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                                   EPA-450/2-83-002
                                         March 1983
    Supplementary Guidelines  For
      Lead  Implementation Plans
Updated  Projections For Motor Vehicle
              Lead Emissions
                      By

                   Penny M. Carey
             U.S. Environmental Protection Agency
              Office of Air, Noise and Radiation
            Office of Air Quality Planning and Standards
           Research Triangle Park, North Carolina 27711
                      and
                 Office of Mobile Sources
                Ann Arbor, Michigan 48105

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This report has been reviewed by the Office of Air Quality
Planning and Standards, US EPA, and approved for publication.
Mention of trade names or commercial products is not intended
to constitute endorsement or recommendation for use.
                           IX

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INTRODUCTION








The following material serves as  an  update  to Revised Section



4.3,   (Projecting   Automotive    Lead   Emissions),   in   the



"Supplementary  Guidelines  for  Lead  Implementation  Plans,"



U.S.  EPA,  EPA-450/2-78-038,  Research  Triangle  Park,  North



Carolina,   August   1978.    This  document   provides  updated



projections for automotive lead emissions to  be  used by those



agencies developing State Implementation Plans for lead.








This  document  changes  the  basic  equation  for  projecting



automotive  lead emissions presented  in Revised  Section  4.3 of



the Supplementary  Guidelines.   The  equation  has  been revised



to  incorporate the  effect  of  the  new  EPA lead  phase-down



regulation, more  recent  on-road passenger car  and  light-duty



truck   fuel   economy   data,   an   estimate   of   increased



dieselization of  the  light  and heavy-duty  fleet, more  recent



projections of  the percent of  vehicles  from 1975  and  beyond



that require the use  of  nonleaded gasoline  and  the  effects of



misfueling  and  discretionary  fuel switching.   Also discussed



are   current    expectations   regarding   heavy-duty   vehicle



emission standards which affect use of leaded fuel.








The procedure  herein  should  be  used  to project  automotive



lead  emissions instead  of  the  procedure   given   in  Revised



Section 4.3 of the Supplementary Guidelines.

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Those agencies developing State  Implementation  Plans  for lead




should also note how  the  revision being made affects  the EPA



guideline,  "Development  of  an  Example  Control Strategy  for



Lead"    (EPA-450/2-79-002) .     Specifically    affected    are



equations 2.3  (p.  14),  2.4  and  2.5  (p.  15)  and  the  related




discussion,  which  are  based on  the previous procedure.   The




new procedure should be used in  lieu of that given on pp.  14




and 15 and  related  pages  of the  example control  strategy for



lead.








This document was prepared by the Office of  Mobile Sources  in



response  to  the  February  1983  request of  the  Office  of  Air



Quality  Planning  and Standards.   Further  revisions   will  be




made as needed as new information becomes available.








4.3 PROJECTING AUTOMOTIVE  LEAD EMISSIONS








Lead  emissions  from mobile  sources are  calculated  based  on




the percentage of  burned  lead exhausted at  different  speeds,




the  lead  content of gasoline,  vehicle fuel  economy   and  the




model year mix of  vehicles  on the road.  The lead content  of



gasoline and the model year  vehicle mix are  a function of the



calendar year of  interest.   Vehicle fuel economy  is  averaged



for all vehicles  of the  same model year.

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4.3.1 Lead Emissions from Automobiles






4.3.1.1  Individual  Roadways -  For  any given  year subsequent



to  1974, the  total  population  of  automobiles  on  the  road



consists  of  vehicles  using  either  leaded  or   "nonleaded"



(i.e.,  required  to  contain less  than 0.050  gram/gal,  lead)



gasoline  or  diesel fuel.   Diesel fuel is assumed to contain



quantities   of   lead  that  are   insignificant   compared  to



gasoline     fuel;     therefore,    only     emissions    from



gasoline-powered vehicles  are considered.   The  emission rate



from  automotive  sources  from  an  individual  roadway   (line



source)  is calculated by the following equation:
          a T
e
           s
 n,s      C
           s
                                      n    / m . F
Pb     (0.92)  + Pb    (0.08) (0.55)
  NL,n ^'J*>  '  f"L,n v"-—'^---'y   \   l  K  .
NL,i'
                                                      i=1975
                                                               c,i
             PbL,n(°'929) + PbNL,n(0-°71)       v


                                         /      L
                                     \Ec,i

                            i=n-19
                            PbNL,n(°-275)
                                               i=1975
                                                         Ec,i
                                                 (1)
where:
e         =     emission rate  for  calendar  year n and speed  s
 n, s

                (g/road mile-day);

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ag        =     fraction  of  lead  burned  that  is  exhausted;
                for  roadways  where  steady cruise  driving is
                indicated   (i.e.,    roadways    that  have   a
                relatively  constant  speed),  a   is available
                                               s
                from  Figure  4.3-1  (nondimensional; expressed
                as a percentage  in  Figure 4.3-1);  for roadway
                portions      subject      to      full-throttle
                acceleration   (0-60  mph)   use  a   =   10.0
                                                    o
                (i.e.,   1000%);  for   roadways  where  cyclic
                driving  is  indicated  (i.e.,  roadways  that do
                not  have steady speed)  use  a   = 0.75   (i.e.,
                                               S
                75%) ;


T         =     average  daily traffic  (vehicles/day);


C         =     speed-dependent    fuel    economy   correction
  o
                factor   based.  on   steady  cruise  or  cyclic
                driving;    available    from    Table     4.3-1
                 (nondimensional) ;
 PbNL n     =      lead   content  of   "nonleaded"   gasoline   in
                 calendar year n from Table 4.3-2  (g/gal);
 PbL n      =     average  lead  content of  leaded  gasoline  in
                 calendar year  n  from  Table 4.3-2  (g/gal);

