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CIRCULATING 


AGRICULTURE  LIBRAE* 

Economic  Effects 

Of  Controls 

On  Nitrogen  Fertilizer 

E.  R.  SWANSON,  C.  R.  TAYLOR, 
AND  P.  J.  VAN  BLOKLAND 

Bulletin  757 

Agricultural  Experiment  Station 

College  of  Agriculture 

University  of  Illinois  at  Urbana-Champaign 


This  bulletin  is  one  of  six  publications  reporting  research  con- 
ducted in  a  four-and-a-half-year  study  of  nitrogen  as  an  environ- 
mental quality  factor.  The  study,  including  publication  costs,  was 
supported  principally  by  a  grant  from  the  Rockefeller  Foundation. 
Support  for  this  phase  of  the  study  was  also  received  from  the  Illinois 
Agricultural  Experiment  Station  and  the  Office  of  Water  Resources 
Research  of  the  U.S.  Department  of  the  Interior  through  the  Water 
Resources  Center  of  the  University  of  Illinois  at  Urbana-Champaign. 

In  addition  to  this  bulletin,  two  others  in  the  series  have  been  pub- 
lished: "Nitrates,  Nitrites,  and  Health,"  Bulletin  750,  and  "Environ- 
mental Decision  Making:  The  Role  of  Community  Leaders,"  Bulletin 
756.  Other  bulletins  in  preparation  for  the  series  deal  with  nitrogen  in 
wells  and  farm  ponds,  and  management  of  nitrogen  for  crop  produc- 
tion. A  book  on  nitrogen  in  relation  to  food,  environment,  and  energy 
is  also  being  prepared  as  a  part  of  the  series. 

E.  R.  Swanson  is  a  professor  in  the  Department  of  Agricultural 
Economics,  College  of  Agriculture,  University  of  Illinois  at  Urbana- 
Champaign.  C.  R.  Taylor  is  an  assistant  professor  in  the  Department 
of  Agricultural  Economics,  College  of  Agriculture,  Texas  A  &  M 
University,  College  Station.  P.  J.  van  Blokland  is  an  assistant  profes- 
sor in  the  Food  and  Resource  Economics  Department,  Institute  of 
Food  and  Agricultural  Sciences,  University  of  Florida,  Gainesville. 

The  authors  acknowledge  the  research  contributions  of  five  doc- 
toral candidates  associated  with  the  project:  K.  K.  Frohberg,  D. 
Leonard,  H.  Onishi,  D.  Palmini,  and  M.  E.  Walker,  Jr.  Professor 
L.  F.  Welch  in  the  Department  of  Agronomy,  University  of  Illinois 
at  Urbana-Champaign,  provided  valuable  assistance  and  data  for  esti- 
mating crop  yield  responses  to  nitrogen. 


Urbana,  Illinois  April,  1978 

Publications  in  the  bulletin  series  report  the  results  of  investigations  made  or  sponsored  by 

the   Experiment  Station.   The   Illinois  Agricultural    Experiment   Station  provides   equal   oppor- 
tunities in  programs  and  employment. 


CONTENTS 

Nitrate  Controls  and  Water  Quality 2 

Education  as  a  Means  of  Voluntary  Restriction 

of  Nitrogen  Fertilizer 7 

Per-Acre  Restrictions  on  the  Use  of  Nitrogen  Fertilizer 11 

An  Excise  Tax  on  Nitrogen  Fertilizer 19 

A  Market  for  Rights  to  Use  Nitrogen  Fertilizer 22 

Restrictions  on  Nitrate  Concentration  in  Groundwater 

Below  the  Root  Zone 26 

A  Total-Farm  Nitrogen  Balance 29 

Summary 33 

Bibliography 35 


In  recent  years  the  role  of  agricultural  chemicals  as  water  contaminants 
has  become  a  matter  of  increasing  concern  among  people  who  are 
interested  in  the  quality  of  the  environment.  Before  controls  are  under- 
taken, however,  the  problem  of  reducing  contamination  should  be  exam- 
ined from  various  perspectives.  This  bulletin  looks  at  the  economic  effects 
that  six  alternative  methods  might  have  in  the  agro-environmental  com- 
plex if  attempts  are  made  to  control  the  use  of  commercial  nitrogen 
fertilizer.  Although  much  of  the  work  concerns  Illinois,  many  of  the 
results  of  these  analyses  can  be  applied  elsewhere  as  well. 

During  the  1950's  and  1960's  the  nitrate  content  of  ground  and 
surface  water  increased  substantially,  especially  in  the  Midwest.  This 
increase  was  apparently  related  to  the  expanded  use  of  commercial  fer- 
tilizers and  more  intensive  farming.  Increased  quantities  of  both  phos- 
phorus and  nitrogen  in  nonflowing  water  can  stimulate  algal  growth, 
which  eventually  adds  to  the  decaying  organic  matter  and  may  reduce 
oxygen  to  critical  levels  for  aquatic  life. 

Human  and  animal  health  can  also  be  endangered  by  excess  concen- 
trations of  nitrates,  which  are  a  form  of  nitrogen.  Under  certain  condi- 
tions bacteria  in  the  intestinal  tract  of  both  humans  and  animals  reduce 
nitrates  to  nitrites.  When  absorbed  into  the  bloodstream,  nitrites  change 
hemoglobin  into  methemoglobin,  which  cannot  carry  oxygen  to  body  tis- 
sue. Oxygen  levels  are  lowered,  and  when  more  than  70  percent  of  the 
hemoglobin  is  changed  into  methemoglobin,  death  may  result.  Infants 
under  six  months  of  age,  especially  those  with  digestive  disorders,  are 
particularly  vulnerable.  In  addition,  according  to  Lijinski  (1971),  some 
of  the  nitrosamines  formed  by  the  reaction  between  nitrites  and  certain 
organic  compounds  produce  cancer  in  laboratory  animals. 

Researchers  are  still  uncertain  about  the  possible  link  between  human 
health  hazards  and  the  use  of  commercial  nitrogen  fertilizers  and  other 
sources  that  raise  the  nitrate  content  of  water.  In  some  areas  of  the 
United  States  the  nitrate  concentration  in  water,  expressed  as  nitrate- 
nitrogen,  chronically  exceeds  the  standard  of  10  parts  per  million,  in 
some  cases  up  to  ten  times  this  level,  yet  no  serious  health  problems  have 
been  linked  to  nitrates  in  these  areas.  Even  so,  the  possibility  that  hazards 
may  develop  warrants  an  investigation  of  the  economic  effects  of  various 
control  measures. 

Commercial  nitrogen  fertilizers  are  only  one  source  of  nitrates.  Ni- 
trates are  also  derived  from  mineralizing  soil  organic  matter,  precipita- 
tion, fixation  of  atmospheric  nitrogen  by  soil  organisms,  animal  and 


2 BULLETIN  NO.  757 

human  metabolic  wastes,  and  organic  wastes  from  industries  that  pro- 
cess food,  paper,  and  pulp.  It  should  be  emphasized  that  the  nitrate  ions 
from  these  other  sources  are  as  subject  to  leaching  as  the  ions  from  com- 
mercial nitrogen  fertilizer.  The  amount  of  nitrate  moving  into  water 
would  probably  be  the  same  if  the  same  amount  of  nitrogen  were  sup- 
plied from  sources  other  than  nitrogen  fertilizer.  However,  because 
nitrogen  fertilizer  adds  a  significant  quantity  of  nitrates  to  water,  it  is 
prudent  to  examine  the  consequences  of  policy  alternatives  that  might 
control  this  source  but  still  meet  food  production  needs  (Aldrich,  1972). 


NITRATE  CONTROLS  AND  WATER  QUALITY 

In  addition  to  entering  into  biological  changes  in  the  soil,  nitrate  can 
go  to  ground  or  surface  water  or  to  the  atmosphere  by  volatilization  fol- 
lowing denitrification.  This  report  deals  with  leaching  into  waters  and 
the  grain  farmer's  contribution  to  the  potential  nitrate  problem. 

In  recent  years  there  has  been  a  spectacular  increase  in  the  quantity 
of  commercial  nitrogen  fertilizer  used.  In  1940  a  little  over  400,000 
short  tons  (363,000  metric  tons)  of  nitrogen  in  commercial  fertilizer 
was  used  in  the  United  States.  Between  1965  and  1977  the  application 
of  nitrogen  more  than  doubled  in  this  country,  and  now  stands  at  about 
10  million  tons  (9.1  million  metric  tons).  In  1977  Illinois  alone  applied 
978,000  tons  (887,000  metric  tons).  About  40  percent  of  all  nitrogen 
fertilizer  is  used  for  corn  production.  According  to  recent  indications, 
the  rates  of  application  on  the  most  heavily  fertilized  cornfields  in  the 
Alidwest  have  nearly  reached  a  plateau. 

The  effect  of  commercial  nitrogen  fertilizer  on  corn  yield  has  re- 
ceived attention  for  some  time,  and  as  a  consequence,  reasonably  good 
estimates  of  this  relationship  under  a  range  of  conditions  are  available 
(Swanson  et  al.,  1973).  In  contrast,  our  knowledge  concerning  the 
amount  of  applied  nitrogen  that  is  recovered  by  the  crop  and  the  amount 
escaping  into  water  is  not  at  all  clear.  As  one  investigator  explains: 
"Only  rarely  have  . . .  tests  shown  nitrogen  recoveries  in  the  crop  plus 
soil  greater  than  about  95  per  cent  of  the  applied  nitrogen;  values  of 
only  70  to  90  per  cent  are  fairly  common,  and  a  few  are  as  low  as  60 
per  cent.  .  .  .  Such  results,  obtained  under  ideal  conditions  where  no 
leaching  occurred,  help  to  explain  why  nitrogen  recoveries  in  the  crop 
under  average  field  conditions  often  are  no  greater  than  50  to  60  per 
cent  of  that  applied"  (Allison,  1966). 


ECONOMIC  EFFECTS  OF  CONTROLS 3 

Taylor  (1973)  attempted  to  statistically  estimate  the  relationships 
between  nitrate  content  of  some  Illinois  streams  and  agricultural  activi- 
ties, including  fertilizer  use,  in  watersheds  draining  into  these  streams. 
The  results  of  the  study  were  inconclusive,  in  part  because  the  study  was 
based  on  available  water  quality  and  fertilizer  use  data  that  had  not  been 
collected  specifically  for  estimation  of  these  relationships.  In  addition, 
biological  theory  has  not  yet  developed  to  the  point  that  it  can  provide 
much  guidance  regarding  the  variables  that  should  be  included  in  the 
estimated  relationships. 

It  is  possible  that  actions  will  be  proposed  to  reduce  agriculture's  con- 
tribution to  the  overall  nitrate  problem  even  though  this  contribution  is 
not  well  defined.  The  Illinois  Pollution  Control  Board  did,  in  fact,  con- 
duct hearings  in  1971  on  regulations  that  would  have  controlled  nitrogen 
fertilizer  applications.  The  Board  decided  that  there  was  an  insufficient 
basis  for  establishing  regulations  (Illinois  Pollution  Control  Board, 
1972).  Various  ways  of  controlling  nitrate  pollution  are  currently  being 
considered  in  the  implementation  of  Section  208  of  the  Federal  Water 
Pollution  Control  Act.  Different  methods  of  control  would  of  course 
produce  different  effects;  this  report  presents  the  economic  effects  that 
selected  nitrogen-related  policies  would  have  on  the  amount  and  location 
of  crop  production  and  farm  income. 

Alternative  Methods  of  Control 

The  six  public  policy  alternatives  to  be  considered  are:  (1)  educa- 
tion, (2)  per-acre  restrictions  on  commercial  nitrogen  fertilizer  rates, 
(3)  an  excise  tax,  (4)  a  market  for  rights,  (5)  restrictions  on  nitrate 
concentrations  in  leachate  in  a  watershed,  and  (6)  restrictions  on  the 
nitrogen  balance  at  the  farm  level.  Although  the  main  task  of  this  report 
is  to  present  economic  evidence,  these  proposed  alternatives  may  also 
provide  additional  background  information  for  decision  makers,  who 
must  attempt  to  weigh  the  trade-offs  between  the  economic  effects  and 
other  relevant  consequences,  the  most  important  of  which  relate  to  en- 
vironment and  health.  The  various  control  methods  are  obviously  not 
mutually  exclusive;  a  combination  of  two  or  more  could  be  adopted. 
Because  this  report  considers  only  the  economic  consequences  to  farmers, 
a  socially  optimal  policy  must  be  determined  within  a  more  comprehen- 
sive framework  that  includes  environmental,  health,  and  tax  effects,  as 
well  as  some  of  the  ways  consumers  might  be  affected  (Gros  and  Swan- 
son,  1976). 


