United States      Office of Air Quality       EPA-450/5-83-001f
           Environmental Protection  Planning and Standards      August 1982
           Agency        Research Triangle Park NC 27711

           Air
S-EPA      Benefit Analysis
           of Alternative
           Secondary
           National Ambient
           Air  Quality
           Standards
           for  Sulfur Dioxide
           and Total
           Suspended
           Particulates

           Volume VI

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                 FINAL ANALYSIS
   BENEFITS ANALYSIS  OF  ALTERNATIVE SECONDARY

   NATIONAL AMBIENT AIR  QUALITY STANDARDS FOR

SULFUR DIOXIDE AND TOTAL SUSPENDED PARTICULATES



                   VOLUME VI

           BENEFITS ANALYSIS  PROGRAM
            ECONOMIC ANALYSIS BRANCH
     STRATEGIES AND AIR  STANDARDS DIVISION
  OFFICE OF AIR QUALITY  PLANNING AND STANDARDS

      U-S- ENVIRONMENTAL PROTECTION AGENCY
             RESEARCH TRIANGLE  PARK
             NORTH CAROLINA   27711
                                   U.S. Environmental Protection Agency
                                    Region V,   -,-.v
                                        -.  > • ,  r '•  '  f"~ ' - 1  v • • '-" •*• *-
                                    2"") '.--oat >  •- -  ''-""'   f
                  AUGUST 1982       Chicago, Illinois  60604

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\J,S
. Environmental Protection

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                    FINAL ANALYSIS
      BENEFITS ANALYSIS OF ALTERNATIVE SECONDARY
      NATIONAL AMBIENT AIR QUALITY STANDARDS FOR
   SULFUR DIOXIDE AND TOTAL SUSPENDED PARTICULATES
                         By:

Ernest H. Manuel, Jr.            William N. Lanen
Robert L. Horst, Jr.             Marcus C. Duff
Kathleen M. Brennan              Judith K. Tapiero
               With the Assistance of:

Richard M. Adams                 A. Myrick Freeman, III
David S. Brookshire              Shelby D. Gerking
Thomas D. Crocker                Edwin S. Mills
Ralph C. d'Arge                  William D. Schulze
                    MATHTECH, Inc.
                    P.O. Box 2392
             Princeton, New Jersey  08540
            EPA Contract Number 68-02-3392
                   Project Officer:
                   Allen C. Basala
               Economic Analysis Branch
        Strategies and Air Standards Division
     Office of Air Quality Planning and Standards
         U.S. Environmental Protection Agency
    Research Triangle Park, North Carolina  27711
                     August 1982

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                               PREFACE
     This report was prepared for the U.S. Environmental Protection
Agency by MATHTECH, Inc.  The report is organized  into six volumes
containing a total  of 14 sections as  follows:
          Volume I
               Section  1:
               Section  2:
               Section  3:
          Volume II
               Section  4:
               Section  5:
               Sect ion  6:

          Volume III

               Sect ion  7:
               Section  8:

          Volume IV

               Section  9:

          Volume V

               Section 10:
               Section 11:

          Volume VI

               Section 12:
               Section 13:
               Section 14:
Executive Summary
Theory, Methods and Organization
Air Quality and Meteorological Data
Household Sector
Residential Property Market
Labor Services Market
Manufacturing Sector
Electric Utility Sector
Agricultural Sector
Extrapolations
Bibliography
Summary of the Public Meeting
Analysis of Pollutant Correlations
Summary of Manufacturing Sector Review
     The analysis and conclusions  presented  in this report are  those
of the authors and should not be interpreted  as necessarily reflecting
the official policies of the U.S.  Environmental Protection Agency.
                                   11

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                          ACKNOWLEDGMENTS
     This report and the underlying analyses profited  considerably
from the efforts of Allen Basala,  who served as EPA Project  Officer,
and V.  Kerry  Smith, who  served as a reviewer for EPA.  Allen  provided
the initiative  and on-going  support to conduct an applied benefits
analysis.  Kerry's technical insights and suggestions  are reflected in
nearly every  section of  the report.

     James Bain and Tom  Walton of  EPA,  and  Jan Laarman  and Ray
Palmquist,  who served  as reviewers  for  EPA,  also  contributed
substantially to individual report  sections  through  their advice and
comments during the course of the  project.  Also  providing helpful
comments and assistance  were  Don Gillette,  Fred Haynie, Neil Frank and
Larry Zaragosa,  all with EPA.

     Several other members of the Mathtech staff contributed to the
project during various  stages of the work.  They included Robert J.
Anderson, Jr., Neil Swan, John Keith, Donald Wise,  Yaw  Ansu,  Gary
Labovich, and Janet Stotsky.

     The production of  the report was  ably managed  by Carol  Rossell,
whose patience remained  intact through countless drafts and deadlines.
Carol was assisted by Sally Webb, Gail Gay, and Deborah Piantoni.

     Finally,  we extend  our appreciation  to the  many dozens  of
individuals,  too numerous to list here,  who provided  advice,
suggestions,  and data during  the  course of  the project.
                                 111

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                               CONTENTS



Section                                                           Page


   12     SUMMARY OF THE PUBLIC MEETING

             Introduction 	  12-1

             Summary of Public Meeting 	  12-1

             Household Sector 	  12-5

             Electric Utility Sector 	  12-7

             Agricultural Sector 	  12-7

             Manufacturing Sector 	  12-9

             Concluding Remarks 	  12-11

             Recommendations	  12-12

             Appendix A:  Federal Register Notice, Agenda for
                          Public Meeting, ~ List of Participants  12-13

             Appendix B:  Comments from Panel of Experts in the
                          Field of Environmental Benefits
                          Analysis 	  12-22

             Appendix C:  Comments from the American Iron and
                          Steel Institute 	  12-56

   13     ANALYSIS OF POLLUTANT CORRELATIONS

             Introduction 	    13-1

             Estimation of Correlation Coefficients 	    13-3

             Potential for Bias in Mathtech Study 	    13-19

             Summary and Conclusions 	    13-28

             References 	    13-31
                                   IV

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                         CONTENTS (Continued)







Section                                                           Page





   14     SUMMARY OF MANUFACTURING SECTOR REVIEW



             Introduction 	    14-1



             Informal Plant Interviews	    14-2



             Statistical Reanalysis	    14-8

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                                TABLES
Number                                                            Page


 13-1     Count of Available Site Observations for
          Correlation Analysis 	  13-8

 13-2     Correlation Coefficients for 1978 Annual Arithmetic
          Means of TSP and Other Pollutants for Different
          Levels of Spatial Aggregation 	  13-11

 13-3     Correlation Coefficients for 1978 Annual Arithmetic
          Means of S02 and Other Pollutants for Different
          Levels of Spatial Aggregation	  13-11

 13-4     Significance of Correlation Coefficients for 1978
          County Annual Arithmetic Means 	  13-13

 13-5     Correlation Coefficients for Annual Arithmetic Means
          of County Levels of TSP and Other Pollutants for
          Three Years 	  13-15

 13-6     Correlation Coefficients for Annual Arithmetic Means
          of County Levels of S02 and Other Pollutants for
          Three Years 	  13-15

 13-7     Correlation Coefficients for 1978 County-Level Data
          of TSP and Other Pollutants for Different Statistical
          Measures 	  13-18

 13-8     Correlation Coefficients for 1978 County-Level Data
          of S02 and Other Pollutants for Different Statistical
          Measures 	  13-18

 13-9     Correlation of S02/N02 for Household Sector Study,
          1972 and 1973 	  13-22

 13-10    Correlations for S02/N02 and TSP/N02 for
          Manufacturing Sector Study, 1973 	  13-24

 13-11    Correlations of S02/03 for Agricultural Sector
          Study — Quarterly Data 1974-76 	  13-27
                                   VI

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                          TABLES (Continued)
Dumber                                                            Page


 14-1     Counties Used in the Draft Analysis for SIC 344 	  14-4

 14-2     Possible Effects and Responses to Particulate
          Matter in SIC 344 	  14-5

 14-3     Comparison of Results for SIC 344 	  14-9
                                   VII

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         SECTION 12
SUMMARY OF THE PUBLIC MEETING

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                             SECTION 12




                   SUMMARY OF THE  PUBLIC MEETING
INTRODUCTION







     On July  27  and 28,  1981,  a  public meeting  was held  at the



Sheraton Crabtree Inn in Raleigh, North Carolina.  The purpose  of this



meeting was to provide  an opportunity for public comment on  the study



and to  receive  comments  from a panel  of  experts  in  the  field of



environmental benefits  analysis.   In  addition  to this  panel  of



experts, the  major  participants at the meeting included staff and



consultants from the Office of Air Quality  Planning and Standards



(OAQPS)  for  the  Environmental  Protection Agency  (EPA),  and staff and



consultants from Mathtech,  Inc.  Other  interested individuals also



particpated.  A copy of the notice  for this  meeting  as  it  appeared in



the Federal  Register, the agenda for the  meeting,  and a  list of those



attending the  meeting are contained in Appendix A of this volume.







SUMMARY OF PUBLIC MEETING







     The meeting was opened by James Bain,  Chief  of  the  Economic



Analysis Branch of OAQPS who stated that the purpose of the meeting
                                  12-1

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was to present,  discuss,  and receive  feedback regarding the benefits
analysis  done by Mathtech.

     An overview  of  the general approach  used for estimating the
benefits  of alternative  secondary  national  ambient  air quality
standards  (SNAAQS) and a summary of the results of the study  were
given in  a slide presentation by Ernest Manuel of Mathtech.   This was
followed  by individual slide presentations by members of the Mathtech
staff  for each of  the  economic  sectors  analyzed  in the  study.
Comments and questions from the panel of environmental experts  were
made after each slide presentation.   Following the  panel's  comments,
comments and questions  were received from members of the audience.
General comments and recommendations regarding the study were made at
the conclusion of the two-day meeting.

     With respect to the overall study, three general observations
were made by the panel of environmental  experts.  The first observa-
tion was related to the  study's overall quality.  Each member of the
panel and various members of the audience agreed that the Mathtech
study was a high quality piece of research and  represented "state-of-
the-art" economics.  It was emphasized that the methodology used to
estimate the economic benefits of alternative  SNAAQS  was based on
conventional economic theory.  In addition, several comments were made
commending the use of sound and sophisticated econometric techniques
throughout  the  analysis.   In fact,  several members of the  panel
                                  12-2

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suggested  that shortened versions of  some of the  sector analyses



should be submitted to economic journals for publication.







     The second general observation was concerned with the quantity



and quality of  the data used in the empirical estimation of the sector



models developed in the study.  A  few members of the panel pointed out



that although the models developed were  theoretically sound,  less than



optimal data were available for the estimation of some of the models.



It was acknowledged, however,  that this  was not a  problem specific to



the Mathtech analysis,  but rather  a problem that beset all analyses of



this type.   Specific comments  were  raised regarding  the appropriate-



ness of using data  from air quality monitoring  stations as proxies for



ambient exposure to certain pollutants and the  omission of pollutants



such as ozone  and  nitrogen dioxide from the estimated models.   The



general concern of  the  panel was directed toward how  these data  limi-



tations and omissions might affect the conclusions that could be  drawn



from the study.  It was suggested  that the implications of these data



limitations should be examined with respect to  the Mathtech study and



with respect to the needs  of future  research.







     The discussion of the data limitations encountered  in  the  study



prompted a  third general comment from the panel  members — the plausi-



bility of the  benefit estimates.  For the  types of benefits  measured



in the study,  the panel felt that the benefit  estimates presented at



the meeting were the best estimates currently available. The panel



members and others attending the meeting acknowledged that because of
                                   12-3

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the conservative  assumptions employed throughout the study,  the esti-
mates reported in the study were most likely lower-bound estimates of
the benefits of attaining alternative  SNAAQS  in the economic sectors
analyzed.  It was also pointed  out  that the estimated benefits did not
reflect all  of the benefits of attaining  SNAAQS since  the  estimation
of other welfare benefits were not part of the  Mathtech analysis
(e.g.,  aesthetics, recreation,  other economic sectors).   In addition,
it was mentioned  that any health benefits that might occur as a result
of the implementation of  a  secondary standard  were  not included in the
benefit estimates presented at the public  meeting.

     Several members  of the panel  expressed concern that  only the
point estimates of the benefits were reported  in the analysis.  It was
suggested that it would have been more appropriate to report a range
of benefit  estimates  based on the confidence intervals that  are
associated  with  these  point estimates.  It was explained, however,
that because of the  complexity of  the  econometric  models used in the
benefit estimation, it might not be possible  to develop rigorously
such confidence intervals.

     The remainder  of  the comments were specific to each economic
sector and will be discussed according  to  the agenda  followed at the
public  meeting.   It should be mentioned  that since copies of the
written comments made by the panel of  environmental experts are given
in Appendix  B of  this volume,  only the major comments regarding these
sectors  will be  discussed in this section.  Those interested in
                                   12-4

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obtaining  further information  regarding the comments made at the



public meeting  should refer to Appendix B.







HOUSEHOLD SECTOR







     The comments specific to the household sector analysis focused on



two major points:  1)  the coverage  of  the  economic  benefits  accruing



to households that was provided by the household expenditure model,



and 2)  the  comparability between the benefits  estimated  by the house-



hold expenditure  model  and the  benefits estimated by  the  residential



property value and wage studies.   With respect to the first point,



several panel members praised the innovative approach taken in the



household sector  analysis.  It was felt  that since many of  the actions



that households might  undertake  as  a means of mitigating  the effects



of air pollution were capable of being reflected  in the household



expenditure  model.  Consequently, the model provided more realistic



coverage of the economic benefits  accruing in this  sector.  This was



considered to be a significant improvement in the field of environ-



mental benefits analysis.







     A few  panel  members noted,  however, that the effects of all air



pollutants were  not measured in this  model.   It was  also mentioned



that all of the mitigative actions available to households were not



reflected in  the  model.  For  example, it was noted that neither house-



hold location decisions  nor labor-leisure decisions  were reflected in



the consumer  expenditure model.   In  addition,  the possibility  that the
                                  12-5

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household may have a "pure" utility increase as a result of reduced
air pollution exposure was not  captured by the model.   One panel
member explained that  any  effects of air pollution that do  not  result
in a change  in the household's market behavior were not "picked  up" in
the consumer expenditure model.   This panel  member  further  explained
that the  omission of non-market  adjustments and some of the mitigative
actions available to the household would result in an underestimate of
the benefits of reductions in  air  pollution.  There was  a general
concurrence among those attending  the  meeting that the  household
sector estimates were lower-bound estimates  of the  household sector
benefits  of  attaining  SNAAQS.   Robert Horst  of Mathtech acknowledged
that Mathtech was aware of this  issue and hoped to examine how the
model could  be modified to  incorporate  other  mitigative actions.

     The second comment regarding  the comparability between the
benefits  estimated by the household expenditure model and the benefits
estimated from  the property value  and wage studies  was directly
related to  the  comment about the amount of benefit  coverage provided
by the household expenditure model.   It was observed by several panel
members  that the benefits estimated from the household expenditure
model were much  less  than  those estimated from the property  value and
wage studies.  One reason for the disparity between these estimates
was the fact that the household expenditure  model was not designed to
estimate the health and aesthetic  benefits that may result from  imple-
mentation of a secondary standard. Another reason for the differences
                                   12-6

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between these estimates was the exclusion  of the previously mentioned
mitigative actions from the household expenditure  model.
ELECTRIC UTILITY SECTOR

     The major comment that was raised  in reference to this sector
concerned the multicollinearity among the  variables used in estimating
the cost functions for these utilities and how this collinearity would
affect the estimated relationship between  air  pollution and the utili-
ties' costs.  It was mentioned that variables such as age of plant,
stack  height,  sulfur content of fuel,  and air quality that  were
included  in the cost functions were likely  to be highly correlated
with one another.  It was  noted  that  although this collinearity would
increase the standard errors of the estimated coefficients for these
variables,  it would not bias the coefficient estimates.

AGRICULTURAL SECTOR

     The one comment that seemed to pervade the  panel's discussion of
the agriculture  sector analysis  concerned the lack of data.  Kathleen
Brennan  of Mathtech mentioned that estimation of the crop  yield
equation was extremely difficult since county  level data on the use of
many of the farm inputs used  to produce  specific crops could not be
obtained from the agriculture  sector analysis.  Because of the lack of
data,  the question was  raised  whether the results of controlled field
experiments could be used in  place of economic studies in  order to
                                  12-7

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approximate  the  economic benefits of reductions in sulfur dioxide.
Reservations  about using the results of controlled field studies were
expressed because these studies  do not  replicate the  actual conditions
under which agricultural crops are grown.  It was felt that the agri-
cultural analysis emphasized the need for the collection  of better and
more data.

     Several  panel members expressed concern about the omission of
relevant pollution variables such as ozone and nitrogen  dioxide from
the  agricultural crop yield equation.   It  was suggested  that the
impact that these omissions might have on the  estimated relationship
between agricultural crop yield and  sulfur dioxide be investigated.

     Another  comment raised by  the  panel focused on the inability of
the model, as currently developed, to take  into account some of the
actions that  a producer might  undertake to offset the effect of  sulfur
dioxide on agricultural crops.  Cultivar and crop substitution were
two mitigative actions specifically  mentioned.  It was acknowledged
that because producers had probably adjusted to the effects of air
pollution through cultivar and crop substitution and because these
adjustments  were not  incorporated into the  model, the estimated
benefits  were likely  to be lower-bound  estimates of the  economic
benefits of SNAAQS.
                                  12-8

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MANUFACTURING SECTOR







     The format  followed for the  manufacturing sector  discussion



differed somewhat from that published in the agenda.   After Ernest



Manuel of Mathtech completed the manufacturing sector slide presenta-



tion,  comments were received from representatives of  the  American Iron



and Steel Institute  (AISI).   (Written  copies of the comments provided



by the AISI  representatives  can be found in Appendix  C.)   Comments and



questions were  taken from  the  panel of environmental experts and



general audience following Mr. Manuel's reply to AISI's comments.







     The major  comment from the  representatives of AISI was that the



study's finding of a statistically significant relationship  between



air pollution  and manufacturing  costs could not be construed to mean



that air pollution caused manufacturing costs to be  higher.   The



representatives  cited several urban factors that they felt were the



"true" causes  of  higher production costs:  age of plant,  wage rate,



tax rates,  and older labor force.   Since these  factors tend to be



correlated with  air  pollution, the  representatives asserted that the



relationship observed between air pollution and manufacturing costs



was due to correlation  and  not  causation.  Mr. Manuel  replied that



variables reflecting age of  plant and the labor costs were  included in



the manufacturing  model  and  hence the effects  of  these  factors could



not be attributed  to  air pollution.  Mr. Manuel felt that the problem



of other omitted urban variables such as the age of the labor force



and tax  rates  was  minimized somewhat  since the  majority  of the
                                  12-9

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manufacturing data  were  for establishments located  in relatively urban
areas.   He stated further  that although  no statistical  analysis out-
side of controlled laboratory conditions could ever "prove"  a cause-
and-effect  relationship,  he  felt  that  the  manufacturing  sector
analysis adequately controlled  for the other factors influencing pro-
duction cost so that the relationship observed between  air pollution
and production cost in the study suggested a cause-and-effeet rela-
tionship.