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                fraction  of  annual  travel  by  model  year  i



                light-duty    vehicles    from    Table   4.3-3



                (nondimensional, expressed as a decimal);








                fraction  of   the  model  year  i  light-duty



                vehicle  fleet designed  for  use  on nonleaded



                gasoline  from  Table  4.3-4   (nondimensional,



                expressed as a decimal) ;
FT  .      =     fraction  of   the   model  year  i  light-duty
 Li i 1



                vehicle  fleet  designed  for  use  on  leaded




                gasoline  from  Table  4.3-4   (nondimensional,




                expressed as a decimal) ;
E   .      =     city/highway  combined  on-road  fuel  economy
 c r i


                for   model   year    i    from   Table   4.3-9



                (vehicle-road mile/gal.).
To    calculate    the    emission    rate     in    units    of



grams/meter-second,  e     can  be  corrected  by  dividing  by
                      n f s


1.39 x 108.
Referring  to  equation   (1) ,   the   three   terms  within  the



brackets give the grams  lead  emitted per  vehicle-road mile  (g



lead/vehicle-road mile)  for  calendar year  n.   The first term



within  the  brackets  gives   the   g  lead/vehicle-road  mile

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emitted by  light-duty catalyst-equipped vehicles  whereas the



second and  third  terms within the  brackets  collectively give



the g  lead/vehicle-road mile  emitted by non-catalyst-equipped



vehicles.    It should  be  noted that since 1975  a  small number



of non-catalyst-equipped vehicles  have  been  certified for use



on nonleaded  gasoline.   Since these vehicles  constitute such



a small percentage of  the  total  non-catalyst fleet, they will



not  be considered.   Instead,  it  will  be  assumed  that all



non-catalyst-equipped  vehicles  can  be  operated  on  leaded



gasoline.    Further  discussion of  selected  variables  used  in



the equation  follows.








Figure  4.3-2  compares   steady   cruise  fuel   economy  and



generalized  cyclic  driving  fuel  economy to   vehicle  speed.



Figure  4.3-2 was  generated  using  data from  1973,  1Q74 and



1975  model  year   vehicles.   Using  the cyclic driving  fuel



economy at  32.7 miles  per hour  as the basis  for comparison



 (since  this speed  is the  average  speed for  the  EPA combined



city/highway  fuel  economy),  fuel  economy correction factors



 (C )   for   both  steady  cruise  and  cyclic   driving  can  be
  o


calculated  at various  speeds.   These  calculations  have been



made  and  are  presented  in  Table  4.3-1.   Table  4.3-1 should be



used  to  interpolate  C  for those  speeds not  listed  in   Table
                      o



4.3-1.  The fuel economy correction factor for cyclic driving



should  be used for  roadways  that  do  not have  steady speed.



 (The  determination of  how  much  variation in  speed constitutes

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cyclic driving  is judgmental.   Questionable cases  should  be



analyzed both  ways.)   Likewise,  the fuel  economy  correction



factor for steady cruise driving  should  be  used if free-flow,



steady speed driving is indicated  (e.g.,  along  a  highway at a



relatively  constant   speed).    The   correction  factors  for



cyclic  and  steady  cruise   driving  become  similar  at  high



speeds   as  . the   number   of   stops,   accelerations   and



decelerations during cyclic driving decrease.







The  fraction of  annual  travel  by  model  year  i  light-duty



vehicles  (m.)   can  be  found  in  the  last column  of  Table



4.3-3.  Values  for  m.^  in Table  4.3-3 are  EPA's  estimates  of



the  national  values.   Local   values  should   be  used  where



available.   The  term,  "m.",  accounts  collectively  for  all



light-duty  vehicles  - those   using  leaded,   nonleaded,  and



diesel fuels  -  in a given  model year.   The  travel  weighting



fractions  were   taken  from  the  March   1981  EPA  Report,



"Compilation  of  Air   Pollutant  Emission   Factors:  Highway



Mobile Sources"  [EPA-460/3-81-005]  and may be  revised  in the



future.   It  should   be  noted   that  the   travel  weighting



fractions in Table 4.3-3 reflect  a  January  1 evaluation date,



in  contrast  to  the  July  1 evaluation  date  used  in  Revised



Section 4.3.








The  fractions  of the  model year  i  light-duty vehicle fleet



using  nonleaded   and   leaded   gasoline,  FMT  .   and   F   .,
                                             IN -U f 1         J_j f 1

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respectively,  are  given  in Table  4.3-4.   Values  for  FNL £


and  FL ^  account  for  the  increasing  dieselization  of  the



light-duty   vehicle   fleet.    Diesel-powered   vehicles   are


assumed  to emit  quantities of  lead  that  are  insignificant


compared   to   gasoline-powered  vehicles;   therefore,   sales


fractions  for  diesel-powered   vehicles  are  not  included.


Latest  sales  projections  for   diesel-powered   vehicles  were



made  by   EPA  based  on   data   obtained  from  Jack  Faucett



Associates,  "The  Impact  of  Light-Duty  Diesel  Particulate


Standards  on   the  Level  of   Diesel   Penetration  in  the


Light-Duty  Vehicle  and  Light-Duty  Truck   Markets"  (January


1983) ,   prepared   under  EPA  contract.   Estimates  of  the


percentages   of   gasoline   vehicles   requiring   leaded  and


nonleaded  fuel were  obtained  from  Energy  and  Environmental


Analysis,  Inc.,   "Documentation  for  the  New  Highway  Fuel


Consumption Model" (January 1982) .






The   term,   "miFNL  j"   in  equation.   (1) ,    then,    is   the


fraction of  annual travel  by model  year  i light-duty vehicles


designed   for  use on  nonleaded gasoline;   "m.  F  ."  is  the
                                               i L, i

fraction of  annual travel  by model  year  i light-duty vehicles


designed for use on leaded gasoline.






An    eight (8)   percent   misfueling    rate    for    nonleaded


gasoline-powered   vehicles  was   incorporated  into   equation


 (1) .   Misfueling  is  defined as  the use  of leaded  gasoline in


vehicles  certified for the  use  of nonleaded  gasoline.   This

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misfueling  rate  was  used   in   the  March  1981  EPA  Report,



"Compilation  of  Air  Pollutant  Emission  Factors:   Highway



Mobile Sources"  fEPA-460/3-81-005]  and may be  revised in the



future.   The  first  term in  equation   (1)  accounts  for  this



eight(8)  percent  of  nonleaded gasoline-powered vehicles which



use  leaded  fuel even  though use of  nonleaded fuel  in  these



vehicles  is  required  to prevent  poisoning  of  the  catalyst



and/or  other   effects   of   lead  (e.g.,   combustion  chamber



deposits,  EGR  deterioration)  that  result  in  these  vehicles



not  meeting  the emission standards.   An  additional fraction,



0.55,  is  also  included  in  the   first  term.   This  is  an



estimate  of  the  fraction of  lead  burned  that  is exhausted



from  the  catalyst of a  misfueled,  catalyst-equipped vehicle.