4  —  BULLETIN  NO.  757 

Principal  Analytic  Tool 

In  the  sections  on  per-acre  restrictions,  excise  tax,  and  restrictions 
on  the  nitrate  balance  at  the  farm  level,  the  analyses  presented  are  based 
on  a  common  logic,  that  of  linear  programming.  This  method  uses  an 
optimization  technique  that  permits  many  variables  to  be  considered 
simultaneously.  Described  technically,  the  procedure  maximizes  or  mini- 
mizes a  linear  criterion  function,  subject  to  a  set  of  linear  equalities  or 
inequalities.  In  economic  applications  the  criterion  function  is  usually 
net  returns  (income)  in  a  maximization  problem  or  costs  in  a  minimiza- 
tion problem.  Various  constraints,  such  as  the  amount  and  location  of 
land  resources  of  differing  quality,  are  taken  into  account.  Applied  to 
individual  farms,  the  method  permits  a  more  detailed  analysis  of  the 
interrelationships  among  enterprises  and  consideration  of  a  wider  range 
of  technical  alternatives  than  is  possible  with  conventional,  less  formal 
methods.  At  the  regional  or  national  level,  the  method  allows  an  analysis 
of  the  influence  that  markets  and  regional  variations  in  soil  productivity 
and  climate  have  on  the  location  of  agricultural  production. 

The  analytic  capability  of  linear  programming  is  especially  impor- 
tant for  estimating  the  effects  of  nitrogen-related  control  measures.  Re- 
strictions on  nitrogen  fertilizer  will,  for  example,  have  "ripple"  effects 
throughout  the  agricultural  economy  by  altering  the  competitive  advan- 
tage of  crops  that  depend  in  varying  degrees  on  nitrogen  fertilizer.  As 
a  result  of  changes  in  competitive  positions  among  crops,  land  use  pat- 
terns change.  The  crops  disadvantaged  by  nitrogen  controls  are  replaced 
to  some  extent  by  those  crops  not  directly  affected  by  the  controls.  To 
illustrate  the  point,  in  one  of  the  models  used,  the  total  digestible  nutrient 
requirement  for  livestock  could  be  met  by  substituting  one  feed  for  an- 
other. The  possibility  of  substituting  different  kinds  of  grain  in  a  pro- 
ducing region  to  meet  feed  and  food  requirements  tends  to  moderate  the 
economic  impact  of  public  policy  intervention. 

Types  of  Linear  Programming  Models 

Five  mathematical  programming  models  were  used  to  analyze  the 
effects  of  nitrogen  fertilizer  control  measures.  These  models  differ  pri- 
marily in  the  unit  of  analysis,  namely,  the  nation,  the  Corn  Belt,  Illinois, 
a  watershed,  and  a  farm.  Assumptions  about  the  demand  for  crop  pro- 
duction are  related  to  the  unit  analyzed.  These  demand  assumptions 
influence  the  price  and  production  effects  of  programs  that  control  the 
use  of  nitrogen  fertilizer.  As  the  price  and  production  effects  vary,  the 


A.  Quantity  Fixed, 
Price  Variable 


ECONOMIC  EFFECTS  OF  CONTROLS 5 

D 

B. Quantity  and 
Price  Variable 


0'   0 


C. Quantity  Variable, 
Price  Fixed 


Figure  1.  Effect  of  marginal  cost  in- 
creases under  various  demand  as- 
sumptions. D  =  demand,  P  =  price, 
Q  =  quantity,  S  =  supply. 


consequences  of  nitrogen  controls  on  total  revenues  (gross  income)  will 
also  vary.  Figure  1  illustrates  the  difference  in  the  demand  concept 
among  models,  and  provides  a  framework  for  classifying  the  five  models 
used. 

In  each  of  the  three  types  of  demand  assumption  patterns  in  Figure 
1,  a  control  on  the  use  of  nitrogen  fertilizer  increases  the  marginal  cost 
of  crop  production.  Marginal  cost,  that  is,  the  increase  in  total  produc- 
tion cost  occurring  when  output  is  increased  by  one  unit,  is  based  on 
variable  cost.  In  all  three  types  of  demand  patterns,  supply  (marginal 
cost  function)  increases  in  a  similar  way  from  S  to  S'  when  a  control 
is  imposed.  The  effect  on  price  and  quantity,  however,  varies  because 
the  demand  assumptions  are  different. 

In  Figure  1A  the  demand  is  a  fixed  quantity,  or  perfectly  inelastic 
with  respect  to  price.  Thus  the  full  effect  of  a  marginal  cost  increase  is 
reflected  in  price.  Before  the  control  is  imposed,  the  total  revenue  (quan- 


6 —  BULLETIN  NO.  757 

tity  times  price)  is  OQ  X  OP;  after  the  supply  curve  rises  to  S',  total 
revenue  increases  to  OQ  X  OP'.  The  national  model  discussed  in  later 
sections  of  this  report  uses  this  type  of  demand  assumption.  The  national 
model  is  of  course  much  more  complex  than  Figure  1A  indicates  because 
this  model  includes  many  crops  and  regions,  each  with  its  individual 
crop  supply  and  demand  functions,  and  with  all  of  the  regions  linked 
in  a  transportation  network.  Nevertheless,  the  figure  represents  the  con- 
cept of  a  fixed  demand,  which  is  central  to  interpreting  the  results  of 
the  analysis. 

The  Corn  Belt  model  also  has  a  number  of  crops  and  regions,  but 
the  demand  assumptions  for  two  major  crops,  corn  and  soybeans,  are 
those  illustrated  in  Figure  IB.  In  this  pattern,  consumption  is  reduced 
as  increased  marginal  costs  are  reflected  in  increased  prices.  For  crops 
other  than  corn  and  soybeans  the  inelastic  demand  of  Figure  1A  is  used. 
Note  that  an  increase  in  the  marginal  cost  from  S  to  S'  may  cause  total 
revenue  either  to  increase  or  decrease,  depending  on  the  slope  of  the 
demand  curve.  In  Figure  IB  the  total  revenue  increases  after  nitrogen 
fertilizer  controls  are  imposed,  from  OQ  X  OP  to  OQ'  X  OP'.  The  de- 
mand assumption  presented  in  Figure  IB  is  preferred  for  analysis  of 
controls  having  economic  effects  at  the  regional  and  national  levels,  but 
often  the  increased  complexity  of  implementing  this  concept  leads  to  the 
use  of  the  concepts  in  Figures  1A  and  1C. 

The  state,  farm,  and  watershed  models  have  crop  demands  that  are 
perfectly  elastic  (Figure  1C).  Thus,  as  marginal  costs  increase  from  S 
to  S',  there  is  no  increase  in  price,  and  total  revenue  decreases  from 
OQ  X  OP  to  OQ'  X  OP.  In  the  national  model  some  of  the  results 
pertain  to  a  situation  in  which  nitrogen  controls  are  imposed  only  in 
Illinois.  In  this  case,  either  Figure  1C  with  a  perfectly  elastic  demand  or 
Figure  IB  with  a  somewhat  elastic  demand  would  characterize  the  de- 
mand assumption  for  Illinois,  even  though  the  national  model  otherwise 
follows  the  pattern  in  Figure  1A. 

The  different  demand  concepts  underlying  the  models  used  should 
be  kept  in  mind  as  the  economic  effects  of  the  various  nitrogen  control 
alternatives  are  presented  in  later  sections  of  this  report.  There  are  also 
other  differences  in  model  formulation,  but  they  are  not  as  important  as 
those  discussed  above.  The  following  sources  contain  detailed  descrip- 
tions of  the  five  models:  national,  Taylor  and  Swanson  (1975);  Corn 
Belt,  Taylor  and  Frohberg  (1977);  state,  Palmini  (1975);  watershed, 
Onishi  (1973),  Onishi  et  al  (1974),  Onishi  and  Swanson  (1974);  and 
farm,  Walker  (1974),  Walker  and  Swanson  (1974). 


ECONOMIC  EFFECTS  OF  CONTROLS 7 

EDUCATION  AS  A  MEANS  OF  VOLUNTARY  RESTRICTION 
OF  NITROGEN  FERTILIZER 

If  farmers  are  applying  more  nitrogen  fertilizer  than  necessary  to 
meet  their  economic  goals,  then  an  educational  program  could  be  an 
effective  way  to  convince  them  to  voluntarily  reduce  the  amount  applied. 
Farmers  would  save  money  in  the  long  run  and  water  quality  would  im- 
prove. But  are  most  farmers  actually  applying  too  much  fertilizer?  To 
answer  this  question,  we  did  three  separate  analyses  to  determine  optimal 
levels  of  nitrogen  fertilizer  for  corn  in  Illinois.  Two  of  these  studies 
used  experimental  data;  the  third  examined  the  experiences  of  farmers 
themselves. 

Experimental  Data 

Using  experimental  data  from  eight  locations  in  Illinois,  Swanson 
et  al.  (1973)  statistically  estimated  the  effects  of  various  amounts  of 
nitrogen  on  corn  yields  (response  function).  In  some  instances  the  tim- 
ing of  application  was  included  in  the  estimates.  These  response  func- 
tions were  then  used  to  calculate  how  the  corn-nitrogen  price  ratio  would 
affect  the  economically  optimal  rate  of  application  for  each  year. 

In  this  study  we  started  with  the  assumption  that  it  was  known  with 
certainty  what  the  corn  yields  would  be  in  relation  to  the  amount  of  nitro- 
gen applied.  The  optimal  level  in  our  analysis  ranged  from  100  pounds 
per  acre  (112  kg./ha.)  at  Brownstown  to  290  pounds  per  acre  (325 
kg./ha.)  atDeKalb. 

We  then  dropped  the  assumption  of  a  known  response  function,  and 
used  three  game-theoretic  decision  models  to  estimate  the  best  rates  of 
nitrogen  application.  The  models  and  their  criteria  were:  choose  the  fer- 
tilizer rate  giving  the  highest  simple  average  over  time  (La  Place); 
maximize  the  minimum  return  (Wald);  and  minimize  the  maximum 
regret  (Savage).  These  three  models  use  the  concept  of  a  game  against 
nature  in  which  the  farmer  chooses  the  nitrogen  fertilizer  level  that 
corresponds  to  his  expectation  of  the  kind  of  natural  phenomena,  such 
as  weather,  that  will  characterize  the  coming  season.  The  La  Place  cri- 
terion assumes  that  the  average  season  will  occur,  and  the  Wald  criterion 
assumes  the  worst  possible  season.  The  Savage  criterion,  or  minimizing 
the  maximum  regret,  assumes  that  the  farmer  will  choose  that  amount 
of  fertilizer  which,  in  retrospect,  will  result  in  the  smallest  loss  or 
regret.  The  loss  is  determined  by  subtracting  the  realized  net  return  from 
what  the  return  would  have  been  had  foresight  been  perfect.  Given  the 


8 BULLETIN  NO.  757 

assumption  of  each  of  the  three  decision  models,  the  optimal  amounts  of 
nitrogen  fertilizer  to  be  applied  ranged  from  100  to  240  pounds  per  acre 
(112  to  269  kg./ha.)-  In  general,  these  amounts  exceed  the  levels  actu- 
ally applied  by  farmers;  hence,  we  have  little  evidence  here  that  educa- 
tional programs  based  on  these  experiments  would  reduce  the  levels  of 
nitrogen. 

Frohberg  and  Taylor  (1975)  incorporated  uncertainty  into  a  deci- 
sion model  in  another  way:  they  used  regression  equations  to  estimate 
the  influence  of  risk  due  to  weather  variations  on  the  response  of  corn 
to  nitrogen.  Rainfall  and  temperature  data  from  seven  experimental 
fields  in  Illinois  for  the  period  May  20  through  August  23  for  the  seven 
years  1967  through  1973  were  used  to  estimate  the  effect  of  weather 
plus  nitrogen  on  corn  yields.  These  data,  which  were  essentially  the  same 
as  those  used  in  the  Swanson  et  al.  study  (1973),  were  divided  into  two 
sets,  depending  on  the  crop  rotation  pattern  used  for  each  field.  Harts- 
burg,  Aledo,  Kewanee,  and  Toledo  had  corn  followed  by  soybeans,  while 
Carthage,  DeKalb,  and  Brownstown  had  corn  followed  by  corn.  The 
response  to  applied  nitrogen  is  different  in  the  two  rotation  patterns  be- 
cause soybeans,  through  a  biological  process  known  as  nitrogen  fixation, 
convert  nitrogen  in  the  air  into  a  form  that  the  following  corn  crop  can 
use.  Hence,  two  regression  equations  were  used,  one  for  each  rotation 
pattern. 