     The panel members also commented about the omission of "urban"
variables  from the  production cost functions  that  were  estimated for
the industries in the manufacturing sector.   It was mentioned that the
omission  of  these  variables  might bias the coefficients  of the air
pollution  variables because these excluded variables tend to be corre-
lated with air pollution.

     The other comment raised by the panel of environmental experts
dealt with the benefits  estimated for the fabricated structural metal
products  sector.  Questions were  raised  as to why  the  benefits
estimated for this  particular industry  were  so large  relative to the
benefits  estimated for the  other manufacturing sectors.  The sensi-
tivity of the inventories and welding operations in the  fabricated
structural metal  products  industry to dust, and therefore to particu-
late matter,  were  given as two possible reasons for  the magnitude of
these benefits.   It was suggested, however,  that the  reasons for the
                                   12-10

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magnitude of the  benefits estimated for  this  industry be investigated



further.







     In general,  the panel members praised the manufacturing sector



analysis.  Both the careful and sophisticated research  undertaken in



this sector were highly commended.  The panel members acknowledged



that based on the conservative assumptions employed throughout the



analysis  and the  fact that only 4  percent of  the manufacturing  sector



was covered in the analysis, the estimates reported for this sector



were clearly lower-bound estimates of the benefits of implementing



SNAAQS.







CONCLUDING REMARKS







     During  the general comment period,  James Bain of OAQPS asked the



panel members to  comment on the potential usefulness of the  Mathtech



study in the standard setting process.   Everyone concurred that the



study could be extremely useful in helping policy makers make environ-



mental decisions.  Because of the conservative assumptions and the



limited number of sectors covered in the study,  it  was stressed that



the benefits estimated in the study were lower-bound estimates of



alternative SNAAQS.  It was  mentioned, however,  that the current



regulatory process required  that the  study appear in the Criteria



Document  before  it could  be considered  in the  standard setting



process.
                                 12-11

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     It was emphasized that although the study  was a significant
advancement in the field of environmental benefits analysis, there
were still other benefit categories, not considered in the Mathtech
study,  that have not been adequately examined.  It  was suggested  that
in order to comply with Executive Order 12291, the study's  estimates
should  be combined with the  "best available" estimates of the benefits
accruing in other  economic  sectors in order to approximate  the total
benefits of SNAAQS implementation.

RECOMMENDATIONS

     At the close of  the meeting,  two recommendations were made
regarding the Mathtech study.  The first one was to examine the corre-
lations  between  the  excluded air pollution variables  and total
suspended particulates (TSP)  and sulfur dioxide (802).   This  was
suggested  in  order  to find  out whether  the exclusion  of these
variables might bias the coefficients of TSP and S02.

     The second  recommendation  was  to investigate  whether it  is
feasible to report a  range  of benefit estimates based on the confi-
dence intervals  associated with the point estimates  reported in the
study.
                                 12-12

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                       APPENDIX A








Federal Register Notice, Agenda for Public Meeting, and



                  List of Participants
                            12-13

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r
33626
Federal Register / Vol. 46,  No. 125 / Tuesday,  June 30, 1981  /  Notices
              The above notices of determination
            were received from the indicated
            jurisdictional agencies by the Federal
            Energy Regulatory Commission pursuant
            to the Natural Gas Policy Act of 1978
            and 18 CFR 274.104. Negative
            determinations are indicated by a "D"
            before the section code. Estimated
            annual production (PROD) is in million
            cubic feet (MMCF). An (*) before the
            Control (JD) number denotes additional
            purchasers listed at the end of the
            notice.
              The applications for determination are
            available for inspection except to the
            extent such material is confidential
            under 18 CFR 275.206, at the
            Commission's Division  of Public
            Information, Room 1000, 825 North
            Capitol St., Washington, D.C. Persons
            objecting to any of these determinations
            may, in accordance with 18 CFR 275.203
            and 275.204, file a protest with the
            Commission on or before July 15,1981."
              Categories within each NGPA section
            are indicated by the following codes: '
            Section 102-1: New DCS lease
              102-2: New well (2.5 mile rule)
              102-3: New well (1000 ft rule)
              102-4: New onshore reservoir
              102-5: New reservoir on old OCS lease
            Section 107-DP: 15,000 feet or deeper
              107-GB: Geopressured brine
              107-CS: Coal seams
              107-DV: Devonian shale
              107-PE: Production enhancement
              107-TF: New tight formation
              107-RT: Recompletion tight formation
            Section 108: Stripper well
              108-SA: Seasonally affected
              108-ER: Enhanced recovery
              lOft-PB: Pressure buildup
            Kenneth F. Plumb,
            Secretary.
            [FR Doc. 81-19223 Filed 6-29-81: 8:45 am]
            BIUJNO CODE 64SO-«S-H
            ENVIRONMENTAL PROTECTION
            AGENCY

            [AD-FRL-1869-8J

            Benefits Analysis of National Ambient
            Air Quality Standards for Sulfur Oxides
            and Particular Matter, Meeting
            AGENCY: Environment Protection
            Agency (EPA).
            ACTION: Notice of public meeting.

            SUMMARY: EPA's Office of Air Quality
            Planning and Standards is conducting a
            public meeting to solicit input on a
            contractor's technical report containing
            a benefits analysis methodology for
            National Ambient Air Quality Standards
            for sulfur oxides and particulate matter
            under Section 109 of the Clean Air Act,
            42 U.S.C. 7409. Aj>anel of experts in the
                                       field of environmental benefits analysis
                                       will critically discuss the analysis of
                                       various economic sectors. Questions
                                       and comments from the general public
                                       will be also be discussed. The meeting
                                       will be from 9:00 a.m. to 5:00 p.m. on
                                       both Monday, July 27, and Tuesday, July
                                       28,1981. It will be held  in the Governor's
                                       Room of the Sheraton-Crabtree Inn, U.S.
                                       70 West, Raleigh, NC 27612.
                                       FOR FURTHER INFORMATION CONTACT:
                                       Janet Scheid (919) 541-5611/(FTS 629-
                                       5611) of the Ecnomic Analysis Branch,
                                       Strategies and Air Standards Division,
                                       Office of Air Quality Planning and
                                       Standards. The mailing address is:
                                       Economic Analysis Branch (MD-12),
                                       U.S. Environmental Protection Agency,
                                       Research Triangle Park, 27711.
                                         Dated: June 24,1981.
                                       Edward Tuetk
                                       Acting Assistant Administrator for Air, Noise.
                                       and Radiation.
                                       [FR Doc. 81-19162 Piled 6-29-81; 8:45 am]
                                       MUJNG CODE 65M-26-M
                                      [AMS-FRL-1871-2]

                                      Fuel Economy Retrofit Devices;
                                      Announcement of Fuel Economy
                                      Retrofit Device Evaluation for "FUEL-
                                      MAX"

                                      AGENCY: Environmental Protection
                                      Agency (EPA).
                                      ACTION: Notice of Fuel Economy Retrofit
                                      Device Evaluation.

                                      SUMMARY: This document announces the
                                      conclusions of the EPA evaluation of the
                                      "FUEL-MAX" device under provisions
                                      of-Section 511 of the Motor Vehicle
                                      Information and Cost Savings Act

                                      Background Information
                                        Section 511(b)(l) and Section 511(cj of
                                      the Motor Vehicle-Information and Cost
                                      Savings Act (15 U.S.C. 2011(b)) requires
                                      that
                                        (b)(l) "Upon application of any  '
                                      manufacturer of a retrofit device (or
                                      prototype thereof), upon the request of
                                      the Federal Trade Commission pursuant
                                      to subsection (a), or upon his own
                                      motion, the EPA Administrator shall
                                      evaluate, in accordance with rules
                                      prescribed under subsection (d), any
                                      retrofit device to determine whether the
                                      retrofit device increases fuel economy
                                      and to determine whether the
                                      representations (if any) made with
                                      respect  to such retrofit devices are
                                      accurate,"
                                        (c) "The EPA Administrator shall
                                      publish  in the Federal Register a
                                      summary of the results of all tests
                                      conducted under this section, together
                                                          with the EPA Administrator's
                                                          conclusions as to—
                                                            (1) the effect of any retrofit device on
                                                          fuel economy;
                                                            (2) the effect of any such device on
                                                          emissions of air pollutants; and
                                                            (3) any other information which the
                                                          Administrator determines to be relevant
                                                          in evaluating such device."
                                                            EPA published final regulations
                                                          establishing procedures for conducting
                                                          fuel economy retrofit device evaluations
                                                          on March 23,1979 [44 FR 17946).

                                                          Origin of Request for Evaluation

                                                            On January 18,1980, the EPA received
                                                          a request from FID CO, Fuel Injection
                                                          Development Corporation, for
                                                          evaluation of a fuel saving device
                                                          termed "FUEL-MAX." This device is an
                                                          air bleed device that replaces the EGR
                                                          valve. It is claimed to conserve fuel.

                                                          Availability of Evaluation Report

                                                           ' An evaluation has been made and the
                                                          results, are described completely in a
                                                          report entitled: "EPA Evaluation of the
                                                          FUEL-MAX Device Under Section 511 of
                                                          the Motor Vehicle Information and Cost
                                                          Savings Act." This entire report is
                                                          contained in two  volumes. The
                                                          discussions, conclusions and list of all
                                                          attachments are listed in EPA-AA-TEB-
                                                          511-81-10A, which consists of 18 pages.
                                                          The attachments are contained in EPA-
                                                          AA-TEB-511-81-10B, which consists of
                                                          120 pages. The attachments include
                                                          correspondence between the Applicant
                                                          and EPA, all documents submitted in
                                                          support of the Application and the "EPA
                                                          testing of the device.
                                                            As a part of its evaluation EPA has
                                                          actually  tested the FUEL-MAX device.
                                                          The EPA testing is described completely
                                                          in the report "Emissions and Fuel
                                                          Economy of FUEL-MAX, a Retrofit
                                                          Device," EPA-AA-TEB-81-15,
                                                          consisting of 8 pages. This report is
                                                          contained in the preceding FUEL-MAX
                                                          511 Evaluation as an attachment and
                                                          can be obtained separately or as part of
                                                          the attachment package.
                                                            Copies of these reports may be
                                                          obtained from the National Technical
                                                          Information Service by using the above
                                                          report numbers. Address requests to:
                                                          National Technical Information Service,
                                                          U.S. Department of Commerce,
                                                          Springfield, VA 22161, Phone: Federal
                                                          Telecommunications System (FTS) 737-
                                                          4650, Commercial 703-J87-4650.
                                                          Summary of Evaluation

                                                           EPA fully considered all of the
                                                          information submitted by the Device
                                                          manufacturer in the Application. The
                                                          evaluation of the "FUEL-MAX" device
                                                                 12-14

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                 U.S. Environmental Protection Agency
             Office of Air Quality Planning and  Standards
                            Public Meeting
Benefits Analysis of Secondary National Ambient  Air  Quality  Standards
                           for S02 and TSP

                           July 27-28, 1981
                                AGENDA
                           Monday, July 27
 9:00 a.m.   Introduction
                           Jim Bain, Chief
                           Economic Analysis Branch
                           U.S. EPA
 9:15 a.m.   Project Overview
                           Ernest Manuel, Project  Manager
                           Mathtech, Inc.
 9:45 a.m.
Household Sector
Analysis
                                       Robert Horst
                                       Mathtech,  Inc.
10:00 a.m.   Household Sector
             Discussion and Comments
12:00 noon   Lunch
1:00 p.m.
             Utility Sector
             Analysis
                           Ernest Manuel, Project Manager
                           Mathtech, Inc.
 1:45 p.m.    Utility Sector
             Discussion.and Comments
 5:00 p.m.    Adjournment
                                   12-15

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                 U.S. Environmental Protection Agency
             Office of Air Quality Planning and Standards
                            Public Meeting
Benefits Analysis of Secondary National Ambient Air Quality  Standards
                           for S02 and TSP

                           July 27-28, 1981
                                AGENDA
                           Tuesday, July 28
 9:00 a.m.   Introduction
Jim Bain, Chief
Economic Analysis Branch
U.S. EPA
 9:15 a.m.   Agricultural Sector
             Analysis
Kathleen Brennan
Mathtech, Inc.
 9:45 a.m.   Agricultural Sector
             Discussion and Comments
11:00 a.m.   Manufacturing Sector
             Analysis
Ernest Manuel, Project Manager
Mathtech, Inc.
12:00 noon   Lunch
 1:00 p.m.   Manufacturing Sector
             Discussion and Comments
 3:00 p.m.   Overall Conclusions &
             Recommendations
Jim Bain, Moderator
 5:00 p.m.   Public Meeting Adjournment
                                   12-16

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EPA/OAQPS

Joseph Padgett

James Bain

Allen Basala


John Raines

Jan Laarman

Raymond Palmquist

V. Kerry Smith

Thomas Walton


MATHTECH, INC.

Ernest Manuel
                          MAJOR PARTICIPANTS

                                       •


                   Director, Strategies & Air Standards Div.; EPA

                   Chief, Economic Analysis Branch; EPA

                   Project Director & Chief, Methods Development
                   Section; EPA

                   Chief, Section B, Ambient Standards Branch; EPA

                   Ass't Prof, of Forestry Economics; N.C. State Univ.

                   Ass't Professor or Economics; N.C. State  Univ.

                   Professor of Economics; Univ. of N.C., Chapel Hill

                   Economist; EPA
                   Project Director & Mgr. Economic Analysis Section;
                   Mathtech
Robert Horst       Senior Economist; Mathtech

Kathleen Brennan   Economist; Mathtech

                   Professor of Economics; Univ. of Wyoming

                   Professor of Economics; Univ. of Wyoming
Thomas Crocker

Ralph d'Arge
A. Myrick Freeman  Professor of Economics, Bowdoin College
PANEL OF EXPERTS

Gardner Brown

Anthony Fisher

Robert Haveman

Allen Kneese

Bart Ostro
                   Prof, of Economics; Univ. of Washington, Seattle

                   Prof, of Economics; Univ. of California, Berkeley

                   Professor of Economics; Univ. of Wisconsin, Madison

                   Professor of Economics; Univ. of New Mexico

                   Economist; EPA/OPE
George Provenzano  Economist; EPA/ORD
                                  12-17

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                              ATTENDEES
Name


Dick Atherton

John Bachmann

Lisa Baci

Jim Bain

David Barrett

Allen Basala

Tayler H. Bingham

Judith Bohan

Frank Bunyard

Vandy Bradow


Chuck Bray

Kathleen Brennan

Gardner Brown

Ed Burrows

Vega George

Jeff Cohen

Tom Crocker

Ralph d' Arge

Milt David

John M. DeMeester

Dale Denny

Bill Desvousge

George Duggan
Affiliation


EPA, Ambient Standards Branch

EPA, Ambient Standards Branch

GCA Corporation

EPA, Economic Analysis Branch

EPA, Source Receptor Analysis Branch

EPA, Economic Analysis Branch

RTI

N.C. Department of Natural Resources

EPA, Economic Analysis Branch

EPA, Environmental Criteria &
   Assessment Office

Occidental Oil Shale, Inc.

Mathtech, Inc.

University of Washington

Public Interest Economics

N.C. Department of Natural Resources

EPA, Ambient Standards Branch

University of Wyoming

University of Wyoming

DPRA

Dow Chemical

Environmental Research & Technology

RTI Economics

EPA, Economic Analysis Branch
                                   12-18

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Name
                                Affiliation
Mike Dusetzina

Anthony Fisher

Rick Freeman

Barry Gold

Linda Gree

John Haines

Terry Hammond

Geneva Hammeker

Debra Harper

Robert Haveman

Fred Haynie


Robert Horst

Richard E. Jenkins

Pam Johnson

Allen Kneese

Jan Laarman

Maureen Lennon

Tom Link

justice A. Manning

Ernest H.  Manuel, Jr.

Chuck Marshall

Kenneth McCarthy

Tom McCurdy

David MeLamb
EPA, Pollutant Assessment Branch

University of California, Berkeley

Bowdoin College

MRI

MRI

EPA, Ambient Standards Branch

Environment Reporter

DPRA

EPA, Economic Analysis Branch

University of Wisconsin

EPA, Environmental Sciences Research
   Laboratory

Mathtech, Inc.

EPA, Economics Analysis Branch

EPA, Ambient Standards Branch

University of New Mexico

North Carolina State University

American Petroleun Institute

EPA, Economic Analysis Branch

TVA

Mathtech, Inc.

JACA

Duke University

EPA, Ambient Standards Branch

EPA, Economic Analysis Branch
                                   12-19

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   Name
   Affiliation
John C. Morrissey

Calvin Ogburn

Nancy Olah

Bart Ostro

Tom Pace

joe Padgett


Ray Palmguist

G. E. Pashel

Johnnie Pearson

Paul R. Portney

George Provenzano

Harvey Richmond

John Robson

Hugh Rollins

Sue Schechter

Janet Scheid

Souad Shehata

Robert Short

Roger D. Shull

V. Kerry Smith

Elaine Smolko

David H. StonefieId

Mike Teague

Henry Thomas
Yale/American Enterprise Institute

Carolina Power & Light Company

Korf Industries, Inc.

EPA, Office of Planning & Evaluation

EPA, Air Management Technology Branch

EPA, Strategies & Air Standards
   Division

North Carolina State University

Bethlehem Steel Corporation

EPA, Standards Implementation Branch

Resources for the Future

EPA, Office of Research & Development

EPA, Ambient Standards Branch

EPA, Economic Analysis Branch

GCA Technology

EEA

EPA, Economic Analysis Branch

EPA, Economic Analysis Branch

EPA, Economic Analysis Branch

U.S. Department of Energy

University of North Carolina

Duke University Medical Center

EPA, Standards Implementation Branch

H & W

EPA, Ambient Standards Branch
                                   12-20

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   Name





C. Van Sehayk



Vincent Smith



Bill Vatavuk



George Viconivic



Tom Walton



Marianne Webb



Al Wehe



John Yocom



Earle F. Young, Jr,



Larry Zaragosa
   Affiliation






MVMA



North Carolina State University



EPA, Economics Analysis Branch



GCA Technology



EPA, Economic Analysis Branch



N.C. Department of Natural Resources



EPA, Economic Analysis Branch



TRC



AISI



EPA, Ambient Standards Branch
                                   12-21

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                 APPENDIX B








Comments from Panel of Experts in the Field of



       Environmental Benefits Analysis
                      12-22

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                      Comments Prepared On:

      BENEFITS ANALYSIS OF ALTERNATIVE SECONDARY NATIONAL
        AMBIENT AIR QUALITY STANDARDS FOR SULFUR DIOXIDE
               v AND TOTAL SUSPENDED PARTICULATES

                           For Review

                       July 27-28, 1981
                    Raleigh,   North Carolina

                     Gardner M.  Brown,   Jr.
                    University of  Washington
       "Benefits Analysis  of Alternative  Secondary  National Ambient

Air Quality  Standards  for Sulfur  Dioxide and  Total Suspended  Particu-

lates,"  is an  exceptional piece of research.  The  theoretical under-

pinnings of  the applied economic  analysis are at the  forefront  of the

profession.  The analytical model used by Mathtech appeared in  the best

economics journals only six years ago.