This   estimate   was  obtained   from   Schneider,   Eric,   W. ,



"Detection  of   Leaded-Gasoline  Usage  in  Catalyst-Equipped



Vehicles:   A   Gamma-Ray  Transmission  Gauge   for   Measuring



Catalytic  Converter  Lead  Contamination",  APCA  Journal,  Vol.



32,  No.  5,  May  1982.    It should  be   considered  a  correction



factor  to  a   for   catalyst-equipped  vehicles   using  leaded
             o


fuel.







In addition to  misfueling rates, discretionary fuel switching



rates  for  leaded gasoline-powered  vehicles  were incorporated



into  equation (1) .   Discretionary  fuel  switching  is  the use



of nonleaded  gasoline  in vehicles  which normally  operate on



leaded  fuel.    The  discretionary  fuel  switching  rates  were



obtained  from   Energy   and   Environmental   Analysis,   Inc.,

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                              10




"Assessment  of  Current   and  Projected  Future   Trends  in




Light-Duty  Vehicle  Fuel  Switching"   (June   1982)   and  are




applicable to automobiles  and light-duty trucks with  a gross



vehicle   weight   rating   of  less   than   10,000   pounds.




Discretionary fuel  switching  rates  for  pre-1975  model  year



vehicles designed for use  on leaded fuel average  7.1 percent



while  rates  for   post-1974  model  year   vehicles  average



27.5 percent.  The effect of  discretionary  fuel switching for




pre-1975 and  post-1974  model year  vehicles  designed  for use



on  leaded  fuel  has  been  incorporated  into  the  second  and



third terms,  respectively,  in equation (1).








The  city/highway  combined  on-road  fuel  economies,  E   .,  for
                                                      c, i



model  years  1970  to  1988  are  given in  Table  4.3-9.   These



fuel  economies  were  obtained from  Energy  and  Environmental



Analysis,  Inc.,  "The  Highway Fuel Consumption  Model - Eighth



Quarterly  Report"  (July  1982).    EPA  fuel  economies  were




discounted  to  on-road  estimates  by  EEA  with  the  use  of




technology-specific shortfall relations.








4.3.1.2  Area  Source Automotive Emissions  -  Equation  (1)  can



be  modified   to calculate  automotive  emissions  as  an  area



source  rather  than as  specific  line  sources.  The emission



rate   from   automotive   sources  from   an   area   source  is



calculated by the following equation:

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 n,s
                              11
V_

C
               Pb
 (0.92) (0.75) + PbT    (0.08) (0.30)
n                 LI , n
\   n
')  I
                                                                miFNL,i
                                                        i=1975
          PbT   (0.929) (0.75)  +Pb1v7T   (0.071) (0.75) 1  1974  /m.F,
            •i-i, n                   WL, n
                                                      I
       + (Pb    (0.725) (0.75)  +  PK    (0 . 275) (0 . 75)
         \  L,n                   NL,n             i
                                                    i=n-19
                                                      n
                                                    i=1975
                                                             c.i
                                                   m.FT  .N
                                                     i L, i
In equation  (2), the term  "T"  was replaced  by  the term  "V",



the vehicle miles  traveled  in the area on a daily, monthly  or



greater  time  basis.   When VMT  data  are used,  the  emission



rate, e    , will be expressed in  grams per day, month,  etc.
       n / s
                                                            (2)
The computation  of  area  emissions precludes the use of  Figure



4.3-1   for  determining   the   percentage   of   burned   lead



exhausted,  a  .   Figure 4.3-1  is based primarily  on tests  of
             s


lead emissions  from vehicles operating at  steady speeds  over



short  test  periods.   A  value   for  a    of   0.75   (i.e,   75
                                        o


percent of the  lead burned  is  exhausted)   should  be used  for



non-catalyst-equipped, gasoline-powered  vehicles operating  on




leaded fuel  when calculating automotive emissions  as an  area




source rather than  as  specific  line  sources.   The  0.75 value




is  based   on  tests  which  measured  exhaust  emissions under



cyclic  driving  conditions.   For  gasoline-powered vehicles

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                              12

with catalysts  which are  misfueled,  a value  for a   of 0.30

should be  used.   The 0.30  value accounts  for  lead  retention

by the catalyst, the oil,  the  combustion  chamber  and the rest

of the  exhaust  system*.   The  appropriate values  for  a  have
                                                        S

been included within the brackets in equation (2)  .



Finally, the  speed  dependent fuel  economy  correction  factor,

C  .,  can  be determined  by  either of  two approaches.   One
 s, i
approach  is  to  base C  .   on  the  average  vehicle  speed for
                       s, i

the  area  of  concern.  The  average  area  vehicle  speed should

be a weighted average  based on average  speeds  and  VMT data

for  the  various  roadway   classifications,  such  as   limited

access  (greater  than 50  mph) ,  suburban  roads   (35  mph)  and

urban  streets (25  mph  or   less) .   The other  approach  is  to

determine   C_ •   and   area   emissions  for   each    roadway
             b , 1
classification (and  average  speed)  separately,  and then total

them.  The latter approach   is considered more accurate.
*For  gasoline-powered  vehicles   with   catalysts  which  are
misfueled,  45  percent  of  the  lead  burned is  retained  by the
catalyst and 25 percent of  the lead  burned  is retained by the
oil,  the  combustion  chamber  and  the   rest   of   the  exhaust
system;  therefore  30 percent  of the lead burned  is exhausted
(1.00-0.45-0.25 = 0.30).

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                              13

4.3.2 Lead Emissions from Other Gasoline-Powered Vehicles



In  addition  to  light-duty  gasoline-powered vehicles,  other

vehicles   to   consider   include   motorcycles,   light-duty

gasoline-powered   trucks   and  heavy-duty   gasoline-powered

trucks.