With  these  two  equations  we  then  determined  the  optimal  rates  for 
nitrogen  fertilizer  application.  It  was  assumed  for  this  analysis  that  the 
decision  criterion  was  to  maximize  expected  or  average  profits  subject 
to  the  risk  of  not  recovering  the  cost  of  the  fertilizer.  Two  levels  of  risk 
were  considered:  a  loss  in  one  year  out  of  one  hundred,  and  a  loss  in 
one  year  out  of  twenty.  The  results  show  that,  on  the  basis  of  recent 
price  relationships,  the  weather-related  risk  constraint  is  not  effective. 
In  other  words,  farmers  who  are  sensitive  to  this  kind  of  risk  should 
apply  nitrogen  fertilizer  at  the  rate  that  maximizes  expected  profits.  In 
all  seven  areas  the  optimal  rates  were  more  than  150  pounds  per  acre 
(168  kg./ha.). 

Comparison  of  Experimental  and  Actual  Data 

In  advising  individual  farmers  on  optimal  rates  of  nitrogen  applica- 
tion and  in  analyzing  alternative  control  methods,  it  is  important  to  con- 
sider how  closely  the  experimental  conditions  correspond  to  the  actual 
experiences  of  commercial  farmers.  Taylor  and  Swanson  (1973)  ap- 
proached the  issue  in  two  ways,  first,  by  comparing  experimental  re- 


ECONOMIC  EFFECTS  OF  CONTROLS 9 


None 


1-50 
(1-56) 


51-100 
(57-112) 


101-150 
(113-168) 


151-200 
(169-224) 


Nitrogen   Applied,  Ib. /A.  (kq./ha.) 


201 -I- 
(225+) 


Figure  2.  Proportion  of  Illinois  corn  acreage  receiving  specified  amounts  of 
commercial  nitrogen  fertilizer,  1971. 


sponse  functions  with  the  results  of  a  survey  of  yields  on  commercial 
farms  and,  second,  by  comparing  experimental  results  with  some  re- 
sponse functions,  developed  by  the  U.S.  Department  of  Agriculture,  that 
were  based  on  the  judgments  of  agronomists  familiar  with  both  experi- 
mental data  and  farm  practices.  Taylor  and  Swanson  concluded  that, 
while  the  experimental  response  of  corn  yields  to  nitrogen  appeared  to 
be  consistently  higher  than  the  response  experienced  by  commercial 
farmers,  the  economically  optimal  fertilization  rates  for  commercial 
farms  were  only  slightly  lower  than  the  optimal  rates  for  the  experi- 
mental situations. 

Next,  we  compared  these  optimal  rates  with  the  rates  farmers  actu- 
ally use.  Figure  2  shows  an  estimated  nitrogen  fertilizer  rate  distribution 
for  Illinois.  The  average  rate  in  1971  was  about  113  pounds  per  acre 
(127  kg./ha.),  which  is  well  below  the  optimal  experimental  rates  indi- 
cated for  many  situations  in  the  state.  It  might  be  argued  that  farmers 
who  apply  more  than  150  pounds  of  nitrogen  are  overapplying.  How- 
ever, extension  personnel  and  others  intimately  familiar  with  Illinois 
farming  claim  that  most  farmers  in  this  category  have  yields  that  justify 
these  rates. 

We  must  then  conclude  that  any  reduction  in  fertilizer  use  is  likely 
to  reduce  the  profits  of  an  individual  farmer.  Consequently,  an  educa- 
tional program  would  probably  not  reduce  the  nitrogen  load  (the  total 


10 BULLETIN  NO.  757 


ECONOMIC  EFFECTS  OF  CONTROLS  —  11 

amount  of  nitrogen  added  minus  the  amount  removed  by  crops).  In 
fact,  if  farmers  were  better  informed  about  response  functions  and  price 
ratios,  an  educational  program  could  possibly  increase  the  nitrogen  load, 
because  in  terms  of  economic  returns,  more  farmers  apparently  under- 
apply  than  overapply  nitrogen. 


PER-ACRE  RESTRICTIONS  ON  THE  USE 
OF  NITROGEN  FERTILIZER 

If  adopted  as  public  policy,  a  mandatory  per-acre  restriction  on  the 
use  of  commercial  nitrogen  fertilizer  would  set  limits  on  the  amount  of 
nitrogen  that  could  be  applied  to  any  one  crop.  The  objective  of  such  a 
policy  would  be  to  reduce  the  degree  of  water  contamination.  Restrictions 
would,  however,  have  other  effects  as  well,  as  our  analyses  of  the  na- 
tional, Corn  Belt,  and  state  models  will  show. 

National  Model 

The  quantitative  framework  used  in  this  analysis  is  a  national  linear 
programming  model  of  U.S.  crop  production.  Eight  crops  are  included 
in  the  model:  feed  grains  (corn,  sorghum,  oats,  and  barley),  food  grains 
(wheat  and  rye),  and  oilseeds  (cotton  and  soybeans).  The  method  of 
solving  the  model  enables  us  to  determine  the  crop  acreages  that  minimize 
the  production  and  transportation  cost  (total  cost)  of  meeting  the  fixed 
demands  for  domestic  livestock  feed  and  food  for  direct  human  con- 
sumption, and  for  export  (Figure  1A). 

Agricultural  production  and  distribution  regions  in  this  country  are 
interdependent.  To  reflect  this  interregional  relationship,  the  U.S.  De- 
partment of  Agriculture  divided  the  United  States  into  producing  re- 
gions and  consuming  regions  (Figures  3  and  4).  Producing  regions  are 
delineated  principally  on  the  basis  of  uniformity  of  the  soil.  Each  pro- 
ducing region  has  at  least  one  crop  production  activity  or  enterprise,  for 
example  corn,  which  is  considered  agriculturally  important  for  that  re- 
gion. A  particular  crop  may  be  a  dryland  enterprise,  an  irrigated  enter- 
prise, or  both. 

The  producing  regions  do  not  blanket  the  entire  country  (Figure  3), 
but  they  do  include  more  than  99  percent  of  the  feed  grain,  cotton,  and 
soybean  acreage,  and  about  97  percent  of  the  small  grain  acreage.  Any 
production  of  these  commodities  outside  of  the  producing  regions  is  not 


12 BULLETIN  NO.  757 


Figure  4.  Consuming  regions. 


ports 

exports  moving  overland  to  Canada  and  Mexico 


treated  within  the  model,  but  is  predetermined  at  estimated  1973  pro- 
duction levels. 

The  consuming  regions,  which  follow  state  boundaries  (Figure  4), 
specify  regional  commodity  demands  and  also  make  it  possible  to  deter- 
mine interregional  commodity  transportation  within  the  model.  The  total 
demand,  including  domestic  and  export,  for  each  of  the  consuming  re- 
gions is  broken  down  into  the  following  parts  for  all  eight  crops :  domes- 
tic demand  for  seed,  food  for  direct  human  consumption,  specified  grains 
for  all  livestock  except  cattle,  sheep,  and  swine,  and  feed  in  the  form  of 
digestible  nutrients  and  digestible  protein  for  cattle,  sheep,  and  swine; 
and  export  demand,  specified  by  port  or  by  overland  route  in  the  case  of 
corn  or  soybeans  moving  to  Mexico  and  Canada.  Added  together,  the 
regional  demands  make  up  the  total  national  demand  for  each  crop. 
These  demands  are  treated  as  requirements  for  solutions  to  the  national 
model,  with  each  solution  giving  the  crop  acreages  that  minimize  the  total 
cost  of  meeting  domestic  and  export  demands. 

There  are  three  basic  assumptions  related  to  fertilizer  use  for  the 
analyses  involving  the  national,  Corn  Belt,  and  state  models.  First,  farm- 
ers applying  nitrogen  at  rates  lower  than  the  restriction  level  will  not 
change  their  practice,  and  farmers  applying  more  than  this  level  will 
reduce  their  rate  to  comply  with  the  restriction.  Second,  phosphorus  and 


ECONOMIC  EFFECTS  OF  CONTROLS 13 

Table  7.  —  Changes  Required  in  Total  U.S.  Acreage*  to  Meet  Low  and  High 
Export  Demands  Under  Commercial  Nitrogen  Fertilizer  Restric- 
tions —  National  Model 

Location  of  Nitrogen  restriction  on  corn,  sorghum,  wheat 

restriction  No  150  Ib./A.          100  Ib./A.  50  Ib./A. 

Export  level  restriction       (168  kg./ha.)     (112  kg./ha.)      (56  kg. /ha.) 


Illinois  only 
Low  export  

High  export  .    .  . 

.    214.6 
(86.9) 
228.4 

million  acres  (ha.) 

214.1                 214.6 
(86.7)                (86.9) 
229.4                 229.9 
(92.9)               (93.1) 

211.4                 214.9 
(85.6)               (87.0) 
226.0                229.9 
(91.5)               (93.1) 

215.2 
(87.2) 
231.8 
(93.9) 

230.7 
(93.4) 
246.5 
(99.8) 

Entire  U.S. 
Low  export.  . 

(92.5) 
214  6 

High  export 

(86.9) 
228  4 

(92.5) 

a  Land  required  for  corn,  soybeans,  sorghum,  cotton,  wheat,  and  other  small 
grains. 


potassium  applications  do  not  change  with  changes  in  nitrogen  restric- 
tion levels.  Third,  the  distribution  pattern  of  nitrogen  application  among 
farmers  is  based  on  the  mean  fertilizer  rate,  together  with  an  assumption 
about  the  mathematical  form  of  the  distribution  (Taylor  and  Swanson, 
1973). 

We  conducted  two  main  investigations,  one  for  nitrogen  restrictions 
in  Illinois  only,  and  the  other  for  nationwide  restrictions.  Although  the 
restrictions  apply  only  to  corn,  sorghum,  and  wheat,  the  acreages  of  other 
crops  may  also  be  affected  in  the  process  of  meeting  the  demand  at  mini- 
mum cost.  Both  analyses  determined  the  following:  first,  the  acres  neces- 
sary to  meet  high  and  low  export  demand  predictions  when  nitrogen  re- 
strictions of  150,  100,  and  50  pounds  per  acre  (168,  112,  56  kg./ha.)  are 
imposed  (Table  1);  and  second,  some  more  detailed  effects  of  these 
restrictions  (Table  2). 

The  low  export  demand  level  corresponds  approximately  to  the  na- 
tional exports  in  calendar  year  1970  for  the  eight  crops  in  the  model. 
The  high  demand  level,  which  is  a  little  greater  than  the  actual  exports 
for  the  1972  crop  year,  represents  the  following  increases  above  the  low 
export  levels:  40  percent  for  corn  and  sorghum,  15  percent  for  soybeans 
and  cottonseed,  and  93  percent  for  small  grains. 

In  general,  restricting  the  use  of  nitrogen  will  lower  the  yields. 
Therefore,  if  domestic  and  export  demands  are  to  be  met,  the  number 
of  acres  planted  to  some  crops  must  be  increased.  When  low  export 


14 BULLETIN  NO.  757 

levels  are  considered,  nationwide  restrictions  require  a  far  greater  in- 
crease in  the  total  crop  acreage  than  do  restrictions  in  Illinois  only 
(Table  1).  The  bench-mark  solution  with  no  restrictions  in  Illinois  re- 
quires a  total  of  214.6  million  acres  (86.9  million  ha.)  to  meet  the  low 
export  demand,  while  the  50-pound-per-acre  restriction  only  in  Illinois 
needs  215.2  million  acres  (87.2  million  ha.)  nationwide,  an  increase  of 
less  than  1  percent.  However,  if  the  restriction  of  50  pounds  per  acre  is 
enforced  throughout  the  entire  United  States,  the  acreage  needed  for 
crops  increases  16  percent. 

A  similar  comparison  of  the  high  export  figures  was  made.  With  no 
nitrogen  restrictions  in  Illinois,  the  bench-mark  requirement  is  228.4 
million  acres  (92.5  million  ha.).  When  a  50-pound  limit  is  imposed  in 
Illinois  only,  the  total  required  to  meet  the  high  export  demand  increases 
to  231.8  million  acres  (93.9  million  ha.),  or  about  3.5  percent.  If,  how- 
ever, the  same  50-pound  limit  is  set  throughout  the  United  States,  the 
acreage  needed  to  meet  high  export  levels  leaps  by  18  percent  over  the 
no-restriction  levels,  to  246.5  million  acres  (99.8  million  ha.).  Such  an 
increase  would  have  serious  environmental  consequences,  as  mentioned 
later  in  this  section. 

Note  in  Table  1  that,  under  the  low  export  demand  with  a  150-pound 
restriction  in  Illinois,  the  total  U.S.  acreage  required  is  about  500,000 
acres  (200,000  ha.)  less  than  with  no  restriction.  Further,  the  total  U.S. 
acreage  required  does  not  increase  at  the  100-pound  limit.  In  both  cases 
there  is  no  acreage  increase  because  the  amount  of  nitrogen  applied  is 
reduced  to  levels  that  are  more  economical  than  those  of  the  1970  bench- 
mark solution.  Data  not  shown  in  Table  1  indicate  that,  as  a  result  of 
the  150-  and  100-pound  limits,  corn  acreage  in  Illinois  rises  slightly  to 
compensate  for  the  yield  reductions.  At  these  levels  of  nitrogen  limita- 
tion Illinois  can  maintain  its  competitive  position  in  corn  production. 
With  a  restriction  of  50  pounds,  however,  corn  acreage  in  Illinois  is 
reduced  nearly  50  percent.  When  restrictions  are  applied  to  the  entire 
United  States,  the  corn  acreage  required  to  meet  the  low  export  demand 
increases  slightly  at  the  100-pound  level.  The  same  general  pattern  pre- 
vails for  the  high  export  demands. 