      The general presentation is articulate, careful and quite complete.

The authors  identify the  plausible alternative research strategies

available at each juncture of the analysis.   The explanations given for

the models adopted, the behavioral responses  captured—and not cap-

tured—by the models,  the variables included and excluded and the

alternative assumptions which might have been made are professionally

treated.  There is a welcome tone of critical evaluation present,

surprisingly more than one finds in professional journals.  The results

are presented clearly and the statistical features are capably and

critically treated as well.  The repeated checks for the sensibility

of the results are laudable.                                          ,
                                12-23

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       It pays to allocate  different  levels  of  effort  to  different




 tasks depending on the  economic  importance  of  the  sectors.   Such dis-




 crimination is evident  in  the volumes reviewed.  As a  result  the house-




 hold  and manufacturing  reflect the highest  quality of  analysis.




       It is apparent  from  reading the study and  from  the discussion




 which ensued at the meetings in  Raleigh, at which the  study was re-




 viewed,  that there are  serious data limitations which  limit benefit




 analysis and bring into question the precision of the  estimates ob-




 tained.   This fact prompts a recommendation and a query.  The recom-




 mendation is for Mathtech  to identify the missing data which in its




 estimation  presented  the greatest bottlenecks  toward reaching accurate




 answers.  The "holes" should be ranked and  a brief explanation should




 be given  about  the gains to be made if the  four or five most highly




 ranked gaps  in  data were filled.




      In view of the fragile data base would not it have been better




 to have adopted other modes of analysis, particularly  those with less




voracious appetites for data?  My uncomfortable judgement is no.



 One alternative is to have  done nothing  except  choose  the best  esti-




 mates gleaned  from a literature review.   These  estimates could not  have




come from a  better data base—it  does not exist—and  their  conceptual




foundations  are not conceptually  superior to the ones adopted, in




my judgement.




      A second alternative is to  have conducted different studies with




the existing data base.   I do not think the credibility of  the re-




sults of  the alternative studies  necessarily would have been better
                                12-24

-------
 and it well might have been much worse.  Other approaches, for example,




 gain simplicity simply by making even more assumptions than appear in




 this study.  For instance, to assume firms are governed by a Cobb-




 Douglas production or cost function is to rule out the possibility of




 interactions,  which the Mathtech analysis shows to be statistically




 significant in their analysis in the manufacturing sector.  In short,




 neither the alternative of doing no further  analysis  nor  the  option of




 doing another  type of study has  unequivocal  attractiveness.




       Another  perspective is gained by the reader  considering the




 scientific  credibility of studies which supported  earlier environmen-




 tal decisions  of the same order  of magnitude as the secondary standards




 in  question.   Is it  superior to  the credibility of the present study?




 I think not, although there may  be one or  two exceptions.   Thus, if




 there  must  be  a.  benefit  analysis of the secondary  standards and if




 there  is insufficient time to  enhance  the  data base much  beyond the




 present level, then  my conclusion is  that  the overall  benefit  estimate




 found  in this  study  is reasonable.   It  appears  that the authors have




 taken  precautions, perhaps too many,  to make  their  estimate of  bene-




 fits lower  than  what reasonably  might be expected.  One exception to




 this general conclusion,  maybe SIC  344,  fabricated  structural netal




 products, in the manufacturing analysis, for  reasons given  at  the




meeting in Raleigh.




      The comments which  follow are  directed to particular sections of




 the  study and  are  more detailed  in character.
                                  12-25

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                            Volume  1







 3-3      If a firm was  sensitive  to pollution  and  had  to  choose a loca-




         tion in within a  county, what  is  the  probability it  would




         locate  where pollution is  measured?   I  am concerned  here and




         elsewhere in the  study that firms will  locate where  pollution




         is low,  not high, ceteris  paribus, and  pollution is  not  being




         monitored in the  low pollution areas, on  average.  What  bins




         does this create?   The study cites Freeman's discussion  of bias




         but I did not  find  this issue addressed in Freeman.





 3-11     Please add a figure exhibiting the discussion on this  page.





 3-21     What is  the correlation of Temp with Sechigas?







                           Volume  2







 4-12    We  only have to have perfect information  about welfare effects




         if we want to have an error-free model.  A weaker assumption




        which permits well behaved errors will do.





 4-20     Are damage functions related to changes in concentration?  Why




         not add  "marginal" damage?





 4-24    Can you ask Waddell what he meant rather  than assuming what he




        meant?





4-78    It would be useful to explain what "consistent" means since it




        pays such an important role in choosing an aggregator.
                                  12-26

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 5-30     The  explanations  on  this  page  seem strained.   Households  cannot

         consistently  lag  in  adjusting  to  air  quality,  continuously

         changing  in one direction.  Arbitrage prevents this  in  a  com-

         petitive  framework.


 5-31     If there  is discounting of environmental  improvement, this is

         testable  using lagged relationships.


 5-35     When  prices are linear in a market, a dcr.nnd function i ^ rsti-

         niated by  fitting  a function from  prices obtained in different

        markets.  The cross-section provides  the  price variability

        necessary to estimate the price slope for quality.  This is

        explained in G. Brown and R. Mendelsohn,  "Hedonic Travel Cost

        Method," University of Washington.


5-36    Explanation does not make sense.  You cannot use the price

        function to get infra-marginal values.


5-37    This discussion holds when the Polinsky-Shavell assumptions are

        met.   I suggest citing them here.


4-8ff   The treatment of methodological issues Is  helpful.   The  study

        points out that people can vote with their feet in  response  to

        pollution, moving to cleaner areas, incurring some  cost, not

        necessarily captured by wage or property value differentials.

             The treatment of separability is very good on  the whole.

        I think it is  a strong assumption  to separate consumption from

        leisure  and here  is a place to  be  more candid.   Moreover,  it  is
                                                                      (
        possible to test  for  separability  within groups and
                                12-27

-------
         across groups.   Some of the more vulnerable divisions might




         be  tested.  Groups 2 and 3 might be aggregated or groups  2  and




         4.  Drycleaning might be tested for separation from clothes.




             In all the sectors, there should be tests for stability




         at  the mean and at the observation points.





4-152    I am troubled that separability and rules of aggregation  can




         lead to a price increase, i.e., produce a result counter  to




         our expectations.  Maybe this suggests that the model has




         problems.





4-160    It is assumed that the primary standard is achieved in 1985




        and the secondary standard met two years later.  Assumed  also




         that any SMSA below the primary standard in 1978 remains  at




         the 1978 levels to 1985.  Cities at secondary levels do not




        receive any benefits.  But what if quality would have deteriorated




        in the absence?  Thus this assumption understates benefits.





4-162   Are the prices implied in the income projections consistent




        with the prices imbedded in the assumption that relative prices




        do not change?






                           Volume 3
7-61    It would have been good to have a bit more explanation about the




        importance or unimportance of rented capital.





7-61    Is it of any concern that the study use an opportunity cost of




        7 percent for the manufacturing sector and a discount rate of <




        10 percent?
                                 12-28

-------
               It would be useful to exhibit standard errors and estimated

         coefficients in the  TC  and  MC  functions,  at  least  for SIC 344

         which is so critical.


 7-46+   Assumption 2 assumes a  doubling  of  input  prices  doubles the  out-
 7-98
         put  price.   The estimated output price  equation  indicates that  a.

         doubling of input prices is not  associated with  a  doubling of

         the  output price for six of the  seven industry classifications.

         The  assumptions and  facts are  eternally inconsistent.

               With respect to the discussion of missing  data,  I suggest an

         experiment to get some  feeling for  using  sample  means  for the

         missing  data.   Why not  remove  some  observations  in  Sector 344,

         say,  and put the sample mean in  instead?  One could  then see the

         effect the  change has on the basic  results obtained.


 7-128ff  Why  are  Ernie's  elasticity  of  substitution estimates with re-

         spect to capital,  so much smaller than were  found in  this study?


 7-126    Small shares  definitely is  a problem.   I  expect  it has  produced

         results  equivalent to concave  (misbehaved) isoquants.   There are

         standard tests  for stability which should be made.

 7-178    Regional shares  of output are  assumed to  remain  constant.  Is

         this  assumption  the usual one made by federal agencies  predicting

         future regional  output and  income, and so forth?   If not, your

         study is  internally inconsistent.


 Section  8—Utilities
                                                                      r

         This  section does not seem  to be a vitally important one  and I

have the sense that it was not done as painstakingly as other sections.


                                  12-29

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                               8





For example, we are treated to a most sophisticated measure of capital
                »


in the manufacturing sector, but here the measure of capital is quite



simple:  capacity, augmented by capacity utilization.  Age of plant



never is significant and that seems a little odd.  One sentence will do



about why the elaborate approach is not necessary in this section.





8-17    Sulphur is aggregated across plants in a linear fashion if I



        understand the statement on 8-17, but the aggregate outcome is



        entered non-linearly in the analysis.  If the stakes were high



        the aggregation rule should be more carefully constructed.  Also



        if stack heights really mattered, I would think more carefully



        about the linear rule .used.  Stacks' height surely is not a con-



        stant marginal cost item.   Besides it too enters linearly in the



        regression.




8-44    Investigators used restricted Cobb-Douglas functional form be-



        cause of too many variables.  They could have excluded some



        variables as was done in other sections.  For example,  age and



        wage rate were never significant so could be omitted on a trial



        basis.   Rain and sulphur content also could be  removed.   Regional



        benefits assume no relocation of population forever.   That is



        probably a strong assumption.  Note that benefits are zero in



        the Pacific region and  positive in the Central  regions.   If



        people  continue to move to  the Pacific region,  benefits will



        have been overestimated.
                                 12-30

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                            Volume 4






 Agriculture






         I  have a  strong temptation to regard  this as a marginal piece




 of  work.   If,  in  response, I was  challenged  to come up with  a  better




 estimate of the benefits to pieces of agriculture from changing SCL




 levels,  I  doubt I could do it.   At least  I  am not confident I  could.




 Thus,  judged against  the terribly important standard of  doing  the  best,




 given  reasonable  constraints, this is a good  study.   Suppose,  however,




 I was  asked to review an edited  version of  Section 9 for a  journal.




 I would reject it.




        What troubles me most is the  inadequacy  of the data base.   I




 would  have  thought yield/acre depended on the level  of capital (e.g.,




 machinery)  inputs.  It  is  omitted.  I would have  thought that  the  mar-




 ginal  produce  of  labor  diminished  and depended on the  level of other




 inputs.  It  does  not—not  in the equation used for benefit  estimation




 (Tables 9-10,  equation  2).  Using  regional  observations  for labor  in




 the production of soybeans  (used  also to produce  flax  seed) may be




 the closest  one can approximate  a  representative  farmer's decision.




 It seems like  an heroic  assumption to me.  Regressing  yield per acre




 on labor per region is also a bit  curious.




        Data for  the years 1975,  1976, 1977 are assumed  to be  drawn from




 the same population in the yield equations.   Is there  adequate variability




of SCL  over  these years, holding region constant?




        Why aren't the estimated costs to Texas cotton and soybean  farmers




from decreasing SO  entered into the  analysis and net benefits computed?







                                  12-31

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                              10






9-45    Why were past prices used as a proxy for expected prices when




        futures prices exist for cotton and soybeans?





9-24    Would not the acreage planted be a function of costs as well as




        prices, unless of course the cost of producing the crop and its




        substitute are the same?  (See 9-24).




             Given the present data base and the results  of  this study,




        should EPA finance studies of other crops?   Or wh.it  kind of




        priority should such studies have in EPA's  ranking of  studies?
                                  12-32

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   Comments on "Benefits Analysis of Alternative
Secondary National Ambient Air Quality Standards for
  Sulfur Dioxide and Total Suspended Particulates".
                                                                 rr
                        by
                 Anthony  C.  Fisher
        University of California,  Berkeley
    Presented  at a public meeting  put  on  by  the
    Environmental Protection Agency  in Research
    Triangle Park, North Carolina
                July 27-28, 1981
                         12-33

-------
                   Comments  on  "Benefits Analysis of Alternative
                   Secondary National Ambient Air Quality Standards
                   for  Sulfur Dioxide and Total Suspended Particu-
                   lates"
                                       by
                                 Anthony C. Fisher

     This five-volume  study represents a very significant advance in the theory
                                                                                 .T
and method of estimating the benefits from air pollution control.
     For some time I have been presenting this topic as involving two basic
approaches:  1) estimating  (the reduction in) physical damages as a function
of a change in air quality  and then imputing a value,  and 2) estimating in one
step the relationship  between a change in air quality and a market value, such
as property value.  To these one could add a third,  less widely used:  asking
individuals what they  are willing to pay for designated improvements in air
quality.  The first is the  approach generally taken  by non-economists, and as
the authors of the present  study argue, is likely to be inconsistent with a
theoretically preferred approach to benefit estimation (one that gets at
                                                           »
willingness-to-pay for a change).  Further, it is beset by severe data problems.
The second has been used by economists, including the  authors of this study.  It
is consistent with theory,  but is perhaps not well suited to the task at hand
in this case.   The difficulty is that in principle it  captures health as well as
non-health benefits,  and the charge of the present study is to estimate only
the benefits of moving from primary to secondary standards, i.e., only the non-
health benefits.   The third approach has the obvious drawback of depending on
response to hypothetical questions, rather than observed behavior.
     The great merit I see in the main body of the present work is its develop-
ment and application of a new approach, one that is  consistent with the theory
                                         12-34

-------
                                         -2-
 of benefit estimation  in that it does get  at willingness-to-pay for  air  quality,
 discriminates  among  classes  of benefits in such a way that it (in principle)
 captures  only  the  benefits of moving from  primary to secondary standards, and
 depends on observed  behavior in markets for conventional goods and services.
      In the more detailed remarks that follow I shall raise a number of  questions
 concerning still (to me)  unresolved theoretical issues, and the relationship of  ,
                                                                                 rr
 the  new,  "sector"  approach to the existing approaches to benefit estimation.
 The  focus  is mainly, though  not exclusively, on the household sector, because
 this is where  I see  the  more challenging remaining issues.  Also, much of the
 previous work  by economists,  such as property value studies,  has been in this
 area, so questions about  the relationship  of the present work to previous
 approaches are specially  relevant for the  household sector.
      I want to emphasize, before proceeding, that the questions  and comments
 are  offered in a spirit  of constructive criticism of a study  I regard as
 making a significant contribution to the field of environmental  economics.
     One set of questions has to do with the modes of adjustment to pollution
                                                          *
 by those who suffer from  it,  and the ways  in which adjustment behavior is
 reflected  in the theoretical   and empirical  analysis.   The authors point to their
 analysis here as important and  innovative.   I  agree,  and feel  this gives special
 urgency to unresolved questions.
     A first such question I  would raise,  then,  is the following.   In treating
 (as on pp. 2-27 and 2-28) the value of  a reduction in pollution  as the change in
 (consumers' and producers')  surplus,  how do the  authors  capture  the  effect of a
switch to  a different product or, more  likely  perhaps,  a different crop?  Figure
2-6, for example,  is clearly  valid if there is  no  switch.  But if there is,
shouldn't  one  look  at the net change  in  profits, or site rents,  either of which
                                         12-35