Motorcycles  are  assumed to  emit  quantities  of  lead  that  are

insignificant compared to other gasoline-powered vehicles.



Light-duty  gasoline-powered  trucks  have  been  separated  into

two categories.   Light-duty  gasoline-powered trucks  I  have  a

gross  vehicle weight  (GVW)  rating  of 6000  pounds  or  less.

Light-duty  gasoline-powered  trucks  II have  a  GVW  rating  of

6001 to  8500 pounds.   The emission  rates  for each light-duty

truck category are calculated  using  the same equations  as  for

automobiles.   The only  revision  is  that  the  starting  point

for calculating emissions  from nonleaded  light-duty trucks  II

is  1979  rather than 1975.   Values  for the  variables  used  in

the equations are given in the following tables/figures:
Variable                      LPT 1             LPT2

as                            Figure 4.3-1      Figure 4.3-1
Cs                            Table 4.3-1       Table 4.3-1
PbNL n; PbL n                 Table 4.3-2       Table 4.3-2
mi  '       '                  Table 4.3-5       Table 4.3-7
FNL i? FL i                   Table 4.3-6       Table 4.3-8
Er ,-     '                    Table 4.3-9       Table 4.3-9
 c, i

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                              14



Values   for   a    and  C    are   the   same   as   those
               s         s


automobiles.    In   contrast,  values   for  m.,   F^_  .   F   .
                                              l     NL, i    L/i


and  E  .   are  different  from  those  used  for  automobiles.
      c, i


Values for m.  in the last  columns  of  Tables 4.3-5  and  4.3-7



are  national  values  compiled  by  EPA  in  the  March  1981  EPA



Report,  "Compilation  of   Air   Pollutant   Emission  Factors:



Highway Mobile Sources"  [EPA-460/3-81-005]  and  may be revised



in  the  future.   Local  values  for m.^  are  preferable  when



available.
Heavy-duty gasoline-powered trucks are assumed  to burn leaded



gasoline until  1988.   It  is  assumed  that  emission  standards



effective in 1988 will result  in  the  use  of nonleaded fuel in



all  heavy-duty  gasoline-powered   trucks.   Also,  their  fuel



economy for  any  calendar year is  assumed  to  be  equal  to 5.0



miles/gal.    Therefore,  the   emission   rate   for  heavy-duty



gasoline-powered trucks  prior  to  1988 is  calculated  by using



the following modification of equation (1):
                   •= rn pu

         en s    =  s    L*n           (n <=  1988)

          n'S        5.0
where  T  is  the  average  daily  traffic   (heavy-duty  gasoline


trucks/day).

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                              15


For  1988  and beyond,  the  following modification  of equation

(3) should he used:
                        1987                n

en,s = 170     PbL,n     V1   mi + PbNL,n   V"   mi

                        i=n-19            i=1988
                                                     (n2 1988)
                                                              (4)
Values  for  the variables  used in  equations  (3) and  (4)  are

given in the following tables/figures:




Variable                        HDGT

as                              Figure 4.3-1
Cs                              Table 4.3-1
PbNL,n; pbL,n                   Table 4.3-2
mj_                              Table 4.3-10



The  effect  of  discretionary  fuel  switching   has  not  been

incorporated in equations  (3)  and  (4)  due to  the lack of data

on the current fuel  purchase  behavior of  owners of heavy-duty

vehicles.   Similarly,  the effect  of  misfueling has  not been

incorporated  in  equation  (4)  since  this  would  apply  to

heavy-duty  vehicles  not  currently  in production  for  which no

data exist.  As new  estimates for  heavy-duty  fuel economy and

new emission  standards scenarios  become  available,  equations

(3)  and  (4)  will be revised  accordingly.  Values for  ITK  may

also be revised as new estimates become available.

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                              16




Fleet sales  fractions  for heavy-duty  gasoline-powered trucks



I  and  II,  projected  to  1995,  are  given  in  Table  4.3-11.




Keavy-duty  gasoline-powered   trucks  I  have  a  gross  vehicle



weight  (GVW)  rating of  8,501 to  26,000  pounds.   Heavy-duty



gasoline-powered  trucks  II  have a  GVW  rating greater  than



26,000 pounds.  The fleet sales  fractions  are decreasing with




model year,  reflecting  the   increasing  dieselization  of  the



heavy-duty fleet.   These  estimated  fleet  sales  fractions  can



be  used   when   projecting   T,  the   average  daily  traffic




 (heavy-duty gasoline trucks/day), for future years.








Equations  (3) and  (4)  can be modified  to  calculate emissions




as an area  source  rather  than as specific  line  sources.   The



term  "T"  should  be replaced  by the  term  "V",   the  vehicle



miles traveled  by  heavy-duty  gasoline-powered  trucxs  in  the



area on  a daily,  monthly  or greater  time basis.    The  fleet



sales  fractions  in Table 4.3-11  can  be  similarly  used  to



project area  VMT  for  future   years.  When  VMT data  are  used,




the  emission rate, e    ,  will  be  expressed  in  grams  per
                      n / s


day,  month,   etc.   Also,  a   , the   fraction  of  burned  lead
                            S


exhausted, should be 0.75.








4.3.3 Example Calculation of  Automobile Lead Emissions








Problem:   For   a   roadway  where  steady   cruise   driving   is



indicated with  a speed of 20  miles per  hour and average daily

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                              17

traffic of  28,000  vehicles, calculate  the  lead emission rate

for the year 1988.



Solution: Use Equation  (1):
e88,20
           a20T
PbNL,88(CK92)  + PbL,88(0-08)(°-55)
                                              l NL,i
                                                              \  c,l
                                                        i=1975
                ^PbL,88(0-929) + PbNL,88<°-071y     £   ( W~

                                                  i=1969
                /                              \    1988   /m,F   .-

                PbL,88(°-725) + PbNL,88(0-275)              ~~
                                              /      i—i    \ C , 1
                                                   i=1975


From   Figure  4.3-1,   for  a   cruise   speed   of   20  mph,

approximately  15.25  percent  of  the   lead   being  burned  is

emitted.  Therefore, a2Q = 0.153.



