EPA-600/3-78-018
February 1978
Ecological Research Series
                          EMPIRICAL RELATIONSHIPS
                 BETWEEN ATMOSPHERIC NITROGEN
                     DIOXIDE AND  ITS  PRECURSORS
                                    Office of Research and Development
                                    U.S. Environmental Protection Agency
                               Research Triangle Park, North Carolina 27711

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                RESEARCH REPORTING SERIES

Research reports of the Office of Research and Development, U.S. Environmental
Protection Agency, have been grouped into nine series. These nine broad cate-
gories were established to facilitate further development and application of en-
vironmental technology.  Elimination  of traditional grouping was consciously
planned to foster technology transfer and a maximum interface in related fields.
The nine series are:

      1.   Environmental Health Effects Research
      2.   Environmental Protection Technology
      3.   Ecological Research
      4.   Environmental Monitoring
      5.   Socioeconomic Environmental Studies
      6.   Scientific and Technical  Assessment Reports (STAR)
      7.   Interagency  Energy-Environment Research and Development
      8.   "Special" Reports
      9.   Miscellaneous Reports

This report has been assigned to the ECOLOGICAL RESEARCH series. This series
describes research on  the effects of pollution on humans, plant and animal spe-
cies, and materials. Problems are assessed  for their long- and short-term influ-
ences. Investigations include formation, transport, and pathway studies to deter-
mine the fate of pollutants and their effects. This work provides the technical basis
for setting  standards to minimize undesirable changes in living organisms in the
aquatic, terrestrial, and atmospheric environments.
This document is available to the public through the National Technical Informa-
tion Service, Springfield, Virginia  22161.

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                                      EPA-600/3-78-018
                                      February 1978
EMPIRICAL RELATIONSHIPS BETWEEN ATMOSPHERIC
    NITROGEN DIOXIDE AND ITS PRECURSORS
                     BY
               John Trijonis
       Technology Service Corporation
          2811 Milshire Boulevard
           Santa Monica, CA  90403
           Contract No. 68-02-2299
               Project Officer

              Basil Dimitriades
 Environmental Sciences Research Laboratory
Research Triangle Park, North Carolina 27711
 ENVIRONMENTAL SCIENCES RESEARCH LABORATORY
     OFFICE OF RESEARCH AND DEVELOPMENT
    U.S. ENVIRONMENTAL PROTECTION AGENCY
RESEARCH TRIANGLE PARK, NORTH CAROLINA 27711

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                                 DISCLAIMER
     This report has been reviewed by the Environmental  Sciences Research
Laboratory, U.S. Environmental  Protection Agency, and approved for publica-
tion.  Approval does not signify that the contents necessarily reflect the
views and policies of the U.S.  Environmental  Protection  Agency, nor does
mention of trade names or commercial  products constitute endorsement or
recommendation for use.
                                    ii

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                                   ABSTRACT
     A two-part study is performed with ambient monitoring data for nitrogen
dioxide and its precursors (NO  and hydrocarbons).  Part I deals with a des-
                              rt
criptive analysis of the nationwide data base for N02; Part II involves
empirical models of the N02/precursor dependence.
     Part I characterizes the statistical properties, geographical  patterns,
and historical trends of ambient N02 concentrations.  Included in Part I are
a survey and quality check of the nationwide N02 data base; a study of statis-
tical distributions for characterizing maximal N02 concentrations;  a descrip-
tive analysis of present N02 air quality for both annual mean and one-hour
maximum concentrations; an examination of historical trends in N02 air
quality; and a study of the relationship between annual mean N02 and yearly
one-hour maximum N02.
     Part II formulates, applies, and tests empirical models that indicate
the dependence of ambient N02 on NOX and hydrocarbon control.  Although the
simple empirical models used are subject to uncertainties, the general con-
clusions of these models agree quite well with smog-chamber results and
historical air quality trends.  Part II studies lead to the conclusions that
(1) with other factors held constant, annual mean and yearly maximum N02 are
essentially proportional to NOV input; (2) hydrocarbon control yields slight-
                              A
to-moderate reductions in yearly maximum N02; (3) hydrocarbon control yields
very slight, essentially negligible, benefits for annual mean N02;   and  (4)
the exact form of the N02/precursor relationship may vary somewhat from one
location to the next, depending on local  conditions.
                                     iii

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                                  CONTENTS


Abstract	iii
Figures	vii
Tables	xii
Acknowledgments  	 xvii


   1.0  Introduction and Summary 	    1

   PART I:  DESCRIPTIVE ANALYSIS OF THE NATIONWIDE N02 DATA BASE  ....   11

   2.0  Data Base Preparation	  .   13
        2.1  SAROAD Printouts of Frequency Distributions 	   13
        2.2  Data Quality Analysis	   19
        2.3  References	   26
   3.0  Statistical Distributions for Characterizing
        Maximal Concentrations 	   27
        3.1  A Method Based on the Lognormal Distribution  	   29
        3.2  A Method Based on the Gamma Distribution	   43
        3.3  Summary:  Uses of Mathematical Distribution Functions ...   48
        3.4  References	   52
   4.0  Characterization of Present N0£ Air Quality Levels 	   54
        4.1  Data Base for Describing Present N0£ Air Quality  	   54
        4.2  Data Patterns Involving Monitor Environment 	   58
        4.3  Nationwide Geographic Patterns in NO? Air Quality 	   65
        4.4  Intraregional Patterns in N02 Concentrations  	   74
        4.5  References	   88
   5.0  Trends in Nitrogen Dioxide Air Quality 	   89
        5.1  Five- and Ten-Year Changes in N02 Air Quality 	   89
        5.2  Year-to-Year Trends in N02 Air Quality  	   94
        5.3  References	102
   6.0  Relationship of Yearly One-Hour Maxima and Annual Means   ....   103
        6.1  Nationwide Patterns in the Maximum/Mean Ratio 	   103
        6.2  Intraregional Patterns in the Maximum/Mean Ratio  	   109
        6.3  Historical Trends in the Maximum/Mean Ratio 	   112

   PART II:  EMPIRICAL MODELS OF THE N02/PRECURSOR RELATIONSHIP   ....   117

   7.0  Empirical Analysis of the NOg/Precursor Dependence 	   119
        7.1  Experimental Evidence of the N02/Precursor Dependence ...   120
        7.2  Formulation of Empirical Models 	   128
        7.3  References	139

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                                CONTENTS (Cont'd)


      8.0  Preparation of Data Base for Empirical  Modeling	   140
           8.1   Computer Tapes of Aerometric Data	   141
           8.2   Creation of the Processed Data Base	   145
           8.3   Data Quality Check	   152
           8.4   References	   "5°
      9.0  Seasonal  and Diurnal  Patterns for N02 and 1ts Precursors .  .  .   157
           9.1   Seasonal Patterns 	   157
           9.2   Diurnal Patterns  	   163
           9.3   Computer File of Dependent and Independent Variables  .  .   176
           9.4   References	   178
     10.0  Empirical Models Applied to Downtown Los Angeles 	   179
           10.1  Statistical Techniques for Empirical  Modeling  	   180
           10.2  Dependence of Daytime NO? on Precursors	   185
           10.3  Dependence of Nighttime N02 on Precursors  	   212
           10.4  Predictive Models for Downtown Los Angeles 	   223
           10.5  References	   242
     11.0  Empirical Models Applied to Various Cities  	   243
           11.1  General Methodology  	   243
           11.2  Control Models for Various Cities  	   247
           11.3  References	   269
     12.0  Validation of Empirical Models Against  Historical
           Air Quality Trends	   270
           12.1  Central Los Angeles Area	   271
           12.2  Coastal Los Angeles Area	   280
           12.3  Inland Los Angeles Area	   284
           12.4  Denver	   288
           12.5  Chicago	   293
           12.6  Summary of Validation Studies	'	   299
           12.7  References	   302
     13.0  Comparison of Empirical Models Against  Smog-Chamber Results.  .   303
     14.0  Conclusions of the Empirical Modeling Study  	   307
           14.1  Summary of the 8-City Study	   307
           14.2  Confidence in the Results	   310

Appendices

     A.  Station-Years with 75% Complete Data on SAROAD as of 3-6-76  .  .   312

     B.  Derivation of Formulas for Distribution of Maxima  	   322

     C.  Data for Characterizing Present N02 Air Quality  	   325

     D.  Summary of Daytime and Nighttime Regression Models for
         Lennox, Azusa, Pomona, Denver, Chicago, Houston/Mae, and
         Houston/Aldine 	   335
                                       vi

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                                  FIGURES
Number                                                                   Page
2.1    Example of SAROAD Printout of N02 Frequency Distributions  ...    14
2.2    Statistical Technique for Identifying Outliers in Reported
         Maxima 	 .....    21
3.1    Comparison of Theoretical Distribution of Maximal z Values
         with Actual Data (m  and s  as Given in SAROAD)	    35
3.2    Example Frequency Distributions for Hourly N02 Concentrations  .    37
3.3    Comparison of Theoretical Distribution of z Values with
         Actual Data (m* and s* Calculated from Mean and 99th
         Percentile)  A . . ?	    38
3.4    Comparison of Theoretical Distribution of z Values with
         Actual Data (Modified Lognormal Approach)  	    41
3.5    Comparison of Theoretical Distribution of s Values with Actual
         Data  (Gamma Distribution Approach)   	    47
4.1    Location of N02 Monitoring Sites in the U.S. (Includes sites
         with at least one year of complete data during 1972-1974)  .  .    59
4.2    Location of N02 Monitoring Sites in California   	    60
4.3    Location of N02 Monitoring Sites in the Los Angeles Region   .  .    61
4.4    Location of NOg Monitoring Sites in the New York-New Jersey-
         New England Area   	    62
4.5    Percentage of Urban Stations with Various Levels of Annual
         Mean N02 Concentrations (1972-1974)  	    66
4.6    Annual Mean NO? Concentrations at Urban Stations in the United
         States (1972-1974) 	    68
4.7    Percentage of Urban Stations with Various Levels of 90th
         Percentile Concentrations (1972-1974)  	    70
4.8    90th Percentile N02 Concentrations at Urban Stations in the
         United States (1972-1974)  	    71
4.9    Percentage of Urban Stations with Various Levels of Yearly
         Maximum N02 Concentration (1972-1974)  	    72
4.10   Yearly One-Hour Maximum Concentrations at Urban Stations in
         the United States (1972-1974)  	    75
4.11   Map of the Metropolitan Los Angeles AQCR    	    76

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                               FIGURES  (Cont'd)

Number                                                                   Page
4.12   Nitrogen Oxides Emission Density Map for the Los Angeles
          Region   ............................    78
4.13   Annual Mean N0? Concentrations in the Los Angeles Region
          (1972-1974)   .........................    79
4.14   90th  Percentile NO? Concent- rations in the Los Angeles Region
          (1972-1974)   . 7 ......................    80
4.15   Yearly One-Hour Maximum NO- Concentrations in the Los Angeles
          Region  (1972-1974)   . . ? ...................    81
4.16   Map of the New York-New Jersey-New England Area   ........    83
4.17   NOv Emissions in Various AQCRs in the New York-New Jersey-New
          England  Area  .........................    84
4.18   Annual Mean NOg Concentrations in the New York-New Jersey-New
          England  Area  (1972-1974)  ...................    85
4.19   90th  Percentile N02 Concentrations in the New York-New Jersey-
          New England Area  (1972-1974)   .................    86
4.20   Yearly One-Hour Maximum NO? Concentrations in the New York-New
          Jersey-New England Area (1972-1974)   .............    87
5.1    N02 Air Quality Trends at 4 CAMP Sites  (Denver, Chicago,
          St. Louis, and Cincinnati)   ..................    95
5.2    N02 Air Quality Trends at 2 New  Jersey  Sites (Bayonne and
          Newark)    ...........................    98
5.3    N0£ Air Quality Trends at 6 Sites in Coastal /Central Los
          Angeles  County   ........................   100
6.T    Distribution of Maximum/Mean  N02 Ratios for Urban Locations  ...   104
6.2    Nationwide Geographic  Distribution of Maximum/Mean N09 Ratio
          at  Urban Sites,  1972-1974    ............ .'  .....   107
6.3    Dependence of Maximum/Mean Ratio on Annual Mean N0?
          Concentrations   ................ ,  .......   108
6.4    Maximum/Mean N02 Ratio at Monitoring Sites in the Los Angeles
          Region,  1972-1974    ......................   HO
6.5    Maximum/Mean N02 Ratio at Monitoring Sites in the New York-New
         Jersey-New England Area, 1972-1974
6.6    Trends in the Maximum/Mean N02 Ratio Averaged over 4 CAMP Sites
          (Denver, Chicago, St. Louis, and Cincinnati)  .........  113
6.7    Trends in the Maximum/Mean N02 Ratio Averaged over 2 New Jersey
          Sites  (Bayonne and Newark)  ..................  113
                                    viii

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                               FIGURES  (Cont'd)


Number                                                                    Page

 6.8   Trends in the Maximum/Mean NO? Ratio at 6 Sites in Coastal/
         Central Los Angeles County (Burbank, Lennox, Long Beach,
         Los Angeles, Reseda, and Westwood)  ..............   114

 6.9   Trends in the Maximum/Mean N02 Ratio at 5 High-Growth
         Locations within the Los Angeles Basin (Anaheim, La Habra,
         Azusa, Pomona, San Bernardino)  ................   115
 6.10  Trends in the Maximum/Mean N0£ Ratio at 5 Locations in Central
         California (Redwood City, Salinas, San Rafael, Santa Cruz,
         Stockton)   ..........................   116

 7.1   Nitrogen Dioxide Ten-Hour Average Concentration vs. Initial
         Oxides of Nitrogen for Urban Hydrocarbon Mix  (Means of
         Several Experiments), University of North Carolina Study  ...   121
 7.2   Nitrogen Dioxide Dosage as a Function of NOX at Various HC
         Levels, Bureau of Mines Study   ................   122

 7.3   Nitrogen Dioxide Dosages in the Irradiation of Multi component
         Hydrocarbon/N0x Mixtures, General Motors Study   ........   122

 7.4   Average N02 Concentration (Over Six Hours) vs.  Initial NO
         at Three HC Levels, HEW Study   ............ *. . .  .   123

 7.5   Average NO? Concentration (During First Ten Hours) vs. Initial
         NOX at Three HC Levels, HEW Study   ..............   123

 7.6   Stephens' Hypothesis of Effect of HC and NOX Control  ......   125
 7.7   Nitrogen Dioxide Maximum Concentration vs. Initial Oxides of
         Nitrogen (Means of Several Experiments), UNC Study  ......   126

 7.8   Dependence of Nitrogen Dioxide Maximum Concentration on
         Initial Nitrogen Oxides, Bureau of Mines Study   ........   126

 7.9   Typical Diurnal Pattern for Nitrogen Dioxide  ..........   129
 7.10  Conceptual Diagram of Empirical Model for Daytime  Peak One-
         Hour N02  ...........................   131
 7.11  Map of the Metropolitan Los Angeles AQCR  ............   135

 9.1   Seasonal Pollutant Patterns for Denver (Monthly Averages of
         Daily Max One-Hour Concentrations, 1969-1973)    ........   158

 9.2   Seasonal Pollutant Patterns for Chicago (Monthly Averages of
         Daily Max One-Hour Concentrations, 1969-1973)    ........   158

 9.3   Seasonal Pollutant Patterns for Houston/Mae (Monthly Averages
         of Daily Max One-Hour Concentrations, 1975-1976)  .......   159
 9.4  Seasonal Pollutant Patterns for Hous ton/ Al dine (Monthly Averages
         of Daily Max One-Hour Concentrations, 1975-1976)  .......   159
                                      ix

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                              FIGURES (Cont'd)

 Number                                                                   Pa9g.
 9.5    Seasonal  Pollutant Patterns  for Los  Angeles  (Monthly Averages
          of Daily Max One-Hour Concentrations,  1969-1974)  	   160
 9.6    Seasonal  Pollutant Patterns  for Lennox  (Monthly Averages of
          Daily Max One-Hour Concentrations, 1969-1974) 	   160
 9.7    Seasonal  Pollutant Patterns  for Azusa (Monthly Averages of
          Daily Max One-Hour Concentrations, 1969-1974)   	   161
 9.8    Seasonal  Pollutant Patterns  for Pomona  (Monthly Averages of
          Daily Max One-Hour Concentrations, 1969-1974)   	   161
 9.9    Diurnal Patterns at Denver (1969-1973)   	   165
 9.10   Diurnal Patterns at Chicago  (1969-1973)    	   166
 9.11   Diurnal Patterns at Houston/Mae (1975-1976)    	   167
 9.12   Diurnal Patterns at Houston/A!dine (1975-1976)  	   168
 9.13   Diurnal Patterns at Downtown Los Angeles (1969-1974)  	   169
 9.14   Diurnal Patterns at Lennox (1969-1974)   	   170
 9.15   Diurnal Patterns at Azusa (1969-1974)   	   171
 9.16   Diurnal Patterns at Pomona (1969-1974)   	   172
 10.1    Mid-Mean and Percentiles of Daytime Peak N02 vs. 6-9 A.M. NOX .  .   181
 10.2    Output of COMPLIAR Program for DPKN02 vs. NMHCPR and NOX69,
          Winter Season 	   184
 10.3    Dependence of Residual Daytime N0£ on INTNO (NOX69 - N025),
          Winter Season   	   195
 10.4    Dependence of Residual Daytime N02 on INTNO (NOX69 - N025),
          Summer Season   	   196
 10.5    Residual Daytime N02 vs. INTNO at Various Hydrocarbon Levels,
          Winter Season   	   200
 10.6    Residual Daytime N02 vs. INTNO at Various Hydrocarbon Levels,
          Summer Season   	   201
 10.7    Residual Daytime N02 vs. INTNO at Various Hydrocarbon-to-NO
          Ratios, Winter Season   	x. .  .   202
 10.8    Residual  Daytime N02 vs. INTNO at Various Hydrocarbon-to-NO
          Ratios, Summer Season   	x. .  .   203
10.9    Residual  Nighttime N02 vs.  NITENO, Winter Season  	   217
10.10   Residual  Nighttime N02 vs.  NITENO, Summer Season  	   218
10.11   Residual  Nighttime N02 vs.  NITENO at Various Afternoon Ozone
          Levels, Winter Season   	   219

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                               FIGURES (Cont'd)


Number                                                                   Page

10.12  Residual Nighttime N0£ vs. NITENO at Various Afternoon Ozone
         Levels, Summer Season  	   220
12.1   Total NOV Emission Trends in the Los Angeles Basin   	   272
               A
12.2   Total Reactive Hydrocarbon Emission Trends in the Los
         Angeles Basin  	   273
12.3   Geographical Distribution of Percentage Change in Population
         in the Los Angeles Basin, 1965 to 1975   	   275
                                      xi

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                                   TABLES




Number                                                                  Page
2.1

2.2

2.3
3.1

3.2
4.1
4.2

4.3

4.4

4.5

4.6

5.1
5.2
6.1

8.1
8.2
8.3
8.4
8.5
8.6

8.7
Sites Reporting at Least 75% Complete Data for Hourly N0£
Measurements 	
Monitoring Methods for Sites 'eporting at Least 75%
Complete Data 	
Results of Data Quality Check 	
Median z Values for the Maximum As a Function of
Sample Size 	
Variance in Yearly One-Hour N02 Maxima 	
Stations for Characterizing Present N02 Air Quality 	
Number of Sites in Various Categories of Monitor
Environment 	
N02 Air Quality for Various Categories of Monitor
Environment 	
Stations Exceeding the NAAQS for Annual Mean N0?
(5.3 pphm), 1972-1974 	 c 	
Monitoring Sites with 90th Percentile NO? Concentrations
Greater than 10 pphm (1972-1974) 	
Monitoring Sites with High Yearly Maximal One-Hour
Concentrations (1972-1974) 	
Five-Year Changes in Ambient NOg Concentrations 	
Ten-Year Changes in Ambient ^ Concentrations 	
Locations with Maximum/Mean NO? Ratios Exceeding
10.0, 1972-1974 	 	 	
Pollutant Data Used for Denver and Chicago 	
Format of Hourly SAROAD Data for CAMP Sites 	
Pollutant Data Used for Houston/Mae and Houston/Aldine ....
Pollutant Data Used for the 4 Los Angeles Sites 	
Format of Hourly APCD Data 	
Parameters Included in the APCD Meteorological "99 Cards"
for Downtown Los Angeles 	
New Format for Pollutant Variables 	

17

18
23

33
50
55

b8

64

67

70

73
91
93

105
141
142
143
144
144

145
146
                                    XII

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                               TABLES  (Cont'd)


Number                                                                   page

 8.8   Number of Days Meeting Each Criterion  	     150

 8.9   Deletions Made in Processed Data Bases for Chicago
         and Denver	     155

 9.1   Variables for the Empirical Modeling Analysis  	     177
10.1   Glossary of Variables for the Daytime Analysis   	     186

10.2   Correlation Coefficients Between Morning  Percursor
         Variables	     189

10.3   Logarithmic Regression Coefficients for Pairs of
         Morning Pollutant Variables 	     190
10.4   Values of A, B,, and  B? foiFRegressions According
         to  Equation   (12)  .	     194

10.5   Hydrocarbon Regression Coefficient for Logarithmic
         Regressions of Daytime N02 vs. NOX69 and HC69	     198

10.6   Results of Stepwise Regressions According to
         Equation (14) or  (15)	     206
10.7   Results of Logarithmic Regressions Between Daytime
         N02 and Weather Variables	     208
10.8   Linear Correlation Coefficients Between Weather
         Variables and Precursor Variables 	     210
10.9   Effect of Including Weather Variables in the Linear
         Regressions According to Equation (15)  	     213
10.10  Results of Nighttime  Regression Analysis According
         to  Equation (16)	     215

10.11  Results of Nighttime  Regression Analysis According
         to  Equation (18)	     221
10.12  Percentage Changes in Winter Daytime Average N02 at
         Downtown Los Angeles as a Function of NO  and
         Hydrocarbon Control	     227
10.13  Percentage Changes in Summer Daytime Average N02 at
         Downtown Los Angeles as a Function of NO  and
         Hydrocarbon Control	     229
10.14  Percentage Changes in Summer Nighttime Average N02 at
         Downtown Los Angeles as a Function of NOX and
         Hydrocarbon Control  .	     232
10.15  Percentage Changes in Summer Nighttime Average N02 at
         Downtown Los Angeles as a Function of NOX and
         Hydrocarbon Control  	     233
                                      • • •
                                     xm

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                               TABLES (Cont'd)

Number                                                                    Page


10.16  The Effect of NO  and Hydrocarbon Control on Annual
         Average N02 at Downtown Los Angeles .............     235

10.17  Days in the Processed Data Base with Extreme One-Hour
         N02 Levels in Downtown Los Angeles (1969-1974)   .......     237

10.18  Percentage Changes in Winter Yearly Peak One-Hour  N02
         as a Function of NOV and Hydrocarbon Control  ........     239
                            t\
10.19  Percentage Changes in Summer Yearly Peak One-Hour  N02
         as a Function of NOV and Hydrocarbon Control  ........     239
                            A
10.20  Yearly One-Hour Maximum N02 Levels in Downtown Los
         Angeles as a Function of NOX and Hydrocarbon
         Control .......... ..... . ... .........     240

11.1   Assumptions to Convert Equation (28) into a Control
         Model for Daytime N02 ....................     246

11.2   Assumptions to Convert Equation (29) into a Control
         Model for Nighttime N02 ...................     247

11.3   The Effect of NOX and Hydrocarbon Control on Annual
         Mean N0£ at Lennox  .....................     249

11.4   The Effect of NOX and Hydrocarbon Control on Yearly
         Maximum One-Hour N02 at Lennox  ...............     251

11.5   The Effect of NOX and Hydrocarbon Control on Annual
         Mean NO  at Azusa ......................     252
11.6   The Effect of NOX and Hydrocarbon Control on Yearly
         Maximum N02 at Azusa  ....................     254
11.7   Predicted Yearly Maximum NO? Concentrations at Azusa
         as a Function of NOX and Hydrocarbon Control  ........     255

11.8   The Effect of NOX and Hydrocarbon Control on Annual
         Mean N02 at Pomona  .....................     257

11.9   The Effect of NOX and Hydrocarbon Control on Yearly
         Maximum N02 at Pomona ............ ........     258

11.10  The Effect of NOX and Hydrocarbon Control on Annual
         Mean N02 at Denver  .....................     259

11.11  The Effect of NOX and Hydrocarbon Control on Yearly
         Maximum N02 at Denver ....................     261

11.12  The Effect of NOX and Hydrocarbon Control on Annual
         Mean N02 at Chicago .....................     262

11.13  The Effects of Hydrocarbon Control on Yearly
         Maximum One-Hour N02 at Chicago ...............     264
                                     xiv

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                               TABLES  (Cont'd)


Number                                                                    Page


12.1     Best Estimates of Nine-Year NOV and NMHC Trends at
           DOLA, Burbank, and Reseda   .x	    278

12.2     Test of DOLA Empirical Control Model for Annual
           Mean N02	    279

12.3     Test of DOLA Empirical Control Model for Yearly
           Maximum One-Hour N02	    279
12.4     Best Estimates of Nine-Year NOX and NMHC Trends at
           Lennox, Long Beach, and West LA	    282

12.5     Test of Lennox Empirical Control Model for Annual Mean
           N02	    283
12.6     Test of Lennox Empirical Control Model for Yearly
           Maximum One-Hour N02	    283

12.7     Best Estimates of Nine-Year NOX and NMHC Trends at
           Azusa and Pomona	    286

12.8     Test of Azusa and Pomona Control Models for Annual
           Mean N02	    286
12.9     Test of Azusa and Pomona Control Models for Yearly
           One-Hour Maximum N02	    287
12.10    Estimates of Hydrocarbon and  NOX Emission Trends for the
           Denver Region	    290
12.11    Best Estimates of Five-Year NOX and NMHC Trends at
           Denver	    291
12.12    Test of Denver Control Model  for Annual Mean N02   	    292
12.13    Test of Denver Control Model  for Yearly Maximum
           One-Hour N02	    293
12.14    Estimates of Hydrocarbon and  NOX Emission Trends
           for Chicago	    295
12.15    Best Estimates of Eight-Year  NOX and NMHC Trends at
           Chicago	    297
12.16    Test of the Chicago Control Model for Annual Mean N02   ....    297
12.17    Test of the Chicago Control Model for Yearly Maximum
           One-Hour N02	    298
12.18    Summary of Historical Precursor Trends and Ambient N02
           Trends for the 4 Study Areas Experiencing Significant
           Hydrocarbon Control  	    301
13.1     Predicted Impact of a 50% Hydrocarbon Reduction on
           Daytime N02 in the Winter	    305


                                     xv

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                               TABLES (Cont'd)


Number                                                                   Page


13.2     Predicted Impact of a 50% Hydrocarbon Reduction on
           Daytime N0  in the Summer ..................  305
14.1      Predicted Impact of a 50% Hydrocarbon Reduction on
           Annual  Mean N02 and Yearly One- Hour Maximum N02 .......  309
                                    xvi

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                                ACKNOWLEDGMENTS
     The preparation of this report has benefited from the assistance of
numerous people at Technology Service Corporation (TSC) and the Environmental
Protection Agency (EPA).  TSC's air quality programmers, in particular, Matt
Jolley, Saul Miller, and Eric Helfenbein, provided creative solutions for
several difficult programming problems and worked diligently on the many
computer runs required in the study.  Drs. William Meisel and Leo Breiman
deserve thanks for the valuable guidance they contributed on data analysis
methods and other technical issues.  The work, and patience, of Patty
Mickelsen, Carolyn Sink, Susan Feder, and Marian Branch, in preparing the
manuscript is also gratefully acknowledged.
     Basil Dimitriades, the EPA Project Officer, provided sound technical
guidance and helped to solve problems in the project while leaving us the
degree of freedom necessary for creative thinking and fruitful research.
Several EPA reviewers, including Edwin Meyer, Gerald Akland, Robert
Frankhauser, Joseph Bufalini, Thomas McCurdy, Walter Stevenson, and John
McGinnity, deserve thanks for their interest in the project and their helpful
comments on draft reports.
     The EPA National Air Data Branch, California Air Resources Board,
Southern California Air Quality Management District, and Texas Air Control
Board are sincerely thanked for providing air quality data in an expeditious
manner.
                                     xvn

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                      1.0  INTRODUCTION AND SUMMARY

     The National Ambient Air Quality Standards presently include one
                                       o
standard for nitrogen dioxide, 100 ug/m  (0.053 ppm) for the annual  mean
concentration.  In the near future, EPA will revise the "Air Quality
Criteria for Nitrogen Oxides." This revision may lead EPA to supplement
the long-term standard for N02 with a short-term (e.g., one-hour) standard
and to consider new control strategies.  To support this regulatory program,
there is a need for empirical analyses of ambient monitoring data for
nitrogen dioxide and its precursors.  These analyses should consider both
annual mean N02 concentrations and maximal short-term N02 concentrations.
     At least two types of empirical studies are required.  The first in-
volves a descriptive analysis of ambient N02 concentrations.  There is a
need to identify regions of the United States that may exceed the annual
mean standard and/or a proposed short-term standard for N02>  Statistical
properties of N02 frequency distributions and trends in N02 air quality
should be quantified.  Also,  data should be assembled  for assessing whether
the annual standard or a proposed short-term standard is the binding
constraint for control strategy formulation.
     The second type of study involves empirical modeling of the relation-
ship between N02 concentrations and precursors.    It is generally agreed
that N09 concentrations should be  proportional  to  NOV concentrations
        L~                               _	 .._  . ._ . ... yv.  _ ... —    	
with all other factors held constant,  but  there is substantial uncertainty
concerning the impact of hydrocarbon control on ambient N02 levels.  Empiri-
cal modeling techniques, applied to ambient monitoring data, should provide
a better understanding of these relationships.

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     This report is organized in two parts corresponding to the two
types of empirical studies.  Part I (Chapters 2 through 6) involves a
descriptive analysis- of the nationwide N02 data base; Part II (Chapters 7
through 14) deals with empirical models of the N02/precursor relationship.
The remainder of this chapter provides a summary of the report.
1.1  SUMMARY OF PART I:  DESCRIPTIVE ANALYSIS OF THE NATIONWIDE N02
     DATA BASE
     The objective of Part I is to describe the statistical properties,
geographical patterns, and historical trends of ambient N02 concentrations.
The findings and conclusions of this descriptive analysis are summarized
in the paragraphs below.  For convenient referencing, the summary is organ-
ized according to the order of the chapters  (2  through  6).
Data Base Preparation
•  As of March 1976, the National Aerometric Data Bank contained 462
   station-years of hourly N02 data that met EPA's 75% completeness
   criterion.  Most of these data, 302 station-years, are from California.
   Since 1972., there has been a sharp increase in the number of sites pro-
   viding complete data sets for N02, especially in the number of sites
   outside California.
t  Data quality checks should precede all statistical studies of air
   monitoring data.  In this study, data verification procedures focus
   on reported yearly one-hour maxima.  As a result of the quality check,
   42 of the 462  station-years  of data  are  found  to  require
   correction.   It is remarkable that no errors were uncovered in the
   California N02 data.
Statistical  Distributions for Characterizing Maximal Concentrations
•  Lognormal distributions which are fit to the entire range of one-hour
   concentration data overpredict yearly one-hour N02 maxima,  typically
   by about 50%.   If lognormal  distributions are fit to the upper range
   of the hourly concentration data (e.g., to the arithmetic mean and
   99th  percentile), the overprediction of the maximum is reduced to only
   10%-20%.   Some  of the overprediction may be due to autocorrelations

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   (e.g., dependent sampling) in the actual hourly data.  A modified log-
   normal approach to predicting maxima involves reducing the theoretical
   yearly sample size; this approach can account for the autocorrelations
   in a very approximate way.
t  The Gamma distribution seriously underpredicts yearly one-hour N02
   maxima.  The lognormal distribution, fit to the upper range of the
   hourly concentration data, seems preferable to the Gamma distribu-   \
   tion for the purposes of characterizing expected yearly maxima.
t  There are four potential uses for mathematical distributions in
   analyzing maximal N02 concentrations:  to identify outliers for the
   data quality check, to estimate the random variance in yearly maxima,
   to adjust yearly maxima for incomplete sampling, and to characterize
   patterns in yearly maxima using expected (predicted) maxima rather
   than measured maxima.  For the purposes of this study, the lognormal
   distribution is appropriate for the first three uses.  No distribu-
   tion is appropriate for the fourth use; it is best to characterize
   spatial and temporal patterns in yearly maxima by using the actually
   measured maxima.
Characterization of Present N02 Air Quality Levels
•  There are 123 monitoring sites'which provide at least one year of
   data from 1972 to 1974.  Of these, 120 can be classified as
   urban; the other 3 are rural/power plant sites.  Averages for
   various categories of urban sites (center city vs. suburban, or indus-
   trial vs. commercial vs. residential vs. mobile) all show about the
   same level of annual mean, 90th percentile, and yearly maximum N02
   concentrations.  The  3 rural/power plant sites are atypical  be-
   cause of their low annual means and very high maximum-to-mean ratios.
•  Eighteen  of the 120 urban monitoring sites exceed the federal standard
   for annual  mean N02-  Thirteen of these sites are in the Los  Angeles
   basin; the other five locations are Baltimore, Md.; Springfield, Mass.;
   Chicago, 111.; Newark, N.J.; and Elizabeth, N.J.  Fourteen nationwide
   sites exhibit 90th percentiles exceeding 10 pphm. Forty-seven of the

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    120  urban monitoring sites have yearly one-hour maxima which exceed
    25 pphm, but only 4 sites experience yearly one-hour maxima that exceed
    50 pphm.  The sites with the highest yearly maximal and 90th percentile
    concentrations are generally the same as the sites with the highest
    annual mean concentrations; the Los Angeles basin is the national hot
    spot for annual mean, 90th percentile, and one-hour maximal N02
    concentrations.
•  Within the Los Angeles  basin,  the  spatial  distribution  of N02  concen-
   trations generally corresponds  well  with  the  distribution of NOX
   emissions.   In parts  of the Los Angeles  region,  on a  scale of  about
   50 km, there is evidence that  both transport  and local  effects are
   important for N02.  N02 concentrations do not follow  consistent overall
   patterns in the New York-New Jersey-New England  area.   On the  scale of
   this multi-state region (approximately 500 km),  localized emissions
   seem to be more important than  regional  transport for nitrogen dioxide
   pollution.
Trends in Nitroflen Dioxide Air Quality
t  Five-year trends (1969-1974) in N02 concentrations show the following:
   no change for Los Angeles County (a slow-growth  part  of the Los Angeles
   basin), about a 30%-50% increase in Orange County (a  high-growth part
   of the Los Angeles basin),  about a 10% decrease  at other California sites
   and in New Jersey, and  a large  increase (about 30%-50%) in Chicago.   Ten-
   year concentration trends (1964-1974)  show about a 10%  to 20%  increase in
   Los Angeles County, with larger increases  (about 40%) at  Stockton, Calif.
   and Chicago, 111.   For  most sites,  yearly maximal  N02 concentrations
   increase less  than (or  decrease more than) annual  mean  N02 concentrations.
•  For the most part, year-to-year trends in N02 concentrations at CAMP
   sites, New Jersey sites, and Los Angeles  sites can be explained in
   terms of source growth  and  changes  in  emission factors.  Historical
   N02 trends  in  Los  Angeles show  an  earlier rise,  and then an earlier
   decline,  than  N02 concentrations at CAMP  sites;  this  reflects  the new-car

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   emission control program which started two years earlier in California
   and included an NO  emission standard two years earlier in California
                     /\
   than nationwide.
Relationship of Yearly One-Hour Maxima and Annual Means
•  Eighty-five percent of the 102 urban monitoring sites have maximum/mean
   N02 ratios between 4 and 8.  One location exhibits a maximum/mean
   ratio slightly less than 4.  Only six percent of the locations have
   maximum/mean ratios greater than 10.
t  If a one-hour N02 standard were set at 25 pphm, and if maximal and mean
   N02 concentrations responded equivalently to emission changes, the one-
   hour standard (rather than the present annual mean standard) would be
   the binding constraint at 88% of the urban locations.  If a one-hour N02
   standard were set at 50 pphm, the annual mean standard would be the
   binding constraint at 94% of the urban locations.
•  There are no broad nationwide patterns in the maximum/mean N02 ratio.
   Also, the maximum/mean ratio for urban sites does not depend
   significantly on the annual mean concentrations.  No consistent
   patterns in the maximum/mean ratio appear on an intraregional scale
   in  Los Angeles  or the New York-New Jersey-New England area.
•  The maximum/mean ratio shows a strong downward trend in coastal/central
   Los Angeles County over the past decade.  This area has experienced
   significant hydrocarbon control.  The empirical models of Part II indi-
   cate that hydrocarbon control preferentially reduces maximum N02 con-
   centrations over mean N02 concentrations.  Changes in the spatial
   distribution of emissions may also lead to reductions in the maximum/
   mean ratio.  CAMP sites and other sites in California also show a de-
   creasing maximum/mean ratio.  The maximum/mean ratio has remained
   approximately constant at New Jersey locations and in high-growth
   areas of the Los Angeles basin.
                                                            »
1.2  SUMMARY OF PART II:  EMPIRICAL MODELS OF THE N02/PRECURSOR RELATIONSHIP
     The objective of Part II is to develop, apply, and test empirical
models  that indicate the dependence of N02 on hydrocarbon and NOX control.

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                                     6

The findings and conclusions of Part II  are summarized below;  the summary
is organized according to the order of the chapters   (7 through  14).
Empirical Analysis of the N02/Precursor Dependence
•  Historically, experimental studies with smog chambers have  provided
   most of our understanding of the N02/precursor dependence.  The various
   smog-chamber studies agree concerning the proportional  dependence of
   N07 (average or peak concentrations)  on NO .  Although  the  individual
     L-                                       X
   chamber studies disagree concerning the effect of hydrocarbons on NC^,
   a consensus  would be that hydrocarbon control  yields slight  to
   moderate  benefits  in  terms of  maximal N02 and  produces essentially
   no effect on annual mean N02.   Because of disagreements among the
   chamber studies and because of uncertainties in extrapolating experi-
   mental simulations to the atmosphere, there is a  need for empirical
   models that extract information on the NOp/precursor dependence from
   ambient monitoring data.
t  This report develops empirical  control models by  combining  statistical
   (regression) equations with simple physical assumptions.  The empirical
   modeling analysis is disaggregated by time of day and by season.   The
   statistical equations for daytime N02 use early-morning (6-9A.M.) hydro-
   carbons and NOY as precursor variables.  Evening  NOV and late-afternoon
                 A                                    A
   oxidant are considered as precursors  of nighttime N02.   The final  control
   models for annual mean N02 and yearly maximum N02 are based on a synthesis
   of submodels for each time of day and each season, with linkages between
   the daytime and nighttime models to account for carryover N02 from one
   part of the day to another.
•  The simplified empirical approach followed here is subject  to several
   limitations:  the omission of meteorological variables, the neglect of
   transport phenomena, and the assumption that precursor changes produced
   by variance in meteorology can be used to model the effect  of control
   strategies.  These limitations indicate a need to compare  the empirical
   models against smog-chamber results and historical air quality trends.

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Preparation of Data Base for Empirical Modeling
t  The empirical  models are applied to 8 locations:  2 CAMP sites
   (Denver and Chicago), 2 Houston sites (Mae and Aldine), and 4
   Los Angeles sites (Downtown Los Angeles, Lennox, Azusa, and Pomona).
   The historical monitoring data for each site are processed, reformu-
   lated, checked, and edited before statistical models are attempted.
Seasonal and Diurnal Patterns for N02 and its Precursors
•  Concentrations of the photochemical precursors  (NMHC and NOY) tend to
                                                              J\
   be greatest during the winter.  Oxidant concentrations, however, are
   greatest during the summer because of increased solar radiation and
   temperature.  Seasonal patterns for NC^ vary from location to location
   and apparently reflect competition between higher primary contaminant
   concentrations in the winter and greater photochemical activity in the
   summer.
•  Diurnal patterns for primary contaminants exhibit two peaks—one in
   the morning at about 8:00 A.M. and the other in the evening, anywhere
   from 6:00 P.M. to midnight, depending on the site.  Oxidant concentrations
   exhibit a single maximum, usually between 1:00 P.M. and 5:00 P.M.  At most
   locations, N02 concentrations Ifiow two maxima—one at about "9YOO~A~7W^
   to 10:00 A.M., the other anywhere From 6:00 P.M. to midnight. Although
   the diurnal patterns for NMHC, NOX, and N02 do exhibit two maxima during^
   the day, the concentrations at other times of the day and night are by
   no means negligible compared with the peaks.
•  For the purposes of the empirical modeling study, the seasonal patterns
   indicate that a two-season division, winter (October-March) and summer
   (April-September), is appropriate.  The diurnal pollutant patterns lead
   us to define "daytime" and "nighttime" modeling periods as 6:00 A.M. to
   4:00~ P.M. and 4:00 P.M. to~6:00 A.M. of the following day, respectively.
Empirical Models Applied to Downtown Los Angeles
•  A wide variety of statistical techniques are used to explore the data
   base for Downtown Los Angeles.  These techniques all yield the same

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                                     8
   qualitative conclusions concerning the dependence of N02 on precursors.
   The most important contributors to daytime N02 (both peak and average)
   are nighttime carryover N02 (N02 at 6:00 ATR.)  and initial  NO (N0y from
   6:00 A.M. to 9:00 A.M/mTnus N02 at~67d6~O!T.~  Hy^d>Tca~rbbn reductions yield a
   small, but statistically significant,  benefit in  terms  of daytime N02.
   The hydrocarbon effect is greater for  peak N02  than average N02, is
   greater in winter than summer,  and is  greater at  high NOX levels than
   low NO  levels.
                                                                „
t  Three factors are found to be contributors to nighttime  NQ9--carryover
                                                              4_
   N02 from the afternoon, early-evening  NO, and afternoon oxidant (which
   presumably combines with evening NO).   Hydrocarbon control  should de-
   crease afternoon oxidant (assumed proportional  to the NMHC/NOX ratio).
   This effect is counterbalanced because hydrocarbon control  apparently
   increases carryover N02 from the afternoon.
•  Statistical analyses involving meteorological parameters indicate that
   the observed hydrocarbon effect may be partially  an artifact produced
   by unaccounted for weather variables.   This  finding reinforces the
   need to check the empirical control models against smog-chamber results
   and historical trends.
Empirical Models Applied to Various Cities
•  The formulation of empirical models for the 8 selected locations
   proceeds smoothly with the exception of nighttime models for the 2
   Houston locations.  Complete empirical control  models for annual mean
   N02 and yearly one-hour maximum N02 are developed for the 6 non-Houston
   sites.
•  The empirical models for all SHIbcations  (as well  as  the  daytime models
   for the 2 Houston sitesT indicate that,  with other factors  held constant,
   both annual mean N02 and yearly maximum N02 are essentially proportional
   to NOX input.  The slight deviations away from  proportionality that
   sometimes occur in the empirical models are all in the direction of a
   less -than-proportional relationship.

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t  The empirical models for various cities show that hydrocarbon control
   yields slight, essentially negligible4 effects on annual mean N02.  The
   models predict that 50% hydrocarbon control decreases annual mean
   N02 by 6% at Downtown Los Angeles, 2% at Lennox, 2% at Azusa, 11%
   at Pomona, and 0% at Chicago, and increases annual mean N02 by 5% at
   Denver.
•  The empirical models indicate that hydrocarbon reductions yield slight-
   to-moderate benefits for yearly maximum N02«  Fifty-percent hydrocarbon
   control reduces yearly maximum N02 by 25% at Downtown Los Angeles, 10%
   at Lennox, 6% at Azusa, 19% at Pomona, 0% at Chicago, and 8% at Denver.
   Yearly maximum N02 occurs under winter/daytime conditions at Downtown
   Los Angeles, Lennox, Denver, and Houston/Mae; under summer/daytime
   conditions at Chicago; and under winter/nighttime conditions at Azusa,
   Pomona, and Houston/Aldine (the 3 downwind receptor sites studied).
 Validation of Empirical Models Against Historical Air Quality Trends
 •  Validation studies for the empirical N02 control models are conducted
   at 10 monitoring sites:  3 in the central Los Angeles area",  3
   in the coastal Los Angeles area, 2 in the inland Los Angeles area, 1
   in Denver, and 1 in Chicago.  Verification of "the models against trends
   at individual monitoring sites attains a mixed level of success, with
   best  results obtained in the central and coastal Los Angeles area.
   The less successful tests at Azusa and Pomona may indicate that omitting
   transport relationships in the empirical models is inappropriate for
   these two sites  (as it also seemed to be for Houston/Aldine).
 •  In an aggregate sense, historical air quality trends confirm the
   general results of the empirical modeling study.  Viewed as a whole,
   the trends are consistent with the conclusions:  (1) a proportional
   relationship exists between N02 and NOX; (2) a slight to moderate
   hydrocarbon effect exists for yearly maximum N02; and (3) a very slight
   (if any) hydrocarbon effect exists for annual mean N02.

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                                    10
Comparison of Empirical Models Against Smog-Chamber Results
•  The general conclusions of the empirical  modeling study agree quite
   well with conclusions based on smog-chamber simulations.  Agreement
   exists with respect to the impact of NOY  and/or hydrocarbon control
                                          J\
   on both annual  mean and yearly maximum NO/> concentrations.
•  The variations  in the empirical models from city to city can be due
   either to errors in the individual  models or to real  variations in the
   N02/precursor dependence from one location to the next.   The differences
   in the N02/precursor relationship found in different smog-chamber
   studies indicate the latter case is certainly  a possibility.  However, we
   are more sure of the general conclusions  of the empirical modeling study
   than we are of the specific models  for individual cities.
Conclusions of the Empirical Modeling Study
•  The empirical models, in conjunction with smog chamber studies and
   historical trend analysis, lead us  to a basic understanding of the
   dependence of ambient N02 concentrations  on precursor control.  Although
   all three approaches involve uncertainties, they all  are consistent
   with the same general conclusions:
   1.  With other factors held constant,  yearly maximal  and annual
       mean N02 concentrations are essentially proportional to NOV input.
                                                                 A
   2.  Hydrocarbon control yields slight to  moderate benefits in
       yearly maximal one-hour N02; reducing hydrocarbons by 50% should
       decrease yearly maximal N02 by  about  10% to 20%.
   3.  Hydrocarbon control yields very slight, essentially negligible,
       benefits in annual mean N02>
   4.  The exact form of the N02/precursor relationship may vary some-
       what from one location to the next,  depending on  climatic  conditions,
       reaction times, and the existing hydrocarbon/NO  ratio.
                                                      A

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            11
           PART I:





DESCRIPTIVE ANALYSIS OF THE



  NATIONWIDE N02 DATA BASE

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                                    13
                       2.0  DATA BASE PREPARATION
     The objective of Part I of this report is to characterize nitrogen
dioxide air quality in the United States, with particular emphasis on
annual mean N02 concentrations and maximum one-hour N02 concentrations.
The data base available for performing this characterization consists of
yearly frequency distributions of all hourly N02 data in the EPA SAROAD*
system.  This chapter describes how the available data were processed,
checked, and modified for the purposes of the study.

2.1  SAROAD PRINTOUTS OF FREQUENCY DISTRIBUTIONS
     The available data for analyzing nationwide N02 air quality  are
printouts of yearly frequency distributions  for all  hourly N02  data in
the EPA SAROAD system as of 6 March 1976.   Figure 2.1  presents  an example
of this type of printout.   As illustrated in Figure  2.1, the SAROAD printout
for each site provides the site code, the name of the  monitoring  agency,
regional population statistics, general  information  on the site location
(address, city, county, state, air basin, and type of  surrounding environ-
ment), and specific locational parameters (latitude, longitude, UTM coor-
dinates, and elevation).   For each year of monitoring  activity, the SAROAD
printout indicates the 10th, 30th, 50th,  70th,  90th, 95th,  and  99th percen-
tile concentrations and the yearly maximum one-hour  concentration in  units
of yg/m3.  The total number of hourly measurements and the  monitoring  method
are also listed each year.   For those years  with data  for at least 75% of
      SAROAD = Storage and Retrieval of Aerometric Data

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                                                                     0«T«
                                                  »€«I»LY FREQUENCY DISTRIBUTION
                                                                                                               t-y
 «rnr
                                 COUWTY  ti*?oi: Jtrrrssoi en
                                                                                                L"N«;iTi)pr_;  us «• 15 p. IT
CITY
STATION TYPE  t«3l: CENTER CITt .
         1} LOUI5»I|IE	
                                                                                                UTH NOPTMIMCf
                                                                                                »tn r« ST 1161 — nonnmn
                       pnttitTion  CB
                                           : I.OWISVII.LE,
                                                 or
                                                                                                                           fr.
                                                       nmnn coutTY --
co««!Cnrs: MC»VY TRAP.  orN5tTTi  senr  INO., CONSIPEW^LC nrsiocncrs  WITHIN  i-
                                                 «-tTt

POtLI'T*frf-'»ETHO9 C0f>r N1W »IN

PERCENT ILES

N*I »H1TM
«« ••• tta

«rn"€T^IC
                     UMTTS
 TI
              BIO»I?	ofi/c» Mrrrn  in  r»	
                                                         47.
                                                                      75.   |13.
                                                                                          160.    3*S.
       ;n«Trn."iENT»l.
 73
         I-HOUR
                                   ei
              BlOXlOf
                                                                       
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                                     15
all hours, the arithmetic mean, geometric mean, and geometric standard
deviation are listed.  For the example presented here, Louisville site
011601, data for 75% of all hours were reported only during 1973 and 1974.*
     In this study, data are included only for those stations and years
that meet the 75% completeness criterion.  The reasons for excluding data
which fail the 75% criterion are threefold.  First, N02 concentrations at
many sites follow distinct seasonal patterns.  There is a danger that in-
complete sampling might be performed only during certain seasons.  This
could seriously bias the measured frequency distribution.  Second, the
arithmetic mean, geometric mean, and geometric standard deviation are inn
portant for statistical calculations performed in this study.  These para-
meters are not provided for data sets which fail the 75% criterion.   The
parameters could be estimated from the reported percentile concentrations,
but this would introduce another source of error.  Third, a quality check
is planned for all data to be used in the study.  To include the numerous
cases which fail the 75% criterion would dilute the project resources avail-
able for the quality check.  The impact on the quality check program would
be especially significant because there appears to be a positive correlation
between incomplete data sets and apparently anomalous data sets.
     The  SAROAD  printout  of  6 March  1976  included 462 station-years of N02
data that met  the  75%  completeness criterion.   In order  to facilitate statis-
tical  computations,  the data for  these 462 station-years were punched on
computer cards.  The information  put on each card included the  site code,
       In  many cases,  the 75% completeness  criterion would have been met  in
 1975  except that some 1975  measurements  were  not yet  reported to  SAROAD.

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                                    16
monitoring method, year, number of observations, percent!le concentrations,
arithmetic mean, geometric mean, and geometric standard deviation.   Appen-
dix A presents a printout of these cards  (as  modified by the data quality
analysis discussed  later in this  chapter).
     Table 2.1 lists the number of sites, by  year, that meet the 75% com-
pleteness criteria.  It is obvious that the number of sites reporting 75%
complete data to SAROAD has increased substantially over the past twelve
years.  The increase in the number of sites with "complete" data is greatest
for the period of 1971 to 1974, with a particularly large jump occurring from
1973  to 1974.  The growth in the number of monitoring sites is especially sig-
nificant outside California; the number of non-California monitoring sites
multipled by nearly a factor of seven from 1971  to 1974.
     Table 2.1 also lists the average percentage of data for the sites  which
meet the 75% completeness criterion.   The average percentage of data re-
ported by these sites has undergone a steady increase over the years.   Thus,
not only have more sites attained the 75% criterion in the past few years,
but these sites have attained better completeness ratios.  The sites in
California tend to show higher completeness ratios than sites outside Calif-
ornia.  This is one indication of the higher quality of the California data
base.
     Table 2.2 lists the number of sites by year and by monitoring method.
There are four monitoring methods:  colorimetric-Lyshkow (mod.), chemilumin-
escence, colorimetric-Griess-Saltzman, and coulometric.  Although none of
these methods has yet been approved by EPA as a reference method, none of

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        Table  2.1   Sites Reporting at Least 75%  Complete Data  for Hourly N02 Measurements
                      NATIONWIDE SITES
           Total Number of
Year     Sites with "Complete"
              (75%) Data
1962             4*
1963            18
1964            18
1965            19
1966            22
1967            32
1968            26
1969            29
1970            29
1971            33
1972            52
1973            58
1974            112
  Total  Number   452
  Station-Years
Average Percentage
Data for these
    Sites
                       CALIFORNIA SITES
 Number      Average
of Sites Percentage Data
NON-CALIFORNIA SITES
 Number       Average
of Sites Percentage Data
80. 4X
81.0
81.4
83.7
84.5
85.1
86.5
87.6
87.7
87.7
88.7
88.8
88.3

0
13
14
13
17
23
20
23
21
25
39
37
57
302
	
81. 2%
81.2
83.3
84.9
85.2
87.2
88.2
88.5
88.0
89.1
90.0
90.6

4
5
4
6
5
9
6
6
8
8
13
31
55
160
80.42
80.5
82.0
84.4
83.1
84.8
84.0
85.4
85.7
87.1
87.2
87.4
85.8

There are several monitoring sites 1n California which meet the 75% completeness
criteria for 1962 and prior years.  However, California has reported data to SAROAD
only for years starting 1n 1963.

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Taole 2.2   Monitoring  Methods for Sites Reporting at Least 75% Complete Data
                       NUMBER OF SITES IN OPERATION WITH  EACH MONITORING METHOD
Year

1962
1963
1964
1965
1966
1967
1968
1969
1970
1971
1972
1973
1974
Total Nuntoer
Station- Years -
1
Color1metr1c-Lyshkow(Mod. )
(SAROAD 14260211)
0
12 (12)
13 (13)
13 (13)
17 (17)
24 (23)
21 (20)
23 (23)
22 (21)
27 (25)
43 (39)
57 (37)
83 (56)
355
2
Chemi 1 unri nescence
(SAROAD #4260214)
0
0
0
0
0
0
0
0
0
0
0
2
19 (1)
21
3
Col ori metric -
Gri ess-Sal tzman
(SAROAD #4260212)
4
6(1)
5(1)
6
5
8
5
6
7
6
8
7
7
80
4
Coulometrlc
(SAROAD #4260213)
0
0
0
0
0
0
0
0
0
0
1
2
3
6
                                                                                                      00
Values 1n parentheses are for California only

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                                    19
them has yet been designated "unacceptable."  Table 2.2 reveals that the
colorlmetric-Lyshkow (mod.) method accounts for nearly all the California
measurements and over 75% of the nationwide measurements.  The colorimetric-
Griess-Saltzman method accounts for much of the remaining data; this is the
method used in the past in the EPA CAMP program.
2.2  DATA QUALITY ANALYSIS
     A cursory examination of the original SAROAD printouts indicated likely
errors in the data, especially in the maximum one-hour concentrations.   For
example, the reported frequency distribution for one station was as follows:
                                                                         Maximum
Percentile -	10%    30%    50%    70%    90%    95%    99%    one-hour
Concentration (ppm)- - .005    .02    .03    .04    .05    .07    .11    5.05 (!)

Although the anomalies in the reported data were not always as blatant as the
example above, there seemed reason to question the validity of at least 70
of the 462 station-years of data.  The maximum one-hour concentration was the
only suspicious value in nearly all of these questionable cases.  In a very
small number of cases, the percentile concentrations (10% to 99%), as well as
the maximum one-hour, appeared dubious.
     A data quality check was performed to correct and upgrade the data base.
The quality check was guided, in part, by the use of a statistical technique
which predicted maximum one-hour concentrations for each station-year based
on the arithmetic mean and 99th percentile concentrations for that station-year.
This technique, which we call  the "modified lognormal"  approach, is  described
at length in the next chapter.  Its use in the data quality check was to identify
outliers by comparing the reported one-hour maxima with the predicted maxima.