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might capture the  higher value of the new crop?  As far as I can tell, this
case is*not explicitly  treated either here (chapter 2) or in the empirical
analysis of the agricultural sector (chapter 9, pp. 34-77).
     My suggestion, then, is to try the property value approach, relating ambient
concentrations of  particulates or sulfur oxides to agricultural property values.
In the agricultural sector, as opposed to the household sector, comparative
                                                                                 rf
property values are not likely to reflect (human)  health impacts, and so are
appropriate for estimating ..the benefits of moving  from primary to secondary
standards.
     A related question concerns the ability of the model  to pick up benefits
in a situation where there is np_ adjustment by the pollution receiver.  Sup-
pose a decrease in sulfur dioxide or total  suspended particulates does not
lead to a decrease in household demand for laundry and cleaning products;
people just live in cleaner surroundings.   Does the model  pick this up as an
increase in utility in the household sector,  as it would an analagous increase
in output in the agricultural  or manufacturing sectors?  Or do the authors per-
haps underestimate benefit to the household sector for this reason?  Another way
of putting the issue here is to note that we  are getting into esthetics,  which
the model  is not designed to pick up.   Of course esthetics  might be picked
up, but only if people change their  market behavior in some fashion.
     A related issue is the following, raised on p.  4-11  and  perhaps  elsewhere.
The authors note there that "failure by the analyst to consider the range of ad-
justment opportunities...can lead to an overstatement  of benefits".   I believe
the outcome is just the reverse.   The  value of pollution abatement: is greater
if the receiver is free to make adjustments than it would  appear to be if the
potential  for making these adjustments is  ignored.   On the  other hand, the damages
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from an Increase  in  pollution would  be overstated, to the extent that  the  esti-
mation does not take account of possibilities  for mitigating them by defensive
actions.
     Both effects are easily demonstrated  graphically.   On  Figure 1, which de-
scribes a reduction  in ambient  pollution concentration,  the implicit price of
cleanliness is reduced from pQ   to pr  If no  adjustments,  or substitutions,  are
possible, the demand for cleanliness is inelastic and benefits  are  estimated  as
ABCD.  If, on the other hand, adjustments  are  possible,  demand  is relatively
elastic, and benefits are estimated  as ABCE.   The difference, DCE,  is  the  amount
by which benefits are understated if adjustment possibilities are ignored. A
similar analysis  in  the case of an  increase in pollution levels shows  the  damages
to be overstated  by  the amount  DCE on Figure Z.  For a  somewhat different  and
more detailed exposition, see  Zeckhauser and Fisher  (1976).
        Figure 1.  Reduction in Ambient
                   Concentration
Figure 2.   Increase in Ambient
           Concentration
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      Still  another related  point:  on p. 4-12 the authors note four ways  in
 which the  "null  response" may  arise.  I think there is a fifth, which  is  likely
 to  be important  in practice:   the costs of adjustment exceed the perceived damage
 This  point  is  implicit  in a discussion (p. 4-13) of the household's budget con-
 straint, but even  with  a perfect capital market, a response would not  be  ex-
 pected, or  observed, if costs  exceeded benefits.  This may be a point  of  some
                                                                                 (
 general relevance,  to the property value and wage studies as well.   If there are
 costs  of movement,  or of course other barriers to movement, neither property
 values nor  wages will fully reflect the benefits of an air quality improvement.
 Or  have I missed something?
     A second set of questions, or comments, has to do specifically with the re-
 lationships among benefit estimates based on (a) the "sector" approach, (b) the
 property value approach, and (c) the wage rate approach.   First,  as between
 the existing approaches, (b) and (c).   I understand these are not the authors'
main concern,but  a number of loose or vague references scattered  through the
 text might  be further considered.   Freeman (1979, pp.  118-121)  suggests that
                                                          •
under plausible conditions,  such as qualitative differences  in natural  resource
endowments or non-constant returns to scale, factor price (wage)  equalization
among regions will  fail, and benefits  of an air quality improvement are then the
sum of the absolute values of the  changes  in wage payments and  residential land
rents.  I  get the impression,  though,  again, the treatment of this  question  in
the text is rather loose,  that the authors  see property value and wage  changes
as somehow separate (and unequal?)  estimates of the same  thing.   Perhaps they
do not, but at a  minimum the discussion  ought to be made  more precise.
     With  respect to the relationship  between the sector  and property value, or
property value-plus-wage approaches,  the latter is an  upper  bound to the former
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 only if health effects and benefits  are accurately perceived, and  then  fully
       •'^O
 reflected in  property/wage values.   I  have suggested they may not  be  due to
 cost or other barriers to mobility.  Further,  it  is my impression, shared  I
 believe by many people in the field, that health  effects are not in fact
 accurately perceived, particularly where they  result from chronic, low-level
 exposure to a pollutant.   It is for  this reason I have argued elsewhere for
 a  separate estimate  of the health benefits of  pollution control.
      Now let  me raise a number of questions relating to the empirical pro-
 cedures  or findings  of the study.  Do  the authors find it disturbing, as I
 do,  that the  benefits of  attaining the secondary  standards as they calculate
 them on  the basis of either property value or  wage studies are orders of mag-
 nitude greater than  the same benefits calculated on the basis of the  (house-
 hold) sector  approach?  (The disparity is of course still greater if, as I
 have suggested,  it is the sum of property value and wage changes that measures
 the  benefits.)  Again,  as  I  have suggested, these alternative techniques may
 fail  to  capture the  health  benefits also not captured by the sector approach,
                                                           •
 and  may  underestimate such  benefits as they do capture.   Further, even if health
 benefits are captured in  property value or wage studies,  they are presumably
 exhausted by the move to  primary standards.   Does the disparity between house-
 hold sector and property  value/wage estimates suggest the existence of very
 substantial remaining  health  benefits from the move to secondary standards?
 Or is it all esthetics?   Or  could the sector approach be  substantially under-
estimating benefits,  perhaps  for the reasons I have suggested?   My guess is that
all three effects are present, and should  be noted as explanations of the wide
 disparity in results.
     A quite unrelated question I  have is  about discounting procedure.  It is

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 not  clear  to me  whether the estimates presented represent the present value,
 in 1980 dollars, of annual benefits of moving from primary to secondary standards,
                                                                  •
 as of  (I think)  1987,  or rather the present value, in 1980 dollars, of a stream
 of annual  benefits beginning in 1987—and if the latter, how long a stream.
 Also,  if the latter, why?  I believe that the other studies, to whose results
 the  authors compare their own, present only annual benefits.  It is not clear
                                                                                 rf
 to me  how  to interpret, for example, the comparison  with Freeman on p. 4-173,
 until  this question is clarified.
     A related comment is that a 10% real rate of discount, the one emphasized
 in the text and  (especially) the tables, seems much too high, even in today's
 fevered financial conditions, and certainly (one hopes) in the longer run.
 Results based on the 2% and 4% rates used for purposes of sensitivity analysis
 ought to be at least as prominently displayed.
     Finally, a comment suggested by the study concerning directions of future
 research.  Probably one of the most profitable would be more extensive physical
monitoring of ambient concentrations.   I vaguely recall hearing recently of
                                                           •
 some promising new low-cost techniques.   And in the absence of monitoring, the
 ability of environmental economists to build on the work represented in this
 study is greatly impaired.   For example, the authors note (p. 2-45)  that sulfur
 dioxide, the more important pollutant in terms of effects on vegetation, is
monitored in only 10% of U.S. counties,  thereby precluding analysis  of the
 forestry and fishery sectors.
                                      *   *  *
 Concluding Remarks
     The study is to be commended for its introduction of new and sophisticated
methods for estimating the benefits of air quality, and perhaps equally, for its
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                                        -c-
 readable  discussion  of  these methods.  The question can be raised  as  to whether
 the  theoretical development is worthwhile, or appropriate, since data limitations
 permitted application only to fractions of the several economic sectors dis-
 tinguished by the authors.  My answer is that the development is both worthwhile
 and  appropriate.  It leads us to identify gaps in the data and coverage.  As
 these gaps are filled,  the benefit estimates that can be generated will  be
 increasingly plausible, and defensible.
     A second, related  point, is that the conservative assumptions employed
 at various places in the study, and the other sources of under-estimation of
 benefits  identified in my comments, combine to suggest that the..resulting esti-
mates are lower bounds.  If, as I learned informally at the close of  the public
meeting, costs of achieving the secondary standards  are still lower,  we can be
confident that the standards are justified.

References
Freeman, A.M.   The Benefits of Environmental  Improvement:   Theory and  Practice.
   Baltimore:   Johns Hopkins University Press,  1979.
Zeckhauser,  R.J.  and A.C.  Fisher.   "Averting  Behavior and  External  Diseconomies",
   Kennedy School  Discussion Paper  41D,  1976.
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            Comments on "Benefits Analysis of Alternative
           Secondary National Ambient  Air Quality Standards
         For Sulfur Dioxide and Total  Suspended Particulates"

                          July 27-28,  1981

                         Robert H.  Haveman
                  University of Wisconsin-Madison
     A question of longstanding scientific importance concerns  the

basis on which  to appraise research which purports to add to the stock

of knowledge.   This question  is  what this  conference  is  about;  these

comments w'ill venture an answer as well.

     Several bases for appraising research —  especially, applied

microeconomic research — come immediately to mind.  They include:


     (1)  Do the empirical models rest on  a solid theoretical
          base?  Does the economic theory used represent that at
          the  frontier of  the discipline?    Is the theory
          interpreted correctly and is it employed appropriately
          in specifying the empirical models?

     (2)  Are  sound econometric methods used in  estimating the
          models?  Is the  basis for choosing the  techniques used
          rather  than alternative  approaches fully explained?

     (3)  Are appropriate data  used in the estimation?   Was
          superior  data available but not  employed,  and,  if so,
          why not?  Are the data  sufficient  to the task?

     (4)  Were the many judgments and  decisions necessary in
          empirical research made  judiciously, sensibly,  and
          with  good reason?

     (5)  Were  the  empirical results  interpreted correctly?  Was
          the  sensitivity  of  the  results  to alternative
          assumptions  tested?   Are the  limitations of  the
          estimates — and  their dependence  on particular
          assumptions — spelled  out  clearly?

     (6)  Are  the results  plausible?   Is  their relationship to
          other scientific research explored?  Are  they used
          appropriately in discussing policy implications?
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     In my  comments,  I  will appraise  the  study on each of  these
criteria.  To begin, let me offer a bottom-line:  The MATHTECH Report
is a very solid piece of work.   While the findings are clearly less
than  optimal  for  making  a policy  judgment,  they  are  the  most
comprehensive and easily  the most defensible  ones  in existence.   They
rest solidly on economic theory and derive  from  the application of
appropriate  modern  econometric  methods.  While they  are plausible,  I
would  find   it  more  difficult to  say that  they  are  believable.
However,  if I had to believe something about  the economic benefits
stemming  from reduced  soiling and materials and  crop damages of
attaining  secondary standards,  I would believe these  estimates.
     Let us  consider the study in terms  of  each of the criteria noted
above:   First,  the  microeconomic  theoretical basis for this  study is
precisely  on target.  Measuring  the  welfare gains from policy actions
is a  tricky business.   It requires the  careful specification of
utility functions and the precise definition  of the measures  of gains
and losses to be employed.  These welfare gains are  not observed, and
must be inferred from underlying behavioral responses to economic
stimuli.   The authors  of  this study have done a very  careful  job with
this component — they lay out clearly the underlying  theory,  state
openly the implied assumptions and constraints required to  develop
empirical estimates of the theoretical concepts,  and specify the
limitations of the estimates  even if  the  empirical  work  were to
conform to  theoretical requirements.   They  deserve  an A  on  this
criterion.
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     As with the  first criterion,  the  second — concerning  appropriate
econometric methods — is  also well-fulfilled.  The methods used are
advanced and  appropriate  to the task.   And,  by and large, they are
used artfully.  Especially in the household  analysis, the  approach is
sophisticated and  "state of the art".  In terms of both theoretical
underpinnings and econometric sophistication, this analysis should
find its way  into  the professional  literature.  Econometric methods
again deserve  an A.
     The third criterion concerns data and its use.   As  the  criterion
is phrased, the judgment regarding the absolute quality of the data
must be separated from the  judgment on its  use.   In  my view, the
authors have employed  the best  — and in many  cases —  the only data
relevant to the estimates  they require.   Indeed,  in a few instances,
the search  for data, the creation  of proxies where data did not  exist,
and their construction of data  bases assembled from information  from a
variety of  sources was most creative.  The development of input  prices
and capital inputs  and values  in  the  estimates for the  manufacturing
sector  is a case in point.
     Judgment  on  the overall quality of the data,  however,  is quite a
different story.  In several instances,  the  comprehensiveness and the
quality of the estimates have  been severely compromised  by the
availability  of  relevant  data.   For  example,  in estimating the
corrosion  and other  materials damage costs in manufacturing
industries, the lack of appropriate data has sorely constrained the
number  of  industries  which could  be analyzed  and the  significance of
the industries included.   Some  of the sectors most  likely  to be
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adversely affected by air pollution — for example,  the steel industry
— were excluded for data reasons.  In terms of the collection and
creation  of appropriate data,  the researchers  get high  grades.
However,  data constraints which  they faced — in  no  way their fault —
does impose serious limits on the reliability and comprehensiveness of
their estimates.
     The constraints imposed by the data raise a quite fundamental
question  regarding  the research strategy  chosen  for this sort  of
study.  Would one have chosen  the empirical approach suggested by
frontier  economic theory if one knew ex_ ante that the data constraints
relevant  to that research  option  would severely  limit industry
coverage,  such  that all but about  4 percent  of  the manufacturing
sector (including some of the most pertinent industries) would have to
be excluded from the analysis and that extrapolation based  on heroic
assumptions would be required to build an estimate of benefits for but
25 percent of the manufacturing sector?  Is it possible  that a  less
sophisticated,  more straightforward empirical approach, but  one
without the theoretical underpinnings  of that chosen, could yield
estimates which  are  at  least as plausible as the final,  extrapolated
estimates  of the approach chosen?  Clearly, some trade-off exists
between theoretical  and econometric  sophistication  requiring  poor  or
unavailable data and a less  pure,  less sophisticated,  less
theoretically sound analysis  which has fewer data needs.   I  have  some
doubts as to whether the study authors chose efficiently along  this
continum.
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     This comment is a natural lead-in to an appraisal of the numerous
judgments and decisions made  by the researchers  in executing the
project — the fourth criterion.  By and large,  I have little trouble
on  this  score.   The  numerous  operating decisions taken  by the
researchers appear  to me  to  be  based on clear thinking,  common sense,
and a recognized  need to press through  to  a bottom line estimate.
     Having undertaken the research and developed the estimates, the
next question  concerns their interpretation.  Are  the uncertainties
and potential biases created by the numerous  assumptions and data
limitations accounted for in  the  interpretation of results?   Or do the
researchers come to believe in their final estimates once  they have
been placed on paper?  It  is  with respect to  this  issue  that the
report can be  moderately faulted.   Perhaps my  main objection  on this
score concerns the tendency to believe in the point estimate on the
pollution variables  if statistical significance  is  found.  My concern
here rests upon several  considerations  —  the classical omitted
variables can serve as an  illustration.  The  bulk  of the benefit
estimates in the  report can be traced back to some regression in which
some dependent variable (e.g.,  industry costs) is related to  some air
pollution measure.   The issue is:  Are  there  phenomena which may
affect  industry  costs which are not included in the regression and
which may be correlated with air pollution levels?   If such  phenomena
do exist, the  coefficient on the pollution variable  will be  capturing
their effect as well as that  of  air pollution.
     Consider,  for example, the measured effect  of air pollution (TSP)
on total cost in the fabricated structural metal  products industry
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 (Table 1-25).  For the primary model estimated, the TSP variable is
 significant at  about  the 0.04 level.   In this model, TSP enters,  with
 the S02 variable  omitted.   The other explanatory variables are the
 prices of labor, capital, and materials inputs, and climatological
 variables.   The regression  is  fit  over  57 observations  which are
 counties with  available industry output and  input  prices,  and air
 pollution and climatological data.   Most  of these  counties represent
 urban areas.  The  question is:   Are there phenomena  associated  with
 industry costs  which  are not  captured by the included variables  (e.g.,
 input prices or air pollution)?   Some reflection suggests that  there
 may well be.  Urban problems — air  pollution,  crime, high poverty
 incidence,  low property tax base,  high urban  infrastructure costs —
 tend to come in bunches and  are often associated  with the size and
 nature of the metropolitan area.   All of these phenomena are likely to
 (1) adversely affect industry costs (if in  no other way than through
 local  taxation levels) and  (2)  be  correlated  with  air  pollution
 levels.   All are uniformly excluded from the regression.  As a result,
 the magnitude of the coefficient on  the air pollution variable  will
 reflect the cost  impact of these phenomena as well.  To the extent
 that it does, the effects of TSP on industry costs will be biased (and
probably overstated) — and  the benefits of reducing TSP levels are
likewise  biased.
     In the report,  little recognition is given  to this very  real
possibility, and — after some caveats — typically  the  coefficient is
accepted  at its  face  value.   This,  I  would  suggest  does  not represent
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a careful and thoughtful interpretation of  results.  On this  fifth
criterion, then, I can award  them no better than  a B-.
     The final criterion is,  in some sense, the nub of the issue:  Are
the results plausible and believable?   Answering this question is
difficult, as plausibility  is an elusive concept.  What  is  it that
causes one to believe or not  believe research  results?   Some of  these
factors  are  clear,  others  are  not.   Common sense,  institutional
knowledge,  comparison of  estimates with  known  related  values,
comparison of results with those of other studies, an assessment of
the limitations and biases  imposed by assumptions and constraints
adopted  in  the  research, and  an ability to trace  and verify  the
various  steps  in  the  analysis  are  all elements  in  establishing
plausibility.  At one level, I am inclined to  view the overall results
of the study as plausible.   The magnitudes  are not  enormous,  the
researchers have done an admirable job  in comparing their findings
with those of other studies,  the methodological basis is solid, and by
and  large,  most  of the  separate assumptions and  decisions  are
reasonable.  At another  level, however, I  am troubled.  The deeper one
probes into some of the estimates, the more one is impressed by the
tenuous nature of the terrain.
     Consider, as an example, the major  component of the benefits of
achieving the secondary standards.  The  benefits from achieving the
secondary TSP standard in the fabricated structural metal products
sector totaled $3.7  billion of the total  of $4.5  billion  of  estimated
total manufacturing sector benefits;  $11.4 billion of $15.9 billion of
total extrapolated manufacturing sector benefits  for the TSP secondary
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standard,  and $11.4 billion of $22.0 billion of total  benefits for the

household,  agricultural, manufacturing  and  electric  utilities

industries for both the SC>2 and TSP standards.   That  the estimate for

this small industry,  with $6.7 billion of annual 1972 value added —

0.6  percent of GNP —  should,  when extrapolated,  account  for over one-

half of  the  total estimated national  benefits  of the  secondary

standards  seems somewhat remarkable.

     The methodology applied in obtaining  this estimate involves a

regression estimate of  the effect of TSP on production costs in this

industry,  after  accounting   for  input  prices and  quantities  and

climatological factors.   The following  is  a  partial listing of the

constraints imposed and assumptions made in deriving this estimate:


     •     The  production function  in  the  industry is assumed to
          be  weakly separable.

     •     Prices  of inputs and level of output  in the industry
          is  assumed to be exogenously determined.*

     •     Climate  and  air quality are  assumed exogenous to the
          firms.

     •     The production function is  taken to  be  a  transcen-
          dental logarithmic function.

     •     Firms  in  the  industry  are assumed to  be  cost-
          minimizers.

     •     Symmetry  (values   of  cross  partial derivatives
          independent  of the ordering) is  imposed.

     •     Input prices  for all variable inputs  are homogeneous
          of degree 1.
* Note that independent evidence cited in the report indicates that
  wage rates are a negative function of air pollution levels.
                                  12-49

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•    Elasticity of total cost with respect to TSP and S02
     is assumed  to be independent  of  pollutant  concentra-
     tion.

•    Variations  in rainfall are  assumed  to  be independent
     of input cost shares.

•    The effects  of temperature  and rainfall  are con-
     strained not  to interact  with  each other.

•    The effects  of the fixed factors are  assumed to be
     independent of firm size.

•    The cost  function estimated is taken to represent the
     fictional "average" establishment in  the county.

•    All non-production labor inputs have  been excluded
     from the analysis.

•    Supplemental labor costs  (fringe benefits) have been
     excluded from the analysis.

•    Capital stocks and capital service prices for each
     industry and  county are defined and  measured so as to
     (1)  exclude land,  (2)  exclude  rented assets, (3) meet
     the constraints of a  particular  perpetual inventory
     formula,  (4)  accommodate inter-censal data gaps, (5)
     accommodate  missing capital expenditure data, (6)
     presume that  the  benchmark  year  of  capital accumula-
     tion is 1953, and (7)  fit a particular concept of the
     price  of capital services,  which assumes the cost of
     money  equals  the average yield on industrial bonds in
     1972,  average  tax  life  of assets  is  20 years,  the
     average effective corporate income tax rate is con-
     stant  over industries, the depreciation rate is the
     average  of  that  used in  two  other  studies,  and
     regional  asset prices are estimated  crudely from
     partial components of the Producer Price Index.

•    Materials inputs  and prices across  industries and
     times  were  constructed from less than  ideal data and
     (1)  assume national industry cost shares apply to all
     regions,  (2) price  indices for 38  percent of materials
     inputs are assumed to hold for all inputs, and  (3) the
     index  for 1958 to 1972 rests on regional prices only
     through 1963.

