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RELU FARM-
level
Modelling
Land-use/
environmenta
l
interactions
U. Stirling
30-6-08
Biodiversity and
Agricultural
Production
Planning by LP
Daniel L. Sandars & E.
Audsley
Structure
• Background
• Methodological challenges
• Results
• Summary & (Discussion)
Declining
farmland
birds
A political
objective to halt
the decline
Arable
farming
• Why a decline? – reduced winter food resources
• Intensification leads large-scale homogenisation
in the landscape
• Herbicides lead to few weeds surviving to harvest
• High capacity machinery leads to timely harvest
and the swift removal of residues and stubble
• Increased winter sown cropping leads to less over
wintering stubbles
Decision
variables
• Crop choice
• Rotational combination
• Operational choice
• Operational timing
• Input choice
• Input timing
Policy
questions
• How would farmers react, in the long term, to change?
• Climatic
• Technical
• Financial
• Regulatory
• Social
• How does the cropping, environmental emissions and
biodiversity change?
• What would make a particular management action appealing to
farmers?
• For example, how will farmers respond to increasing prices of
biofuel crops. What will the unintended consequences be?
Model-based
farm-level
policy impact
analysis
• Linear Programming, such as Silsoe whole-FARM Model
(SFARMMOD), is well established at predicting the
optimizing behavioural response of farmers in response to
choice and change in prices, technology and regulations.
• Recently extensions include environmental pollution, such
as nitrate leaching as multiple objectives to be constrained
or minimised
• We extend this modelling approach to predict the impact
of biodiversity policy on farmers and the consequences of
farming on biodiversity
Soils and Weather
Workable
hours
Profitability
(or loss)
Crop and livestock
outputs
Environmental
Impacts
Possible crops,
yields, maturity
dates, sowing
dates
Silsoe Whole Farm
Model
Linear programme, important
features timeliness penalties,
rotational penalties,
workability per task,
uncertainty
Machines
and
people
Constraints
and
penalties
Heavy
Medium
Light
Workable
hours -
typical
profile
Structure
• Background
• Methodological challenges
• Results
• Summary & (Discussion)
Key tasks
Three main types of model extension are envisaged
1) Quantified measures of biodiversity, which could
include four mammal species, indicator bird species,
and weed species.
2) Field boundary features and the effects of spatial
geometry. These are habitats that support
biodiversity.
3) Incorporate sets of criteria to explain and predict the
decision behaviour of a population of land managers
Weeds,
birds and
mammals
• A wide varied of detailed ecological models
• Habitat association models of birds
• Difference equation and Markov chain models of weed
dynamics
• Game theory models of bird populations and winter feed
availability
• Development of a single metric ‘biodiversity units’?
• Fitting these to an LP requires meta-modelling to enable each
to be quantified for the set of all farm plans
LP model
of weeds,
etc
cR
dijC
iwQ
wQ
rRxCaQQ
w
dci
w
dji
w
i
W
dci
dci
w
dcidji
dji
w
dji
i
i
w
i
W
cropprevioustoduechange
at timecroponoperationtoduechange
cropforweedofpopulationdefault
weed,ofpopulationpredictedtotal
where
,,
,,
,,
,,
,,,,
,,
,,
=
=
=
=
++=
∧
∧
∑∑∑
boundary
features
Spatial
geometry
effects
• The length and depth of field boundary per cropped
hectare effects field shape which effects the
efficiency of field work
• A model of field work efficiency is being
developed to quantify the effects and determine
significant non-linear behaviour
• At a larger scale the increase of contract farming
operations can mean entire farms are in a single crop
in a given year
Non
linearity!
Can we maintain
linearity and model the
effects of promoting an
increase in hedges and
probable reduction in
field size
Decision
Making
Behaviour 1
• Profit maximising (long-term net farm profit) accounts well for
the aggregate production behaviour of farmers, but what about
conservation behaviour?
• At farm level decision making behaviour may differ due
personal values, views on future prices, risk, and the
information available
• Conservation behaviour may involve the understanding of
objectives such as ‘stewardship of the land’, and ‘professional
pride/identity’, etc
• Aggregate behaviour can be built up from a distribution of
farmer values. Is this a better decision model?
Decision
Making
Behaviour 2
• Multiple Objective Decision Making (MODM) can be
used. It is based on Multiple Attribute Value Theory
(MAVT)
• The two common implementations are
• Goal Programming (GP): Objectives are satisfied
by obtaining a series of hierarchical goals
• Multiple Objective Programming (MOP):
Objectives are involved in a weighted trade-off
• Which is better …both or ANP or Stated Choice or…?