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                                    20
Figure 2.2 demonstrates how this was done.   Figure 2.2 compares the predicted
distribution of "lognormal  z  values" for yearly one-hour maxima to the histogram
of actual z values for the 462 reported one-hour maxima.  The data sets corre-
sponding to the right-hand tail of the histogram were considered questionable.
                                                     - • w
All reported maxima which yielded z values greater than 4.3 were subjected
to data verification procedures.
     The statistical technique identified 60 potential  outliers which
were submitted to data verification procedures.  Several station-years of
data, other than those flagged by the statistical technique, were also selected
for the verification process.  Some of these other data sets were the ones
identified as potential problems by staff members of EPA's Office of Air
Quality Planning and Standards[1,2].  Other data sets were chosen for verifi-
cation based on a visual scan of the data base in search of anomalies.  Since
all of the CAMP data were available to us on magnetic tape, every year of
CAMP data was subjected to verification procedures.
     The procedures for checking the data were as follows:  For each year of
CAMP data, all hourly measurements of NOg, NO, and OX were printed out for the
day of maximal one-hour NOg concentration.   The hour-by-hour pattern of NO^
concentrations was checked for internal consistency and compared with the pat-
terns of NO and OX concentrations.  So that one erroneous NOp maximum would
not be replaced with a second-highest value that was also in error, the
second, third, and fourth days of highest N02 concentration were checked by
similar procedures.  For data other than from CAMP sites, the state or local
monitoring agency was contacted, and the reported one-hour maximum was
checked against the local data logs.  The records of the monitoring agency

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.4i—-
                                                          Probability Density Function of z
                                                          Values for Yearly Max One-Hour
                                                          Concentration Based on Modified
                                                          Lognormal Approach
                                                         TtfUmtllffi-HWm
                                                         Histogram of z Values for the
                                                         Actual Maxima Based on all 462
                                                         Station-Years in the Unconnected
                                                         Data Base
                                                                 Data  Subject to Quality Check
                                                                                                                       t\s
                                              4                    5

                                     Lognormal z Value of Yearly Maximum
         Figure 2.2   Statistical  Technique  for  Identifying  Outliers in  Reported Maxima

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                                   22
did not agree with the SAROAD output in several instances, implying a trans-
cription error between the local agency and SAROAD.  If the records of the
local agency did agree with SAROAD, further checks were conducted at the
convenience of the monitoring agency.  These checks involved examining the
diurnal pattern of N02 and other pollutants on the day of the yearly maximum
one-hour concentration.  An especially intensive check of N0« data for
1974 in "up-state" New York was conducted because of anomalies pointed
out by EPA personnel[2].
     It should be emphasized that the data quality check was basically di-
rected toward eliminating large errors which appear as .outliers in frequency
distributions of the hourly data.  The techniques used to flag outliers
would miss small errors or moderate-size errors involving a constant fac-
tor  (such as a calibration factor).  Identifying the latter types of errors
would require a major data quality program and, even then, might be impos-
sible.
      Table 2.3 lists the errors discovered in the data quality check.
Forty-two station-years of data needed modifications.  Thirty of these in-
volved corrections to the reported yearly maximum one-hour concentration;
the other 12 station-years had to  be deleted from the data base.   It  is
striking that no corrections were necessary for California data, even though
California data accounted for 65% of the station-years in the data base, and
even though several California data sets were flagged for the verification
procedures.

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                                         Table 2.3 Results  of  Data  Quality  Check

  SITE (SAROAD CODE)     YEAR    MONITORING METHOD         CORRECTIVE ACTION TAKEN
                                                                                             REMARKS
Phoenix, Arizona
(030600002-G01)
1967
Colorimetric-
Lyshkow (Mod)
Delete data for this year
Conversation with Marlcopa County Health  Department  re-
vealed anamolous data for 1967  and 1968.  There  may have
been calibration and other procedural  difficulties during
these first two years of instrument operation.
                         1968
                                                      Delete data for this year.
                         1973
                                                      SAROAD reports 1.00 ppm as yearly max
                                                      one hour.  Correct value is .22 ppm.
                                                                         Transcription  error  between Maricopa County records
                                                                         and SAROAD system.
New Britain,
 Connecticut
(070680002-F01)
1973
                              SAROAD reports .22 ppm as yearly max
                              one hour.  Correct value is .104 ppm.
                                                                Transcription errors  between  Conn.  Dept.  of Environmental
                                                                Protection records  and  SAROAD system.
                         1974
                                                       SAROAD reports 1.40 ppm as yearly max
                                                       one hour.  Correct value is .090 ppm.
Washington, D.C.         1965     Colorimetric-        SAROAD reports  .42 ppm as yearly max
(090020002-A10)                   Greiss-Saltzman      one  hour. Correct value is .23 ppm.
                                                                         Examination  of hourly CAMP data reveals that the highest
                                                                         hour recorded  in  1965 is probably invalid. The value used
                                                                         here is  the  second highest recorded hour in 1965.
Washington, D.C.
(090020003-A05)
1974
Chemi 1 unti nescence
                              SAROAD  reports  .42 ppm as yearly max
                              one hour.  Correct value is .17 ppm
                                           Correction recommended by Robert Faoro of EPA-OAQPS.
Chicago,  Illinois
(141220002-A10)
1964     Colorimetric-        SAROAD reports  .47 ppm as yearly max
         Greiss-Saltzman      one hour.  Correct value is .33 ppm.
                                                                Examination of hourly CAMP  data  reveals that  the recorded
                                                                .47 ppm is obviously in  error  (possibly in a  decimal
                                                                point).  The .33 ppm value  is  the second highest re-
                                                                ported value for 1964.
                         1971
                              Delete data for this year.
                                                                Examination of hourly  CAMP data reveals long strings ef
                                                                high N02 values In  July  1971.  These'data are probably
                                                                all in error.   The  July  values affect  the 99% as well as
                                                                the yearly max and  thus  the year  is  not salvageable.
                         1973
                                                       SAROAD reports  .45 ppm as yearly max
                                                       one hour. Correct value is .36 ppm.
                                                                         Examination  of hourly CAMP data indicates that the .45ppa
                                                                         value Is dubious. The second highest hour In 1973 1s
                                                                         .36 ppm.
                                                                                                         ro
                                                                                                         co
 Kansas City,
  Kansas
 (171800001-H01)
                         1973
         Coulometric
                              Delete data  for  this station.
                                                                SAROAD values disagree with  records of the Kansas CltyAIr
                                                                Quality Division for both  the yearly max and 99th percen-
                                                                tile.  The Kansas City Air Quality Dviision is unable to
                                                                supply a correct value for the 99th percentile.
                          1974
Louisville,  Kentucky
(182380017-A05)
                         1974
         Chemiluminescence
                              SAROAD reports  .39 ppm as yearly max
                              one  hour.  Correct value is .17 ppm.
                                                                Correction recommended  by Robert Faoro of EPA-OAQPS
Minneapolis,
Minnesota
(242260022-H01)
Bellefontaine,
Missouri
(260200002-G01)
1972
1974
Coulometric
Colorimetric-
Lyshkow (Mod)
Delete data for this station.
SAROAD reports .382 ppm as yearly max
one hour. Correct value is .236 ppm.
City of Minneapolis Air Pollution Control Division does
not consider the data to be reliable. The reported year-
ly maximum followed a period of instrument failure.
Correction recommended by Robert Faoro of EPA-OAQPS.

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  SITE  (SAROAO CODE)
YEAR
   Table  2.3

MONITORING METHOD
Results  of  Data  Quality  Check  (Cont'd)

      CORRECTIVE  ACTION TAKEN
                                                                                                                     REMARKS
 St. Louis, Missouri
 (264280007-H01)
                         1973
         Colorimetric-
         Lyshkow (Mod)
                      Delete this station from the data  base.
                                             The max one hour value appears too high  compared  to the
                                             rest of the frequency distribution and to max values for
                                             other years.  The St. Louis City Division of Air  Pollu-
                                             tion Control can provide no help in determining the real
                                             max value.
St. Louis, Missouri
(264280061-H01)
1973
                                                                        The max one hour value and other aspects of the reported
                                                                        frequency distribution do not make sense for this year.
St. Louis, Missouri
(204230062-H01)
1973
St. Louis, Missouri
(264280063-H01)
1973
Rosebud, Montana
(271360028-F03)
1974
         Colorimetric-
         Lyshkow (Mod)
                                                                All reported values  for  this station are below the mini-
                                                                mum detectable (.005 ppm).  The Montana Air Quality Bu-
                                                                reau indicates that  the  ambient N02 levels are actually
                                                                that low.  The data  are  deleted since there is no infor-
                                                                mation for ascertaining  the frequency distribution of
                                                                various concentrations.
Reno, Nevada
(290480005-101)
1973
         Coulometric
                     SAROAD reports 1.11 ppm as yearly max
                     one hour.  Correct value is .182 ppm.
                                                                        Transcription  error  between Uashoe County records and
                                                                        SAROAD system.
                         1974
                                                      SAROAD reports 4.56 ppm as yearly max
                                                      one hour.  Correct, value is .335 ppm.
                                                                                                                                                               ro
PhilUpsburg,
 New Jersey
(314240002-F01)
Rochester, New York
(335760004-F01)
                         1972
         Colorimetric-
         Griess-Saltzman
                     SAROAD reports .39 ppm as yearly max
                     one hour.  Correct value is  .17 ppm.
                                            Examination of hourly values  reveals  that the reported
                                            maximum is very dubious.   It  is  replaced with the second
                                            highest value for the year.
                         1973
                                                      SAROAD reports .328 ppm as yearly max
                                                      one hour.  Correct value is  .19 ppm.
Buffalo, New York 1974 Colorlmetric-
(330660005-F01) Lyshkow (Mod)
Buffalo, New York 1974
(330660007-F01)
Kingston, New York 1974 "
(333500002F01)
Niagra Falls, 1974
New York
(334740006-F01)
SAROAD reports .38 ppm as yearly max
one hour. Correct value is .17 ppm.
SAROAD reports .59 ppm as yearly max
one hour. Correct value is .13 ppm.
Also correct 99th percent! le from
.107 ppm to .097 ppm.
SAROAD reports .25 ppm as yearly max
one hour. Correct value is .09 ppm.
SAROAD reports .31 ppm as yearly max
one hour. Correct value is .17 ppm.
Also correct 99th percent! le from
.107 ppm to .097 ppm.
Scan of hourly data reveals that the reported maximum is
very dubious. It is replaced by the second highest value
for the year.
Scan of hourly data reveals that the reported maximum and
several other high values are very dubious.
Scan of hourly data reveals that the reported maximum and
several other high values on the same day are very dubious
Scan of hourly data reveals that the reported maximum and
several other high values are very dubious.
                         1974
                                  II     It
                             SAROAD reports  .33  ppm as yearly max
                             one hour.  Correct  value is  .11 ppm.
                                                                Scan of hourly data reveals  that  the reported maximum and
                                                                two other high values  are  very dubious.

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                                  Table  2.3   Results  of Data  Quality Check  (Cont'd)
  SITE (SAROAO CODE)     YEAR   MONITORING METHOD
                                CORRECTIVE ACTION TAKEN
                                                                                         REMARKS
Schenectady, New York
(336020003-fOl)
1974     Colorimetric-        SAROAD reports  .20 ppm as yearly max
        Lyshkow (Mod)        one hour.   Correct value is .09 ppm.
                                         Scan of hourly data reveals that the  reported maximum is
                                         very dubious.   It  is replaced by the  second highest value
                                         for the year.
Syracuse,  New  York
(336620011-F01)
1974
SAROAD reports 1.70 ppm as yearly max
one hour.  Correct value is  .13 ppm.
The value of 1.70 ppm is a  transcription error between
New York State'Department of Environmental  Conservation
and the SAROAD system.  The second highest value,  .23 ppm,
was also invalidated by a scan of the hourly W>2 data.
Utica, New York
(336880004-F01)
Cincinnati, Ohio
(361220003-A10)
Lancaster City,
Pennsylvania
(394660007-F01)
Philadelphia,
Pennsylvania
(397140002-AOS)
Philadelphia,
Pennsylvania
(397140004-H01)
Providence,
Rhode Island
(410300005-F01)
Providence,
Rhode Island
(410300007-F01)
Nashville, Tennessee
(442540010-G01)
1974
1964
1974
1973
1972
1972
1973
1972
1973
1974
1974
II II II
Colorimetric-
Griess-Saltzman
Chemi 1 umi nescence
n ii it
Colorimetric-
Lyshkow (Mod)
Colorimetric-
Griess-Saltzman
II II 1
II t
II II II
t II I
Colorimetric-
Lyshkow (Mod)
SAROAD reports .24 ppm as yearly max
one hour. Correct value is .13 ppm.
SAROAD reports .34 ppm as yearly max
one hour. Correct value is .24 ppin.
SAROAD reports .272 ppm as yearly max
one hour. Correct value is .084 ppm.
SAROAD reports .65 ppm as yearly max
one hour. Correct value is .29 ppm.
SAROAD reports 5. 05 ppm as yearly max
one hour. Correct value is .25 ppm.
SAROAD reports .45 ppm as yearly max
one hour. Correct value is .26 ppm.
SAROAD reports .531 ppm as yearly max
one hour. Correct value is .175 ppm.
SAROAD reports .35 ppm as yearly max
one hour. Correct value is .16 ppm.
SAROAD reports .39 ppm as yearly max
one hour. Correct value is .13 ppm.
SAROAD reports .465 ppm as yearly max
one hour. Correct value is .205 ppm.
Delete this station from the data base.
Scan of hourly data reveals that the reported maximum and
several other high values on the same day are very dubious.
Examination of hourly CAMP data reveals that .34 ppm value
is obviously in error. The .24 ppm value is the second
highest for the year.
The reported .272 ppm value has been invalidated by the
Pennsylvania Department of Environmental Resources.
Correction recomnended by Jerry Ackland of EPA-
NERC/RTP.
Transcription error between Philadelphia Air Management
Services and SAROAD system.
Transcription error between Rhode Island Department of
Health and SAROAD system.
ii ii H i
tl Ii n it
II II ii ft
n n H n
Metropolitan Nashville/Davidson County Health Department
indicates that all data from this station have been in-
                                                                                                                                                           ro
                                                                                                                                                           01
                                                                                              validated.

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                                   26


2.3  REFERENCES
1.   R.  Faoro, "1974 NO2 Maximum Values," Memorandum to W.F. Hunt and
    J.  McGinnity, EPA Office of Air Quality Planning and Standards, RTP,
    North Carolina, 26 January 1976.

2.   D.  Iverach, EPA Office of Air Quality Planning and Standards, Personal
    communication concerning ,N@2 data*quality for stations in New York state,
    December 1977.

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                                    27
3.0  STATISTICAL DISTRIBUTIONS FOR CHARACTERIZING MAXIMAL CONCENTRATIONS

     One of the major objectives of the present study is to characterize
yearly maximum one-hour N02 concentrations.  The simplest and most direct
way of performing this characterization is to base it on the actually
measured yearly maxima for various stations and various years.  An alter-
native is to base the characterization on expected yearly maxima, with
the expected maxima determined by fitting statistical functions to the
concentration frequency distribution  for each station-year.
     The latter approach, involving calculated expected values, offers
four basic advantages.  First, calculating expected maxima facilitates
the data  quality check  since a comparison of the expected maxima to
recorded maxima helps to identify potential outliers in the recorded data.
Second, the statistical methods used  to compute the expected maxima also
provide an estimate of the variance in yearly maximum concentrations at
each location.  The variance in the yearly maximal concentrations can be
estimated from as little as one year  of data.  Using actually measured
maxima to estimate the variance in yearly maxima requires several years of
data and is subject to errors caused  by the confounding of long-term
trends with year-to-year stochastic fluctuations.
     A third advantage is that the expected maxima are calculated assuming
a full year of sampling, 8760 hours.  Unlike the expected maxima, the mea-
sured maxima depend on the number of  samples taken per year, ranging from
around 6600 to 8600 for the data base in question.  In this regard, the
statistical techniques used to determine the expected maxima offer a side
benefit: Utey provide a method for adjusting the measured maxima in order

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                                   28
to account for incomplete (less than 100%) sampling during the year.  Such
an adjustment will be made to all the measured maxima in this study.
      A final advantage is that expected maxima, determined from the en-
tire concentration frequency distribution, are statistically more "robust"
                                 i   ,.'<.
than measured yearly maxima; i.e., they are based on a larger number of
measurements.  The robust nature of the expected maxima may help in the
identification of geographic and temporal patterns in N02 concentrations.
Geographic and temporal patterns are often difficult to discern in measured
yearly N02 maxima because of the large random variance (standard deviation
typically +_ 20%) associated with these once-per-year events.   Statistical
parameters of N02 air quality that are associated with a large number of
measurements, e.g., annual mean concentrations,  show less variance from
year to year, typically £ 11%.
     The potential advantages of using calculated expected values to
characterize yearly maximal  N02 concentrations justify an attempt to
formulate a statistical method of determining expected maxima.   This
chapter describes the effort made in the present study to develop methods
of predicting expected maxima.   Section 3.1 deals with a method based
on the lognormal distribution,  while Section 3.2 describes a method
based on the Gamma distribution.  Section 3.3 discusses the usefulness of
these statistical methods for the purposes of this study.  It is concluded
that the statistical approach involving expected maxima is very useful for
analyzing data quality, estimating the random  variance in yearly maxima,

-------
                                     29
and adjusting measured maxima according to yearly sample size.  However,
the simple approach involving measured maxima  (adjusted to a common yearly
sample size) is preferred for analyzing geographic and temporal patterns
in maximal N02 concentrations.
                                       «
 3.1   A METHOD BASED ON THE  LOGNORMAL  DISTRIBUTION

      The mathematical  function most often used to  analyze  air pollutant
 frequency distributions is the lognormal  distribution function popularized
 by Larsen and his co-workers [1,2,3,4,5,6].   Both  theoretical  consider-
 ations and empirical  evidence indicate that the assumption of lognormality
 is a good approximation for air pollutant concentrations  in many  situ-
 ations [7,8,9,10,11,12].  When properly used, the  lognormal  distribution
 can be a valuable tool in studying air quality data.   However, important
 questions have been raised concerning the Larsen techniques and the  assump-
 tion of lognormality [13,14,15,16].  A degree of caution  should be observed
 whenever the lognormal distribution is used to analyze air quality data,  es-
 pecially in the case of a reactive pollutant such  as  nitrogen dioxide  [11].
 3.1.1  The Lognormal  Distribution Function
      The assumption that a pollutant concentration variable, C, follows
 a lognormal  distribution means that the natural logarithm  of the  concentra-
 tion, £nC, follows a normal distribution.  If the  probability density  function
 for a normal distribution (with mean,  y,  and standard deviation,  a)  is  de-
 noted by f(y),

-------
                                   30
                                                                       (D
then the probability density function for a lognormal distribution is
                                           £nC
                - £nm ^2
         2" '
                f (C)dC = f (£nC)d£nC =	dC  ,         (2)
where \i =tnm   = In (geometric mean)
and   as-615   = £n (geometric standard deviation).
The cumulative frequency for the normal distribution is
= I  f(x)dx  ,
 -00
                           F(y)  -  /  f(x)dx   ,                          (3)
and for the lognormal distribution,
                                     A
                              F(C)  = J f(x)dx
                                    0
   •/
                                         f(x)dx = F(JlnC)  .             (4)
     Above, the notation for the  lognormal distribution is kept closely
tied to the notation for the normal  distribution because useful mathe-
matical tables are readily available for the latter.  In particular, if
we introduce the change of variable

-------
                                    31
then the distribution functions depend only on the variable z and not on the
parameters wig and sg.   Tabled cumulative frequencies for the normal dis-
tribution (or in this case, the lognormal distribution) are commonly available
in terms of the parameter z.                                            '
3.1.2  Maximal Values from Sampling Lognormal Distributions
     In this study, we are interested in using the lognormal distribution func-
tion to predict expected yearly maximal one- hour concentrations of N02.  Assuming
that we know m and s  for the concentration frequency distribution, and
              9      g
assuming that a yearly sample consists of N = 8760 independent measurements,
then the distribution of the yearly maxima can be readily calculated (see
Appendix B).  For large N, the cumulative frequency distribution for the
yearly maxima,  c  * is  (approximately)
                          -NCI - F(C )]    -N[l - F(£n C )]
                 H(y = e          m   - e             m    ,          (6)

where  F  is  the  cumulative  distribution function for the normal distribution.
The median  value  for the yearly maximum  is  found by setting M(Cm) equal to
TF; i.e.,  the median  of the yearly  maxima for given m  and s  is obtained by
simply solving
                    _,.  r x    ,          ,    0.693                       ...
                    F(£nCm)  = 1  -nr=  1  -  -fp-     ,                  (7)

 using  values  for F found in common  mathematical  tables.   The z value
 which  is  the  solution to Equation  (7) for N =  8760  is z = 3.78.  That is,

-------
                                   32
for samples of size 8760 drawn independently from a lognormal  distribution,
the median of the maxima  of those samples would be determined from
                         3.78 =

The expected value of the maximum for a sample of size 8760 corresponds to
                                                  *
a z value of 3.82.  Thus, for the expected maximum
3.1.3  Adjusting Measured  Maxima for Incomplete Sampling
     As an aside, we note that the above results are useful  for a special
task—adjusting measured maxima to account for incomplete sampling.   Since
the sample sizes in our data base can range from 6570 to 8760 hours  per
station-year, the recorded maxima are always less than or equal to the
actually occurring maxima during all  8760 hours.  The lower  the number of
sampling hours,  the more likely it is that the recorded maximum is less
than the actual  maximum.  The recorded maxima should be adjusted upward
to account for incomplete sampling.  To make this adjustment,  Equation (7)
can be solved for the median z value, call it z1 , for the distribution of
maxima  corresponding to the actual sample size, N1.  The recorded maximum
can then be adjusted upward by a factor of
      The expected maximum is computed by integrating the function  C
                                                                       d M(CJ
                                                                            nr
                                                                     m d cm
Note that  Larsen's approximate formula for the expected maximum is       m
r        3.81
Cm = mg sg   •

-------
                                   33
                                     3.78 - z1
                              .
                         ragsg
= s.
(10)
Table 3.1 provides estimates of z1 for various sample sizes.
          Table 3.1  Median z Values for the Maximum As a
                      Function of Sample Size








All
Sample Size, N1
8760
8000
7000
6000
5000
4000
3000
Median z1 Value
3.78
3.76
3.72
3.68
3.64
3.58
3.50
yearly maximal values reported in this and subsequent
have been adjusted according to Equation (10). The adjustment








chapters
factors
were not  of  great  consequence;  they ranged from around 1.005 to 1.07 for
the various  station-years.  The results of this study should be insensi-
tive to the  specific assumptions  (e.g., lognormality) which were made in
deriving  the correction factors for incomplete sampling.
3.1.4  Test  of Theory  for Predicting  Expected Maxima
     Equations (6)  through  (9)  provide a means for predicting expected yearly
maximal N02  concentrations  based on the entire frequency distribution of

-------
                                   34
concentrations.  Before this method is accepted as valid, it should be
verified by comparing the predicted maxima with the actual maxima.  Equation
(6), which forms the foundation for the method, can be tested simultaneously
against all 450 station-years in the data base.  This is accomplished by
using the z parameter which puts the lognormal distribution in a universal
mathematical form, independent of m  and s .  Equation (6) will predict the
                                   y      y
theoretical distribution of the z values for the maxima.   This theoretical
distribution can be verified by comparison with the distribution of z values
for  the actual maxima.
     The z values for the actual maxima are calculated according to Equation
(5),using the  (adjusted) recorded maxima, geometric mean, and geometric
standard deviation specific to each individual station-year.   In testing
the  methodology, we start by using the geometric mean (m ) and geometric
standard deviation (s ) for each station-year as listed on the SAROAD output.
These listed values for m  and s  are the geometric mean and geometric standard
deviation calculated from all the measured concentrations each year.
     Figure 3.1 compares the theoretical distribution of z values for the
maxima (assuming 8760 independent samples per year) with the histogram of
z values for the actual maxima.  The disagreement is obvious.  The histogram
for  the actual maxima is slightly more spread out than the theoretical
distribution, and the median of the histogram (z = 2.99) is substantially
lower than the median of the theoretical distribution (z = 3.78).  The
predicted maxima based on the lognormal theory would tend to be greater
than actually occurring maxima.  For typical geometric standard deviations,
ranging from 1.5 to 2.5, the lognormal theory would tend to overpredict
the maximum by 30% to 100%.

-------
-Q
O

Q.
    1.2-
    1.0-
      .8-
.6.
      .4 -
      .2 -
                 Jl
              I
                                                                Theoretical Probability Density
                                                                Function of z Values  for Yearly
                                                                Maximal One-Hour Concentration
                                                                Assuming Independent  Sampling,
                                                                Sample Size of 8760,  and Lognormal
                                                                Concentration Distribution.
                                                                Histogram of 2 Values for the
                                                                Actual  Maxima Based on all 450
                                                                Station-Years and on MQ and s_
                                                                as Given in SAROAD.        *
         2.0
                      3.0               4.0                5.0

                         z Value of  Yearly Maximal  Concentration
6.0
                                                                                                                        co
                                                                                                                        CJ1
>7.0
   Figure 3.1  Comparison of Theoretical  Distribution of Maximal  z Values with Actual  Data
                                       (m  and  s   as Given in  SAROAD)
                                         y       9

-------
                                   36
     Much of the disagreement in Figure 3.1 may be due to the assumption
that the entire concentration frequency distribution is lognormal.  Hourly
N02 concentrations often follow an "s-shaped" curve when plotted on log-
probability paper rather than a straight (lognormal) line.  Figure 3.2
presents examples of this type of deviation from lognormality.  Because
of the "s-shape" phenomenon, a lognormal distribution fit to the entire
range of yearly concentrations will tend to overpredict the maxima.  This
error can be partially corrected for by using a lognormal distribution that
is fit only to the upper end of the concentration frequency distribution.
For instance, a lognormal distribution can be defined by the geometric mean
and 99th percentile concentration, the geometric mean and 95th percentile,
the geometric mean and 90th percentile, the 90th percentile and 99th per-
centile, the arithmetic mean and 99th percentile, etc.   Several of these
alternate methods of fitting a lognormal distribution were tried; all  of
the methods yielded about the same level of improvement over the log-
normal distribution that was fit to the entire range of concentrations.
The method based on the arithmetic mean and 99th percentile was chosen
for further study.
     Figure 3.3 compares the theoretical distribution of z values for the
maxima to the histogram of z values for the actual maxima, with the histo-
gram now based on a geometric mean and a geometric standard deviation cal-
culated from the arithmetic mean and 99th percentile.   The two distributions
     *
      The lognormal distribution specified by the arithmetic mean (m) and
99th percentile (€99) has the following geometric mean and geometric standard
deviation:
                               m* = m exp[- \  In2 s*]
                                                (/	      c
                                        2.33 - A.332 - 2 £n-~

-------
                                      37
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-------
1.4
1.2
1.0
 .8
 .6
 .4
 .2
   2.0
                                                                       Theoretical  Probability Density Function
                                                                       of Z Values  for Yearly Maximal One-Hour
                                                                       Concentration Assuming Independent
                                                                       Sampling, Sample Size of 8760, and
                                                                       Lognormal Concentration Distribution.
                                                                                                                      co
                                                                                                                      CO
                                                                        Histogram of z Values for the Actual
                                                                        Maxima Based on all 450 Station.Years
                                                                        and on n| and s| Computed from the
                                                                        Arithmetic Mean and 99th Percentile.
5.0
                           z Value of  Yearly Maximal Concentration
6.0
7.0
       Figure 3.3   Comparison  of Theoretical  Distribution  of z  Values  with  Actual  Data
                            (m* and s* Calculated  from  Mean and 99th Percentile)
                              -J        
-------
                                    39
have approximately the same width, and the median of the histogram  (3.58)
is not far from the median of the theoretical distribution  (3.78).  Since
the theoretical distribution is still centered around a higher z value than is
the histogram, predicted maxima based on  the  lognormal theory would still
tend to be greater than actually occurring maxima.  The overprediction of
the maxima would typically be about 10% to 20%.
3.1.5.  A Modified Lognormal Approach
    The method for predicting expected maxima that was developed in Section
3.1.2 and tested in Section  3.1.4 is based on the assumption that each of
the 8760 hourly measurements in a year is independent, i.e., that no auto-
correlations  exist among the hourly N02 data.  This assumption is obviously
incorrect because of  the persistence of meteorology over a  span of a few
hours to a few days and because of the consistent diurnal and seasonal
patterns in NOo concentrations.  The autocorrelations in NOg concentrations
may explain why measured maxima tend to be lower than the maxima predicted
by the lognormal theory.  Because of the  autocorrelation, the number of
"independent" conditions that are being sampled are, in effect, less than
the assumed value of  8760.   This decreases the chance of attaining very
high concentrations.
    The above observation suggests a way  to improve the method of predicting
expected N02  maxima.   It might be possible to discount for  autocorrelation
in the data by reducing the  sample size used  to compute the theoretical
distribution  of yearly maxima.  To provide a  fit to the nationwide air
quality data, the "effective" sample size can be chosen so  that the median

-------
                                   40
of the theoretical distribution in Figure 3.3 matches the median of the
histogram (which is 3.58).   This value for the sample size turns out to
be 3990.
     The results of this "modified lognormal approach" are presented in
Figure 3.4.  The median of the theoretical distribution has been force fit
to the median based on the nationwide data.  It is somewhat encouraging,
however, that the shape of the histogram appears to agree fairly well with
the shape of the theoretical curve.  A Kolmogorov-Smirnov (K-S) test was run to
determine if the two distributions are significantly different.  The K-S test
rejected the hypothesis that the two distributions are the same at a signifi-
cance level of 5%; i.e., there is less than a 5% chance that the two distribu-
tions are identical.  Since the sample size is large (450), it is not obvious
if a statistically significant difference between the distributions is really
of practical importance; i.e., the difference between the distributions may be
very small but still statistically significant.
 3.1.6  Predicting Expected Maxima
     The modified lognormal approach described in the previous section can
 be used to predict expected maxima for any station*year as follows:
     Input Data:
         1.  Arithmetic mean NOp concentration, m
         2.   99th percentile NO,, concentration, Cgg.
     Calculations:
         1.  Compute m* and s* corresponding to m and Cgg (see footnote
            on  page  36  for formulas).

-------
.Q
10
-Q
O

Q.
                                                                             Theoretical Probability Density Function
                                                                             for the Modified Lognormal Approach
                                                                             (Assumed Sample Size Reduced to 3990
                                                                             to Match Median with Histogram)
                                                                                Histogran of z Values for the Actual
                                                                                Maxima Based on all 450 StatiorvYears
                                                                                and on m* and si Computed from the
                                                                                Arithmetic Mean and 99th PercentHe.
                                                   4.0                  5.0

                                       z Value of Yearly Maximal  Concentration

                 Figure 3.4   Comparison  of Theoretical Distribution of z Values  with  Actual  Data
                                                (Modified Lognormal  Approach)

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                                42
      2.   Calculate  the  expected value of  the maximum  according  to

          Alternately,  the  median  of  the maximum can be  used.  The
          median is  slightly  lower than the expected value.  For the
          median,
                              C  = m* s*3'58.       (12)
                               m    g  g
                               )
    The expected maxima calculated by this approach may be useful for
 certain applications, such as providing estimates of the yearly maximum
 when  very little data (less than 3000 measurements) exist.  However, for
 the purposes of  the present study, using expected maxima does  not seem
 worthwhile for at least two reasons.  First,  we are interested in describing
 spatial and temporal patterns in maximal  N02 concentrations, including
 special locations with unusual distributions.   The predicted-maxima approach
would involve the assumption that N02 concentrations at all  locations follow
 the same type of distribution.  Forcing all locations  into the mold of a
 single type of distribution would distort  some  of the  special  and interesting
 situations.   The importance of this problem is  evidenced by testing the log-
 normal approach for individual locations.   Kolmogorov-Smirnov  tests indicate
 that  13  of the 149 individual locations  have  distributions of maximal z
 values which are different from the modified  lognormal distribution at a
1% significance level.  Thirty-one of the  149  locations deviate from the
modified lognormal  distribution of maxima  at  a 5% significance level.  Thus,
for a large percentage of the locations,  adopting the  modified lognormal
distribution would be a significant distortion.  These "special" locations

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                                   43
 occur throughout the country and are characterized by either unusually high
 or unusually low maximal z values.
     The second  reason  for  not  using expected maxima  in  this study is even
more fundamental.  The  one  basic advantage  that expected maxima might have
over actually measured  maxima is less  variance.  The  expected maximum is
based  on two statistics (the annual mean  and 99th  percentile) that are
more  robust  than the measured yearly maximum.  Thus,  the expected maximum
should fluctuate less from  year to year than the measured maximum.  This
decreased  variance should make  it  easier  to discern geographic and tem-
poral  patterns  in yearly N02 maxima.   In  reality,  this advantage is incon-
sequential.  For a given location, the standard deviation of the expected
maximum is typically +_  18%  from year to year.  This is almost as large as
the standard deviation  of the measured maximum (+_  20%).  The reason for
the large  variance in the expected maximum  appears to be a compounding of
the variance in  the  annual  mean (+_ 11%) with the variance in the 99th per-
centile (+_ 13%).   In any case,  using expected maxima  does not achieve the
anticipated  decrease in random, year-to-year variance.
3.2  A METHOD BASED  ON  THE  GAMMA DISTRIBUTION
    The basic problem in  using  the  (unmodified) lognormal distribution to cal-
culate expected  maximal concentrations for  nitrogen dioxide is overprediction.
The lognormal distribution  appears to  have  a "heavier tail" than actual
frequency  distributions  of  NOp  concentrations.  Other mathematical functions,
with lighter tails, might provide  better  predictions  of  maximal N02 concen-
trations.   Light-tail mathematical functions that have been recommended in
the literature are the  Gamma distribution,  the Weibull distribution,and
the exponential  distribution.

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                                   44
    The resources  allocated  to this  study do  not permit a thorough investi-
gation of several  alternative mathematical  distributions as  applied to N02
data.  However, it is worthwhile to  test at least one "light-tailed" distri-
bution.  The Gamma distribution was  selected  for this test.
 3.2.1.  The Gamma Distribution
     The probability density function for a pollutant concentration variable
 following a Gamma distribution is

                       ra-l   -C/S
              9 (C) =  '    *      .          (13)
                       r(a)  ea
      where   a > 0,
              6>0,
      and     r(a) = Gamma function  of a.

     The cumulative frequency of the Gamma distribution,
                        C
             G  (C) = J   g(x) dx,           (14)
                     0
 is  listed in mathematical tables.  Unlike the normal distribution, which
 can be put in a universal form by a change of variable to the z parameter,
 no  change of variable exists which makes the Gamma distribution independent
 of  both a and 3.  A partial normalization is accomplished with

                          t  =   C/0.           (15)
 Tables for the cumulative frequency distribution are  typically found  in  terms
 of  the variable  t.  However,  a separate table  is required  for each value of a.
      For the purpose of predicting  expected yearly maxima,  the best results
 for the lognormal distributions were  obtained  when  the distribution was  fit
 to  the "upper end" of the actual concentration data.   Specifically,  the

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                                  45
lognormal distribution was fit to the arithmetic mean  (m) and the 99th per-
centile (Cgg).  To be consistent, the Gamma distributions will also be fit
to the arithmetic mean and 99th  percentile.  This can  be done by choosing a
according to  the following table:
        Cgg/m       a                     cgg/m        a
         2.25         5.5                    3.02         2.5
         2.32         5.0                    3.32         2.0
         2.41         4.5                    3.78         1.5
         2.51         4.0                    4.61         1.0
         2.64         3.5                    6.64         0.5
         2.82         3.0                     oo         o
 and  by  choosing  B as
                         3 = m/a     .                  (16)
 3.2.2   Maximal  Values  from  Sampling Gamma Distributions
        Assuming  that  a yearly  sample  consists of N = 8760 independent
 measurements,  then  the distribution of yearly maxima can be readily
 calculated  (see Appendix  B).  For  large N, the cumulative frequency
 distribution for  the yearly maximum, Cm, is
where  G  is  the  cumulative  distribution  function for the Gamma distribution.
This distribution  can  be shown  to  be approximately (see Appendix B)
                     M(Cm)  -  e"e S                      (18)
                        C
where                s  * -~-  - A,                       (19)
                         P
and A is the solution to
                         a-l  -A
                                    N •
                     1    Aa-l  -A _   1                 /9n\
                         A    e   -     •               {20)

-------
                                  46
Using Equation (18), the median value of the maximum can be shown to be

                    C  =3 [A- £n(£n2)].             (21)
The expected value of the maximum is
                    Cm = 6 (Y + A),                  (22)
where y = Euler's Constant = 0.5772
3.2.3  Test of Theory for Predicting Expected Maxima
     Equations (18) through (22)  provide a means of predicting expected
yearly maximum concentrations by  using a Gamma distribution.  Equation (18),
which is the basis for the method, can be tested simultaneously against
all 450 station-years in the data base.  Equation (18)  predicts the theo-
retical distribution of the "s parameter."  This theoretical distribution
can be compared with the distribution of actual "s parameters" for all
station-years in the data base.  The actual s values are calculated ac-
cording to Equations (19) and (20), using the actual C  , N = 8760, and
a and g determined from the arithmetic mean and 99th percent! le for each
station-year.
     Figure 3.5 presents the results of testing the Gamma distribution
against the actual data.  The agreement is very poor compared with the
equivalent test for a lognormal distribution (Figure 3.3).  The median of
the theoretical distribution of s values is well below the median of the
histogram of actual s values, implying that the Gamma distribution would
underpredict  yearly maximum concentrations.  Also, the theoretical distri-
bution has much less spread than the histogram.  This means that the Gamma

-------
    .4 -
    .3
$  .2
o
a.
Probability density function of s values for
yearly one-hour maximum assuming independent
sampling,  sample size of 8760, and gamma
concentration distribution.
    .1 -
       Histogram of s values for the  actual maxima
       based  on all 450 station-years and on a and
       6 computed from the arithmetic mean and 99th
         percentile.
                                               s Parameter for the  Yearly Maximum
          Figure  3.5  Comparison of the  Theoretical  Distribution of s Values with  Actual
                                               (Gamma Distribution Approach)
                                   Data

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                                   48
 distribution also underestimates the variance in the yearly maxima.  These
 observations indicate that the Gamma distribution is too "light-tailed" com-
 pared with actual frequency distributions of N02 concentrations.
         Section 3.1 revealed that  the lognormal  distribution  (with  a  tail
«/  C"1  e"£n2C)  was slightly "heavy-tailed" compared with actual  N02 frequency
 distributions.  The present section  shows that the Gamma distribution (with
 a  tail'vC01'1 e"C) is very  "light-tailed" compared with actual N02  concentrations.
 Perhaps  other distributions, such  as certain forms of the Weibull distribu-
 tion,  may  provide a compromise between the lognormal and Gamma and  may result
 in a  better  fit to the actual data.  However, further investigation of math-
 ematical distributions is not in line with the main purposes of this  study.
 Only  limited use will be made of mathematical distributions in this report.
 For the  purposes of this study, the lognormal distribution appears  sufficient.
 3.3   SUMMARY:  USES OF MATHEMATICAL DISTRIBUTION FUNCTIONS

      The introduction to this chapter identified four potential uses  for
 mathematical distributions in analyzing maximal N02 concentrations:
      1.  To  identify outliers for  the data quality check;
      2.  To  estimate the random variance in yearly maxima;
      3.  To  adjust yearly maxima for incomplete  sampling; arid
     4.  To  characterize patterns  in yearly maxima, using
         expected (predicted) maxima.
 Based  on our investigation of mathematical distributions, we conclude that
 the first  three uses are appropriate in this study but the fourth use is not.
A summary of our results and conclusions concerning each use follows.

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                                   49
Data Quality Analysis
     The "modified lognormal approach" for predicting expected maxima served
as a useful method to identify potential outliers among the recorded maxima
(see Chapter 2).  Station-years for which the actual maximum deviated a large
amount from the expected maximum were subjected to a data verification pro-
cess.  The statistical method of identifying outliers was part of a more
comprehensive procedure for noting anomalous data that included a visual
scan of all the frequency distributions and a detailed examination of hourly
CAMP data.
Variance in Yearly Maxima
     The modified lognormal approach can provide an estimate of the random
variance in yearly one-hour maxima.  Using the theoretical distribution func-
tion in Figure 3.4, the cumulative frequency range from 16% to 84% is assumed
to represent +_  1  standard deviation.  The z values for the cumulative 16th
and 94th percentiles are 3.32 and 3.91, respectively.  Thus, the standard
deviation away from the expected maximum (z = 3.62) is
                             , ,? + 0.29
                   Cm = m* s*3'62 - 0.30      .       (23)

     The percentage variance in the expected maximum depends on the geo-
metric standard deviation.  Table 3.2 presents results based on Equation (23)
for values of s* from 1.3 to 2.3 (nearly all station-years of data have
               «/
values of s* in the range 1.5 to 2.0).

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                                   50
                    Table 3.2  Variance in Yearly One-Hour NO  Maxima
                 *£                   Standard Deviation of  Yearly Maxima
                 1.3                            +8%
                                                - 8%
                 1.5                            +12%
                                                - 11%
                 1.7                            + 17%
                                                - 11%
                 1.9                            + 20%
                                                - 18%
                 2.1                            + 24%
                                                - 20%
                 2.3                            + 27%
                                                - 22%
      Since  the average s* for all stations is 1.8, Table 3.2 indicates that the
 typical  variance should be +_ 17 or 18%.   It is encouraging that this re-
 sult agrees with  the  actual variance in yearly  maxima.  The actual  stan-
 dard deviation  of maxima  for individual stations  (determined for the years
 1970 to 1974) averages around +_ 20%.
 Adjustment  for  Incomplete Sampling
      The sample sizes in  our data base, ranging from around 6600 to 8600 hours
 per year, are all  less than 100% complete  (8760 hours  per year).  Thus,  the
 recorded maxima are less  than or equal to  the actual maxima during all 8760
 hours.   As  discussed  in Section  3.1.3, the lognormal distribution can be
 used to calculate  adjustment factors which account for incomplete sampling.
 These adjustment  factors  have been applied to the maximum for each station-
year  in the data base.

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                                   51
     As applied to the present data  base, the adjustment factors for in-
complete sampling are quite small.   This is because all station-*years in
our data base are at least 75% complete.  The results of this study should
be insensitive to the specific assumptions used in deriving adjustment fac-
tors.  However, caution should be observed before applying this method to
data which are less than 75% complete.  The underlying assumptions will  be
more important for cases requiring large adjustments to the recorded max-
ima.
Patterns in Yearly Maxima
     One of the basic reasons for our investigation of mathematical distri-
butions was to calculate expected maxima for each station-year.   It was  hoped
that the expected maxima would exhibit less random variance that the actual
maxima.  Eliminating some of the variance would facilitate identifying spa-
tial and temporal patterns in NOg maxima.
     As it turned out, the benefit gained in terms of reduced variance was
insignificant.  The year-to-year fluctuations in the expected maxima (cal-
culated from the mean and 99th percentile using the modified lognormal  ap-
proach) were nearly as great as the  fluctuations in the actual maxima.   For
this reason, and because of the danger that calculating expected maxima
might distort some of the interesting special cases, it was concluded that
the best approach for characterizing N02 maxima is to use actually measured
maxima.  The measured maxima will be used in this study.

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                                    52

 3.4  REFERENCES


 1.  C. E. Zimmer and R.  I.  Larsen,  "Calculating  Air  Quality and Its  Control,"
     Journal of the Air Pollution  Control  Association,  Vol.  15,  p.  565,  1965.

 2.  R. I. Larsen, C. E.  Zimmer, D.  A.  Lynn,  and  K. G.  Berne1,  "Analyzing Air
     Pollution Concentration and Dosage Data,"  Journal  of  the  Air Pollution
     Control Association,  Vol.  17, p.  85,  1967.

 3.  R. I. Larsen, "A New Mathematical  Model  of Air Pollutant  Concentration
     Averaging Time and Frequency,"  Journal of  the Air  Pollution Control
     Association, Vol. 28, p. 24,  1969.

 4.  R. I. Larsen, A Mathematical  Model for Relating  Air Quality Measure-
     ments to Air Quality Standards, Publication  AP~89. U.S.  Environmental
     Protection Agency, Research Triangle  Park, North Carolina,  1971.

 5.  R. I. Larsen, "An Air Quality Data Analysis  System for  Interrelating
     Effects, Standards,  and Needed  Source Reductions," Journal  of  the
     Air Pollution Control Association, Vol.  23,  p. 933, 1973.

 6.  R. I. Larsen, "An Air Quality Data Analysis  System for  Interrelating
     Effects, Standards,  and Needed  Source Reductions - Part  2," Journal  of
     the Air Pollution Control  Association, Vol.  24,  p. 551,  1974.

 7.  F. A. Gifford, "The  Form of the Frequency  Distribution  of Air  Pollution
     Concentrations," Proceedings  of the Symposium on Statistical Aspects
     of Air Quality Data.  EPA Document 650/4-74-038.  EPA Office  of  Research
     and Development, 1974.

 8.  H. D. Kahn, "Note on the Distribution of Air Pollutants," Journal of
     the Air Pollution Control  Association, Vol.  23,  p. 973,  1973.

 9.  J. B. Knox and R. Lange, "Surface Air Pollutant  Concentration  Frequency
     Distributions:  Implications  for Urban Modeling,"  Journal of the Air
     Pollution Control Association,  Vol. 24,  p. 49, 1974.

10.  N. D. Singpurwalla,  "Extreme  Values from a Lognormal  Law  with  Applica-
     tions to Air Pollution  Problems,"  Technometrics. Vol. 14, p. 703, 1972.

11.  H. E. Neustadter, S.  M.  Sidik,  and J. C. Burr, Jr., "Statistical
     Summary and Trend Evaluation  of Air Quality  Data for  Cleveland, Ohio
     in 1967 to 1971:  Total  Suspended Particulate, Nitrogen  Dioxide, and
     Sulfur Dioxide," NASA TN D-6935,  Lewis Research  Center,  Cleveland,  1973.

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                                    53


12.  D. B. Turner, "A1r Quality Frequency Distributions from Dispersion
     Models Compared with Measurements," Proceedings of the Symposium
     on Statistical Aspects of Air Quality Data, EPA Document 650/4-74-038,
     EPA Office of Research and Development, 1974.

13.  N. R. Patel, "Comment on a New Mathematical Model of Air Pollution
     Concentration," Journal of the Air Pollution Control Association,
     Vol. 23, p. 291, 1973.

14.  R. E. Barlow, "Averaging Time and Maxima for Air Pollution Concentration,"
     NTIS #AD-729413, 1971.                                               !

15.  T. C. Curran and N. H. Frank, "Assessing the Validity of the Lognormal
     Model when Predicting Maximum Air Pollution Concentrations," 68th
     Meeting of the Afr Pollution Control Association, Boston, 1975.

16.  D. T. Mage and W. R. Ott, "An Improved Statistical Model for Analyzing
     Air  Pollution Concentration Data," 68th Meeting of the Air Pollution
     Control Association, Boston, 1975.

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                                    54
         4.0  CHARACTERIZATION OF PRESENT N02 AIR QUALITY LEVELS

     This chapter summarizes present nitrogen dioxide air quality
 in  the United States.  The results are based on data for the years 1972,
 1973, and 1974.  The discussion includes three indices of N02 air quality—
 the annual arithmetic mean, the 90th percent!le of hourly concentrations,
 and the yearly one-hour maximum.  Geographical patterns in these indices
 are illustrated nationwide; intraregional patterns are examined within
 the Los Angeles area and the New York-New Jersey-New England area.  This
 chapter also investigates the effects of local environment (urban vs, rural,
 commercial vs. industrial, etc.) on N0« concentration distributions.

 4.1  DATA BASE FOR DESCRIBING PRESENT N02 AIR  QUALITY
     From the overall data base of 450 station-years,  data  for  the years
 1972, 1973, and 1974 are chosen for the purpose of describing present air
 quality levels.  Each station with at least one year of complete data from
 1972 to 1974 serves as a measurement point for present N02  air  quality.   For
 those stations with two or three years of data from 1972 to 1974, air
 quality indices are averaged over the two or three years.   There are  two
 advantages in using data from three years rather than from  a single year.
 First, including more years increases the number of locations  in the  analysis,
 Second, averaging over two or three years, where possible,  provides more
 robust estimates of the air quality indices.
     Table 4.1  lists  the 123 stations which have at least one year of
complete data from 1972 to 1974.   The arithmetic mean, 90th percentile,

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                                           55
   TaMe  4:1   Stations
1.  Phoenix, Arizona
    (002A01)

2.  Anaheim, California
    (001101

3.  Azusa,  California
    (002101)

4.  Bakersfleld, California
    (003F01)

5.  Barstow, California
    {001101)

6.  Burbank, California
    (002101)

7.  Camarlllo,  California
    (001101)

8.  CMco,  California
    (001F01)

9.  Chlno,  California
     (001101)

10.  Concord,  California
     (001101)

11.  Costa Mesa, California
     (001101)

12.  El Cajon,  California
     (001101)

13.   Eureka, California
     (002F01)

14.  Fresno, California
     (002F01)

15.   Indie,  California
     (001101)

16.  La Habra,  California
     (001101)

17.   Lancaster, California
     (001101)
Tor  Character!zing "Present KCTg Air Qua 1 ity


   18.  Lennox,.California
       (001IOf)
                               35.  Pittsburgh,  California
                                    (001101)
                                 36.  Pomona, California
                                      (001101)
19.  Livermore,  California
     (002101)

20.  Long Beach, California     37-   R^"f?  California
     (002101)                       (002F01)

21.  Los Alamltos,  California   38-   **£?"??• California
     (001101)                       (001101)

22.  Los Angeles (Downtown), CA39-   Redwood City, California
     (001101)                       (001101)

23.  Los Angeles (Westwood), CA 40.   Richmond, California
     (002101)               .        (003101)

24.  Los Angeles (Reseda), CA   41.   Riverside. California
       (001101)

  25.  Lynwood, California
       (001101)

  26.  Modesto, California
       (001101)

  27.  Monterey, California
       (001101)

  28.  Napa, California
       (003101)

  29.  Newhall, California
       (001101)

  30.  Norco, California
       (001101)

  31.  Oakland, California
       (003G01)

  32.  Ojal, California
       (001101)
                                    (003F01)

                               42.   Rubidoux, California
                                    (001101)

                               43.   Sacramento, California
                                    (003F01)

                               44.   Salinas, California
                                    (001 roi)

                               45.   San  Bernadino, California
                                    (001101)

                               46.   San  Diego, California
                                    (004101)

                               47.   San  Francisco, California
                                    (003101)

                               48.   San  Jose, California
                                    (004A05)

                               49.   San  Luis Obispo, California
                                    (001F01)
  33.  Palm Springs,  California   »•  San Rafael,  California
       (001101)                        (001101)
  34.  Pasadena,  California
       (004101)
                              51.  Santa Barbara, California
                                   (002F01)

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                                              56
Table  4.1   Stations  for  CharacteH zi nn^esent~^~Ai r Quality  (Continued)
 52.  Santa Barbara, California 69.  Chicago,  Illinois
     (004F01)                       (023A05)

 53.  Santa Cruz, California    70.  Ashland,  Kentucky
     (001101)                       (008F01)

 54.  Santa Rosa, California    71.  Louisville,  Kentucky
      (002101)

 55.   Stockton, California
      (002F01)

"56.   Sunnyvale, California
      (001101)

 57.   Upland, California
      (003101)

 58.   Upland, California
      (004F01)

 59.   Vallejo,  California
      (003101)
      (011601)

 72.   Louisville, Kentucky
      (017A05)

 73.   Newport, Kentucky
      (001F01)

 74.   Ohio, Kentucky
      (006N02)

 75.   Owensboro, Kentucky
      (008F01)

 76.   Baltimore, Maryland
      (018F01)
 86.  St. Louis, Missouri
      (002A10)

 87.  St. Louis, Missouri
      (006G01)

 88.  Las Vegas, Nevada
      (009G01)

 89.  Reno, Nevada
      (005101)

 90.  Bayonne, New Jersey
      (003F01)

 91.  Camden,  New Jersey
      (003F01)

 92.  Elizabeth, New Jersey
      (004F01)

 93.  Newark,  New Jersey
      (002F01)
 60.   Victorvllle, California   77.  Silver Spring,  Maryland    94.  Phil!ipsburg,  New  Jersey
      (001101)                       (006F01)                        (002F01)
 61.   Vlsalia,  California
      (001F01)

 62.   Whlttier,  California
      (001101)
78.  Sprlngield, Massachusetts  95.  Buffalo, New York
     (005A05)                       (005F01)
79.  Detroit, Michigan
     (020A05)
 63.   Yuba City, California     80.   Lansing. Michigan
      (001F01)                       (002F01)
 64.   Denver,  Colorado
      (002A05)
81.  Saglnaw, Michigan
     (002F01)
 65.   New Britain, Connecticut  82.   Afton, Missouri
      (002F01)                       (001601)
 96.  Buffalo, New York
      (007F01)

 97.  Glens Falls, New York
      (003F01)

 98.'  Hempstead,  New York
      (005F01)

 99.  Kingston, New York
      (002F01)
 66.   Washington,  D.C.
      (003A05)

 67.   Atlanta,  Georgia
      (001A05)

 68.   Chicago,  Illinois
      (002A05)
83.  Belle Fontaine Neighbors, 100.  Mamaroneck, New York
     Missouri (002601)              (002F01)
84.  Clayton, Missouri
     (001601)

85.  St. Ann, Missouri
     (001801)
101.  New York City, New York
      (006A05)

102.  New York City, New York
      (OSOF01)

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                                          57
Table 4.1   Stations for Characterizing Present N    Air Quaffty  (Continued)
       103.  New York City,  New York
             (061A05)

       104.  Niagara Falls,  New York
             (006F01)

       105.  Rensselaer, New York
             (001F01)

       106.  Rochester, New  York
             (004F01)

       107.  Schenectady, New York
             (003F01)

       108.  Syracuse, New York
             (005F01)

       109.  Syracuse, New York
             (011F01)

       110.  Utlca, New York
             (004F01)

       111.  Akron, Ohio
             (013H01)

       112.  Cincinnati, Ohio
             (019A05)

       113.  Portland, Oregon
             (002F01)

       114.  Lancaster City, Pennsylvania
             (007F01)

       115.  Philadelphia, Pennsylvania
             (002A05)

       116.  Philadephia, Pennsylvania
             (004H01)

       117.  Scranton, Pennsylvania
             (006F01)

       118.  Providence, Rhode Island
             (005F01)

       119.  Providence, Rhode Island
             (007A05)
120.  Memphis,  Tennessee
      (027N02)

121.  Stewart,  Tennessee
      (005N02)

122.  Salt Lake City, Utah
      (001A05)

123.  Alexandria, Virginia
      (009H01)

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                                    58
yearly maximum, and ratio of yearly maximum to annual mean for each of
the 123 stations can be found in Appendix C.  The information in Appendix C
will serve as the basis for characterizing present N02  air quality.
     Figure 4.1 shows the locations of the stations on a map of the United
States.  Because of the high density of sites in California,  the Los Angeles
area, and the New York-New Jersey-New England region,  separate maps are pre-
sented for those areas (see Figures 4.2 through  4.4).   The numbers  plotted on
the maps correspond to the stations numbers  listed in  Table 4.1.