•    Equilibrium  output prices  are estimated as a Cobb-
     Douglas unit cost function using components  of the
     Producer Price  Index which crudely match the specific
     industry, a variety of functional  forms,  and input
     prices and time as independent variables.   Regional
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          variation was not introduced  into the output price
          estimates.

          Air pollutant and climatological variables,  by  county/f
          were  used,  after correcting  for  missing  data,  by
          inserting mean values.  Only the second average high
          measurement is used  for TSP.

          Quadratic and  interaction  terms  involving  air
          pollution  and climate variables were excluded  in the
          cost  estimations with stable partial derivatives of
          total cost.

          Benefits are calculated  for each county for  each year
          from  1978  to 2050 discounted at a 10 percent discount
          rate,  and aggregated up to obtain a national total.
          The reduced  estimated cost function without the SC>2
          variable was employed and output  forecasts for the
          larger SIC industry of which this industry  is a part
          were obtained from the Wharton model.
     Given this  set of  assumptions and  imposed  procedures,  the

question of the  plausibility of this dominant estimate of pollution

control benefits  must be answered.  While, in some sense, it is not an

extraordinary  figure,  there  are  substantial reasons for doubting its

accuracy — its magnitude relative to that of other industries, the

fact that  it  applies only  to corrosion and soiling damages (in a

context in  which  S02 was found to be  statistically insignificant), and

the fact that the benefits of achieving the secondary standards are

2.6 percent of production  costs  when total  expenditures  in  this

industry on maintenance and  repair equal 2.9 percent of total  payroll.

While this  estimate appears to be among  the  most  implausible of those

reported  in  the  study,  it is  also  the largest  and the dominant

contributor to the overall assessment  of the benefits of achieving an

improvement in air quality.   However, having said this,  it would not

be surprising if  many of the same kinds of concerns would surround
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other  components of  the estimates  were  they  to be  given close
scrutiny.  As to plausibility, then, I assign a B-, but with a large
standard error.
     After all this, then, what can be concluded?  The report is an
ambitious  effort to tackle  a  question which  may be  empirically
intractable  given  the  current state of data.  It rests  on  a  firm
theoretical underpinning, and data collection  and modeling has  been
vigorously  guided  by  appropriate,  state  of the  art  econometric
techniques.   The data has  been  gathered  carefully and  analyzed
vigorously.   The  interpretation  of results  is  somewhat unsettling in
that more  confidence  is placed  in estimates than they  appear to
warrant.   More  sensitivity analysis  should have  been  done  and
displayed.  And,  while  the reported results  are not unreasonable, it
is difficult to say that  they are  reliable point estimates.  A
doubling of some of  them or a halving of all of them, or the  placement
of values where none were assigned would not  make them more or  less
plausible.  They  are, nevertheless,  the most comprehensive  available
— and their  dependence  on  state-of-the-art theory and  empirical
techniques makes them uniquely defensible.
                                 12-52

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                   Comments by Allen V.  Kneese on
     Benefits Analysis of Alternative Secondary National Ambient
             Air  Quality Standards for Sulfur Dioxide and
                    Total Suspended Particulates

                           EPA, July 1981
     My general impression is that this document reports  on  a very

competent piece of research.   In general, its important strong  points

are:
     (a)   The analyses take  account of the fact that man  can
          adapt  to pollution situations.   Most other studies do
          not do this.

     (b)   The analysis  is  based  on appropriate,  carefully
          developed, economic models.

     (c)   The empirical work is technically sophisticated  and
          sound.

     (d)   The report is very well written.


     I do, however, have a number of questions and doubts (these are

not in order  of  priority).


     (a)   The study accepts the  legalistic fiction that primary
          standards completely protect against health effects,
          This is most likely not true and starting from this
          premise could seriously bias the interpretation  of  the
          study's results.

     (b)   It  counts no benefit for maintenance of high quality
          air in areas which already have  air  as good as,  or
          better than,  the secondary standards.  This could be a
          substantial  source of downward bias,  especially in
          rapidly developing areas of  the west.

     (c)   This is not a fault of the research  under  review  but,
          it  should be noted,  it  excludes categories of  benefits
          that may  be much  larger  than the  ones included  —
          these  may include health,  aesthetic,  and  nonuser
          benefits.
                                  12-53

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     (d)   Despite the  claim that  it does  not include  acid
          effects,  the study  did  implicitly do  so.    The
          statement is frequently made in the report that SC>2
          does  this or does that,  where in fact, it is not S02r
          but the actual  damage  often results from 803  and
          H3S04.

     (e)   This  leads to an  instance of  what may be  a rather
          general deficiency  in the report  — inadequate
          attention  to the  use  of prior  knowledge in  the
          specification of  estimation equations.  For  example,
          S02 and N02 may be highly correlated precursors of
          113804 and  HNC>3.   In some areas HNC>3 may be a  large
          source of acid damage.   If  HNC>2 is not included,  some
          of  its actual effects might be picked  up by the sulfur
          variable.  I understand  that  there are data problems,
          but specification issues are potentially so serious
          that  I  think they need  greater  attention in  the
          report.

     (f)   Another  general matter is aggregation  of variables to
          the county level.  I think  more  systematic  treatment
          of  what this means both conceptually and empirically
          is  needed.   For example,  in the industry studies,  can
          the county level data take adequate account of such
          potentially important  factors as technological  design
          of  equipment,  plant layout,  degree of  vertical
          integration,  etc.?   Given the aggregation  and crudity
          of  data, can  much credence be given to the  small
          effects  found, even though  in the  formal statistical
          sense they are "significant"?
A few more specific comments:
     (a)   On the household studies •— others have concluded from
          surveys  that  people do  not  alter  their  cleaning
          behavior when there is more pollution, but simply live
          in  dirtier  surroundings.  Since the disutility
          experienced because of  this cannot  be captured by the
          method used in  the  study,  a large  benefit may  be
          missed.

          Second, since  the available measures of atmospheric
          pollution are often poor reflections of actual ambient
          conditions, and since the exposure of home furnishings
          and equipment  occurs indoors,  it is  hard  to see how
          there  could be  any real  connection between  those
          measures and damage  to household items.
                                  12-54

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(b)   On  the manufacturing study,  I have already mentioned
     problems that might be associated with county-level
     aggregation.   But cost  differentials may be  more
     complex  than the study appears to recognize.  Hoch has
     found  systematic wage  differentials between large and
     small cities  for  what he took to  be all sorts of
     environmental  reasons (e.g./ traffic congestion, long
     commuting  times, crime, high levels of pollution).  If
     S02  correlates  highly with city  size, might not these
     analyses be attributing cost differentials to S02 than
     actually related to other things  also?   I realize that
     pollution and wages were controlled for, but it may be
     that other  "urban  phenomena" also affect costs.  This
     might  be tested by including  some sort  of an urbaniza-
     tion variable.

(c)   Utilities  —  one  might  think  they  would be  more
     affected by their own pollution than  by air ambient
     condition possibly measured some  distance away.
                             12-55

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                     APPENDIX C
Comments from the American Iron and Steel  Institute
                          12-56

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                 STATEMENT



                    OF





            EARLE F. YOUNG, JR.



              VICE PRESIDENT



          ENERGY AND ENVIRONMENT



     AMERICAN IRON AND STEEL INSTITUTE





                    AT





            EPA PUBLIC MEETING



                    ON





"BENEFITS ANALYSIS OF ALTERNATIVE SECONDARY



  NATIONAL AMBIENT AIR QUALITY STANDARDS



       FOR SULFUR DIOXIDE AND TOTAL



          SUSPENDED PARTICULATES"



                    BY



               MATHTECH INC.





               JULY 28, 1981
                   12-57

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        My name is Earle Young.  I am Vice President, Energy and Environ-
ment for the American Iron and Steel Institute.  AISI is a trade associa-
tion whose 65 domestic member companies account for 91% of the nation's
steel producing capability.  I am extremely gratified to have this oppor-
tunity to present some comments relative to a technical report containing
benefit analysis methodology related to the National Ambient Air Quality
Standards.
        AISI has long been an advocate of the use of cost benefit analy-
sis in the area of environmental regulations.  In our major policy state-
ment, "Steel at the Crossroads: The American Steel Industry in the 1980s,"
published in January 1980, AISI said in discussing the Clean Air Act:
"All welfare related requirements should, at a minimum, be subject to
rigorous cost benefit analyses and local options."  Therefore, the report
being discussed today, "Benefits Analysis of Alternative Secondary National
Ambient Air Quality Standards for Sulfur Dioxide and Total Suspended Par-
ticulates," is of great interest to us.
        The steel industry is very familiar with the cost side of the cost
benefit considerations in the steel industry.  Just today, we have released
a report by Arthur D. Little, Inc., entitled "Environmental Policy for the
1980's: Impact on the American Steel Industry" which shows that the steel
industry has already in place $5 billion dollars worth of equipment  (in
1980 dollars) to control air pollution and will in the next few years be
spending another $1.3 billion essentially to achieve the present primary
standards.  That report also shows that if the industry is forced to make
additional expenditures directed at attainment of the secondary standards
it will have to spend by the end of this decade another $3.8 billion.
Thus, we do have what we consider is a good estimate of the costs of achiev-
ing the secondary standard for particulate.
        The other half of the cost benefit consideration is evaluation of
the benefits.  The steel industry has long recognized that it is much more
difficult to evaluate the benefits of achieving air quality standards than
to estimate the costs.  Therefore, we welcome efforts to develop a quanti-
tative methodology which will put those benefits on some sort of a sound,
realistic basis.
                                     12-58

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        Since the primary pollutant emitted by the steel industry and the
one we have spent and will spend the greatest amount of money to control
is total suspended particulates , we were particularly interested in that
portion of this report dealing with the particulate standard.
        A quick analysis of the report showed that it indicates a total
benefit value of about $18 billion dollars for achieving the secondary
standard for total suspended particulate, of which $16 billion can be at-
tributed to benefits in reduced costs to the manufacturing sector.  By a
complex mathematical analysis, the contractor has developed a relationship
which indicates that manufacturing costs , particularly in the metal fabri-
cating and machining industries, are higher where suspended particulates
in the air are higher.
        The mathematics involved are quite sophisticated.  AISI does not
have the expertise internally to comment on them.  Therefore, we have re-
quested an outside expert to review and comment on the methodology and
mathematics.  Following my presentation, Dr. Dale Denny of ERT, Inc., will
present a more detailed analysis of the methodology.
        A major point that I would like to make, however, is that the con-
                                         *
tractor ' s report makes no attempt to distinguish between correlation and
causation.  It is not particularly surprising to me that manufacturing
costs are somewhat higher in areas where the total suspended particulate
content in the air is somewhat higher.  Generally speaking, you can expect
higher particulate levels in the air in concentrated urban areas, where
there are greater concentrations of people and traffic, where there are
older manufacturing facilities, where there tends to be an older, more
unionized labor force, and where there tends to be a higher cost of living
and higher tax rates.  These are exactly the same factors which one would
expect to result in higher costs of production.  The older plants located
in these more polluted areas are precisely the plants which do tend to
have higher production costs.  Therefore, I repeat, I don't find it sur-
prising that some relationship may be indicated or calculated between pro-
duction costs and the average level of air pollution in the areas.  On
the other hand, I see nothing in that sort of correlation which implies
causation, nothing that indicates it is the air pollution which leads to
these higher production costs.  The authors point out deep in Chapter 7
                                     12-59

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of their text that their findings, "do not prove the existence of a cause
and effect relationship."
        A well known statistical correlation exists between the stork
population and the human birth rate in Rothenstead, England; yet, I haven't
believed for a long time that there is a cause and effect relation between
stork population and human birth rate.  In his classic paper, "Use and
Abuse of Regression," George E. P. Box discusses the phenomenon of "non-
sense correlation" and discusses "regression variables and latent varia-
bles" and points out that regression coefficients can be "utterly mislead-
ing. "
        Yet, the entire statement of benefits, the attribution of a value
of $16 billion as a benefit attributable to the attainment of secondary
standards, depends on the existence of such a cause and effect relation-
ship.
        Thus, we are seriously concerned that the methodology used in this
study has resulted merely in an apparent correlation and that, in the in-
terpretation of the study, that correlation will be construed as causation.
Benefits could be attributed to the secondary standards which, in truth,
do not in any factual sense relate to the attainment of those standards.
        We ask that you give very serious consideration to this question
of correlation versus causation before any use is made of the potentially
misleading results generated in this study.
        I would now like to introduce Dr. Dale Denny of ERT who will pre-
sent a critique of the study and its methodology.
                                    12-60

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      TESTIMONY:  A CRITIQUE OF EPA
         COST  BENEFIT ANALYSIS ON
     SECONDARY AIR QUALITY STANDARDS
         ERT Document No. P-B129
               Prepared for
    American Iron and Steel Institute
          1000  16th  Street, N.W.
         Washington,  D.C.    20036
Environmental Research & Technology, Inc.
601  Grant  Street,  Pittsburgh,  PA   15219
              July 28,  1981
                     12-61

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                         Table of  Contents









o    Introduction




o    Contractor's Premise and Choice of Data Base




o    Contractor's Regression Analysis of the Data




o    Statistical Significance of  Contractor's Final Results




o    Appendix:   Specific Models  for SIC344
                                   12-62

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                                 INTRODUCTION

     My name  is  Dr.  Dale A.  Denny.   I am Senior  Program Manager with the
 Environmental Engineering Group of  Environmental  Research  and Technology,
 Inc. (ERT).  I  was  formerly a technical manager in  the U.S.  Environmental
 Protection Agency,  Office of Research and Development.   I  and my
 colleagues at ERT have  reviewed the subject contractor report, "Benefits
 Analysis  of  Alternative Secondary National Ambient  Air Quality Standards
 for Sulfur Dioxide  and  Total Suspended  Particulates" and wish to offer
 comment on the  study  and its conclusions.  The  focus of our  comments  are
 on the parts of the report  that address  information from the Manufacturing
 Sector, Volume  3, Section 7  and Volume  5, Section 10.  Six 3-digit  SIC
 categories are  evaluated in  the Manufacturing Sector,  but  our emphasis
 addresses SIC 344 (Fabricated  structural metal  parts).
     We appreciate the difficult task that faced MATHTECH,  Inc. in its
 assignment; we  recognize that  they have  tried to make use  of state-of-the-
 art econometric models,  but  we  seriously question whether  or not this
 modeling approach properly fits  into this benefits  analysis.  The
 contractor has used a multiple  regression technique with the premise  that
 there  is a correlation  between  air quality and costs of production  in the
 manufacturing sector.   There is no evidence to display this  relationship
 on  a cause-and-effeet basis, and we believe the contractor is aware of
 this lack.  However, the  report concludes that, in  spite of  a lack of
 knowledge of cause-and-effeet,  there is a positive  correlation between
 production costs and air  quality and then assigns  dollar benefits to  the
 air standard on the basis of this correlation.   We do not believe that the
 contractor has  shown the confidence that one can assign to this
 correlation,  nor has he  shown the uncertainty that accompanies the use of
his production  cost  model in calculating marginal  costs due  to incremental
 changes in air  quality.   Until these state-of-the-art,  unproven
 econometric  models have been otherwise  verified, we do  not think that the
models can be used and extrapolated  to  calculate benefits on a national
scale.  Fundamentally  we also have serious  problems  with (1) the
contractor's  choice  and  manipulation of  data bases for  the  study and
                                       12-63

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 (2)  the  contractor's  efforts  to achieve a solvable regression and  to
 demonstrate  the mathematical  significance of his results.  Unless  and
 until  the  EPA  and  its  contractor can resolve adequately these
 reservations,  we question  the  technical significance of MATHTECH's report
 as a basis for assigning any  quantitative measure of benefits to
 attainment of  the  secondary air quality standards.  We believe that when
 the  EPA  and  its contractor take into account fully the variability in  the
 data as  employed in the subject study and express accurately the standard
 errors in  final study  results, no statistical significance will be evident.
     What follows is a  discussion of specific problems we believe cast
 serious  question on the usefulness of the study results.  Remarks  focus
 first on the contractor's premise and choice of data bases.  Comments  are
 then directed  to the contractor's regression modeling.  Finally, comments
 are  made regarding the statistical significance of the contractor's
 findings.

                            CONTRACTOR'S PREMISE
                           AND CHOICE OF DATA BASE

     The  contractor's basic premise is that (1)  a statistically significant
 portion  of the variability in national statistics on SIC 344 manufacturing
 costs can be explained by variations in ambient S0_ and TSP air quality
 (2)  such a relationship can be shown to exist at a county-level of
 aggregation of air quality and manufacturing cost data.  There is a large
 set  of factors which is known to contribute to  wide variability in
measured local air quality levels,  e.g.,  rural  vs.  urban station readings,
 proximity of station to industrial vs.  other sources (power plants, road
 dust, cars).   There is also a large set of factors  which the industry
knows contributes  to observed variability  in member company SIC 344
manufacturing costs,  e.g.,  cost of labor,  cost  of materials,  cost of
 capital,  age of facility and its various  process units, geographical
 location.  It was  the contractor's  challenge either to address these
                                       12-64

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 factors and,their interpendencies directly,  or  to  demonstrate a procedure
 for filtering out these  dependencies  to  permit  a direct  observation of the
 degree of impact  of variable  air quality levels on manufacturing costs.
 We believe that the contractor has inadequately tried the second approach,
 and has not displayed  in his  report the  data that  would  demonstrate the
 many simplifications,  and  assumptions, that  were necessary to make  the
 problem mathematically tractable.  In most cases it appears to us that the
 contractor's  efforts addressed questions  regarding how to make the
 mathematics fit the problem rather than  the  question of  the
 appropriateness of the model  and the assumptions for the problem.

 Air Quality Data  Base

     Serious analysts of  air pollution and its sources  appreciate the local
 nature of emission impacts on air qualiaty.   They  also appreciate the
 difficulty of  allocating cause for both  the  levels  and the variability in
 levels of local air quality to specific  sources.   Without specific
 evidence of justification, the contractor has dismissed  all of these
 interactions.  He  has  chosen  to aggregate available local air quality  data
 to  a countywide level.   In so doing, he has  largely decoupled the local
 relationships between  emission sources and air  quality.   The result  is an
 estimate  of the average air quality in each  county  having a SIC  344
 facility.   The contractor's report does not  contain information  to
 evaluate  either the  representativeness of these averages,  or the size  of
 the  standard deviations in estimated values.