The  above  analysis  assumes  a  rather  short  time  span  between  the  im- 
position of  controls  and  their  effects.  We  have  assumed  that  crop  yields 
for  a  given  amount  of  nitrogen  fertilizer  are  the  same  as  yields  in  the 
early  1970's.  Thus  we  ruled  out  the  adoption  of  new  yield-increasing 
technology,  which  would  tend  to  offset  the  yield  losses  from  nitrogen 
restrictions.  Should  a  new  technology  that  is  not  dependent  on  high  levels 


ECONOMIC  EFFECTS  OF  CONTROLS 15 

Table  2.  —  Effects  of  Imposing  Per- Acre  Restrictions  on  Commercial  Nitro- 
gen Fertilizer  in  Illinois  —  National  Model 


] 

Nitrogen  restriction 

Change 

150  Ib./A. 
(156  kg./ha. 

100  Ib./A. 
)    (112  kg./ha.)     ( 

50  Ib./A. 
56  kg./ha.) 

Illinois 
Net  income  per  farm*  

0  4% 

-4  0% 

-17  0% 

Nitrogen  on  unit  area  of  corn  

-10  0% 

—30  0% 

—  62  0% 

Nitrogen  on  unit  area  of  wheat  .  .  . 

-2  0% 

—  10  0% 

—39  0% 

Total  nitrogen  used  .... 

—9  0% 

-29  0% 

-81  0% 

Corn  

+0  03 

million  acres  (ha.) 
+0  04 

-5  70 

Soybeans  

(+0.01) 
-0  02 

(+0.02) 
+0  03 

(-2.31) 
+4  40 

Rest  of  Corn  Belt" 
Corn  

(-0.01) 
-0  10 

(+0.01) 
+0  03 

(  +  1.78) 
+3  60 

Soybeans  

(-0.04) 
+0.10 

(+0.01) 
+0  30 

(  +  1.46) 
+4  60 

(+0.04) 

(+0.12) 

(  +  1.86) 

a  Income  derived  from  corn,  soybeans,  wheat,  and  oats. 
b  Indiana,  Iowa,  Missouri,  and  Ohio. 


of  nitrogen  be  adopted,  our  estimates  of  land  needed  under  each  situ- 
ation are  too  high.  Nevertheless,  the  differences  in  model  solutions  —  the 
focus  of  this  analysis  —  would  not  be  significantly  biased  by  the  changes 
in  crop  production  technology  likely  to  occur  in  the  next  five  to  ten  years. 

The  increased  demand  for  land  resulting  from  nitrogen  restrictions, 
combined  with  expanding  export  markets,  may  have  soil  conservation 
and  environmental  quality  consequences.  As  poorer  land  is  brought  under 
cultivation,  soil  erosion  will  increase,  producing  more  sediment  than  at 
present.  While  a  per-acre  restriction  on  nitrogen  might  reduced  nitrates 
in  water,  restrictions  could  at  the  same  time  result  in  an  increase  in 
sedimentation. 

This  overview  hides  some  noteworthy  regional  changes.  Table  2  pre- 
sents a  few  consequences  of  imposing  a  nitrogen  restriction  in  Illinois 
only.  A  50-pound-per-acre  maximum  will  decrease  nitrogen  use  in  Illi- 
nois by  81  percent  and  the  average  income  per  farm  by  17  percent.  At 
the  same  time,  nitrogen  applications  in  the  rest  of  the  Corn  Belt  will 
rise  by  20  percent  (data  not  shown).  The  dissatisfaction  of  Illinois  farm- 
ers with  inevitable  reductions  in  corn  acreages  and  associated  income 
while  farmers  in  neighboring  states  appear  to  gain  at  their  expense  would 


16 BULLETIN  NO.  757 

be  considerable.  Also,  from  the  standpoint  of  environmental  improve- 
ment not  much  would  be  gained,  because  many  of  Illinois'  nitrate  prob- 
lems would  simply  be  transferred  to  other  states. 

Corn  Belt  Model 

This  model  is  a  linear  programming  representation  for  the  produc- 
tion of  six  crops,  namely,  corn,  soybeans,  wheat,  oats,  hay,  and  pasture, 
which  are  economically  important  to  the  Corn  Belt.  In  this  model  the 
Corn  Belt  includes  all  of  Illinois  and  Iowa,  together  with  parts  of  Indi- 
ana, Kansas,  Michigan,  Minnesota,  Missouri,  Nebraska,  Ohio,  South 
Dakota,  and  Wisconsin.  Solutions  to  the  Corn  Belt  model  are  obtained 
by  maximizing  the  sum  of  consumer's  and  producer's  surpluses  minus 
the  variable  costs  of  producing  the  six  crops.  Consumer's  surplus  is  mea- 
sured by  comparing  what  consumers  are  willing  to  pay  for  food  and  what 
they  actually  pay.  Producer's  surplus,  or  the  return  to  the  fixed  resource 
(land),  represents  rent  to  the  landowner.  Estimates  of  demand  and 
supply  as  functions  of  price  are  required  to  implement  the  concepts  of 
consumer's  and  producer's  surpluses. 

Corn  and  soybeans  are  of  major  economic  importance  to  the  Corn 
Belt,  which  produces  70  percent  of  the  nation's  corn  and  60  percent  of 
the  soybeans.  Therefore,  the  demand  for  these  two  crops  is  introduced 
into  the  model  in  the  manner  indicated  in  Figure  IB,  and  both  prices  and 
quantities  for  these  two  crops  are  determined  within  the  model.  In  con- 
trast, the  demands  for  the  other  four  crops  are  treated  as  fixed  quanti- 
ties (Figure  1A). 

The  Corn  Belt  is  divided  into  seventeen  geographic  regions,  each  with 
eleven  land  capability  units  that  reflect  variations  in  the  suitability  of  soil 
and  climate  for  crops.  Crop  production  activities  in  these  units  can  vary 
in  several  ways:  by  crop  rotation,  with  an  average  of  eleven  rotations  per 
unit;  by  conservation  practice,  namely,  straight  row,  contouring,  and  ter- 
racing; and  by  tillage  methods,  namely,  fall  plow,  spring  plow,  and  chisel 
plow.  Rotations,  rather  than  single  crop  activities,  were  included  to  re- 
flect the  influence  of  the  previous  crop  on  the  fertilizer  and  pesticide 
requirements  of  the  current  crop. 

In  this  application  (Taylor  and  Frohberg,  1977),  the  Corn  Belt  model 
was  used  to  assess  the  effects  of  reducing  the  average  rate  of  nitrogen 
application  from  140  pounds  per  acre  (157  kg./ha.)  to  a  maximum  of 
50  pounds  per  acre  (56  kg./ha.).  Imposing  this  limit  reduces  consumer's 
surplus  by  $3.3  billion  and  increases  producer's  surplus  by  $2.0  billion, 
leaving  a  net  decrease  of  $1.3  billion  (Table  3).  Producer's  surplus,  or 


ECONOMIC  EFFECTS  OF  CONTROLS 17 

Table  3. — Effects  on  Producer's  and  Consumer's  Surpluses,  Crop  Prices, 
and  Nitrogen  Load  Resulting  From  Per-Acre  Restrictions  on 
Commercial  Nitrogen  Fertilizer  —  Corn  Be/t  Model" 


Change 

Nitrogen  restriction 

140  Ib./A. 
(157  kg./ha.) 

100  Ib./A. 
(112  kg./ha.) 

50  Ib./A. 
(56  kg./ha.) 

Producer's  surplus  (million)  

0 

$         21 
-321 

$     2.56 
100.80 

$     5.24 
192.57 

1,595 
1,447 

$       2,036 
-3,325 

$        3.08 
121.28 

$        5.82 
213.89 

1,100 
998 

Consumer's  surplus  (million) 

o 

Crop  price 
Corn 
per  bushel  

$     2  46 

per  metric  ton  

96  86 

Soybeans 
per  bushel  

$     5  26 

per  metric  ton  

193.31 

Nitrogen  loadb 
short  ton  (1,000)  

2,095 

metric  ton  (1,000)  

1,901 

a  The  Corn  Belt  model  includes  all  of  Illinois  and  Iowa,  together  with  parts  of 
Indiana,  Kansas,  Michigan,  Minnesota,  Missouri,  Nebraska,  Ohio,  South  Dakota, 
and  Wisconsin. 

b  Total  from  inorganic  and  organic  sources. 


rent,  increases  as  a  result  of  the  fertilizer  restriction,  because  land  be- 
comes more  scarce  and  hence  more  valuable  as  a  source  of  crop  produc- 
tion. The  average  annual  rent  for  Corn  Belt  land  changes  from  $87  to 
$111  per  acre  ($215  to  $274/ha.),  an  increase  of  about  27  percent. 

Corn  prices  rise  from  $2.46  to  $3.08  per  bushel,  an  increase  of  25 
percent.  But  the  nitrogen  load,  that  is,  the  total  nitrogen  added  minus 
the  nitrogen  removed  in  harvested  crops,  decreases  by  47  percent. 
Whether  such  a  reduction  in  the  nitrogen  load  would  meet  or  surpass 
water  quality  goals  is  not  of  course  indicated  by  these  results.  We  can 
say,  however,  that  a  nitrogen  fertilizer  reduction  of  about  two-thirds  in 
the  Corn  Belt  as  a  whole  would  have  a  substantial  economic  impact  on 
both  farmers  and  consumers. 

State  Model 

The  national  model  gives  some  indication  of  bath  nationwide  and  state 
changes  when  various  nitrogen  restrictions  are  enforced  only  in  Illinois. 
A  more  detailed  model  (Palmini,  1975),  also  in  linear  programming 
format,  divides  the  state  into  eight  producing  regions  (Figure  3).  The 
state  model  considers  the  amounts  and  kinds  of  livestock  as  variables 


18 BULLETIN  NO.  757 

that  have  the  potential  for  responding  to  nitrogen  fertilizer  control  meth- 
ods. Like  the  national  and  Corn  Belt  models,  the  state  model  is  short 
run,  so  the  technology  used  in  production  does  not  change.  The  three 
models  are  also  similar  in  that  only  the  direct  variable  costs  of  produc- 
tion are  considered;  taxes  and  depreciation  are  excluded. 

The  state  model  differs  from  the  other  two  models  primarily  in  its 
treatment  of  demand.  The  model  assumes  that,  in  a  sense,  the  state  is 
composed  of  eight  large  farms,  one  for  each  region,  and  that  the  price 
of  the  crop  is  not  affected  by  the  quantity  sold  or  the  distance  of  the 
region  from  the  consuming  center.  This  competitive  market  assumption 
is  illustrated  in  Figure  1C.  Because  prices  do  not  change  as  production 
is  reduced  by  nitrogen  fertilizer  restrictions,  the  income  reductions  esti- 
mated in  the  state  model  are  greater  than  they  would  have  been  with  the 
demand  assumptions  in  Figures  1A  or  IB.  Comparisons  of  income  re- 
ductions among  models  is  difficult  because  the  base  periods  and  levels 
of  fertilizer  restriction  are  not  identical. 

Another  feature  of  the  state  model  that  distinguishes  it  from  the 
other  two  is  the  use  of  flexibility  constraints  on  shifts  in  production  of 
crops  and  livestock.  These  constraints  were  established  by  reviewing  past 
year-to-year  shifts  that  farmers  made  in  their  crop  acreages  and  live- 
stock numbers.  The  flexibility  constraints  prevent  drastic  and  unlikely 
shifts  in  production  systems  because  of  established  patterns  of  farming, 
fixed  investments,  and  other  factors. 

The  crop  yield  response  to  nitrogen  fertilizer  is  assumed  to  be  that 
reported  by  the  U.S.  Department  of  Agriculture  (Ibach  and  Adams, 
1968).  Because  the  controls  considered  are  used  only  in  Illinois,  it  is  also 
assumed  that  nitrogen  fertilizer  is  not  smuggled  into  Illinois  from  other 
states. 

We  estimated  the  effects  on  farm  income,  using  nitrogen  restrictions 
of  120,  80,  and  40  pounds  per  acre  (134,  90,  and  45  kg./ha.)  measured 
from  the  bench-mark  application  rate  of  144  pounds  per  acre  ( 161  kg./ 
ha.).  Although  the  effect  of  a  120-pound  limit  was  rather  minor,  the 
effect  of  a  40-pound  limit  was  substantial  (Table  4) . 