4.2  DATA PATTERNS INVOLVING MONITOR EMVIROIWEffT
     The SAROAD printout classifies  the general  environment of each monitor
according to "center city,"  "suburban," and "rural."   For the urban and
suburban classes, a subcategorization can be made according to four local
environments:  commercial, industrial, residential,  and mobile station.
For the rural class, four other subcategories are possible:  commercial,
near urban, agricultural, and power plant.  Table 4.2 indicates the distri-
bution of the 123 sites among these categories.
   Table  4.2   Number of Sites  in Various  Categories  of Monitor Environment
Center City
Commercial ...
Industrial ...
Residential ...
Mobile
Total
57
6
9
2
74
Suburban
Commercial
Industrial
Residential ...
Mobile
Total
17
7
17
2
43
Rural
Commerical ' ...
Near Urban
Agricultural ...
Power Plant ...
Total
1
1
1
3
6

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Station numbers are as listed
     1n Table 4.1
For stations marked with •, see
     Figures 4.2, 4.3, and 4.4
     for station numbers
                                                                                                                cn
                Figure 4.1   Location of N02  Monitoring Sites in the U.S.  (Includes sites
                              with at least one year of complete data during 1972-1974)

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                                60
                               Station numbers are as  listed in Table 4.1.
                               For stations marked with • , see Figure 4.3
                               for station numbers.
Figure 4.2   Location of  N02 Monitoring Sites in California

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!    32
                                           29
                                                       34  '      /
                                            23     22
                                                                    57/58
                                                         62
                                                                            45
                                                          *°     ^     j   jf n

                                                          	C    9fy30 ^ 41

                                                   25    ;'  16   V /
                                                                 38
Station numbers are as listed in Table 4.1.
                                                    ^
                                                    w._
 Figure 4.3  Location of N02 Monitoring Sites in the  Los Angeles  Region

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                              Station numbers are as listed
                                      1n Table 4.1
Figure 4.4  Location of N02 Monitoring Sites 1n the
           New York-New Jersey-New  England Area

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                                     63
     It is interesting to determine  if the  different classifications of
monitor environment are associated with  different levels of N02 air
quality.  Table 4.3 lists average N02  air quality for each station clas-
sification.  The only category of stations  that stands out from the rest
is the rural/power plant class.  The three  rural/power plant stations
(Ohio Co.-Kentucky, Memphis-Tennessee, and  Stewart Co.-Tennessee) exhibit
very low annual means and 90th percentiles.  The yearly maximum for these
stations is only moderately  low, leading to an extremely high ratio of
yearly maximum to annual mean.  This type of concentration distribution,
low mean and a high maximum-to-mean  ratio,  is no surprise for these stations.
The rural/power plant sites  are subjected to near background N02 concen-
trations except for infrequent fumigation by power-plant plumes.
     The most striking feature of the  rest  of the categories is their
sameness.  No substantial differences  exist among the eight categories of
center city and suburban stations.   Even the three sites labeled as rural/
commercial, rural/near urban, and rural/agricultural are not significantly
different  from the center city and suburban sites.  Perhaps some of the
uniformity is due to unrealistic classification.  The rural/commercial site
(Rubidoux, Ca.) and the rural/agricultural  site (Norco, Ca.) are well inside
the boundaries of the Los Angeles basin.  The rural/near urban site is in
St. Louis.
     In the next section, maps will  be presented which illustrate nationwide
patterns in urban N02 air quality.   These maps will be based on data

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Table 4.3  N02 Air Quality for Various Categories of Monitor Environment





                          Average N02 Air Quality for Station of Each Type (1972-1974)
Type of Site
Center City/ Commercial
Center City/Industrial
Center City/Residential
Center City/Mobile
Suburban/Commercial
Suburban/Industrial
Suburban/Residential
Suburban/Mobile
Rural /Commercial
Rural /Near Urban
Rural /Agricultural
Rural /Power Plant
Number of
Stations
57
6
9
2
17
7
17
2
1
1
1
3
Annual
Mean
(pphm)
3.5
4.0
3.4
3.0
4.3
4.1
3.2
3.5
2.7
3.0
2.8
0.8
90th
Percent! le
(pphm)
6.2
7.0
6.4
5.2
7.8
7.6
5.8
6.5
5.0
6.0
5.0
1.3
Yearly
Maximum
(pphm)
23.6
20.3
22.2
13.8
27.8
24.5
21.2
26.2
20.3
33.6
22.4
14.4
Ratio of
Maximum
to Mean
6.7
5.1
6.5
4.6
6.5
6.0
6.6
7.5
7.5
11.2
8.0
18.0

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                                    65
from all 123 sites listed in Table 4.1, except for the 3 rural/power plant
sites.  The rural/power plant sites are atypical and will be treated separately.
The 3 rural/commercial, rural/near urban, and rural/agricultural sites will be
included among the urban locations.
4.3  NATIONWIDE GEOGRAPHIC PATTERNS IN N02 AIR QUALITY
     The existing National Ambient Air Quality Standard  (NAAQS) for nitrogen
dioxide is  100yg/m3  (approximately 5.3 pphm), annual arithmetic mean.  If a
short-term  standard  is promulgated for nitrogen dioxide, it may be a one-
hour standard, or it may be  based on  a percentile concentration such as
the 90th percentile.   This section provides  information which allows a
comparison  between present N0«  air quality levels nationwide and the NAAQS,
including the annual  mean standard and potential one-hour or 90th percentile
standards.
     A  drawback in characterizing nationwide air quality is the limited
number  of monitoring sites.   During the 1972-to-1974 period, only 120 urban
sites  (58 outside California) provided 75% complete data on hourly N02 con^
centrations.  As shown in Figure 4.1, the only areas of the country with
good  spatial coverage are  California  and the northeast sector (Illinois to
New England).  Thus,  we cannot  make definitive conclusions concerning the
status  of N02 air quality in all urban areas.  We will, however, attempt
to identify broad regions of the country with the potential for exceeding
N02 air quality standards.   A better  assessment of nationwide air quality
for nitrogen dioxide should  be  possible in the future as more stations come
on line and as  data  quality  improves  from existing  stations.

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                                     66
 4.3.1  Annual Mean N02 Concentrations
      Figure 4.5 illustrates the distribution of annual mean N02 concentrations
 for the 120 urban stations in the data base.  Most of the stations have annual
 mean N02 concentrations in the range 1 pphm to 5 pphm.  Only 18 of the stations,
 15% of the total, exceed the NAAQS for annual  mean N02 (5.3 pphm).  Five of
 the 58 sites outside of California exceed the  standard.   Within California,
 21% of the locations 03 out of 62) violate the standard; all  of the California
 violations occur in the Metropolitan Los Angeles AQCR.
30% -,
20% -
10% -











12345
	 L , • ,


6 7 8 9 10
                         Annual Mean N02 (pphm)
    Figure 4.5  Percentage of Urban Stations with Various Levels of Annual
                Mean N02 Concentrations (1972-1974)

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                                     67
     Table 4.4 lists the 18 locations which exceed the national standard
for annual mean N02.  Los Angeles and Pasadena head the list at 7.3 pphm,
nearly 50% above the standard.  Ten of the top 11 sites are in Los Angeles
County, and 13 of the 18 sites are in the Los Angeles basin.  The prepon-
derance of Los Angeles sites in the table is partly due to the intense
photochemical smog problem in Los Angeles and partly due to the large num-
ber of monitoring locations in that air basin.
     The  5 non-California sites exceeding the standard are headed by Baltimore
at 6.4 pphm.  The other 4 non-California sites are all less than 20% in excess
of the standard.
 Table 4.4  Stations Exceeding the NAAQS for Annual Mean N02 {5.3  pphm),  1972-1974
                              Mean N02                                 Mean N0?
       Station                (pphm)           Station                 (pphm)
 Los Angeles, Ca.               7.3         Los Angeles  (Reseda),Ca.    6.3
 Pasadena, Ca.                  7.3         Azusa, Ca.                  6.2
 Burbank, Ca.                   7.1         Upland,  Ca.                 6,0
 Pomona, Ca.                    6.9         Springfield, Mass,          5.9
 Los Angeles  (Westwood),Ca.     6.8         Chicago, 111.              5.7
 Long Beach,  Ca.                6.7         La Habra, Ca.              5.6
 Whittier, Ca.                  6.5         Newark,  N.J.               5.6
 Lennox, Ca.                    6.4         Lynwood, Ca,               5.5
 Baltimore, Md.                 6.4         Elizabeth, N.J.             5.3

      Figure  4.6 illustrates  the  nationwide geographic  pattern of annual
 average N02  concentrations.  To  avoid  cluttering the map, not all of the
 120  stations are plotted.  Where there are two or  more monitoring sites in
 close proximity, only the  site with the highest annual mean is included in
 the  map.   For instance,  only 1 site represents Los Angeles County, only

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All concentrations 1n pphm
                                                                                                           CO
     Figure 4.6  Annual Mean N02 Concentrations at Urban Stations in the United States (1972-1974)

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                                     69
4 sites represent the Los Angeles basin, 2 sites represent the St. Louis
area, 1 site represents New  York City, etc.
     The Los Angeles area stands out in Figure 4.6 with the highest
annual mean N02 concentration in the nation.  Several cities in the
Northeast and Chicago in the Midwest also exceed the NAAQS.  None of the
sites in the Southeast and none of the sites west of the Mississippi (except
for Los Angeles) violates the federal standard, although Atlanta is close at
4.8  pphm.  Because of the sparsity of stations in the Southeast and the
West  (except for California), we cannot be sure that the standard is
attained everywhere in those areas.  However, since some of the largest
cities in those areas (such as Portland, Salt Lake City, Denver, Phoenix,
and Atlanta) are represented, it seems unlikely that there would be signifi-
cant violations among the unmonitored cities in the West and Southeast.  The
main problem areas in the nation with respect to attainment are Los Angeles
and a few cities in the Northeast and Midwest.

4.3.2  90th Percentile N02 Concentrations
     Figure 4.7 presents a histogram of 90th percentile N02 concentrations for
the 120 stations in the data base.  Most of the sites, 73% of the total, have
90th percentiles below 8 pphm.  Only 14 sites, 12% of the total, have 90th
percentile concentrations exceeding 10 pphm.
     To point out the sites of the greatest N02 concentrations, Table 4.5
lists the 14 stations with 90th percentile concentrations that exceed 10 pphm.
Eleven stations from the Los Angeles basin (10 from Los Angeles County) head
the list.  Of the other 3 sites, 2 are in Maryland, and 1 is in Massachusetts.

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                                    70
Percentage of Urban Stations
— i ro co
o o o
&3 5-S IS
I i i















1 1
               2     4     6     8    10    12      14    16      18     20


         Figure 4.7  Percentage  of Urban Stations with Various Levels of
                     90th Percent!le Concentrations (1972-1974)
Table 4.5  Monitoring Sites with 90th Percentile  N07  Concentrations
           Greater than 10 pphm (1972-1974)         *
   Station
90th Percentile
                            (pphm)

Burbank, Ca.                   13.0
Los Angeles, Ca.               12.3
Los Angeles (Westwood), Ca.     12.3
Pasadena, Ca.                   12.0
Long Beach, Ca.                12.0
Los Angeles (Reseda), Ca.       11.7
Azusa, Ca.                     11.4
Station
                   Whittier,  Ca.
                   Lennox,  Ca.
                   Pomona,  Ca.
                   Upland,  Ca.
                   Baltimore, Md.
                   Springfield,  Mass.
                   Silver Spring,  Md.
90th Percentile
     (pphm)
                         11,
                         11,
                         11
                         11
                         11
                         11
          3
          0
          0
          0
          0
          0
                         10.0

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All  concentrations 1n pphm
  Figure 4.8   90th Percentile N02 Concentrations at Urban  Stations in the United States (1972-1974)

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                                      72
       Figure 4.8 illustrates  the nationwide geographic distribution of 90th
  percentile NOp concentrations.   Again,  to avoid cluttering, only the site with
  the highest 90th percentile  is  listed when there are two or more monitors in
  close proximity.  The pattern in Figure 4.8 is similar to the pattern for
  annual  means (Figure 4.6).   Los Angeles has the highest concentrations in the
  nation,  but the rest of the  West has relatively low concentrations.   A few
  cities  in  the  Northeast and  Midwest  (Springfield,  Baltimore,  Silver  Spring,
  New York,  Newark,  Chicago, and  Owensboro)  have notably high concentrations.
  4.3.3  Yearly  Maximal  Concentrations
       Figure 4.9 illustrates  the distribution  of yearly maximal  onei.hour
  concentrations  of  N02  among  the 120  urban  stations.   Forty-seven  of
 co
 c
 o
J3
s_
ZD
<+-
O
O)
CD
It)
-4->
c
O)
o
s_
QJ
Q_
      30%-
      205L
i — •
o
&?
                                                              1    I
10        20        30         40
  Yearly Maximum One-Hour N02 (pphm)
                                                            50
60
          Figure 4.9   Percentage  of Urban  Stations with Various Levels of
                      Yearly  Maximum N02 Concentration (1972-1974)

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                                      73
the stations have yearly maxima which exceed 25 pphm (the California one-hour
standard).  Only 4 of the stations experience yearly maxima which exceed 50 pphm.
     Table 4.6 lists the 19 stations with yearly NOp maxima exceeding 36 pphm.
Again, the Los Angeles basin dominates the list; 4 of the top 5 and 14 of the
top 19 locations are in the Los Angeles basin.  Baltimore and Silver Spring,
Maryland are also repeaters from the lists of "worst stations" for the annual
mean and 90th percentile.  Table 4.6 includes three other locations, Barstow,
CA, Ashland, KY, and Denver, CO, that did not appear in Tables 4.4 or 4.5.
Table 4.6  Monitoring Sites with High Yearly Maximal One-Hour Concentrations
           (1972-1974)
          Station

Los Angeles (Westwood), CA
Los Angeles, CA
Baltimore, MD
Whittier, CA
Pasadena, CA
Barstow, CA
Silver Spring, MD
La Habra, CA
Ashland, KY
Azusa, CA
Yearly One-Hour
Maximum  (pphm)
     55.8
     54.6
     51.9
     50.6
     47.7
     47.7
     45.1
     42.9
     41.6
     41.0
Station
Yearly One-Hour
Maximum (pphm)
Anaheim, CA
Lennox, CA
Denver, CO
Upland, CA
Long Beach, CA
Lynwood, CA
Chino, CA
Los Angeles (Reseda),
CA
Los Alamitos, CA
40.7
40.7
40.2
39.7
37.7
37.7
37.7
36.7
36.3

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                                         74
     Figure 4.10 shows the nationwide geographic distribution of yearly
maximal  N02 concentrations.  Only the station with the highest yearly
maximum is listed on the map when there are several  stations in close
proximity.  Los Angeles again stands out as having the greatest N02 con-
centrations in the country.  The Baltimore area also appears as a "hot-
spot".  Other areas with high maximal N02 concentrations include Denver,
CO, Ashland, KY, Owensboro, KY, and New York City.

   4.4   INTRAREGIONAL  PATTERNS  IN N02 CONCENTRATIONS
        There are at most four  regions in the country where the monitoring
   sites in  our data base are sufficiently dense to  describe spatial patterns
   of N02  concentrations within the region.  These regions are the Los Angeles
   basin,  the San Francisco Bay area, the St. Louis region, and the New York-
   New Jersey-New England area.  Two of these areas, Los Angeles and New York,
   are particularly interesting because they exceed the NAAQS for annual mean
   N02<  Intraregional  patterns for the Los Angeles and New York will be dis-
   cussed  below.
   4.4.1   Metropolitan  Los Angeles AQCR
        Figure  4.11 presents a map of the Metropolitan Los Angeles region.  The
   map shows the six counties that are within or partially within the region.  It
   also  notes the location of major cities in the  region.  When analyzing air
   pollution in the Los Angeles region, it is important to note that the area

-------
All  concentrations 1n pphm
                                                                                                            01
                Figure  4.10  Yearly One-Hour Maximum'Concentrations  at Urban Stations
                                    in the United States  (1972-1974)

-------
                                                             RIVERSIDE
                                             Anaheim
                                              ORANGE
Figure 4.11  Map of the Metropolitan Los Angeles AQCR

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                                     77
of highest traffic density and  greatest industrial/commercial  activity
is the central/coastal area. This  is  demonstrated in .Figure  4.12  [l],which
shows the distribution of NOX emissions within  the  region; a major portion
of regional emissions occur  in  the western/central  parts of  Los Angeles
County.  It is also  important to recognize  that the meteorology of Los Angeles
is dominated by a daytime sea breeze  during much of the year.  Typically,
there is a transport of  air  pollutants from the coast toward the  inland
areas.  Dilution occurs  along with the transport.   It is noteworthy that
mixing heights are lowest at the coast and  greatest inland.
     Figures 4.13, 4.14, and 4.15  illustrate  the spatial patterns of N02
concentrations within the Los Angeles basin.  The three figures are for annual
mean, 90th percentile, and yearly  maximum concentrations, respectively.  The
patterns in all three figures are  similar.  The greatest N02 concentrations
occur in the area of greatest NO emission density,  i.e., the coastal  and
                                ^\
central parts of Los Angeles County.   The stations  at Westwood, Downtown,
Pasadena, and Burbank show particularly high  concentrations.  The eastern/
inland stations show moderately high  concentrations, while the Ventura and
Santa Barbara stations record relatively low  concentrations.
     Figures 4.13 through 4.15  indicate that  the N02 problem in Los Angeles
is partly regional in nature.   Stations such  as Azusa, Pomona, and Upland that
are  directly downwindnaf the most  source-intensive  area experience fairly
high concentrations  even though they  are located in areas of relatively low
emission density.  Stations  which  rarely experience transport from the central
areas, such as Santa Barbara or Ventura County  stations, show the lowest
concentrations.  There is also  evidence that  the N02 problem is partly

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                                           	I
1 Dot = 12 Tons/Day NOX Emissions
                                                                                                    00
        Figure 4.12  Nitrogen Oxides Emission Density Map for the Los Angeles Region
                                     Source: Reference [1]

-------
                                      \     *I
                                           6'
                                                              6.2
                                              6.8    7.3
                                                                     6.0/4.9
                                                                6.9/
                                                          6.5
                                                     5.5       _(.  a4r  2.8   5.0
                                                            ;~5.6  xy"

                                                                     \
All  concentrations in pphm
vo
Figure 4.13  Annual  Mean N02 Concentrations  in the Los Angeles Region  (1972-1974)

-------
All concentrations In pphm
  Figure 4.14  90th Percentile N02 Concentrations  in  the Los Angeles Region  (1972-1974)

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                                           \
                             20
\      23
 \
  \
  f'  37   35
                                                                41
                                                                        /
                                                              „             .
                                                              48       i  40/30

                                                    56   55         34/
   All concentrations 1n pphm
          ,41   37    ,43

              38 *6 41
                                                               51	f38 ,' 22 20;
                                                                           X..
                                                      —	00
Figure 4.15   Yearly One-Hour Maximum N02 Concentrations  in the Los Angeles Region  (1972-1974)

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                                    82
localized in nature.   Norco and Rubidoux in Riverside County show lower
concentrations than surrounding stations, and the Lynwood site in Los
Angeles County has significantly lower NO,, levels than adjacent stations.

4.4.2  New York-New Jersey-New Engtancf Kfea
     Figure 4.16 presents a map of the New York-New Jersey-New England
area.  This area has been studied extensively by Cleveland, Kleiner,
and their associates at Bell Laboratories [2,3,4,5].   An NO  emission
                                                           A
density map, prepared by the Bell  Labs group, is shown in Figure 4.17.
The most striking feature of the emission density map is the high level  of
emissions in the northeast New Jersey and New York City areas.
     Figures 4.18, 4.19, and 4.20 present the spatial pattern of N0«  concen-
trations for the region.  The three figures represent annual mean, 90th
percentile, and yearly maximum concentrations, respectively.  On each of the
three figures, the New York City/ northern New Jersey area shows relatively
high concentrations.   This makes sense in light of the emission density map.
No other consistent patterns emerge.  Springfield, Mass, has a very high annual
mean, even though it is in a region of low emission density.  Between Spring-
field and New York (the high-concentration sites) are two exceptionally clean
stations.   The  lack of consistent patterns is partly due to the  relatively
large  scale of  the region  (~  500 km).  On  this  scale,  local  emissions  are
probably much more important  than transport  effects, at  least  for nitrogen
dioxide.  Another possible  reason for  the  lack  of patterns may be inconsis-
tencies between measurement methods and  monitor siting criteria used by the
various  state and local  agencies  in the area.

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                                              83
                       Glens  Falls
Phillipsburg
                                              '* Hartford
                                             *New  Britain
               hiladelphia
              * Camden
                 Figure  4.16  Map of the New York-New Jersey-New England Area

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                              84
                                  All  Emissions  are  1n  1000 Tons  Per  Year
Figure 4.17  NO,, Emissions in Various AQCRs  in the New York-
                     New Jersey-New England Area

                     Source:   Reference [5]

-------
                              85
                                   All concentrations in pphm
Figure 4.18  Annual Mean NOg Concentrations 1n the New York-
             New Jersey-New England Area (1972-1974)

-------
                              86
                                       All  concentrations  1n  pphm
Figure 4.19  90th  PercentHe N0« Concentrations 1n the New York-
              New  Jersey-New England Area (1972-1974)

-------
                              87
                                   All concentrations 1n pphm
Figure 4.20  Yearly One-Hour Maximum NOg Concentrations In the
               New York-New Jersey-New England Area (1972-1974)

-------
4.5  REFERENCES


1.  J. Trijonis, G.  Richard, K.  Crawford, R.  Tan,  and R.  Wada.   An Implemen-
    tation Plan for Suspended Particulate Matter in the Los Angeles Region,
    TRW Environmental  Services,  EPA Contract  No.  68-02-1384, Redondo Beach,  Ca.,
    March 1975.

2.  S.M. Bruntz, W.S.  Cleveland, I.E.  Graedel,  B.  Kleiner,  and  J.L. Warner,
    "Ozone Concentrations in New Jersey and New York:   Statistical  Association
    with Related Variables,"  Science.  Vol. 186,  p.257, 1974.

3.  W.S. Cleveland and B. Kleiner,  "Transport of Photochemical  Air Pollution
    from Camden-Philadelphia Urban  Complex,"  Environmental  Science and Tech-
    nology. Vol. 9, p. 869, 1975.

4.  W.S. Cleveland, B. Kleiner,  and J.L.  Warner,  "Robust Statistical  Methods
    and Photochemical  Air Pollution Data," Journal  of the Air Pollution Control
    Association, Vol.  26, p. 36, 1976.

5.  W.S. Cleveland, B. Kleiner,  J.E. McRae, and J.L.  Warner, "The Analysis of
    Ground-Level Ozone Data from New Jersey,  New York,  Connecticut, and
    Massachusetts:  Transport from  the  New-York^WHrbpolitan Area," Bell
    Laboratories, Murray Hill, New  Jersey, 1975.

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                                    89
           5.0  TRENDS IN NITROGEN DIOXIDE AIR QUALITY

      This chapter examines recent historical trends in ambient N0? con-
 centrations.   As in the previous chapter, the focus is on three air quality
 indices:   annual mean, 90th percentile, and yearly one-hour maximum.   Five-
 and ten-year changes in N02 concentrations are examined, using the data base
 described in Chapter 2.  Year-to-year trends are investigated with an ex-
 panded data base.  The year-to-year trends are discussed in terms of emis-
 sion-factor changes and source growth.

 5.1  FIVE- AND TEN-YEAR CHANGES IN N02 AIR QUALITY
      A convenient way of determining overall air quality trends is to fit
 a regression line to the year-to-year levels of air quality.  The change in
 ambient concentrations over a period of interest is defined by the values
 of the regression line at the beginning and end of the period.  This  method
 is applied here to determine net changes in N02 concentrations for individual
 stations over the periods 1969-1974 and 1964-1974.
      The data base described in Chapter 2 serves as the basis for this trend
                                                     s
 study.  To ensure adequate data for the trend estimates, five-year trends are
 determined only for those stations with at least two years of complete data
 from 1969 to 1971 and at least two years of complete data from 1972 to 1974.
/
 Ten-year trends are computed only for those stations with at least three
 years of  complete data from 1964 to 1968 and at least three  years  of
 complete  data from 1970 to 1974.   For a given location,  data are  included
 only  if they  have been taken with  the same monitoring method each  year.
 Stations  are  excluded from the  analysis if the site has  been relocated

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                                   90
or if there has been a change in the monitoring agency.  With these
restrictions, 19 sites in the data base  qualify for the five-year trend
analysis, and 10 sites qualify for the ten-year analysis.
     Table 5.1 summarizes five-year trends at various monitoring sites.
Net percentage changes in annual mean,  90th percentile, and yearly
maximum NOp concentrations are listed for each site.  The sites are
grouped according to geographical area.
     Caution should be followed in drawing inferences from five-year
trend estimates.  Year-to-year meteorological variance can play havoc
with air quality trends over a span of five years.   Substantially dif-
ferent results occur, depending on  whether the first (or last) couple of
years were good years for air quality or bad years.  With the 90th per-
centile concentrations there is an additional problem, round-off error.
For most locations, the percentile concentrations are reported only to
the nearest pphm, and the error in round-off can be significant.  The large
upward trend in 90th percentile concentrations at Portland may, in part,
be due to this type of error.  The reported 90th percentiles at Portland
from 1970 to 1974 are 4, 4, 4, 5, and 5 pphm, respectively.
     With these caveats in mind, we make the following observations con-
cerning five-year trends.  Essentially no overall change in N02 concentra-
tions occurred in Los Angeles County over the five years.   Orange County,
a rapidly growing part of the Los Angeles basin,  experienced a substantial
increase in NOp concentrations.  Other California locations and New Jersey
       From  1965 to 1974, population grew at 4.3% per year in Orange County
and only  0.3%  per year  in Los Angeles County.  Traffic levels  increased  by
7.5%  per  year  in Orange County and only 2.8% per year in Los Angeles County [!]•

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                          91
Table 5.1  Five-Year Changes in Ambient N02 Concentrations

STATIONS


LOS ANGELES BASIN SITES
Orange County: Anaheim
(rapid growth) La Habra
Average for Orange County
Los Angeles County: Azusa
(slow growth) Lennox
Los Angeles
L.A. (Westwood)
L.A. (Reseda)
Average for Los Angeles County
OTHER CALIFORNIA SITES
Oakland
Pittsburg
Redwood City
Salinas
San Rafael
Santa Cruz
Stockton
Average for Other California Sites
NEW JERSEY SITES
Bayonne
Camden
Newark
Average for New Jersey Sites
OTHER SITES
Chicago, IL
Portland, OR
NET PERCENTAGE CHANGE
TRATIONS
Annual
Mean

+ 9%
+99%
+54%
+17%
- 7%
+ 3%
+ 8%
- 4%
+ 3%

- 7%
- 8%
-24%
- 1%
+ 5%
+15%
- 3%
- 3%

-27%
- 9%
- 5%
-14%

+32%
- 4%
FROM 1969 TO
90th
Percent! le

+ 5%
+60%
+33%
+ 7%
-11%
- 2%
+11%
-10%
- 1%

- 9%
- 4%
-25%
- 1%
0%
-24%
-44%
-15%

-18%
- 7%
0%
- 8%

+51%
+44%
IN N02 CONCE
1974
Yearly
Maximum

+13%
+72%
+43%
+ 6%
+ 1%
-31%
+32%
-13%
- 1%

-14%
-12%
- 9%
+27%
0%
-27%
-21%
- 8%

-36%
-52%
+17%
-24%

+94%
-16%

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                                   92




locations witnessed a moderate improvement in N02 air quality.  The Chicago



site evidently underwent a substantial  worsening of N02 air quality.



     Table 5.2 presents ten-year changes in ambient N02 concentrations.



Over the ten years, Los Angeles County, Stockton, and Chicago all  show sig-



nificant increases in annual  mean N02 concentrations.  This increase is



presumably due to increases in NO  emissions over the decade.  NO   emissions
                                 X                               A


increased because of traffic growth and because the controls initially used



to reduce HC and CO in new cars had the side effect of raising NO   emissions.
                                                                 A


A recent study indicates that NOV emissions increased by about 29% in Los
                                X


Angeles County from 1964 to 1974 [1].  This is only slightly above the 22%



increase in annual mean N02 concentrations for the county.



     A very interesting feature of Table 5.2 is the trend in 90th  percentile



and yearly maximum concentrations in Los Angeles County and Stockton, Cali-



fornia. In contrast to the increase in  annual mean N02 concentrations, the



90th percentiles showed little change over the decade, and the yearly maxima



showed a moderate decrease.  We are not sure why this is the case.  The most



plausible explanation involves HC controls.  California, in particular



Los Angeles County, has achieved significant HC control over the decade.



The decrease in HC levels may have an amelioratory effect on ambient NOp



levels, especially maximum N02 concentrations.  This hypothesis is supported



by a study which showed that daily maximum N02 concentrations increased less



than daily maximum NOX concentrations in the Los Angeles basin over the



past decade [1].  A second explanation  involves changes in the spatial

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                                   93
                Table 5.2  Ten-Year Changes in Ambient N02 Concentrations

STATIONS


LOS ANGELES BASIN SITES
Los Angeles County: Azusa
Burbank
Lennox
Long Beach
Los Angeles
L*A. (Westwood)
L.A. (Reseda)
Pomona
Average for Los Angeles County
OTHER CALIFORNIA SITES
Stockton
NON-CALIFORNIA SITES
Chicago, IL
NET PERCENTAGE CHANGE
CENTRATIONS FROM 1964
Annual
Mean

+66%
+28%
- 9%
+18%
+18%
+27%
+18%
+ 9%
+22%

+45%

+40%
90th
Percent! le

+32%
+21%
-25%
+ 5%
+ 3%
+12%
+ 7%
0%
+ 7%

- 2%

+60%
IN N02 CON-
TO 1974
Yearly
Maximum

+39%
+ 5%
-35%
-23%
-20%
+31%
-21%
+ 7%
-17%

-17%

+46%
 distribution  of emissions.   On  both  a  local  and  regional scale, source
 growth occurs  in a  spreading fashion.   As  the  spatial distribution of
 emissions becomes more  spread out, maximal concentrations may be reduced
 relative to mean concentrations.  This  second  hypothesis fails, however, to
explain the  historical decreases in maximal NQ2 relative to maximal  NOX.

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                                  94
5.2  YEAR-TO-YEAR TRENDS IN N02 AIR QUALITY

     The previous section presented overall air quality trends for five-  and
ten-year periods.  A given overall trend can occur in a variety of ways,  i.e.,
a variety of year-to-year patterns.  The year-to-year pattern in the trend
is important in relating air quality changes to source growth and control
strategies.  This section discusses the year-to-year changes in NC^ air
quality for several regions.
     With the original data base that was subject to the 75% completeness
criterion, it is difficult to examine year-to-year trends at certain stations
because many years of data fail the completeness test.  The data base for
trend analysis can be expanded considerably by including years with at least
50%  complete data, and by interpolating for years with less than 50% complete
data.  This expanded data base has been assembled for several areas of the
country.  All the data which have been added have been subjected to the quality
control procedures of Chapter 2, and all reported maxima have been adjusted
for  sample size according to the method described in Chapter 3.
5.2.1  Trends at CAMP Sites
     Figure 5.1 presents year-to-year trends averaged over 4 CAMP sites
(Denver, Chicago, St. Louis, and Cincinnati) from 1964 to 1973.* Yearly
values and three-year moving averages are plotted for the annual mean, the
90th percentile, and the annual one-hour maximum.  Since the SAROAD printout
did  not include annual means for several of the years, the 50th and 70th
       Of  the  6  CAMP  sites, Washington D.C. is not  included because of a
 change in  station  location, and  Philadelphia is excluded because of  the
 lack  of data  for 1972  and  1973.

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                                         95
    40  -J
    30  -
Q.
D.
c
o
JO



I   2°
O
C
o
o

 CM
O
    10  -
-C
Q.
Q.
 C
 O
 C
 O)
 u
 c
 o
o
 CM   o
O    '-
5  -



4


3
     1  -
                                                                   YEARLY ONE-
                                                                  HOUR MAXIMUM
             -i	1	1	1	1	1	1	1	1	r
              64    65    66    67    68     69    70    71     72    73
                                                                        90th

                                                                     PERCENTILE
APPROXIMATE

  ANNUAL

   MEAN
              Yearly  Values
                                                           Three-Year
                                                         Moving  Average
              64     65    66    67    68    69    70    71     72
           Figure 5.1   N02 Air Quality Trends at  4 CAMP Sites

                        (Denver, Chicago, St. Louis, and Cincinnati)

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                                   96




percentiles were averaged each year to provide an estimate of the



annual mean.



    The three-year moving averages are approximately constant at the CAMP



sites from 1965 to 1968 for all three air quality indices.  An increase in



N02 concentrations, especially for the annual mean and 90th percentiles,



occurs from 1968 to 1972.  Little of the increase in N02 concentrations



can be attributed to growth in VMT (vehicle miles travelled).  The 4



CAMP urban areas are low-growth areas [2].  Slow growth would especially



prevail in the center-city parts of the areas where the monitors are lo-



cated.  The increase is most likely due to the rise in NOV emissions for
                                                         A


1968-1972 model-year light-duty vehicles.  Those model-years were subject



to HC and CO emission standards but no NO  standard, and the technology
                                         A


used to attain the HC and CO standards increased NO  emissions.  The
                                                   A


leveling off of the annual mean and 90th percentile from 1972 to 1973 might



be partly due to the federal emission standard for NO  that came on line in
                                                     A


1973.



    The net change in the three-year moving average at the 4 CAMP sites from



1965 to 1972 was +16% for the annual mean, +20% for the 90th percentile con-



centration, and +7% for the yearly one-hour maximum.  The lower increase in



the yearly maxima compared with the annual means may be an anomaly caused by



random variance.  However, it does follow the pattern noted previously among



California sites, where maximal concentrations increased much less than an-



nual mean concentrations.  As we hypothesized for California, hydrocarbon



control may have yielded the side benefit of reduced maximal N02 concentrations.
     Overall, the average of 50th and 70th percentiles provided a quite

good estimate of the annual mean.

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                                   97
Significant decreases in hydrocarbon  (and oxidant) concentrations at CAMP
sites have recently been documented [3].  Another explanation for the
lesser increase in maximal concentrations could be the spreading-out of
emissions (see discussion on pages 92 and 93):.
5.2.2  ..Trends at New Jersey Sites
     Figure 5.2 summarizes trends averaged over 2 New Jersey sites
(Bayonne and Newark) from 1966  to 1974.  In this case, there was a slight
improvement for all three air quality indices.  Three-year averages de-
creased 12% for the annual mean, 9% for the 90th percentile, and 13% for
the yearly maximum from 1967 to 1973.
     For the two New Jersey sites, the increase in automotive emissions
from 1968 to 1972 is not apparent in  the air  quality trends.  We are not
sure why.  Possibly, reductions in stationary area source NO  emissions,
                                                            /\
caused by conversions to natural gas,  may have compensated for the increase
in vehicular emission factors.   It is  also noteworthy that northern New
Jersey is a  low-growth  area;  there may have actually been negative growth
in the environs of the  monitor. A striking feature of the trends is the
decrease in N02 concentrations  from 1973 to 1974.  This may be largely
due to the energy crisis and the associated reduction in VMT that occurred
in 1974.
    As with  California  sites  and CAMP sites,  yearly maximal N02 levels
decreased by more  than  annual  mean  levels  in  New Jersey.  However, the
difference  in  the  trends (-13% vs.  -12%)  is certainly not statistically
significant.
5.2.3  Trends  in Coastal/Central Los  Angeles  County
     Los Angeles County provides high-quality aerometric and emission data
that are very  suitable  for  trend analyses.  The coastal/central areas of

-------
    40
 i:   30
 o
 o
 CJ
 o
20 -
     10 _
     10


     9



     0 -
"S.   7
Q.

c;
o
c
o
o
o
     1  _
                                      98
                                                                YEARLY ONE-

                                                               HOUR MAXIMUM
             I     I      I     i      1     I      I     I      I     I     i

             64    65    66    67    68    69    70   71    72    73    74
                                              v'
              Yearly Values
                                                                    ANiIUAL

                                                                     MEAN
                                                         Three-Year

                                                       Movinq Average
            64    65    66   67    68    69    70    71    72    73
         Figure  5.2  NCL  Air Quality Trends at 2 New Jersey Sites

                      (Bayonne and  Newark)

-------
                                   99
Los Angeles County are particularly  interesting because of the reductions
in hydrocarbons that have been achieved  in those areas.  Figure 5.3 sum-
marizes N02 air quality  trends at 6  coastal/central stations in Los Angeles
County from 1964 to 1974.
     For all three air quality indices,  three-year moving averages of NOp
concentrations increased slightly from 1965 to 1970 and decreased from 1970
to 1973.  This reflects  changes  in automotive-emission factors.  NO  emis-
                                                                   /\
sions increased substantially in 1966 to 1970 model-year vehicles due to
the "leaning out" of engines for HC  and  CO control.  California established
emission standards for NO   starting  in 1971.  Growth in traffic has not
                         J\
had great effect on trends  in this part  of the Los Angeles basin.  VMT grew
at 2.8% per year in Los  Angeles  County from 1965 to 1974 [1].  However,
most of the VMT growth occurred  in portions of the county away from the
older, well-established, central business districts where the 6 monitors
in question are located.
     The net changes in  three-year moving averages of N02 concentrations
from 1965 to 1973 are +13% for the annual  mean, +2% for the 90th percentile,
and -8% for the yearly one-hour  maximum.  The increase in the annual mean
N02 concentrations is slightly less  than the increase in mean NOX concen-
trations at these 6 stations  (approximately +20%) [4].  Increases in 90th
percentile N02 concentrations and yearly maximum N02 concentrations are even
less than the increase in annual mean N02 levels.  The varied trends may be
due to hydrocarbon control.   It  is possible that hydrocarbon control has
     *These stations  are  Burbank,  Lennox,  Long Beach, Downtown Los Angeles,
Westwood,and  Reseda.

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                                      100

    60  -i
    50
    40  -J
c

u
 OJ
o
     10  -
            Yearly Values
             64
                    I
                   65
66
I
67
                                                                      90th
                                                                   PERCENTILE
                                                                  ANNUAL
                                                                   MEAN
                                  Three-Year
                                Moving Average
68    69
I
70
I
71
72    73
      I
      74
      Figure  5.3  N02 Air Quality Trends at 6  Sites in-Coastal/Central
                   Los Angeles County

-------
                                  101
slightly reduced annual mean N02  levels relative to annual mean NOX levels.
Even more plausible is the contention that HC reductions have yielded sig-
nificant benefits with respect to maximal NOo concentrations.  Part II of
this report, which involves empirical models of the N02/precursor relation-
ship, should shed more light on these issues.  Models are developed for both
annual mean and yearly maximum N02  concentrations.

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                                 102


5.3  REFERENCES
1.  J.C.  Trijonis,  T.K.  Peng,  6.J.  McRae,  and L.  Lees,  "Emissions  and
    Air Quality Trends  in the  South Coast  Air Basin,"   EQL  Memorandum
    No. 16,  Caltech Environmental  Quality  Laboratory, Pasadena,  California,
    January  1976.

2.  U.S.  Bureau of  the  Census,  Statistical Abstract  of  the  United  States;
    1975, Washington, D.C.,  1975.

3.  A.P.  Altshuller, "Evaluation of Oxidant  Results  at  CAMP Sites  in  the
    United States,"  Journal of the Air  Pollution  Control Association,
    Vol.  25, p. 19, 1975.

4.  California Air  Resources Board, Ten-Year Summary of California Air
    Quality  Data:   1963-1972,  Sacramento,  January  1974.

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                                  103
       6.0  RELATIONSHIP OF YEARLY QNF-HQUR MAVTMfl flMn ANN1IAI MFANS

    If the existing long-term air quality standard for N02  (5 pphm-annual
mean) is supplemented with a one-hour  standard, it will be  important to
know when and where each of the standards is the binding constraint for
control strategy formulation.  Under certain conditions, one of the standards
may be obviously binding; under other  conditions, both standards may have to
be considered.  Since a specific one-hour standard has not yet been chosen,
we cannot completely solve the problem of determining the binding constraint.
Rather, this chapter will provide the  information that is required to ad-
dress the problem once a standard has  been set.  The required information
is based on an analysis of spatial and temporal patterns in the ratio of
one-hour maximum to annual mean.
    A similar problem  (determining the binding constraint) will arise if
a short-term air quality standard is set for 90th percentile concentrations.
The information needed to solve that problem can be assembled in a manner
entirely parallel to the present analysis.  The key variable would then
be the ratio of the 90th percentile concentration to the annual mean
concentration.
6.1  NATIONWIDE PATTERNS IN THE MAXIMUM/MEAN RATIO
    The data base described in Chapter 4 and Appendix C provides information
on present ratios of maximum-to-mean N02 concentrations.  That data base
includes yearly one-hour maxima and annual means, averaged  from 1972 to
1974, for 120 urban stations and 3 rural/power plant stations.  The

-------
                                        104

distribution of maximum/mean ratios for the 120 urban stations is shown
in Figure 6.1.
  t/o
   O)
   CD
   ra
   
-------
                                       105
There does not appear to be any general geographical pattern in Table 6.1.
Seven of the seventeen sites are  in California, but this is not unusual
because half of the 120 urban monitoring  sites are in California.
       Table 6.1  Locations with Maximum/Mean Ratios Exceeding 8, 1972-1974
Station Maximum/Mean Ratio Station Maximum/Mean Ratio
Ojai, CA
Phoenix, AZ
Bar stow, CA
St. Louis (006), MO
Chi no, CA
Ashland, KY
Costa Mesa, CA
San Diego, CA
Denver, CO
13.4
12.2
12.0
11.5
11.1
11.0
10.2
9.6
9.2
Glen Falls, NY
Silver Spring, MD
Reno, NV
Las Vegas, NV
Baltimore, MD
Los Angeles,
(Westwood), CA
San Jose, CA
Redwood City, CA
9.0
8.8
8.5
8.4
8.1
8.1
8.0
8.0
     Figure 6.1 provides some clues as to whether a one-hour or annual  mean
standard would be the binding constraint.  If a federal one-hour standard
were established at the level of the California one-hour standard (25 pphm),
and if the maximum and mean responded equivalently to emission control,

-------
                                  106
then a maximum/mean ratio of 5 would be the dividing point for a binding
one-hour standard vs. a binding annual  mean standard.  Figure 6.1  indicates
that the one-hour standard would be binding for 38% of the urban locations.
If a federal one-hour standard were set at 50 pphm, and if the maximum
and mean responded equivalently to emission changes, then the critical
maximum/mean ratio would be 10.  For this case, the present annual  mean
standard would be the binding constraint for 94% of the locations.   Before
too much is read into this simplistic analysis, we should note that the
assumption of the maximum and mean responding equivalently to emission
control seems to be a poor one.  As noted earlier,  the  maximum-to-
mean N02 ratio evidently changes with time.  In Part II we will  find evidence
that this occurs because HC control reduces maximal N02 levels preferen-
tially over mean f^ levels.  If emission control can significantly alter
the maximum/mean ratio, then it may be best to consider both the annual
mean and one-hour standard for every location in formulating strategies
for attainment and maintenance of the NAAQS.
     Figure 6.2 illustrates the national geographic pattern of maximum/
mean N02 ratios.  To avoid cluttering the map, not all  of the 120 urban
stations are included.  Where there are several stations in close proximity,
the stations with the highest and lowest ratios are recorded on the map to
illustrate the range in the ratio.  Figure 6.2 reveals no broad nationwide
patterns in the maximum/mean N0£ ratio.  Both the western and eastern
sites show about the same maximum/mean ratio, typically ranging from 5

-------
Figure 6.2  Nationwide Geographic Distribution of Maximum/Mean N0
            Urban Sites,  1972-1974
Ratio at

-------
                                      108
to 12; also, no discernable gradient in the ratio is apparent from north to
south.
     It is interesting to determine if there is a relationship between the
maximum/mean ratio and the overall  level  of NO,, concentrations.  Do sites
with higher N02 concentrations tend to have higher or lower maximum/mean
ratios?  Figure 6.3 shows the average maximum/mean ratio for sites with
various levels of annual mean N02.   For the 120 urban stations, there appears
to be essentially no dependence of the maximum/mean ratio on the annual mean.
Sites with annual mean concentrations from 1 pphm to 4 pphm have an average
maximum/mean ratio of 6.5, while sites with annual mean concentrations from 4
pphm to 8 pphm have an average maximum/mean ratio of 6.4.  Figure 6.3 also
demonstrates the anomaly of the 3 rural/power plant sites.  These 3 sites
have annual means of about 0.8 pphm, and the average maximum/mean ratio
among these sites is nearly 20.  As noted above, the high maximum/mean ratio
is expected for these sites because they are subject to infrequent, but
rather intense, fumigations by power-plant plumes.
6.2   INTRAREGIONAL  PATTERNS  IN THE  MAXIMUM/MEAN  RATIO
      In  this  study,  two areas  have  been  selected for the  purpose  of  investi-
gating intraregional  patterns  in N02  concentrations.  These  are the  Los
Angeles  air basin and the  New  York-New Jersey-New England area.   Figures
6.4 and 6.5 illustrate  the spatial  patterns of the maximum/mean N02  ratio
within these  regions.
     No consistent spatial gradients  appear in Figures  6.4 and 6.5.   The most
populated portion of the Los Angeles  basin, the  central/coastal area,
shows about the same average ratio  (approximately 7) as  the  downwind

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                            109
20-
15-
10 _
 5 _
              3 Rural/Power  Plant Stations
               T
                2
                          Urban Stations
~T
 3
T
 4
T
 5

              Annual Mean
           6      7

Concentration, pphm
8
     Figure 6.3  Dependence of Maximum/Mean Ratio on Annual  Mean
                 N00 Concentrations

-------
Figure 6.4  Maximum/Mean N02 Ratio at Monitoring  Sites  in the Los Angeles Region, 1972-1974

-------
                    Ill
Figure 6.5
Maximum/Mean  N02 Ratio  at Monitoring Sites
in the New York-Hew Jersey-New England Area,
1972-1974

-------
                                      112
eastern/inland areas and the isolated northwestern counties (Santa Barbara
and Ventura).  New York City has about the same ratio (approximately 6) as
Philadelphia, northern New Jersey, New Britain, CT, Springfield MA, and
Providence, RI.
6.3  HISTORICAL TRENDS IN THE MAXIMUM/MEAN RATIO
     It is important to investigate historical trends in the maximum/mean
N0£ ratio.  If it can be shown that the maximum/mean ratio is essentially
constant over time at all locations, then it may be safe to take a simplistic
approach in determining binding air quality standards.  For instance, the
California one-hour N02 standard (25 pphm) could be considered binding
over the federal annual standard (5 pphm) for all locations with a maximum/
mean ratio greater than 5.  If, on the other hand, the maximum/mean ratio
shows significant trends, then the binding standard may change with time.
In this case, both standards should always be considered in formulating
and evaluating control strategies.
     Figures 6.6 and 6.7 illustrate recent historical trends in the
maximum/mean N02 ratio averaged among 4 CAMP sites and 2 New Jersey sites,
respectively.  The data base used to compute these trends is described
in Section 5.2.  There is a slight decline in the maximum/mean ratio for
the CAMP sites.  Essentially no overall change occurs at the New Jersey
sites from 1966 to 1974.
     Figure 6.8 illustrates the trend in maximum/mean ratio at 6 sites
in the central/coastal part of Los Angeles County.  A persistent decline
in the ratio is evident; the three-year moving average decreases by 19%
from 1965 to 1973.   As previously discussed, a possible explanation for

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                                       113
     7


£   6
 cv,  5
 o
 'x
 3

 2^


 1 -
                                            Three-Year
                                          Moving Average
                                                         Yearly Values
             64    65    66    67     68    69    70    71    72    73    74

   Figure 6.6- Trends in the Maximum/Mean N02 Ratio Averaged  over 4 CAMP

               Sites (Denver, Chicago, St» Louis, and Cincinnati)
03
CC.

 CM
O
5 -
§   4^
                                                       Three-Year Moving Average
3 -
2 -
1 ~
i
Yearly V,
64 65 66 67 63 69 70 7"l 72 ^3 74
  Figure  6.7   Trends in the Maximum/Mean N02 Ratio Averaged over 2

               New Jersey Sites (Bayonne and Newark)

-------
                                  114
  o  1 ~\
 •r-
  
-------
                                         115
ro
CC
 CVJ
o
c
(O

-------
                                     116
      Figure 6.10 illustrates trends in the maximum/mean ratio at  5 locations
   in central California.  The ratio  shows  a substantial rate of decline; the
   three-year moving average decreases by 17% from 1968 to 1973.  Again, this
   may be related to HC control, although HC trends are not well documented
   for these locations.
    8
    7-
    6-
 CM  _  ,
S   5 ~
c
10
    4 ~
•I   3
X
    2
    1 H
           64
65
                       Three-Year  Moving Average
66
67
68   69
70
                                                     71
                                           72    73
                                                 74
           Figure 6.10  Trends in Maximum/Mean NOo Ratio at 5 Locations
                        in Central California (Redwood City, Salinas, San
                        Rafael, Santa Cruz, Stockton)

-------
            117
         PART II:
 EMPIRICAL MODELS OF THE
N00/PRECURSOR RELATIONSHIP

-------
                                    119

       7.0  EMPIRICAL ANALYSIS OF THE  N02/PRECURSOR DEPENDENCE

     Determining the impact of control strategies or new emission sources
on air quality requires a method of translating emission changes into air
quality changes.  The conventional  method for nitrogen dioxide is to model
total NOX as an inert primary pollutant and to assume that N02 concentra-
tions are directly proportional to  ambient NO  concentrations, with the
                                             /\
proportionality constant equated to the existing atmospheric ratio of
N02 to NOX.  This approach has some merit, because it is generally agreed
that ambient N02 levels should be approximately proportional to ambient
NO  levels, with all other factors  held constant.  However, other factors
  A
are not always invariant.  In particular, hydrocarbon emission reductions
may affect ambient N02 concentrations.  If we are to predict changes in
N02 air quality with more confidence,  we must know the dependencies of
N02 concentrations on both photochemical precursors, hydrocarbons as well
as NO.
     /\
     Experimental studies with smog chambers have provided most of our
present understanding of the N02/precursor dependence.  The various chamber
studies agree on some aspects of the N02/precursor dependence, but they
disagree on other aspects.  Because of these disagreements and because of
uncertainty  in  extrapolating experimental studies to the real atmosphere,
there is a need for empirical models that extract information about the
N02/precursor dependence from ambient  data.  The purpose of Part II of
this report is to develop and apply such empirical models.
     This chapter serves as an introduction to Part II.  Section 7.1
reviews the results of various experimental studies and summarizes existing

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                                   120
knowledge of the M^/precursor dependence.   Section 7.2 presents the
conceptual framework for empirical  models.   The remaining chapters
develop empirical models for various  cities and check these models against
historical trends and smog-chamber  results.  Models for both annual mean
NOp and yearly one-hour maximum NOp are included.
7.1  EXPERIMENTAL EVIDENCE OF THE N02/PRECURSOR DEPENDENCE
     Several researchers have used  experimental  test chambers (smog
chambers) to investigate the dependence of nitrogen dioxide concentrations
on the levels of precursor inputs.  These experimental  studies have pro-
vided most of the present understanding of the N02/precursor dependence.
Before we formulate and apply empirical methods for determining the N02/
precursor dependence, it is useful  to review the results of the smog-
chamber experiments.  Because both  the empirical approach and the smog-
chamber approach involve significant  uncertainties, it will  be important,
in the end, to compare the results  of both approaches.
     Our review of experimental studies will  consider results from five
smog chamber projects:
     •  The University of North Carolina (UNC) stddy using an 11,000-cubic-foot
        outdoor Teflon chamber, a simulated urban hydrocarbon mix, and
        twelve-hour irradiations[l];
     t  The Bureau of Mines study,  using a 100-cubic-foot aluminum-glass
        chamber, auto-exhaust hydrocarbons, and six-hour irradiations[2,3];
     t  The General Motors study,  using a 300-cubic-foot stainless steel-
        glass chamber, a simulated  Los Angeles hydrocarbon mix, and six-
        hour irradiations[4];

-------
                                     121


      •  The  HEW study using a 335-cubic-foot chamber, auto-exhaust hydro-

         carbons, and up to ten-hour irradiation time[5]; and

      •  The  HEW study using a 335-cubic-foot chamber, toluene and m-xylene,

         and  six-hour irradiations[6].


  7.1.1   Average N02 Concentrations


       The  various smog-chamber studies apparently yield consistent results

  concerning the dependence of average N02 yield (or N02 dosage) on NOX


  input.   With other factors held constant, average N02 concentrations tend
          i
  to be directly proportional to initial NO .  The proportional relationship
                                           .Ai

  for average N02 is illustrated in Figures 7.1 through 7.5.
a.
3
O
3C
O
c
O
CJ
0)
O)
<0

OJ
.30



.25



.20



.15



.10



.05



.00
        .00
           .10
                          I     '    I
                  I    '    I
                                    I    T
                                                >,
                                                ^Small Sample Sizes
                                  1
             _L
              _L
1
_L
                                   1
.20
 .30     -40       .50       .60
Initial  Nitrogen Oxides,  ppm
                                                                    .70
      Fiaure  7  1   Nitrogen Dioxide Ten^Hour Average Concentration
                'vs.  Initial  Oxides of Nitrogen for  Urban  Hydro-
                   carbon  Mix (Means  of Several  Experiments),
                   University of North Carolina  Study[l]
                                                                        .80

-------
                             122
   I.
   Q.
   
   o
   a
  ss
      240
      200
      160
      120
       80
       40
                                           (HO,: 5.0 ppmC
            O.I - 2.3 ppmC
              O.Z
                     0.4
                            0.6
                                   0.8
                                 ppm
                                          1.0
Figure 7.2   Nitrogen Dioxide Dosage as a Function of NO

             at  Various HC Levels, Bureau of Mines Stud/12]
     15
     1.2
    0.9
  O)
  cn
   CM

  Q
     06
    0.3
                                     0  •—- Varied HC Levels
            o.:
0.6
                    0.2    0.3     0.4    0.5

                    Initial NOX Cone., ppm


Figure  7.3  Nitrogen Dioxide Dosages  in  the Irradiation

             of Multicomponent Hydrocarbon/N0x Mixtures,

             General Motors  Study [4]

-------
                                    123
s-
3
o
    1.0
                                              '1.5 ppm To!uene
o
c
o
o
 (O


 O!
     .5  H
                                       4 ppm Toluene

                        ^/_ ^ — -^". ^~' 3 ppm Toluene
                                  i.o
                                              1.5
                  0"xfdes  of Nftrdgen Concentration, pprfi

           Figure 7.4  Average N02 Concentration (Over Six  Hours)

                       vs. Initial NOY at Three HC Levels,
                       HEW           x
 Q.

 Q.
 in

 •3
 O
o:
 i
o
 o
o

 C\'.
o
 o
 o>

 £
     1.0 -n
      .5 J
                                                                 12  ppm  (Auto

                                                                        Exhaust)


                                                                 6  ppm  (Auto

                                                                        Exhaust)


                                                                 3  ppm  (Auto

                                                                        Exhaust)
                      I            I            I            I

                      .5         1.0          1.5         2.0
                      UXfcfes of Nitrogen uonceritratibn, ppm


          Figure 7.5  Average N02 Concentration (During First

                      Ten Hours) vs. Initial NOX at Three HC

                      LevelSs HEW Study[5]

-------
                                    124
     The dependence of average N02 concentrations on hydrocarbons is less
understood.  Stephens has hypothesized that reductions in hydrocarbon
concentrations should tend to increase average N02 concentrations because
the hydrocarbon reductions would delay and suppress the reactions that
consume N02 after it reaches a peak [7J.  Figure 7.6 presents a schematic
illustration of "this hypothesis.  The Bureau of Mines chamber results are
consistent with Stephens' hypothesis (see Figure 7.2) [2].  However, three
other chamber studies indicate that hydrocarbons produce no consistent
effect on average NO, concentrations [4,5,6].
     In direct contradiction to Stephens' hypothesis, the UNC outdoor
chamber experiments found that a 50% reduction in hydrocarbons produced about
a  20% decrease in average N02 [1].  However, in defense of the hypothesis,
it should be noted that the UNC chamber runs were of ten-hour duration
and that the NO,, levels at the end of the experiments were greater when
hydrocarbons were reduced.  The extra N02 remaining after the ten-hour
period could cause an increase in 24-hour average N02, even though average
N02 was reduced during the first ten hours.
7.1.2  Maximal N02 Concentrations
     As was the case with average N02, the various chamber experiments
yield consistent results with respect to the dependence of one-hour maximal
N02 on NOX input.  With other factors held constant, maximal N02 concentra-
tions tend to be directly proportional to NOV input[l,3,4].  This proper-
                                            A
tional effect is illustrated in Figures 7.7 and 7.8.
     There is less agreement with respect to the dependence of maximal
N02 concentrations on hydrocarbon input.  The Bureau of Mines study

-------
                                125
C
0
N
C
E
N,
R
A
T
I
0.
N
            PRESENT
                  03 (OZONE)      0
                                  N
                                 0
                                 F
                                                HOURS
  HOURS .

CONTROL   OF   HYDROCAR'BON
    |
           I
NO
              HOURS
         HOURS
                                  D
                                  E
            Figure 7.6.  Stephens' Hypothesis of Effect of
                       HC and NOX Control[7]

-------
     .00
       .00     .10      .20      .30    .40     .50     .60
                           Initial Nitrogen Oxides, ppm
.70     .80
Figure 7.7  Nitrogen Dioxide Maximum Concentration vs. Initial Oxides
            of Nitrogen (Means of Several  Experiments) UNC Study [1]
                               Initial NOX,  ppm
Figure 7.8  Dependence of Nitrogen Dioxide Maximum Concentration
             on Initial Nitrogen Oxides,  Bureau of Mines Study  [3]

-------
                                     127
found that maximal N02 concentrations are essentially independent of initial
hydrocarbon input  [3].   However,  two other studies  imply  that  hydrocarbon
reductions decrease maximal N02 concentrations.  The UNC outdoor chamber
results indicate that 50% hydrocarbon control tends to decrease maximal N02
concentrations by  about  10% to 20%  [1].  The General Motors chamber
studies indicate that 50% hydrocarbon control reduces maximal N02 by about
25%  [4].  These latter two studies  also show that maximal N09 is rela-
tively more sensitive to hydrocarbon reductions at higher NOV levels.
                                                            X
7.1.3  Summary of  Chamber Results
     All of the chamber  experiments agree concerning the proportional
dependence of N02  (average or peak  concentrations) on NO  .  These studies
also concur that hydrocarbon control will reduce maximal N02 concentra-
tions relative to  average N02 concentrations.  The disagreement concerns
exactly how this relative change  in maximal and mean N02 will occur.  The
Bureau of Mines study (and Stephens' hypothesis) indicate that hydrocarbon
control would leave maximal N02 unchanged but would increase average N02.
The  UNC and General Motors studies  indicate that hydrocarbon control would
reduce maximal N02 but would yield  no change (or a slight benefit) in average
N02.
  Considering the  results of all  the chamber studies, it is possible to arrive
at an overall best estimate of the  effect of hydrocarbon control on N02
concentrations.  The consensus based on existing chamber results would
appear to be as follows:  Fifty-percent hydrocarbon control would have little
effect on average  N02 concentrations, a change of + 10%, but would yield
moderate benefits  in terms of maximal N02, a reduction of about 10% to Z0%.