 Manufacturing Cost  Data Base

    Having chosen  the county level  for the display of  data,  the contractor
 found  it necessary  to aggregate  large  amounts of site-specific
manufacturing statistics  to produce  estimates of the manufacturing costs
                                       12-65

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 for  an  average  SIC  facility.  The contractor's view of the difficulties
 inherent  in  such  a  exercise speak for themselves:

     "	the total cost  function is based on the assumption of
     cost-minimizing behavior on the part of individual firms.  It
     is  therefore  more  appropriately estimated using data on
     individual  firms.  However, the data available from the  -
     Census of Manufacturing are county totals for all of the
     firms  in each county.  To reduce the potential problems
     introduced  by the  aggregation of data across firms, we
     divided total cost, C, and total quantity of output, Q, in
     each county by  the number of establishments, N, in the
     county.  This does not completely solve the problem of
     aggregation but may reduce its importance	the cost
     function is hypothesized to represent the production
     structure for the  "average" establishment in a county."
     (P7-113, Text)

Again,  the contractor  provides neither specific indication of the
representativeness  of his averages for each SIC 344-containing county nor
the  size of the standard error in his estimates.

                       CONTRACTOR'S REGRESSION ANALYSIS
                                OF THE DATA

     Contractor  selection of the county-level  as the level of data
aggregation yielded a maximum candidate sample size of 124 sets of data
(economic and environmental) for regression analysis (Text Table 7-12).
When corrected  for missing economic  data, the sample was reduced to only
57 sets of data.  To achieve even this sample size, missing SO- and TSP
data had to be estimated for 21 and  three data sets, respectively.
     In its most general form,  the contractor's regression model contains
54 coefficients all of which must be estimated on the basis of only 57
sets of data.  Even the contractor admits to  the impossibility of
                                       12-66

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 meaningful  analysis  with such  a mismatch  in model complexity  and  data
 availability.   Through a series of  largely unsubstantiated  assumptions
 regarding  the  actual behaviour of the  SIC 344 air quality/cost
 relationship,  the  contractor attempts  to  reduce  the complexity  of his
 regression  model  to  one compatible  with his meager data base.   The result
 is  a  regression model with 17  coefficients (Model 4;  SIC  344).  While most
 analysts would  expect to use many more data sets to reliably  estimate such
 a large number  of  coefficients, the contractor estimated  his  coefficients
 using his meager sample size of 57  data sets.
    When fitted with its estimated  coefficients, the  contractor regression
 model perports  to  correlate manufacturing costs with  a series of  variables
 including air quality.   The cost model, by itself, is not central to the
 benefit analysis.  The  partial derivitive, a quantity derived by
 mathematical manipulation of the cost model, with respect to  air  quality
 is  the critical term upon which further benefit estimates and
 extrapolations  are made.   Thus, the contractor must take  the mathematical
 partial derivative of his  regression model to arrive at his final model
 for estimating  benefits  from air quality improvements.  In  the  case of
 TSP,  the result is an equation for marginal total cost of productioin due
 to  changing TSP level  (MTCTSP) with only three coefficients.  Although we
 appreciate  the mathematical accuracy of the step, the AISI  seriously
 questions whether the available data base justifies such a mathematical
manipulation.  At a minimum, we note somewhat skeptically that  the widely
accepted complex problem of air quality benefits analysis has in  the end
been reduced by the contractor to numerical analysis of a three parameter
modelJ  These particular parameters  are identified by the contractor as
parameters  which describe  interactions between TSP and labor costs,  TSP
and  material costs, and TSP alone on the MTCTSP.
                                       12-67

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                           STATISTICAL SIGNIFICANCE
                      OF THE CONTRACTOR'S FINAL RESULTS

     The  contractor  argues  the significance of his results in two ways,
 (1)  by displaying range  in his SIC 344 results, e.g.,  S240 to $410
 improvement  per microgram  of TSP per cubic meter per establishment and
 (2)  by conducting tests  on the statistical significance of individual
 coefficient  estimates and  on the collection of coefficients in his model.
 Neither  of these procedures represents a full test of  the statistical
 significance of the partial differential or marginal cost portion of his
 regression model results which are the basis of his calculation on which
 is based the study  conclusions.  The range of data for MTCTSP merely
 represent the results of two modeling calculations made with different
 assumptions.  The statistical testing applies only to  individual
 coefficient data in the cost model rather than the more important marginal
 cost model.  No test, statistical or otherwise, is proposed to give a
 quantitative measure of the uncertainty in the individual estimates of
 marginal costs (MTCTSP)  for each of the models.  A quantitative measure of
 uncertainty in individual  estimates of marginal costs  is more relevant for
 a decision maker forced to make a value judgment on benefits than a
 display  of a range of results from different models.
    While the above problems are troublesome, our greatest concern centers
 on the contractor's procedures,  or, more accurately,  his lack of
 procedures for identifying and dealing with uncertainty in his data
 bases.  We are dubious of  the merits of any air quality-related analysis
which is predicated on county-wide averages of data.   However, if the EPA
 and its contractor wish to postulate such a basis for their data, it is
 incumbent upon them (1) to provide reasonable estimates of the standard
 errors inherent in their county-based average values  and (2) to propagate
 these errors to their logical impact on the statistical significance of
 final study results.  We believe that,  when properly  corrected for the
 full impact of data base variability, contractor results will show no
 statistical significance.  While the contractor performs no such analysis
                                       12-68

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of significance,  his own words seem to suggest his bias toward the
possible outcome:

    "	total cost of production in certain industries are
    positively associated with local ambient TSP/S02
    concentrations,  after accounting for other sources  of cost
    variation  (e.g.,  input prices,  in-place  capital,  and
    climate).  These findings  are,  of course,  contingent upon the
    assumptions made in the analysis and do  not prove the
    existence of  a cause-and-effeet relationship."
    (p.  7-202 Text).
                                      12-69

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                                  APPENDIX
    In critiquing the contractors  report  we found it helpful to write out
the multiple regression models in  expanded form and to show explicity the
reduced form of the equations  for  Model 4, SIC 344.
    The general regression model in  (Equation 7.9 Text)

    log C = aQ +  a..^  log P£ + 1/2  a., log P£ log P,.
               + b0 log Q + 1/2 b00(log Q)2 +   bQ1  log  Q log P£
               +   c._j  log P.^  log  Zj  H-     d£ log Z£
               + 1/2   d£j log a£  log Zj  +   eQi log Q log Z.,
     The  54  Coefficients  to be evaluated may be  grouped  as:

     (a)   Economic coefficients  (18 numbers)

          aO» al» a2« a3>  a4   and
          all» a!2» a!3
          a21» a22> a23
          a31» a32> a33    and

          bO> bOO» b01> b02> b03 where
          1  = (labor), 2  = (capital, 3 = (materials)

     (b)   Economic-environmental coefficients  (12 numbers)

          Cll» C12' C13>  C14
          C21> C22> C23'  C24
          C31» C32» C33»  C34 where cij
         i = (1, 2, 3) =  (labor, capital, materials) and
         j = (1, 2, 3, 4) =  (S02> xsp, TEMP, RAIN)

                                      12-70

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      (c)  Environmental coefficients (20 numbers)

          dl, d2» d3« d4 and
          dll» d!2» d!3' d!4
          d21' d22' d23' d24
          d31» d32> d33» d34  where dij

          i,j = (1,2,3,4) = (S02> TSP, TEMP, RAIN)

      (d)  Size of Firm - Environment coefficients (4 numbers)

          C    o    A    o   w n fi IT G

          (1 = S02, 2 = TSO, 3 = TEMP, 4 = RAIN)

     The important equation for marginal total cost due to incremental
charge in TSP is of the form

     MTCTSP = (C/TSP) (£  ci2 log P± + d2 + , d2- log Z- + eQ2 log Q)

which has 9 coefficients to be evaluated, namely:
     C12 = (labor» TSp) coefficient
     C22 = (capital,  TSP) coefficient
     C32 = (materials,  TSP) coefficient
     d2 = (TSP) coefficient
     ^21 = (TSP>  labor) coefficient
     d22 = (TSP,  TSP) coefficient
     d23 = (TSP,  TEMP)  coefficient
     d24 = (TSP,  RAIN)  coefficient
     602 = (s^26  °f firm, TSP)  coefficient
                                       12-71

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For SIC 344, Model 4, the marginal cost equation reduces to a three term
expression using data reported in the text (p.  7-214).
               fc)
     MTCTSP =      ' [0-020111 10S Plabor ' °-026114      mat'ls
          + 0.069585)

Using as a definition of uncertainty the ratio of the coefficient standard
error divided by its value (data from table,  p.  7-214 Text),  we may
estimate that in the above equation,  the first coefficient (number) has an
uncertainty of about 102 percent,  the second  coefficient - 90 percent
uncertainty,  and the third coefficient - 80 percent uncertainty.  The
contractor does not demonstrate the influence of these uncertainties on
the estimation of MTCTSP.
                                      12-72

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            SECTION 13
ANALYSIS OF POLLUTANT CORRELATIONS

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                             SECTION 13
                 ANALYSIS OF POLLUTANT CORRELATIONS
INTRODUCTION

     The sector models  estimated in Volumes II through IV of this
report include only two measures of ambient air pollution — total
suspended particulates (TSP)  and sulfur dioxide (S02).  Other  pollu-
tants,  however,  may also  contribute to  the physical  effects or
behavioral responses analyzed  in the models.   For  example,  ozone
concentrations are believed to be an important factor in explaining
reductions  in yield for  various agricultural crops [Criteria Document
(1)].  Unfortunately,  because of data limitations,  it was  not possible
to test whether  estimated coefficients for other pollutant measures
were significantly different from  zero  in the model specifications.
In many cases, the number of observations  would have  been reduced to
less than ten if data on additional,  plausibly significant, environ-
mental variables were employed.

     If other  pollutants are indeed relevant explanatory variables for
the postulated models, then  omission of these  variables  results in a
specification ecror.    This has implications for the  statistical
integrity of  the estimated models.   In  fact,  in the case  where there
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is a non-zero  correlation between an omitted variable and an included
variable, the estimator of the included variable will be biased and
inconsistent.  The direction of bias in such circumstances  depends on:
1) the sign of  the correlation  between the omitted and  included
explanatory variables;  and 2) the  sign of the coefficient  of the
excluded  variable  when the  "true" regression model is  estimated.   If
these two factors  work in the same direction, the bias imparted to the
coefficient  of the included  variable will be positive;  otherwise,  it
will be negative.

     Another way to view the problem of multiple pollutants affecting
behavioral  responses is  in terms  of proxy variables.   That is,
inclusion of a single pollutant measure in a specification  serves as a
proxy for the  many pollutants that may affect behavioral decisions.
In this case,  the  statistical issues are better analyzed as an errors-
in-variables problem rather  than as an omitted variables problem.  The
implication of  adopting such a perspective (i.e., proxy variable) is
that the  relevant  explanatory variable becomes "air quality" and not a
specific  pollutant.  Given that the objective of this  study is to
determine the  benefits associated  with particular pollutant standards,
individual  pollutants and  not the generic  "air quality" are the
desired  variables for the  various specifications.   In fact,  the
results  of  physical damage function  studies  provide support for
including specific pollutants  in the developed  models.   As a
consequence, empirical estimation of the specifications best proceeds
in terms of the  pollutants.  Thus, we feel it is more  appropriate to
                                  13-2

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examine  the issue of multiple pollutants as an omitted variables



problem.







     This section of the  report addresses  the omitted variables



problem by analyzing pairwise correlations between various pollutants.



Under  the presumption that  pollutants other than TSP  and SC>2 are



relevant  explanatory  variables  in the sector models,  the  analysis of



correlations provides a  partial indication  of the  direction and



severity  of  bias that may be present  due to specification  error.







ESTIMATION OF CORRELATION COEFFICIENTS







     Correlations among  the two pollutants included in the sector



models of this report (TSP, S02), and five pollutants  not  included in



the sector  analysis  —  nitrogen dioxide (N02);  carbon monoxide (CO);



ozone  (03);  total  oxidants  (TOX); and total hydrocarbons  (THC) — are



examined in this subsection.   The discussion of  bias due  to an



omitted,  relevant explanatory variable is based on results derived



explicitly  for single equation, linear multiple regression models.



Although  such models  are  more restrictive than  the nonlinear systems



methods employed in some  sections of this  report,  similar  conclusions



with respect to bias can be made.  In  fact,  the problem may be made



worse, since as Theil (2)  notes, a disadvantage of full  information



systems estimation is that any biasedness and  inconsistency problems



may be propagated  to all equations in the  system.  Thus, even if only
                                  13-3

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one equation in the  system is mis specified, statistical problems need
not be limited to  the  single equation.

     Our analysis begins with a general overview of the statistical
problems  that arise  with the omission of a  relevant explanatory
variable from a regression  specification.  This is followed by a brief
discussion  of  the source of the air quality data.  Finally,  results
are reported for pairwise correlations between  air pollution variables
when the variables are defined  in  three distinct  ways.  Specifically,
correlations are reported  for alternative assumptions with respect to
the spatial,  temporal, and pollutant measurement characteristics of
the data.  A major conclusion of the analysis is that the degree and
direction of bias introduced because of the omission of a relevant air
quality variable  is sensitive  to  the forms of the variables used in
the analysis.   This  result  highlights the importance of selecting the
"correct" measure  of air quality for use  in benefits analyses.

Statistical  Background*

     The problem examined here involves the omission of a  relevant
explanatory  variable from a linear,  multiple regression model.  Assume
that the correct specification of an equation is:
          Yi  =  PI +  '32xi2 + /33xi3 + Ei
* The discussion in  this subsection is taken from Kmenta  (3)
                                  13-4

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but because  of  lack of dataf it is not possible to develop a data
series for  Xi3.  Thus, the equation  that is estimated is of the  form
                                                              (13.2)
In this case,  it can  be  shown  that the  expected value  of the
coefficient £2  in  Equation (13.2)  is equal to

       E(/82)  * #2 + /33d32                                    (13.3)
where
                 2(Xi2 - X2) (Xi3 - X3)
                     •r / v   -_ ^ \ *"
                     2(Xi2 - X2)
In the case where Equation (13.1) is estimated,  the expected value  of
£2 is equal to /S2.   This  is  the  statistical property of unbiasedness.
As can be seen from Equation (13.3), estimation of the misspecified
equation  (13.2) will lead to a biased estimate of £2 with the bias
equal to /83d32.  The purpose of the present analysis  is to  attempt  to
define at least the sign  of  £3d32 so that it is possible to identify
the direction  of bias.
     There are two components  to the term ^2<^22'   The firstf  £3?
represents  the marginal effect on Y^ of a  small change  in X^3.   If we
think of X^3 as some measure of air pollution and YJ as a variable
                                  13-5

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describing  an  output that may be affected by air quality improvements
(e.g.,  agricultural yield),  then  we might generally  take /?3  as
positive.   However, because Equation (13.1)  has not been estimated, it
is not  possible,  without outside  information,  to determine  the
magnitude of £3.

     The second component of interest is  d32.  As shown in Kmenta  (3),
this term  represents  the coefficient in the linear specification
relating  the excluded and  included  explanatory  variables.   In
particular,

        Xi3   =  ^31 + d32xi2  + residual                       (13.5)

Note that  the coefficient d32 in  a regression specification  like
(13.5) can  also be stated in terms of the correlation between X^2 an(^
Xi3:

                  sxi3
        d32   =  r 	                                       (13.6)
                  sxi2

Here, r is  the simple  correlation between X^2 and Xj_3, SX^3 and SX^2
are the standard errors of X^3 and X^2, respectively.

     In view of Equation  (13.6),  if £3 is  different  from zero,  then
estimation  of  the  misspecified  (13.2)  will  lead to an estimator of £2
that is biased unless d32 is zero.  That  is, unless Xj_2 and X^3 are
                                  13-6

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uncorrelated.  If ySj and dj2 ^ave the same sign,  then  the bias will be
positive;  otherwise  it will  be  negative.  Note that  additional
information on SXi3 and SX^2 would be required before  one could assess
the magnitude of dj2«   However, knowledge of the simple correlation
may help provide a partial indication of the severity of the bias.
All else equal, a small correlation will  lead to less bias than a
relatively  high correlation.*

Source of Data

     The data used  in  the calculation of  correlations are  taken from
the SAROAD data base maintained by  EPA.  The measures of TSP and S02
included in  our  sector analyses also  came from  SAROAD.   Although
measures of concentration can be obtained on a  daily basis,  the data
used here  represent annual  measures.  This  is consistent  with the
frequency assumed in the estimation of the sector models.  In addi-
tion, only those sites meeting EPA's summary criteria for reporting
annual  averages  are included  in the  correlation analysis  of this
section.  Finally, because of  a  possible bias in  S02 data collected by
the gas bubbler method, only continuous monitor  S02 data are  included
in the correlations reported below.   Similarly,  no N02 data collected
via the biased Jacobs-Hochheiser method  are  included in this  analysis.
* Statistical problems can also arise with a zero correlation between
  an included and an excluded variable.  With zero correlation, the
  estimator  of  /32  is no  longer biased.   However,  the estimator of the
  variance of £? in  tne  misspecified equation will contain an upward
  bias,  so  that  tests of statistical  significance will  be overly
  conservative.
                                  13-7

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     Data were available for the seven pollutants mentioned earlier
for each of  seven years, 1972 through 1978.  The total  number  of valid
site observations by pollutant and year are  shown  in Table 13-1.
Although it would be possible to analyze pairwise correlations as a
time series  across the seven years,  all correlations reported  here are
based on cross-sectional data.

Spatial Variation

     For this  analysis,  we focus on  three factors that  help define the
air  quality  variable.   These  included  the  attributes of  time,
                             Table  13-1
    COUNT OF AVAILABLE SITE OBSERVATIONS FOR CORRELATION ANALYSIS
Year
1972
1973
1974
1975
1976
1977
1978
TSP
2,172
2,294
2,634
2,702
3,105
3,133
3,003
so2
1,356
1,874
2,824
3,138
3,644
3,482
2,498

N02
53
95
685
964
1,162
1,000
783
Pollutant
CO
323
429
606
676
733
734
715

°3
1
19
81
138
207
232
247
TOX
62
67
68
57
23
26
18
THC
40
50
21
59
67
59
50
                                  13-8

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location,  and measurement type.   In  this  section, we assume that the
time and pollutant measurement factors  are fixed,  and analyze the
impact of changes in spatial  definition on the pairwise correlations.
The locational  identifiers examined include sites,  counties,  and
Standard Metropolitan Statistical  Areas (SMSAs).  For this analysis,
the time period  is  fixed at 1978  and  all correlations are reported for
annual arithmetic means.

     The data reported in Table  13-1 are  site data.  This represents
the most disaggregate data in terms  of location currently available.
Each site is  identified by a 12-digit identification code.  Observa-
tions are included in the analysis of pairwise correlations only if
data are available  for  both pollutants at  a given site.