Because  clover,  when  grown  as  a  green  manure  crop,  contributes 
nitrogen  to  the  soil,  we  hypothesized  that  its  competitive  position  in  the 
crop  sequence  would  improve  as  a  result  of  controls  on  nitrogen  fertil- 
izer. The  results  of  our  analysis,  presented  in  Table  5,  show  that  the 
clover  acreage  is  the  same  at  the  120-  and  80-pound  levels,  but  nearly 
doubles  when  the  application  rate  is  restricted  to  40  pounds  per  acre 
(Palmini,  1975).  We  concluded  that  the  cost  of  nitrogen  supplied  by 


ECONOMIC  EFFECTS  OF  CONTROLS 19 

Table  4.  —  Losses  in  Illinois  Net  Income  per  Farm  Resulting  From  Per-Acre 
Restrictions  on  Commercial  Nitrogen  Fertilizer  in  Illinois  —  State 
Model 

Nitrogen  restriction 


Losses  in  Illinois 

1201b./A. 
(134  kg./ha.) 

80  Ib./A. 
(90  kg./ha.) 

40  Ib./A. 
(45  kg./ha.) 

Net  income  per  farm   

$92 

$551 

$1,450 

Percent  of  net  farm  income,  1969  

1  4% 

8  7% 

22  9% 

Percent  of  net  farm  household  income, 

1969     0.9% 

5.3% 

14.0% 

Table  5.  —  Effects  on  Corn  Production,  Clover  Acreage,  and  Commercial 
Nitrogen  Fertilizer  Use  Resulting  From  Per-Acre  Nitrogen  Re- 
strictions Imposed  in  Illinois  —  State  Model 


Illinois 

Nitrogen  restriction 

120  Ib./A. 
(134  kg./ha.) 

80  Ib./A. 
(90  kg./ha.) 

40  Ib./A. 
(45  kg./ha.) 

Corn  production 
billion  bushels  

12 

1.0 
25.4 

126,800 
51,400 

374,900 
340,000 

0.8 
20.3 

215,000 
87,000 

156,000 
141,500 

million  metric  tons... 

30  5 

Clover  area 
acres  

.    126,800 

hectares  

51,400 

Nitrogen  use 
short  tons  

618,500 

metric  tons  

561  000 

clover  is  very  high  and  that  this  source  is  not  an  economical  substitute 
for  commercial  nitrogen  fertilizer  until  the  supply  of  commercial  nitro- 
gen is  drastically  curtailed.  In  terms  of  foregone  grain  production,  the 
opportunity  cost  of  land  for  clover  is  simply  too  high  even  if  corn  is 
disadvantaged  by  fertilizer  constraints  at  the  80-pound  level. 


AN  EXCISE  TAX  ON  NITROGEN  FERTILIZER 

A  control  method  that  involves  an  excise  tax  simply  means  that  farm- 
ers who  purchase  commercial  nitrogen  fertilizer  will  be  charged  at  the 
market  price  plus  a  levy  or  excise  tax.  Both  the  national  and  the  state 
(Palmini)  models,  with  a  few  modifications,  were  used  to  examine  the 
economic  consequences  of  such  a  tax. 


20 BULLETIN  NO.  757 

National  Model 

We  analyzed  three  excise  taxes,  namely,  3,  6,  and  12  cents  per  pound 
of  nitrogen  (6.6,  13.2,  and  26.4  cents/kg.).  These  taxes  are  assumed  to 
be  levied  only  in  Illinois.  The  response  of  farmers  to  the  nitrogen  fer- 
tilizer tax  depends  in  part  on  the  relationship  of  crop  yield  to  fertilizer 
application.  Because  yields  increase  at  a  diminishing  rate,  a  given  in- 
crease in  fertilizer  price  with  or  without  a  tax  causes  the  application  rate 
per  acre  to  be  reduced  more  at  high  yield  levels  than  at  low.  Thus,  the 
initial  tax  of  3  cents  per  pound  reduces  the  amount  of  nitrogen  applied 
to  corn  in  Illinois  by  17  percent,  calculated  from  the  bench  mark  (Table 
6),  while  the  second  3  cents  (a  total  of  6  cents)  results  only  in  an  addi- 
tional 8  percent  reduction.  The  highest  tax  considered,  12  cents  per 
pound,  reduces  nitrogen  use  on  corn  by  32  percent. 

The  data,  presented  in  Table  6,  show  the  effects  of  the  taxes  in  Illi- 
nois and  also  the  resulting  changes  in  the  rest  of  the  Corn  Belt.  Even 
the  smallest  of  the  three  taxes  has  an  appreciable  effect.  Illinois  crop 
farmers  suffer  an  immediate  5-percent  decline  in  income,  a  40-percent 
drop  in  fertilizer  applications,  and  a  loss  of  3.1  million  acres  of  corn 
(1.3  million  ha.),  although  this  loss  is  more  than  compensated  for  by 
an  increase  of  4.0  million  acres  of  soybeans  (1.6  million  ha.). 

Table  6.  —  Effects  of  Imposing  an  Excise  Tax  on  Commercial  Nitrogen  Fer- 
tilizer in  Illinois  —  National  Model 


Change 

Excise  tax  on  nitrogen 

3^/lb. 
(6.6^/kg.) 

6*i/lb.               12jl/lb. 
(13.2^/kg.)        (26.4^/kg.) 

Illinois 
Net  income  per  farm*  

-  5  4% 

-  9.6%           -12.3% 
-25.0%           -32.0% 
-40.0%           -60.0% 
-61.0%           -76.0% 

million  acres  (ha.) 
-5.7                 -7.7 
(-2.3)              (-3.1) 
+6.6                 +8.8 
(+2.7)             (+3.6) 

+4.6                 +6.0 
(  +  1.9)              (+2.4) 
-5.7                 -7.8 
(-2.3)              (-3.2) 

Nitrogen  on  unit  area  of  corn  .  . 

—  17  0% 

Nitrogen  on  unit  area  of  wheat  .  .  . 

—  29  0% 

Total  nitrogen  used  

.    -40  0% 

Corn  

-3.1 

Soybeans  

(-1.3) 
+40 

Rest  of  Corn  Belt" 
Corn  

(  +  1.6) 
+2.3 

Soybeans  

(+0.9) 
—4.5 

(-1.8) 

a  Income  derived  from  corn,  soybeans,  wheat,  and  oats. 
b  Indiana,  Iowa,  Missouri,  and  Ohio. 


ECONOMIC  EFFECTS  OF  CONTROLS 21 

The  crop  acreage  changes  in  the  rest  of  the  Corn  Belt  ( Indiana,  Iowa, 
Missouri,  and  Ohio)  are  also  of  interest.  With  an  Illinois  tax  of  3  cents, 
the  Corn  Belt  exclusive  of  Illinois  increases  corn  acreage  by  2.3  million 
acres  (0.9  million  ha.)  when  Illinois  decreases  its  acreage  by  3.1  mil- 
lion acres  (1.3  million  ha.).  The  net  result  is  that  the  Corn  Belt  loses 
800,000  acres  of  corn  (324,000  ha.).  This  shift  means  that  part  of  the 
feed  grain  requirement  must  be  met  from  production  outside  of  the  Corn 
Belt.  In  terms  of  total  corn  and  soybean  acreage,  Illinois  would  seem  to 
gain  by  the  tax,  because  its  soybean  acreage  increases  4.0  million  acres 
(1.6  million  ha.)  at  3  cents  and  8.8  million  acres  (3.6  million  ha.)  at  12 
cents,  while  the  state  loses  only  3.1  and  7.7  million  acres  of  corn  (1.3 
and  3.1  million  ha.)  at  the  two  extreme  tax  levels. 

State  Model 

The  state  model  examines  excise  taxes  of  3,  9,  and  15  cents  per 
pound  of  nitrogen  (6.6,  19.8,  and  33.1  cents/kg.)  imposed  on  nitrogen 
fertilizer  in  Illinois.  For  this  investigation  we  used  the  same  eight  pro- 
ducing regions  outlined  in  Figure  3,  with  each  region  selling  in  a  com- 
petitive market  where  the  crop  price  is  not  affected  by  the  quantity  sold. 
The  consequences  of  these  taxes  are  presented  in  Table  7. 

Enactment  of  a  3-cent  excise  tax  in  Illinois  reduces  net  farm  income 
about  6  percent,  compared  with  the  slightly  smaller  reduction  of  5.4 
percent  in  the  national  model  (Table  6).  A  3-cent  tax  only  in  Illinois 
reduces  the  total  nitrogen  fertilizer  used  in  the  state  by  40  percent  in 
the  national  model  but  by  only  18  percent  in  the  state  model.  Again,  the 
difference  in  demand  assumptions  plays  an  important  role. 


Table  7 .  —  Effects  of  Imposing  an  Excise  Tax  on  Commercial  Nitrogen  Fer- 
tilizer in  Illinois  —  State  Model 


Excise  tax  on  nitrogen 

Change  in  Illinois 

3t/lb. 
(6.6^/kg.) 

9^/lb. 
(19.8,f/kg.) 

15jf/lb. 
(33.M/kg.) 

Net  income  per  farm 

-6% 

-16% 
-33% 

-681,000 
-276,000 

+535,000 
+  217,000 

-23% 
-43% 

-833,000 
-337,000 

+535,000 
+217,000 

Total  nitrogen  used  

-18% 

Corn  area 
acres 

+5,  000s 

hectares  

+2,000 

Soybean  area 
acres  

.    -4,000 

hectares  

-2,000 

•  Rounded  to  nearest  thousand  acres  and  hectares. 


22 BULLETIN  NO.  757 

In  the  national  model  a  fixed  quantity  of  feed  grains  is  required  na- 
tionwide. Areas  outside  of  Illinois  can  be  used  to  produce  this  quantity, 
permitting  Illinois  to  reduce  its  corn  acreage  and  hence  its  use  of  nitro- 
gen fertilizer.  In  the  state  model  a  3-cent  tax  actually  increases  corn 
acreage  slightly,  by  5,000  acres,  or  less  than  one-half  of  1  percent.  How- 
ever, these  acres  are  needed  for  corn  silage  to  make  minor  adjustments 
in  livestock  systems.  At  the  higher  tax  levels  corn  acreage  decreases  and 
soybean  acreage  increases.  Although  data  are  not  included  in  Table  7, 
small  grain  acreages  were  also  involved  in  the  changes  in  cropping 
patterns. 


A  MARKET  FOR  RIGHTS  TO  USE  NITROGEN  FERTILIZER 

The  concept  of  a  market  for  rights  to  purchase  commercial  nitrogen 
is  basically  simple,  although  the  operational  details  may  be  complex.  On 
the  basis  of  the  water  quality  standard  specified  for  the  year,  a  public 
agency,  such  as  the  Illinois  Environmental  Protection  Agency,  decides 
how  much  nitrogen  fertilizer  is  to  be  used  that  year.  In  the  form  of 
coupons  or  certificates  issued  annually,  rights  to  purchase  a  given  quan- 
tity of  fertilizer  are  sold  on  the  open  market,  with  purchasers  bidding 
for  these  rights.  The  procedure  might  start  with  the  agency  asking  a 
representative  sample  of  users  to  indicate  the  quantity  they  would  order 
at  various  prices.  With  this  information  the  agency  can  then  decide  what 
price  to  set  to  ensure  that  approximately  the  number  of  rights  the  agency 
wants  to  issue  will  be  sold. 

After  the  initial  disposition  of  rights  by  the  agency,  individual  users 
can  buy  and  sell  rights  among  themselves  and  to  nonusers.  Nonusers, 
such  as  environmental  groups,  can  influence  the  amount  of  fertilizer  used 
by  trying  to  change  the  number  of  rights  through  the  political  system  or 
by  buying  rights  and  then  not  using  them.  The  discussion  that  follows 
assumes  that  nonusers  do  not  purchase  any  rights. 

National  Model 

Using  the  national  model,  we  examined  the  effects  of  imposing  rights 
for  five  different  quantities  of  nitrogen  in  Illinois  only.  These  five  quan- 
tities, namely,  864,  519,  336,  224,  and  198  thousand  short  tons  (784,  471, 
305,  203,  and  180  thousand  metric  tons),  were  selected  to  correspond  to 
the  assumed  decline  in  the  amount  of  nitrogen  used  when  excise  taxes  of 
3,  6,  9,  and  12  cents  per  pound  are  imposed  (6.6,  13.2,  19.8,  and  26.4 


ECONOMIC  EFFECTS  OF  CONTROLS 23 

Table  8.  —  Regional  Crop  Acreages  Resulting  From  a  Market  for  Commer- 
cial Nitrogen  Fertilizer  Rights  Imposed  in  Illinois  —  National 
Model 

Quantity  of  rights,  1,000  short  tons  (metric  tons) 


Crop  and  region 

864 
(784) 

519 

(471) 

336 

(305) 

224 
(203) 

198 
(180) 

,-.  •  ,  million  acres  (ha.) 