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                                     128
 7.2   FORMULATION OF EMPIRICAL MODELS

      Empirical models, based on statistical analysis of ambient  data,
 should  be  able to  further our present understanding of the N02/precursor
 dependence.  Where the various chamber studies appear to reach a consensus,
 empirical  models can verify that the conclusions are representative of the
 real  atmosphere.   Where  the individual chamber studies disagree, empirical
 models  may help  to resolve the discrepancies.
      Developing  empirical models for annual average N02 and yearly one-
 hour  maximum NOo is a complex procedure.  Some of the complications become
 apparent if the  typical  diurnal pattern of nitrogen dioxide, shown in Figure 7.9,
 is  considered.   Figure 7.9 demonstrates that ambient N02 concentrations tend
 to  peak twice during the day--once in the late morning and once  in the evening.
 The exact times  and relative strengths of these peaks vary from  day to day
 and depend on the  season and geographic location.  The yearly maximum one-
 hour  concentration in the morning is often about the same as the yearly one-
 hour  maximum in  the evening.  Thus,  in general, an empirical model relating
 precursors to yearly one-hour maximum N02 should consider both the morning
 and evening peaks. Figure 7.9 also  demonstrates that the minimal N02 con-
 centrations, which occur in the early morning and late afternoon, are not
negligible compared with the maximal  concentrations.   This  phenomenon warrants
the conclusion  that an  empirical  model  for annual  average N02 must include all
hours  of the day, not just the times  of peak concentrations.

-------
                                   129
    o
    •I—
      Also,  leftover N02 from the nighttime
 period  may significantly affect the N02 levels  of the subsequent "daytime"
 period.

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                                  130




7.2.1  Alternative Model Formulations



      Figure 7.10  presents a conceptual diagram for  an empirical model of



 daytime  peak  one-hour NOg.  It  1s assumed that daytime peak N02 concentra-



 tions depend  on only two types  of factors:  (D  6:00-9:00 A.M. concentra-



 tions of precursors  (NMHC and NOJ; and (2)  meteorological  factors  that govern
                                A


 the concentration of N02 produced from the  precursor concentrations.   The



 empirical models  will be based  on relationships between day-to-day changes in



 6:00-9:00 A.M. precursor concentrations and corresponding changes  1n day-



 time peak one-hour N0«  concentrations.  Day-to-day changes 1n precursor




 concentrations are produced by  several processes, Including variance 1n



 overnight and early-morning dispersive conditions, weekday/weekend emission



 changes, variance in overnight  air mass trajectories  (and associated



stationary source areas),  and  changes in  vehicular emission factors induced



by variance 1n temperature and humidity.   The  first process,  dispersion,  is



the dominant factor changing precursor concentrations  from day to  day.   The



last  two processes are notable because they  affect the NMHC/NO  ratio as
                                                              X


well  as overall  NMHC  and NO  concentrations.  The  empirical  approach followed
                           A


here  implicitly assumes that daily changes in  precursor concentrations,



produced mostly by overnight and early-morning meteorological  variance, can



be used to model  the  effect of changes in precursor concentrations  that



would result  from  control strategies.



      The most simplistic statistical analysis that could be performed  on



the system in Figure 7.10 would be to determine the function





        Daytime Peak  One-Hour N02 = F^NMHC, NOX)  »                       (1)





where NMHC =  6:00-9:00  A.M. NMHC concentration,



 and NO  = 6:00r9:00 A.M. NO   concentration.
       ^                    n

-------
                       I.  Morning Precursor
                           Concentrations

                         6:00-9:00 A.M. NOX
                         6:00-9:00 A.M. NMHC
                           I        t
Previous-Evening,
Overnight,  and
Early-Morning
Factors
Meteorology
Emissions
                                                              II.   Meteorological Factors
                                                              Governing N02 Concentrations
                                                              Produced from Morning Pre-
                                                              cursor Concentrations.
                                                              (Post 9:00 A.M.)
                                                                    Solar Radiation
                                                                    Mixing Height
                                                                    Temperature
                                                                    Wind Speed
                                                                       Etc.
                                                                                                                               CO
                                                                            Late-Morning
                                                                          Peak One-Hour N02
             Figure  7.10   Conceptual  Diagram of  Empirical  Model  for  Daytime Peak One-Hour N02

-------
                                  132
 The function, F,,  would form the basis for an empirical model for daytime
 peak N02 by indicating the percentage change 1n peak one-hour N02 that would
 be attained from  various percentage changes 1n NMHC and NOV concentrations.
                                                           A
      One of the major drawbacks of the simplistic approach is that the relation-
 ship between peak one-hour N02 and  precursors (i.e., Equation (1)) might be
 spurious in the sense that it is due to mutual correlations with unaccounted
 for weather factors.   For instance, NMHC concentrations might be positively
 correlated with solar radiation, which  1n turn has  a positive relationship
 to  peak  N02  concentrations.  These  effects can be partially discounted for
 by  a more  complex analysis that explicitly Includes the weather factors.
 In  this  case,  the statistical analysis would determine the equation

           Daytime Peak One-Hour N02 = F2(NMHC,NOX,W15...,WN)  ,       (2)

 where  Wp...,W^ are the daily values of  N weather parameters  that  govern
 N02 concentrations produced from  the precursor concentrations. Equation  (2)
 would  form the basis  for an empirical model by Indicating  the  net  effect
 of  precursor changes  on N02 under various types of  meteorological  conditions.
     The analysis for daytime peak  N02 can also be  made more complex by
 including  5:00 A.M. N02 concentration as an independent variable in
 Equation (1) or Equation  (2).  This would allow the carry-over effect
 of previous-day N02 to  be accounted for.  In this case, the basic
 empirical equation would be

              Daytime Peak One-Hour N02 = F3(NMHC,NOX,N02),            (3)

 or if weather variables are included,

              Daytime Peak One-Hour N02 = F4(NMHC,NOX>W1,...,WN,N02)   (4)
        *
where N02 = 5:00 A.M.  N02 concentration.

-------
                                  133
     Empirical models based on  Equation  (3) or  (4) would require coupling
with a model for overnight N02.   That  is,  the dependence of 5:00 A.M. N02
on previous-day precursors (NMHC  and NOX)  would have to be included before
Equation (3) or (4) could be  used to represent the full dependence of
daytime peak N02 on primary pollutants.
                                                                      i
     Empirical models for daytime average  N02 are obtained simply by
taking average N02 rather than  one-hour  peak N02 as the dependent
variable in Equations  (1) through (4).   Similar empirical models can
be formulated for nighttime peak  one-hour  N02 and nighttime average
N02.  For the nighttime case, the averaging times for precursor con-
centrations and weather variables would, of course, be different from
the averaging times for the daytime case.  Also, late-afternoon oxidant
might be included as a "precursor" variable for nighttime N02.   An assumed
relationship of oxidant versus NMHC and N0¥ would  then  be required  to trans-
                                          /\
late the dependence of N02 on oxidant  into a dependence of N02  on primary
precursors.
7.2.2  Study Areas
     The empirical modeling analysis will  be conducted for 8 locations.
Two of these, Denver and Chicago, are  center-city CAMP sites, operated by
the United States Environmental Protection Agency.  Two other sites are  in
Houston, Texas:   the Mae Drive  site  (near  the main source area of Houston)
and the Aldine site  (about ten  miles downwind of the main source area).   The
other 4 sites are in Los Anqeles  County  and are operated by the
Southern California  Air  Quality Management District.  The Los Angeles County
sites were selected so that 1  (Downtown  Los Angeles) is in the center
of the county, 1  (Lennox) is  in the coastal upwind portion of the  county,

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                                  134
and 2 (Azusa and Pomona) are in the inland downwind portion of the county.
These 4 sites and the typical wind patterns in the Los Angeles basin are
shown in Figure 7.11
     The complexity of  the empirical models selected for each location
 (e.g., whether meteorological parameters are included), will depend on
 data availability.  For the present study, comprehensive data are
 available  for pollutant and weather  variables at  1 location  (Downtown
 Los  Angeles).   Several  empirical models with varied degrees  of complexity
 will be  applied to  that location.  The results of the alternative models
 will be  compared, and an assessment will be made  of the adequacy of very
 simple models  (e.g., Equation  (1)).  Applications to locations other than
 Downtown Los Angeles will be restricted to simple models because meteoro-
 logical  data are not readily available for the other locations.
 7.2.3  Combination  of Submodels
     In  this study, the empirical modeling analysis will be  disaggregated
 by season.  As  discussed in Chapter 9, diurnal patterns for  nitrogen di-
 oxide show marked seasonal changes, especially from summer months to winter
 months.  It is  interesting to determine if the N02/precursor relationship
 also undergoes substantial seasonal changes.  Disaggregating the analysis
 by seasons also tends to keep weather factors more uniform in each analysis.
 This disaggregation should reduce the problem of  spurious relationships due
 to hidden correlations between precursor concentrations and  weather factors
 that govern NC^ production from the precursors.
     To construct complete empirical models for annual average N02 and
yearly peak one-hour N02 requires a synthesis of  the individual models for

-------
SANTA BARBARA Ci&NTY
                              ^^^^^^^
                               \
                            VENTURA
                            COUNTY

                                           \LOS ANGELES, COUNTY^
                                                      /    -'    • SAN BERNARDINO COUNTY
                                                      /     "Azusa/       >
                                                                                                      CO
                                                                            RIVERSIDE
                                                                             COUNTY
                     Figure  7.11  Map of the Metropolitan Los Angeles AQCR

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                                  136
daytime and nighttime for each season.  Using the definition of "daytime"
and "nighttime" given above, the daily average for each season is given by

     Daily Average NOg = -ir '  Daytime Average + -i4 •  Nighttime Average-  (5)
Yearly average N02 is just a linear combination of the daily averages for
the individual seasons.   The empirical  model  for yearly one-hour maximum NOg
will be the peak one-hour model for the particular season and time of day
when the yearly one-hour maximum occurs.  If the yearly maximum can occur
in more than one season or more than one time of day, then two or more
submodels for peak one-hour M^ will have to be considered.
7.2.4  Limitations of Approach
      The specific empirical models proposed here for determining the NC^/
precursor dependence suffer from several limitations.  It is implicitly
assumed that daily changes in precursor concentrations, produced mostly by
variance in overnight and early-morning meteorology, can be used to model
the effect of control strategies.  The validity of this assumption has not
been resolved.
      As noted previously, the simple models that omit meteorology may result
in correlations which are not representative of causality.  The more complex
models require a detailed meteorological data base.  Data requirements may
present a problem even with the simple models, because measurements are needed
each day for N02» NOX> NMHC, and oxidant.  Because of missing values for
one or more pollutants, two to three years of ambient data are often necessary
to provide an appropriate sample size for the statistical analyses.  The data
requirements are worsened by the need to sample over a wide range of NMHC/NOx
ratios.

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                                   137
      Another limitation of the empirical models used here is  the neglect
 of  precursor emissions that occur after the time when ambient  precursors
 are measured.  For example, in the daytime N02 model, the 6:00-9:00  A.M.
precursor concentrations  represent emissions only up  to 9:00 A.M.  This limita-
tion may not  be extremely serious  because accumulated overnight and early-
morning emissions  (up  to  9:00"A.M.) are  substantially larger than the total
amount of late-morning emissions.  Also, the day-to-day variations in 6:00-
9:00 A.M. concentrations  may be somewhat representative of day-to-day variations
 in  precursor concentrations resulting  from late-morning emissions.
     Perhaps  the most  serious  drawback of our  approach is the neglect of
 transport.   Nitrogen dioxide concentrations will be related to precursor
 concentrations measured at the same location but at an earlier time.   If
 significant  transport  occurs,  the  nitrogen dioxide measurements and pre-
 cursor measurements will  be associated with totally different air masses.
 This could destroy the possibility of  obtaining  the desired relationships.
 For the case  of peak N02  concentrations  in the Los Angeles basin, there is
 reason for encouragement  because the times between the precursor measure-
 ments and N02 peaks  (approximately 9:00  A.M. to  10:00 A.M. and 7:00 P.M. to
 10:00 P.M.)  tend   to be periods of stagnation[8,9].   For other cities and for
 average N02  concentrations, transport  may be a very important problem.  This
 problem should be  kept in mind when reviewing  the results of the models ap-
 plied in this study.
     It is possible to formulate more  complex  empirical models  that  can
take into account  emissions from all hours[10,11] and that do  include pollu-
tion transport[ll,12].  However, formulating and  applying these complex
models requires  much  greater effort and  is beyond the resources of the
present investigation.

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                                   138



     The limitations of the empirical approach taken here can have  consider-



able impact on the relationships observed between ambient N02 and ambient



precursor concentrations.  For example, assume that N02 concentrations are,



in actuality, directly proportional to NOV input.  If transport were a very
                                         A


significant factor, regressions of daytime N02 concentrations versus early-



morning NO  concentrations may show little or no dependence because the two
          /\


measurements are associated with different air masses.  In this case, the


statistical relationship between N0? and NO  would entirely misrepresent the
                                   C.       X


causal dependence.



     Because of the limitations in our approach, it may not be possible to



arrive at purely statistical formulas that precisely represent the depen-



dence of N02 on its precursors.  At the minimum, however, the empirical



models should indicate the important qualitative aspects of the N02/precur-



sor relationship (such as whether a hydrocarbon dependency exists).  These



conclusions can be checked against historical trends in precursors and N02-



In the end, control strategy analysis might best be performed by combining



the results of the empirical models with the findings of smog-chamber tests.

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                                  139

7.3  REFERENCES

 1.  H. Jeffries, D. Fox, and R.  Kamens, "Outdoor Smog Chamber Studies:
     Effect of Hydrocarbon Reduction on Nitrogen Dioxide," prepared for
     EPA Office of Research and Development by University of North
     Carolina, EPA-650/3-75-011,  June 1975.

 2.  B. Dimitriades, "On the Function of Hydrocarbons and Nitrogen Oxides
     in Photochemical Smog Formation," Bureau of Mines Report of Investi-
     gations #7433, September 1970.

 3.  B. Dimitriades, "Oxidant Control Strategies. Part I.  An Urban Con-
     trol Strategy Derived from Smog Chamber Data," paper submitted for
     publication in Environmental Science and Technology.

 4.  J. M. Heuss, "Smog Chamber Simulation of the Los Angeles Atmosphere,"
     General Motors Research Publication GMR-1802, Warren, Michigan,
     February 1975.

 5.  M. W. Korth, A. H. Rose, and R. C. Stahman, "Effects of Hydrocarbon
     to Oxides of Nitrogen Ratio  on Irradiated Auto Exhaust," Journal  of
     the Air Pollution Control Association. Vol. 14, May 1964.

 6.  A. P. Altshuller, e_t al., "Photochemical Reactivities of Aromatic
     Hydrocarbon-Nitrogen T5x~ide and Related Systems," Environmental
     Science  and Technology, Vol. 4, January 1970.

 7.  E. R. Stephens, "Proceedings of the Conference on Health Effects  of
     Air Pollution," U.S. Senate  Committee on Public Works, U.S.  Government
     Printing Office Stock No. 5270-02105, 1973.

 8.  M. Neiburger and J. Edinger, "Meteorology of the Los Angeles Basin,"
     Report No. 1 of the Air Pollution Foundation, Southern California
     Air Pollution Foundation, 1954.

 9.  M. Neiburger, N. Renzetti, and R. Tice, "Wind Trajectory Studies  of
     the Movement of Polluted Air in the Los Angeles Basin," Report No. 13
     of the Air Pollution Foundation, Southern California Air Pollution
     Foundation, 1956.

10.  G. Tiao, M. Phadke, and G. Box, "Some Empirical Models for the
     Los Angeles Photochemical Smog Data," Journal of the Air Pollution
     Control Association, Vol. 26, p. 485, 1976.

11.  L. Breiman and W. Meisel, "The Change in Ozone Levels Caused by
     Precursor Pollutants:  An Empirical Analysis," Proceedings of the
     Conference on Environmental  Modeling and Simulation. EPA 60D/9/76-
     016, April 1976.

12.  J. Trijonis, "Economic Air Pollution Control Model for Los Angeles
     County in 1975," Environmental Science and Technology. Vol.  8, p. 811,
     1974.

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                                 140
            8.0  PREPARATION OF DATA BASE FOR EMPIRICAL MODELING

     The objective of Part II of this project is to determine how peak
and average NOo concentrations depend on precursor concentrations.  The
data base consists of hourly readings of NO, N02, NOX, HC, CH4, NMHC,
and oxidant at 2 CAMP monitoring sites (Chicago and Denver), 2
Houston sites (Mae and Aldine), and i Los Angeles basin sites (Down-
town Los Angeles, Lennox, Azusa, and Pomona).  At 1 of the Los Angeles
sites, Downtown Los Angeles, detailed meteorological data are also in-
cluded.  The Chicago and Denver data were obtained from EPA's SAROAD
system; the Houston data, from the Texas Air Control Board (TACB); and
the Los Angeles data, from the Southern California Air Quality Management
District (SCAQMD).
     Chicago, Denver, and Los Angeles were selected as three cities
providing long-term air quality data and representing a range of climatic
conditions.  Although Houston has only a short history of air quality data,
it was included because of the possibility of special conditions in
Texas[l,2].  Because of its numerous air monitoring stations, the Los Angeles
area is very suitable for study of intraregional patterns in the N02/pre-
cursor dependence; therefore, we have included 4 SCAQMD sites in the
analysis.
     This chapter documents the procedures used to process and check the
raw data.  Section 8.1 describes the original data base; Section 8.2
indicates how the raw data were organized into a processed data base; and
Section 8.3 discusses the data quality check.  These efforts culminated
in the creation of an edited data base with a convenient format for
statistical studies.

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                                  141
8.1  COMPUTER TAPES OF AEROMETRIC  DATA

     Magnetic tapes of hourly air  quality  data  from  the Denver and Chicago
CAMP sites were obtained  from the  SAROAD system.  Although these tapes
covered the period 1963 to  1973, only five years of  data  (1969 to 1973)
were employed in  the  statistical study.  Restricting the  analysis to five
years provided sufficient data for the empirical models and limited the
cost of data processing.  Table 8.1 lists  the pollutants  and monitoring
methods for Denver and Chicago.
          Table 8.1   Pollutant Data Used for Denver  and Chicago
                                                              SAROAD Code
             Pol 1utant              Method               (Pollutant-Method)
               NO              Colorimetric                   42601-11
               N02              Colorimetric-Griess-Saltzman   42602-12
               NOX              (NO +  N02)
               OX              Colorimetric Neutral  KI        44101-14
               HC              Flame  lonization              43101-11
               CH4              Flame  lonization              43201-11
               NMHC             (HC -  CH4)
     The  hourly data  on  the SAROAD tapes was listed  in an 80-column (card-
image)  format as  described  in Table 8.2.   Missing values  were represented
by blanks.  The original  SAROAD tapes were organized according to the
following order:   station,  pollutant, year,  and day. The units of all  the
pollutants were  ppm.

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                                 142
         Table 8.2  Format of Hourly SAROAD Data for CAMP Sites
Column
2,3
4-7
8-10
11
12,13
14
15,16
17,18
     Entry
State
Area
Site
Agency type
Project classification
Sampling time interval
Year
Month
Column
21,22

23-27
28,29
30,31
32
  ••^•••ton*
33-36
37-40
Etc.
77-80
         Entry
 Sampling start hour (stan-
   dard time), either 0:00
   or 12:00
 Parameter identification
 Method identification
 Unit code
 Decimal  locator
Observed values, in
chronological sequence.
Position of entry indi-
cates time of observation
(0:00-1:00, 1:00-2:00,
etc.) in standard time
      The  data  for  the  Houston/Mae  and  Houston/A!dine sites were provided
 through the courtesy of the Texas Air  Control  Board.   These data covered
 the years 1974 through 1976.  However, monitoring  for NO  (and  total  NOY)
                                                                       /\
 began in March 1975 at the Houston sites.  Thus,  data from only March 1975
 to December 1976 were  useful for the present study.   Table 8.3 lists the
 pollutants and monitoring methods  for  the Mae  and  Aldine  locations.

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                                  143
     Table  8.3   Pollutant Data Used for Houston/Mae and Houston/A1dine

     n „ ,.  ^                                      SAROAD Code
     p°.'.lutant                Method             (Pollutant-Method)
       NO               Chemiluminescence            42601  - 14
       N02              Chemiluminescence            42602 - 14
       NOX              (NO + N02)                   42603 - 14
       03               Chemiluminescence            44201  - 11
       HC               Flame  lonization             43101  - 11
       CH4              Flame  lonization             43201  - 11
       NMHC            (HC -  CH4)                   43102  - 11


     The hourly  data  for Houston were  organized  in  the  SAROAD format illus-
trated in Table  8.2.   The units  of all pollutants were  ppm.  The  Houston
data were organized according to the following order:  year, station,
pollutant,  day.
     Data tapes  for Los Angeles  sites  had  been obtained earlier by
Technology  Service  Corporation from the Los Angeles  section of the Southern
California  AQMD.    Although these tapes covered  the  period 1955 through
August 1974,  only data taken  after 1969 were  used in the statistical
study.  Table 8.4 lists the pollutants used in the statistical analysis.
     Table  8.5 presents the format for the hourly APCD data.  As with the
SAROAD tapes, missing data were  represented by blanks for  the Los Angeles
sites.  The original  APCD data were organized according to pollutant,
station, year, and  day.
     *Most of these data, except  for methane, are also available from
SAROAD or from the California Air Resources  Board.

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                                        144
Table  8.4   Pollutant Data Used for the 4  Los Angeles Sites
          Pol blunt


              NO

              N02


              *°x

              OX

              HC

              CH4

              NMHC

              CO

              SO,
               NfrtHod
                  APCD
            ColorlmtHc             25

            Colorimetric             21

            (NO + N02)

            Colorlmetric KI          39

            Flame lonization         31

            Flame lonlzation         32

            (HC - CH4)

            Nond1spers1ve Infrared   15

            Coulometric              18
           Table 8.5   Format of  Hourly APCD Data
Column
Entrv
Column
1
2-4
5-8
9-12
13-14
15,16
17,18
19
20
21
Dele. Code
Variable
Station
Year
Month
Days in month
Day
Day of week
Holiday
No-data day
22-24
25-27
28-30
*
91-93
94-97
98-100
101-103
104-106
107,108
*
 Entry

 Hourly readings. 3 spaces  each

 The position of an entry  de-
 fines the time of the reading,
 0:00-1:00, 1:00-2:00,...,
 23:00-24:00, standard time.

 Daily average

 Number of  hourly readings

 Maximum hourly reading

 Instantaneous maximum

 Hour of occurrence of
 inst. maximum

"Eacfi"3ay~con?Tnues"as"a66ve"
 until the end of the month.
 Then there is a list of
 various averages and other
 statistics pertaining to
 that month.

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                                  145
     Meteorological data tapes,  in  the form of the APCD "99 Cards," were also

available for Downtown Los Angeles.  Table 8.6 lists the parameters included

on the meteorological data tapes.


        Table 8.6  Parameters  Included in the APCD Meteorological
                   "99 Cards"  for Downtown Los Angeles
         Parameter


1.  Maximum oxidant value  in Los
    Angeles County and station
    where maximum oxidant  occurred

2.  Maximum degree of eye  irri-
    tation and time of occurrence

3.  Minimum recorded visibility
    and related data

4.  Minimum relative humidity
    from 6:00 to 19:00

5.  Maximum temperature

6.  Average wind speed, 6:00-12:00

7.  Hourly wind directions

8.  Average wind speed, 6:00-9:00
              Parameter
 9.  Inversion base height  at 4:00
     or 7:00

10.  Various parameters  describing
     the 4:00 or 7:00 inversion

11.  Calculated maximum  mixing
     height for the day

12.  Parameters describing  850
     pressure level

13.  Pressure gradient (LAX to
     Palmdale) at 7:00

14.  Temperature gradient (LAX to
     Palmdale) at 7:00

15.  Accumulated solar radiation,
     7:00-12:00
8.2  CREATION OF THE  PROCESSED  DATA  BASE


     The  first  part of  the  data-processing task was to reorganize the ori-

ginal data  into a more  practicable format for the statistical studies.  Since

the original tapes were organized first by pollutant and then by  day, the

air pollution readings  for  any  given day were scattered over the tapes.

The data  were reorganized so  that all  pollution data for each day are

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                                 146
grouped together.  In this new format, each day on the tape is followed by
the subsequent day.  The new, reorganized data tapes were then used with a
simple data retrieval program to generate printouts in the format illustrated
in Table 8.7.  With  the new format, one could quickly visually examine
all pollutant data for a given day.  Also, the new tape format greatly sim-
plifies data retrieval for the statistical analysis.
                  Table 8.7  New Format  for Pollutant Variables
STATION
DATE   Year | Month-1 Day
      READING  NUMBER  ...       1            2          3       ....      24
      (STANDARD TIME)...  (0:00-1:00)  (1:00-2:00)  (2:00-3:00)  ....  (23:00-24:00)
NO
N02
HC
CH4
OX
NOX
NMHC
*
so2
**
CO
X
X
X
X
X
X
X

X

X
X
X
X
X
X
X
X

X

X
A • * * *
A • * * •
A • • • *
A • • • •
A • • • •
A • • * «
A • • * *

A • • • •

A • • • t
X
X
X
X
X
X
X

X

X
                      **
APCD 99 CARD VARIABLES
    *
     Los Angeles stations only
   **
     Downtown Los Angeles only

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                                  147

     The "first generation"  processed data base included many days with in-
complete data.  The next  task was to develop a "second generation" processed
data base which excluded  days with grossly incomplete data.  For this task,
we composed six completeness criteria and determined, for each site, the
number of summer and winter  days meeting each criterion.*  We hoped to choose
a criterion that would strike a balance between quantity and quality; i.e.,
we wished to retain as many  days as  possible while restricting ourselves to
days with rather complete data.
     The selection criteria  were based on our interest in certain times of
the day for which we needed  precursor or N02 data for the empirical models.
the periods (in civil time)  were
     t  hydrocarbons (preferably nonmethane):  6-9 A.M. (readings 7,8? & 9
                                                        in standard time
                                                        readings 6,7 & 8
                                                        daylight time)
     t  oxides of nitrogen:  6-9 A.M. plus 3-7 P.M.
     •  oxidant or ozone: 2-5 P.M.
     •  nitrogen dioxide: 6 A.M. of the  first day to 6 A.M. of the next
                           day with  emphasis on readings at 4-6 A.M.,
                           9-12 A.M., and 4-7 P.M.
These times can be called the "fields of  interest."
     The first selection  criterion  (1A) required essentially complete data
within the fields of interest and allowed only one-hour gaps in the N02
record for the day.  This strict criterion involved the following specific
restrictions:
     ^Summer" was taken as April-September, "winter" as October-March.

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                                 148
1A.     NMHC:   all 3 readings from 6-9 A.M.
          OX:   at least 2 readings from 2-5 P.M.
         N02:   all 3 readings from 9-12 A.M.
                all 3 readings from 4-7 P.M.
                at least 1 reading among 4-6 A.M.
                Not more than 1 consecutive missing value from 6 A.M. of
                  the first day to 6 A.M. of the next day
         NOX:   all 3 readings from 6-9 A.M.
                all 4 readings from 3-7 P.M.
All times were in civtT time ("dayTight time from May through October and
standard time from November through April).
     Criterion IB was the same as 1A except the NMHC restriction was changed
to a THC restriction.  A separate criterion was formulated for THC because
preliminary investigations indicated that some CAMP sites might have con-
siderably more THC data than NMHC data.
     Criteria 2A and 2B require that most (but not all) of the data in the
fields of interest be present.  The specific criteria were:
2A.        NMHC:  at least 2 readings from 6-9 A.M.
             OX:  at least 2 readings from 2-5 P.M.
            N02:  at least 2 readings from 9-12 A.M.
                  at least 2 readings from 4-7 P.M.
                  No more than 3 consecutive missing values from 6 A.M.
                    to 6 A.M. the next day
            NOV:  at least 2 readings from 6-9 A.M.
              A
                  at least 3 readings from 3-7 P.M.

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                                  149
    2B._     Same as 2A, except THC is required instead of NMHC.

     The weakest pair of criteria, 3A and 3B, allow substantial data gaps
in the field of interest, as long as the data are complete enough to per-
mit reasonable "interpolation."  Thus,each completeness requirement within
the field of interest is replaced by a weaker one, and specifications are
added for data which will allow interpolation.  Criteria 3A is as follows:
3A.     NMHC:  at  least 1 reading from 6-9 A.M.
               at  least 2 readings from 5-10 A.M.
          OX:  at  least 1 reading from 2-5 P.M.
         N02:  at  least 1 reading from 9-12.A.M.
               at  least 2 readings from 8 A.M.-i P.M.
               at  least 1 reading from 4-7 P.M.
               at  least 2 readings from 3-8'P.M;
               No  more than 4 consecutive readings missing from
                 6 A.M. to 6 A.M. the next day.
         NO  :  at  least 1 reading from 6-9 A.M.
           
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                           150
  Table  8.8  Number  of Days Meeting  Each Criterion
                             Criterion Number

Chicago
summer
winter
Denver
summer
winter
Houston/Mae
summer
winter
Hous ton/ A1 dine
summer
winter
Los Angeles
summer
winter
Lennox
summer
winter
Azusa
summer
winter
Pomona
summer
winter
TA

68
79

133
193

74
41

47
60
471
400

419
181

522
429

529
464
II

271
288

143
222

74
41

47
60
474
403

424
184

523
429

532
472
2A

138
124

221
330

94
58

63
77
713
636

624
520

683
591

752
662
2B

398
386

242
345

94
58

63
77
716
639

632
523

684
592

752
663
3A

162
140

277
427

105
62

67
83
839
783

746
652

742
637

801
677
3B

455
415

305
436

105
62

67
83
842
785

757
655

742
637

801
677
Note:  "Summer" is defined as April  through September.
      "Winter" of a given year is January through March,
       plus October to December.

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                                    151
2 to 3). With the exception of Chicago, each  site provided nearly as many
days meeting the NMHC criteria as  the HC  criteria..  However, because of spotty
methane data, Chicago had many more days  meeting the "B" criteria than
the "A" criteria.  The  low number  of days in  Houston for all criteria
results from the limited duration  of sampling (March 1975-December 1976).
     To create  the processed  data  base, we decided to choose criterion 2A
for all sites except Chicago,where we selected criterion 2B.  Choosing
criterion 2 allowed us  to maintain a sufficiently large data base for the
empirical models.  Although criterion 3 would have yielded an even larger
data base, it was rejected as permitting  too  much interpolation and lowering
the quality of  the data.  Criterion 1 was rejected as leaving too little
data for certain cities.
     One subtlety in the compilation of the data base was the distinction
between ozone  (03) and  oxidant  (OX).  The 2 Houston sites measure ozone
according to the chemiluminescence method.  Although the 6 CAMP and Los
Angeles sites measure total oxidant by the potassium iodide (KI) method,
the 2  CAMP sites actually report 03 by correcting for NO and NO Interference
according to the equation
                 [03] =  [OX] -0.2[N02] -0.2[NO].                        (6)
During the years of interest, the  oxidant monitors at the CAMP sites were
fit with S02 scrubbers, and the  above interference correction is appropriate
for such monitors[3,4,5].*
     The Los Angeles oxidant  monitors are not equipped with S02 scrubbers.
A different interference correction is appropriate for these sites[4,6]:
     *Note that the S02 scrubbers convert NO to N02<

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                                     152

                 [03] = [OX] -0.2[N02] + [S02]                          (7)

This correction  has not been applied by the Los Angeles AQMD because N02
and S02 are  generally negligible when ozone is high[7].  However, at
night and  at other low-ozone periods, the negative contributions of S02 and
the positive contribution of N02 can be quite significant.  For consistency
with Chicago and Denver, we decided to correct all Los Angeles area oxidant
readings  for N02 and S02 interference, using Equation  (7).  During the.
afternoon  oxidant peak, this correction appears reasonable; however, one
must use  caution in correcting  the low oxidant readings of 1 pphm (the minimum
reported)  encountered at other  times.  In these cases, the number generated by
adding  S02 to  oxidant may exceed the actual ozone level.  For example, an
ozone value  of 2 pphm and a S02 reading of 4 pphm would cause a minimum oxi-
dant reading of 1 pphm to be corrected to 5 pphm, more than twice the actual
ozone  level.  Thus,  in cases where oxidant is reported as 1 pphm, there is
 uncertainty as to the real ozone level.
8.3  DATA  QUALITY CHECK
     The Los Angeles and Houston air quality data are subject to extensive
quality control  procedures and  are thoroughly screened before publication[8,9].
In contrast, the  post-1969 CAMP data for Denver and Chicago have been subject
to little  quality control beyond a cursory inspection[5].  Therefore, our
quality control and editing efforts focused on the Denver and Chicago data
bases.
      We screened all of the Houston data and some of the Los Angeles data
ourselves and found no severe anomalies.  We also found that the daily
pollutant patterns made good sense from a physico-chemical viewpoint.

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                                    153
     The first step  in  the  data  quality check for Denver  and Chicago was
to list, for each  pollutant,  the diurnal  patterns for the five days per year
with the highest pollution  levels.   We  scanned these  visually to determine:
0)  whether the maximum concentrations  reported for each  pollutant were reason-
able and were consistent with other pollutants; and  (2)  whether there were
any unusually abrupt concentration  changes  between  consecutive readings.
     Next, the entire  processed  data base (grossly incomplete days excluded
by the  criteria chosen  in Section 8.2)  was  reviewed for reasonableness and
consistency among  pollutant readings.   The  following  checks were then
applied:
     •  The hourly pollution  values were scanned, and any sharp rises or
drops between consecutive readings  were scrutinized.   Deletions or changes
were made when appropriate.
     •  Oxidant values  were compared against the normal pattern of low
nighttime levels and higher afternoon concentrations.  Days with (inexplicably
high  (>10 pphm) nighttime OX values were deleted.
     •  The relationships between NO and OX levels  were noted.  Since these
pollutants should  not  coexist at high concentrations,  we  calculated the
product [OX] x [NO].  Where [OX] x  [NO] exceeded 100  pphm2, the OX and NO
values  were regarded as suspect  [10].
      t   Days  with  high N02 levels were examined to verify that  these were
 preceded  by moderate or high NO levels.
      •  We  deleted a few days in which the interim'ttency  of readings caused
 us  to suspect the  validity of the data.

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                                    154

     •  A check was made for negative NMHC values, which represent the
physically impossible situation of the CH4 concentration exceeding that
of total hydrocarbons.  Any day with several NMHC readings of less than
-2 pphm was deleted as having suspicious  HC data.   All  negative NMHC readings
in the "field of interest"  were deleted.
      •  Days  with  a substantial majority of zero  entries  for one or more
 pollutants were deleted  on the grounds that the zeroes  might actually be
 missing data.
      Table 8.9 lists the days  eliminated from  the processed  data base along
 with the justification for their  deletion.   In addition to these deletions,
 we altered one reading,  the 9:00-10:00 A.M.  N02 reading at Denver on 24
 February 1971.   Most of  the N02 readings that  day were  less  than 7  pphm,  ex-
 cept for a single  value  of 37  pphm.  We  changed that value to 4  pphm,  the
 mean of the preceding and  following levels.
      It should be  noted  that Table 8.9 applies only to  the processed data
 base and cannot be considered  as  a complete  list  of corrections  to  the
 Chicago and Denver CAMP  data.   There were also obvious  problems  on many of
 the days that were eliminated  from the processed  data base according to
 the selection criteria.  Since these days were already  excluded  from our
 study, we did not  subject  them to the data quality check.

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                                    155
               Table 8.9.   Deletions Made in Processed Data
                            Bases for Chicago and Denver
City
Chicago
  Date
70-4-22
70-6-22
70-12-16
71-2-18
71-4-27
72-4-10
72-5-18
73-2-4
Reason
NMHC « 0
All entries = 0
HC - 0
High 03 x NO
Low NO?, simultaneously high and rising NO +
OX peaks at 11 P.M.
NO erratic; NO • OX > 100; OX peak 10 P.M.
High NO; NO • OX > 100
Denver
72-9-25
72-9-4
72-10-31
73-7-29
73-8-22
73-8-28
73-8-29
73-8-30
73-8-31
NO falls while HC is high, level,and largely missing;
no photochemical activity to account for NO falling.
High N02 without prior NO precursor.
CH* and OX - many O's - could be blanks
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                                    156


 8.4  REFERENCES
 1.   6.  K.  Tannahill,  "The  Hydrocarbon/Ozone Relationship  in Texas,"
     presented at  the  Air Pollution Control Association Conference on
     Ozone/Oxidants, Texas  Air Control  Board, Dallas, March 1976.

 2.   E.  L.  Meyer,  Jr., C. 0. Mann, 6. L. Gipson, and 0. C. Bosch, "A Review
     of  the Air Quality and Emission Data Base for Ozone and its Precursors
     in  Selected Texas Cities," U. S. Environmental Protection Agency,
     Research Triangle Park, North Carolina, November  1975.

 3.   A.  P.  Altshuller, "Evaluation of Oxidant Results at CAMP Sites in
     the U.S.,"  Journal of  Air Pollution Control Assn., Vol. 25, p. 19,
     1975.

 4.   J.  A.  Hodgeson, "Review of Analytical Methods for Atmospheric
     Oxidant Measurements," International Journal of Environmental
     Analytical  Chemistry.  Vol. 2, p. 95,
 5.   6.  Ackland,  EPA Office of Research and Development, personal communi-
     cation,  June 1976.

 6.   Los Angeles  A.P.C.D., "Interferences with Ozone Measurement Made
     With Neutral Buffered KI Method," 4 pages, 1972.

 7.   J.  L.  Mills, W. D. Holland, I. Chernack, "Air Quality Monitoring
     Instruments  and Procedures," Los Angeles APCD, 1974.

 8.   J.  Foon, Los Angeles Air Pollution Control District, personal communi-
     cation,  Sept.  1976.

 9.   J.  Price,  Air Quality Evaluation  Division of the Texas Air Control  Board,
     personal communication, May 1977.

10.   T.  Curran,  EPA Office of Air Quality Planning and Standards, personal
     communication, June  1976.

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                                   157
                    9.0  SEASONAL AND
     Before the empirical modeling analysis is performed, the seasonal
breakdown for the analysis and the averaging times for the pollutant
variables must be specified.  This chapter arrives at those specifications
through an examination of seasonal aad diurnal patterns of ambient N02,
NMHC, NOX, and oxidant concentrations.  Section 9.1 describes seasonal
patterns and provides a  preliminary recommendation as to the seasonal
breakdown.  Section  9.2  discusses diurnal patterns during each quarter
of the year; this discussion  leads to final selections concerning sea-
sons and averaging times.  Section 9.3 explains how these selections are
used as the basis for a  computer file of dependent and independent varia-
bles.
9.1  SEASONAL PATTERNS
     Figures 9.1 through 9.8  present seasonal pollutant patterns for Denver,
Chicago, Houston/Mae, Houston/Aldine, Los Angeles, Lennox, Azusa, and Pomona,
respectively.  For each  location, the monthly averages of daily maximum one-
hour concentrations  are  plotted  for N02, oxidant,  NOX, and NMHC (divided by
ten).  The Denver and Chicago plots represent averages over the period 1969
to 1973; the Houston plots, averages over 1975 to 1976; and the Los Angeles
plots, averages over 1969  to  1974.
     For each location except Chicago, the primary photochemical precursors
(NO  and NMHC) show  pronounced peaks during the winter (1st and 4th quarters),
   A
typically reaching a maximum  during November or December.  These high
      *In  the seasonal  and diurnal patterns,  oxidant measurements  (not corrected
 for  interference) are  used for the 4 Los Angeles sites.   In the empirical
 models, corrected values representing 03 will  be used.

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                                            158
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Figure  9.1   Seasonal  Pollutant Patterns for Denver
               (Monthly  Averages  of Daily  Max  One-Hour  Concentrations, 1969-1973)
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Figure 9.2   Seasonal  Pollutant Patterns  for  Chicago
               (Monthly  Averages  of Daily Max One-Hour  Concentrations,1969-1973)

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                                             159
P

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Figure 9.3  Seasonal Pollutant  Patterns for Houston/Mae
              (Monthly Averages of Daily Max One-Hour Concentrations, 1975-1976)
          ' i U JjJ.U J LIJJ.I J.1J lllIJ llxil-liuiaJ UH-llU.1 111.!
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Figure 9.4  Seasonal Pollutant  Patterns for Houston/Aldine
              (Monthly Averages of Daily Max One-Hour  Concentrations,  1975-1976)

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                                           160
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Figure 9.5  Seasonal Pollutant Patterns for  Los Angeles
              (Monthly Averages  of Daily Max One-Hour Concentrations,  1969-1974)
    _ ILuJ 111 1.1 JJ.1 J i l.lllij ulll Llil.U.: 1 J.LU 1J Ul 11 11 l.LlJ.LL
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Figure 9.6   Seasonal Pollutant Patterns for Lennox
              (Monthly Averages  of Daily Max One-Hour Concentrations, 1969-1974)

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                                            161
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                  HONTH                                         MONTH
Figure  9.7  Seasonal  Pollutant Patterns for Azusa
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                        MONTH
                                                                    W3NTH
Figure 9.8   Seasonal  Pollutant  Patterns for  Pomona
              (Monthly  Averages of Daily Max One-Hour Concentrations, 1969-1974)

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                                   162
winter values for the primary contaminants are most likely due to intense
nocturnal inversions that tend to occur in the winter.  In Chicago, there
is no seasonal pattern for NOV, and NMHC appears to peak in the summer.
                             A
The last conclusion may not be reliable because NMHC data are very sparse
in Chicago.
     At all 8 locations, oxidant concentrations are greatest during the
summer (2nd and 3rd quarters), with peak oxidant values usually occurring
in July or August.  Elevated temperature and high solar-radiation intensity
are largely responsible for higher oxidant in the summer.  In the Los Angeles
region, the subsidence inversion which persists throughout the day in the sum-
mer also contributes to high oxidant in that season.
     Seasonal patterns of nitrogen dioxide concentrations are not consistent
among the various locations.  Denver and the coastal Los Angeles station
(Lennox) experience distinctly higher NOg concentrations during the winter.
Los Angeles, Azusa, Pomona, and the Houston sites show practically no sea-
sonal pattern in N02 levels, although a very minor peak seems apparent in
the 4th quarter.  Chicago shows a marked peak in NC^ concentrations during
the summer.
     It is interesting to note that the seasonal patterns in NO^ appear to
reflect competition between two factors:  dispersion and photochemical acti-
vity.  In the winter there are higher concentrations of NO  available to
                                                          f\
produce N02, but in the summer there is greater photochemical activity.   At
Denver and Lennox, primary contaminants show a strong peak in the winter, while
oxidant shows a relatively weak summer peak.  This may account for NO/> reaching

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                                   163
a peak during  the  winter at those two stations.   At Los Angeles, Azusa,
Pomona,  and  the  Houston sites, both the winter primary contaminant peak
and the  summer oxidant peak are pronounced.   This balance may account for
the lack of  a  seasonal N02 pattern for those 5 locations.  At Chicago,
there is no  seasonal  pattern for NOX, but the summer oxidant peak still
exists.   This  seems  consistent with N02 reaching  a summer peak in Chicago.
     The month-to-month patterns  in N0?,  oxidant,  NO , and NMHC concentrations
                                       £.             ^
suggest  that at  least two  seasons can be  distinguished.  The winter (1st and
4th quarters)  is marked by high levels of primary contaminants, while the
summer (2nd  and  3rd quarters)  is  marked by high oxidant levels.  The empiri-
cal modeling analysis should be divided at least  once, according to these two
seasons.  The  seasonal division will  help to keep weather factors more uni-
form in  the  analysis  and will  also permit an investigation of seasonal changes
in the N02/precursor  dependence.

9.2  DIURNAL PATTERNS
     This section  analyzes  diurnal  pollutant  patterns for each of the 6
study areas.   The  diurnal  patterns  are examined individually for each quarter
of the year.*   The purpose of the  analysis  is twofold:  (l)   to determine if
further  seasonal breakdowns (beyond the summer/winter division) are called
for, and (2) to  select appropriate  averaging tUne* for the pollutant  variables
to be included in  the empirical models.
     *The quarters are defined as (1) Jan.-Feb.-Mar,, (2)  Apr.-May-June,
(3)  July-Aug.-Sept., and (4) Oct.-Nov.-Dec.

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                                  164
     Figures 9.9 through 9.16 present diurnal patterns for each quarter
of the year at Denver, Chicago, Houston/Mae, Houston/Aldine, Los Angeles,
Lennox, Azusa, and Pomona, respectively.  Averages for each hour of the
day, reported in pphm, are given for N02, oxidant, NOX and NMHC (divided
by ten).  The 1st and 4th quarters are reported according to standard time,
while the 2nd and 3rd quarters are reported in daylight time.  Since the
hourly data from all 8 cities represent averages from midnight-l:00 A.M.,
1:00 A.M.-2:00 A.M., 2:00 A.M.-3:00 A.M., etc., the hourly values are
plotted on the half hour, starting at 0:30 A.M.
     As evidenced by Figures 9.9 to 9.16, the primary contaminants (NOX
and NMHC) exhibit two peaks during the day.  At all the stations and during
all seasons, the morning peak tends to occur around 7:30 A.M. or 8:30 A.M.
(the 7:00-8:00 A.M. or 8:00-9:00 A.M. hourly average).  The morning peak
is due to rush-hour traffic and to the low level of atmospheric dispersion
that often exists in the early morning.  In Denver and Chicago, the evening
peak in NOV and NMHC tends to occur around 5:00-6:00 P.M., reflecting the
          A
evening rush hour.  The Houston and Los Angeles sites exhibit much later
evening peaks, often as late as midnight.  The precursor peak occurs this
late at Los Angeles sites because atmospheric mixing is quite good in
Los Angeles during the afternoon rush hour.  The sea breeze is at full
strength in the late afternoon, and the inversion is elevated by ground
heating.  It is not until later in the night, when the sea breeze termi-
nates and a nocturnal inversion begins to take hold, that primary contami-
nants reach their evening peak in Los Angeles.  The late-evening peak at
Houston might be explained by similar conditions at that coastal city.

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                                             165
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                                           166
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                                               167
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                                              168
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                                              169
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                                            170
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                                               171
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                                             172
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               Figure  9.16  Diurnal  Patterns at Pomona (1969-1974)

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                                   173
    The diurnal patterns for the primary contaminants are similar during
the 1st and 4th quarters, and during  the 2nd and 3rd quarters.  The two
winter quarters tend to have stronger nighttime N0¥ and NMHC peaks than
                                                  /\
the two summer quarters, especially in the case of the Los Angeles sites.
This reflects stronger nocturnal inversions during the winter.
     At all sites and during all quarters, oxidant reaches maximal concen-
trations in the afternoon.  The oxidant peak tends to occur around 1:30 P.M.
at Denver, Chicago, Los Angeles, and  Lennox and slightly later, around  2:30-
3:30 P.M. at the 2 Houston sites and  2 downwind Los Angeles sites (Azusa
and Pomona).  The 2nd and 3rd quarters are distinguished by higher oxidant
levels than the 1st and 4th quarters.
     With respect  to diurnal patterns for nitrogen dioxide, at each site the
1st quarter is similar to the 4th  quarter, while the 2nd quarter is similar
to the 3rd quarter.  At Denver, the winter quarters show two nearly equal
NOo peaks, one at 9:30 A.M. and one at 5:30 P.M.  In the summer, N02 peaks
are lower at Denver, and the nighttime maximum occurs later (at about 10:30 P.M.).
Chicago shows very little diurnal  variation in N02 concentrations during the
winter, although a single, minor peak is evident at about 4:30 P.M.  N02 con-
centrations are higher during the  summer in Chicago, and the peak at 4:30 P.M.
is much more pronounced.
     At Houston  Mae, the winter quarters exhibit two nearly equal N02  peaks,
one at 8:30 A.M. and one at 6:30 P.M.  The evening N02 peak occurs later (about
11:30 P.M.) during the summer at Houston/Mae.  Houston/Aldine shows a pronounced
nighttime N02  Peak,  about  6:30  P.M.  in  the winter  and 9:30  P.M.  in  the  sunroer.

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                                   174
The summer N02 maximum is nearly the same as the winter N02 maximum at both
Houston sites.
     Los Angeles and Lennox exhibit a single major peak in N02 at about 10:30 A.M.
during all seasons.  At Los Angeles, the morning peak in the summer quarters ex-
ceeds the morning peak in the winter quarters.  At Lennox, the morning peak is
higher in winter than in summer.  The downwind Los Angeles sites (Azusa and
Pomona), show two N02 peaks during the day, one in the morning (at about
9:30 A.M.) and one in the evening.  In the winter, the evening peak occurs
around 6:30 P.M. and is larger than the morning peak.  In the summer, the
evening peak occurs around 9:30 P.M.  at a level close to that of the morning
peak.  The summer maxima in Azusa and Pomona have about the same strength as
the winter maxima.
      The  above observations  indicate that  diurnal patterns for each  pollu-
tant  are similar  in  the  1st and 4tTi quarters,  and 1n the 2nd ana 3rd
quarters.  This suggests that multiple seasonal divisions, according  to indi-
vidual quarters of the year,  are  not necessary.   A single seasonal division
(summer vs. winter)  appears adequate for  the empirical modeling study.
      The diurnal  patterns also suggest averaging  times for the variables  to
be  included in  the empirical  models.  The dependent  variable, nitrogen dioxide,
usually reaches two minima at around 5:30~~A~.M. and 3:30 P.M.  Thus, it appears ap-
propriate to select 6:00 A.M.  to 4:00 P.M. for "daytime average" N02 and 4:00 P.M.
to 6:00 A.M.  for "nighttime average" N02.  The daytime peak N02 will be taken as
the peak hour between 6:00 A.M.  and 2:00 P.M., while the nighttime peak N02 will
be the peak hour between 4:00 P.M. and 2:00 A.M.  The only exception to these
rules  is  Chicago,  which attains a single N02 peak in the late  afternoon.  For

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                                     175
consistency with other  sites,  the  daytime and  nighttime  averages will be de-
fined the same in Chicago  as elsewhere.   However,  the  daytime N02 peak will be
taken as the peak hour  from 6:00"A.M.  to 4:00  P.M.  in  Chicago.
     The early-morning  precursor levels might  best be  taken at the time of
maximal precursor concentrations,  say  7:00 A.M.  to 9:00  A.M.  However, for consis-
tency with the convention  established  by other researchers[l,2,3,4], a 6:00 A.M.
to 9:00 A.M. average will  be  used for  morning  precursors,  NO  and NMHC (or HC).
                                                            A
     An average from 4:00  P.M. to 7:00 P.M. will be used to measure evening NOV as
                                                                              A
a precursor of nighttime N02.   In  Denver and Chicago,  this is the period of
the evening maximum in  NOX concentrations.  For  the Houston and Los Angeles
sites,  the evening  NOV  maximum occurs  much later.   However, it seems best to
                      A
use the 4:00 P.M.  to 7:00 P.M. average for the Houston and Los Angeles sites as well
since  this average  is a measure of precursor levels at the beginning of the
nighttime period.   In the  empirical  models, day-to-day fluctuations in pre-
cursors, rather  than overall  precursor levels, are the key to obtaining the
desired relationship.  Thus,  it is not mandatory that  the  precursors be mea-
sured  during the  period when  they reach a maximum.
       Afternoon ozone will also be considered  as a  precursor to nighttime N02-
 The averaging time for oxidant will be taken  as 2:00  P.M. to 4:00 P.M.
       The above selections of  averaging times  for  the  dependent and independent
 variables are somewhat arbitrary.   Alternative  arguments  can be made which
 would suggest different seasonal  breakdowns and different averaging times than
 the ones we have chosen.   In  our  selections,  we have  attempted to strike a
 balance between  the need  for  detail to represent  a varied and complex phenomenon,

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                                    176
and the need for simplicity to facilitate application  of the empirical modeling
techniques.
9.3   COMPUTER  FILE  OF DEPENDENT AND  INDEPENDENT  VARIABLES
      To facilitate  the empirical modeling analysis,  computer files were created
which listed,  for each site,  the values  of  the dependent and independent varia-
bles. Separate files were established for  summer  (April-September) and winter
 (October-March).  The variables in the files  are summarized  in  Table 9.1.  As
indicated  in Table  9.1,  "initial conditions"  for N02 at  the  beginning of each
daytime and nighttime period  were included  in the  files.   These initial condi-
tions, as  well as the "precursor variables,"  might be  important in explaining
peak  and average NO,, concentrations.
      A special computer file was created for  Downtown Los Angeles.  This
file  includes seven weather parameters as well as  the pollutant variables.
The seven meteorological parameters are:
      t calculated maximum mixing height for  the day (HM);
      t maximum temperature for the day (TM);
      •  minimum relative humidity from 6:00 to 9:00  (RH);
      •  average wind speed from 9:00 to 12:00 (WS);
      a accumulated solar radiation from 7:00 to 12:00 (SR);
      •  pressure gradient from LAX to Palmdale (PG);  and
      •  temperature gradient from LAX to Palmdale  (TG).
Another variable, 6:00-9:00 A.M.  carbon monoxide concentration, was also
added  to the Downtown Los Angeles file.  This variable, which is not  a  causal
precursor of N02, should be useful  for assessing how the  intercorrelations
between morning precursors affect the statistical  results.

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             Table 9.1  Variables for the Empirical Modeling Analysis
   Dependent Variables
                           Independent Variables
 Initial Conditions
                                   DAYTIME ANALYSIS
   Peak One-Hour N02

(from 6:00 A.M. to 2:00 P.M.)"
   Average N02
(6:00 A.M.-4:00 P.M.)
                        Morning NOX
                        (6:00 A.M.-9:00 A.M. average)

                        Morning NMHC
                        (6:00 A.M.-9:00 A.M. average)

                        Morning HC
                        (6:00 A.M.-9:00 A.M. average)

                        Six Weather Variables
                        (Downtown Los Angeles only)
Early-Morning NO?
(5:00 A.M.-6:00 A.M. average)
                                  NIGHTTIME ANALYSIS
    Peak One-Hour NO?
 (from 4:00 P.M. to 2:00

    Average N02
 (4:00 P.M.-6:00 A.M.)
                        Evening NOX
                        (4:00  P.M.-7:00 P.M. average)
                                    **
                        Afternoon 03
                        (2:00  P.M.-4:00 P.M. average)
Afternoon N0£
(3:00 P.M.-4:00 P.M. average)
        **
For Chicago, this period is  6:00 A.M. to 4:00 P.M.

CAMP oxidant data were  obtained already corrected for interferences.
Los Angeles oxidant data were adjusted for interference in this study to represent

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                                   178


9.4  REFERENCES


1.  E.  A.  Schuck,  A.  P.  Altshuller,  D.  S.  Barth,  and  G.  B. Morgan,  "Relation-
    ship of Hydrocarbons to Oxidants in Ambient Atmospheres,"  Journal  of the
    Air Pollution  Control  Association.  Vol.  20, May 1970.

2.  J.  R.  Kinosian and J.  Paskind, "Hydrocarbons, Oxides of Nitrogen,  and
    Oxidant Trends in the  South  Coast Air  Basin,  1963-1972," California Air
    Resources Board—Division  of Technical Services,  Internal  Working  Paper,

3.  J.  C.  Trijonis, "Economic  Air Pollution  Control Model for  Los Angeles
    County in 1975,"  Environmental Science and Technology, Vol. 8,  p.  811,
    1974.

4.  E.  A.  Schuck and  R.  A.  Papetti,  "Examination  of the Photochemical Air
    Pollution Problem in the Southern California Area," EPA Internal Working
    Paper, May 1973.