The   average   daily   traffic,   T,   is   given   as    28,000

vehicles/day.  From  Table  4.3-1, since  steady  cruise  driving

is  indicated,  the  speed-dependent  fuel economy  correction

factor for a speed of 20 mph, C2Q =  1.153.



From Table 4.3-2,  the  lead content  of leaded gasoline  in  1988

is 1.1 grams/gal., and  the lead  content of nonleaded  gasoline

is 0.014 gram/gal.

-------
                              18



The summations,
1988  /   T?    x     1974   /   TT                1988     m TP

      /miFNL,iV    ^   (  i L't\    and      y     / miFL,i


      \c,i   /     L^   \c,i/             ^—'     \c,i

i=1975            i=1969                     i=1975
for   vehicles   burning    nonleaded   and   leaded   gasoline,



respectively, must now be calculated.   First,  the fraction of



annual  travel,   m.,  for  each  model year  is  determined  by



setting the fraction for 1 year old  vehicles  (Table 4.3-3)  at



the  calendar  year,  n,  for  which  lead  emissions  are  being



estimated.  For  this example,  n  =  1Q88,  therefore,  miqo
-------
1988     /miFNL,i
i=1975
1974
 I
i=1969
and,
1988
i=1975
 ;88,20
                              19
                          =  0.0381/vehicle-road  miles/gal.
           miFL,i
           Ec,i  .
   0.0022/vehicle-road miles/gal,
                          = 0.0012/vehicle-road miles/gal
           E   .
           Substituting  the  above  results  into Equation  (1) ,
           we obtain:
             0.153x28xl0  vehicles/day
             1 ™" "       •— ^— ^         ____-*•    2\
                      1.153

               ( (0.014g/gal xO. 92+1. Ig/galxO. 08x0. 55) x 0.0381
                                                        veh-road mi/gal
             + (  (l.lg/gal x 0.929+0.014g/galxO.071)  x  0.0022
                                                       veh-road mi/gal
             + (  (l.lg/gal x 0.0725+0.014g/galxO.275) x  0.0012
                                                       veh-road mi/gal
              17.39 g/road-mile-day
In units of g/m-sec/ this becomes:
:88,20
              17.39
           1.39 x 10!
= 1.25 x 10~  g/mi-sec

-------
Q
H
e-i
CO
a
<
a
x
Q
W
03

fa
o

w
a
u
«
H
                                  20


                               Figure 4.3-1


                PERCENTAGE OF BURNED LEAD  EXHAUSTED


                                 vs.


                        VEHICLE  CRUISE  SPEED
        TTT
50
      MO
      10
      0
  iH
                   ,IM
                    111
                             Tl
                             n
                                  tt
                                     !>r
                                    r i
                                         I !
                                        fi
                                         ~Z_
                                       ^
                                               r X
                                            f
                                                   £c
              i i
                                                       4-
                                                        Tl
                 10
                      20
30
MO
               VEHICLE CRUISE  SPEED (MILES PER HOUR)

-------
                              21


                           Figure 4.3-2
                                      ;
               FUEL ECONOMY AT VARIOUS SPEEDS*
                          SPEED,  MPH
* Passenger  Car Fuel Economy:  EPA and  Road,  September 1980,
[EPA-460/3-80-010].

-------
                              22

                         Table 4.3-1

    FUEL ECONOMY CORRECTION FACTORS AT VARIOUS SPEEDS, Cs
        (Normalized  to  32.7 miles/hour-cyclic  driving)
                        Cs                    cs
Speed (mph)        Cyclic Driving         Steady Cruise

     5                 0.323                  0.467
    10                 0.553                  0.709
    15                 0.692                  0.997
    20                 0.790                  1.153
    25                 0.885                  1.248
    30                 0.963                  1.294
    32.7               1.000                  1.303
    35                 1.022                  1.303
    40                 1.053                  1.288
    45                 1.073                  1.256
    50                 1.078                  1.210
    55                 1.063                  1.159
    60                 1.023                  1.104

-------
                              23

                         Table 4.3-2

                   LEAD  CONTENT OF GASOLINE
                     Leaded Gasoline*       Nonleaded Gasoline
Year                      (g/gal)                  (g/gal)	

1974                      1.79
1975                      1.82                    0.014
1976                      2.02                    0.014
1977                      2.03                    0.014
1978                      1.94                    0.014
1979                      1.85                    0.014
1980                      1.38                    0.014
1981                      1.15                    0.014
1982                      1.24                    0.014
1983                      1.14                    0.014
1984                      1.1                     0.014
1985                      1.1                     0.014
1986                      1.1                     0.014
1987                      1.1                     0.014
1988                      1.1                     0.014
1989                      1.1                     0.014
1990                      1.1                     0.014
*1974-1982: Lead content  based  upon data submitted  to  EPA on
historical sales data for  leaded  gasoline and  data indicating
the  actual  pooled  average  lead  content.   The  value  for
nonleaded gasoline is based on recent MVMA fuel surveys.

1983-1990: Lead  content  based  upon requirements  for  average
lead content  of leaded  gasoline.  During  the  first half of
1983, small refineries  were  subject to a pooled  average lead
standard.

-------
                              24

                         Table 4.3-3

             TRAVEL  WEIGHTING  FACTOR CALCULATION*

                     Light-Duty Vehicles
Vehicle
  Age
    (a)

   Annual
  Fraction
   Total
Registration
                            (b)
  Mileage
Accumulation
    Rate
        [(a) (b)/(SUM]
         Fraction of
          Annual LDV
          Travel by
(a) (b)   Model Year
m-
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20 +
0.024
0.101
0.092
0.071
0.092
0.103
0.089
0.071
0.066
0.059
0.048
0.035
0.030
0.023
0. 015
0.010
0.005
0.003
0.002
0.015
14400
14275
13775
13250
12675
12175
11650
11075
10575
10050
9475
8975
8450
7875
7375
6850
6275
5775
5275
4750
345.6
1441.8
1267.3
940.8
1166.1
1254.0
1036.9
786.3
697.9
5^2.9
454.8
314.1
253.5
181.1
110.6
68.5
31.4
17.3
10.6
71.3
0.031
0.131
0.115
0.085
0.106
0.114
0.094
0.071
0.063
0.054
0.041
0.028
0.023
0.016
0.010
0.006
0.003
0.002
0.001
0.006
                            SUM:
                           11042.8
*Compilation  of  Air  Pollutant  Emission  Factors:   Highway
Mobile  Sources,  March  1981,   [EPA-460/3-81-005].   The travel
weighting fractions reflect a Januarv 1 evaluation date.