Corn,  gram  sorghum 


Illinois  

11.4 

8.4 

5.7 

3.9 

3.7 

(4.6) 

(3.4) 

(2.3) 

(1.6) 

(1.5) 

Other  Corn  Belt  states8 

18.7 

21.0 

23.3 

24.9 

24.8 

(7.6) 

(8.5) 

(9.4) 

(10.1) 

(10.0) 

Rest  of  U.S  

37.5 

40.1 

41.4 

41.5 

41.4 

(15.2) 

(16.2) 

(16.8) 

(16.8) 

(16.8) 

Total  

67.6 

69.5 

70.4 

70.3 

69.9 

(27.4) 

(28.1) 

(28.5) 

(28.5) 

(28.3) 

Small  grains 

Illinois  

4.3 

3.4 

3.4 

3.4 

3.5 

(1.7) 

(1.4) 

(1.4) 

(1.4) 

(1.4) 

Other  Corn  Belt  states8  

7.9 

8.0 

9.3 

10.7 

11.2 

(3.2) 

(3.2) 

(3.8) 

(4.3) 

(4.5) 

Rest  of  U.S  

95.4 

96.4 

95.2 

97.8 

98.5 

(38.6) 

(39.0) 

(38.5) 

(39.6) 

(39.9) 

Total  

107.6 

107.8 

107.9 

111.9 

113.2 

(43.5) 

(43.7) 

(43.7) 

(45.3) 

(45.8) 

Soybeans 

Illinois  

3.2 

7.2 

9.8 

11.8 

12.0 

(1.3) 

(2.9) 

(4.0) 

(4.8) 

(4.9) 

Other  Corn  Belt  states8  

16.9 

14.6 

11.2 

9.0 

9.1 

(6.9) 

(5.9) 

(4.5) 

(3.6) 

(3-7) 

Rest  of  U.S  

19.6 

16.8 

17.0 

16.2 

15.8 

(7.9) 

(6.8) 

(6.9) 

(6.6) 

(6.4) 

Total  

39.7 

38.6 

38.0 

37.0 

36.9 

(16.1) 

(15.6) 

(15.4) 

(15.0) 

(14.9) 

8  Indiana,  Iowa,  Missouri 

,  and  Ohio. 

cents/kg.).  In  Illinois  864,000  short  tons  is  the  bench-mark  figure  for 
use  of  nitrogen  fertilizer  with  no  restriction  or  excise  tax  on  nitrogen. 
The  analysis  involved  determining  the  acreage  changes  that  would  occur 
in  Illinois,  in  the  other  Corn  Belt  states  (Indiana,  Iowa,  Missouri,  and 
Ohio),  and  in  those  states  outside  of  the  Corn  Belt.  Table  8  presents  the 
corn  and  grain  sorghum,  small  grain,  and  soybean  acreages  for  the  five 
nitrogen  levels.  The  results  underline  the  national  acreage  redistribution 
that  occurs  when  a  control  method  is  introduced  in  only  one  state.  Al- 
though the  precise  changes  in  the  various  regions  are  determined  by  the 
interdependent  relationships  in  the  model,  several  general  trends  may 
be  noted. 


24  —  BULLETIN  NO.  757 
CHANGES  IN  ACREAGES 

As  might  be  expected,  the  imposition  of  a  market  for  nitrogen  fer- 
tilizer rights  in  Illinois  disadvantages  that  state  in  corn  and  sorghum 
production.  For  the  smallest  quantity  of  rights,  198,000  short  tons,  the 
acreage  of  these  crops  in  Illinois  drops  by  about  two-thirds,  from  11.4  to 
3.7  million  acres  (4.6  to  1.5  million  ha.).  Because  a  fixed  quantity  of 
corn  and  sorghum  must  be  produced  nationally,  increases  in  acreages  of 
these  crops  occur  both  in  the  other  Corn  Belt  states  (an  added  6.1  mil- 
lion acres  or  2.4  million  ha.)  and  in  states  outside  of  the  Corn  Belt  (an 
added  3.9  million  acres  or  1.6  million  ha.).  Note  that  as  a  result  of  a 
market  for  rights  in  Illinois,  a  total  of  2.3  million  additional  acres  (0.9 
million  ha.)  are  needed  nationally  to  produce  the  required  corn  and 
sorghum,  that  is,  69.9  versus  67.6  million  acres. 

In  addition  to  the  shifts  in  location  of  corn  and  sorghum  production, 
small  grain  acreages  in  the  various  regions  also  change.  The  pattern  for 
small  grains  parallels  that  for  corn  and  sorghum  —  a  decrease  in  Illinois 
and  an  increase  outside  of  Illinois.  However,  the  shifts  are  not  as  dra- 
matic as  those  for  corn  and  sorghum,  because  on  a  national  scale  Illinois' 
small  grain  production  is  of  less  importance  than  its  corn  and  sorghum. 
Also,  small  grain  crops  are  not  affected  as  much  by  the  restrictions  on 
available  nitrogen  fertilizer.  As  in  the  case  of  corn  and  sorghum,  more 
total  acres  are  required  to  meet  the  national  needs  for  small  grain.  At 
the  most  restricted  level  of  rights,  5.6  million  additional  acres  (2.3  mil- 
lion ha.)  would  be  required,  that  is,  113.2  versus  107.6  million  acres. 

The  location  of  soybean  production  is  changed  substantially  by  the 
market  for  rights  in  Illinois.  In  general,  the  shifts  are  in  the  opposite 
direction  of  those  for  the  other  crops  considered.  With  the  smallest  quan- 
tity of  rights,  soybean  acreage  in  Illinois  increases  almost  fourfold,  from 
3.2  to  12.0  million  acres  (1.3  to  4.9  million  ha.).  This  increase  is  accom- 
panied by  a  reduction  in  the  other  states  within  the  Corn  Belt  and  outside 
of  the  Corn  Belt.  Because  Illinois  soybean  yields  are  higher  than  the 
yields  in  other  states,  2.8  million  fewer  acres  (1.2  million  ha.)  are  needed 
nationally  to  meet  the  demand  than  when  there  is  no  market  for  rights. 

CHANGES  IN  YIELDS,  COSTS,  AND  INCOME 

All  of  the  changes  discussed  above  are  of  course  solely  redistributions 
within  producing  regions.  The  changes  indicate  nothing  about  how  yields 
are  affected,  although  it  is  reasonable  to  assume  that  corn  and  sorghum 
yields  will  decrease  as  these  crops  leave  the  Corn  Belt.  Less  productive 
land  will  be  used  to  meet  the  demand,  thereby  increasing  the  cost  of  pro- 
duction per  bushel  (Table  9).  An  8-percent  cost  increase  occurs  as  we 


ECONOMIC  EFFECTS  OF  CONTROLS  —  25 


Table  9.  —  Costs  of  Producing  Selected  Crops  Under  a  Market  for  Commer- 
cial Nitrogen   Fertilizer   Rights   Imposed   in    Illinois  —  National 


Model* 


Crop 

Quantity  of  rights, 

1,000  short  tons  (metric  tons) 

864 

(784) 

519 

(471) 

336 

(305) 

224 
(203) 

198 

(180) 

Corn 
per  bushel  

$     1  23 

$     1.25 
$  49.22 
102 

$    3.04 
$111.72 
100 

$     1.38 
$  50.72 
101 

$        .61 
$  43.04 
98 

$     1.27 
$  50.01 
103 

$     3.05 
$112.09 
100 

$     1.40 
$  51.45 
103 

$        .60 
$  42.34 
97 

$     1.30 
$  51.19 
106 

$     3.04 
$111.72 
100 

$     1.42 
$  52.19 
104 

$       .59 
$  41.63 
95 

$     1.33 
$  52.37 
108 

$    3.05 
$112.09 
100 

$     1.45 
$  53.29 
107 

$       .60 
$  42.34 
97 

per  metric  ton  . 

$  48  43 

Index  .  . 

100b 

Soybeans 
per  bushel  

$    3  05 

per  metric  ton  

$112  09 

Index  

.      .  .            100 

Wheat 
per  bushel  

$     1  36 

per  metric  ton  . 

$  49  98 

Index 

100 

Oats 
per  bushel  

$        62 

per  metric  ton  

.      .         $  43  75 

Index  

100 

*  All  costs  are  for  the  1969-71  base  period,  and  are  based  in  part  on  the  opportu- 
nity costs  of  the  model.  Opportunity  costs  represent  net  income  foregone  in  order  to 
increase  the  production  of  a  given  crop  by  1  bushel. 

b  Base  price  corresponding  to  a  quantity  of  rights  equal  to  864,000  short  tons 
(784,000  metric  tons). 


go  to  the  smallest  quantity  of  rights.  In  the  long  run,  the  increased  costs 
must  be  covered  by  the  price  of  these  grains.  Soybean  costs  are  not 
affected,  but  wheat,  because  of  its  high  nitrogen  requirement,  follows 
roughly  the  same  pattern  as  corn.  The  cost  of  producing  oats,  a  rather 
minor  crop,  is  lowered  slightly.  Apparently  in  the  process  of  rearrange- 
ment, oats  become  more  favorably  located  with  respect  to  the  cost  of 
production. 

Production  costs,  and  hence  price  increases,  are  the  most  obvious  for 
corn  and  wheat  because  they  require  more  intensive  nitrogen  application 
than  any  other  crops.  Price  changes  for  output  are  reflected  in  farm  in- 
come changes.  The  1969  Census  of  Agriculture  estimated  that  those  Illi- 
nois farms  producing  only  corn,  wheat,  soybeans,  and  oats  earned  an 
average  of  $6,327  annually.  With  the  quantity  of  rights  set  at  519,000 
short  tons,  this  income  would  decline  6  percent;  at  198,000  tons  it  would 
be  reduced  by  12  percent.  Even  though  the  price  of  corn  and  wheat  rises, 
the  increase  is  insufficient  to  offset  the  smaller  acreages  of  these  crops 
in  Illinois. 


26 BULLETIN  NO.  757 

RESTRICTIONS  ON  NITRATE  CONCENTRATION 
IN  GROUNDWATER  BELOW  THE  ROOT  ZONE 

If  all  of  the  nitrogen  fertilizer  applied  were  to  be  taken  up  by  the 
crop,  the  agricultural  use  of  nitrogen  would  not  affect  the  nitrate  con- 
centration of  water  in  the  soil.  In  reality,  a  certain  amount  of  nitrogen 
inevitably  leaches  into  the  soil  and  groundwater  below  the  root  zone  of 
the  plants.  In  this  phase  of  our  investigation  we  analyzed  the  effects  of 
varying  the  allowable  level  of  nitrate  concentration  below  the  root  zone. 
Of  particular  interest  are  the  effects  that  this  control  method  would  have 
on  cropping  systems,  management  practices,  and  farm  income.  We  asked 
the  question:  If  farmers  were  required  to  meet  various  standards  for 
nitrate  concentration,  what  would  be  the  best  cropping  systems  and  man- 
agement practices  for  maximizing  net  farm  income  excluding  land  costs  ? 
We  also  examined  the  results  of  measures  taken  to  control  soil  erosion 
and  sedimentation,  although  these  problems  are  not  central  to  the  study. 
Because  the  choice  of  crops  and  management  practices  also  affects  soil 
erosion,  we  briefly  considered  these  interactions  by  simultaneously  put- 
ting certain  restrictions  on  both  nitrate  concentration  and  sedimentation. 

Watershed  Model 

Using  a  linear  programming  model  developed  for  a  watershed 
(Onishi,  1973;  Onishi  et  al,  1974;  Onishi  and  Swanson,  1974),  we 
studied  the  Forest  Glen  watershed  near  Danville,  Illinois.  This  watershed 
contains  1,200  acres  (486  ha.),  about  two-thirds  of  which  are  considered 
suitable  for  crops.  The  area  is  of  practical  interest  because  it  has  been 
proposed  that  a  reservoir  be  constructed  nearby  at  the  head  of  a  tributary 
of  the  Vermilion  River  and  that  public  recreation  facilities  be  provided. 
Water  quality  standards  would  be  a  major  consideration  for  such  a  fa- 
cility. The  cropland  in  this  area  is  classified  into  tracts  by  ownership  of 
land,  type  of  soil,  slope  length  and  gradient,  and  elevation  above  the  sur- 
face of  the  proposed  reservoir.  Four  different  elevations  were  taken  into 
account,  because  the  distance  from  the  initial  erosion  affects  the  amount 
of  sediment  entering  the  reservoir. 