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                                   179

         10.0  EMPIRICAL MODELS APPLIED TO DOWNTOWN LOS ANGELES

     Before performing empirical studies for all six cities, it is useful
to conduct an exploratory analysis with the detailed data base for Down-
town Los Angeles.  This exploratory analysis should point out the most
important variables and should indicate the most promising statistical modeling
techniques.  Since meteorological data are available for Downtown Los
Angeles, the effect of including weather variables in the empirical  models
can also be investigated.  It is important to include meteorology, if possible,
to avoid spurious N02/precursor relationships which could result if the pre-
cursors were correlated with weather factors that govern N02 production.
     Section 10.1 describes the various statistical techniques that are
used to investigate the data from Downtown Los Angeles.  Since all these
techniques are applied to the same data base, they all yield similar qualita-
tive conclusions concerning the N02/precursor dependence.  The qualitative
conclusions concerning daytime N02 are presented in Section 10.2. Included
are discussions of the role of NO , the importance of initial conditions
                                 A
(e.g., 5:00 A.M. N02), the apparent role of hydrocarbons, and the effect
including weather parameters.  Section 10.3 presents conclusions concerning
nighttime N02-
     Passing from qualitative conclusions concerning the N02/precursor
dependence to a quantitative model that can be used to predict the impact
of precursor control  is a difficult and tenuous step.  The limitations of
our particular approach (see Section 7.2.4 and Section 10.2.4) imply that
there will be some uncertainty in the quantitative predictions.  Section
10.3 does formulate a predictive model, but this model should at

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                                    180
present be regarded as an educated hypothesis that explains certain observed
phenomena rather than a definitive tool.  The model should be checked by
quantitative comparisons with smog-chamber results and with historical air
quality trends before full confidence can be placed in it.  Such comparisons
will be conducted in later chapters of this report.
10.1  STATISTICAL TECHNIQUES FOR EMPIRICAL MODELING
     This section discusses some of the statistical techniques that were used
to investigate the Downtown Los Angeles data base.  The discussion does not
delve into the statistical theory behind the methods.   Rather, the intent
is to provide a brief description of the techniques and to familiarize the
reader with the type of outputs available to us.
Graphical Technique Using Mid-Means
     In order to provide  graphical illustrations of the relationship between
a "dependent" variable and an "independent" variable, a program was developed
based on a "moving mid-mean" technique.  The solid line in Figure 10.la or 10.Ib
illustrates the output from this program.  In this case, the independent
variable is 6-9 A.M. NOV  (NOX69); the dependent variable is daytime peak
                       A
one-hour N02  (DPKN02).  The plotted values for NOX69 represent the average
of  30 daily measurements  for NOX69, while the plotted values of DPKN02
                   ic
represent mid-means  of corresponding measurements for DPKN02.  A "moving-
window" technique is used which examines the data according to ascending
order of NOX69.  The window  (containing  30 data points) is moved  10 data
points to generate each point on the graph.**  The mid-mean of the dependent
variable (DPKN02) is plotted against the mean of  the 30 data  points for
the independent variable  (NOX69).
      The mid-mean is the average of all values  between  the  25th  and  75th
percentile.
    **
       In some cases with small amounts of data,  the window is  moved only
5 data points in each step.

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                               181
        -i-L,..ili I i , ilililj -U-ilim)lj,.ll.;i|; ;L.
Q.
Q.
 •»
 CM
    S -:
                                        90th Percentlle
              . WINTER
t
 X,
                                                   10th Percentile :
         • : ' 'l"11^! ';i'|inijT
       0       !C      20
                             30      tO      50      63      70      30

                                  NOX69, pphm
Q.
a.
 CVJ
                                              I !  | I I I I |  I I I I P IT
                                          30           »0
                                  NOX69, pphm
    Figure  10.1   Mid-Mean and  Percent!les of Daytime Peak
                   N02 vs.  6-9 A.M. NOX

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                                   182
     Mid-means are used for the independent variable (DPKN02) because they
are less sensitive to outliers than are averages [1].  That there is con-
siderable scatter in the individual values of DPKN02 for any given level
of NOX69 is illustrated by the dashed lines which give the 10th and 90th
percent! les for DPKN02 as a function of NOX69.
 Multiple  Linear Regression
      A  common technique  used  to  investigate the  relationship  between variables
 is multiple  linear  regression.   In essence, multiple  linear regression  com-
 putes coefficients  A and B-, ,...,B   that give  the best  least-squares fit of
 the form
                                A + B-jX-j +  ... + Bnxn                (8)
 for a  dependent  variable  (y) and  independent variables  (x, ,...,x  ).  Since
 application  of the  graphical mid-mean technique  revealed  that many depen-
 dencies  appear linear, extensive  use was made of multiple linear  regression.
 In  some  cases, nonlinearities were  introduced by choosing an independent
 variable in  the  regression as a nonlinear function of precursor variables,
 for instance x = NMHC-NOY or x =  NMHC/NOY.
                        A               A
     The  specific computer program used in this  study was  the SPSS (Statistical
Package  for  the  Social Sciences) multiple regression program.  As well as
using the regression coefficients (A,B1 ..... Bn), we employed the following
outputs from that program:
      •  matrix  of partial  correlation coefficients
      •  total correlation coefficient (R)

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                                   183
     •  percentage of variance explained in the dependent  variable  (R2)
     •  standard error in  the  regression coefficients
     •  F-statistic
     •  residuals of the regression  (y  .   ,  -  y   _,.    )
                                     VJfactual    ^predicted''
Multiple Logarithmic Regression
     In some cases,  multiplicative rather than  additive relationships were
explored.  This was  done by performing a linear regression of the form
                              + B. Jinx. +  ... + B
                                  II          n
or
                                 B1   B2       B
                         y  = A  x]   x2   ... xnn     .                 (9)
In such cases,  the  square of the correlation coefficient measures the per-
centage of variance explained in £ny, not the percentage of variance  explained
in y.  A separate program was written to determine the percentage of  variance
explained in the original dependent variable.
TSC COMPLIAR Program
     The TSC COMPILAR program is a  multivariate nonlinear regression  technique.
It represents the relationship  between the dependent and independent  variables
with continuous oiecewise linear functions (hyperplanes).  Using an iterative
technique, the program selects  hyperplanes that define regions where  certain
characteristic relationships exist.  The iterations are directed at maxi-
mizing the percentage of variance explained  in the dependent variable.
     Figure 10.2 gives an example of output  from the COMPLIAR program.  The
relationship between winter DPKN02  and morning precursors is indicated by

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                                     37
                  Surface of
                  DPKN02, pphm
NOTE:   NMHCPR is an
   estimate of NMHC
   calculated from total
   hydrocarbon measurements
Figure  10.2  Output of  COMPLIAR Program for DPKN02 vs.  NMHCPR and NOX69,  Winter Season

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                                    185
 four hyperplanes.   This particular example is interesting because it repre-
 sents the particular case (winter season and peak N02) where the most
 significant hydrocarbon dependence was found.  For high values  of NO  (or,
                                                                     J\
 more appropriately, for low NMHC/NOXratios), winter DPKN02 appears  to  be quite
 sensitive to hydrocarbons.
      In  this study,  we used the COMPLIAR program to obtain a qualitative picture
 of  the relationships in the data and to check the conclusions yielded by other
 techniques.   The predictive models for assessing control  strategies were based
 on  simpler regression forms.
10.2  DEPENDENCE OF DAYTIME N02ON PRECURSORS
     This section discusses conclusions concerning the daytime N02/precursor
relationship at Downtown Los Angeles.  These conclusions  are based on statis-
tical analyses involving the variables listed in Table 10.1, which serves  as
a glossary for this discussion.  All four statistical techniques described
in the previous section were used to explore the data.  These techniques
were employed with various combinations of the variables and with various
functional forms.
     Since each statistical technique was applied to the same data base,
each yielded the same qualitative conclusions concerning the N02/precursor
dependence.  The qualitative aspects of the findings will be the subject
of this  section.  The  final section of this  chapter will use a  specific
statistical  technique  to arrive  at  a quantitative model.
    The relationship between daytime N02 and precursors turned out to be  very
complex.   For instance, the effect  of hydrocarbons was  different on  average
N02 than peak N02; was dependent on the  season;  and  was  different for  high
NO  levels than for low NOV levels.  The observed dependence on hydrocarbons
  x                       x

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                                     186

was also sensitive to including weather factors in the analysis.  Because
of this complexity and because of the large number of  variables  in-
volved, the investigation of the data was an iterative  learning process.
It is impractical  to describe all of the   specific  analyses  that
          Table  10.1   Glossary of Variables for  the Daytime Analysis
                           (All Hours are in Civil Time)

 Dependent Variables
      DPKN02          Peak  one-hour N02 from 6:00 A.M. to 2:00 P.M. in pphm
      DAVN02          Average N02 from 6:00 A.M. to 4:00 P.M. in pphm

 Independent Variables (Pollutants)

      NOX69            6:00-9:00 A.M.  average NOX concentration  in  pphm
      N025            4:00-5:00 A.M.  N02 concentration  in  pphm  (if the 4:00-
                      5:00  A.M. reading was missing, 3:00-4:00 A.M. or
                      2:00-3:00 A.M. was used)
      INTNO            NOX69-N025, representing overnight NO plus morning
                      injection of NO
      NMHC69          6:00-9:00 A.M. nonmethane  hydrocarbon concentration in pphraC
      HC69            6:00-9:00 A.M. total hydrocarbon  concentration 1n pphmC
      NMHCPR          (HC69-100)/2, approximate  value of NMHC calculated
                      from  total HC concentration
      C069            6:00-9:00 A.M. CO concentration

 Independent Variables (Meteorology)
      HM               calculated daily maximum mixing height
      TM               maximum daily temperature
      RH               minimum relative humidity  (6:00 A.M.-7:00 P.M.)
      WS               average wind speed (9:00-12:00 A.M.)
      SR               accumulated solar radiation (7:00-12:00 A.M.)
      PG               pressure gradient from LAX to Palmdale
      TG               temperature gradient from  LAX to  Palmdale

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                                     187

were performed.  What  follows  is  a selected sample  of results that best
illustrates the  relationships,  and lack of relationships, that exist in
the data.
10.2.1  Morning  Precursor Variables
     The original  intent in  the empirical  modeling  study was to use NOX69
and NMHC69 as  the  morning precursor variables  for daytime N02.  There was
some concern,  however, about the  accuracy  of the NMHC data.  NMHC values
are obtained by  subtracting  methane(CH^) measurements from total hydrocarbon
(HC) measurements.  A  recent study indicates that methane and total hydro-
carbon  data tend to be of uncertain reliability [2].   NMHC values, obtained
by subtracting one uncertain measurement from  another one of comparable
magnitude, are especially suspect.   A  further  problem in the case of Los
Angeles NMHC data  is round-off error.   HC  and  CH^ are both reported only
to the  nearest ppm. Thus, an individual hourly NMHC  measurement can only
assume  values  of 0, 100 pphm,  200 pphm, etc.  This  is an extremely gross
resolution considering that  average NMHC concentrations in Los Angeles are
less than 100  pphm.
     Because of  the concern  about the  NMHC data, total hydrocarbons (HC69)
were also included in  the data base.  If the NMHC data proved of little use,
it might be possible to conduct the analysis with the total hydrocarbon
measurements.
     Another concern was  the colinearity problem with  morning precursor
variables.  The  intercorrelations between  the  precursors might make it
difficult to separate  out the  individual effects of NMHC and NOX on daytime
N02.  To assess  this problem,  C069 was included in  the data base.  This

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                                    188
variable bears no causal relationship to N02, and it is interesting to
determine if the statistical techniques can find that result.
     Table 10.2 illustrates the correlation coefficients between the morning
precursor variables (NOX69, NMHC69,  HC69, and C069).  As expected,  high
intercorrelations exist between the  6:00-9:00 A.M.  concentrations because  the
pollutants tend to rise and fall together, depending on dispersive  condi-
tions.  It is notable that the smallest correlations occur when NMHC is
one of the variables.  As previously remarked, the NMHC data are considered
the least reliable.
     As a test of the relative importance of the variables as N02 precursors,
logarithmic regressions were conducted between daytime N02 (both peak and
average) and pairs of the precursor  variables.  For example, the regression
for DPKN02 vs. NOX69 and NMHC69 was  of the form
                                 B] JlnNOX69 + B2 £nNMHC69
                                      Bl         B?
               or     DPKN02 = A-NOX69 '.  NMHC69 L        .             (10)
Table  10.3  lists the regression coefficients (B, and B2) for each pair of
independent variables.
     Table  10.3 reveals that the coefficient for NOX69 tends to dwarf the
coefficient for any other  variable paired with  it.  In particular, C069 tends
to be  assigned insignificant importance when it is paired with NOX69, even
though C069 is the morning pollutant variable most highly correlated with
NOX69  (see  Table 10.2).  The dominance of NOX69 is not surprising; we
expect daytime N02 to be most strongly dependent on NQX69.  Part of NOX69

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                                 189
Table 10.2  Correlation Coefficients Between Morning Precursor Variables
                                Summer

NOX69
HC69
NMHC
C069


NOX69
HC69
NMHC69
C069
NOX69 HC69 NMHC69
1.00 0.78 0.65
1.00 0.78
1.00

Winter
NOX69 HC69 NMHC69
1.00 0.81 0.74
1.00 0.81
1.00

C069
0.79
0.77
0.66
1.00

C069
0.86
0.81
0.79
1.00

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Table 10.3  Logarithmic Regression  Coefficients  for Pairs  of Morning  Pollutant Variables


Day
Peak
N02



Day
Average
N02

Summer
NOX69 HC69* NMHC69 C069
0.63** 0.05
0.68 0.03
0.67** 0.06
0.44** 0.12**
0.26** 0.50**
NOX69 HC69* NMHC69 C069
0.63** -0.01
0.63** -0.01
0.64** -0.02
**
0.38 0.09**
0.21 0.43**
0.07** 0.50**
Winter
NOX69 HC69* NMHC69 C069
0.50** 0.25**
0.63** 0.04
0.67** 0.15
0.61** 0.09**
0.07 0.66**
NOX69 HC69* NMHC69 C069
0.49** 0.19**
0.60** 0.02
0.62** 0.00
0.55** 0.08**
0.38** 0.35**
0.08** 0.56**
            *In the logarithmic regressions HC69-80 (units are 1n pphmC)  1s used to avoid singularities

             of the logarithm function.

            ^^
             Coefficients significant from zero at 99X confidence level.
                                                                                                                 vo
                                                                                                                 o

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                                     191
is already N02 (which contributes  to the  daytime  peak and average N02),
while the rest of NOX69 is NO  (which is a source  of further N02).  However,
it is encouraging that the regression analysis does discover the importance
of NOX.  This indicates that the interconnections between the variables are
not so high as to make the real precursor (NOX) indistinguishable from the
surrogate (CO).
      For  the  regressions  in  Table  10.3,  the percentage  of variance explained
 in £nDPKN02 and   £nDAVN02 tended  to be  around 55% to 65%  (R = 0.75 to 0.80)
 when  NOX69 was one  of the independent  variables.   When NOX69 was not included,
 the  percentage of variance explained dropped to  around  30% to 50% (R = 0.55
          *
 to 0.70).   This  again  indicates the particular importance of NOX69 as a
 precursor variable.
      Another interesting feature of Table 10.3 is that  HC69 is the only
 variable which appears to retain some importance when  it is  paired with  NOX69.
 In the winter, the HC69 coefficients for both peak and  average N02 are
 highly significant.  The NMHC69 coefficients, on the other hand, are always
 insignificant when N0¥ is included and are small  even when NMHC69 is paired
                      j\
 with HC69  or C069.  This is a further indication that  the NMHC  data for
 Los  Angeles are not as useful  as the HC data for empirical modeling.
      That the dependence of N02 on HC69 is not solely due to interconnection
 with NOX69 can be seen by graphing N02 vs. morning NOX, while stratifying for
 hydrocarbon levels.   Such  plots  (presented  later) show that higher HC69
       The percentage variance explained in the original  dependent variables,
 DPKNO? and DAVN02» was slightly less than,for the logarithms,  typically about
 5% to 10% less.

-------
                                   192


levels tend to yield higher N02 concentrations for fixed values of morning

NOV.  When similar plots are prepared,  stratified by NMHC69, little, if any,
  J\

hydrocarbon effect is evident.   Again,  this is probably a reflection of the

poorer quality of the NMHC data.

      Because  of  the  questions  concerning the  NMHC data,  it was decided to use

 HC69  instead  of  NMHC69  as  a precursor variable for daytime N02.  To allow

 a  basis  for comparison  with other studies  using NMHC data, the HC69 were

 adjusted to be approximately representative of NMHC values.  This new

 variable,  denoted  by NMHCPR, is defined by the formula



                            NMHCPR • HC69  - 10°                       (11)


 with  units in pphmC.;
      *
       A set of field measurements by the California Air Resources Board [3]
 arrived at  a formula,

                         NMHC = HC " c35 •
                                  I .00
 A regression applied with our data base yields the formula

                         NMHC = HC"19 .
We chose the constant "100" in Equation (11)  to avoid negative values of
NMHCPR  (the minimum reported value for HC69 is 100).  The constant "2" in
Equation (11) is somewhat arbitrary; one-digit significance is chosen as an
indication of the uncertainty in that constant.

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                                    193
10.2.2   Importance  of Initial  N02
     The previous section indicated that NOX69 is  an  important variable
in explaining  daytime peak and average  N02.   Part of  NOX69 consists
of N02 leftover from  the  previous night.  This  initial N02 can be
distinguished  from  the remainder of NOX69,which consists of NO leftover
from the night plus the injection of morning  NO emissions.  Since it al-
ready starts out as N02,  initial N02 may have special  significance.
     To examine the importance of initial N02,  NOX69 was split into two variables
N025, N02 at 5:00 A.M., and INTNO,  NOX69  - N025.   Multiple linear regressions
were run of the form
          DPKN02 =  A + B^NOgS + B2 • INTNO     .                          (12)
         (or DAVN02)

The results of these regressions are summarized in Table  10.4.  The high
                                           t\
values for percentage  variance explained  (R*) are encouraging.  These regressions
indicated that both N025 and INTNO are highly significant  (as measured by
the  F-statistic). Thus, it seemed  important  to distinguish initial N02 in
the empirical  modeling analysis.
      •Most of  the regression coefficients (B-j  and B2)  in Table 10.4 make
  sense physically.  Initial  N02 contributes more  to peak N02 than to average
  N02, because  peak  N02 occurs  early in  the daytime period  (i.e.,  closer to
  the time of the N025 measurement).   The  contribution  of INTNO, as measured
  by B7,  is much greater in summer than  winter  because  photochemistry is
     ^                                                                         *
  more active in summer, leading to a  greater  conversion of morning NO into N02-
      The only  result  in  Table  10.4  that  seems  unreasonable is the fact that
 the contribution  from N025  (Bi)  for the  winter peak exceeds 1.0.  However,
 it is only slightly in excess  of unity.

-------
                                     194
       The  regressions  according to Equation (12) also demonstrate that the
 constant "A"  is  substantial.   This constant might be considered a measure
 of the amount of daytime N02  that is not relatable to N025 or to INTNO, such
 as N02 resulting from  post 9:00 A.M. emissions.
           Table 10.4  Values  of A, B^and B2 for Regressions
                       According to Equation
                               A              B1               Bz
                         (Constant Term)   (NOgS Coefficient)  (INTNO Coefficient)
WINTER
DPKN02
DAVN02
SUMMER
DPKN02
DAVNOp

0.75
0.83

0-77
0.80

0.57
0.68

0.60
0.64

0.2 pphm
0.6 pphm

2.5 pphm
2.3 pphm

1.18
0.83

0.78
0.53

0.18
0.11

0.43
0.21
      To check whether daytime N02 (peak or average) actually  depends  on
INTNO in a linear fashion, the contribution of "nonrelatable"  N02  (the con-
stant A) and the contribution of initial N02 (B,• N025) were subtracted from
total daytime N02 to yield "residual daytime N02,"

      Residual  Daytime N02 =  Daytime N02 - A -  B|-N025.                   (13)
This was plotted vs.  INTNO using the mid-mean graphical  technique.  The
results for winter are shown  in Figure  10.3, and for summer; in Figure 10.4.
These graphs indicate that the dependence of daytime NOp (both peak and average)
on INTNO is  essentially  linear.

-------
                     195
             20
 30     40

INTNO, pphm
50
T
60
                                                 70
Figure 10.3   Dependence of Residual Daytime  N02
              on  INTNO (NOX69 - N025), Winter Season

-------
                              196
 O-
 Q.
 evi
 o
 ro
 3
 T3
       20 _
       15-
       10.
        5-
                   I

                   10
 I

20
        30

INTNO, pphm
 I

40
50
i
o.
0.
 CM
O
>o
3
•o
«r-
tn
                           INTNO, pphm
         Figure 10.4  Dependence of  Residual  Daytime
                       N02  on INTNO  (NOX69 - N025),

                       Summer Season

-------
                                    197
10.2.3  Dependence of Daytime N02 on Hydrocarbons
     The dependence of daytime N02 on hydrocarbons at Downtown Los Angeles
was investigated using all  four statistical techniques:  graphical analysis,
linear regression, logarithmic regression, and TSC's COMPLIAR program.  These
techniques consistently pointed toward several general conclusions:
     0  For  fixed NOX69 (or for fixed INTNO), hydrocarbons appeared to be
        positively related  to peak and average daytime N02; i.e., hydro-
        carbon  reductions would tend to  decrease both peak and average
        daytime NOp.  However, the hydrocarbon dependence was of
        secondary importance compared with the NOX dependence.
     •  The  hydrocarbon dependence is greater for peak N02 than for average
        N02.
     •  The  hydrocarbon effect appears to be greater in winter than in
        summer.
     •  The  hydrocarbon effect is greater at high NOX levels
         (NOX69  * 20  pphm)  than at low NOX levels.

    Some  of  these conclusions are illustrated in Table 10.5. Table 10.5
 lists the hydrocarbon  regression coefficient for logarithmic regressions of
 daytime N02  vs. NOX69  and  HC69.  The data are split by season and for
 NOX69 <  20 pphm and  NOX69  * 20 pphm.  The regression coefficients for HC are
 greater for  DPKN02 than for DAVN02; are  higher in winter than in summer; and
 are negligible  for NOX69 <  20 pphm.

-------
                                    198
 Table 10.5  Hydrocarbon Regression Coefficient for Logarithmic Regressions
             of Daytime N02 vs. NOX69 and HC69 *

NOX69 < 20
NOX69 > 20
WINTER
DAY PEAK N02
DAY- AVG. N02
0.04
0.04
0.61**
0.45**
SUMMER
DAY PEAK N02
DAY AVG. N02
0.01
-0.03
0. 30**
0.13**
         *Actually, the variable (HC69-80)  is  used for logarithmic regressions.
        **Significant at 95% confidence level.
     It is encouraging to note that these results agree qualitatively with

recent smog-chamber tests and with expectations based on theoretical  argu-

ments.  A smog-chamber study of the N02/precursor dependence[4] indicated

that both peak and average N02 were related positively to hydrocarbon input,

that the hydrocarbon dependence was secondary compared with the NOV dependence,
                                                                  /\

and that the effect of hydrocarbons was relatively greater at higher values

of initial NOX.  Physical arguments have been advanced that hydrocarbon re-

ductions would decrease peak N02 more than average N02 [5] and that the

hydrocarbon effect should be greater in winter than in summer[6].
      It has also been argued that (for fixed NOX) morning hydrocarbons should be
negatively correlated with N02 levels late in the day.  As will be shown later,
this effect is also evident in the aerometric data.

-------
                                     199
     For investigating the  hydrocarbon dependence quantitatively, it seemed
best to use residual daytime N0£  (as defined  by  Equation  (13) as the depen-
dent variable.  The contribution  of  initial N02  and of N02 not directly re-
latable to 6:00-9:00 A.M. precursors would already be subtracted out.  We would,
in effect, be examining the extra N02 brought about by INTNO and NMHCPR.
     In Figures 10.5 and  10.6,  the effect of  hydrocarbons is taken into
account by plotting residual N02  vs. INTNO, with the data stratified by
hydrocarbon  (NMHCPR)level.  Figure 10.5  is for winter, while Figure 10.6 is
for summer.  The  vertical distance between the curves represents the impact
of hydrocarbons on daytime  NO,,.   These results show graphically some of the
conclusions  alluded to earlier: The  hydrocarbon  effect is of secondary impor-
tance, is greater for the daytime peak than the  daytime average, and is
 greater  in  winter than  in summer.
     An alternative way of  examining the  effect  of hydrocarbons is to use
the hydrocarbon-to-N0tf ratio, NMHCPR/NOX69.   Figures 10.7 and 10.8  give
                     A
plots of residual N02 vs. INTNO,  with the data stratified by the hydrocarbon-
to-NO  ratio.  These plots  are  interesting because they indicate that residual
     A
daytime N02 may be proportional to INTNO, with the proportionality constant
depending on the  hydrocarbon-to-NOx  ratio.
      Our hypothesis is that morning hydrocarbons (NMHCPR) impact daytime
 N02 by governing the amount of INTNO converted  to N02.   In effect,  the
 constant "B2" in Equation  (12) depends on hydrocarbons.   After consider-
 able thought, it was decided that an appropriate way to quantify the

-------

8_
E
CL
Q.
CXJ 6 _
O
z:
Q.
O
Residual
ro -p»
1 1

(
8
6 _
0.
•k
00 .
o 4 -
1
1 2 "
0
0
200
I I 1 1 1 i
245 pphmC
.*
/
.* * «**« *
•" *•*
x 140 pphmC
Aj' v v'A'vX
f\r^\^ 70 pphmc
i i ,i ii i
3 10 20 30 40 50 60 7C
INTNO, pphm
I 1 1 1 1 1

.....•••'' 245 pphmC
/
,<"^140 pphmC
A />>-->:'" .^.//"
v- v'
/ y — • 	 70 pphmC
1 1 1 1 1 1
10 20 30 40 50 60 /




—

!

)

^4*

•!•

M>|

'0
                     INTNO, pphm

Figure 10.5  Residual  Daytime N02 vs.  INTNO at Various
             Hydrocarbon Levels,  Winter Season

-------
                                  201
   20
Q.   15
o.
•o
OJ
    10 H
     5-4
                                    -•-119 pphmC
                       55 pphmC
                                                    220 pphmC
                    10
~T           ~F
 20          30
 INTNO, pphm
                                                       "T"
                                                       40
50
    10
     8j
 a.
 a.
 fM
O

 TO
         119 pphmC
                    10
20           30

  INTNO, pphm
                                                        220 pphmC
                                                       40
       Figure  10.6  Residual Daytime N02  vs.  INTNO at Various
       ngure  iu.    Hydrocarbon Levels, Summer Season

-------
                                   202
Q.
0.
 CM
O
to
3
"O
• r-
l/)
O)
oc
     12-
     10-
8_
      6_
4-
      2_
       NMHCPR
       NOX69
                   = 8.6
                  \
                 10
                           T
                      1
                      20
     I
    30

INTNO,  pphm
40
 I
50
60
 O.
 O.

 •«
 C\J
 O
     4 -
 t/1
 oi
a:
                                                NMHCPR
                                                 NOX69
                                                 = 2.7
                  I
                 10
                       I
                      20
     I
    30

INTNO, pphm
 I
40
 I
50
 60
       Figure 10.7  Residual  Daytime N02 vs.  INTNO at Various
                    Hydrocarbon-to-NO   Ratios,  Winter Season

-------
                           203
15-
10-
 5-
              NMHCPR
              1TOX69" "\10.8
                                    r
                              20   .25
                            INTNO, pphm
                           T~
                            30
        35     40
 6-
 4-
 2-
               10.8
                                ^
  5.2

   V
                NHHCP.R  *
                NOX69 " z-7
                                   r
                                   25
 10
15    20

    INTNO,  pphm
30    35
                                        40
Figure 10.8
Residual Daytime N0? vs.  INTNO  at  Various
Hydrocarbon-to-NOx  Ratios,  Summer Season

-------
                                      204



  hydrocarbon dependence would be to conduct a linear regression,



                    y = CQ + C]x1 + C2x2,                             (14)





  with              y = DPKN02 - A - B] •  N025  - B2« INTNO              (14a)


                        (or DAVN02)




  as the dependent variable (A, B-,, and B2 taken from Table 10.4) and with
                         x] =  [RATIO - RATIO] • INTNO                (14b)





                 and





                         *2=  [NMHCPR - NMHCPR] • INTNO              (14c)







  as the two independent variables.*  The x, term allows the conversion of



  INTNO to depend on the hydrocarbon-to-NO  ratio.  Noting that NMHCPR is
                                          /\


  just RATIO • NOX69, we can see that the x2 term allows the effect of RATIO



  to change with the level of NOX69.



       The regression according to Equation (14) will yield a constant term,



  CQ, and two regression coefficients, C, and C2>  The predictive equation for



  daytime N02 would then be









  DPKN02  =  (A + Cfl)  + B1 • N025 + INTNO - [B'2 + C,-RATIO + C2 - NMHCPR] ,


(or  DAVN02)                                                           (15)




  where                B2 =  B2  -  C].RATIO -  C2 • NMHCPR





  As will  be shown in Section  10.4, this regression form is convenient for



  estimating the effect of precursor control on daytime N02.
       RATIO = NMHCPR/NOX69.   The "" represents average values.

-------
                                     205
      The reader may note that it would seem equivalent to run linear regres-
 sion with daytime N02  (peak or average) as the dependent variable and with
 N025, INTNO, INTNO • RATIO, and INTNO • NMHCPR as four independent variables.
 However, the last three of these independent variables are highly inter-
 correlated (partial correlation coefficient = 0.9) because they all  involve
 the parameter INTNO.   Because of this intercorrelation, it would be dan-
 gerous to attach physical meanings  to the relative sizes of the regression
 coefficients.  In particular, the existence of a real hydrocarbon effect
 from the INTNO • RATIO  and INTNO • NMHCPR variables would be in doubt because
 these variables are highly correlated with the INTNO variable, which includes
 no hydrocarbon dependence.  The method we have chosen (Equation (14)) re-
 stricts the problem of intercorrelation to only two terms (x, and x2), both
 of which involve hydrocarbons.*  Thus, although some doubt remains as to
 the relative importance of these two terms, we avoid confounding of terms
 which involve hydrocarbons with terms which do not involve hydrocarbons.
      Table 10.6 presents the results of stepwise regressions  according to
 Equation (14).  For each case (summer vs.  winter and peak vs.  average),  the
 F-statisties indicated that both INTNO • RATIO and INTNO •  NMHCPR are
 significant at a 95% confidence level.   The results show a  positive
 hydrocarbon effect that is greater  for DPKN02 than for DAVN02.
       It is interesting to note that the variables NMHCPR and RATIO are
not highly intercorrelated (correlation about 0.2).  However, when both
variables are multiplied by INTNO, the correlation rises to about 0.9.

-------
                             Table 10.6  Results of Stepwise Regressions According

                                         to Equation (14)  or (15)
Dependent
Variable
WINTER
DPKN02
DAVN02
SUMMER
DPKN02
DAVN02
Total
Correlation
Coefficient
R
0.78
0.84
0.79
0.81
Percentage
Variance
Explained
R2
61%
71%
62%
65%
Constant
Term
A + C0
0.54
0.64
2.81
2.42
N025
Coefficient
Bl
1.18
0.83
0.78
0.53
INTNO
Coefficient
B2
-0.05
0.00
O.T7
0.13
INTNO NMHCPR
INTNU. NQX69
Coefficient
Cl
0.029
0.015
0.027
0.009
INTNO. NM'HCPR
Coefficient
C2
0.00040
0.00018
0.00043
0.00011
*Units of all variables are in pphm.  Note that all  regression coefficients  are  significant from zero
 at a 95% confidence level.

-------
                                    207
     Table 10.6 also shows  the  percentage variance explained (R2) for the
entire predictive equation.  The  high  percentage variance explained is en-
couraging considering  the potential errors  in  aerometric data and the fact
that transport has been  neglected in the analysis.
10.2.4  The Effect of  Including Weather Variables
      For daytime N02  in Downtown Los  Angeles, data  are available for seven
meteorological parameters:   maximum mixing  height  (HM), maximum daily tempera-
ture  (TM), 9:00-12:00  A.M.  wind speed  (WS), minimum  relative humidity (RH),
7:00-12:00 A.M. solar  radiation (SR),  pressure gradient from LAX to Palmdale
(PG), and temperature  gradient  from LAX to  Palmdale  (TG).  By including these
variables in  the empirical  modeling analysis,  an investigation can be made of
the possibility that the observed relationships between the precursor variables
and daytime NO^ are spurious.   Spurious relationships could result if a
precursor variable were  highly  correlated with the weather parameters that
govern the amount of N02 produced from the  precursors.  In such a case, the
precursor variable might act as a surrogate for the  weather variables.
      To determine the most important  meteorological parameters, logarithmic
regressions were run between daytime N02 and the seven weather variables.
Table 10.7 summarizes  the results of these  regressions.  This table indicates
that  there are three key weather  variables  in  winter (HM, TM, and WS), while
there are only two key weather  variables in summer  (HM and TM).  The signs
of the dependencies are  as  expected, negative  for HM and WS and positive for
TM.

-------
                                     208
     The logarithmic regressions  with weather variables were  also  run
according to a stepwise procedure.   The  stepwise  regressions  produced
similar conclusions; i.e.,  HM,  TM and WS are  the  three important variables
in winter, while HM and TM  are  the two important  variables  in summer.
 Table 10.7  Results  of  Logarithmic Regressions Between Daytime N02 and
             Weather  Variables

Correlation .Coefficient, R,
for Logarithm of Daytime NO?
Percentage Variance Explained
in Logarithm of Daytime N02,
R2
Meteorological Variables
HM
TM-45
WS
RH
SR
PG+40
T6+20
WINTER
DPKN02 DAVN02
0.72 0.73
52% 53%
SUMMER
DPKN02 DAVN02
0.65 0.55
42% 30%
Logarithmic Regression Coefficients
-0.54** -0.53**
0.58** 0.46**
-0.59** -0.57**
0.08 0.05
0.20* 0.13
0.00 0.00
-0.02 0.05
-0.48** -0.34**
0.66** 0.50**
0.06 -0.08
-0.27* -0.15
0.06 0.03
0.00 0.00
0.00 0.00
          *Significant  at 99% confidence level
         **Significant  at 99.99% confidence level

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                                     209

     An interesting result of  the weather regression analysis is that
temperature has very high significance, while solar radiation is of little
significance and wind speed  is  important only in winter.  The importance
of TM can be partially explained by  the hypothesis that elevated tempera-
tures enhance the photochemical reactions that convert NO to N0?.  It is
also possible that the variable TM encompasses some of the effects of WS
and SR.  Table  10.8 lists the  linear correlation coefficients among the
meteorological  variables.  This table  shows  that TM is negatively correlated
with WS and positively correlated with SR.   Thus,TM may partially act as
a surrogate for WS and SR.
     It is notable that  the  explanatory capability of all seven weather
variables combined tends to  be less  than that of the two precursors, NOX69
and HC69.  Table  10.7 indicates that the meteorological variables explain
30% to 52% of the variance in  the logarithm  of the daytime N02-   Logarithmic
regressions of  daytime N02 vs.  the two precursor variables (as summarized
in Table 10.2)  explain 58% to  65% of the variance.*  This conclusion  was
supported by other types of  regressions.  The nonlinear regression program,
 COMPLIAR, explained  about 30% to  40% of the  variance in daytime N02 in terms of
 the  two  or  three key weather variables.   However,  COMPLIAR was able to explain
about 60% to 70%  of the  variance  in  daytime  N02 in terms of N025, INTNO, and
NMHCPR.
that for the logarithmic regressions, the percentage  variance
                                                           -
         oe    a
explain  SnKN    (orv)  was  about  5%  to  10%  less than the percen-
tage  variance explained in ZnDPKN02  (or *nDAVN02).

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                                     210
Table 10.8  Linear Correlation Coefficients Between Weather Variables and
            Precursor Variables
WINTER
HM
HM 1.00
TM
WS
RH
SR
TG
PG
NOX69
NMHCPR
TM WS RH SR
-0.00 0.25 -0.26 0.36
1.00 -0.31 -0.54 0.39
1.00 0.10 0.12
1.00 -0.64
1.00





0
0
-0
-0
0
1



TG
.13
.27
.15
.46
.28
.00




-0
-0
0
0
-0
-0
1


PG
.02
.68
.29
.68
.41
.64
.00


NOX69
-0
0
-0
-0
0
0
-0
1

.16
.36
.34
.32
.10
.19
.39
.00

NMHCPR
-0.
0.
-0.
-0.
0.
0.
-0.
0.
1.
32
40
39
21
03
08
34
80
00
SUMMER
HM
HM 1.00
TM
WS
RH
SR
TG
PG
NOX69
NMHCPR
TM WS RH SR
-0.31 0.08 -0.23 -0.03
1.00 -0.20 -0.45 0.38
1.00 -0.02 0.27
1.00 -0.50
1.00





0
-0
0
-0
0
1



TG
.67
.20
.14
.36
.01
.00




-0
-0
0
0
-0
-0
1


PG
.16
.58
.03
.62
.36
.48
.00


NOX69
-0
0
-0
-0
0
0
-0
1

.04
.46
.04
.40
.29
.12
.50
.00

NMHCPR
-0
0
-0
-0
0
0
-0
0
1
.22
.53
.08
.35
.19
.34
.46
.78
.00

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                                      211
     To investigate whether  inclusion of  the meteorological parameters in
the empirical modeling analysis would affect the observed relationships
between daytime N02 and the  precursor variables  (i.e., to check whether the
observed N02/precursor relationships  might  be  spurious), two tests were
used.  The first test was  based on  "weather discounted" dependent variables.
Weather effects were subtracted by  defining new dependent variables as
DPKN02/DPKN02 and DAVN02/DAVN02> where DPKN02  and DAVN02 are predicted
values based on various weather regression  formulas.  In one case, stepwise
logarithmic weather regressions were  used to define DPKN02 and DAVN02-  This
analysis indicated that N025 and INTNO retained their significance as pre-
cursor variables, but that hydrocarbon variables (NMHCPR or NMHCPR/NOX69)
                                          *
lost their apparent positive effect on N02.  In a much more general analysis,
                                               /s.          /\
COMPLIAR regressions were  used to determine DPKNO/, and DAVN02, and further
COMPLIAR regressions were  then run  between  the weather discounted variables
and the precursors.  This  general analysis  indicated that hydrocarbon
variables, as well as N025 and INTNO, retained their importance.
      The second test was  to  include  the  significant weather parameters  as
 independent variables in  various regressions  that had previously been run
 with precursor variables  only.  It was found  that these new regressions,
 with weather added, attributed about the same importance to NOX  variables
 (such as N025, INTNO, or  NOX69) but  reduced the importance assigned to
       There was reason to suspect the method based on the simple logarithmic
 regressions.  The residuals of the logarithmic weather regressions contained
 a strong bias.  It is possible that this bias could serve to mask the hydro-
 carbon dependence.

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                                     212
hydrocarbon variables (such as NMHCPR and NMHCPR/NOX69).  For instance,  Table
10.9 shows the effect that including weather variables has on the hydro-
carbon coefficients in the linear regression according to Equation (14).  it
is  apparent that inclusion of weather parameters reduces  the size of the
hydrocarbon coefficients  (especially.in summer).
     All  in all, the  results of including weather variables  in the empiri-
cal  modeling  analysis are inconclusive.  On one hand, it  can be contended
that the  observed effect of hydrocarbons is partly spurious.  The hydro-
carbon effect may be  overstated because of intercorrelations between hydro-
carbons and the weather factors governing N02 production, especially TM
 (see Table 10.8).  On the other hand, the observed hydrocarbon effect may
be  real.  A plausible argument can  be made that including weather factors
in  the statistical analysis  could  mask the actual effect of hydrocarbons.
It  is encouraging that the most general method of including weather variables
 (using the COMPLIAR program) retained the significance of hydrocarbons.
     Perhaps  the best use of the analyses with weather factors is to place
a caveat  on our results.  We will proceed with the empirical model (e.g.,
Equation  (15)  that was derived without including weather variables.  How-
ever, the possibility should be kept in mind that this model may overstate
the relationship between hydrocarbons and N02.  This caveat stresses the
need to conduct quantitative checks of the empirical model against smog-
chamber results and against historical air quality trends.

10.3 DEPENDENCE OF NIGHTTIME N02 ON PRECURSORS
     The  second part  of the empirical study for Downtown  Los Angeles involves
the dependence of nighttime N02 on  precursors.  The  dependent variables  for
the nighttime period  are night peak one-hour N02  (NPKN02) and night average

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Table 10.9  Effect of Including Weather Variables in the
            Linear Regressions According to Equation (15)
Dependent Variable
WINTER
DPKN02

DAVN02

SUMMER
DPKN02

DAVN02


Without Weather
(With Weather)
Without Weather
(With Weather)

Without Weather
(With Weather)
Without Weather
(With Weather)
Ci, Coefficient
1 n£ NMHCPR
UT NOX69

0.029
(0.028)
0.015
(0.013)

0.027
(0.015)
0.009
(0.003)
C2, Coefficient
Of NMHCPR

0.00040
(0.00034)
0.00018
(0.00013)

0.00043
(0.00015)
0.00011
(0.00005)
                                                                                  ro
                                                                                  CO

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                                    214
N02 (NAVN02) as defined in Section 9.3.   The two basic precursor variables
are: 4:00-7:00 P.M.  NOX (NOXPM)  and 2:00-4:00 P.M.  (O/FT).
     The analysis for the nighttime period turned out to be  much more straight-
forward than the analysis for the daytime period.  The main  reason for this
was the insigificant correlation between  the nighttime precursor varibles;
the correlation coefficient between NOXPM and OgAFT was only about - 0.07'.
This resulted in a simplification over the daytime case which had involved high
correlations between the independent variables.
     Taking a hint from the daytime analysis, we decided to  include initial
                                           *
conditions by dividing NOXPM into two parts :
                               N0216 = N02 at 3:00-4:00 PM
and
                               NITENO = NOXPM - N0ol6
 To  investigate the N02/precursor dependence, simple linear regressions were
 run of the form

           NPKN02 = A + B^NOglG + B2'NITENO + B3«03AFT   .              (16)
          (or NAVN0)
      The correlations of 03AFT to both these parts were small.

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                                        215


As summarized in Table 10.10,  these regressions produced excellent results.

The multiple correlation coefficients ranged  from 0.76 to 0.90  (variance

explained = 58%  to 81%), and the regression coefficients for  all  three in-

dependent variables were highly significant.  The most significant variable,

as measured by the F-statistic,  was N0216.
      Table 10.10  Results  of Nighttime  Regression Analysis  According to
                    Equation (16)*
Dependent Variable
WINTER
NPKN02
NAVN02
SUMMER
NPKN02
NAVN02
Multiple
Correlation
Coefficient

0.90
0.84

0.85
0.76
Percentage
of Variance
Explained

81%
70%

72*
58%
Regression Coefficients
CONSTANT NO,! 6 NITENO OoAFT
A B^ B2 B3

-0.24 0.92
1.23 0.58

0.70 0.88
0.65 0.59

0.29 0.31
0.12 0.16

0.51 0.09
0.38 0.08
         *Units of all pollutant variables are 1n pphm.
         **A11 three independent variables were highly significant in each case.  All
      t values were greater than 6,  I.e.. ^-statistics weregreater than 36. An F-
      statlstlc of 4 Is necessary for a 95* significance level.

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                                     216
     To obtain a better understanding of the form of the relationships, residual
nighttime N02 was calculated according to

     Residual Nighttime N02 = Nighttime N02 - A - B^NOglG              (17)

and plotted vs. NITENO.  Figures 10.9 and 10.10 illustrate such plots for
winter and summer, respectively.  These graphs indicate that the form of
the dependence on NITENO is approximately linear (note that the fluctuations
in the graphs are due to statistical  noise).
     Figures 10.11 and 10.12 present similar plots stratified by the level
of afternoon ozone.  For fixed ozone level, the dependence of residual N02
on NITENO tends to be approximately linear.  There is, however, an obvious
shift from one ozone level to the next.  To account for a linear dependence
on NITENO that shifts with the ozone level, regressions were run of the form
      NPKN02 = A + B^NOgie + NITENO-(B2 + B3-03 AFT)                  (18)
             = A + B1.N0216 + B2-NITENO + B3'NITENO-03 AFT  .

These regressions did yield some improvement in percentage variance explained
over Equation (18); the results are summarized in Table 10.11.   This par-
ticular regression form will be used in the predictive models formulated in
the final section of this chapter.
     There is a potential problem in the regression form represented by
Equation  (18).   The last two terms are intercorrelated because they both
contain the variable NITENO.  However, the intercorrelation is not extremely

-------
                             217
Q.
Q.
 CM
O
 «O
&
 esj
O
2:
res
3
TO
                           10        15

                           NITENO, pphm
20
25
       Figure 10.9   Residual  Nighttime N02 vs. NITENO,
                     Winter Season

-------
                           218
       3_
  Q-
  Q.
   CVJ


  1    *•
  r—
  
-------
                              219
  0.
  0.
   CM
  O
  <0
  O)
  oc
       5J
       21
                  .0,AFT =11.3
                  »...„
                        /\ /   ^O-AFT = 5.
                                           2.0 pphm
                           10
                 15
                           NITENO,  pphm
20
25
   CM
  O
       3  _
/VOAFT = 11.3
           03AFT « 5.0
                                                2.0 pphm
                                                      25
Figure 10.11  Residual  Nighttime NO, vs.  NITENO at Various
              Afternoon Ozone Levels, Winter Season

-------
                             220
 Q.
 OL
 CM
 I/I
 a;
 oe
      4-
      3-
      2 -
      1 ~
              0-AFT - 17.3
                               OgAFT - 3.8 pphm
                        I        i        i

                        234

                            NITENO, pphm
     3  -
     2 -
 CNJ
     1 _
 1/1
                '3AFT = 17.3
03AFT«3.8pphm
                        I       I        1

                        2       3        4

                             NITENO, pphm
Figure 10.12  Residual  Nighttime N02  vs.  NITENO at Various

              Afternoon Ozone Levels, Summer Season

-------
                                      221
high (about 0.6).   Also, the relative importance assigned to the oxidant

term in Equation  (18)  turns out to be about the same as in Equation (16)

(which did not  involve the colinearity difficulty).  Thus, the inter-

correlation does  not appear to affect the results in Table 10.11 significantly.

     The results in Table 10.11  indicate that at least three variables are

important in explaining  nighttime N02 concentrations,  the initial N02  (N0216),

the remainder of NOXPM (NITENO), and afternoon oxidant (OgAFT).   To construct

a model relating  nighttime NO? to primary precursors (NOY and NMHC), an
                              t»                          A
assumption must be  made  concerning the dependence of O^AFT on primary  precursors.

This assumption will  be made in Section 10.4.


Table 10.11  Results  of Nightrfetme Regressrron Analysis  According  to  Equation  (18)*

Dependent Variable
WINTER
NPKN02
NAVN02
SUWER
NPKN02
NAVN02
Multiple
Correlation
Coefficient

0.91
0.84

0.86
0.77
Percentage
of Variance
Explained

82%
71*

73%
60%
TC
Regression Coefficients
INSTANT N0216 NITENOJ NITENO. OoAFT
A B.J B2 I B3

1.38 0.91 0.09 0.052
2.08 0.57 0.02 0.026

1.51 0-89 0.19 0.036
1.34 0.59 0.13 0.028
   *Un1ts of all  pollutant variables are 1n pphm.

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                                      222
      There  is  one  other  subtlety  in  the  nighttime  analysis,  the dependence of
 N0216 on  the primary precursors.   The  simplest  assumption  would be  that N0216
 is  proportional  to NOY.   However,  theoretical reasoning  [5]  and smog-chamber
                      /\
 evidence  [4] indicate that  N02  late  in the  day  should bear an inverse rela-
tionship with hydrocarbons or with the  hydrocarbon-to-NOX ratio.  An in-
verse relationship should exist  because hydrocarbon reductions can suppress
 the photochemical  reactions  that consume N02 after it has  reached a peak
 (see Figure 7.6).   This  effect might also account  for our  conclusion  that
 day peak N02 is  more sensitive  to hydrocarbon reductions than is day  average
 N02.  To test  for this  effect,  we ran  a  linear  regression  for each  season
 between N0216  and the morning hydrocarbon-to-NOX ratio.   The results  were  as
 follows:
      Winter:        N0216 =9.7 pphm  1- 0.025
                                                                         (19)
      Summer:        N0216 = 6.7 pphm I 1-  0.018 ^59
 The  dependence of N0216 on the hydrocarbon-to-NOx ratio was very significant
 (as  measured by  the F-statistic) for both summer and winter.
      It  is possible that Equation  (19) does not actually represent a causal,
 photochemical relationship between afternoon N02 and the hydrocarbon/NOx ratio.
 Rather,  the observed relationship may be an artifact produced by the positive
 correlation which exists between N0216 and NOX69 and, in turn, the negative
 correlation which exists between NOX69 and NMHCPR/NOX69.  We will assume that
 the relationship is causal and will include Equation (19) in the predictive
models developed in the next section.  This assumption is not very critical
because the effect represented by Equation (19) is not one of the dominant
aspects of the predictive models.

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                                       223
10.4  PREDICTIVE MODELS FOR  DOWNTOWN  LOS  ANGELES
     The previous two sections  analyzed aerometric  data  for N02 and its precur-
sors and discussed general conclusions concerning the  N0,/precursor dependence.
                                                         fm     ' ----"--— -*••—•' —	—	—'	"	 '	—J -
The important precursor variables were identified,  and their impact on N02 con-
centrations  was illustrated using  graphical  techniques  and regression equations.
The present  section  develops empirical models which predict the impact that pre-
cursor control  would have  on N02 concentrations  in  Downtown Los Angeles.  These
models are based on  a combination of  the  regression equations with certain simple
physical assumptions.
      The empirical  models formulated here are directed  toward the question:
If  hydrocarbon  and NO   concentrations in  Downtown Los  Angeles are changed by
                     /\
certain  amounts,  how would peak and average N02  concentrations change?  Our
answer to this  question implicitly assumes that  the general diurnal pattern
of  the precursor  concentrations is not drastically  altered when overall pre-
cursor levels are changed.  Also, the empirical  models do not address the
question as  to  how precursor emission changes are related to precursor concen-
tration  changes.  That  is  a  separate  problem which  can be answered by diffusion
models for the  primary  contaminants,  or by rollback models if the spatial
distribution of emissions  is assumed  constant.
      It should be emphasized that the empirical models  formulated below
are based on N02/precursor relationships  observed when weather variables are
not included in the  analysis.   As noted earlier, the inclusion of weather
variables indicates  that the observed hydrocarbon effect might be partially
spurious.  Thus,  it  is  possible that the  quantitative  models presented here
may overstate the real  effect of hydrocarbons.
     Considering  the limitations in our approach and the potential for spurious
relationships in  the regression equations, we are,  in  a  sense, stretching  our

-------
                                      224
results by formulating predictive models based on the regressions.  However,
the reason for extending the results is not to derive a quantitative tool that
is ready for application without qualifications to control strategy analysis.
Rather, the reason is to put our conclusions in a form that can be checked
quantitatively by comparison with historical air quality trends and with pre-
dictions of smog-chamber models, and to provide control guidelines that are
consistent with observations of aerometric data.
10.4.1  Predictive Model for Annual  Mean N02
      The model for annual mean N02 must be constructed from submodels  for  the
two seasons and the two times of day.   Because of the  importance  of initial
conditions,  these submodels must include linkage between  the  daytime and
nighttime periods.   The following discussion  will  first deal  with  each  of
the four submodels  individually.   These submodels  will  then be synthesized
into a single predictive model  for annual  mean  N0?.
      Daytime Average N02,  Winter Season
      Section 10.2.3 developed  regression  formulas which  indicated the  depen-
dence of daytime average NO,, on precursors.   The winter regression formula
(summarized  in Equation (15) and Table 10.6)  included four terms,
     DAVNO- =  0.64 +  0.83NOo5 + INTNO 0.015'^^+0.00018 NMHCPR
          £                C.         \      liV/AO.7                 I
                                                                 J
            =  0.64 + 0.83N025 +0.015 INTNO-        +0.00018 INTNO-NMHCPR,    (20)
  with all  pollutant variables in units of pphm.
       Substituting in average pollutant values for the winter season
  (N025 = 6.6 pphm, NOX69 = 30.1 pphm, INTNO = 23.5 pphm, and NMHCPR = 149 pphm),

-------
                                      225
 this equation yields
                        1         II         III        IV
      DAVN02  =       0.64   +  5.48  +   1.74   +   0.63                 (21)
                      8.49 pphm
 for the mean value of daytime average N02  in the winter season.  As expected,
 this is close to the actual winter daytime mean of 8.54 pphm.
      A predictive model for daytime  average N02 can be formulated by making
 assumptions as to how each of the four  terms in Equation (21) will change
 when the precursors, NOX and hydrocarbons, are controlled.  We will make the
 following assumptions:
 Term I:  This is the remainder term  that we did not explain in terms of
          NOX69 and NMHCPR.  It is presumably due to factors (such as postr
          9:00 A.M. emissions) that were not accounted for in  our analysis.
          Fortunately, this is not a  large  term, and our assumption will
          not be critical.  We will make the simple assumption that it is
          directly proportional to NO control and independent of hydrocarbon
                                      X
          control.
Term II:  This is the initial N02 term.  It will depend on the effect that
          precursor control has on overnight N02>  Thus, it requires a coup-
          ling with the nighttime models.  As will be shown later (Table 10.14),
          nighttime average N02 is proportional to NOX control and essentially
          independent of hydrocarbon  control  Thus, we conclude that initial
          N02 should be proportional  to NOX control and independent of hydro-
          carbon control.

-------
                                      226




Term III:  As indicated by Equation (20), this term involves the precursors in



          the form INTNO-NMHCPR/NOX69.  The effect of NOX control on this term



          should be zero, a cancelling of proportionality between INTNO in the



          numerator and NOX69 in the denominator.  Thus, this term should be



          directly proportional to hydrocarbon control.



Term IV:  As indicated by Equation (20), this term involves INTNO-NMHCPR.  Thus,



          it should be proportional to the product of NO  and hydrocarbons.
                                                        X




      With these assumptions, we can calculate the effect that given amounts of



 precursor control will have on daytime average N02 in the winter season.  For



 instance, assume we control NO  by 20% and hydrocarbons by 50%, then the four
                               A


 terms would change as follows:



          I: 0.64 x 80%              0.51



         II: 5.48 x 80%              4.38



        III: 1.74 x 50%              0.87



         IV: 0.63 x 80% x 50%        0-25
             New Daytime Average  =  6.01



             Percentage Change    =  6'°V *j'49   = -29%
                                         O • ^i/




      Using this method, we can calculate the impact that various degrees



 of precursor control have on daytime average NOp in the winter season.



 Table 10.12 presents the results in terms of percentage changes in winter



 daytime average N02-  The model should not be used for very large degrees



 of control (^ 80% or more) since we would be extrapolating beyond the degree



 of variation which we observed in the morning precursor levels.  To predict



 winter daytime average N02 at various degrees of control, the percentage



 reductions in Table 10.12 should be applied to the actual value for daytime



 average NOp (8.54 pphm) rather than the computed value (8.49 pphm).

-------
                                      227
      Table 10.12   Percentage Changes in Winter Daytime Average  N02


                    at Downtown Los Angeles  as a  Function of NO  and

                                                              A

                    Hydrocarbon Control
                                       CONTfWL
           
**
r>.
o>
i— •
a*
10
o>
s_
*t-
«/»
O)
O)
f»
(O
^^
o
a*
o>

-------
                                     228



      Daytime  Average  NO,,,  Simmer Season



      The  regression equation  for daytime  average N02 in the summer season



 (summarized in  Equation (15)  and Table 10.6)  was of the form
 DAVN02 = 2.42 +0.53N025 + 0.13 INTNO + 0.009 INTNO -        +0.0001.1 INTNO-NMHCPR
                                                                           (22)



 with units of all  pollutant variables in pphm.   Substituting in average



 pollutant values for the summer season (N025 =5.3 pphm,  NOX69 =18.9 pphm,



 INTNO = 13.6 pphm, and NMHCPR = 120 pphm) in Equation (22) yields





                     I          II          III          IV         V

      DAVN02  =    2.42    +    2.81    +   1.77     +   0.78   +  0.18      (23)



              =    7.96 pphm




This is close to the actual summer daytime mean  N02, 7.94  pphm.





      To form a predictive model, we make the following assumptions for each



 term:



 Term I: This term is assumed proportional to NO  and independent of hydrocarbons
                                                J\


          (see earlier discussion).



 Term II: As indicated by  coupling with the nighttime model, this term should



          be proportional  to NO   and  independent of hydrocarbons  (see earlier
                              J\


          discussion).



 Term III:  This  term involves the variable INTNO in Equation  (22).   it should



          also be proportional to NOV and  independent of hydrocarbons.
                                   A


 Term IV:  This term should be proportional to hydrocarbons and independent of



          NOX (see  earlier discussion).



 Term V:   This term should be proportional to the product  of NO  and hydro-
                                                               /\


          carbons (see earlier discussion).