-------
                              25

                         Table 4.3-4

                    FLEET SALES FRACTIONS

             Light-Duty Gasoline-Powered  Vehicles
Model
Years


Pre-1975
1975
1976
1977
1978
1979
1980
1981
1982
1983
1984
1985
1986
1987
1988

WHERE:
        Nonleaded Gasoline
           Fraction of
        LDV Fleet,
              0.000
              0.873
              0.868
              0.843
              0.844
              0.867
              0.950
              0.939
              0.954
              0.947
              0.940
              0.934
              0.927
              0.920
              0.910
Leaded Gasoline
  Fraction of
LDV Fleet, F_ .*
	L, 1

     1.000
     0.127
     0.132
     0.157
     0.126
     0.093
     0.000
     0.000
     0.000
     0.000
     0.000
     0.000
     0.000
     0.000
     0.000
FL,i
Estimated  fraction  of  the  LDV  model year  fleet
which use nonleaded gasoline.

Estimated  fraction  of  the  LDV  model year  fleet
which use leaded gasoline.
*Diesel and gasoline  sales  projections  were  made by EPA based
on data obtained  from Jack  Faucett Associates,  "The Impact of
Light-Duty  Diesel  Particulate  Standards  on  the  Level  of
Diesel  Penetration  in  the  Light-Duty  Vehicle  and Light-Duty
Truck Markets", January 1983.

Percentages   of  gasoline   vehicles   requiring   leaded  and
nonleaded   fuel  obtained   from  Energy   and   Environmental
Analysis,  Inc.   "Documentation   for  the   New  Highway  Fuel
Consumption Model", January 1982.

-------
                              26

                         Table  4.3-5

             TRAVEL WEIGHTING FACTOR CALCULATION*

                    Light-Duty  Trucks  I**
Vehicle
  Age

 1
 2
 3
 4
 5
 6
 1
 8
 9
10
11
12
13
14
15
16
17
18
19
20 +
    (a)

  Fraction
   Total
Registration
   0,
   0.
   0,
   0.
   0,
   0.
   0,
   0,
   0,
   0.
   0,
   0.
   0,
   0,
   0,
   0.
   0.
   0.
   0.
   0.
032
094
085
061
091
099
076
060
044
048
046
033
035
033
026
021
015
Oil
010
013
    (b)
  Annual
  Mileage
Accumulation
    Rate

   15600
   15200
   13625
   12175
   10925
    9925
    9200
    8450
    7875
    7375
    6900
    6500
    6125
    5800
    5425
    5150
    4925
    4625
    4400
    4400
(a) (b)

 499.2
1428.8
1158.1
 742.7
 994.2
 982.6
 699.2
 507.0
 346.5
 354.0
 317.4
 214.5
 214.4
 191.4
 141.1
 108.2
  73.9
  50.9
  44.0
  57.2
 [ (a) (b)/(SUM) ]
 Fraction of
 Annual LDT1
 Travel by
Model Year, m-j

   0.055
   0.157
   0.127
   0.081
   0.109
   0.108
   0.077
   0.056
   0.038
   0.039
   0.035
   0.024
   0.023
   0.021
   0. 015
   0.012
   0.008
   0.006
   0.005
   0.006
                                SUM:  9125.3
*Compilation  of  Air  Pollutant  Emission  Factors:   Highway
Mobile  Sources,  March  1981,   [EPA-460/3-81-005].   The travel
weighting fractions reflect a January 1 evaluation date.

**Light-duty  trucks  I  have   a  gross  vehicle  weight   (GVW)
rating of 6000 pounds or less.

-------
                              27

                         Table  4.3-6

                    FLEET SALES FRACTIONS

             Light-Duty Gasoline-Powered Trucks I
Model
Years
Pre-1975
1975
1976
1977
1978
1979
1980
1981
1982
1983
1984
1985
1986
1987
1988

WHERE:
                   Nonleaded Gasoline
                       Fraction of
                   LDT1 Fleet,  F^.*

                         0.000
                         0.812
                         0.912
                         0.^62
                         0.968
                         0.957
                         0.956
                         0.968
                         0.958
                         0.947
                         0.931
                         0.915
                         0.905
                         0.889
                         0.873
Leaded Gasoline
  Fraction of
LDTlFleet, F_ .*
	J-y/ 1

     1.000
     0.188
     0.088
     0.038
     0.027
     0.032
     0.023
     0.000
     0.000
     0.000
     0.000
     0.000
     0.000
     0.000
     0.000
FL,i
           Estimated fraction  of  the  LDT1  model  year  fleet
           which use nonleaded gasoline.

           Estimated fraction  of  the  LDT1  model  year  fleet
           which use leaded gasoline.
 *Diesel and  gasoline  sales projections were made by EPA  based
 on data obtained  from Jack Faucett Associates,  "The Impact  of
 Light-Duty   Diesel  Particulate   Standards   on  the  Level   of
 Diesel  Penetration in  the Light-Duty  Vehicle and  Light-Duty
 Truck Markets", January  1983.
Percentages  of   gasoline   vehicles   requiring
nonleaded   fuel   obtained   from   Energy   and
Analysis,   Inc.   "Documentation   for   the   New
Consumption Model", January 1982.
                                                   leaded   and
                                                  Environmental
                                                  Highway   Fuel

-------
                              28

                         Table  4.3-7

             TRAVEL  WEIGHTING FACTOR CALCULATION*

                    Light-Duty Trucks II**
Vehicle
  Age
    (a)