The  goal  of  an  assumed  five-year  planning  period  is  to  maximize 
net  farm  income.  There  are  three  constraints  on  maximizing  income: 
( 1 )  acreages  of  different  types  of  land  available  for  particular  crops  for 
each  of  the  five  years,  (2)  the  allowable  nitrate  concentration  in  the 
leachate  below  the  root  zone,  and  (3)  the  amount  of  sediment  entering 
the  reservoir.  Alternative  cropping  systems  (crop  combinations,  tillage 


ECONOMIC  EFFECTS  OF  CONTROLS  —  27 

methods,  and  nitrogen  fertilizer  levels)  are  taken  into  account  for  sixty- 
three  separate  tracts  for  each  of  the  five  years.  The  land  availability  con- 
straint provides  a  way  to  make  sure  that  acreages  for  all  crops  and  land 
left  idle  equal  the  total  area  available  for  the  various  tract  classifications. 

Three  basic  assumptions  were  made  with  respect  to  cropping  systems 
and  management  practices.  First,  the  nineteen  farmers  in  the  watershed 
concentrate  on  cropping  operations  with  no  livestock  enterprises.  Sec- 
ond, any  one  of  three  tillage  methods  can  be  used  for  corn  grown  on  the 
same  land  year  after  year:  conventional,  plow-plant,  and  chisel  plow. 
However,  only  the  conventional  method  is  used  for  the  following  rota- 
tions involving  corn  (C),  soybeans  (S),  wheat  (W),  wheat  with  alfalfa 
as  a  catch  crop  (Wx),  and  alfalfa  meadow  (M):  C-C-S-WX,  C-S-WX, 
and  C-S-W-M.  Finally,  nitrogen  applications  of  50,  100,  and  140  pounds 
per  acre  (56,  112,  and  157  kg./ha.)  are  available  for  consecutive  plant- 
ings of  corn.  Rate  adjustments  are  made  for  corn  in  the  rotations  to 
allow  for  the  nitrogen  furnished  by  the  legumes  (soybeans  and  alfalfa). 

The  universal  soil  loss  equation  (Wischmeier  and  Smith,  1965)  and 
a  sediment-yield  ratio  equation  based  on  drainage  areas  (Roehl,  1962) 
were  used  to  calculate  sediment  coefficients.  To  estimate  the  amount  of 
sediment  entering  the  reservoir,  the  gross  erosion  predicted  for  each 
cropping  system  was  adjusted  by  sediment-yield  ratios. 

An  equation  for  the  potential  nitrate-nitrogen  (NO3-N)  concentra- 
tion in  water  leaching  below  the  root  zone  was  developed  by  Stout  and 
Burau  (1967).  In  this  equation,  corn  fertilized  at  the  rate  of  100  pounds 
or  less  of  nitrogen  per  acre  does  not  release  any  nitrogen  into  ground- 
water  because  the  nitrogen  uptake  by  the  grain  portion  of  the  corn  is 
greater  than  the  amount  of  nitrogen  supplied.  Theoretically,  no  nitrogen 
leaches  into  groundwater  because  the  equation  assumes  an  equilibrium 
between  nitrogen  application  and  uptake;  in  reality,  some  nitrogen  is 
released  in  the  leachate  even  at  the  lower  rates.  Accordingly,  we  made 
an  adjustment  in  the  equation  by  assuming  that  the  amount  of  nitrogen 
available  in  a  given  area  for  a  crop  is  the  sum  of  the  amount  applied 
plus  the  amount  already  in  the  soil.  The  amount  already  in  the  soil  is 
estimated  by  calculating  the  nitrogen  taken  up  by  the  crop  if  no  nitrogen 
fertilizer  is  applied.  The  total  amount  of  nitrogen  thus  calculated  was 
inserted  in  the  Stout-Burau  equation  to  estimate  the  potential  NO3-N 
concentration  in  the  leachate  below  the  root  zone. 

SEDIMENT  CONTROL  MEASURES 

On  the  basis  of  selected  sediment  control  measures,  we  analyzed  two 
groups  of  problems.  The  first  group  requires  complete  dredging  of  the 


28  —  BULLETIN  NO.  757 


$60,000 


g     50,000 
I     40,000 

£ 

o     30,000 

3 
C 

<     20,000 
o> 

S     10,000 

I 


Case  B 


\ 


Case  A 


10  20  30  40  50  60  70 

Potential  N03-N  Concentration,  mg./liter 


80 


Figure  5.  Effect  on  net  farm  income  when  potential  NO3-N  is  restricted  in 
leachate  below  the  root  zone.  Case  A:  Charges  made  for  dredging  all  sedi- 
ment from  reservoir.  Case  B:  Charges  made  for  dredging  sediment  in  excess 
of  8,498  short  tons  (7,711  metric  tons)  accumulated  over  five  years. 


reservoir,  with  the  farmers  bearing  the  cost.  In  this  case  there  is  no 
upper  limit  on  sedimentation  in  the  reservoir.  The  second  group  of  prob- 
lems sets  an  upper  limit  of  8,498  short  tons  of  sediment  (7,711  metric 
tons)  accumulated  over  the  five-year  period.  Dredging  is  required  for 
any  sediment  above  this  limit,  with  the  farmers  bearing  the  cost.  It  is 
estimated  that  sediment  accumulating  at  this  rate  would  fill  half  of  the 
proposed  reservoir  in  three  hundred  years.  For  each  of  these  two  groups 
we  assumed  three  situations  for  potential  NO3-N  concentration  in  sedi- 
ment: upper  limits  of  10  and  20  milligrams  per  liter,  and  no  upper  limit. 

CHANGES  IN  INCOME 

Several  general  patterns  emerge  when  crop  production  is  constrained 
by  dredging  charges  for  sediment  released  into  the  reservoir  and  at  the 
same  time  by  placing  limits  on  potential  NO3-N  in  the  leachate  below  the 
root  zone  ( Figure  5 ) .  In  this  figure  the  curve  rises  from  left  to  right  as 
the  allowable  nitrate  concentration  in  the  root  zone  increases.  Conversely, 
as  the  restriction  on  this  concentration  is  tightened,  the  curve  descends 
from  right  to  left,  quite  rapidly  when  the  level  is  reduced  from  20  to  10 
milligrams  per  liter.  In  terms  of  income,  farmers  lose  more  when  they 
are  required  to  pay  for  dredging  all  of  the  sediment  from  the  reservoir 
(case  A)  than  when  charged  for  dredging  only  the  sediment  above  the 
8,498-ton  limit  (case  B).  However,  in  both  cases  A  and  B  the  rates  of 
income  reduction  increase  as  nitrate  restrictions  are  tightened. 


ECONOMIC  EFFECTS  OF  CONTROLS 29 

A  TOTAL-FARM  NITROGEN  BALANCE 

Because  crops  do  not  absorb  all  of  the  nitrogen  fertilizer  applied,  the 
amount  remaining  in  the  soil  becomes  a  potential  source  of  water  con- 
tamination. A  surplus  of  residual  nitrogen  produces  a  positive  balance, 
while  a  deficit  produces  a  negative  balance.  This  section  examines  how 
this  balance  is  affected  when  restrictions  are  put  on  the  total  amount 
of  commercial  nitrogen  fertilizer  available  to  individual  farms.  With 
his  given  allotment  of  nitrogen  fertilizer,  the  farmer  is  free  to  choose 
the  cropping  system  and  fertilizer  rates  that  will  maximize  his  farm  in- 
come above  direct  costs.  We  have  varied  the  size  of  the  allotment  in 
order  to  examine  the  effects  of  such  a  control  program  on  the  nitrogen 
balance  and  farm  income. 

Farm  Model 

To  estimate  the  average  annual  farm  income  above  direct  costs,  we 
used  a  five-year  linear  programming  model  for  an  Illinois  farm  of  293 
acres  (119  ha.),  which  is  the  average  size  for  Champaign  County.  Al- 
though this  is  a  cash-grain  farm,  the  analysis  can  be  extended  to  a  grain 
and  livestock  farm.  We  developed  an  accounting  procedure  for  deter- 
mining the  nitrogen  balance.  A  detailed  discussion  of  the  method  and 
results  is  presented  in  Walker  (1974).  The  nitrogen  accounts  recognize 
two  sources  of  nitrogen,  namely,  commercial  nitrogen  fertilizer  and 
legume  crops  (soybeans,  alfalfa,  and  clover).  The  nitrogen  from  these 
two  sources  either  remains  on  the  farm  or  is  removed  in  harvested  crops. 
The  balance  is  positive  if  the  sum  of  the  two  sources  is  greater  than  the 
amount  removed  in  harvested  crops,  and  negative  if  the  sum  is  less. 
Nitrate  pollution  of  water  becomes  more  likely  as  the  nitrogen  balance 
becomes  increasingly  positive. 

The  model  activities  are  production,  purchasing,  marketing,  and  finan- 
cial management.  Crop  production  encompasses  corn,  soybeans,  wheat, 
alfalfa,  and  sweet  clover,  each  of  which  is  produced  by  different  methods 
and  in  different  rotations.  Purchasing  and  marketing  activities  include 
buying  inputs  and  selling  farm  outputs,  with  all  grain  being  sold  at  har- 
vest. Financial  management  includes  credit,  debt,  and  investment  or  loan 
management.  These  financial  activities  run  on  an  annual  basis  for  the 
entire  five-year  planning  period. 

The  resource  constraints  are  land,  labor,  and  capital.  Land  is  con- 
sidered homogeneous.  The  number  of  acres  remains  constant  because  no 
land  is  purchased  or  sold.  The  constraint  on  labor  is  the  amount  of  labor 


30 BULLETIN  NO.  757 

available  in  each  month  of  the  year.  Capital  is  limited  to  operating  ex- 
penses only;  no  long-term  investment  credit  is  considered. 

The  solutions  for  the  model  give  the  nitrogen  balance,  farm  income, 
and  optimal  cropping  systems  for  each  of  the  commercial  nitrogen  fer- 
tilizer allotments.  These  allotments,  established  by  a  regulatory  agency, 
are  the  amounts  that  the  farmer  may  purchase  each  year.  The  five  levels 
considered  available  for  this  293-acre  farm  are  as  follows : 

Total- farm  Per  unit  area 


jLevei 
I... 

short  ton 
.    .           0 

metric  ton 

o 

Ib./acre 

o 

kg./ha. 
0 

II... 

.  .  .  .      7.33 

665 

50 

56 

Ill  

14.65 

13.29 

100 

112 

IV.  . 

21  98 

1994 

150 

168 

V.. 

.29.30 

26.58 

200 

224 

At  each  of  these  five  allotment  levels  the  resulting  nitrogen  balances 
for  the  entire  farm  range  from  —11.59  short  tons  (  —  10.52  metric  tons), 
when  no  commercial  nitrogen  fertilizer  is  allowed  and  only  corn  is  grown, 
to  8.54  short  tons  (7.75  metric  tons),  when  commercial  nitrogen  is,  for 
all  practical  purposes,  unlimited  and  hence  not  an  effective  constraint  on 
the  choice  of  cropping  systems  and  fertilizer  practices. 

OPTIMAL  CROPPING  SYSTEMS 

Table  10  presents  the  optimal  cropping  systems  resulting  from  each 
fertilizer  allotment  combined  with  the  given  nitrogen  balance.  Various 
cropping  systems  are  possible  in  this  model.  For  example,  40  percent 
of  the  farm  can  be  planted  to  corn  and  60  percent  to  soybeans.  The 
following  year  these  two  crops  are  rotated,  and  so  on  throughout  the 
five-year  planning  period.  Crops  in  the  possible  systems  are  corn-C, 
soybeans-S,  wheat  with  a  meadow  catch  crop-W(M),  and  legume 
meadow-M. 

With  a  commercial  nitrogen  fertilizer  allotment  of  zero  (level  I), 
the  optimal  cropping  system  begins  with  100  percent  of  the  farm  acreage 
being  planted  to  continuous  corn  (only  corn  planted  year  after  year) 
and  shifts  to  continuous  soybeans  at  the  zero  point  on  the  nitrogen  bal- 
ance scale  (Table  10).  As  the  crop  combination  shifts  to  20%  Ci50(i68), 
60%  S,  20%  M,  the  nitrogen  balance  becomes  positive.  Note  that  even 
though  no  commercial  nitrogen  is  available,  the  nitrogen  use  rate  for 
this  crop  combination,  as  indicated  by  the  subscript,  is  150  pounds  per 
acre  because  of  the  nitrogen  contributed  by  the  legume  meadow. 


ECONOMIC  EFFECTS  OF  CONTROLS 31 

CHANGES  IN  INCOME  AND  NITROGEN  BALANCE 

At  level  I  the  cropping  system  that  produces  the  highest  income  witli 
no  commercial  nitrogen  used  is  continuous  soybeans  (Table  11).  Weed, 
disease,  and  insect  problems,  however,  may  occur  with  this  cropping  sys- 
tem. At  level  III  with  a  total-farm  fertilizer  allotment  of  14.65  short  tons, 
the  highest  income  occurs  when  there  is  a  positive  nitrogen  balance  of 
2.5  short  tons.  The  cropping  system  that  maximizes  income  at  this  allot- 
ment level  is  60%  Ci65(185),  40%  S.  At  the  highest  level,  29.30  short  tons 


Tcrb/e  70.  —  Optimal  Crop  Comb/naf/ons  and  Total-Farm  Nitrogen  Balances  for  Various 
Commercial  Nitrogen  Fertilizer  Allotments,  293-Acre  Cash-Grain  Farm, 
Champaign  Counfy,  Illinois 


Nitrogen 
balance, 
short  tons 
(metric  tons) 

Total-farm  fertilizer  allotment,  short  tons  (metric  tons),  levels  I-V 

I 
0 

II 

7.33 
(6.65) 

III 

14.65 

(13.29) 

IV 
21.97 
(19.94) 

V 
29.30 

(26.58) 

-11  59.. 