-------
                                  229




     Following  the  procedures  outlined for  average N02 in winter, the im-


pact of NOX and hydrocarbon  control  on summer daytime average N02 was cal-


culated.  Table 10.13  presents the results.  Again, the effect of NOX is


more important  than the  effect of hydrocarbons.  A 60% NOV reduction (with
                                                         A

no hydrocarbon  control)  decreases summer daytime average N02 by 54%, while


a 60% hydrocarbon reduction  (with no NOX control) decreases N02 by only 7%.


Compared with Table 10.12, Table 10.13 indicates that N0¥ control  is slightly
                                                        A

more important  in summer than  in winter, and that hydrocarbon control  is less


important in summer than in winter.


                                                    }

     Table 10.13  Percentage Changes in Summer Daytime Average N02


                  at Downtown  Los Angeles as a Function of NO  and
                                     »|U                       f\
                  Hydrocarbon  Control
                              NO  CONTROL
                  (Percentage Changes from 1969-1974 Level)
01
1—
CT>
ID
_) CT*
HA $••
5 §
£•»
o
0)
O)
to
c
£
' of

+20%

0%
-20%

-40%

-60%

+20% 0%
+21% +2%

+18% 0%
+16% -2%

+13% -5%

+11% -7%

-20%
-16%

-18%
-20%

-23%

-25%

-40%
-34%

-36%
-38%

-41%

-43%

-60%
-52%

-54%
-56%

-58%

-61%

    *To calculate summer daytime average N02 levels, these percentage

changes should  be applied  to  7.94  pphm.

-------
                                   230
 Nighttime Average  N02,  Winter  Season
       Section  10.3  develops regression equations which  indicate the depen-
 dence of nighttime average N02 on precursors.  The winter regression  equa-
 tion  (summarized by Equation  (18) and Table  10.11) included  four terms,

    NAVN02 =  2.08 +  0.57  N0216 + 0.02 NITENO + 0.026 NITENO •  03AFT    (24)

 with  all pollutant variables  in units of  pphm.
       If we  substitute  in  average values for  the pollutant variables in win-
 ter (N0216  =8.3 pphm,  NITENO  = 7.0 pphm, and OgAFT  =  4.9 pphm), this
 equation yields

                    I            II         III         IV
    NAVN02  =     2.08    +   4.71    +   0.14   +  0.89
            =     7.82 pphm.

    This calculated  value is close to the actual nighttime N02  average in
winter,  7.66 pphm.
    A predictive model for nighttime average N02 can  be formulated by making
the following assumptions concerning the dependence of each term  on the
primary  precursors:
Term I:   This is the remainder term that we did not  relate directly to
          the precursors.  The assumption for this term is somewhat arbitrary.
          We will make the simple assumption that it  is directly  proportional
          to NOV control and independent of hydrocarbon control.
               A
Term II:  This is the initial N02 term for the nighttime period.   As indi-
          cated by Equation (19), initial N02 for the nighttime period
          bears a slight inverse  relation with the hydrocarbon-to-NO   ratio.
                                                                     «

-------
                                    231

          Using existing  hydrocarbon-to-NOX ratios  as  a  starting point, this
          effect can  be approximately  accounted for by taking this term to be
                             [HC  1
                     1  - 0.12^0-J ,  where  NOX and HC represent the control
                              A\
          variables.   This  formula  should only  be valid  for moderate levels
          of control,  i.e.,  NOX between -60% to +60% and HC between -60%
          to +60%.

Term III: This term  involves the precursor, NITENO.  It  should be directly
          proportional to NO and independent of hydrocarbons.
                             A
Term IV:  As indicated by Equation  (24),  this term  involves NITENO-03AFT.
          An assumption is  required   as  to the  dependence of OoAFT on the
          control  variables.  This  assumption will  not be critical  since
          Term IV  is  relatively small.  We will  make the assumption that
          OgAFT in Downtown Los Angeles  is proportional  to the hydrocarbon/
          NOV ratio.   Thus,  Term IV would be directly  proportional  to hydro-
            S\
          carbons  and independent of  NOV  (the NOV effect is cancelled by
                                       A         A
          multiplying NITENO times  the hydrocarbon/NOx ratio).

    Following procedures  outlined previously, the above  assumptions can be
used to calculate  the effect of precursor control on winter nighttime average
N02.  Table 10.14  presents  the  results.   Table  10.14 indicates that changes
in nighttime average  N02  are almost directly proportional to NOX control.
Hydrocarbon control  is slightly beneficial, but the effect is essentially
negligible.  It appears that the N02  decreases  that hydrocarbon control
brings in Term IV  (through oxidant  reductions)  are  neutralized by the N02

-------
                                   232




increases that hydrocarbon control brings in Term II (through increased



afternoon NCL levels).
    Table 10.14  Percentage Changes in Summer Nighttime Average N02


                 at Downtown Los Angeles as a Function of NOV
                                                            A

                 and Hydrocarbon Control*
1
2
s
J
c
E


t
rca
03
7 +20%
O^
^O
o^
E Q%
o
$ -20%
c
at
5 -40%
OJ
o>
03
§ -60%
$-

-------
                                    233
As was the case with winter  nighttime  average  N02,  the summer nighttime



average is almost directly proportional  to  N0¥ control.  Hydrocarbon con-
                                             A


trol yields almost negligible.benefits.
    Table  10.15  Percentage Changes in Summer Nighttime Average NO,


                 at  Downtown  Los  Angeles  as a Function of NO  and
                                                            ^\

                 Hydrocarbon  Control*
r^"* <^v
§! (Percentage Changes from 1969-1974 Level)
— i
«st"
Ol
oj +20%
3 2
C "^
I 1 0%
3 M-
c «»
i | -20%
10
CJ
1 "40%
c
1 § -60%
+20% 0%
+20% +1%
+19% 0%
+18% -1%
+17% -2%

+17% -3%
r a?
-20%
-18%
-19%
-20%
-21%

-22%

-40%
-37%
-38%
-39%
-40%

-41%

.-60%
-57%
-57%
-58%
-59%

-60%

            *To  calculate summer nighttime average NO, levels, these
     percentage changes should be applied to 5
PP
nrn.
    Annual Average N02




    To arrive at an empirical model for annual average N02, we must combine


the results for daytime and nighttime and for the two seasons.  For each


level of precursor control, the predicted N02 level for each season and

-------
                                    234




time of day is calculated by applying the percentage reductions listed



in Tables 10.12 through 10.15 to the existing N02 average (1969-1974) for



that season and time of day.  The annual average is then computed according



to the tautology





Annual Average 5 |[^DWA  + ^NWAJ  + -^DSA + ||NSAJ   ,            (25)





where



         DMA = daytime winter average N02



         NWA = nighttime winter average NOp



         DSA = daytime summer average N02



         NSA = nighttime summer average N02





    The weights of one-half are used for the two seasons, because each



season represents six months.  The  10/24 and 14/24 weights are used for daytime



and nighttime, respectively, because the daytime average represents 10 hours



while the nighttime average represents 14 hours.



    The results for annual average N02 at Downtown Los Angeles are summarized



in Table 10.16.  Table 10.16a lists percentage changes in annual average N02,



while Table 10.16b lists predicted annual average N02 levels. These results



indicate that changes in annual average N02 will be almost directly propor-



tional to NO  changes, with a slight beneficial impact due to hydrocarbon
            A


reductions.    The  relationship to  NO  is not exactly  proportional  because
                                     A


NO  reductions would have the side  effect of increasing the  HC/NOV ratio.
  x                                                              *


To attain the federal  air quality standard for annual  average N02 would



require approximately a 31% reduction in NO  levels if hydrocarbons remained
                                           A


constant.  If hydrocarbons were reduced by 60%, only a 23% reduction in NOX



levels would be required for attainment.

-------
                                  235





     As indicated by Tables 10.12 through 10.15, the beneficial impact



of hydrocarbon control would be accrued almost entirely during the day-



time period.  A 60% reduction  in hydrocarbons (with no NO  control) would
                                                         y\


result in a 12% decrease  in daytime  average N02 but only a 2% decrease in



nighttime average N02.  The impact of hydrocarbon control would also be



significantly greater for daytime average N02 in winter than for daytime



average N02 in summer.
   Table 10.T6  The Effect of NOY and Hydrocarbon Control  on
                                A.


                Annual Average N02 at Downtown Los Angeles
         Table 10.16a  Percentage Changes in Annual Average N02


J
3
£
3^
5
j
j
c
>
?





r

.>
(U
_J
7 +20*
us
o>
E 0%
2
1-
S -20%
C
10
£••
« -40%
«*
§ -60%
V
Q-
I1W krVIV 1 I\U1. " ' .1 .-^,.
(Percentage Changes from 1969-1974 Level)
+20% 0% -20% -40% -60%
+21% + 2% -16% -34% -53%


+18% 0% -18% -36% -55%


+16% - 2% -20% -38% -57%


+13% - 5% -23% -41* -59%

+11% - 7% -25%, -43% -61%



-------
                                     236
           Table 10.16b  Annual  Average N02 Levels,  pphm
p (Pi
O)
(U
B +20%
Ji
i
> CT>
"* VO
i * o%
3 §
^ £
1 " -20%
0)
O)
c
(O
5 -40%
Ol
o>
fO
1 -60%
w
Q_
HU LUMIKUL 	 	 ^*
srcentage Changes from 1969-1974 Level)
+20% 0% -20% -40% -60%
8.9 7.5 6.2 4.8* 3.5*


8.7 7.3 6.0 4.7* 3.3*

8.5 7.2 5.8 4.5* 3.2*



8.3 7.0 5.7 4.4* 3.0*



8.2 6.8 5.5 4.2* 2,9*


           *Attains federal standard of 5.3 pphm (100 yg/m )
10.4.2  Predictive Model for Yearly One-Hour Maximum
     In examining yearly one-hour maximum N02>  it appears sufficient to
restrict the analysis to the daytime period.  Table 10.17 lists the days
in our processed data base with the five highest one-hour N02 concentrations
for winter and summer, and for daytime and nighttime.   It is evident that
the most extreme one-hour levels of NOp tend to occur during the daytime
period.

-------
                                     237
 Table 10.17   Days  in the Processed Data Base with Extreme One-Hour N02
               Levels  in Downtown Los Angeles (1969 to 1974)
                  DAYTIME
    Winter
    Summer
74 pphm  (3/29/71)
58 pphm  (10/16/73)
56 pphm  (11/9/71)
55 pphm  (11/24/71)
66 pphm (5/15/70)
57 pphm (5/16/70)
53 pphm (5/14/70)
50 pphm (7/4/70)
 52  pphm  (10/17/73)     45 pphm (9/8/71)
                                                      NIGHTTIME
                                               Winter
                         Summer
46 pphm (1/17/71)    31  pphm (5/14/70)
45 pphm (1/19/71)    21  pphm (9/28/73)
43 pphm (1/18/71)    20  pphm (4/1/70)
41 pphm (1/31/71)    20  pphm (7/8/70)
40 pphm (2/11/71)    20  pphm (5/15/70)
      It  also  appears that that summer daytime maxima are slightly smaller
 than  the winter daytime maxima.  An examination of all  the  data for Downtown
 Los Angeles  (a larger data set than our processed data  base),  indicates that
 the typical winter maximum for the 1969-1974 period is  around  60 pphm, while
 the typical summer maximum is. around 50 pphm.   Since the summer maximum is
 not small  compared  with the winter maximum, our analysis for yearly maximum
 one-hour N02  should consider both the summer and winter daytime periods.
      In  formulating predictive models for yearly maximum one-hour N02 concen-
 trations,  procedures  were followed analogous to those used for annual  mean
 concentrations.  Since  the  analysis  for the  yearly  maximum is restricted to
 the daytime period,  the appropriate  regression  formulas  are given by Equation
 (15) and Table  10.6.  One new problem arose  in  the  analysis of yearly maxima.
The regression  formulas  for daytime  peak N02 are actually applicable only to
average conditions; the  formulas  are  based on all days  in the data base.  In-
sufficient data were  available to develop separate  regression formulas for
the few days with extreme N02 concentrations.   The  most  realistic use of the
regression  formulas would be  to predict seasonal  averages of daily maxima, not

-------
                                     230
yearly one-hour maxima.  When applied to days of extreme N02 levels, the re-
gression equations tended to under predict the one-hour maxima by as much as 40X.
To circumvent this problem, the predictive model was formulated with the
regression formulas by entering the precursor levels (N025, INTNO, and
NMHCPR) associated with the most extreme days of N02 concentrations.  The
percentage change indicated by this model was then applied to the actual one-
hour maximum  (60 pphm in winter and 50 pphm in summer).
     The results of the predictive models for yearly maximal N02 concentra-
tions in summer and winter are presented in Tables 10.18 and 10.19.  These
tables show that the effect of hydrocarbon control on maximal N02 levels
in Downtown Los Angeles is almost as great as the effect of NOV control.
                                                              A
Hydrocarbon control has a slightly greater impact in winter than in summer.
Applying the  percentage changes in Tables 10.18 and 10.19 to the typical winter
and summer maxima (60 pphm and 50 pphm, respectively) indicates that the
yearly maximum would tend to occur in winter for all degrees of control
listed in the tables.  Thus, Table 10.18 (the winter case) can be considered
as representative of the one-hour maximum for the entire year.*
     Table 10.20 lists predicted values for yearly one-hour N02 maxima as
a function of NOX and hydrocarbon control  This table has been derived by
applying the  percentage changes in Table 10.18 to the typical winter maximum
      In years with unusual meteorology, the yearly maximum may actually occur
in summer. Rather than complicate the predictive model, we will neglect this
possibility and deal with the winter maximum only.

-------
                                   239
Table 10.18   Percentage Changes In Winter Yearly Peak One-Hour N02 as


              Function of NO  and Hydrocarbon Control
                            A.
0)

i 2
c
^* ^«
"* £
•* ^3
3 £
J) (/)
E g>
s c
10
0

7 +20%
O
^O
O^
§ 0%
i-
S -20%
£Z
1C
^ -40%
fjt
(O
§ -60%
n\j uuit i rvuu •• — w~
>ercentage Changes from 1969-1974 Level)
+20% 0% -20% -40% -60%
+24% +8% - 9% -25% -42%



+16% 0% -16% -32% -47%

7% . 8% -23% -38% -53%

. n -15% -30% -44% -59%


. 9% -23% -37% -50% -64%
Ol
Q.

-------
                                     240
    Table 10.20  Yearly One-Hour Maximum NOp Levels in Downtown Los Angeles


                 as a Function of Hydrocarbon and NO  Control (All Values pphm)
                                                    rt
                                 NO.. CONTROL
         gj         (Percentage Changes frosi 1969-1974 Level)
_l
Oi
1
cr>
• 1Q
3 CTl
i i
C ">
r OJ
? 0)
C
ro
O
(U
C7/
fO
-M
0)
0
r ^5
r\

+20%

0%
-20%

-40%
-60%
+20%
76

69
62

55
49
0%
66

60
54

48
42
-20%
57

51
46

40
35
-40%
47

42
37

32
27
-60%
38

33
29

25*
20*
     *Attains the California  one-hour N02 standard of 25 pphm





 (60 pphm) for the 1969-1974 period.  Table 10.20 indicates that hydrocarbon



 control would be nearly as important as NO  control  for attaining  the one-
                                          J\


 hour California N02 standard in Downtown Los Angeles.



     The significance of hydrocarbon control for yearly maximum one-hour



 N02 in Downtown Los Angeles is somewhat surprising.  However, it is actually not



 implausible from a physical viewpoint.  Reducing the hydrocarbon- to-NO
                                                                      X


 ratio should delay the formation of maximal NOo.  This delay is particularly



 important in Downtown Los Angeles because dispersive conditions become



much stronger late in the morning as the sea breeze establishes and the



mixing height elevates.

-------
                                     241
     Because of the uncertainties  in our  analysis,  it will be important to
check the empirical models quantitatively against smog-chamber results and
against historical air quality  trends.  These  checks will be conducted in
Chapter 12 of this report.  Qualitatively,  the air  quality trends discussed
in Part I of this study  provide reason  for encouragement.  Part I demonstrates
that maximal N02 levels  in central/coastal  Los Angeles decreased slightly in
the past decade even  though NOX emissions and  ambient NOX levels increased
significantly.  This  could be the  result  of the hydrocarbon control that has
been achieved in the  central/coastal parts of  Los Angeles.
     One further remark  should  be  made  in regard to the predictive models
summarized by Tables  10.12 through 10.20.  These tables list the changes in
ambient N02  that should  result  from NOX and hydrocarbon control, but they do
not quantify the errors  in the  predictions. Based  on the statistical errors
in the regression coefficients  which underly the models, it would be possible
to compute error bounds.  However, these  statistical error bounds would have lit-
tle meaning  because they would  not be representative of the conceptual  limita-
tions inherent  in the models.  As  noted in Section  7.2.4, these limitations
include the  neglect of transport,  the omission of meteorology, and the as-
sumption that precursor  changes produced  mostly by  meteorology can be used to
model the effect of control  strategies.  It is not  possible to quantify the
potential errors that arise  because of  these fundamental limitations in the
models.

-------
                                     242
10.5  REFERENCES

1.  W. S.  Cleveland, B.  Kleiner,  and J.  L.  Warner, "Robust Statistical Methods
    and Photochemical Air Pollution Data,"  Journal of the Air Pollution Control
    Association. Vol. 26, p. 36,  1976.

2.  L. R.  Reckner, "Survey of Users of the  EPA Reference Method for Measurement
    of Nonmethane Hydrocarbons,"  EPA-650/4-75-008, December 1974.

3.  F. Bonamassa and H.  Mayrsohn, "Distribution of Hydrocarbons in the Los
    Angeles Atmosphere,  Aug.-Oct. 1971," California Air Resources  Board,
    November 1971.

4.  H. Jeffries, D. Fox, and R.  Kamens,  "Outdoor Smog Chamber Studies:  Effect
    of Hydrocarbon Reduction on Nitrogen Dioxide," prepared for EPA Office  of
    Research and Development by  University  of North Carolina, EPA-650/3-75-011,
    June 1975.

5.  E. R.  Stephens, "Proceedings  of the Conference on Health Effects of Air
    Pollution," U.S. Senate Committee on Public Works, U.S. Government
    Printing Office Stock No. 5270-02105, 1973.

6.  E. L.  Meyer, Jr., EPA Office  of A1r Quality Planning and Standards,
    personal communication, August 1976.

-------
                                    243

             11.0  EMPIRICAL MODELS APPLIED TO VARIOUS CITIES

      Chapter 10 of this  report  formulates statistical models of the
N02/precursor relationship at  Downtown Los Angeles.  The investigation
results  in an empirical  control  model based on a series of linear regression
equations and on certain  simple  physical assumptions.  This chapter uses
the same procedure to  derive empirical control models for 7 other lo-
cations:  Lennox  (CA), Azusa  (CA),   Pomona (CA),  Denver, Chicago,
Houston/Mae, and Houston/Aldine.

11.1  GENERAL METHODOLOGY
      The empirical N02 control  model for Downtown Los Angeles was based
on regression equations for daytime N02  (Equations (12), (14), and (15)),
regression equations for  nighttime  N02 (Equations (18) and (19))> and simple
physical assumptions which transformed these equations into predictive con-
trol models  (Section 10.4).  The  exact procedure is used here to derive
empirical control models  for 7 other  cities.  This section provides a brief
summary of that procedure.  The  reader is referred to Chapters 9 and 10 for
more detailed descriptions of  the procedures and for exact definitions of
                                             \
the variables used.
      The empirical control models  for all 10  cities are based on regres-
sion equations which do not explicitly include wpather variants.  As
noted in Chapter 10, the  inclusion  of weather variables raises questions
as to whether the observed dependence of N02 hydrocarbons is real or
whether it is partially an artifact produced by unaccounted for weather

-------
                                   244
variables.  This stresses the need to check the results of the empirical
models against historical air quality trends and smog-chamber experiments
These checks will be performed in subsequent chapters.
11.1.1  Regression Equations for Daytime NO,,
      The dependent variables for the daytime analysis are daytime peak
one-hour N02 (DPKN02) and daytime average N02 (DAVN02).  Regressions are
run  (separately for DPKN02 and DAVN02, separately for winter and summer)
of the form:
                   DPKN02 = A + B^NOgS + Bg-INTNO  .                (26)
                (or DAVN02)
The B-j term represents the contribution of early -morning N02 carried over from
the previous night.  The Bg term represents the contribution from the con-
version of NO  (both carry-over NO and early morning NO emissions).  The
constant  (usually  small) represents the contribution from other factors,
such as late-morning NO emissions.
       It  is assumed that hydrocarbons  (NMHCPR) affect daytime N02 by
governing the amount of INTNO converted to N02<  The effect of hydrocarbons
is estimated by performing a stepwise  regression,
                            y = CQ + C1X1 + C2X2 ,                    (27)
where
                    y = DPKN02 - A - B] • N025 - B2« INTNO,
                        (or DAVN02)
                    X] = [RATIO - RATH)"] • INTNO,
                    X2 = [NMHCPR - NMHCPR] .  INTNO,
                RATIO  = NMHCPR/NOX69,
            and "_ _ " = average values.

-------
                                    245
This results in a final equation of the form
      DPKN02 =  (A + CQ)+ BrN025 + INTNO-[B2 + CrRATIO + C2-NMHCPR] ,     (28)
   (or DAVN02)
      where BZ  = B2 - Cr RATIO - C^NMHCPR.

11.1.2  Regression Equations  for Nighttime NO,,
      The basic equations  for nighttime N02 are obtained by stepwise regres-
sions (separately  for NPKN02  and NAVN02, separately for winter and summer)
of the form
      NPKN02 =  A + B1-N0216 + B2-NITENO + B3-NITENO-03AFT .               (29)
  (or NAVN02)
The second term indicates  the contribution of N02 carried over from the
afternoon.  The third and  fourth terms represent the contribution of NO
(carried over from the afternoon or  emitted during the early evening).   The
conversion of NO to N02 is allowed to depend on the afternoon oxidant  level
(fourth term).  The constant, A, represents contributions from other factors,
such as nighttime  NO emissions.
      Since the afternoon  N02 level  (N0216) may depend on early-morning
hydrocarbons, a regression (separately for winter and summer) is also  run
of the form
                           N0216 = DQ + D] • RATIO,                        (30)

where RATIO is  the morning NMHCPR/NOX69 level.

11.1.3  Empirical  Control  Models
      The regression equations are transformed into empirical control  models
by adding certain  physical assumptions.  For the daytime models, based on

-------
                                   246
Equation  (28), the assumptions are listed in Table 11.1
      Table 11.1  Assumptions to Convert Equation  (28) into a
                  Control Model for Daytime NO/,
      Term in
   Equation (28)
Control Assumption
       Remarks
       N025
      • INTNO
   C1 • RATIO • INTNO
       NMHCPR . INTNO
                       Proportional  to NOX
                       Independent of HC
Proportional to NOX
Independent of HC
Proportional to NOX
Independent of HC

Independent of NOX
Proportional to HC
Proportional to the
product of NOY and HC
             J\
This is the simplest as-
sumption to make.  Fortun-
ately, this assumption is
usually not critical.

This assumption is supported
by the models for nighttime
average N02.
The effect of NO/ control is
cancelled by proportionality
between INTNO and NOX69 (de-
nominator of RATIO).
       The nighttime model is formed by inserting Equation (30) into

  Equation (29).  The assumptions which transform the equation into a

  control model are listed in Table 11.2.

-------
                                     247
     Table 11.2  Assumptions  to Convert Equation (29) into a
                 Control  Model  for Nighttime N(L
     Term in
  Equation (29)
        Control Assumption
                               Remarks
     VD0
     B1 • D1 •  RATIO
         NITENO
         NITENO
' °3AFT
                         Proportional  to NO,
                         Independent of HC
        Proportional to NOX
        Independent of HC
        Independent of NOX
        Proportional to HC
Proportional to NOX
Independent of HC

Independent of NOX
Proportional to HC
                         This is the simplest assump-
                         tion to make; it is usually
                         not critical

                         This term is obtained by  sub-
                         stituting Equation (30)
                         into Equation (29).   The
                         parameter Dn should be
                         directly proportional to  NO .
                                                    /\

                         This term is obtained by  sub-
                         stituting Equation (30) into
                         Equation (29).   The parameter
                         DI  should be directly propor-
                         tional to NOX.
It is implicitly assumed that
OsAFT is porportional  to the
HC/NOx ratio.   This assumption
should be approximately true
for many central-city  locations.
However, it may not hold for
Houston or for downwind sites
in Los Angeles (e.g.,  Azusa
or Pomona).  Fortunately, this
assumption is  usually  not critical
11.2  CONTROL MODELS  FOR  VARIOUS CITIES

     Using the procedures outlined in  the previous  section and  in Chapter 10,

this section formulates empirical  control models  for 7  cities.   For each

location, a model  is  developed for annual mean  N02  and  yearly peak one-hour

N02.  The model for annual  mean N02 involves  synthesis  of four  submodels,

for daytime average N02 and nighttime  average N02 in both winter and  summer.

-------
                                     248
The synthesis is based on Equation (25), page 234.   The model for yearly
peak one-hour N02 is developed by using the regression equation for DPKN02
corresponding to the season and time of day when the yearly peak occurs.  "Worst-
case" conditions are used in the regression equation for DPKN02.
      The following discussions deal  only with the  resultant control  models
 for each city.   The regression equations which serve as the foundation of the
 control  models  are presented in Appendix D.
 11.2.1   Lennox, California
      The Lennox monitoring site is  located about eleven miles southeast of
 Downtown Los Angeles and three miles  from the coastline.   Like Downtown
 Los Angeles, Lennox is within the area of high emission density that spreads
 over the central/coastal  parts of the Los Angeles  basin.   However,  Lennox
 is in the upwind part of the source-intensive area,  while Downtown  Los
 Angeles is in the center of the area.
      The empirical control model for  annual mean N02 at Lennox is summarized
 in Table 11.3.  Percentage changes  in annual average N02 at Lennox are listed
 for various changes in NO  and NMHC concentrations at Lennox.  Also presented
                          J\
 are predicted annual average N02 concentrations (Table 11.3b).  As was the
 case for Downtown Los Angeles (Section 10.4.1), annual mean N02 at Lennox
 is essentially directly proportional  to NOV, with minute benefits accrued
                                           A
 from NMHC control.  Attainment of the federal annual mean standard for N02
 must be accomplished through NOV control.
                                A
      The submodels for annual mean  N02 at Lennox indicate that nearly all
 the benefit from NMHC control occurs  in the daytime N02 average rather than
 the nighttime N02 average.  Also, the effect of hydrocarbons is greater
 for winter daytime N02 than summer daytime N02<  These patterns are totally
 consistent with the corresponding submodels for Downtown Los Angeles.

-------
                             249
Table 11.3   The Effect of NO   and Hydrocarbon Control on
             Annual Mean N02 at Lennox

Table 11.3a  Percentage Change in Annual  Mean NCL






DC
O
0

a:
3S.
Z










§
?
1
L>
£





0)
01
CO
o>
VO
2
1
V)
2
N0x

-20%


-18%
-19%


-20%



-21%


-22%


Levels,
CONTROL
(Percentage Changes from

+20%

0%
-20%
-40%

-60%
+20%
7.7

7.7
7.6
7.5

7.6

•
0%
6.5

6.4
6.4
6.3

6.2


-20%
5.3*
jl
5.2
5.1*
5.1*
it
5.0



-40%


-37%
-38%


-39%



-40%


-41%


pphm


1969-1974
-40%
4.1*
^
4.0
*
3.9
3.9*
it
3.8



-60%


-56%
-57%


-58%



-59%


-60%

.



Level)
-60%
2.8*
*
2.8
2.7*
2.6*
*
2.6


                *Atta1ns federal standard of 5.3 pphm (100 yg/m3)

-------
                                    250
     The yearly maximum one-hour N02 concentration at Lennox occurs almost
invariably in the daytime during the winter.  The highest N02 concentra-
tions in the winter are approximately 20% greater than summer peaks, and
the highest daytime concentrations are about 30% greater than the night-
time peaks.  Thus, the control model for peak winter daytime N02 represents
the control model for yearly maximum N02.
     The control model for yearly maximum N02 is summarized in Table 11.4.
This model has been derived by a procedure entirely parallel to the analysis
for Downtown Los Angeles (Section 10.4.2).  The control model indicates
that maximal N0? concentrations are slightly less than proportional to NO
               C.                                                         A
concentrations at Lennox.  Moderate improvement in maximal N02 can be
gained from hydrocarbon control.  The benefit of hydrocarbon control on
yearly maximum NO,, appears to be considerably less at Lennox than at Down-
town Los Angeles (Tables 10.18 and 10.20).
11.2.2  Azusa. California
     The Azusa monitoring site is located about 21 miles ENE of Downtown
Los Angeles.  Azusa is on the northeast fringe of the area of high emission
density which spreads over the central and coastal parts of the Los Angeles
region.  As such, Azusa can be regarded as a downwind  receptor site in
the Los Angeles basin.
     Table 11.5 summarizes the empirical control model for annual mean NO,,
at Azusa.  As was the case with Downtown Los Angeles and Lennox, annual
mean N02 is essentially proportional to NO , with very small benefits
resulting from hydrocarbon control.  Attaining the federal annual mean
standard for N02 must depend on NO  control.

-------
                                  251
Table 11.4   The Effects of NOv  and Hydrocarbon Control on Yearly
             Maximum One-Hour  N02  at Lennox

Table 11.4a   Percentage Changes in Yearly Maximum N02


O
0

QJ
—1
•a-
r*.
Ol
i
1
M-
1
-C
O
OJ
en

I


»
01
r—
•o
OH
1
01
en
10
St.
(Percentat
0%
+4%
0%
-4%
-8%
-12%
-20%
-12%
-16%
-20%
-24%
-28%
Maximum N0£
NOY CONTRO
^v
(Percentage Changes

+20%
0%
-20%
-40%
-60%
+20%
49
47
46
44
43
0%
42
41
39
38
36
from
-20%
36
34
33
31
29
fL

m 1969-1974 Level)
-40%
-29%
-32%
-36%
-40%
-44%
-60%
-45%
-49%
-52%
-56%
-60%
Concentrations, pphm
L-

1969-1974
-40%
29
28
26
*
24
23*

Level )
-60%
23*
21*
*
19
*
18
16*
                    *Atta1ns the California one-hour  standard (25 pphm)

-------
                                252

Table 11.5  The  Effect of NOX and Hydrocarbon Control  on Annual
            Mean N02  at Azusa

Table 11.5a  Percentage Changes in Annual Mean N02
n
-v (Percent Changes from 1969-1974 Level)
C*
o
11




!
3
«>


01
o>
CTl
1
VO
CTl
0)
C
<0
O
C
u
t-
OJ
Q.
"ol
o>
s
CTl
s-
0)
en
C
.C
(Percentage C

+20%
0%
-20%
-40%
-60%
+20%
+20%
+19%
+19%
+18%
+17%

0%
+1%
0%
-1%
-2%
-3%

Table 11. 5b Annual Mean
N0x
-20%
-19%
-19%
-20%
-21%
-22%

N02 Le
CONTROL
(Percentage Changes from

+20%
0%
-20%

-40%
-60%
+20%
7.3
7.3
7.2

7.2
7.1
0%
6.2
6.1
6.1

6fO
5.9
-20%
5.0*
4.9*
4.9*

4.8*
4.8*
-40%
-38%
-39%
-40%
-40%
-41%

vels, pphm

1969-1974 Level
-40%
3.8*
3.7*
3.7*

3.6*
3.6*
-60%
-57%
-58%
-59%
-60%
-60%

....

)
-60%
2.6*
2.6*
2.5*

2.5*
2.4*
                    Attains federal standard of 5.3 pphm  (100 yg/m3}

-------
                                     253
     The submodels for annual mean N02 at Azusa  indicate that the maximum
benefit from hydrocarbon control  is  attained in  daytime average N02 during
the winter.  This is consistent with the results for Downtown Los Angeles
and Lennox.  Nighttime average N02 in the summer is also somewhat sensitive
to hydrocarbon control.  This could  mean that oxidant is especially signifi-
cant to nighttime N02 in the case of Azusa; oxidant affects the amount of
evening NO converted to NOp.
     Yearly maximum one-hour N02  at  Azusa invariably occurs during the
winter season.  The yearly  peak is slightly more likely to occur in the
nighttime period than in the daytime period.  Thus, empirical control  models
of yearly maximum N02 at Azusa were  completed for both winter daytime
conditions and winter nighttime conditions.  These results are presented
in Table 11.6.
     Table 11.6 indicates that yearly maximum N02 in both the daytime  and
nighttime periods is essentially  proportional to NOX, with moderate effects
occurring from hydrocarbon  control.   The benefit of hydrocarbon control is
greater for the daytime peak than for the nighttime peak.  For virtually all
degrees of control listed in Table 11.6, the yearly maximum will  be more
likely to occur in the nighttime  period  than in the daytime period.   Thus,
the nighttime case  (Table 11.6b)  is  used as the  control model for yearly
maximum N02.  Predicted yearly maxima as a function of hydrocarbon and NOX
control are listed in Table 11.7.
11.2.3  Pomona. California
     Pomona is located approximately 30 miles east of Downtown Los Angeles.
Under the prevailing daytime wind flow, Pomona is downwind of the source-
intensive, central/coastal  parts  of  the basin.

-------
                          254
Table 11.6  The Effect of NOX and Hydrocarbon Control
            on Yearly Maximum NC^ at Azusa

Table 11.6a  Percentage Changes in Winter Daytime Peak


1
o
o
o



o
i
u
L>
i



"ol
1
CT>
VO
CTi
§
Il-
l/I
C
(O
f""
• V
o
g,
(Percent*
r™
0)
_l
CTl
1
U3
O>
14-
tn
0)
c
fmm
O
Ol
C7)
K)
C
U
s.
0]
Q.
(Percentage Changes from 1969-1974 Level)

+20%
0%
-20%
-40%
-60%
+20%
+26%
+19%
+11%
+4%
-3%
0%
+6%
0%
-6%
-12%
-18%
-20%
-13%
-19%
-24%
-29%
-34%
Table 11. 6b Percentage Changes
NOX CONTROL
(Percentage Chanaes from

+20%
0%
-20%

-40%
-60%
+20%
+20%
+17%
+16%

+14%
+11%
0%
+2%
0%
-2%

-4%
-7%
-20%
-16%
-18%
-20%

-22%
-24%
-40%
-33%
-37%
-41%
-46%
-50%
in Winter Ni
1969-1974 Level
-40%
-34%
-36%
-38%

-40%
-42%
-60%
-52%
-56%
-59%
-62%
-66%
ghttime Peak
,
-60%
-51%
-54%
-56%

-58%
-60%

-------
                                     255
                                                     r


                   Table 11.7.  Predicted Yearly Maximum NO? Concentrations (pphm)

                                at Azusa as a Function of NOX and

                                Hydrocarbon Control
o
ce.
o
o
iw
^J (Percentage Changes
O!
	 i


i—
i
^
<£ +20%
E
| 0%

| -20%
(O
JC
s, "40%
(rt
S -60%
+20%



47

46

45


45

44
o
S-

  • -------
                                        256
         Table 11.8 presents the empirical control model for annual mean N02
    at Pomona.  Following the pattern at the other Los Angeles sites, annual
    mean N02 at Pomona is almost directly proportional to NOX control, with
    slight benefits provided by hydrocarbon control.  Again, consistent with
    the other sites, the submodels indicate that the greatest benefit from
    hydrocarbon control is accrued in the daytime period during the winter.
         Yearly maximum one-hour N02 concentrations at Pomona occur almost
    invariably in the nighttime period during the winter.  Thus, the appro-
    prite submodel for yearly maximum N02 is the nighttime peak model for the
    winter.  Table 11.9 presents the resulting empirical control model for
    yearly maximum N02 at Pomona.  Hydrocarbon control apparently yields sig-
    nificant reductions in the winter nighttime maximum at Pomona and is about
    two-thirds as important as NOX control.  The regression model indicates that
    oxidant is an important determinant of the nighttime N02 maximum at Pomona.
    The benefit from hydrocarbon control occurs because hydrocarbon reductions
    serve to decrease oxidant.
    11.2.4  Denver, Colorado
         The Denver CAMP site is a "center-city" monitoring site located in
    downtown Denver.  Table 11.10 presents the empirical control model for
    annual mean N02 at the Denver CAMP site.  As was the case with the 4
    Los Angeles sites, annual mean N02 at Denver is approximately proportional
    to NO  concentrations.  However, contrary to the results for Los Angeles,
         7\
    hydrocarbon control tends to produce slight increases in annual mean N02 at
    Denver.
         The submodels for average N02 at Denver indicate that the main dis-
    advantages from hydrocarbon control occur during the winter  (in both the
    daytime and nighttime periods).  At all sites which have been examined,
    

    -------
                                    257
    Table 11.8  The Effect of NOX and Hydrocarbon Control on Annual
                Mean N02 at Pomona
    
    Table 11.8a  Percentage Changes in Annual Mean N0?
    
    
    
    
    
    g£
    oc
    o
    o
    o
    jg
    ^y
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    8
    E
    B
    £
    i
    
    
    
    
    
    
    
    
    
    
    r— •
    >
    3
    en
    o>
    
    e
    o
    M-
    
    !/)
    01
    ID
    x:
    o
    0)
    en
    CO
    c
    Ol
    o
    i-
    
    <1)
    o>
    c
    ro
    O
    Ol
    CD
    
    o>
    0
    s.
    d)
    CL
    
    (Percentage Changes from 1969-1974
    
    
    
    +20%
    
    0%
    
    
    -20%
    
    
    -40%
    
    
    -60%
    +20%
    
    +21%
    
    +17%
    
    
    +12%
    
    
    +8%
    
    
    +3%
    
    
    
    
    Table 11. Sb
    
    0%
    
    +4%
    
    0%
    
    
    -4%
    
    
    -9%
    
    
    -13%
    
    
    
    
    Annual-
    
    -20%
    
    -13%
    
    -17%
    
    
    -21%
    
    
    -25%
    
    
    -30%
    
    
    
    
    Mean 'N02
    NOX CONTROL
    
    
    
    
    -40%
    
    -30%
    
    -34%
    
    
    -38%
    
    
    -41%
    
    
    -45%
    
    
    
    
    Levels,
    
    
    
    (Percentage Changes from 1969-1974
    
    
    
    +20%
    
    0%
    
    -20%
    
    -40%
    
    
    -60%
    +20%
    
    
    9.2
    
    8.8
    
    8.5
    
    8.2
    
    
    7.8
    
    
    
    
    Attaii
    0%
    
    
    7.9
    
    7.6
    
    7.2
    
    6.9
    
    
    6.6
    
    
    
    
    -20%
    
    
    6.6
    
    6.3
    
    6.0
    
    5.7
    
    
    5.4
    
    
    
    
    -40%
    
    "A*
    5.3
    *
    5.0
    #
    4.7
    *
    4.4
    
    *
    4.1
    
    
    
    
    Level )
    
    -60%
    
    -47%
    
    -51%
    
    
    -54%
    
    
    -58%
    
    
    -61%
    
    
    
    •
    pphm
    
    
    
    Level )
    -60%
    
    *
    4.0
    *
    3.7
    *
    3.5
    *
    3.2
    
    *
    2.9
    
    
    
    
    is federal annual mean standard of 5.3 pp
    

    -------
                                    258
    Table 11.9  The Effect  of N0« and Hydrocarbon Control  on
                Yearly  Maximum N02 at Pomona
    
    Table 11.9a  Percentage Changes in Yearly Maximum  N02
    qj" (Percentage Changes from 1969-1974 Level)
    
    
    
    
    |
    o
    O
    Sp»
    ^pl
    
    
    
    
    
    
    
    
    
    U
    
    1
    | +20%
    | 0%
    | -20%
    ia
    .c
    a -40%
    CD
    £ -60%
    +20%
    
    +20%
    +12%
    +5%
    
    
    -3%
    
    -11%
    u
    s-
    O)
    o.
    Table 11. 9b
    'fi-
    
    0%
    
    +8%
    0%
    -8%
    
    
    -15%
    
    -23%
    
    
    
    
    
    -20%
    
    -5%
    -12%
    -20%
    
    
    -28%
    
    -35%
    
    
    
    
    Yearly Maximum NO
    N0x
    JS (Percentage Changes
    
    
    Ef
    E
    B
    L>
    E
    P
    i
    
    
    
    
    
    
    
    
    
    
    
    at
    en
    °? +20%
    c
    i: 0%
    
    tn
    0)
    g> -20%
    IO
    j*j
    <„ -40%
    0)
    ID
    4J
    g -60%
    U
    +20%
    
    49
    
    46
    
    
    
    42
    
    
    39
    
    
    
    36
    
    S-
    01
    Q.
    *
    0%
    
    44
    
    41
    
    
    
    37
    
    
    34
    
    
    
    31
    
    
    
    
    CONTROL -
    
    -40%
    
    -17%
    -25%
    -32%
    
    
    -40%
    
    -48%
    
    
    
    
    
    -60%
    
    -30%
    -37%
    -45%
    
    
    -52%
    
    -60%
    
    
    
    
    2 Concentrations, pphm
    
    
    
    
    from 1969-1974 Level)
    -20%
    
    39
    
    35
    
    
    
    32
    
    
    29
    
    
    
    26
    
    
    
    
    -40%
    
    34
    
    30
    
    
    
    27
    
    *
    24
    
    
    *
    21
    
    
    
    
    -60%
    
    29
    
    25*
    
    
    
    -------
                                 259
    Table  11.10  The Effect  of NOv and Hydrocarbon Control
                  on Annual Mean NO? at Denver
    
    Table  ll.lOa  Percentage Changes in Annual Mean N02  Levels
    
    
    o
    1—
    o
    o
    z
    
    
    
    1
    D
    L>
    L>
    1
    
    
    >
    0)
    CTl
    1
    CTl
    2
    |
    
    
    -------
                                        260
    it was found that hydrocarbon reductions tend to increase afternoon N02.
    This effect appears to be especially important at Denver during the winter.
    The increased afternoon N02 leads to increases in both daytime average N02
    and nighttime average N02 at Denver.
         As was the case with Downtown Los Angeles and Lennox, yearly one-
    hour maximum N02 at Denver invariably occurs in the daytime period during
    the winter.  Table 11.11 presents the empirical control model  for yearly
    maximum N02 at Denver.  It is evident that yearly maximum N02 is nearly
    proportional to NOV and that hydrocarbon control yields slight to moderate
                      J\
    benefits.
         It is interesting to note that, at Denver in the winter,  hydrocarbon
    control reduces daytime peak N02 levels but increases daytime average N02
    levels.  The increase in afternoon N02 from hydrocarbon control  evidently
    more than compensates for the reduction in peak morning concentrations.   On
    the contrary, at the Los Angeles sites, the reduction in daytime peak N02
    affects the daytime average more than the increase in afternoon N02 concen-
    trations.
    11.2.5  Chicago, Illinois
         The Chicago CAMP site is a "center-city" monitoring location located
    in the southeast part of Chicago.  Table 11.12 presents the empirical con-
    trol model for annual mean N02 at Chicago.  The model indicates that annual
    mean N02 in Chicago is directly proportional to NO  control and independent
    of hydrocarbon control.
    

    -------
                                   261
    Table 11.11  The Effect of NCL and Hydrocarbon Control  on
                 Yearly Maximum NOo at Denver
    
    Table 11.1 la  Percentage Changes  in Yearly Maximum NCU
    HVJ UUli 1 UVL, ~ ~ "" — •••"•»• ' • -..—I....— "••*»
    (Percentage Changes from 1969-1974 Level)
    
    
    
    
    ; 	 t
    O
    (—
    O
    CJ
    CJ
    5r^
    yr
    
    
    
    
    
    
    
    
    
    
    
    o>
    Q)
    Oi
    T +20%
    o>
    (£1
    CTl
    g 0%
    o
    t-
    -20%
    OJ
    OT
    | -40%
    0
    O)
    J -60%
    
    +20%
    
    +20%
    
    
    +17%
    
    
    +14%
    
    
    +11%
    
    
    +8%
    c
    0>
    u
    i-
    d)
    o.
    Table 11. lib
    
    0%
    
    +3%
    
    
    0%
    
    
    -3%
    
    
    -6%
    
    
    -9%
    
    
    
    
    
    
    Yearly
    
    -20%
    
    -14%
    ,
    
    -17%
    
    
    -20%
    
    
    -23%
    
    
    -26%
    
    
    
    
    
    
    Maximum
    — NO.. COMTROl
    
    JU t
    
    us
    a! (Percentage Changes
    
    
    _i
    ^
    z
    %
    J
    £
    5
    
    
    
    
    
    
    
    £
    O\
    S +20%
    | 0%
    a>
    % -20%
     -40%
    CT
    § -60%
    o
    +20%
    
    44
    43
    42
    
    41
    
    40
    
    0)
    Q.
    0%
    
    38
    37
    36
    
    34
    
    33
    
    
    
    X
    
    -40%
    
    -31%
    
    
    -34%
    
    
    -37%
    
    
    -40%
    
    
    -43%
    
    
    
    
    
    
    
    -60%
    
    -48%
    
    
    -51%
    
    
    -54%
    
    
    -57%
    
    
    -60%
    
    
    
    
    
    
    N0? Concentrations, pphm
    
    
    
    
    
    
    from 1969- 1974 'Level)
    -20%
    
    31
    30
    29
    
    28
    
    27
    
    
    
    -40%
    
    25
    24
    • 23
    
    22'
    
    21
    
    
    
    -60%
    
    19
    18
    17
    
    16
    .
    15
    
    
    
    

    -------
                                        262
    Table 11.12  The  Effect of NOX and Hydrocarbon Control on Annual
                 Mean N02 at Chicago
    
    
    Table 11.12a   Percentage Changes in Annual  Mean NC^,
    
    
    o
    t—
    2;
    O
    O
    O
    s:
    
    
    
    1
    1
    _>
    j>
    1
    
    
    
    r—
    01
    _J
    1
    Ol
    IO
    E
    s
    VI
    
    _)
    •0
    at
    £
    8
    0)
    en
    c
    5
    s
    a.
    liU l,UM I r.Ul- ~ '
    (Percentage Changes from 1969-1974
    
    +20%
    
    0%
    -20%
    -40%
    -60%
    +20% 0%
    +20% 0%
    
    +20% 0%
    +20% 0%
    +20% 0%
    +20% 0%
    Table 11.12b Annual
    -20%
    -20%
    
    -20%
    -20%
    -20%
    -20% .
    Mean N02
    rnuToni
    -40%
    -40%
    
    -40%
    -40%
    -40%
    -40%
    Level )
    -60%
    -60%
    
    -60%
    -60%
    -60%
    -60%
    Concentrations, pphm
    (Percentage Changes from 1969-1974
    
    +20%
    0%
    -20%
    -40%
    -60%
    +20% 0%
    6.9 5.8
    6.9 5.8
    6.9 5.8
    6.9 5.8
    6.9 5.8
    
    -20%
    *
    4.6
    4.6*
    *
    4.6
    *
    4.6
    *
    4.6
    
    -40%
    *
    3.4
    3.4*
    *
    3.4
    3.4*
    *
    3.4
    
    Level )
    -60%
    2.3*
    2.3*
    *
    2.3
    *
    2.3
    2.3*
    
                                                                           3
                       Attains  federal  annual mean standard of 5.3 pphm (100 yg/m )
    

    -------
                                         263
         The submodels for annual mean N02 indicate that hydrocarbon control
    does yield a modest benefit in daytime N02 averages during the winter.
    However, this benefit is almost exactly cancelled by an increase in
    nighttime N02 averages (in both summer and winter).  N02 levels at night
    are increased by hydrocarbon control because hydrocarbon reductions lead
    to greater levels of N02 in the afternoon.
         Unlike Denver and the Los Angeles sites, yearly maximum N02 in Chicago
    will almost always occur in the summer during the daytime period.   The
    statistical models for peak N02 in the summer at Chicago indicated that
    there was no statistically significant effect from hydrocarbons.   Thus,
    yearly maximum N0? at Chicago should be directly proportional to MOY control
                     *—                                                 f\
    and independent of hydrocarbon control (see Table 11.13).
     11.2.6   Houston/Mae.  Texas
         The Mae  Drive  site  is  located about  two miles north of  the Houston
     Ship Channel,  immediately  downwind of  the large, heavily industrialized
     area that surrounds  the  channel.   The  Mae Drive station can  be considered
     representative of air quality  near a source-intensive area.
         As indicated  by the regression results  in  Appendix  D, the Houston
     sites  (Aldine as well as Mae)  were unique among all  the  sites studied
     in the  sense that  a significant dependence between daytime NQg and
     hydrocarbons was never found,  neither for peak  N02 nor for average  N02,
     neither during winter nor  during summer.   One reason  for  this result
     might be the sparsity of available data  for the Houston  sites,  typically
     about 60 to 90 days for each season as compared to 300 to  700 days  for
     each season at CAMP sites  and  Los Angeles sites.  There  may  have  been
    

    -------
                              264
        Table 11.13  The Effects of Hydrocarbon Control on
                     Yearly Maximum One-Hour N02 at Chicago
    
        Table 11.13a  Percentage Changes in Yearly Maximum N02
    liU lUiilKUI. ' •
    A
    CIT (Percentage Changes from 1969-1974 Level)
    0)
    ni
    
    o
    o
    o
    o
    :c
    
    
    
    
    g
    1
    en
    en +20%
    r~
    | o%
    | -20%
    ra
    * -40%
    O)
    ia
    g -60%
    +20%
    +20%
    +20%
    +20%
    +20%
    
    +20%
    u
    L.
    £
    0%
    0%
    0%
    0%
    0%
    
    0%
    
    Table 11.13b Yearly
    ? NOX (
    > x
    01
    -1 (Percentage Changes
    _i
    £
    |
    J
    C
    ?
    
    
    
    a>
    i
    10
    en
    ^ +20%
    1
    0%
    V)
    | -20%
    o
    S. -40%
    ja
    § -60%
    +20%
    30
    30
    30
    
    30
    30
    0%
    25
    25
    25
    
    25
    25
    -20%
    -20%
    -20%
    -20%
    -20%
    
    -20%
    
    Maximum
    •fiMTRni
    -40%
    -40%
    -40%
    -40%
    -40%
    
    -40%
    
    One-Hour
    -60%
    -60%
    -60%
    -60%
    -60%
    
    -60%
    
    Concentrations, pphir
    from 1969-1974 Level)
    -20%
    20
    20
    20
    
    20
    20
    -40%
    15
    15
    15
    
    15
    15
    -60%
    10
    10
    10
    
    10
    .10
    0)
    

    -------
                                        265
    
    
    
    
    
    Insufficient data for the regressions  to  arrive  at statistically sig-
    
    
    
    nificant hydrocarbon coefficients.   The other  reason would be that no
    
    
    
    hydrocarbon effect actually  exists  for daytime N02 in Houston.  This
    
    
    
    possibility is reasonable because the  NMHC/NO  ratio at Houston is
                                                 A
    
    
    quite high (around 15 to 20),  and because photochemical systems tend
    
    
    
    to be less sensitive to hydrocarbon control  at high NMHC/NO  ratios.
                                                               A
    
    
         The nighttime regressions for  Houston/Mae revealed a significant
    
    
    
    relationship between afternoon oxidant and nighttime NO--  However, we
    
    
    
    were hesitant  to translate  the nighttime  N02/oxidant dependence into a
    
    
    
    control model.   The reason  for caution is that the nighttime model
    
    
    
    requires an assumed_ relationship between  oxidant and the primary pollutants,
    
    
    
    NMHC and NO .  For the  Los  Angeles  and CAMP sites, we had assumed that
               X
    
    
    oxidant would  be proportional  to the NMHC/NO  ratio.  This assumption
                                                 X
    
    
    would be more  dubious for Houston because investigations have shown
    
    
    
    little relationship between  NMHC and oxidant at  Houston[l].  The high
    
    
    
    ambient NMHC/NO   ratio  at Houston also lends doubt concerning the
                   X
    
    
    effectiveness  of small-to-moderate  hydrocarbon reductions on oxidant
    
    
    
    in Houston.
    
    
         Fortunately, our calculations  demonstrated  that the control model
    
    
    
    for annual mean  N02 is  insensitive  to  the assumed relationship between
    
    
    
    oxidant and precursors.  Regardless of what assumption is adopted, the
    
    
    
    control model  indicates that annual mean  N02 is  essentially proportional
    
    
    
    to NO  control,  with very slight changes  produced by hydrocarbon control.
         X
    
    For instance,  if we assume  that afternoon oxidant is proportional to
    

    -------
                                        266
    
    
    
    
    the NMHC/NO  ratio, the control model would indicate that a 50% hydro-
               /v
    
    
    carbon reduction produces only a 6% decrease in annual mean NO,,.  If
    
    
    
    we made a very different assumption, that afternoon oxidant is proportional
    
    
    
    to NO  and independent of hydrocarbons, the control model would indicate
         j\
    
    
    that a 50% hydrocarbon reduction produces a 1% increase in annual mean
         From the above  considerations, we  conclude  that  a  control  model  such
    
    
    
     as  Table  11.12a  (in the Chicago discussion), where annual mean N02 is
    
    
    
     proportional  to  NO  and independent of hydrocarbons, is a good approxi-
                      X
    
    
     mation for Houston/Mae.  The present (1975-1976) level of annual mean
    
    
    
    
     N02 at Houston/Mae is 2.5 pphm.  Managing annual mean N02 air quality at
    
    
    
     Houston/Mae should depend on strategies for NO  emissions only.
                                                  /\
    
    
         The yearly maximum one-hour N02 concentration at Houston/Mae is
    
    
    
     approximately 13 pphm.  The yearly N02 maximum is most likely to occur
    
    
    
     in  the winter season, but is equally likely to occur during the daytime
    
    
    
     and nighttime periods.  The daytime regression equations (Appendix D)
    
    
    
     indicate that the winter daytime N02 peak at Houston/Mae will be pro-
    
    
    
     portional to NO  control and independent of hydrocarbon control.  Thus
                   A
    
    
     a control model  such as Table 11.13a is appropriate for the daytime yearly
    
    
    
     maximum at Houston/Mae.
    
    
    
    
         Calculations based on the nighttime regressions reveal that the
    
    
    
    winter nighttime peak N02 at Houston/Mae will be as sensitive to oxidant
    
    
    
     control  as to NOX control.   Since we are unsure of the relationship
    
    
    
    between oxidant and primary precursors in Houston, we have not constructed
    

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                                         267
    an empirical control model  relating  the winter  nighttime N02 peak to the
    primary precursors.  It  suffices  to  note  that a strategy for reducing
    oxidant at Houston/Mae should  also yield  substantial benefits in terms
    of nighttime yearly  peak N02.  Our calculations show that a 50% reduction
    in oxidant (with  constant N0v) would produce a  30% reduction in the
                                 A
    nighttime yearly  maximum N02 concentration  at Houston/Mae.
    11.2.7  Houston/Aldine.  Texas
         The Houston/Aldine  monitoring site is  located about 12 miles north
    of downtown Houston  and  about  13  miles northeast of the Houston Ship
    Channel.  Since the  dominant wind direction is  from the southeast, the
    Aldine site can be regarded as a  receptor location, about 12 to 13 miles
    downwind of the main source areas in Houston.
         As was the case with the  Mae Drive site, the daytime regressions for
    Houston/Aldine revealed  no significant relationships between daytime N02
     (peak or average) and  NMHC concentrations.  The lack of a statistically
    significant hydrocarbon  effect could be due to  the sparsity of data at
    the  Houston sites.   The  other  possibility is that no hydrocarbon effect
    actually exists for  daytime N02  in Houston.
         The nighttime regression  models for  Houston/Aldine did not provide
    good statistical  fits  to the data.   The winter  nighttime regressions
    achieved a correlation coefficient of less  than 0.6,  and the summer  night-
    time regressions  failed  to produce any statistically significant relation-
    ships between nighttime  N02 and  the  "independent" variables:  afternoon
    N02  (N0216), evening NO  (NITENO), and afternoon ozone (03AFT).
         The failure  of  the  nighttime regression models at Aldine most likely
    results because of the neglect of transport.  Contacts with personnel
    

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                                        268
    of the Texas Air Control  Board [2] indicate that the elevated nighttime
    N02 concentrations at Aldine most likely result from pollution transport
    from the upwind source areas.  Evidence of transport is demonstrated in
    Figure 9.12, which shows that N02> NOX, and NMHC concentrations simultaneously
    jump upwards at about 7:00 PM.  This could be due to the arrival of after-
    noon industrial emissions and evening traffic emissions transported to
    the Aldine site.  The persistence of high oxidant levels as late as 6:00 P.M.
    (see Figure 9.12) is also evidence of transport.  Since the empirical
    models are based on the assumption that transport is not a dominant factor,
    the models may be inappropriate for the Houston/Aldine location.
         The failure of the statistical approach in the case of nighttime
    N0? at Aldine precludes our formulating an empirical control model for
    annual mean N0~ at Aldine; a control model for annual mean N02 would re-
    quire submodels for both the daytime and nighttime periods.  Also, since
    yearly maximal N02 concentrations at Aldine invariably occur during the
    nighttime period, we cannot formulate an empirical control model for peak
                           i
    one-hour N02 at Aldine.
    **
          *
           Note that the results for Aldine also place doubt on our models
     for Azusa and Pomona in Los Angeles.   Azusa and Pomona are downwind
     receptor locations, and they exhibit diurnal patterns similar to Aldine
     (although not as extreme).   In the next chapter, it will be shown that
     the control  models for Azusa and Pomona are not verified by historical
     air quality trends.  The neglect of transport may be inappropriate for
     Azusa and Pomona as well as for Aldine.
         **
           For reference, the reader may wish to note that the present annual
     mean N02 concentration at Aldine is 1.70 pphm.  The yearly one-hour
     maximum is 11 pphm and occurs during the winter nighttime period.
    