     The second  level of spatial aggregation is the county.   Air
pollution statistics at the county  level were evaluated in three ways.
First,  the arithmetic average  of  readings from all sites in the county
were calculated.   Second,  the  maximum across  all sites in the county
was recorded as the  indicator of  county  air  quality.   Finally,  the
minimum across  all site readings in the  county was taken as the air
quality index.  Although correlations were calculated for each of
these ways  of forming an index of  county air pollution, only the
correlations  involving  the arithmetic  means are reported  here.   Note
that the number of observations at  the county level can exceed the
number of observations in the analysis of site data since different
sites in a county may monitor  different pollutants.
                                  13-9

-------
     The final level of aggregation  was to the SMSA level.  Since
SMSAs are groups of contiguous counties, the SMSA air quality index
was formed in a manner equivalent  to  that described for  the site-to-
county  aggregation.   In particular,  indices  reflecting average,
maximum, and minimum of county readings were developed.  As with  the
county data, the SMSA data reported here represents the arithmetic
average  of county parts.

     Note that correlations at the SMSA level are reported only  for
the 24 SMSAs  used in the household  sector analysis of Volume II.  This
limitation was imposed only in the interest of reducing  the scope of
the analysis.

     Results of the  correlation analysis  for  the  three levels of
spatial aggregation  are shown in  Tables 13-2 and 13-3.  The tables
show the correlations between TSP and the other pollutants,  and  SC>2
and the  other pollutants,  respectively.

     It  is difficult  to draw specific conclusions from the correla-
tions reported  in these tables.  First, the correlation coefficient by
itself  does  not provide sufficient  information to  determine  the
possible magnitude of bias due to an omitted variable.  Second, no
information  is provided in  the tables as to the statistical signifi-
cance of the reported correlations.
                                  13-10

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                              Table  13-2
   CORRELATION COEFFICIENTS FOR 1978 ANNUAL ARITHMETIC MEANS OF TSP
   AND OTHER POLLUTANTS FOR DIFFERENT LEVELS OF SPATIAL AGGREGATION

Area
Site
County
SMSA

so2
0.521
0.117
0.020*

N02
0.450
0.373
0.432*
Polli
°3
-0.037
-0.075
0.141*
it ant
CO
__
0.082
0.586*

TOX
0.486+
0.657+
—

THC
0.648
0.611*
0.291"1"
                              Table  13-3
     CORRELATION COEFFICIENTS FOR 1978 ANNUAL ARITHMETIC MEANS OF
 S02 AND OTHER POLLUTANTS FOR DIFFERENT LEVELS OF SPATIAL AGGREGATION

Area

Site
County
SMSA
Pollutant


TSP
0.521
0.117
0.020*

N02
0.554
0.285
-0.266*

°3
—
-0.084
0.048*

CO
--
-0.058
-0.108*

TOX
—
0.991+
—

THC
—
0.046*
-0.693+
 *  15  to  30  observations.
 +   3  to  14  observations.
—  Less than 3  observations.
                                   13-11

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     With  respect  to the  latter  observation,  note that if  the
pollution measures are normally distributed random variables,  a test
statistic of the form
          t*  =   T-  „  .                                      (13-7)
follows a student-t distribution with  (n-2)  degrees of freedom.*  In
Equation (13-7), r-^ represents the pairwise  correlation and n is the
number of observations.  For t  greater than  the  critical value (given
a significance level), the null hypothesis of no correlation would be
rejected.

     A plot  of the frequency of concentration intervals indicates that
the  pollution data tend to follow  a  log-normal distribution.
Consequently,  the test statistic in Equation (13-7)  is  more properly
applied to a logarithmic (base e)  transformation  of  the  original  data.
This transformation was made for the 1978 county annual arithmetic
mean data and correlations computed.  The  results are recorded in
Table 13-4.   Except for the logarithmic transformation, the definition
of the variables in Table 13-4  is  equivalent to the middle rows of
Tables 13-2  and 13-3.  Table 13-4 shows that  at the  5 percent level of
significance (two-tail test),  we fail to reject the  null hypothesis of
* See Neter and Wasserman  (4), p. 405.
                                  13-12

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                            Table 13-4

            SIGNIFICANCE OF CORRELATION COEFFICIENTS FOR
                1978 COUNTY ANNUAL ARITHMETIC MEANS

TSP With:
rij
n
t(n-2)
S02 With:
rij
n
fc(n-2)
S02

0.168
221
2.52*

0.168
221
2.52*
N02

0.423
335
8.52*

0.425
124
5.19*
°3

-0.074
156
-0.92

0.025
89
0.233
CO

0.130
144
1.56

-0.127
99
-1.26
TOX

0.490
7
1.26

0.997
3
12.88*
THC

0.587
29
3.77*

0.214
20
0.929
* Significantly different from zero at the 95 percent level of two-
  tailed t-test.
no difference for 1) TSP with  CO, TOX, and 03;  and 2) for S02  with CO,

THC, and 0^.



     A comparison of the middle-row correlations in Tables  13-2 and

13-3 versus the  correlations in Table 13-4 illustrates  that the

mathematical form of  the  data represents another way in which the

variables  may  be  characterized.   Additional  application  of the
                                 13-13

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significance test of  the  correlation coefficient will be presented in
the discussion of the specific Mathtech sector  models.

     A qualitative observation can also be  made with respect to the
variation in the reported correlations.  From the tables, it is clear
that both the magnitude  and sign of the correlation coefficient are
sensitive to the level of spatial  aggregation.   For example, in one
case, the correlation is positive  at  the site and county level, but
negative at  the SMSA  level.  Thus, for  any given  study, the definition
of geographical unit  may be an  important element that influences the
magnitude and direction  of bias introduced because of  a misspecified
equation.

Temporal Variation

     Tables  13-5 and  13-6 show  the  pairwise  correlations found at the
county level for three distinct years.  The statistical measure for
each pollutant is the annual arithmetic  mean.  Table 13-5 reports the
correlations between TSP  and the other  six pollutants, while Table 13-
6 records the correlations between  S02 and the other pollutants.  The
calculation  of correlations  for  different years was done to check the
stability  of  the measure  across time.   This  can  be important
information for time series, cross-section  models  or  in those cases
where there is some flexibility in  the choice  of data from a specific
year.
                                   13-14

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                              Table 13-5

       CORRELATION COEFFICIENTS FOR ANNUAL ARITHMETIC MEANS OF
      COUNTY LEVELS OF TSP AND OTHER POLLUTANTS FOR THREE YEARS

Year
1972
1975
1978

so2
0.023
0.388
0.117

N02
0.206
0.351
0.373
Polli
°3
—
0.134
-0.075
itant
CO
0.058
0.175
0.082

TOX
0.341
0.728*
0.657*

THC
0.175
0.609
0.611*
                              Table 13-6

       CORRELATION COEFFICIENTS FOR ANNUAL ARITHMETIC MEANS OF
      COUNTY LEVELS OF S02 AND OTHER POLLUTANTS FOR THREE YEARS


1972
1975
1978

TSP
0.023
0.388
0.117

N02
0.339+
0.289
0.285
Polll
°3
—
0.037
-0.084
itant
CO
0.201
0.161
-0.058

TOX
0.219+
0.143+
0.991+

THC
-0.396+
0.115*
0.046*
 * 15  to 30 observations.

 +  3  to 14 observations.

— Less  than 3  observations.
                                   13-15

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     As in the tables reporting correlations for different location
aggregates,  Tables  13-5 and  13-6 show  that  the correlation
coefficients  vary  across the  different years.    In  general,  the
correlations are not large in magnitude.  However,  as noted earlier,
this is not sufficient  information to determine the  magnitude of bias.
From the information reported in the tables, it is only possible to
address the  issue of  direction  of  bias.   If  the correlation
coefficient and the  (unestimated)  coefficient  of  the relevant excluded
variable have the same sign, the bias  is positive; otherwise it is
negative.

     It is important to reiterate that this discussion  of bias depends
on the  assumption that  an excluded variable is a relevant explanatory
factor.  In  the economic models  estimated in this report,  there are
typically no sound  economic  reasons for  believing that one or more
pollutants belong in a particular specification.  As a consequence,
there must be  reliance on literature such as that summarized in the
Criteria Document   (1)  to guide the  selection  of  environmental
variables.   For the soiling, materials damage, and yield reduction
effects analyzed  in this report, there  is evidence that both N02 and
0^ may be relevant  explanatory factors.  For example, N02 has  been
implicated in  the fading and  yellowing of textiles,  while 03 has  been
shown to have  a deleterious impact on a  variety of agricultural crops.
Note that if other  likely impacts  of air pollution,  such  as health
effects and  aesthetic  impairments,  are considered, then each of the
                                 13-16

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seven  pollutants looked  at here  may be expected  to be  relevant
variables  in  a  benefits analysis.

Variations in Pollution Measurement

     A third way  in which the correlation of air pollution data can be
reported  is by the statistical measure used to summarize the data.
Three such measures  are analyzed  in Tables 13-7 and 13-8.   These are
the arithmetic mean,  the  geometric mean, and the second highest
readings.  These statistical measures were chosen because they are
consistent with  the  forms typically used in the definition  of the
ambient air quality standards.

     The correlations reported in  Tables 13-7 and 13-8 were calculated
for combinations of pollutants  defined for the  same statistical
measure.   That is,  the correlations  shown for "arithmetic  means"
represent the case where both pollutants were measured in this way.
Correlations  that  mixed the  statistical measures were calculated but
they are not  reported here.

     As a  point of clarification,  the  arithmetic mean used earlier in
defining a county index  from  site  data is  a different measure than the
arithmetic mean  reported  in Tables 13-7 and 13-8.  In these tables,
since the data are  defined at the county level,  the row  labelled
arithmetic mean should be interpreted  as  an arithmetic  mean of site
data in a county, where the site data are recorded in-terms  of the
                                  13-17

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                              Table 13-7

    CORRELATION COEFFICIENTS FOR 1978 COUNTY-LEVEL DATA OF TSP AND
         OTHER POLLUTANTS FOR DIFFERENT STATISTICAL MEASURES

DLaulSulCcLL
Measure
Arithmetic mean
Geometric mean
Second high

S02
0.117
0.117
0.000

N02
0.373
0.383
0.214
Pollut
°3
-0.075
-0.233
0.043
:ant
CO
0.082
0.097
0.109

TOX
0.6S74
0.324+
0.576+

THC
0.611*
0.553*
0.348*
                              Table 13-8

    CORRELATION COEFFICIENTS FOR 1978 COUNTY LEVEL DATA OF SO, AND
         OTHER POLLUTANTS FOR DIFFERENT STATISTICAL MEASURES

Statistical
Measure
Arithmetic mean
Geometric mean
Second high
Pollutant


TSP
0.117
0.117
0.000

N02
0.285
0.309
-0.085

°3
-0.084
-0.278
-0.085

CO
-0.058
-0.071
0.166

TOX
0.991Hr
0.955"1"
0.751"h

THC
0.046*
-0.120*
0.288*
* 15 to 30 observations.

+  3 to 14 observations.
                                   13-18

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annual arithmetic mean.  Similarly,  for the row labelled geometric
mean, the interpretation is that the  data represents the arithmetic
mean of site data in a county, where the site data are recorded  in
terms of the annual geometric mean.

     As might be expected,  the magnitude and signs of the correlations
for the arithmetic and geometric means are similar.  Also of interest
is the fact that the correlations for  the extreme measure,  the second
high,  appear to be generally lower in absolute magnitude.  As before,
since there is no knowledge of the magnitude of the  (unestimated)
coefficient for the relevant omitted  variable,  it is not possible  to
assess whether this lower correlation translates into a lower  bias
relative to annual mean measures.

POTENTIAL  FOR BIAS IN MATHTECH  STUDY

     Tables 13-2 through  13-8 report  correlations for  general
assumptions related  to time, location, and pollutant measurement
alternatives.  This was  done  to facilitate comparisons of correlations
when any  one of these  factors is varied.   Clearly, there are  many
other  ways in which  each  of  these  factors could  be defined and
combined to analyze selected pairwise  correlations.

     In this subsection, the three factors  are defined in ways  that
best represent the underlying structure of the three major economic
sector  models estimated in this study  — the household, manufacturing,
                                  13-19

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and agricultural  models.  Correlations are then  computed  for pairs of
pollutants.   One of  the  pollutants  selected will be  a  variable
included  in  the  economic model  under discussion,  while the other
pollutant represents an excluded variable  for which there is an a.
priori belief that  it may be a relevant explanatory variable.  As
before, the  correlations help to identify  the likely direction of
bias,  but  more information is required if the magnitude of the bias is
to be ascertained.   Finally, the statistical significance  of the
computed correlation  coefficients is determined for the manufacturing
sector results.   This sector  was  chosen  because the  air  quality data
used  in the  original study  (Section 7) are defined in  logarithmic
terms.  Consequently, the transformed  data more closely  follow a
normal distribution  and the test statistic in Equation (13-7) can be
applied.

Household  Sector

     The estimation of demand systems in  the  household sector model is
based on SMSA-level data from 1972 and 1973.   The  measures of TSP and
S02 included in the  reported specifications  are maximum  second high
values.

     One of  the demand equations for which S02  is a relevant variable
is the  demand for household textiles.   Evidence  in the  Criteria
Document (1)  indicates that this  is to be  expected since acids derived
from  S02 can  lead to  the discoloration and deterioration of  fabrics.
                                  13-20

-------
In addition,  the revised draft staff paper for N02 (5)  notes  that  N02
has been demonstrated as having  deleterious effects  on textile  dyes,
natural and synthetic  fibers,  metals, and various rubber products.   As
a consequence,  there  is  reason to consider N02 as a plausible  explana-
tory variable in the  demand equation for textiles.

     Correlations for  both  1972 and  1973 are calculated.  Because both
S00 and NO-?  observations  are limited to data  collected by current
  £        &
pollutant reference methods,  less than ten observations are available
in each case.  Note that the correlation  analysis described here is
appropriate  for single equation,  multiple regression models  only.
Since the household  sector analysis estimates  systems of nonlinear
demand relations, more complex methods are required  to determine  the
actual impact of omitting a relevant variable from the demand  specifi-
cations.


     Table 13-9 lists  the correlations between S02 and N02 in  1972  and
1973.  The geographic unit is the SMSA.   Since  the household sector
model used the  maximum  of  the second highs for  all  sites  in  an  SMSA,
this is the measurement unit  of S02  in the correlation  analysis.  This
measure is then correlated  with the maximums  of the  arithmetic  mean,
the geometric mean, and the second highs for N02.


     In the context of the  omitted variables problem, the correlations
reported  in Table 13-9 indicate that if N02 is a relevant  explanatory
variable,  then  omission  of  the variable would likely impart a  positive
                                  13-21

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                             Table 13-9
   CORRELATION OF S02/N02 FOR HOUSEHOLD SECTOR STUDY, 1972 AND 1973
          N02 Arithmetic Mean
          N02 Geometric Mean
          N02 Second High
                                  S02 - Maximum Second High
                                      1972*
 0.320
 0.350
-0.087
           1973**
0.530
0.480
0.375
 * Correlations calculated from five  observations.
** Correlations calculated from seven observations.
bias to the  estimator of the coefficient for S02 in the textile demand
equation.  This occurs because the correlation coefficient; is positive
in  all but  one  case.    In turn,  this implies  that  the benefits
associated with specified changes in S02 would be overstated.  This
result is independent of the three measurement types shown in Table
13-9 for 1973.  However,  if the appropriate N02 measure is the  maximum
of second high readings,  then the data indicate that in 1973 there
would be an  underestimate  of benefits.   Thus, the direction of bias is
sensitive to the measurement method and year of data assumed.

     Although it is possible to deduce the direction of bias,  it is
not possible to assess  the magnitude of bias without additional
                                  13-22

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information.   It  should be stressed that the discussion of bias rests



on the assumption that N02 is a relevant  explanatory variable.







Manufacturing  Sector







     The various  cost equations estimated in the manufacturing sector



were based on county-level  data for 1972.   The basis for  including



measures of air pollution in the cost specifications was to test the



hypothesis that  ambient  levels of air pollution  increase costs of



production for  specific  industries.  On the basis  of the analysis



conducted in Section 7,  measures of TSP or SC>2 were relevant explana-



tory variables in several of the 3-digit  SICs that were analyzed.







     As noted above,  N02  can have a damaging effect on a variety of



materials that may  be instrumental in production processes.   In parti-



cular,  N02-related damage  to  metal products  may be an  important



element in  increased production costs.  Thus, there is  reason to



believe that N02  may be a relevant variable  in the cost equations.







     Table 13-10 reports county-level correlations  for 1973 between



S02 and N02  as well as  between  TSP and N02.   Observations  were drawn



from the valid SAROAD data  and not limited  to those  counties covered



by the manufacturing sector analysis.   In  the  manufacturing sector



analysis, the TSP  and  S02  measures were defined as a logarithmic



transform of  the arithmetic averages of the  second hi-gh  readings



across sites  in a county.  This is the pollutant measurement index
                                  13-23

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                           Table 13-10

              CORRELATIONS FOR S02/N02 AND TSP/N02 FOR

                  MANUFACTURING SECTOR STUDY,  1973


S02 - Second High
Correlation
Observations
TSP - Second High
Correlation
Observations

Arithmetic
Mean

-0.249
22
-1.15

0.408
54
3.22*
NO2
Geometric
Mean

-0.179
22
-0.81

0.375
54
2.92*

Second
High

-0.082
22
-0.37

0.438
54
3.51*
* Significantly different from  zero at the 5 percent level of the two-
  tailed  t-test.
used in the correlation calculations shown in Table 13-10.  Because

the logarithmic transformation is approximately normally distributed,

the  test  statistic  of  Equation  (13-7)  is  used  to ascertain  the

statistical significance of the correlations in Table 13-10.   The

results of  this test are also shown in the table.



     Each  of the  correlations  between S02 and  N02 are  negative.
                                  •
However, the significance test  indicates that we cannot  reject the
                                  13-24

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null hypothesis that these correlations are zero.   Thus,  one  can infer
that omission of  N02 as an explanatory variable  in  the  manufacturing
sector analysis may  not lead  to bias in the estimated coefficient for
S02.   There  are three caveats  to this conclusion.   First,  the correla-
tions are computed from a  sample that differs from the one used in the
manufacturing sector  analysis.   Second,  prior  information  and
empirical testing must be undertaken before a specific form for NC>2
can be considered as the appropriate variable in the "true" regres-
sion.  Third, the correlation test is really only appropriate for
single equation multiple regression models.

     With respect to TSP,  the positive correlations  observed in Table
13-10 for all averaging times indicate  that the estimator of the
coefficient  for TSP may be biased  upward if NC^ concentrations contri-
bute to an increase  in  production costs.   Thus,  benefits for a speci-
fic  reduction in TSP  could  be overestimated.   In this  case,  the
statistical  tests of significance  indicate that  the  correlations are
significantly different from zero.  However, the caveats mentioned
above apply  here  as  well.