  Fraction
   Total
Registration
    (b)
  Annual
  Mileage
Accumulation
    Rate
 (a) (b)
[(a) (b)/(SUM)]
 Fraction of
 Annual LDT2
 Travel by
Model Year, m-j
 1
 2
 3
 4
 5
 6
 7
 8
 9
10
11
12
13
14
15
16
17
18
19
20 +
   0.082
   0.207
   0.155
   0.097
   0.057 '
   0.056
   0.039
   0.030
   0.023
   0.020
   0.017
   0.011
   0.010
   0.008
   0.005
   0.006
   0.004
   0.003
   0.003
   0.004
   15800
   15400
   13-800
   12300
   11125
   10100
    9300
    8550
    7975
    7475
    6975
    6525
    6225
    5875
    5425
    5175
    5000
    4625
    4400
    4400

      SUM:
 1295.6
 3187.8
 2139.0
 1193
  634
  565
  362
  256
  183
  149
  118
   71
   62
   47.0
   27.1
   31.1
   20.0
   13.9
   13.2
   17.6

10389.9
   0
   0,
   0
   0,
   0,
   0,
   0.
   0,
   0,
   0,
   0,
   0,
   0,
   0.
   0,
   0,
   0,
   0.
   0,
   0,
125
307
206
115
061
054
035
025
018
014
Oil
007
006
005
003
003
002
001
001
002
*Compilation  of  Air  Pollutant  Emission  Factors:   Highway
Mobile  Sources,  March  1981,   [EPA-460/3-81-005].   The  travel
weighting fractions reflect a January 1 evaluation date.

**Light-duty  trucks  II  have  a  gross  vehicle  weight   (GVW)
rating of 6001 to 8500 pounds.

-------
                              29

                         Table  4.3-8

                    FLEET SALES FRACTIONS

            Light-Duty Gasoline-Powered Trucks II
Model
Years
Pre-1975
1975
1976
1977
1978
1979
1980
1981
1982
1983
1984
1985
1986
1987
1988
     Nonleaded Gasoline
        Fraction of
     LDT2 Fleet, FNL  ..*


           0.000
           0.000
           0.000
           0.000
           0.000
           0.975
           0.950
           0.925
           0.901
           0.876
           0.838
           0.801
           0.776
           0.739
           0.702
Leaded Gasoline
  Fraction of
LDT2 Fleet, FT .*
	j-if i

      1.000
      1.000
      1.000
      1.000
      0.988
      0.000
      0.000
      0.000
      0.000
      0.000
      0.000
      0.000
      0.000
      0.000
      0.000
WHERE:


FNL,i


FL,i
Estimated  fraction of  the LDT2  model  year  fleet
which use nonleaded gasoline.

Estimated  fraction of  the LDT2  model  year  fleet
which use leaded gasoline.
*Diesel and gasoline  sales  projections  were  made by EPA based
on data obtained from Jack  Faucett Associates,  "The Impact of
Light-Duty  Diesel  Particulate  Standards  on   the  Level  of
Diesel Penetration  in the  Light-Duty  Vehicle  and Light-Duty
Truck Markets", January 1983.

Percentages   of   gasoline   vehicles   requiring   leaded  and
nonleaded   fuel   obtained   from  Energy   and   Environmental
Analysis,  Inc.,   "Documentation   for   the  New  Highway  Fuel
Consumption Model", January 1982.

-------
                              30

                         Table 4.3-9

         CITY/HIGHWAY COMBINED ON-ROAD FUEL ECONOMY*
                        (miles/gallon)
         Model Year

         Pre-1970
         1970
         1971
         1972
         1973
         1974
         1975
         1976
         1977
         1978
         1979
         1980
         1981
         1982
         1983
         1984
         1985
         1986
         1987
         1988
     Fuel Economy, En f j_

LDV         LDT1      LDT2
13.9
13.9
13.2
13.1
12.9
12.6
13.9
14.9
15.6
16.7
18.5
19-6
21.8
23.3
24.6
26.0
27.4
28.8
30.2
31.6
10.6
10.6
10.4
10.2
 9-9
 9.6
12.0
12.6
13.8
14.3
15.2
16.3
18.1
18.4
18.9
19.5
20.2
21.1
22.0
22.9
 7.9
 7.9
 7.7
 7.4
 7.0
 6.9
 8.8
 9.7
 9.4
 9.6
 9.8
11.5
13.3
13.8
14.3
14.9
15.4
16.0
16.6
17.2
*Fuel economies  for  model  years 1980-1988  were  obtaine'd from
Energy  and  Environmental  Analysis,  Inc.,  "The   Highway Fuel
Consumption  Model  -  Eighth   Quarterly   Report"  (U.S.  DOE
Contract  Number  DE-AC01-79PE-70032,   Task  No.   13,  July  1,
1982) .   Fuel   economies   for   model  years   1970-1979  were
obtained from Robert Dulla, EEA.

-------
                              31

                         Table 4.3-10

             TRAVEL WEIGHTING FACTOR CALCULATION*

              Heavy-Duty Gasoline-Powered Trucks
              (a)
           Fraction
Vehicle
Age
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20 +
Total
Registration
0.0
0.114
0.097
0.073
0.086
0.088
0.070
0.053
0.041
0.044
0.040
0.031
0.030
0.026
0.021
0.018
0.013
0.009
0.008
0.010
    (b)
  Annual
  Mileage
Accumulation
    Rate
                              SUM:
                                        (a) (b)
              11805.5
 [(a) (b)/(SUM)]
 Fraction of
 Annual HDGT
 Travel by
Model Year, m-j
0
21000
18900
17200
15500
14100
12600
11300
10300
9400
8600
8000
7300
6700
6300
5900
5500
5200
5000
5000
0.0
2394.0
1833.3
1255.6
1333.0
1240.8
882.0
598.9
422.3
413.6
344.0
248.0
219.0
174.2
132.3
106.2
71.5
46.8
40.0
50.0
0.000
0.203
0.155
0.106
0.113
0.105
0.075
0.051
0.036
0.035
0.029
0.021
0.019
0.015
0.011
0.009
0.006
0.004
0.003
0.004
*Compilation  of  Air  Pollutant  Emission  Factors:   Highway
Mobile  Sources,  March  1981,   [EPA-460/3-81-005] .   The  travel
weighting fractions reflect a January  1 evaluation date.