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                                        269
    
    
    11.3  REFERENCES
    1.  G. K. Tannahill,  "The  Hydrocarbon/Ozone  Relationship in Texas,"
        presented at  the  Air Pollution  Control Association Conference
        on Ozone/Oxidants,  Texas  Air  Control  Board,  Dallas, March 1976.
    
    2.  0. Price and  T.  Echols, Air Quality  Evaluation Division of the
        Texas Air Control Board,  personal comnunication, May 1977.
    

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                                        270
    
                   12.0  VALIDATION OF EMPIRICAL MODELS AGAINST
                         HISTORICAL AIR QUALITY TRENDS
    
         The empirical N0? control  models developed in this report are subject
    to several limitations:   the omission of meteorological variables, the
    neglect of transport phenomena, and the assumption that precursor changes
    produced by variance in meteorology can be used to model the effect of
    control strategies.  The uncertainties in the models were highlighted in
    Chapter 10, where analyses with weather variables indicated that the
    observed effect of hydrocarbons on N02 might partially be due to unaccounted
    for meteorological factors.  These uncertainties stress the need to conduct
    independent checks of the empirical control models.   Accordingly, this
    chapter checks the predictions  of the models against historical  air quality
    trends.
         Although the empirical models and the historical trends are both
    based on ambient data, the trend studies do provide an independent valida-
    tion of the models.  For one, the trend studies employ several more years
    of data than the empirical models.  Also, the trend studies are based on
    year-to-year changes in precursors and N02, while the empirical models are
    based on day-to-day changes in precursors and N02.
         The procedure for validating the empirical models is quite simple.
    First, best estimates of historical precursor changes are derived based
    on emission trend data and ambient trend data for NOV and NMHC.   Next,
                                                        A
    these historical precursor changes are entered into the control models
    to predict historical N02 trends.  Finally, the predicted trends for N02
    are compared with actual trends for N02<
    

    -------
                                         271
         The validation studies will  be  conducted  for  5  locations:  the
    central Los Angeles area, coastal Los Angeles  area,  inland Los Angeles
    area, Denver, and Chicago.  The empirical control  models for Houston cannot
    be checked against historical  trends because of the  lack of long-term data
    for  the Houston  sites.
    
    12.1  CENTRAL LOS ANGELES AREA
         This section tests  the  empirical control model for Downtown Los Angeles
    against historical air  quality trends.   To  provide generality in the test,
    the  verification is performed  for 3  locations  in the central part of
    the  Los Angeles  basin:   Downtown  Los Angeles (DOLA), Burbank, and Reseda.
    The  verification proceeds  in two  steps.   First,  net  changes in precursor (NOX
    and  NMHC)  levels are  estimated over  the  nine years,  1965 to 1974.  Second,
    the  precursor trends  are entered  into  the control  model, and the resulting
    predictions  of N02 changes  are compared  with actual  N02 trends.
    12.1.1  Precursor Trends.  1965-1974
         Two types of data can  be used to estimate  trends in photochemical pre-
    cursors:   emission data and ambient  precursor  data.  Both are examined
    below  to arrive  at "best estimates"  of precursor trends at DOLA, Burbank,
    and  Reseda.
         Emission Trends
         A recent report  of the Caltech  Environmental  Quality Laboratory  pro-
    vides  emission  trend  data  for the Los  Angeles  region [1].  Figures 12.1 and 12.2
    summarize  the EQL  estimates of basin-wide emission trends for NOX and RHC,
    respectively.   Basin-wide  NOX  emissions  increased  by 35% from  1965 to 1974,
    while  basin-wide RHC  emissions decreased by 18%.  Nearly all of the NOX
    

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                                                272
              1600
              1400
              1200
      YEARLY  1000
      AVERAGE
     TONS/DAY
    (CUMULATIVE)
               800
               600
               400
               200
                                            ^FLIGHT-DUTY VEHICLES
                                             OTHER STATIONARY SOURCES
                  1965    1966    1967    1968   1969     1970   1971     1972    1973    1974
                       Figure 12.1    Total NO   Emission Trends  in the
                                       Los Angefes Basin[l]
    

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                                              273
               2100
               1800
               1500
      YEARLY
      AVERAGE
      TONS/DAY
    (CUMULATIVE)
    1200
                900
                600
                300
                                             LIGHT-DUTY VEHICLE,,
                                           EVAPORATIVE AND CRANKCASE
                                 'LIGHT-DUTY VEHICLE EXHAUS
                                              GASOLINE HEAVY"-DUTY VEHICLE
    
                                                OTHER MOVING SOURCES
                                                  ORGANIC CHEMICAL
                                         ORGANIC FUEL  6 COMBUSTION
                                             ^(GEOGENIC)
                                             ///////////s/s/
                   1965
                           19661967    1968
                                                 1969
                                                        1970    1971    1972    1973
                                                                                      1974
               Fiaure 12.2    Total  Reactive Hydrocarbon  Emission Trends
                  9              in  the Los Angeles  Basin[l]
    

    -------
                                        274
    increase and the RHC decrease resulted from changes In emissions  from
    gasoline-powered motor vehicles.
         The EQL report also documents  emission trends on a county-by-county
    basis.  Because of low growth rates in Los Angeles County  (see  Figure  12.3),
    Los Angeles County emissions decreased relative  to the basin-wide total  emissions.
    Los Angeles County emission changes were +25%  for NOX and  -24%  for RHC from
    1965 to 1974[1].
        Trends in emissions affecting DOLA, Burbank, and Reseda differ from
    countywide emission trends because of variations in the spatial distribution
    of growth and in the specific sources affecting  those 3 locales.   As
    shown  in Figure 12.3, DOLA is in  (and downwind of) an area that has exhibited
    particularly low growth rates.  Burbank is in  a  low-growth area but is near
    moderate-growth areas.  Reseda  lies in a region  of moderate growth.  Esti-
    mating trends in the emissions  that affect these specific  sites requires
    educated guesswork.  Judging from the  results  of the EQL report,  we estimate
    that emissions affecting these  3  sites changed as follows  from  1965 to
    1974:
                           Estimated NOX       Estimated RHC
                         Emission Increase   Emission Decrease
    DOLA
    Burbank
    Reseda
    10%-20%
    15%- 25%
    25%-35%
    30%-40%
    25%- 35%
    15%- 25%
         Ambient NOY Trends
                   A
        An alternative method of estimating precursor trends is to examine
    ambient data.   To minimize statistical fluctuations in the trend estimates,
    

    -------
                                  Los Angeles County
    1.  DOLA
    2.  Burbank
    3.  Reseda
    4.  Lennox
    5.  West L.A.
    6.  Long Beach
    7.  Azusa
    8.  Pomona
           Figure  12.3
    Geographical Distribution  of Percentage Change in Population
    in the Los Angeles Basin,  1965 to 1975 [2]
    

    -------
                                        276
    
    a large sample of air quality data should be used.  The net changes in
    
    ambient NO  listed below are based on changes in three-year averages of
    
    annual mean NOX from 1964-1966 to 1973-1975[3]:
    
    
                                        Net Nine-Year Change
                                        in Annual Mean  NO  *
                                                        A
    DOLA
    Burbank
    Reseda
    + 1%
    + 7%
    +31%
         The  nine-year  change  in ambient NO  at Reseda agrees quite well with
                                          y\
     the  estimated  NOX  emission change  for Reseda.  However, the ambient NO
                                                                          /v
     increases  at DOLA  and  Burbank are  less than the estimated emission increases
    
     for  those  sites.   Part of the discrepancy between emission trends and ambient
    
     trends might be due  to low air pollution potential in 1973-1975[2].  Some
    
     of the discrepancy might  also arise from the potential errors in the emission
    
     trend estimates for  DOLA  and Burbank.
    
         Ambient NMHC Trends
    
         Ambient trend  data for total hydrocarbons  (THC) are available at DOLA
    
     and  Burbank.   Estimating  long-term changes in NMHC concentrations with this
    
     data, however, is  a  tenuous procedure.  Ambient hydrocarbon measurements
    
     are  considerably more  error-prone  than are other monitoring data[4].  Also,
    
     conceptual difficulties arise in translating THC trends into NMHC trends.
        *
         Similar results are obtained if one examines trends in the annual
    average of daily one-hour maximum NOY.
                                        /\
    

    -------
                                         277
         Using  a  very simple procedure to calculate NMHC levels from THC  levels,*
    approximate  estimates  of ambient NMHC trends can be derived.   The  resulting
    estimates  of nine-year changes  in ambient NMHC concentrations  are  as follows^]:
                                           Net Nine-Year Change
                                           in  Annual Mean NMHC
                         DOLA                  -.42%
                         Burbank               -  8%
    
         The ambient NMHC trends at DOLA agree with the estimates  of RHC emission
     trends, but the ambient NMHC reductions at Burbank are significantly  less
     than the estimated RHC emission reductions.  The  discrepancy  at Burbank
     most likely arises from errors in the ambient trends.   In particular, the
     reader should note that hydrocarbon monitoring at Burbank was~discontinued
     from 1966 to 1969[3].
          Best Estimates of Precursor Trends
          By considering both emission trend  data and ambient trend data,  one
     can arrive at  reasonable estimates of precursor changes at DOLA, Burbank,
     and Reseda.  In deriving best estimates  of NOX trends, emphasis should be
     placed on ambient data, because the ambient trends best represent overall
     changes in emissions affecting each location.  Because of uncertainties in
     ambient hydrocarbon trends, emission data should be given greater weight
     in the case of hydrocarbons.
         NMHC trends are estimated from THC trends, using the relation NMHC =
    (THC-lppm)/2 (see Chapter 10).  The accuracy of this formula changes as
    relative THC and NMHC levels alter with time.  This leads to a basic con-
    ceptual difficulty in estimating NMHC trends from THC trends.
    

    -------
                                       278
    
    
        Table 12.1  presents our best estimates of NO  and NMHC trends from
                                                    y\
    
    1965 to 1974 at the 3 central  Los Angeles basin locations.  The estimates
    
    are rounded to  the nearest 5%.   Also presented are approximate error bounds;
    
    these are based on subjective  analysis of the uncertainties.
         Table 12.1   Best Estimates of Nine-Year NOX and NMHC Trends
                     at DOLA,  Burbank, and Reseda
    Station
    DOLA
    Burbank
    Reseda
    12.1.2 Test of the
    NOX Change
    1965-1974
    + 5% - 5%
    +10% - 5%
    +30% - 5%
    Empirical Control Model
    NMHC Change
    1965-1974
    -40% - 10%
    -25% - 10%
    -20% - 10%
    
          The empirical  N02 control  models  for DOLA can  be tested against
    
     historical  air quality trends at DOLA, Burbank,  and Reseda.   The procedure
    
     is very simple.  The  NO  and NMHC trends  in Table 12.1  are entered into  the
                            A
    
     control  models, Table 10.16a for annual mean N02 and Table 10.18 for yearly
    
     maximum N02.    The  resulting predictions  are then compared with actual changes
    
     in N02 concentrations from 1965 to 1974.
    
          Table  12.2 presents the verification test for annual  mean N02.  The
    
     actual and  predicted  changes in annual mean N02 are almost exactly equal
    
     at DOLA and Reseda  and are off  5percentage points at Burbank.
          *
           Tables l().16a and 10.18 present only values up to a +20% NOX change.
     The tables were extended to greater NOX changes 1n order to test tho model
     at Reseda.
    

    -------
                                         279
                    Table 12.2  Test of DOLA Empirical Control
                                Model for Annual Mean N00
    Station
    DOLA
    Burbank
    Reseda
    Average
    Precursor Changes,
    1965-1974
    NOV RHC
    A
    + 5% -405!
    +10% -25%
    +30% -20%
    +15% -282
    Predicted Nine-Year
    Change in Annual
    Mean N02 Cone.
    0%
    + 7%
    +25%
    +11X
    Actual Nine-Year
    Change in Annual
    Mean N07 Cone.
    + n
    +12%
    +23%
    +12%
        Table 12.3 presents the  verification test for yearly one-hour maximal
    
    N02 concentrations.  The  99th  percent!le of daily one-hour maximum N02
    
    is also used in the test,  because  this  air quality index is subject to
    
    less statistical noise than  the  single  yearly maximum value.   The agree-
    
    ment at DOLA and Reseda is again very good.   The discrepancy between
    
    actual and predicted changes at  Burbank is 9 percentage points.
    
    
                   Table 12.3  Test  of DOLA Empirical  Control  Model
                               for Yearly Maximum One-Hour NO?
                                                              C.             +
    Station
    «>LA
    Burbank
    Reseda
    Average
    Precursor
    1965-1974
    NOX
    + 5%
    +10%
    +30%
    +15%
    Changes
    RHC
    -40%
    -25X
    -20%
    -28%
    Predicted Nine-
    Year Change in
    Yearly One-Hour
    Kax. NO,
    4.
    -17%
    - 6%
    +11%
    - 4%
    Actual Nine-Year N02 Cone.
    Tearly One-
    Hour Max.
    -19%
    + 3%
    +19%
    + 1%
    Changes
    99th Percent! le
    of Daily Max.
    - 7%
    + 3%
    + 9%
    + 2X
    
    
    
    
        *Change in three-year average W64-1966 to 1973-1975
    

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                                        280
          In  a  qualitative  sense,  the test of  the  DOLA empirical  control  model
     is extremely encouraging.   The control  model  predicts that hydrocarbon re-
     ductions should decrease yearly maximum N02 relative to yearly average N02;
     this effect has occurred at all 3 monitoring  sites (see actual  trends
     in Tables  12.2 and 12.3).   It is also encouraging that the models for both
     annual mean N02 and yearly maximum N02 exhibit good quantitative accuracy
     at DOLA and Reseda.
    
    12.2  COASTAL LOS ANGELES AREA
         This section tests the empirical  control  model for Lennox against histori-
    cal air quality trends.  The test is performed for  3  coastal locations:
    Lennox, Long Beach, and West Los Angeles.
    12.2.1  Precursor Trends, 1965-1974
         The first part of the verification study is to determine historical
    precursor trends from 1965-1974.  Below, both emission data and ambient
    precursor data are used to arrive at "best estimates" of precursor trends
    at the 3 coastal locations.
         Emission Trends
         Trends in emissions which affect Lennox,  Long Beach, and West Los Angeles
    can be estimated by considering the results of the EQL trend study [1], the
    source mix near the areas [5], and the growth patterns within the Los Angeles
    region (Figure 2.3).  Our estimates of emission changes from 1965 to 1974
    are as follows:
                                    Estimated NOX             Estimated RHC
                                    Emission Increase         Emission Decrease
              Lennox                    5% - 15%                  20%- 30%
              Long Beach                0% - 10%                  25% _ 35%
              West Los Angeles         20% - 30%                  20%- 30%
    

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                                         281
         Ambient  NOV  Trends
                    A
         Trends in ambient NOX are determined by examining changes in three-year
    averages of annual mean NOX, from 1964-1966 to 1973-1975.  These changes
    are as follows:
    
                                  Net Nine-Year  Change
                                 in  Annual Mean NOX
              Lennox                     +5%
              Long Beach                 -16%
              West Los Angeles           +9%
    
          For all  3 sites, ambient NOX increased less than  the  estimated
    change in NOX emissions.  Some of this discrepancy may be due to more
    favorable meteorology in 1973-1975[2].  Also, it should be noted that,
     for these 3 sites, slightly more positive trends for ambient  NOX
     are obtained using three-year averages of daily  peak NOX rather than three-year
    averages of annual mean NO .
                              X
         Ambient NMHC  Trends
         Data on ambient hydrocarbon trends at coastal  sites in Los Angeles
    are available only at Lennox, and only for the years 1970-1975 [3],   For
                                                    *
    those years, the decrease in NMHC concentrations   at Lennox appears to  be
    about one-half of the decrease in NMHC at DOLA.   Using  the nine-year trends
    at DOLA,  extrapolation indicates that the net nine-year change at Lennox
    (1965 to  1974) was a decrease of 20%.   This estimate of ambient NMHC trends
    at Lennox agrees fairly well  with the estimated  RHC emission change.
          *NMHC concentrations are estimated from THC concentrations  as  explained
     previously.
    

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                                         282
    
    
    
    
          Best  Estimates of Precursor Trends
    
    
    
         Table  12.4 presents  our best estimates  of NO  and NMHC trends from
                                                     /\
    
    
    
    1965 to 1974 at the 3 coastal locations.  In obtaining  these best
    
    
    
    
    estimates,  ambient data were given  the greatest weight for NO , and emission
                                                                 /\
    
    
    data were given the greatest weight for NMHC.   Again, approximate error
    
    
    
    bounds are  specified based on a subjective  analysis of the uncertainties.
              Table 12.4  Best Estimates of -Nine-Year NOX and NMHC
    
                          Trends at Lennox, Long Beach, and West LA
    Station
    Lennox
    Long Beach
    West LA
    NOX Change
    1965-1974
    +5% ± 5%
    -10% + 10%
    +15% + 5%
    NMHC Change
    1965-1974
    -25% ± 10%
    -30% ± 10%
    -25% ± 10%
    12.2.2  Test of the Empirical  Control  Model
    
    
    
         To test the empirical  control  model  for Lennox,  the NO  and NMHC trends
                                                               A
    
    
    in Table 12.4 are entered into Tables  11.3a  and 11.4a.   The resulting pre-
    
    
    
    dictions are then compared with actual trends in HOp concentrations" from
    
    
    
    1965 to 1974.
    
    
    
         Table 12.5 presents the test for  annual mean NO^.   The agreement between
    
    
    
    actual and predicted is good at Lennox, fair at West LA, and poor at Long
    
    
    
    Beach.  The discrepancies at West LA and Long Beach could be due to errors
    
    
    
    in the precursor trend  estimates  for  those sites.
    

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                                          283
                  Table 12.5  Test of Lennox Empirical Control Model
                              for Annual Mean N02
    Station
    Lennox
    Long Beach
    West LA
    Average
    Precursor Changes
    1965-1974
    NOX RHC
    +5% -25%
    -W% -30%
    +15% -25%
    +3% .27%
    Predicted Nine-Year
    Change In Annual
    Mean NOg Cone.
    +3%
    -11%
    +13%
    +2%
    Actual Nine-Year
    Change 1n Annual
    Mean N0£ Cone.
    -1%
    +10%
    +22%
    +10%
          Table 12.6 presents the test for yearly one-hour maximal  NO,,.   The
     agreement at Lennox is good.  The agreement at Long Beach and  West  LA  is
     very sensitive to which air quality index is used to measure actual  trends
     in maximal NC^ concentrations.  The statistical noise in the actual  trends
     is quite large for maximal concentrations because they are based  on  few
     observations.
    
                   Table 12.6  Test of Lennox Control Model for
                               Yearly Maximum One-Hour U02
    Station
    Lennox
    Long Beach
    West LA
    Average
    Precursor Changes
    1965-1974
    NOX RHC
    +5% -25%
    -10% -30%
    +15% -25%
    +3% -27%
    Predicted Nine-Year
    Change in Yearly
    One-Hour Max. N02
    -1%
    -14%
    +7%
    -3%
    Actual Nine- Year
    Yearly One-Hour
    Max.
    -3%
    -20%
    +31%
    +3%
    Cone. Changes
    99th Percent! le
    of Daily Max.
    +1%
    +1%
    +6%
    +3%
         Again, in a qualitative sense, the verification study is encouraoing.
    The control model predicts that hydrocarbon control should reduce maximum
    

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                                        284
    N02 relative to yearly average N02.  This effect is apparent in the actual
    N0? trends, especially if the actual trends are averaged over the  3
    locations.
    12.3  INLAND LOS ANGELES AREA
         Empirical control models have been formulated for two eastern/inland
    sites in the Los Angeles basin—Azusa and Pomona.  This section tests those
    models against historical air quality trends.
    12.3.1   Precursor Trends.  1965-1974
         Estimates  of historical  precursor  trends are  required  to  test the
    control  models.   Both  emission  data and ambient  data are  used  to arrive  at
    "best estimates"  of precursor trends at Azusa and  Pomona.
         Emission Trends
         Azusa and  Pomona  are  located in areas  of moderate-to-high  growth rates
    (see Figure 2.3).  Considering  the growth rate of sources near those areas
    and the results of the EQL study [1], we  estimate that emissions  affecting
    Azusa and Pomona changed as follows from  1965 to 1974:
                                   Estimated  NOX        Estimated RHC
                                 Emission  Increase    Emission Decrease
               Azusa                  25%-  35%             15%- 25%
               Pomona                 25%-  35%             15%- 25%
          Ambient NOX Trends
          Trends in ambient NO  are determined by examining changes in three-year
                              /\
     averages of annual mean NOV  from 1964-1965 to 1973-1974.  These results are
                               X
     as follows:
    

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                                          285
                                 Net  Nine-Year Change
                                 in Annual Mean NOX
              Azusa                  +46%
              Pomona                 +25%
    
    Similar results would be obtained if yearly averages of daily maximum one-
    hour NOX were used instead of annual mean NOX concentrations.
         Ambient NMHC Trends
         Ambient hydrocarbon data are available at Azusa for the entire  ten-
    year period.  Estimated NMHC trends at Azusa are a 41% increase or an
    11% increase, using annual mean concentrations and yearly average of daily
    maximum concentrations, respectively.  The increase in ambient hydro-
    carbons directly contradicts the  estimated decrease in RHC emissions.
    Most of the discrepancy probably  arises from potential errors in deter-
    mining ambient NMHC trends.
         Best Estimates of Precursor  Trends
         Table 12.7 presents our best estimates of nine-year trends in precursors
    affecting Azusa and Pomona.  Ambient data were again given the greatest
    weight for NO , while emission estimates were given greatest emphasis for
                 A
    NMHC.  There is a large error bound on the hydrocarbon trend estimates
    because of the discrepancy between RHC emission trend estimates and
    ambient NMHC changes at Azusa.
    

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                                        286
                      Table 12.7  Best Estimates of Nine-Year NOX
                                  and NMHC Trends at Azusa and Pomona
    Station
    Azusa
    Pomona
    NOX Change
    1965-1974
    +40% + 5%
    +25% ± 5%
    NMHC Change
    1965-1974
    -10% + 15%
    -15% ± 15%
      12.3.2  Test of the Empirical Control Models
          The empirical control models for Azusa and Pomona are tested by
      entering the precursor trends in Table 12.7 into the control models
     (Tables  11.6 through 11.9  ).  The resulting predictions of ambient N02
     trends are  then compared  with actual N02 changes from 1965 to 1974.
         Table  12.8 presents the test for annual mean NO^.  The agreement is
     good at  both Azusa and Pomona.  It is interesting to note that the empir-
     ical model  for Pomona indicates a larger hydrocarbon effect than the
     empirical model for Azusa,  and that this agrees with the relative long-
     term trends in annual mean  NCL.
                      Table 12.8  Test of Azusa and Pomona Control
                                  Models for Annual Mean N02
    Station
    Azusa
    Pomona
    Average
    Precursor Changes
    1965-1974
    NOX RHC
    +40% -10%
    +25% -15%
    +33% -13%
    Predicted Nine-Year
    Change in Annual
    Mean N0« Cone.
    +39%
    +17%
    +28%
    Actual Nine- Year
    Change in Annual
    Mean N02 Cone.
    +37%
    +11%
    +24%
          Tables 11.6 and 11.9 were extended to account for the large NO,
    increases at Azusa and Pomona.
    

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                                         287
         Table 12.9 presents the verification test for yearly one-hour maximum
    N02.  The agreement between the model  predictions and the actual trends in
    the 99th percentile of daily maxima  is very good.  However, the agreement
    with actual trends in yearly one-hour  maxima  is fair to poor.
              Table 12.9  Test of Azusa and Pomona Control
                          Models for Yearly One-Hour Maximum N02
    Station
    Azusa
    Pomona
    Average
    Precursor
    Changes
    NOY RHC
    A
    +40% -10%
    +25% -15%
    +33% -13%
    Predicted Nine- Year
    C*V\Sknrt& *i-n Va-av*1 w .
    unange in Tcari y
    One-Hour Max. N0£
    +34%
    +11%
    +23%
    Actual Nine-Year
    Yearly One-Hour
    Max.
    +39%
    +28%
    +34%
    N02 Cone. Changes
    99th Percentile
    of Daily Max.
    +35%
    +11%
    +23%
         In a qualitative sense, the Azusa and Pomona models perform signifi-
    cantly poorer than the models for central and coastal Los Angeles.   The
    Azusa and Pomona models predict that maximum N02 should have been reduced
    relative to annual mean N02 because of hydrocarbon control.  This effect
    is not apparent in the historical air quality trends at Azusa and Pomona.
    There are several possible reasons for this discrepancy.  First, statistical
    air quality fluctuations may be masking a real decline in maximal N02 rela-
    tive to annual mean N02.  Second, our estimates of RHC changes for Azusa
    and Pomona may be in error; it is possible that these high-growth sites
    have not experienced a decrease in hydrocarbons.  Third, the neglect of
    transport, a potential error in all the models, may be a more significant
    

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                                        288
    error at Azusa and Pomona.  Maximal NC^ concentrations at Azusa and Pomona
    occur during the evening, and transport phenomena may be an essential part
    of the evening maxima.  Fourth, the Azusa and Pomona nighttime models may
    contain an invalid assumption.  The benefit of hydrocarbon control on the
    evening maximum occurs because oxidant concentrations are a significant
    factor to the evening NOp maximum.   We have assumed, in all cases, that
    oxidant concentrations are proportional to the RHC/NOX ratio.   This assump-
    tion may be less appropriate for Azusa and Pomona than for the central and
    coastal sites.  Oxidant at Azusa and Pomona would probably depend more on
    overall precursor levels than on the RHC/NOV ratio.
                                               /\
     12.4  DENVER
          This section tests the empirical control model for the Denver CAMP
     site against historical air quality trends at that location.   Unlike
     the Los Angeles cases, where the tests could be performed against nine-
     year trends, the data for Denver permit a check only against five-year
     trends.
     12.4.1  Precursor Trends. 1967-1972
          Estimates of precursor trends are required to test the empirical
     control model.  Best estimates of precursor trends at Denver are derived
     below by examining both emission data and ambient data.
          Emission Trends
          Historical emission trends for Denver have apparently never been
     documented[6,7].  It is possible to derive a very rough estimate of emis-
     sion trends by combining a 1974 emission inventory for Denver[8] with
    

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                                         289
    
    
    national emission trends[9,10]  and with data on growth rates in Denver[ll].
    
    Table 12.10 summarizes  these  results.
    
    
          Table 12.10 indicates that hydrocarbon emissions in the Denver  re-
    
     gion remained essentially unchanged from 1967 to 1974,  while NO   emis-
                                                                   /\
    
     sions increased 35%.  Since we are interested in the period from  1967 to
    
     1972, five years instead of seven, these emission changes should  be  mul-
    
     tiplied by five-sevenths.  Accordingly,  for the period  of interest,  hydro-
    
     carbon emissions remained constant and NOV emissions increased about 25%.
                                              /\
    
          The emission changes derived above  can only be regarded as very
    
     crude estimates.  It has been implicitly assumed that control strategies,
    
     fuel switches, etc., in Denver have paralleled nationwide developments.
    
     It has also been assumed  that  source growth near the CAMP monitor has
    
     paralled growth throughout the Denver AQCR.  The potential error  in  our
    
     estimates of emission  changes  affecting the Denver CAMP site may  be  as
    
     high as + 10%  or 20%.
    
    
          Ambient  NOX Trends
    
          Five-year  trends  in  ambient NO  are determined by examining  the
                                        y\
    
     change in four-year averages of annual mean NOX,  from 1965-1968  to  1970-
    
     1973.  A longer averaging period is chosen for Denver than for Los Angeles
    
     because the Denver data are  less complete and appear to contain more noise.
    
          Annual mean NO  at Denver changed from 6.95 pphm in 1965-1968 to
                        X
    
     8.83 pphm in 1970-1973, an increase of 27%.  This agrees almost  exactly
            Our estimates of annual mean NOX are based on averages of quarterly
      means for NO and N02.  In some cases, the SAROAD output did not list the
      quarterly mean concentration.  When this was the case, we estimated mean
      NO  (or N02J by taking an average of the 50th and 70th percentile concen-
      trations.
    

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                                  290
     Table  12.10   Estimates of Hydrocarbon and NOX Emission
                    Trends  for the  Denver  Region
    
    Source Category
    HYDROCARBONS
    Motor Vehicles
    Aircraft
    Gasoline Marketing
    Other Stationary Sources
    Total
    
    NITROGEN OXIDES
    Motor Vehicles
    Aircraft
    Stationary Sources
    Total
    1974 Emissions
    (Tons/Day) [8]
    199
    6
    12
    21
    238
    
    88
    4
    108
    200
    Nationwide
    Emission
    Change3
    1974 * 1967
    0.85
    1.0
    0.98
    1.06
    
    
    1.24
    1.1
    1.13
    
    Estimated
    Denver Emis-
    sion Changeb
    1974 * 1967
    0.98
    1.15
    1.13
    1.22
    
    Estimated
    Emissions
    in 1967
    (Tons/Day)
    203
    5
    11
    17
    236
    
    1.43
    1.27
    1.30
    
    62
    3
    83
    148
    (a)   Based on EPA documents[9,10].  Note that these two  EPA  documents
         do  not agree in the common year, 1970.  Our estimates for the
         change from 1967 to 1974  are based on relative changes  from
         1967 to 1970[9] and 1970  to 1974[10].
    
    (b)   Nationwide change has been factored by 1.15, the ratio  of the
         seven-year population increase in the Denver Metropolitan Area
         (1.25) to the seven-year  population increase nationwide (1.09),
         [113.
    

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                                      291
    
    
    
    
    with the estimated five-year  increase  in  N0x  emissions, 25%.  Although the
    
    
    
    agreement  is,  no doubt,  partly fortuitous,  it does  provide  us with some con-
    
    
    
    fidence in air estimates  of five-year  NOV trends at the Denver CAMP site.
                                            /\
    
         Ambient NMHC Trends
    
    
    
    
         Ambient hydrocarbon  trend data at Denver are available only for total
    
    
    
    hydrocarbons.   Using an  empirical  formula relating  NMHC to THC at Denver,*
    
    
    
    the THC trends can be transformed  into NMHC trends.  We estimate that an-
    
    
    
    nual average NMHC in Denver changed from  72 pphm in 1965-1968 to 80 pphm
    
    
    
    in 1970-1973,  an increase of  11%.   This disagrees somewhat with the esti-
    
    
    
    mate that  hydrocarbon emissions remained  constant over the five-year period.
    
    
    
         Best  Estimates  of Precursor Trends
    
    
    
         Best  estimates  of precursor trends at  Denver can be derived by con-
    
    
    
    sidering both  the emission trend data  and the ambient trend data.  In
    
    
    
    arriving at  these estimates,  greatest  emphasis should be placed on the
    
    
    
    ambient data because of the crude  nature  of the emission calculations.
    
    
    
    Table  12.11  presents our  best estimates of  NO  and  NMHC trends from 1967
                                                  A
    
    
    to 1972 along  with approximate error bounds based on a subjective anal-
    
    
    
    ysis of the  uncertainties.
                 Table 12.11    Best Estimates  of  Five-Year NOX and NMHC
    
                               Trends  at  Denver
                                      HQ   Change          NMHC Change
    
                  Station             1987-1972            1967-1972
    
    
    
                  Denver              +25% +  5%            +5% + 10%
          "Based on data for 1969-1973, this formula is NMHC =0.6[THC - 135 pphm].
    

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                                     292
    12.4.2  Test of the Empirical Control Model
         The empirical control model can be tested by entering the precursor
    trends in Table 12.11 into the control models for Denver  (Tables  ll.lOa
    and ll.lla).  The resulting predictions of N02 trends are then compared
    with actual five-year trends in ambient N02 concentrations.
         Table 12.12 presents the test for annual mean N02.  The actual in-
    crease in annual mean N02 concentrations  (8%) is significantly less than
    the predicted increase  (26%).  This disagreement probably has little to do
    with hydrocarbon trends since hydrocabon  changes were very small.  The rea-
    son annual mean N02 trends did not follow NOX trends is not obvious, but
    the discrepancy may be  due to errors in the ambient data or undocumented
    changes in monitoring procedures for NO, or NOV.
                                           £      A
    
           Table 12.12   Test of Denver Control Model for Annual Mean N00
    Station
    Denver
    Precursor Changes
    1967-1972
    NOX RHC
    +25% +5%
    Predicted Five-Year
    Change in Annual
    Mean N02 Cone.
    +26%
    Actual Five-Year
    Change in Annual
    Mean N02 Cone.
    +8%
         Table 12.13 presents the test for yearly one-hour maximum NO/,.  Again,
    the actual increase in ambient N02 are less than the increases predicted by
    the control model.  This disagreement would appear to have little to do
    with the hydrocarbon effect since hydrocarbons changed very little over the
    five-year period.
           Based on  change in  four-year averages from 1965-1968 to 1970-1973
    

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                                     293
         Table 12.13  Tests of Denver Control Model for Yearly
                      Maximum One-Hour N00
    Station
    Denver
    Precursor Changes
    1967-1972
    N0¥ RHC
    A
    +25% +5%
    Predicted Five-
    Year Change in Year
    ly One-Hour Max,NOx
    +22%
    Actual Five- Year NO? Cone. Changes
    fc Yearly One- 99th Percent! 1e
    Hour Max. of Daily Max.
    +m +m
         Testing of the empirical control model for Denver against historical
    air quality trends has not been very fruitful.  We cannot really test the
    hydrocarbon effect predicted by the models,since hydrocarbon changes have
    been relatively small over the  five-year test period.  The control models
    indicate that the historical decrease in  the  RHC/NOX ratio should have
    produced a  slight reduction  in  the  ratio  of maximal N02 concentrations
    to mean N02 concentrations.  This effect is not apparent in the actual
    trends.  However, the predicted effect  is so  small that we could not really
    expect to  discern it in  the  ambient trends.
    
    12.5   CHICAGO
          In this section, the empirical  control model  for  the Chicago CAMP
    site  is checked against  historical  trends at  that  location.  The verifi-
    cation study is conducted for  an  eight-year period,  1964 to  1972.
         "Based  on  changes  in four-year averages  from  1965-1968 to  1970-1973.
    Note thaTthe original  data for yearly maxima have been  revised according
    to the results  of our data quality check.
    

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                                      294
    
    
     12.5.1  Precursor Trends. 1964-1972
    
         Best estimates of historical precursor trends in Chicago are derived
    
     below by considering both emission data and ambient precursor data.
    
    
         Emissions
    
         Contacts with air pollution control agencies in Chicago[12,13] re-
    
     veal that a study of historical emission trends has never been conducted
    
     for that region.  Following the procedures used for Denver, crude esti-
    
     mates of historical emission trends can be derived for Chicago.  These
    
     results are summarized in Table 12.14.  Table 12.14 indicates that hydro-
    
     carbon emissions in Chicago remained nearly constant from 1964 to 1972,
    
     while NO  emissions increased by 33%.
            A
    
         As was the case with Denver, the emission trend estimates for Chicago
    
     must be regarded as very approximate.  The potential  errors in the esti-
    
     mates of emission changes affecting the Chicago CAMP site may be as great
    
     as + 10%  to 20%.
    
         Ambient NOX Trends
    
    
         Eight-year trends in ambient NO  at Chicago are determined from the
                                        X
    
    change  in  four-year averages  of annual  mean NOX,  from 1962-1965  to  1970-1973.:
    
     Annual mean NOY at Chicago changed from 7.03 pphm in 1962-1965 to 9.93 pphm
                  yv
    
     in 1970-1973, a net increase of 41%.  This is in fair agreement with the
    
     estimated emission increase of 33%.
    
         Ambient NMHC Trends
    
         Ambient hydrocarbon trend data at Chicago are available only for
    
     total hydrocarbons.  The THC trends can be transformed into NMHC trends
         *
          Data for 1971 have been omitted for NO   and N02  because  of  problems
    with the Chicago NO? monitor during that year.  The  poor  quality  of
    data during parts of 1971  is obvious from a scan of  the hourly data.
    

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                                           295
    Table 12.14  Estimates of Hydrocarbon and NOX  Emission  Trends  for Chicago
    Source Category
    HYDROCARBONS
    Motor Vehicles
    Aircraft
    Gasoline Marketing
    Other Stationary Sources
    Total
    NITROGEN OXIDES
    Motor Vehicles
    Aircraft
    Stationary Sources
    Total
    1972 Emissions3
    (Tons/Day)
    192
    12b
    35
    124
    363
    132
    8b
    179
    319
    Nationwide
    Emission
    Change0
    1972 T 1964
    0.95
    1.15
    0.96
    1.14
    
    1.29
    1.25
    1.43
    Estimated
    Chicago
    Emission
    Changed
    1972 * 1964
    0.93
    1.13
    0.94
    1.12
    
    1.26
    1.23
    1.40
    Estimated
    Emissions
    in 1964
    (Tons/Day)
    206
    11
    37
    111
    365
    105
    7
    128
    240
        (a)  A 1973 inventory was obtained from reference [13].   We made some
             slight adjustments  to make this inventory representative of 1972.
    
        (b)  The aircraft emission data available from reference  [13] seemed
             highly dubious, especially in the ratio of hydrocarbon to NOX
             emissions.   We have adjusted the aircraft emissions  somewhat,
             decreasing  them for hydrocarbons and increasing  them for NOX.
             Since  this  is a minor source category, these adjustments are not
             of great  consequence.
    
        (c)  Based  on  EPA documents[9,10].  Note that these two EPA documents
             do not agree in the common year, 1970.  Our estimates for the
             change from 1964 to 1972 are based on relative changes from 1964
             to 1970[9]  and 1970 to 1972[10].
    
        (d)  Nationwide  change has been factored byO.98, the  ratio of eight-
             year population increase in the Chicago region (1.08) to the
             eight-year  population increase nationwide (1.10)[11].
    

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                                     296
    using an empirical formula relating THC to NMHC.*  In this way, we esti-
    mate that annual average NMHC concentrations at Chicago changed from
    136 pphm in 1962-1965 to 90 pphm in 1970-1973.  This decrease in ambient
    NMHC, 36%, differs greatly from our estimate that hydrocarbon emissions
    did not change from 1964 to 1972.
         One possible reason for the discrepancy between estimated hydro-
    carbon emissions trends and ambient trends could be errors in the ambient
    data.  As noted previously, ambient hydrocarbon data tend to be of poorer
    quality than other types of aerometric data[4].
         A second reason for the discrepancy could be that the estimate of
    hydrocarbon emission trends  in  Chicago is overly conservative.  Contacts
    with  the  City of  Chicago Department of Environmental Control reveal that
    their control program did  not start to focus on hydrocarbons until 1975.
    However,  from 1964 to 1974 an exodus of some large emission sources from
    Chicago apparently did  occur for economic reasons.  This exodus of emis-
    sion  sources may  have reduced hydrocarbon emissions in Chicago relative
    to  our estimates  based  on  population growth patterns and nationwide con-
    trol strategies.
          Best Estimates  of Precursor Trends
         Table 12.15  presents  our best estimates of precursor trends  in
    Chicago from 1964 to 1972.   In  arriving at  these estimates, greatest  em-
    phasis has been placed  on  ambient  trend data because of  the crude nature
    of  the emission calculations.
          Based  on  data  for  1969-1973,  this  formula is  NMHC = .6[THC - 78 pphm].
    

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                                      297
              Table 12.15   Best Estimates of Eight-Year NOX
                            Trends at Chicago
                           md NMHC
                   Station
    
                  Chicago
    NOX Change
    1964-1972
    +40% +
    NMHC Change
    1964-1972
    
    -25% + 20%
    12.5.2  Test of the Empirical Control Model
    
         Table 12.16 presents  the test of the empirical control model for an-
    
    nual mean N02 at Chicago.  The predicted  eight-year change in  annual mean N02
    
    is based on Table 11.12a,which indicates annual mean N02 should be directly
    
    proportional to NO  control with no effect from hydrocarbon reductions.
                      A
    
    The agreement between  predicted trends and actual trends for annual mean
    
    N02 is quite good.
    
    
                Table 12.16    Test of the Chicago Control Model for
                               Annual Mean N02
    Station
    
    Chicago
    Precursor Changes
    1967-1972
    NOV RHC
    +40% -20%
    Predicted Eight- Year
    Change in Annual
    Mean N02 Cone.
    +40%
    Actual Eight- Year
    Change in Annual
    Mean N02 Cone.
    +38%
         Table 12.17 presents the test of the empirical control  model  for
    
    yearly maximum N02-  The empirical control model (Table 11.13a)  indi-
    
    cates that yearly maximum one-hour N02 should be directly proportional
    
    to NO  control and independent of hydrocarbons.  However, the historical
          Based on change  in  four-year average from  1962-1965 to 1970-1973.
    

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                                         298
    NOp trends indicate that maximal N02 concentrations have decreased
    relative to NO  concentrations.
                  /\
             Table 12.17   Test of the Chicago Control  Model for Yearly
                           Maximum One-Hour NO,,
    Station
    
    Chicago
    Precursor Changes
    1964-1972
    NOX RHC
    +40% -20%
    Predicted
    Eight-Year
    Change in Yearly
    One-Hour Max. N02
    +40%
    Actual Eight-Year N02 Cone. Changes
    Yearly One- 99th Percent! 1e
    Hour Max. of Daily Max.
    +15%
    +26%
         The historical trends for annual  mean NQg confirm the predictions of
    the empirical control models for Chicago, but the historical  trends for
    maximal NOg do not.  The historical  trends for maximal NOg appear to be
    more consistent with the empirical control models for other cities, which
    indicated that hydrocarbon reductions  would yield a benefit in terms of
    maximal N02 concentrations.  It is possible that this hydrocarbon effect
    really does occur in Chicago during the summer daytime period (the season
    and time when the yearly maximum occurs), but that the statistical model
    for the summer daytime period in Chicago somehow failed to discern the ef-
    fect.   In this regard, it should be noted that the statistical model for
    the winter daytime period in Chicago did indicate a significant hydrocar-
    bon effect.
           Based on change in four-year average from 1962-1965 to 1970-1973.
     Note that the original data for yearly maxima have been revised according
     to the results of our data quality check.
    

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                                        299
    12.6  SUMMARY OF VALIDATION STUDIES
    
         Validation studies for the empirical N02 control models have been
    conducted for  5 areas:   the  central  Los  Angeles  area,  coastal Los Angeles
    area, inland Los Angeles area, Denver, and Chicago.  In the central  and
    coastal Los Angeles areas, the model predictions agreed quite well with his-
    torical N02 trends.  The historical air  quality trends in these 2 areas
    confirmed the conclusion that hydrocarbon reductions would have little im-
    pact on annual mean N02 concentrations but would bring moderate benefits
    in terms of maximal N02 concentrations.
          The test for the inland Los Angeles area was less successful.   The
    historical air quality trends did not confirm the model predictions  that
    hydrocarbon control would reduce maximal N02 concentrations relative to
    mean N02 concentrations.  Several reasons for the disagreement between
    predicted and actual trends at the inland Los Angeles sites have been
    discussed in Section 12.3.2.   In particular, we noted that the neglect
    of transport and the assumed relationship of oxidant to the NMHC/NOX ratio
    may be least appropriate for the inland  Los Angeles sites.
          Historical trends at Denver did not provide  a  proper test for
    the empirical control model.  The existence of a hydrocarbon effect on
    N02 concentrations could not be checked  with trend data because hydrocar-
    bon levels remained essentially unchanged at Denver  during the period of
    interest.
           At Chicago,  the  empirical  models  indicated that  hydrocarbons  would
    affect  neither annual  mean nor yearly maximal  N02 concentrations.   The
    

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                                        300
    historical trends confirmed this conclusion for annual mean  N02>  but
    seemed to indicate that yearly maximum N02 had been reduced  by  hydrocarbon
    control.
          In a general way, the studies of historical air quality trends
    do seem to confirm the qualitative conclusions of the empirical control
    models.  Although the empirical control models vary with location, season,
    and time of day, three general conclusions are apparent:
          1.   With other factors held constant, annual mean and yearly
              maximum N02 concentrations are directly proportional to
              NOX control.
          2.   Hydrocarbon control  provides very slight, essentially negli-
              gible, benefits in terms of annual  mean NO,, concentrations.
          3.   Hydrocarbon control  provides moderate (less than proportional)
              reductions in yearly maximal N02 concentrations.
    In an aggregated sense, these conclusions are supported by historical
    trends at the 4 study locations that have experienced  hydrocarbon
    reductions.  Table 12.18 summarizes this agreement.  It is evident that
    hydrocarbon control has generally been associated with little effect on
    annual mean N02 concentrations and with moderate benefits in terms of
    yearly maximal N02 concentrations.
    

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                            301
    Table 12.18  Summary of Historical Precursor Trends
                 and Ambient NOg Trends for the 4 Study Areas
                 Experiencing Significant Hydrocarbon
                 Control
    Locati on
    CENTRAL LOS ANGELES AREA
    (DOLA, Burbank, Reseda)
    COASTAL LOS ANGELES AREA
    (Lennox, Lonq Beach,
    West LA)
    INLAND LOS ANGELES AREA
    (Azusa, Pomona)
    CHICAGO CAMP SITE
    AVERAGE OF 4 AREAS
    Trend
    Period
    (Years)
    9
    9
    9
    8
    
    Precursor
    NOX
    +15%
    +3%
    +33%
    +40%
    +23%
    Changes
    RHC
    •28%
    -27%
    -13%
    -25%
    -23%
    Ambient
    Annual
    Mean
    +12%
    +10%
    +24%
    +38%
    +21%
    N02 Changes
    99th Per-
    cent! le of
    Daily Maxima
    +2%
    +3%
    +23%
    +26%
    +14%
    

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                                         302
    
     12.7  REFERENCES
    
    
     1.  J.  Trijonis, T.  Peng,  G.  McRae,  and L.  Lees,  "Emissions  and  Air
         Quality Trends  in the  South  Coast Air  Basin,"  EQL  Memorandum No.  16,
         Environmental Quality  Laboratory, California  Institute of Technology,
         January 1976.
    
     2.  Y.  Horie and J.  Trijonis, "Analysis and Interpretation of Trends  in
         Air Quality and Population Exposure in  the  Los Angeles Basin,"  pre-
         pared for EPA Monitoring  and Data Analysis  Division by Technology
         Service Corporation under Contract No.  68-02-2318, March 1977.
    
     3.  California Air  Resources  Board,  Air Analysis  Section, "Ten-Year
         Summary of California  Air Quality Data, 1963-1972" and Supplements
         for 1973-1975,  January 1974.
    
     4.  J.  Eldon and J.  Trijonis, "Statistical  Oxidant/Precursor Relationships
         for the Los Angeles Region,"  Interim Report No.  1, "Data Quality
         Review and Evaluation," prepared for California  ARB under Contract
         No. AS-020-87,  January 1977.
    
     5.  J.  Trijonis, G.  Richard,  K.  Crawford,  R.  Tan,  and  R. Wada, "An
         Implementation  Plan for Suspended Particulate  Matter in  the  Los Angeles
         Region," prepared for  EPA by TRW Environmental Services  under Contract
         No. 68-02-1384,  March  1975.
    
     6.  D.  Wells, EPA Region VIII, Denver, personal communication, March  1977.
    
     7.  W.  Rieser, Air  Pollution  Control  Division,  Colorado Department  of
         Public Health,  personal communication,  March  1977.
    
     8.  Colorado Department of Public Health, Air Pollution Control  Division,
         "Analysis of Air Quality  in  the  Denver Air  Quality Maintenance  Area,"
         March 1977.
    
     9.  J.  Cavender, D.  Kischer,  and A.  Hoffman,  "Nationwide Air Pollutant
         Emission Trends, 1940-1970,"  EPA Office of  Air Quality Planning and
         Standards, January 1973.
    
    10.  EPA Monitoring  and Data Analysis Division,  "National Air Quality  and
         Emissions Trends Report,  1975,"  Office  of Air Quality Planning  and
         Standards, November 1976.
    
    11.  U.  S. Department of Commerce, "Statistical  Abstract of the United
         States, 1975,"  Bureau  of  the Census, 1975.
    
    12.  R.  LaMorte, Cook County Bureau of Air  Pollution  Control, personal
         communication,  March 1977.
    
    13.  James Masterson, City  of  Chicago Department of Environmental Control,
         personal communication, March 1977.
    

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                                          303
    13.0  COMPARISON OF EMPIRICAL MODELS AGAINST SMOG-CHAMBER RESULTS
    
         Section 7.1 of this report reviewed smog-chamber results concerning the
    dependence of N02 on the photochemical precursors, NOY and NMHC.   The review
                                                         y\
    indicated that the various experimental studies agreed with respect to the
    dependence of N02 on NOX input; both annual mean and yearly maximum N02 con-
    centrations should be approximately proportional to NOV input.   The various
                                                          A
    chamber studies disagreed somewhat concerning the dependence of N02 on hydro-
    carbon input.  However, we were able to arrive at the following consensus
     based on  the  chamber studies:   Fifty-percent  hydrocarbon control should
     have little effect—a change of +10  on mean N02  concentrations—but should
     yield moderate benefits—a  reduction of 10% to  20%—in terms of maximal N02-
         The purpose of this chapter is to check the empirical  control  models
    against the conclusions based on smog-chamber experiments.   In  order to provide
    an appropriate basis for the comparison, we will consider only  the daytime
    empirical models.  The durations of the various smog-chamber tests ranged
    from six to twelve hours; thus, the chamber experiments basically represent
    daytime conditions.
         The empirical control models for all  8  cities  concur with the  smog-
    chamber results concerning the dependence of N02 on NOX control.   The empirical
    models indicate that, with other factors held constant, mean and maximum N02
    concentrations are approximately proportional to NOX input.  The slight
    deviations from proportionality that sometimes occur in the empirical models
    

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                                      304
    are all in the direction of a less-than-proportional relationship.  Some of
    the smog-chamber experiments indicate similar slight deviations away from
                                                         *
    proportionality (see Figures 7.1, 7.2, 7.3, and 7.7).
         A more crucial test of the empirical control models involves the hydro-
    carbon effect.  Tables 13.1 and 13.2 summarize the hydrocarbon effect
    predicted by the winter/daytime and summer/daytime models, respectively.
    Table 13.1 indicates that, at the  6  non-Houston sites, the predictions
    for winter/daytime maximum N02 agree extremely well with the conclusions
    based on smog-chamber results.  For a 50% hydrocarbon reduction, the
    predicted changes in winter/daytime maxima range from an 8% decrease to
    a 25% decrease and average a 15% decrease over the  6  non-Houston sites.
    These results compare very well with the 10%  to 20% decrease  in maximal
    N02 indicated by our review of smog-chamber studies.
         The empirical models indicate that 50% hydrocarbon control should produce
    anywhere  from a 19% decrease to an 8% increase in winter/daytime mean N02.
    The average of the predicted changes for the  6  non-Houston sites is an
    8% decrease.  These results are fairly consistent with the conclusion based
    on the smog-chamber studies, that a 50% reduction in hydrocarbons could change
    mean N02 by about * 10%.
         The empirical control models generally indicate smaller hydrocarbon
    effects in summer than in winter.  For  50%  hydrocarbon control, pre-
    dicted effects on  summer daytime maximal  N02 range from no change to
    a 19% decrease.  The average predicted reduction in the summer maximum is
    10% for the 6 non-Houston sites.    The empirical models indicate that 50%
         *
          The reason for these deviations is discussed in Chapter 14.
    

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                                 305
         Table 13.1  Predicted  Impact of a 50% Hydrocarbon
                      Reduction  on Daytime N02 in the Winter
    Empirical Model
    Downtown Los Angeles
    Lennox
    Azusa
    Pomona
    Denver
    Chicago
    Houston/Mae
    Houston/Aldine
    Effect on Winter /Day time
    Maximum* N02
    -25%
    -10%
    -15%
    -20%
    - 8%
    -14%
    0%
    0%
    Effect on Winter/Daytime
    Mean N02
    -14%
    - 5%
    - 8%
    -19%
    + 8%
    - 8%
    0%
    0%
     Maximum one-hour N02  during the entire season
         Table 13.2   Predicted Impact of a  50%  Hydrocarbon
                      Reduction on Daytime N02 in  the Summer
    Empirical Model
    Downtown Los Angeles
    Lennox
    Azusa
    Pomona
    Denver
    Chicago
    Houston/Mae
    Houston/Aldine
    Effect on Summer/Daytime
    Maximum* N02
    -19%
    -16%
    0%
    -17%
    - 5%
    0%
    0%
    0%
    Effect on Summer/ Day time
    Mean N02
    - 6%
    - 4%
    + 1%
    - 9%
    - 7%
    0%
    0%
    0%
    *Maximum one-hour N02 during the entire season
    

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                                       306
    
    hydrocarbon control would produce anywhere from a ]% increase to a 9%
    decrease in summer/daytime mean NC^.   The average predicted change over the
    6 non - Houston sites is a 4% decrease.   These summer results are also very
    consistent with the conclusions based on smog-chamber tests.
         The reader may be concerned about the differences in the hydrocarbon
    effect predicted for different locations.  One possibility is that the
    hydrocarbon effect is universal and that the differences  between cities
    are a product of the errors, or limitations, in the empirical models.   In
    this case, the aggregate conclusions, that a 50% hydrocarbon reduction would
    decrease maximal N02 by 10% to 20% and would yield very slight (if any)
    benefits in mean Nt^* is most useful.  The other possibility is that the
    NOg/hydrocarbon relationship varies with location, depending on clima-
    tology, the existing NMHC/NOV ratio,  and other factors.  That the hydro-
                                A
    carbon effect may depend on local conditions is supported by the variance
    in the observed l^/hydrocarbon relationship under different smog-chamber
    conditions.  All considered, the variability in the hydrocarbon effect
    observed at the 8 locations  is probably due to both factors, errors in
    the empirical models and dependence of the hydrocarbon effect on local
    conditions.
    

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                                         307
    
              14.0  CONCLUSIONS OF THE EMPIRICAL MODELING STUDY
    
         The objective for Part II of this project was to characterize the
    relationship between N02 and  precursors by statistical analysis of air
    monitoring data.  In line with this  objective, we have formulated empiri-
    cal control models for nitrogen  dioxide, applied these models to  8       ;
    cities, and tested them against  smog-chamber results and historical  air
    quality trends.  This chapter summarizes the main conclusions resulting
    from the investigation.
    14.1  SUMMARY OF THE  8-CITY STUDY
         The empirical control models for nitrogen dioxide are based on re-
    gression equations between N02 and precursors, and on certain simple
    physical assumptions.  The control models for annual mean N02  involve
    synthesis of submodels for daytime average N02 and nighttime average N02,
    for both summer and winter.   The control models for yearly one-hour
    maximal N02 are derived from  submodels for peak N02 under the conditions
    (e.g., season and time of day) when  the yearly maximum is likely to  occur.
         The formulations of empirical models for the  8 selected  locations
    proceeded smoothly with the exception of nighttime models for the 2
    Houston locations.  Lack of nighttime models for Houston/Mae and
    Houston/Aldine precluded development of annual mean or yearly maximum
    control models for those  2  sites.    Accordingly, this summary is restricted
    to the  6 other sites studied.
    