Agricultural Sector

     The estimation of yield equations  for soybeans and cotton in
Section 9 was based on  county-level agricultural, economic,  and air
quality  data from  1974 to 1976.   The air quality  data used in the
analysis  were data  from the second quarter,  rather  than annual  data.
                                  13-25

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This  was cone to better match the air quality readings to the time

period when the  crops  were likely  to  be most susceptible to air

pollution-related damage.  Because of data limitations,  only  measures

of S02  were  included in  the yield specifications  reported  in Section

9.*



     There exists a good deal of evidence from laboratory and field

studies that elevated levels  of ozone may be a significant contri-

buting  factor to  damage  for a variety of crops — including  soybeans

and cotton.  Thus, exclusion of  ozone from the yield equations may

lead to  a specification  error.



     An  analysis  of the  correlation between ozone and the SC>2 data

used in  the agricultural  study required the collection of air  quality

data different from that used  earlier.  In particular,  quarterly data

.were required for ozone  to be consistent with the  measure of  S02 used

in the  agricultural study.   These data  were obtained  from  the SAROAD

data  base for  the second  quarters  of  1974-76  for a variety of

averaging times.  The sample was limited in that  data were collected

only for 47 counties included  in the  agricultural analysis  of cotton.

Time  and resource constraints  precluded the acquisition of a more

general data base  for  this correlation analysis.   Even  with the

restricted sample,  not all counties had data available for both

pollutants in each of the years.  However, because three years  (one
 * TSP was not .considered  to be an appropriate explanatory variable for
  the yield equations.  However,  other pollutants may effect yield.
                                  13-26

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quarter per year)  of  data were available,  the sample  size  for the



correlations  is  greater  than 30.







     Table 3-11  reports  the correlations  between ozone and S02.   The



diversity  of  signs and magnitudes for the various pollutant measure-



ments shows  the sensitivity  of  results to the choice  of  pollutant



measurement.  This reinforces the  conclusion that caution  must be



exercised  in  an  analysis of the omitted variables problem.   The sensi-



tivity of  the correlation coefficients  to specific assumptions about



the form of the  excluded variable cannot be ignored.
                             Table 3-11



       CORRELATIONS OF S02/03 FOR AGRICULTURAL SECTOR STUDY —



                       QUARTERLY DATA 1974-76

so2
Average Second High
Maximum Second High
Avg. Arithmetic Mean
Max. Arithmetic Mean

Average
Second
High
-0.201
-0.380
0.250
0.188

Maximum
Second
High
-0.176
-0.315
0.312
0.233
Ozone
Average
Arithmetic
Mean
-0.085
-0.328
0.291
0.204

Maximum
Arithmetic
Mean
-0.160
-0.375
0.295
0.194
                                  13-27

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SUMMARY AND  CONCLUSIONS







     A possible  source  of  bias  in  the  benefits estimates reported in



this study relates to statistical problems associated with misspecifi-



cation of the economic models.   The particular issue addressed in this



section involves the extent to which omission of  potentially relevant



environmental variables in the models may lead to such a bias.  Under



the assumption that pollutants other  than TSP and S02 are relevant



explanatory variables in  the economic models, the relevance of the



bias issue is evaluated through  an  analysis of pairwise correlations.







     Such an analysis is limited in its usefulness.  Although a non-



zero correlation implies that some bias is introduced by omitting a



relevant variable, it is not possible to identify  either  the magnitude



or the direction  of  bias without additional information.  In particu-



lar,  knowledge  is required of  the  expected  sign  and magnitude of the



coefficient of  the excluded variable in the  (unestimated)  "true"



regression.  In most cases, it is possible to specify  the sign of the



coefficient  with  some  confidence so that the direction  of bias can be



identified  for  specific  assumptions  about the definition  of the



included and excluded variables.   As the analysis in this section



shows,  the  definition of the variables is a crucial  element that



cannot be overlooked.







     The key question  considered in this section  is:   Are the benefit



estimates developed in Volumes II  through IV  of the study biased
                                  13-28

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because only measures  of  TSP and SC>2 are considered in  the estimation

process?  With currently  available information,  it is not possible to

say with any confidence whether the bias will be positive or  negative,

large or small.   Any combination of these outcomes is  a possibility.

However, we have shown that in several instances it is not possible to

reject the null hypothesis that the correlations are  zero.  In such

cases, the possibility of bias introduced through the omission of a

relevant explanatory variable  is  reduced.


                            •
     Despite this negative  conclusion, there are several  positive

aspects to the analysis in this section.  First,  the analysis makes

apparent the sensitivity of the correlations  to assumptions  about the

implied temporal, spatial, and pollution measurement definitions  for a

given variable.  With respect  to  studies involving  environmental

variables,  this  result has not  always been explicity recognized.



     The second area where valuable information has been generated

relates to the size  of the correlation  coefficients reported in this

section.  The conventional wisdom is  that very high correlations  exist

between pollutant types so that  inclusion of  more than one  pollution

variable in a regression specification will likely result  in a high

degree of multicollinearity.*  If multicollinearity is present,  this
* Note that  a high level  of correlation  between two  explanatory
  variables  is  a sufficient  but not necessary condition  for the
  presence of a high degree of multicollinearity when the number of
  explanatory variables  in the  regression model  exceeds two.  See
  Kmenta  (3), p. 384.
                                  13-29

-------
can lead to inflated standard errors,  and hence,  overly conservative
tests of statistical  significance.

     In general,  the  correlations reported in this section tend to be
lower  than expected, with most being less than 0.50.  This  can be
contrasted with correlation estimates in the benefits literature of
0.7 to  0.8  between TSP  and  S02  [see,  for example, Crocker  (6)].
However,  extreme caution must be exercised  in making comparisons
across studies.  Again, the magnitude and sign of the correlations is
very sensitive  to the definition of the variables.  For example, Table
13-2 shows that the correlation between TSP and S02 is 0.521 (annual
arithmetic mean)  when computed  across sites in 1978.   This is close to
the values reported elsewhere in the literature.   On the other hand,
if the geographical unit is the county or the SMSA, the correlation
between TSP and S02  falls to 0.117  and  0.02, respectively.   Thus,  much
like the case of omitted variables,  multicollinearity may or may not
be a  serious statistical problem, depending on the units  of  the
variables included  in the specification.   This implies that emphasis
should be given to the identification of the most appropriate form of
the explanatory variables, with the choice based on a combination of
theoretical and empirical criteria.
                                  13-30

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REFERENCES
     U.S. Environmental Protection Agency.  Air Quality Criteria for
     Particulate Matter  and Sulfur Oxides  -  Volume III:   Welfare
     Effects.  Environmental Criteria  and Assessment  Office,  Research
     Triangle Park, North Carolina, 1981.
         v
     Theil,  H.   Principles  of  Econometrics.  John  Wiley and Sons,
     Inc., New York, 1971.

     Kmenta,  J.   Elements of Econometrics.  Macmillan Publishing Co.,
     Inc., New York, 1971.

     Neter,  J. and W. Wasserman.  Applied Linear Statistical Models.
     Richard D. Irwin, Inc.,  Homewood, Illinois, 1974.

     U.S. Environmental Protection Agency.  Preliminary Assessment of
     Health and Welfare Effects Associated with Nitrogen Oxides for
     Standard-Setting Purposes.   Revised Draft  Staff  Paper, Office of
     Air Quality  Planning and  Standards,  Research Triangle Park, NC,
     October 1981.

     Crocker,  T.  D.,  gt  al.  Methods  Development for Assessing Air
     Pollution Control  Benefits - Vol.  1:  Experiments in the
     Economics of Air Pollution Epidemiology.  Report  prepared for the
     U.S. Environmental Protection Agency,  University  of  Wyoming,
     February 1979.
                                  13-31

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              SECTION 14
SUMMARY OF MANUFACTURING SECTOR REVIEW

-------
                            SECTION 14




               SUMMARY OF MANUFACTURING SECTOR REVIEW
INTRODUCTION







     In July 1981, a public  meeting was held to review a draft version



of Volumes I through V of this  report.  Participants in the meeting



included a  panel of experts  in environmental  benefits analysis,



assembled to  critically review the  report.   In the  review of the



manufacturing  sector analysis in Volume III, the general conclusion  at



the meeting was  that the analysis was a careful and sophisticated



piece of research.  Specific positive and negative features of the



study were identified.   Section  12 contains a summary of the  comments



from the panel and audience.







     One suggestion of the review panel was that additional investiga-



tion of  one of the manufacturing  industries be undertaken.   The



industry of interest was SIC  344, the Fabricated Structural Metal



Products industry.  The draft analysis had suggested  that  production



costs  in that industry were adversely  affected by  high levels  of



ambient particulate matter (PM) concentrations.  The analysis also



suggested that reducing  PM concentrations could lead to significant
                                  14-1

-------
economic  benefits for this industry ($3.7 billion discounted present
value for  attainment of the TSP secondary standard).   The panel recom-
mended that further effort be made to  evaluate the plausibility of
this result.   Two  specific  tasks were undertaken in  response to this
suggestion.  These included  interviews with some plant managers in the
industry  and  re-evaluation of the draft analysis.   The results are
summarized in this section.

INFORMAL PLANT INTERVIEWS

     During the course of the  study reported in Section 7,, telephone
contact was made with a small number of  companies to see if additional
evidence  could be  obtained  concerning the  plausibility  of  the results
for SIC 344.   As summarized in Section 7  (see pp.  7-190  through 7-
192),  two metal fabricating companies and  one air  filtration system
manufacturer  were contacted.   They suggested several ways in which
dust or particles might affect metal  fabricating operations.  These
included  contamination of welding operations, power sources,  and
electronic equipment;  and contamination or corrosion of metal inven-
tories.  These were suggested  as possibilities,  but  no  specific docu-
mentation or  quantitative evidence  was obtained.

     Following  the public meeting,  a  small  number  of  additional
companies in SIC 344  were  contacted.  As with the  previous contacts,
the interviews were informal and unstructured.  However,   some of the
interviews were conducted in person,  as  well as  by telephone, and
                                  14-2

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three geographic areas were included  to provide some variation in
ambient  TSP concentrations.  The  three geographic  areas included
Denver,  Seattle,  and Philadelphia.  The ambient TSP concentrations in
these three areas and the other  areas included  in the draft  analysis
are identified in Table  14-1.

     There were originally three objectives  to  the additional  inter-
views.   These included:   1)  obtaining qualitative  evidence of  damage
and/or behavioral adjustments due to PM deposition; 2)  determining
whether plant managers perceived ambient PM  deposition as affecting
either their production processes or their  production costs;  and 3)
estimating the potential impact  of  PM deposition  on production  costs.
The third  objective proved very difficult to accomplish from  inter-
views and thus effort was focused primarily on the first two.

     Questions asked during the interviews sought to identify how
plants  in SIC 344  might  be affected by particulate matter.  A list of
possible  effects  compiled prior to the interviews  is provided in Table
14-2.   The first  column  in the  table  identifies some  of  the  possible
physical  effects which PM  may  have  on SIC  344 plants.  The second
column suggests some of  the  ways in which plant managers may respond
to the physical effects (in addition  to the option of not responding
in any  way).  The third  column identifies the economic consequences of
the different responses.   Questions  asked during  the interviews
attempted to determine whether any of the listed physical effects had
                                  14-3

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                             Table 14-1

           COUNTIES  USED IN THE DRAFT ANALYSIS FOR SIC 344
            State
      County
 TSP*
     Alabama
     California
     Colorado
     Connecticut
     Connecticut
     District of Columbia
     Georgia
     Illinois
     Louisiana
     Louisiana
     Maryland
     Maryland
     Massachusetts
     Massachusetts
     Massachusetts
     Massachusetts
     Michigan
     Minnesota
     New Jersey
     New Jersey
     New York
     New York
     New York
     New York
     New York
     Ohio
     Ohio
     Pennsylvania
     Pennsylvania
     Pennsylvania
     Pennsylvania
     Rhode Island
     Texas
     Texas
     Washington
     Wisconsin
Jefferson
San Francisco
Denver
Fairfield
New Haven

Fulton
Cook
E. Baton Rouge
Orleans
Baltimore (City)
Baltimore (County)
Bristol
Hampden
Middlesex
Worcester
Wayne
Hennepin
Bergen
Union
Bronx
Erie
Queens
Suffolk
Westchester
Hamilton
Stark
Allegheny
Berks
Lackawanna
Philadelphia
Providence
Dallas
Harris
King
Milwaukee
336.8
109.0
325.2
132.2
176.1
325.0
134.0
213.3
130.0
122.5
210
154
102
142.3
160.0
257.3
231.1
168.0
181.8
161.3
188.1
166.0
174.5
117.5
124.5
168.3
144.8
235.0
178.6
251.5
206.0
138.3
196
159
129
195.0
* Second highest 24-hour concentration in 1972,  average across all
  monitors in county.

Source:  See Section 2.
                                   14-4

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                                        Table 14-2

              POSSIBLE EFFECTS AND RESPONSES TO PAETICDLATE MATTER IN SIC 344
     Physical Effect
      Plant Response(s)
      Economic Effect  ($)
Contamination of welding
joints
Contamination of metal
inventories
Contamination of finished
ox semifinished products
Contamination of other
equipment (e.g., optical
or magnetic tape readers,
transformers, etc.)
Contamination of freshly
painted surfaces
Install dust control systems
                            Clean metal before welding
Store inventories in covered
or indoor areas

Maintain smaller inventories
Purchase coated metals

Clean metal before use

Store produce inventories in
covered or indoor areas

Maintain smaller inventories
Apply paints or coatings to
products

Increased maintenance
frequency
Use of closed or sealed
equipment

Install dust control systems
                            Utilize clean rooms
Cost of installing & maintaining
dust control equipment

Cost of installing & operating
metal cleaning equipment

Cost of storage facilities
Loss of quantity discounts on
purchased metal due to smaller
quantities purchased

Production bottlenecks

Higher metal cost

Cost of metal cleaning

Cost of storage facilities


Production bottlenecks

Loss of sales due to "out of
stock"

Cost of painting & coating


Higher maintenance cost
                                                           Higher equipment cost
Cost of installing & main-
taining dust control equipment

Cost of constructing & main-
taining clean rooms
                                             14-5

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occurred and what the plant responses had been.  As noted earlier,
data on economic factors proved more  elusive.

     Few of the plant managers perceived PM as producing the physical
effects listed in the first column of Table 14-2.   This  included no
reported PM effects  on welding operations or painting operations,  and
little or no physical effect on metal inventories.  One  plant indi-
cated its product  underwent a  final  cleaning  and finishing operation
to remove PM and other contaminants acquired during processing or
while in inventory.   However, it was not clear how much of the PM came
from ambient air  as opposed to internal plant sources.   One other
plant  indicated a prior problem with  dust and  soiling  caused by
ambient PM generated from a nearby highway.   This problem was eventu-
ally solved by  installing double-glazed, non-opening windows and addi-
tional  air filters.

     The minimal perception of  PM physical  effects by plant managers
raised  the question  of whether PM  effects could be perceived even if
present.   That  is, the draft analysis predicted PM would cause small
changes in cost and  thus PM effects may be present but not observed.
For example, the effects of temperature and moisture  may be larger
than those of PM.  Yet,  it was found that managers did  not respond
differently in cities with quite different levels of humidity and
temperature (i.e., Denver and Seattle).  One advantage of the econo-
metric  methods used in  the draft analysis is that they can capture
both perceived  and unperceived effects of PM in the  industry (see pp.
                                  14-6

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7-16 to 7-17).  The interviews are likely to reflect only perceived
effects.

     In addition  to  the problem  of  perception, there  is also the
possibility that prior adjustments  made to prevent contamination or
corrosion may already have  occurred.  These adjustments would reduce
the extent to  which PM effects might currently be observed.   For
example, several  of the plants indicated that they practiced one or
more of  the  activities listed in the second column of  Table 14-2.
These included  the use of  coatings  on exposed metal  surfaces, indoor
storage of metal  inventories, and surface cleaning before painting or
welding.  However, it was also indicated that these activities were
undertaken for a variety of reasons  (e.g., indoor inventory storage
for prevention  of  rust or vandalism).  The  activities were  not attri-
buted exclusively, or even primarily,  to ambient PM.

     On balance, the  overall results of  the interviews were inconclu-
sive.  There was little evidence found suggesting that PM  is perceived
as affecting plants in this industry.  There was little evidence of
actual effects.  At the  same time,  however,  there was an indication
that perception might be difficult  even  if effects are present.   And
some plants undertake various activities that may have been  an earlier
response to PM or that would at least reduce the extent to which PM
may currently have an  effect.
                                  14-7

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STATISTICAL REANALYSIS

     After the plant interviews proved inconclusive,  it was decided to
undertake further  analysis of the econometric model  for SIC 344.  The
analysis  included additional testing,  sensitivity analysis and data
evaluation.  The process identified two problems with the data for the
District of Columbia (DC).  First,  the data used for DC were found to
be an unintended mixture of data  for  DC and  for the DC SMSA.  When the
data were corrected,  the model was re-estimated and the results were
as reported in Section 7 of this report  (pp. 7-149 through 7-158).  A
comparison of  these results with those appearing in the July 1981
draft analysis report shows a decrease in the magnitude of the implied
effect of TSP.  However,  the estimated coefficients  for  TSP became
even more statistically significant.

     A second feature observed with the DC data is that the calculated
wage rate for DC was found to be 4.4  standard deviations from the mean
wage rate among all counties in the sample listed in Table 14-1.  As
discussed in Section 7  of this report, some of the problem may be due
to the limited number of significant digits used  by  the Census Bureau
in reporting the data.   In any case,  a test was made to see how this
particular observation  may have influenced the results.  The model was
therefore re-estimated  after excluding the DC data.  In this version,
the implied effect of  TSP was found to  increase but the TSP coeffi-
cients were not as statistically significant.
                                   14-8

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     The various  results from the statistical reanalysis are compared
in Table 14-3.  As can be seen,  the  implied effect  of  TSP varies  from
$247 to  $410 per microgram.   Both versions with the DC data  are
statistically significant at the 5 percent  level.  The  version without
the DC data is not as significant.  The implication of  these differ-
ences is that the model for SIC 344  is somewhat sensitive to sample
composition.   Thus, some caution is warranted in interpreting benefit
estimates  developed using the  econometric model  for this  industry.
For reasons  discussed in Section 7, benefit calculations for  this
industry in the  final  analysis  are based on the model estimated  with
the DC data excluded.
                             Table 14-3
                 COMPARISON OF RESULTS FOR SIC 344
     MTCTSP+  ($)
     Level  of
     Significance  (%)
                          Original
                          DC Data*
410
  3.8
             Dataset
            Corrected
            DC Data**
247
  0.8
             Without
             DC Data**
339
 10.6
 * As reported  in July 1981 Draft Analysis Report.
** As reported  in Section 7 of this report.
 + Dollar increase  in total  production cost  per  unit increase  in
   ambient TSP.
                                  14-9

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U.S.  Environmental  Protection Agency
Region V, L;'a;r"y
230  South LV^-.r^n  Sliest
Chicago, Iliinois  60604

-------