Cn/ffi* 

Co(0) 
Ci9(21) 
C49(55) 

80%  Ce,(7« 
20%  S 

60%  C88(96) 

40%  S 

40%  Cl29<144) 

60%  S 

25%  C200(224) 

75  %S 

25  %  C200(224) 

50%  S 

25%W6o(67)(M) 

30%  C200(224) 

10%  S 

30%W60(67)(M) 

30%  M 

30%  C200(224) 

20%  S 

10%  WoO(67)(M) 

40%  M 

Co(0) 
Cl9(21) 
C48(64) 
C?8(87) 
90%  Cl05(118) 

10%  S 

80%  Ci29(144) 

20%  S 

60%  CiS5(186) 

40%  S 

50%  C200(224) 

40%  S 

10%W60(67)(M) 
50%  C200(224) 

20%  S 

20%W60(67)(M) 

10%  M 

60%  C2IW224) 

10%  S 

10%  W60(67)(M) 

20%  M 

Co(o) 

Cl9(21) 
C48(64) 
C78(87) 
Ci06(ll«) 
Cl29(144) 
Cl62(170) 

83%  Cl79(200) 

17%  S 

80%  C200(224) 

10%  S 

10%  W60(67)(M) 
80%  C200(224) 

5%S 

15%W60(67)(M) 

Co(0) 
Cl9(21) 
C48(64) 
C78(87) 
Cl06(119) 
Cl29(144) 
Cl52(170) 

Cl72(193) 
ClJ2f215) 

C200(224) 

(-10.52) 
—  10  00 

90%  Co<o> 

(-9.07) 
-7.50  

10%  S 

.   60%  Coco 

(-8.40) 
-5  00.    .  .    . 

40%  S 
.  40%  C0(o) 

(-4.54) 
-2.50  

60%  S 

,  .   20%  Coco) 

(-2.27) 
0  

80%  S 
S 

2.50.  . 

(2.27) 
5.00.  . 

60%  S 
20%  M 

(9.07) 
7.50  

25  %S 
50%  M 

.    No  solution 

(8.40) 
8.54.. 

possible 
.    No  solution 

(7.75) 

possible 

a  Crops  in  the  possible  systems  are  corn  -  C,  soybeans  -  S,  wheat  with  a  meadow  catch 
crop-W(M),  and  legume  meadow -M.  Subscripts  indicate  the  total  legume  and  commercial 
nitrogen  rate  in  Ib./A.  (kg./ha.).  When  soybeans  or  corn  alone  is  the  optimal  crop,  100%  is 
understood. 


32 BULLETIN  NO.  757 

Table  11.  —  Crop  Comb/naf/ons  and  Nitrogen  Balances  That  Maximize  In- 
come for  Total-Farm  Commercial  Nitrogen  Fertilizer  Allotments, 
293-Acre  Cash-Grain  Farm,  Champaign  County,  Illinois 

Total-farm  fertilizer  allotment, 
short  tons  (metric  tons),  levels  I-V 


I 
0 

II 

7.33 
(6.65) 

III 
14.65 
(13.29) 

IV 
21.97 
(19.94) 

V 

29.30 
(26.58) 

Crop  or  crop 
combination 

Sa 

40%  Ci2»(144) 

60%  Ci«iU8i' 

Farm  income  above 
direct  costs  

$26,617 

60%  S 
$28,378 

40%  S 
$30,447 

$32,436 

$34,025 

Nitrogen  balance,  short 
tons  (metric  tons)  .  .  . 

0 

0 

2.50 
(2.27) 

2.50 

(2.27) 

8.54 
(7.75) 

•  Crops  in  the  optimal  systems  are  corn  -  C  and  soybeans  -  S.  Subscripts  indicate 
the  total  legume  and  commercial  nitrogen  rate  in  Ib./A.  (kg./ha.).  When  soybeans  or 
corn  alone  is  the  optimal  crop,  100%  is  understood. 


(level  V),  the  allotment  is  completely  used  when  the  nitrogen  balance  is 
8.54  short  tons.  The  cropping  system  here  is  100%  C2oo<224),  that  is,  con- 
tinuous corn  with  the  nitrogen  application  rate  increasing  up  to  200 
pounds  per  acre.  Both  farm  income  and  the  nitrogen  balance  are  at  their 
highest  when  the  fertilizer  allotment  is  completely  used. 

Using  Table  11,  we  can  compare  the  effects  on  net  farm  income, 
nitrogen  balance,  and  optimal  cropping  systems  for  each  commercial 
nitrogen  fertilizer  allotment.  Comparison  of  the  nitrogen  balance  and 
income  permits  us  to  assess  public  gains  in  terms  of  reduction  in  the 
nitrogen  balance  and  private  losses  to  farmers.  Because  solutions  for 
the  farm  model  were  obtained  by  establishing  both  a  nitrogen  fertilizer 
allotment  and  a  nitrogen  balance  at  intervals  of  2.5  short  tons,  the  opti- 
mal cropping  systems  are  approximations;  the  exact  solutions  fall  be- 
tween the  arbitrarily  chosen  levels  of  the  nitrogen  balance. 

By  comparing  the  change  between  levels  V  and  IV  with  the  change 
between  levels  III  and  II,  we  can  see  the  relative  effects  on  income  and 
the  nitrogen  balance.  Farm  income  drops  $1,589  (from  $34,025  to  $32,- 
436)  for  the  V  to  IV  allotment  reduction,  and  $2,069  (from  $30,447  to 
$28,378)  for  the  III  to  II  reduction.  The  sacrifice  in  income  for  the  same 
absolute  reduction  in  the  nitrogen  fertilizer  allotment  becomes  greater 
as  the  allotment  decreases.  The  corresponding  decline  in  the  nitrogen 
balance  between  levels  V  and  IV  is  6.04  short  tons  (from  8.54  to  2.50 


ECONOMIC  EFFECTS  OF  CONTROLS  —  33 

tons).  In  contrast,  the  nitrogen  balance  declines  by  only  2.50  short  tons 
(from  2.50  to  0  tons)  between  levels  III  and  II.  Thus  the  first  reduction 
in  allotment,  V  to  IV,  is  less  expensive  in  terms  of  income  loss  than  the 
third  reduction,  III  to  II,  but  more  effective  in  terms  of  decreasing  the 
nitrogen  balance  and  hence  the  water  pollution  potential. 


SUMMARY 

In  this  bulletin  we  examine  six  control  methods  that  might  be  used 
to  reduce  nitrate  concentration  in  water.  We  focus  primarily  on  the  esti- 
mated effects  that  these  methods  might  have  on  agricultural  production 
and  farm  income.  Except  in  the  watershed  study  (pages  26  to  28),  we 
do  not  consider  how  effective  these  various  control  measures  might  be  in 
reducing  the  nitrate  concentration  in  water.  Also,  we  do  not  analyze  the 
relative  costs  of  administering  the  different  programs.  Three  basic  types 
of  control  are  considered:  education,  regulation,  and  economic  incentives. 

Education 

Education  might  be  a  way  to  reduce  nitrate  concentration  in  water 
if  farmers  are  applying  more  nitrogen  fertilizer  than  necessary  to  maxi- 
mize economic  returns.  The  data  available  from  commercial  farms  and 
farm  experiments,  however,  indicate  that  in  terms  of  the  farmer's  eco- 
nomic interests  there  is  very  little  overapplication  of  nitrogen  fertilizer. 
We  concluded  that  an  educational  program  based  on  economic  self- 
interest  would  have  very  limited  value  in  reducing  fertilizer  applica- 
tions and  hence  decreasing  nitrate  concentration  in  water. 

Regulation 

Regulating  the  use  of  nitrogen  fertilizer  can  be  accomplished  in  sev- 
eral ways.  First,  limits  can  be  established  for  per-acre  application  rates 
for  major  crops.  Some  type  of  surveillance  by  an  administrative  agency 
would  of  course  be  needed  to  enforce  these  limits.  Second,  the  nitrate 
concentration  in  the  leachate  can  be  restricted,  but  again  some  system  of 
inspection  would  be  necessary  to  determine  if  the  leachate  concentration 
were  acceptable.  Third,  limits  can  be  placed  on  the  total  nitrogen  fer- 
tilizer available  for  a  single  farm,  thus  permitting  the  farmer  to  allocate 
his  quota  among  crops  as  he  prefers.  Enforcement  procedures  are  apt 
to  be  simpler  for  this  method  than  for  either  of  the  other  two  regulatory 


34 BULLETIN  NO.  757 

methods.  In  contrast  to  an  educational  program,  regulation  does  have 
the  potential  for  effectively  reducing  nitrogen  fertilizer  use.  However, 
the  impact  on  agricultural  production  and  the  implications  of  this  impact 
should  be  included  as  a  part  of  the  basis  for  choosing  a  control  method. 

Economic  Incentives 

Two  types  of  economic  incentives  are  discussed  in  this  bulletin:  first, 
a  tax  on  nitrogen  fertilizer,  which  would  probably  reduce  application 
rates  because  of  the  diminishing-returns  relationship  between  the  amount 
of  fertilizer  applied  and  the  crop  yield;  and  second,  a  market  for  rights 
to  purchase  commercial  nitrogen.  Both  of  these  measures  would  require 
less  administrative  supervision,  but  might  also  in  practice  be  less  effec- 
tive than  direct  regulatory  methods.  Nevertheless,  economic  incentives 
have  a  greater  potential  for  reducing  nitrogen  fertilizer  use  than  infor- 
mational programs,  which  are  designed  to  improve  decision  making  on 
nitrogen  application  rates  at  the  level  of  the  individual  farm. 

Conclusions 

Units  of  analysis  varying  from  the  nation  to  an  individual  farm  were 
used  to  assess  the  changes  in  crop  production  and  farm  income  resulting 
from  the  various  control  methods.  However,  not  all  of  the  controls  were 
evaluated  at  all  units  of  analysis.  Although  the  regulatory  controls  and 
the  economic  incentives  have  different  administrative  arrangements,  our 
principal  concern  in  this  study  has  been  the  consequences  to  agricultural 
production  if  nitrogen  fertilizer  use  were  to  be  reduced,  regardless  of 
the  method. 

Reducing  nitrogen  rates  nationwide  to  100  pounds  per  acre  (112 
kg./ha.)  on  corn,  sorghum,  and  wheat  would  require  a  very  minor  in- 
crease in  acreage  to  meet  either  low  or  high  export  demands.  However, 
if  export  demands  are  high  and  the  nitrogen  limit  is  set  at  50  pounds 
per  acre  (56  kg./ha.),  then  16  percent  more  land  would  be  required 
than  when  there  are  no  limits  on  fertilizer  use.  Controls  only  in  Illinois 
reduce  Illinois'  competitive  advantage  in  corn  production,  and  even 
though  the  nation's  soybean  production  becomes  more  concentrated  in 
Illinois  than  under  the  current  no-restriction  system,  Illinois  farmers 
would  experience  serious  economic  setbacks  as  the  level  of  restriction 
increases.  A  50-pound-per-acre  limit  in  Illinois  only,  for  example,  would 
reduce  Illinois  farm  income  about  17  percent,  as  shown  in  the  national 
model. 


ECONOMIC  EFFECTS  OF  CONTROLS 35 

When  fertilizer  use  is  initially  reduced  to  a  range  between  10  and  25 
percent,  the  effects  on  cropping  patterns,  acreage  requirements,  and  in- 
come are  moderate.  The  impact  becomes  increasingly  severe,  however, 
when  nitrogen  use  is  further  restricted.  In  the  total-farm  analysis,  a  re- 
duction of  25  percent  in  the  nitrogen  allotment  causes  a  decline  of  about 
5  percent  in  farm  income  above  direct  costs,  whereas  a  reduction  of  75 
percent  in  the  allotment  results  in  an  income  decline  of  nearly  20  percent. 

Improvements  in  health  and  in  the  quality  of  the  environment  are 
the  reasons  for  examining  the  effects  of  various  control  measures.  There- 
fore, for  a  complete  evaluation  of  these  measures  public  policy  makers 
should  place  the  production  and  income  consequences  of  controls  side- 
by-side  with  the  expected  benefits.  The  combined  information  will  then 
form  the  base  upon  which  policy  decisions  can  be  made. 


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UNIVERSITY  OF  ILLINOIS-URBANA