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                                        308
    
    14.1.1  Dependence of N02 on NOX
    
         The empirical models for all  6  locations   (as well as the daytime
    models for the  2  Houston  sites)  point to the basic conclusion that
    both annual mean N02 and yearly maximal N02 are essentially proportional
    to NOX input.  With other factors held constant, reducing NOX by 50%
    should halve both mean and maximal NOo concentrations.
         The slight deviations away from proportionality that sometimes occur
    in the empirical models are all in the direction of a less-than-proportional
    relationship.  As noted in Chapter 13, similar slight deviations away from
    proportionality are often observed in smog-chamber simulations.  The empiri-
    cal models exhibit these deviations only when a significant hydrocarbon
    effect exists (e.g., as in most of the models for yearly maximum N02). The
    slight deviations from proportionality result because reducing NOV has the
                                                                     X
    side effect of raising the NMHC/NOV ratio; this increase in the ratio may
                                      A
    produce an increase in NO? relative to NO .
                             t               A
         The conclusion that, with other factors held constant, N02 concentrations
    are essentially proportional to NO  input is supported by smog-chamber results
                                      A
    and historical trends.  This conclusion is also considered reasonable on
    basic physical and chemical grounds.
    14.1.2  Dependence of N02 on Hydrocarbons
         Table 14.1 summarizes the effect of hydrocarbon control on yearly
    one-hour maximum N02 and on annual mean N02-  Although the results vary
    from site to site, the aggregate conclusion is that 50% hydrocarbon control
    should yield slight-to-moderate reductions (about 10% to 15%) in yearly
    

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                                            309
    
    maximum N02 and essentially negligible benefits  (about 0%to 5%) in annual
    mean N02.   As shown in previous chapters, this general conclusion is sup-
    ported quite well by smog-chamber results and historical  air quality trends.
                 Table 14.1   Predicted Impact of a  50%  Hydrocarbon
                              On* Sn   M°n.Annual Mean N0?  and  Yearly
                              One-Hour Maximum N0?        2
    
    1
    Empirical Model
    
    Downtown Los Angeles
    
    Lennox
    
    Azusa
    
    Pomona
    
    Denver
    
    Chicago
    
    Effect on Yearly One-
    Hour Maximum N0£
    *
    -25%
    *
    -10%
    **
    -6%
    **
    -19%
    it
    -8%
    ***
    0%
    Average for 6 Locations -11.32
    
    Effect on Annual
    Mean N02
    
    -6%
    
    -2%
    
    -2%
    
    -n%
    
    +5%
    
    0%
    -2.7%
    Effect on the
    Maximum/ Mean
    Ratio for N02
    
    -20%
    
    -8%
    
    -4%
    
    -9%
    
    -12%
    
    0%
    -8.8%
                 Maximum occurs in winter/daytime period.
               **
                 Maximum occurs in winter/nighttime period.
              ***
                Maximum occurs in summer/daytime period.
    

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                                         310
          Table  14.1  seems  to  indicate  that the model  predictions  for the
     maximum/mean  N02 ratio are more  consistent from city  to  city  than are
     the  predictions  for  the yearly maximum N02 or annual  mean  N02.   Where
     hydrocarbon control  yields relatively high (or low) benefits  in  terms
     of maximal  N02,  hydrocarbon  control  also yields relatively high  (or  low)
     benefits  in terms  of mean N02.   As remarked in Chapter 7,  the various  smog-
     chamber studies  agreed that  hydrocarbon control should reduce the maximal/
     mean N02  ratio but disagreed as  to how this decrease  would be produced  (i.e.,
     decreasing  the maximum with no change in the mean vs.  increasing  the mean
     with  no change in  the maximum).  Thus, there appears  to be consistency
     between the types  of variations observed in different smog-chamber studies
     and  the types of variations observed in empirical models for different
     cities.
          The variations  in  the empirical models among cities can be due either
     to errors in  the individual models or to real variations in the N02/precursor
     relationship  from  one  location to the next.  The differences in the N02/pre-
     cursor relationship found in different smog-chamber studies indicate  the latter
    cause is  certainly a  possibility.  However,  considering  the potential  errors
     in the empirical models, we are more sure of the general conclusions con-
     cerning the N02/precursor relationship than we are of the  specific models
     for  individual cities.
     14.2  CONFIDENCE IN THE RESULTS
          The empirical control models developed here are  subject to  several
     limitations:  the  omission of meteorological variables,  the neglect of
     transport,  and the assumption that precursor changes  produced by variance
    

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                                          311
     in meteorology  can  be  used to  model  the  effect of  control  strageties.  The
     potential  importance of these  limitations  was  stressed  in  Chapter 10, where
     analyses with weather  variables  indicated  that the observed effect of hydro-
     carbons on N02  might be partially an artifact  produced  by  unaccounted for
     meteorological  factors.   Because of  the  uncertainties in the simplified em-
     pirical models  we have employed, we  could  not  place great  confidence in our
     understanding of the N02/precursor relationship if it were based solely on
     the empirical models.
          We become much more confident of our  understanding of the N02/precursor
     relationship when we consider  the empirical models in conjunction with
     smog-chamber studies and historical  trend  analysis.  All three approaches
     yield results that are  consistent with the same general  conclusions:
          •  With other factors held  constant, yearly maximal and annual
             mean N02 concentrations  are  essentially proportional  to NOX
             input.
          •  Hydrocarbon control yields slight-to-moderate benefits in
             yearly maximal  one-hour  N0£; reducing hydrocarbons by 50%
             should decrease yearly maximal N0£ by about 10%  to 20%.
          •  Hydrocarbon control yields very  slight, essentially negligible,
             benefits in annual average N02>
          •  The exact form  of  the  N02/precursor relationship may vary some-
             what from one  location to the next,depending on climatic conditions,
             reaction times, and the  existing hydrocarbon/NOx ratio.
    Although empirical models,  smog-chamber simulations, and historical  trend
    studies all involve uncertainties, the overall agreement between the  three
                >
    types of analyses indicates that  we do have a basic understanding of the
    dependence of ambient H09 concentrations  on precursor control.
    

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                         312
                  APPENDIX A
      STATION-YEARS WITH 75% COMPLETE DATA ON
         SAROAD AS OF 3-6-76 (INCLUDES
    CORRECTIONS DISCOVERED IN DATA QUALITY CHECK)
    

    -------
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                                                                                      656  169.0
                                                                             361
              7t4
    244
    101
    33ft
    120
    226
     94
     9«
    113
     94
     75
     75
     56
     94
    169
    150
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              696 11&«0
                                                                           150
                                                                 150
                                                                 169
    470
    338
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     94
     94
    132
    282
    207
    150
    207
    226
    262
    226
                                                                                       902
                                                                                       696
                                                                                       207
                                                                                       204
                                                                                       338
                                                                                       207
                                                                                       207
                                                                           169
                                                                           863
                                                                           583
                                                                           J76
                                                                                     414
                                                                                       620
                                                                                       470
                                                                                       utft
                                           105,0
                                           *7,0
                                           34.0
                                           53.0
                                           37.0
                                           26,0
                                           32.0
                                           26,0
                                           49,0
                                           7o.O
                                           71.0
                                           57.0
                                           53,0
                                           58.0
                                           73,0
                                           64,0
                                           fcP ft
                    144.1
                    120.5
                    106,2
                    117.1
                     59,9
                     68,7
                     88,8
                     83.2
                     89.3
                    110,4
                     99,0
                    103,2
                    IU.9
                     92.7
                    110.8
                                                                                                          . 7
                                                                                                        n.9
                                                                                                        83.6
                                                  9*. 9
                                                  96.1
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                                                  16.8
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                                                                                      27.«
                                                                                      23.6
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                                                                                      59.0
                                                                                      48. V
                                                                                      41.9
                                                                                      42.7
                                                                                      53.9
                                                                                      47.2
                                                                                      it tl 1
                                                                                                            1.9
                                                                                                            1.9
                                                                                                            1.8
                                                                                                            1.9
                                                                                                            2.6
                                                           2.3
                                                           2.2
                                                           2,1
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                                                                                               .**«:•
                                                                                                          a.o
                                                                                         •=»••
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                                                                                         1,6
                                                                                         1.7
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                                                                                         2.2
                                                                                         1.6
                                                                                         1.5
                                                                                         1.7
                                                                                         2.4
                                                                                         1.9
                                                                                         1.8
                                                                                         2.0
                                  2.3
                                  2.4
                                                                                                                      (ft
    

    -------
    91 *f ll-
                           "fit-! TOR
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                                            HCIUH5
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                      C*L
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                      CAL
                            CAL
                                         (970
                        197a
                        1972
                        1V7
          56
    169
    169
    150
    150
    132
     75
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     75
     56
    2?6
    244
    244
                                                                                  261
                                                                              9«
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          301
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               188
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    113
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    35>7
    176
    376
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    470
    376
    414
    470
    357
    188
    169
    112
    620
    75.0
    7b,0
    6/.0
    70,0
    6U.O
    28,0
    2o.O
    32,0
    24.0
    93,0
                                                                     677 109,0
                                                                     639 lOb.O
                                                                     620 106,0
                                                                     696 121.0
                                                                     «8« 138.0
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                                                                 94
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              64.0
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              56.0
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    -------
    SMI JON
                         6TATF:
                                           NUMBER
                                 IOTH JOTH bOTH 70TH 901" 95TM 99TH
                                 MJCRU6HAMS PER CUBIC
                                                                                       MAX
                                                                                                        GfcO*
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                                                                                                         810  DtV
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                                         1969
                                         1971
                                         1972
                                   1974
                                         1971
    I
    1
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    J  1974
    1  I9?.l
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    1
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     f  1974
                                    19f>7
                                    1968
                                    T97Q
                                         1964
                                         1P74
                                    !<«»>/
                                    1969
                                    1996
    6232
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                                                               56   75
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                                                                             150
                                                                             113
                                                                             ISO
    113
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                                                                                  488
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                                                                             132
                                                                             113
              132
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              150
         168
         263
         202
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                                                                It?
                                                                113
                                                                113
                                                                m
                                                                113
                                                                113
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              207
              226
                                                                                  13?
                                                                                  320
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    376
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    282
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    186
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    S«>5
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    52.0
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    64.0
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                    32.V
                    71.2
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    2.3
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             1.9
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             2,2
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                                                                                                                            CO
    

    -------
    S i Al
    CMf  t>IATt  .-in.iITriK
                 'tfcTHOLi
                                       YLAK
                                                             JOTH StifH  iO'lH 70TH  90IH 95TH 991H  MAX AHITti  GEO*     GtOM
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    -------
                 j-JT» ilAfe
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                                                                                                                           PAGE   9
                        NE"
                                       1974
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                                   1
                                   I
                                   i.
                                   1
                                       19/1,
                                       19'0
                                       1V /«
                                       1<»74
                                       1^73
                   I97b
                                                 7576
    21
    9
    19
    9
    19
    36
    9
    9
    9
    9
    9
    9
    12
    9
    24
    9
    9
    9
    18
    38
    58
    19
    19
    19
    19
    19
    4
    9
    38
    38
    38
    19
    36
    38
    38
    36
    38
    38
    38
    9
    3H
    33
    9
    38
    32
    9
    9
    9
    19
    26
    43
    9
    39
    30
    49
    75
    21
    9
    g%
    19
    9
    34
    4V
    32
    
    30
    so-
    so
    56
    56
    30
    30
    30
    10
    30
    36
    19
    19
    56
    56
    56
    56
    56
    56
    56
    75
    56
    56
    56
    9
    66
    47
    47
    S3
    53
    9
    V
    9
    Mi
    07
    62
    2ft
    60
    75
    75
    94
    39
    28
    45
    30
    26
    51
    62
    43
    75
    56
    56
    56
    5*
    56
    56
    36
    S6
    36
    38
    ' '96
    38
    30
    75
    56
    56
    56
    75
    56
    56
    75
    56
    75
    75
    26
    05
    66
    66
    66
    71
    9
    9
    9
    56
    66
    66
    45
    61
    94
    107
    113
    62
    43
    62
    45
    47
    7V
    77
    §6
    94
    75
    56
    56
    75
    ?*
    56
    5b
    5b
    56
    56
    ~ T*
    . 56
    58
    75
    7f
    TS
    75
    . 94
    '9*
    T5
    113
    75
    94
    94
    41
    115
    99
    79
    79
    86
    9
    9
    19
    75
    75
    130
    70
    122
    IbO
    169
    Jb9
    100
    73
    68
    71
    6*
    too
    103
    83
    13*2
    94.
    94
    113
    94
    1 13
    yS
    94
    75
    75
    , 75
    94
    94
    56
    113
    113
    113
    H?
    152
    132
    113
    150
    132
    132
    132
    fe4
    160
    122
    109
    11)9
    |<>«
    3fl
    9
    19
    us
    113
    152
    fll
    145
    1*8
    205
    180
    1?6
    86
    103
    63
    107
    115
    1»7
    94
    160
    113
    113
    1)2
    113
    112
    99
    113
    94
    «?4
    , 94
    \ 94
    112
    64
    150
    150
    132
    
    150
    150
    132
    169
    150
    150
    ISO
    71
    188
    150
    126
    1?8
    101
    56
    19
    36
    150
    132
    ?01
    109
    ?07
    2H?
    2»4
    2*3
    182
    115
    145
    113
    IbO
    150
    150
    122
    ?07
    169
    ISO
    {88
    150
    tb#
    1 i2
    1 32
    150
    132
    131
    150
    150
    79
    226
    207
    169
    207
    907
    ?«fb
    169
    ?44
    226
    168
    207
    94
    254
    id*
    171
    167
    168
    V4
    7S
    56
    226
    1*9
    357
    169,
    470
    451
    641
    470
    320
    186
    •gSJj
    14M
    372
    321
    Mr
    2:1$
    316
    470
    376
    111
    320
    ,«*!
    451
    3?0
    451
    244
    357
    391
    357
    15*
    602
    489
    37t>
    
    AY2
    376
    263
    39«>
    545
    432
    470
    150
    4*9
    329
    301
    244
    JHb
    330
    2?6
    207
    395
    282
    70.0
    35,0
    66.0
    80,0
    8/.0
    95,0
    50.0
    35.0
    «9,0
    35,0
    38,0
    55,0
    66,0
    47,0
    76, C
    57,0
    57,0
    60,0
    65,0
    69,0
    5.i,0
    50,0
    54.0
    47,0
    •7.0
    55,0
    47,0
    31,0
    73.0
    71,0
    69,0
    73,0
    flw.O
    74,0
    69,0
    91.0
    72.0
    74.0
    8S.O
    3J.O
    95,0
    75.0
    66.0
    70,0
    71.0
    16.0
    12,0
    15,0
    66,0
    66.0
    56.2
    25,9
    51.5
    57,0
    64.6
    79.5
    33.0
    26.0
    57,"
    26.6
    24,9
    "3,1
    59.0
    59.0
    62.9
    *6, t
    «7.2
    48.7
    59,0
    St.*
    46,3
    01.6
    46.7
    «0.0
    «0.9
    *7«2
    37.4
    
    59*0
    59.5
    59.7
    
    *».*3
    61,7
    59.0
    80,5
    60.3
    62.9
    72.6
    24.0
    81.0
    6^.4
    52.5
    63, /
    66.2
    
    lo|i
    12.0
    53.4
    56.6
     2.1
     2.2
     2.2
     2.5
     2.4
     2.0
     2.5
     2,2
    
     2.*2
     1.6
     2,0
     2.0
     2.1
     2.0
     2,0
     1.6
    
     i.'e
    
     il?
     1.7
     1.7
     1.0
     2.0
     1.9
    2.0
    2.0
     1.6
     1,0
    i.a
    1.9
    1.9
    1.7
    1.9
    1.9
    I./
    2,1
    1.0
    1.8
    
    lib
    1,7
    1.0
    
    ill
    2.1
    1.0
    

    -------
                                       322
                                    APPENDIX B
               DERIVATION OF FORMULAS FOR DISTRIBUTION OF MAXIMA
    
    General
         Let an individual hourly concentration,  X,  have  a cumulative
    frequency distribution
                P(C) = probability that X]                           (B-3)
    Gamma Distribution
         For the Gamma distribution,  P(C) equals  G(C), where
    

    -------
                    .  _L   /"
                       rta) J
                                      323
    
                               C/3
                        I  \  J           -   dv
                        (a)  JQ
    Changing variables to t - C/e,
                "'IT-)   /" v"1
                                         dv.                         (B-5)
    
                            t
    
         Since we are examining maximal values, we can assume  t is large.
    
    For large t,
              G(C) ~  1 - Y^T  t06'1  e't  .
    Using Equation (B-2), the distribution of the maximum is
                         -N   o-l  e-t
                  ) =  e 1W                                        (B-6)
    
    
    where        t = C /3-
    
    
         To make the distribution of the maxima independent of both  e and a, let
    
    
              S = t - A = Cm/e - A                                  (B-7)
    
    where
    
    
                 M    A01'1 e"A =  1  •                                  (B-8)
               ra
    

    -------
                                     324
    Then, substituting (B-7) and (B-8) into Equation (B-6) yields
    
              M(Cm) =exp  [-(f + I)"-1  e's]                           (B-9)
    
    For the data base in question,  a tends to be near to one, and s tends to
    be small compared with A.   Thus, we  use the approximation
    With this approximation, the formula for the distribution of maxima from
    Gamma distribution is
                       M(C ) = e~e                                     (Ml)
    where
                       s = c / g -  A
    
    and A is the solution to
                                  e'A -  1
                                  e
    

    -------
                        325
                    APPENDIX C
    DATA FOR CHARACTERIZING PRESENT N0g AIR QUALITY
    STATION
    1. Phoenix, AZ
    (002A01 )
    2. Anaheim, CA
    (001 101)
    3. Azusa, CA
    (002101 )
    4. Bakersfield, CA
    (003F01)
    5. Barstow. CA
    (001 101 ]
    6. Burbank, CA
    (002101 )
    7. Camarillo, CA
    (001 101)
    8. Chico, CA
    (001 F01)
    9. Chi no, CA
    (001 101)
    10.' Concord, CA
    (001 101)
    11. Costa Mesa, CA
    (001 101)
    12. El Cajon, CA
    (001 101)
    13. Eureka, CA
    (002F01 )
    
    YEARS
    OF DATA
    73
    72,73,74
    72,73,74
    72,73,74
    74
    74
    72,73
    72,73,74
    74 .
    74
    74
    72,73
    73
    
    ARITHMETIC
    MEAN
    "in"
    (ppnm)
    1.9
    5.1
    6.2
    3.0
    4.0
    7.1
    3.0
    1.8
    3.4
    2.7
    3.0
    3.0
    I-7
    
    90TH
    PERCENTILE
    11 f* 11
    ^90
    (pphm)
    5.6
    9.0
    11.4
    5.7
    8.0
    13.0
    5.5
    4.0
    7.0
    5.0
    7.0
    5.5
    3.0
    
    YEARLY MAX
    ONE-HOUR CONC.
    11 y ii
    *m
    (pphm)
    22.7
    40.7
    41.0
    14.7
    47.7
    35.4
    20.8
    10.6
    37.7
    20.5
    30.8
    ' 22.2
    10.3
    
    MAX- TO-
    MEAN
    RATIO
    V
    12.2
    7.9
    6.6
    5.0
    12.0
    5.0
    6.9 -
    5.8
    11. 1
    7.5
    10.2
    7.5
    6.0
    t
    

    -------
    326
    STATION
    14. Fresno, CA
    (002F01 )
    15. Indio, CA
    (001 101)
    16. La Habra, CA
    (001 1 01)
    17. Lancaster, CA
    (001 1 01)
    18. Lennox, CA
    (001 101)
    19. Livermore, CA
    (002101)
    20. Long Beach, CA
    (002101)
    21. Los Alamitos, CA
    (001 101)
    22. Los Angeles (Down-
    town), CA
    . (001 I 01)
    23. Los Angeles (West-
    wood), CA
    (002101)
    24. Los Angeles (Reseda]
    (001101)
    25. Lynwood, CA
    (001 101)
    
    YEARS
    OF DATA
    72,73,74
    72,73,74
    72,73,74
    72,73,74
    72,73,74
    72,73,74
    74
    72
    72,73,74
    72,73,74
    72,73,74
    74
    
    ARITHMETIC
    MEAN
    "m"
    (pphm)
    2.7
    1.7
    5.6
    1.4
    6.4
    3.3
    6.7
    4.7
    7.3
    6.8
    6.3
    5.5
    
    90TH
    PERCENT I LE
    UP n
    L90
    (pphm)
    5.0
    3.3
    9.7
    2.7
    11.0
    5.7
    12.0
    9.0
    12.3
    12.3
    11.7
    9.0
    
    YEARLY MAX
    ONE- HOUR CONC.
    My i»
    Am
    (pphrn)
    20.0
    11.2
    42.9
    9.4
    40.7
    17.2
    37.7
    36.3
    54.6
    55.8
    • 36.7
    37.7
    
    MAX -TO -
    MEAN
    RATIO
    Xm*m
    7.4
    6.8
    7.7
    6.8
    6.4
    5.2
    5.6
    7.8
    7.6
    8.1
    5.8
    6.9
    
    

    -------
    327
    STATION
    26. Modesto, CA
    (001 101)
    27. Monterey, CA
    (001 101)
    28. Napa, CA
    (003101 )
    29. Newhall, CA
    (001 101)
    30. Norco, CA
    (001 101)
    31. Oakland, CA
    (003601 )
    32. Ojai, CA
    (001 101)
    33. Palm Springs, CA
    (001 101)
    34. Pasadena, CA
    (004101 ) ,
    35. Pittsburg, CA
    (001 I 01)
    36. Pomona, CA
    (001 101)
    37. Redding, CA
    (002F01 )
    38. Redlands, CA
    (001101)
    
    YEARS
    OF DATA
    72,73,74
    72,73,74
    74
    72,73,74
    74
    72,73,74
    72
    72,73,74
    74
    f2,73,74
    74
    r2,73,74
    '2,73,74
    
    ARITHMETIC
    MEAN
    "m"
    (pphm)
    2.7
    1.5
    2.6
    3.6
    2.8
    3.5
    1.5
    1.5
    7.3
    1.9
    6.9
    1.8
    4.0
    
    90TH
    PERCENTILE
    HP ii
    U90
    (pphm)
    4.3
    2.7
    4.0
    6.7
    5.0
    6.0
    4.0
    3.0
    12.0
    3.7
    11.0
    3.0
    7.7
    
    YEARLY MAX
    ONE- HOUR CONC.
    V
    (pphm)
    14,2
    10.8
    14.1
    23.0
    22.4
    22.7
    19.9
    . 8.8
    47.7
    10.2
    34.3
    9.9
    24.7
    
    MAX- TO -
    MEAN
    RATIO
    V"
    5.2
    7.3
    5.4
    6.3
    7.9
    6.6
    13.4
    6.1
    6.5
    5.5
    5.0
    5.4
    6.2
    
    

    -------
    328
    ,1
    STATION
    39. Redwood City, CA
    (001 1 01)
    40. Richmond, CA
    (003101)
    41 . Riverside, CA
    (003F01 )
    42. Rubidoux, CA
    (001101)
    43. Sacramento, CA
    (003F01 )
    44. Salinas, CA
    (001 101)
    45. San Bernardino, CA
    (001 1 01)
    46. San Diego, CA
    (004101 )
    47. San Francisco, CA
    (003101 )
    48. San Jose, CA
    (004A05)
    49. San Luis Obispo, C/
    (001 F01)
    50. San Rafael, CA
    (001 101)
    £1. Santa Barbara, CA
    (002F01 )
    52. Santa Barbara, CA
    (004F01 )
    YEARS
    OF DATA
    72,73,74
    74
    74
    74
    72,73,74
    72,73,74
    72,73,74
    74
    72,73,74
    73,74
    72,73,74
    72,73,74
    72
    72,73,74
    /
    ARITHMETIC
    MEAN
    "m"
    (pphm)
    2.7
    2.8
    5.0
    2.7
    2.8
    2.2
    4.3
    2.7
    3.3
    3.8
    2.1
    2.8
    3.6
    3.1
    90TH
    PERCENTILE
    up M
    U90
    (pphm)
    5.0'
    5.0
    9.0
    5.0
    4.7
    4.0
    7.7
    6.0
    5.0
    6.5
    4.0
    4.7
    6.0
    5.0
    YEARLY MAX
    ONE- HOUR CONC.
    11 v I'
    *m
    (pphm)
    21.4
    14.2
    25.5
    20.3
    18.0
    13.5
    32.0
    25.6
    23.9
    30.2
    10.9
    16.9
    16.4
    20.5
    MAX -TO.
    MEAN
    RATIO
    X^m
    8.0
    5.1
    5.1
    7.6
    6.5
    6.2
    7.3 '
    9.6
    7.2
    8.0
    5.3
    6.0
    4.6
    6.6
    

    -------
    329
    STATION
    53. Santa Cruz, CA
    (0011 01)
    54. Santa Rosa, CA
    (002101)
    55. Stockton, CA
    (002F01 )
    56. Sunnyvale, CA
    (001 1 01)
    57. Upland, CA
    (003101)
    58. Upland, CA
    (004F01 )
    59. Vail e jo, CA
    (003101)
    60. Victorvilie, CA
    (001 1 01)
    61. Visalia, CA
    (001 F01)
    62. Whittler, CA
    (001 101)
    63. Yuba City, CA
    (001F01)
    64. Denver, CO
    (002A05)
    65. New Britain, CT
    (002F01)
    
    YEARS
    OF DATA
    72,73,74
    74
    72,73,74
    74
    74
    74
    74
    74
    72,73,74
    72,73,74
    72,73,74
    74,72,74
    73,74
    
    ARITHMETIC
    MEAN
    "m"
    (pphm)
    1.5
    2.0
    2.7
    4.1
    6.0
    4.9
    2.6
    3.7
    2.3
    6.5
    1.9
    4.4
    1.8
    
    90TH
    PERCENT I LE
    tlr» II
    C90
    (pphm)
    2.3
    4.0
    4.3
    7.0
    11.0
    9.0
    4.0
    8.0
    4.0
    11.3
    3.7
    7.3
    3.2
    
    YEARLY MAX
    ONE-HOUR CONG.
    II V 'I
    *m
    (pphm)
    10.5
    15.2
    15.8
    31.7
    39.7
    28.6
    14.2
    23.5
    12.6
    50.6
    14.6
    40.2
    10.1
    
    MAX- TO-
    MEAN
    RATIO
    Xm*m
    6.9
    7.8
    5.8
    7.7
    6.7
    5.8
    5.4
    6.3
    5.6
    7.8
    7.6
    9.2
    5.6
    
    

    -------
    330
    
    STATION
    66. Washington, DC
    (003A05)
    67. Atlanta, GA
    (001A05)
    68. Chicago, IL
    (002A05)
    69. Chicago, IL
    (023A05)
    70. Ashland, KY
    (008F01 )
    71. Louisville. KY
    (011G01)
    72. Louisville, KY
    (017A05)
    73. Newport, KY
    (001 F01)
    74. Ohio, KY
    (006N02)
    75. Owens boro, KY
    (008F01 )
    76. Baltimore, MD
    (018F01 )
    77. Silver Spring, MD
    (006F01 )
    
    YEARS
    OF DATA
    
    74
    
    74
    
    74,72,73
    
    74
    
    74
    
    73,74
    
    74
    
    72,73,74
    
    73
    
    73
    
    73
    
    73
    
    ARITHMETIC
    MEAN
    "m"
    (pphm)
    
    3.6
    
    4.8
    
    5.7
    
    2.6
    
    3.8
    
    4.3
    
    3.6
    
    3.7
    
    0.7
    
    4.6
    
    6.4
    
    5.2
    
    90TH
    PERCENTILE
    up it
    (pphm)
    
    6.0
    
    7.5
    
    9.7
    
    5.0
    
    7.0
    
    6.8
    
    6.0
    
    6.2
    
    1.0
    
    8.5
    
    11.0
    
    10.0
    
    YEARLY MAX
    ONE-HOUR CONC.
    'V
    (pphm)
    
    17.1
    
    25.1
    
    27.7
    
    14.2
    
    41.6
    
    22.6
    
    17.1
    
    19.7
    
    13.1
    
    35.5
    
    51.9
    ,
    45.1
    
    MAX- TO -
    MEAN
    RATIO
    Xm ' m
    
    4.7
    
    5.2
    
    4.8
    
    5.6
    
    11.0
    
    5.3
    
    4.7
    
    5.5
    
    18.9
    
    7.7
    
    8.1
    
    8.8
    
    

    -------
    331
    
    
    STATION
    78. Springfield, MA
    (005A05)
    79. Detroit, MI
    (020A05)
    80. Lansing, MI
    (002F01)
    81. Saginaw, MI
    (002F01)
    82. Afton, MO
    (001601)
    83. BelleFontaine
    Neighbors, MO
    (002601)
    84. Clayton, MO
    (001601)
    85. St. Ann, MO
    (001 601)
    86. St. Louis, MO
    (002A10)
    87. St. Louis, MO
    (006601 )
    88. Las Vegas, NV
    (009601 )
    89. Reno, NV
    (005101 )
    
    
    YEARS
    OF DATA
    
    74
    
    74
    
    74
    
    74
    
    73
    
    
    73,74
    
    73
    
    73,74
    
    74
    
    73,74
    72, 73
    73,74
    
    ARITHMETIC
    MEAN
    "m"
    (pphm)
    
    5.9
    
    2.8
    
    3.8
    
    3.2
    
    4.5
    
    
    3.7
    
    3.7
    
    3.6
    
    3.8
    
    3.0
    2.3
    3.2
    
    90TH
    PERCENTILE
    "Cgg"
    (pphm)
    
    11.0
    
    5.0
    
    6.3
    
    5.7
    
    8.1
    
    
    7.3
    
    7.1
    
    6.7
    
    6.0
    
    6.0
    4.9
    5.5
    
    YEARLY MAX
    ONE-HOUR CONC.
    
    (pphm)
    
    28.6
    
    15.4
    
    18.0
    
    17.9
    
    24.9
    
    
    26.6
    
    25.2
    
    25.4
    
    22.9
    
    33.6
    18.8
    26.6
    
    MAX-TO-
    MEAN
    RATIO
    Xm * m
    
    4.9
    
    5.5
    
    4.7
    
    5.6
    
    5.5
    
    
    7.3
    .
    6.8
    
    7.1
    
    6.1
    
    11.5
    8.4
    8.5
    
    

    -------
    332
    STATION
    90. Bayonne, NJ
    (003F01 )
    91. Camden, NJ
    (003F01)
    92. Elizabeth, NJ
    (004F01 )
    93. Newark, NJ
    (002F01 )
    94. Phillipsburg, NJ
    (002F01)
    95. Buffalo, NY
    (005F01)
    96. Buffalo, NY
    (007F01 )
    97. Glens Falls, NY
    (003F01)
    98. Hemps tead, NY
    (005F01 )
    99. Kingston, NY
    (002F01 )
    100. Mamaroneck, NY
    (002F01 )
    101. New York City, NY
    (006A05)
    102. New York City, NY
    (050F01)
    
    YEARS
    OF DATA
    72,73,74
    72,73,74
    74
    72,73,74
    72,73,74
    74
    74
    74
    74
    74
    74
    74
    74
    
    ARITHMETIC
    MEAN
    "m"
    (pphm)
    4.2
    4.3
    5.3
    5.6
    3.6
    3.3
    3.2
    1.4
    3.7
    1.9
    3.5
    4.3
    4.6
    
    90TH
    PERCENTILE
    Mr. II
    C90
    (pphm)
    7.4
    7.4
    8.5
    9.2
    5.9
    6.6
    6.0
    2.9
    6.9
    3.7
    6.5
    8.0
    9.0
    
    YEARLY MAX
    ONE-HOUR CONC.
    "V
    (pphm)
    23.9
    26.4
    31.1
    31.3
    18.8
    17.8
    13.6
    12.9
    19.5
    9.2
    25.6
    25.6
    34.8
    
    MAX- TO-
    MEAN
    RATIO
    V
    5.7
    6.1
    5.9
    5.6
    5.3
    5.4
    4.3
    9.0
    5.3
    4.8
    7.3
    6.0
    7.5
    
    

    -------
    333
    STATION
    103. New York City, NY
    (061A05)
    104. Niagara Falls, NY
    (006F01 )
    105. Rensselaer, NY
    (001 F01)
    106. Rochester, NY
    (004F01 )
    107. Schenectady. NY
    (003F01 )
    108. Syracuse, NY
    (005F01 )
    109. Syracuse, NY
    (011F01)
    110. Utica, NY
    (004F01 )
    111. Akron, OH
    (013H01)
    112. Cincinnati, OH
    (019A05)
    113. Portland, OR
    (002F01 )
    114. Lancaster City, PA
    (007F01 }
    115. Philadelphia, PA
    (002A05)
    
    YEARS
    OF DATA
    74
    74
    74
    74
    74
    74
    74
    74
    73
    74
    72,73,74
    74
    73,74
    
    ARITHMETIC
    MEAN
    "m"
    (pphm)
    5.1
    2.7
    1.9
    2.6
    1.9
    2.9
    3.5
    2.5
    4.0
    2.7
    2.6
    1.7
    3.9
    
    90TH
    PERCENTILE
    n r ii
    L90
    (pphm)
    9.0
    5.3
    3.9
    4.7
    3.8
    5.3
    5.5
    4.4
    7.0
    5.0
    4.7
    3.0
    7.0
    
    . YEARLY MAX
    ONE- HOUR CONC.
    II V II
    *m
    (pphm)
    25.4
    17.8
    10.2
    11.5
    9.4
    17.6
    13.3
    13.3
    18.9
    17.3
    18.3
    8.8
    27.2
    
    MAX- TO-
    MEAN
    RATIO
    Xm"m
    5.0
    6.6
    5.5
    4.4
    5.0
    6.0
    3.8
    5.3
    4.7
    6.5
    7.0
    5.3
    7.0
    
    

    -------
    334
    STATION
    116. Philadelphia, PA
    (004H01 )
    117. Scranton, PA
    (006F01 )
    118. Providence, RI
    (005F01 )
    119. Providence, RI
    (007A05)
    120. Memphis, TN
    (027N02)
    121. Stewart, TN
    (005N02)
    122. Salt Lake City, UT
    (001A05)
    123. Alexandria, VA
    (009H01)
    YEARS
    OF DATA
    72
    74
    72,73
    72,73,74
    74
    73,74
    74
    74
    ARITHMETIC
    MEAN
    "m"
    (pphm)
    4.5
    1.7
    4.5
    3.7
    0.9
    0.7
    3.6
    3.6
    90TH
    PERCENTILE
    »P ii
    L90
    (pphrn)
    !•
    7.0
    3.4
    7.5
    6.1
    2.0
    0.7
    6.0
    6.0
    YEARLY MAX
    ONE-HOUR CONC.
    ii y M
    *m
    (pphm)
    25.1
    8.4
    22.3
    17.1
    18.2
    11.9
    21.6
    15.4
    MAX- TO-
    MEAN
    RATIO
    Xm*m
    5.6
    5.1
    4". 9
    4.6
    21.4
    16.8
    6.0
    4.3
    

    -------
                         335
                   APPENDIX  D
    SUMMARY OF DAYTIME AND NIGHTTIME REGRESSION
     MODELS FOR LENNOX, AZUSA, POMONA. DENVER,
     CHICAGO, HOUSTON/MAE, AND HOUSTON/ALDINE
    

    -------
                                      336
       Table D-l    Summary  of Daytime Regressions for Lennox
    1.  Regression of Daytime N02 vs. N025 and INTNO
                     DPKN0
      or
    DAVN02
    
      TOTAL
                                            B?- INTNO
    
    WINTER
    DPKN02
    DAVN02
    SUMMER
    DPKN02
    DAVM02
    CORR. % VARIAflCE
    COEF. EXPLAINED
    
    .76 57%
    .78 61%
    .74 55%
    .78 60%
    A
    
    2.4
    2.2
    3.4
    2.7
    B!
    
    .70
    .46
    .70
    .47
    B2
    
    .14
    .08
    .24
    .13 -
    2.  Estimation of the Hydrocarbon Effect
           DPKN02
             or
           DAVN02
    (A + CQ)
                      TOTAL
                      CORR.   % VARIANCE
                                 + C^RATIO + c2-NKHCPR)
    
    WINTER
    DPKN02
    DAVM02
    SUMMER
    DPKH02
    DAVN02
    COEF. EXPLAINED
    
    .77 59%
    .78 62%
    .
    .77 59%
    .78 61%
    
    
    2.6
    2.3
    
    3.5
    2.7
    Bl
    
    .70
    .46
    
    .70
    .47
    B2
    
    .08
    .06
    
    .09
    .10
    C1
    
    '.on
    .004
    
    .021
    .005
    C2
    
    *
    *
    
    .00011
    *
                       Not significant from zero at 95% confidence level.
          Note:  NMHCPR = (HC69 -  100 pphm)/2
                 Units of all  variables are  in pphm.
    

    -------
                                    337
    Table D-2    Summary  of Nighttime Regressions  for  Lennox
      1-   Regression of Nighttime N02 vs. N0216, NITENO, and 0,AFT-NITENO
    NPKN02
     or     » A + B,.f
    NAVNOo
                                     + B2-NITtNO + Bg-NITENO-Oj AFT
    TOTAL
    
    
    WINTER
    NPKN02
    NAVN02
    SUMMER
    NPKN02
    NAVN02
    CORR. 2 VARIANCE
    COEF. EXPLAINED
    
    .81 66%
    .75 56%
    
    .80 65%
    .74 55%
    
    A
    
    2.4
    2.4
    
    2.0
    1.5
    B1
    
    .77
    .48
    
    .77
    .48
    B? 1
    
    .04
    *
    
    *
    .06
    B3
    
    .026
    .020
    
    .048
    .021
                      Not significant from zero at 95% confidence level.
      2.  Dependence of Afternoon N02 (N0216) on MMHC/NOX Ratio
                        WINTER; N0216 =  8.3 pphm (1  -  .028
                        SUMMER: N0216 = 6.4 pphm (1  -
      Note:  Units of all  variables are  in pphm.
    

    -------
                                     338
       Table D-3    Summary of  Daytime Regressions  for  Azusa
    1.   Regression of Daytime N02 vs.  N025 and INTNO
                     DPKN00
                       or
                     DAVNO,
                               A +
    + B2- INTNO
                       TOTAL
    
    WINTER
    DPKN02
    DAVN02
    SUMMER
    DPKN02
    DAVM02
    CORR. % VARIANCE
    COEF. EXPLAINED
    
    .87 75%
    .88 78%
    
    .88 78%
    .85 73%
    A
    
    1.6
    1.0
    
    1.4
    1.7
    Bl
    
    1.05
    .78
    
    .92
    .56
    B2
    
    .52
    .33
    
    .57
    .30 '
    2.  Estimation of the Hydrocarbon Effect
           DPKN02
             or
           DAVN02
    (A + C0)
                       TOTAL
                       CORR.   % VARIANCE
    INTNO-
              C^RATIO
    
    WINTER
    DPKN02
    DAVN02
    SUMMER
    DPKN02
    DAVNO£
    COEF. EXPLAINED
    
    .88 77%
    .89 79%
    
    .88 78%
    .86 73%
    A + co
    
    1.7
    1.1
    
    1.4
    1.7
    Bl
    
    1.05
    .78
    
    .92
    .56
    B2
    
    .21
    .14
    
    .57
    .32
    C1
    
    .010
    .006
    
    *
    *
    C2
    
    .00099
    .00060
    
    *
    -.00016
                       Not significant from zero at 95% confidence  level.
                      Note:  NMHCPR - (HC69-100 pphm)/2
                             Units of all variables are in pphm.
    

    -------
                                   339
    Table D-4    Summary of Nighttime  Regressions  for  Azusa
    1.  Regression of Nighttime N0£ vs. N0216,  NITENO, and 0,AFT-NITENO
             NPKN02
    
    
              or     - A + BrN0216 + Bg-NITENO + B^NITENO-Oj AFT
    
             NAVNO,
    TOTAL
    
    
    WINTER
    NPKN02
    NAVN02
    SUMMER
    NPKN02
    NAVN02
    CORR. % VARIANCE
    COEF. EXPLAINED
    
    .91 84%
    .90 80%
    •
    .74 54%
    .76 58Z
    
    A
    
    1.5
    0.9
    
    2.7
    1.7
    BJ
    
    .82
    .48
    
    .82
    .61
    B,
    
    .44
    .16
    
    .34
    .12
    B3
    
    .042-
    .035
    
    .042
    .033
    2.  Dependence of Afternoon N02 (N0216) on NHHC/MOX Ratio
                      WINTER; N0216 = 9.9 pphm (1 - .017
                                                       NMHCPR
                      SUMMER: N0216 = 5.8 pphm (1 - .011  NQX69)
    Note:  Units of all variables are in  pphm.
    

    -------
                                     340
       Table D-5    Summary of  Daytime Regressions  for Pomona
    1.   Regression of Daytime N02 vs. N025 and INTNO
                    DPKM0
      or
    DAVNOj
    
      TOTAL
              A +
                                               INTNO
    
    WINTER
    DPKNO?
    DAVN02
    SUMMER
    DPKN02
    DAVN02
    CORR. 55 VARIANCE
    COEF. EXPLAINED
    .83 69%
    .84 70%
    .85 73%
    .85 73%
    A
    .5
    .7
    2.0
    2.1
    Bl
    1.14
    .87
    .90
    .58
    B2
    .12
    .07
    .30
    .19
    2.  Estimation of the Hydrocarbon  Effect
           DPKN02
             or
           DAVN02
    (A + CQ) + B^NOgB + INTNO-(B2 + C^RATIO +
                      TOTAL
                      CORR.   % VARIANCE
    
    WINTER
    DPKN02
    DAVN02
    SUMMER
    DPKN02
    DAVN02
    COEF. EXPLAINED
    
    .86 74X
    .86 74%
    
    .87 75%
    .86 74%
    A*C0
    
    .5
    .8
    
    2.2
    2.2
    Bl
    
    1.14
    .87
    
    .90
    .58
    B2
    
    -.14
    -.09
    
    .03
    .05
    Cl
    
    .020
    .012
    
    .018
    .010
    C2
    
    .00100
    .00065
    
    .00119
    .00056
                Note:  NMHCPR =  (HC69 - 100 pphm)/2
                      Units  of all variables are in pphm.
    

    -------
                                       341
                 Table  D-6    Summary of Nighttime Regressions  for Pomona
    1.  Regression of Nighttime N02 vs. N0216,  NITENO, and 03AFT-
                                NITEND
              NPKN02
               or     = A + B,.l
              NAVNOo
    + B2-NITENO + B3-NITENO-63 AFT
    
    WINTER
    NPKN02
    NAVN02
    SUMMER
    NPKN02
    NAVN02
    TOTAL
    CORR. % VARIANCE
    COEF. EXPLAINED
    .87 75%
    .84 71%
    .71 50%
    .71 51%
    A
    1.6
    2.4
    3.1
    2.4
    B3
    .85
    ,50
    .81
    .57
    B?
    *
    -.05
    *
    *
    B3
    .067'
    .043
    .058
    .041
                     Not significant from zero at 95% confidence  level.
    2.  Dependence of Afternoon N02 (N0216) on NMHC/NO  Ratio
                        WINTER;   N0216 = 9.9 pphm (1 - .027
                        SUMMER:    N0216 = 7.3 pphm (1 - .018
     Note:   Units of all  variables  are in  pphm.
    

    -------
                                        342
        Table  D-7    Summary of  Daytime  Regressions for Denver
    
     1.  Regression of Daytime N02 vs. N025 and INTNO
                      DPKN0
      or     = A +
    DAVNO,
                                            + Bg-INTNO
                        TOTAL
    
    
    WINTER
    DPKN02
    DAVN02
    SUMMER
    DPKN02
    DAVN02
    CORR. % VARIAHCE
    COEF. EXPLAINED
    
    .65 42%
    .70 49%
    
    .70 50%
    .72 51%
    
    A
    
    1.5
    1.3
    
    1.5
    1.1.
    B]
    
    .71
    .41
    
    .58
    .33
    B2
    
    .32
    .17
    ,
    .37
    .18
      2.  Estimation of the Hydrocarbon Effect
             DPKN02
               or
             DAVNCfc
    (A + CQ) + Bj-NO^ + INTNO-
                        TOTAL
                        CORR.   % VARIANCE
                                      -RATIO +
    
    HINTER
    DPKN02
    DAVH02
    SUMMER
    DPKN02
    DAVN02
    COEF. EXPLAINED
    
    .66 44%
    .73 53%
    
    .71 51%
    .73 53%
    A + co
    
    1.6
    1.6
    
    1.6
    1.3
    Bl
    
    .71
    .41
    
    .58
    .33
    B2
    
    .23
    .23
    
    .28
    .12
    Cl
    
    ' .010
    -.005
    
    .007
    .004
    C2
    
    *
    -.00016
    
    *
    *
                         *
                          Not significant from zero at 95% confidence  level.
    Note:   For Denver, NMHCPR is  defined as .6(HC69-135  pphm). This formula results
           from  regressing the Denver HMHC69 measurements against the Denver HC69
           measurements.
           Units of all variables are  in pphm.
    

    -------
                                    343
    Table D-8    Summary of Nighttime Regressions for Denver
     1.  Regression of Nighttime N02 vs. N0216, NITENO, and O^FT-NITENO
    NPKNOg
     or     -A
    NAVNO,
                                 lS + B2-NITENO + B3.NITENO-63 AFT
    TOTAL
    
    
    WINTER
    NPKN02
    NAVN02
    SUMMER
    NPKN02
    NAVN02
    CORR. % VARIANCE
    COEF. EXPLAINED
    
    .82 67%
    .78 60%
    •
    .50 2555
    .55 30*
    
    A
    
    2.0
    2.0
    •
    3.2
    1.7
    Bl
    
    .73
    .35
    
    .66
    .39
    B,
    
    .16
    .10
    
    *
    .09
    B3
    
    *
    *
    
    *
    *
                    Not significant from zero at 95% confidence level.
     2.  Dependence of Afternoon N02 (NQ216)  on NMHC/NOX Ratio
                       WINTER: N0jl6 = 7.56 pphm (1 -  .044   j
                        SUMMER: N0216 = 2.70  pphm (1 - .007
    Note:  Units  of all variables are in pphm.
    

    -------
                                       344
       Table  D-9    Summary  of Daytime Regressions  for  Chicago
    1.   Regression of Daytime N02 vs.  N025 and INTNO
                     DPKN02
                       or    « A + B.j-N025 + BZ> INTNO
                     DAVNO,
                       TOTAL
    
    
    WINTER
    DPKN02
    DAVH02
    SUMMER
    DPKN02
    DAVN02
    CORK. % VARIANCE
    COEF. EXPLAINED
    
    .65 43*
    .74 54%
    
    .70 49%
    .78 60%
    
    A
    
    1.7
    1.5
    
    2.0
    1.3
    
    Bl
    
    .86
    .66
    
    .98
    .82
    B2
    
    .07
    .05
    
    .14
    .11 -
    2.  Estimation of the Hydrocarbon Effect
            DPKNO-
             or
           DAVNOo
    (A + CQ) + Bj'HOgS + INTNO-(Bg + C,-RATIO + Cg-NKHCPR)
                       TOTAL
                       CORR.   X VARIANCE
    
    WINTER
    DPKN02
    DAVN02
    SUMMER
    DPKN02
    DAVN02
    COEF. EXPLAINED
    
    .70 49«
    .76 58%
    
    .70 49%
    .78 60%
    A + co
    
    1.6
    1.5
    
    2.0
    1.3
    Bl
    
    .86
    .66
    
    .98
    .82
    B2
    
    -.01
    .01
    
    .14
    .11
    Cl
    
    .029
    .015
    
    *
    *
    C2
    
    *
    *
    
    *
    *
                        Not significant from zero at 95%  confidence level.
          Note:  NMHCPR = .57(HC69-144 pphm)
                Units of all  variables are in pphm.
    

    -------
                                      345
    
                 Table D-1Q  Summary of Nighttime Regressions for Chicago
    
    
    1-  Regression of Nighttime N02 vs. N0216, NITENO,  and O/FT-NITENO
                                                 i
    
    
             NPKN02
    
              or     = A + BrN0216 +  Bg-NITENO + Bg-NITENO-Og AFT
    
             NAVNOo
    
    WINTER
    NPKN02
    NAVN02
    SUITER
    NPKN02
    NAVN02
    TOTAL
    CORR. % VARIANCE
    COEF. EXPLAINED
    .86 75%
    .80 63%
    .90 80%
    .84 70%
    A
    1.0
    1.3
    1.3
    1.4
    !i
    .78
    .49
    .89
    .58
    B?
    .03
    .04
    *
    .02
    B3
    -.007
    -.006
    .014
    .008
                    Not significant from zero  at  95% confidence level.
    2.  Dependence of Afternoon N02 (N0216)  on NMHC/NOX Ratio
                       WINTER;   NQ2i6 independent of
                                  NMHCPR
    SUMMER:  N0216 = 9.6 pphm (1  -
                                                           NMHCPR.
                                                            NOX79;
    Note:  Units of all  variables are in pphm.
    

    -------
                                      346
     Table D-ll     Summary of  Daytime Regressions  for  Houston/Mae
    1.   Regression of Daytime N02 vs. N025 and INTNO
                     DPKN0
        or    = A +
      DAVN02
    
        TOTAL
                                          + B- INTNO
    
    WINTER
    DPKN02
    DAVN02
    SUMMER
    DPKN02
    DAVN02
    CORR. 2 VARIANCE
    COEF. EXPLAINED
    
    .77 60%
    .80 65%
    
    .79 62%
    .75 57%
    A
    
    .93
    .55
    
    1.23
    .81
    Bl
    
    .86
    .48
    
    1.00
    .52
    B2
    
    .15
    .074
    
    .092
    .033-
    2.  Estimation of the Hydrocarbon Effect
           DPKN02
             or
           DAVN02
    = (A + CQ) + Bj-NOgS + INTNO- (B^ + C^ RATIO + Cg-NMHCPR)
                      TOTAL
                      CORR.   % VARIANCE
    
    WINTER
    DPKN02
    DAVN02
    SUMMER
    DPKN02
    DAVN02
    COEF. EXPLAINED
    
    .77 60%
    .80 65%
    
    .79 62%
    .75 57%
    A + C0
    
    .93
    .55
    
    1.23
    .81
    Bl
    
    .86
    .48
    
    1.00
    .52
    B2
    
    .15
    .074
    
    .092
    .033
    Cl
    •
    *
    *
    
    *
    *
    C2
    
    *
    *
    
    *
    *
                        Not significant from zero at 95% confidence level.
                 Note:  NMHCPR = .38CHC69 - 70 pphm]
                        Units of all variables  are in pphm.
    

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                                        347
                 Table D-12   Summary of Nighttime Regressions for Houston/Mac
    
    
    1.  Regression of Nighttime N02  vs. N0216,  NITENO, and 03AFT-NITENO
             NPKNO,
              or
    = A + B.j.N0216 + B2-NITENO + B3'NITENO-63 AFT
             NAVNO
    
    WINTER
    NPKN02
    NAVN02
    SUMMER
    NPKN02
    NAVN02
    TOTAL
    CORR. % VARIANCE
    COEF. EXPLAINED
    .77 60%
    .76 57%
    .41 16%
    .37 14%
    A
    2.57
    1.68
    3.00
    1.74
    Bi
    .43
    .27
    .53
    .30
    B? 1
    *
    -.11
    *
    *
    B3
    .096
    .074
    .039
    *
                    Not significant from zero at 95% confidence level.
    
    2.  Dependence of Afternoon N02 (N0216) on NMHC/NOX Ratio
                       WINTER;   N0216 = 2.7 pphm (1  -  .010
                        SUMMER;   N0216 = 2.4 pphm (1  -
                                       ,, NMHCPR)
                                     •UM  NOX69;
    Note:  Units of all variables are in pphm.
    

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                                      348
     Table D-13   Summary  of Daytime Regressions for Houston/Aldine
    1.   Regression of Daytime N02  vs. N0g5 and  INTNO
                    OPKN0
      or
    DAVN02
    
      TOTAL
                                               INTNO
    
    
    WINTER
    DPKN02
    DAVN02
    SUMMER
    DPKN02
    DAVM02
    IUKK. » VAKl/UIlt:
    COEF. EXPLAINED
    
    
    .75 57*
    .70 49*
    
    .67 45*
    .67 45%
    A
    
    
    .96
    .52
    
    1.02
    .41
    Bl
    1
    
    .68
    .40
    
    .50
    .21
    By
    Z
    
    .19
    .050
    
    .12
    .080-
    2.  Estimation of the Hydrocarbon Effect
           DPKN02
             or
           DAVN02
    (A + C) +
                      + INTNO- (B^ + C^RATIO + Cg-NKHCPR)
                      TOTAL
                      CORR.   % VARIANCE
    
    WINTER
    DPKN02
    DAVH02
    SUMMER
    DPKM02
    DAVNOg
    COEF. EXPLAINED
    
    .75 57*
    .70 492
    
    .67 45X
    .67 45X
    A + C0
    
    .96
    .52
    
    1.02
    .41
    Bl
    
    .68
    .40
    
    .50
    .21
    B2 1
    
    .19
    .050
    
    .12
    .080
    Cl 1
    
    ' *
    *
    
    *
    *
    C2
    
    *
    *
    
    *
    *
                       Not significant from zero at 95% confidence level.
            Note:  NMHCPR  • .5[HC - 133 pphm]
                  Units of all variables are in pphm.
    

    -------
                                           349
    Table  D-14    Summary of  Nighttime  Regressions for Houston/Aldine
          1.  Regression of Nighttime N02 vs. N0216, NITENO, and O/FT-NITENO
                   NPKNO,
                    or    •« A + B.,.N0216 + B2-NITENO + B3«NITENO-63 AFT
    
    WINTER
    NPKN02
    NAVN02
    SUMMER
    NPKN02
    NAVN02
    TOTAL
    CORR. % VARIANCE
    COEF. EXPLAINED
    
    .59 34*
    .56 322
    * *
    * *
    A
    
    2.82
    1.78
    *
    *
    BI
    
    *
    *
    *
    *
    B? ,
    
    *
    -.28
    *
    *
    B3
    
    .119 '
    .090
    *
    *
                         Not significant from zero at 95X confidence level.
    
          2.  Dependence of Afternoon N02 (N0216) on NMHC/NOX Ratio
                                  ;  No significant relationship between N0,16
                                     and NMHCPR/NOX69
                                  :  No significant relationship between N0216
                                     and NMHCPR/NOX69
           Note:  Units of all variables are 1n pphm.
    

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                                                  350
                                        TECHNICAL REPORT DATA
                                 (Please read Instructions on the reverse before completing)
     1. REPORT NO.
      EPA-600/3-78-018
                                                                3. RECIPIENT'S ACCESSION NO.
    4. TTB1E AND SUBTITLE
      EMPIRICAL  RELATIONSHIPS BETWEEN ATMOSPHERIC NITROGEN
      DIOXIDE AND  ITS PRECURSORS
                                                                 6, REPORT DATE
                                                                   February 1978
                                                                 6. PERFORMING ORGANIZATION CODE
     7. AUTHOR(S)
    
    
       J. Trijonis
                                                                8. PERFORMING ORGANIZATION REPORT NO.
     9. PERFORMING ORG -VNIZATION NAME AND ADDRESS
       Technology Service Corporation
       2811 Wilshire  Boulevard
       Santa Monica,  CA  90403
                                                                10. PROGRAM ELEMENT NO.
                                                                   1AA603 AC-09 (FY-77)
                                                                11. CONTRACT/GRANT NO.
                                                                   68-02-2299
     12. SPONSORING AGENCY NAME AND ADDRESS
       Environmental  Sciences Research Laboratory - RTP, NC
       Office of Research and Development
       U.S. Environmental Protection Agency
       Research Triangle Park, NC  27711
                                                                13. TYPE OF REPORT AND PERIOD COVERED
                                                                     Final      	_
                                                                14. SPONSORING AGENCY CODE
    
                                                                    EPA/600/09
     15. SUPPLEMENTARY NOTES
     16. ABSTRACT
            Aerometric data were examined  to define relationships  between atmospheric H
       and its  precursors..   A descriptive  and critical analysis of the  nationwide data
       base of  N0?  was carried out, followed by the formulation application and testing
       of empirical  models  relating ambient  N02 changes to NO  .and hydrocarbon (HC)
       emission  controls.
            The  examination showed that  (1)  other factors being constant,  annual mean
       and yearly maximum N0? are proportional  to NO  input; (2) HC control yields
       slight-to-moderate reauctions in yearly maximOm N0«; (3) HC control  yields
       essentially  negligible benefits for annual mean N02; and (4) the exact form
       of the N0?/precursor relationship may vary somewhat from one location to the
       next, depending on local conditions.
                                     KEY WORDS AND DOCUMENT ANALYSIS
                       DESCRIPTORS
                                                  b.lDENTIFIERS/OPEN ENDED TERMS
                                                                               c. COSATI Field/Group
       *Air pollution
       *Nitrogen oxides
       *Nitrogen dioxide
       *Hydrocarbons
       *Empirical equations
       *Atmospheric models
                                                                                     13B
                                                                                     07B
                                                                                     07C
                                                                                     12A
                                                                                     04A
     8. DISTRIBUTION STATEMENT
       RELEASE TO PUBLIC
                                                   19. SECURITY CLASS (This Report)
    
                                                       UNCLASSIFIED
                                                                              21. NO. OF PAGES
                                                                                368
                                                  20. SECURITY CLASS (Thispage)
    
                                                  	UNCLASSIFIED
                                                                               22. PRICE
    EPA Form 2220-1 (9-73)
    

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