**Heavy-duty  trucks  have a gross vehicle  weight (GVW)  rating
greater than  8,501 pounds.

-------
                              32

                         Table 4.3-11

                    FLEET SALES FRACTIONS
         Heavy-Duty  Gasoline-Powered Trucks  I  and  II*
Model                  Gasoline              Gasoline
Years                 Fraction of           Fraction of
                      HDT1 Fleet**          HDT2 Fleet**
Pre-1977                 0.982                 0.136
1977                     0.970                 0.108
1978                     0.968                 0.111
1979                     0.959                 0.101
1980                     0.950                 0.092
1981                     0.910                 0.082
1982                     0.870                 0.072
1983                     0.813                 0.063
1984                     0.755                 0.053
1985                     0.698                 0.043
1986                     0.681                 0.040
1987                     0.665                 0.038
1988                     0.648                 0.035
1989                     0.632                 0.033
1990                     0.615                 0.030
1991                     0.598                 0.027
1992                     0.582                 0.025
1993                     0.565                 0.022
1994                     0.549                 0.020
1995                     0.532                 0.017
 *Heavy-duty  trucks  I  have  a  gross vehicle weight  (GVW)  rating
 of  8,501  to  26,000  pounds.   Heavy-duty trucks II have a gross
 vehicle weight  (GVW)  rating greater than  26,000  pounds.

 **The  estimated  fractions  of the  HDT1  and  HDT2  model year
 fleets which are  gasoline-powered are based on  Data  Resources
 Inc.  sales  projections  for  heavy-duty diesel  vehicles, U.S.
 Long Term  Review, Summer 1982.

-------
      33

          Table 4.3-12

      EXAMPLE CALCULATIONS

Light-Duty Gasoline Vehicle Lead
 Emission  Rate  for  the Year  1988
                 (1975-1988) (1969-1974)   (1975-1988)
Model
Year
1988
1987
1986
1985
1984
1983
1982
1981
1980
1979
1978
1977
1976
1975
1974
1973
1972
1971
1970
pre-
1970

Age
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19

20+

m.
0.031
0.131
0.115
0.085
0.106
0.114
0.094
0.071
0.063
0.054
0.041
0.028
0.023
0.016
0.010
0.006
0.003
0.002
0.001

0.006


F
NL,i
0
0
0
0
0
0
0
0
0
0
0
0
0
0







.910
.920
.927
.934
.940
.947
.954
.939
.950
.867
.844
.843
.868
.873
-
—
—
—
-

-


FL,i


0
0
0
0
0
1
1
1
1
1

1
-
-
.093
.126
.157
.132
.127
.000
.000
.000
.000
.000

.000

Ec,i
31.6
30.2
28.8
27.4
26.0
24.6
23.3
21.8
19.6
18.5
16.7
15.6
14.9
13.9
12.6
12.9
13.1
13.2
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.0009
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.0037
.0029
.0038
.0044
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.0021
.0015
.0013
.0010
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.0008
.0005
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.0002
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                                          0.0003
                                          0.0003
                                          0.0002
                                          0.0001
                  0.0381
0.0022
0.0012

-------
                              TECHNICAL REPORT DATA
                        (Please read instructions on the reverse before completing]
1. REPORT NO.
 EPA-450/2-83-OQ2
                                                  3. RECIPIENT'S ACCESSIOWNO.
. TITLE AND SUBTITLE
 Supplementary Guidelines for Lead  Implemen-
 tation Plans -- Updated Projections  for
 Automobile Lead Emissions
                                                  5. REPORT DATE
                                                   March  1983
                                                  6. PERFORMING ORGANIZATION CODE
7. AUTHOR(S)
                                                  8. PERFORMING ORGANIZATION REPORT NO,
 Penny M.  Carey
9. PERFORMING ORGANIZATION NAME AND ADDRESS
  U.-S,  Environmental  Protection Agency
  Office of Air, uoise,  and Radiation
  Office of Mobile  Sources
  Ann Arbor, MI  48105
                                                 10. PROGRAM ELEMENT NO.
                                                 11. CONTRACT/GRANT NO.
 12. SPONSORING AGENCY NAME AND ADDRESS
                                                  13. TYPE OF REPORT AND PERIOD COVERED
                                                   Revision - Final	
                                                  14. SPONSORING AGENCY CODE
 15. SUPPLEMENTARY NOTES
 16. ABSTRACT
  This guidance  is  an update to Revised Section 4.3  (Projecting,
  Automotive Lead Emissions), in  the  "Supplementary  Guidelines for Lead
  Implementation Plans," U.S. EPA,  EPA-450/2-78-033,, Research Triangle
  Park, North Carolina,  August 1978.   The basic equation  for projecting
  automotive lead emissions has been  revised to incorporate the effect
  of the new EPA lead phase-down  regulation, more recent  on-road
  passenger car  and light-duty truck  fuel economy data, an estimate of
  increased dieselization of the  light and heavy-duty  fleet,  the effect
  of misfueling,  and more recent  projections of the  percent of vehicles
  from 1975 and  beyond that require the use of nonleaded  gasoline.  Also
  discussed are  current  expectations  regarding heavy-duty vehicle
  emission standards which affect use of leaded fuel.
17.
                           KEY WORDS AND DOCUMENT ANALYSIS
a.
               DESCRIPTORS
                                       b.lDENTIFIERS/OPEN ENDED TERMS
                                                             c.  COSATI Field/Group
  Air Pollution

  Atmosphere contamination control

  Lead
                                       State implementation
                                        plan

                                       National ambient  air
                                        quality standard
 13-B
13. DISTRIBUTION STATEMENT

  Release unlimited
                                      19. SECURITY CLASS (This Report)
                                       Unclassified
21. NO. OF PAGES
                                      20. SECURITY CLASS (Thispage)
                                       Unclassified
                                                             22. PRICE
EPA Form 2220-1 <9-73)

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17.  KEY WORDS AND DOCUMENT ANALYSIS                                                                       ,
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    EPA Form 2220-1 (3-73) (Reverse)

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