Structure
• Background
• Methodological challenges
• Results
• Summary & (Discussion)
Comparison
of cropping
0
5
10
15
20
25
30
35
40
45
W
interw
heatW
interbarleySpring
barley
O
ats
Potatoes
Sugarbeet
PeasO
ilseed
rapeW
interbeansSpring
beans
Linseed
G
rass
%
Census
Modelled
Sensitivity to
commodity
prices
0
50
100
150
200
250
80% 90% 100% 110% 120%
Change in oilseed commodity price
Averagecropping,ha/250hafarm
Rotational setaside
Dried Peas
W.OSRape
Spring Barley
Winter Barley
Spring Wheat
Winter wheat
Stubble
Prices £/t: W Wheat £78, S Wheat £81, Barley £73, Peas £87, Rape seed £150
Sandy clay loam with 595 mm annual rainfall
Promoting
spring crops
v. stubbles
R2
= 0.2824
0
10
20
30
40
50
60
70
80
90
0 50 100 150 200 250
Spring crops, ha/ 250 ha farm
StubblesoverwinteringtomidFeb.,
ha/250ha
wintering
stubbles are
one measure
of
‘stewardship’
0
50
100
150
200
250
£- £10,000 £20,000 £30,000 £40,000 £50,000 £60,000
Net farm profit, £/250 ha
Stubblearea@14thFeb.,ha
£-
£5,000
£10,000
£15,000
£20,000
£25,000
Risk,£Totalabsolutedeviation/
250ha
Clay 700mm rainfall, stubble area Sand 500mm rainfall, stubble area
Clay 700mm rainfall, risk Sand 500mm rainfall, risk
Structure
• Background
• Methodological challenges
• Results
• Summary & (Discussion)
Summary
• Farmers on lighter and dryer soils can increase the
amount of stubble available more readily than those
on heavier wetter soils.
• However, in doing so the risks rise sharply
• Promoting spring crops does not in itself provide
more stubble.
• Raise farm incomes do to higher prices tends to
reduce winter stubble availability because the
benefits of timeliness progressively outweigh
machinery costs
The END
Collaborat
ors
Discussion
• Can we maintain linearity and its high utility
• Can we identify the ‘missing’ attributes? Do they
exist? Would we be better quantifying the farmers
true full economic costs?
• Can we quantify and model them for all farm plans?
• Can we elicit preferences and value functions?
• Can we generalise for all farmers for some farmers?
• Can readily evaluate future, as yet unspecified
choices by estimating their attributes only?

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Presentation at RELU Farm Level Workshop 2009

  • 1. RELU FARM- level Modelling Land-use/ environmenta l interactions U. Stirling 30-6-08 Biodiversity and Agricultural Production Planning by LP Daniel L. Sandars & E. Audsley
  • 2. Structure • Background • Methodological challenges • Results • Summary & (Discussion)
  • 4. Arable farming • Why a decline? – reduced winter food resources • Intensification leads large-scale homogenisation in the landscape • Herbicides lead to few weeds surviving to harvest • High capacity machinery leads to timely harvest and the swift removal of residues and stubble • Increased winter sown cropping leads to less over wintering stubbles
  • 5. Decision variables • Crop choice • Rotational combination • Operational choice • Operational timing • Input choice • Input timing
  • 6. Policy questions • How would farmers react, in the long term, to change? • Climatic • Technical • Financial • Regulatory • Social • How does the cropping, environmental emissions and biodiversity change? • What would make a particular management action appealing to farmers? • For example, how will farmers respond to increasing prices of biofuel crops. What will the unintended consequences be?
  • 7. Model-based farm-level policy impact analysis • Linear Programming, such as Silsoe whole-FARM Model (SFARMMOD), is well established at predicting the optimizing behavioural response of farmers in response to choice and change in prices, technology and regulations. • Recently extensions include environmental pollution, such as nitrate leaching as multiple objectives to be constrained or minimised • We extend this modelling approach to predict the impact of biodiversity policy on farmers and the consequences of farming on biodiversity
  • 8. Soils and Weather Workable hours Profitability (or loss) Crop and livestock outputs Environmental Impacts Possible crops, yields, maturity dates, sowing dates Silsoe Whole Farm Model Linear programme, important features timeliness penalties, rotational penalties, workability per task, uncertainty Machines and people Constraints and penalties
  • 10. Structure • Background • Methodological challenges • Results • Summary & (Discussion)
  • 11. Key tasks Three main types of model extension are envisaged 1) Quantified measures of biodiversity, which could include four mammal species, indicator bird species, and weed species. 2) Field boundary features and the effects of spatial geometry. These are habitats that support biodiversity. 3) Incorporate sets of criteria to explain and predict the decision behaviour of a population of land managers
  • 12. Weeds, birds and mammals • A wide varied of detailed ecological models • Habitat association models of birds • Difference equation and Markov chain models of weed dynamics • Game theory models of bird populations and winter feed availability • Development of a single metric ‘biodiversity units’? • Fitting these to an LP requires meta-modelling to enable each to be quantified for the set of all farm plans
  • 13. LP model of weeds, etc cR dijC iwQ wQ rRxCaQQ w dci w dji w i W dci dci w dcidji dji w dji i i w i W cropprevioustoduechange at timecroponoperationtoduechange cropforweedofpopulationdefault weed,ofpopulationpredictedtotal where ,, ,, ,, ,, ,,,, ,, ,, = = = = ++= ∧ ∧ ∑∑∑
  • 14. boundary features Spatial geometry effects • The length and depth of field boundary per cropped hectare effects field shape which effects the efficiency of field work • A model of field work efficiency is being developed to quantify the effects and determine significant non-linear behaviour • At a larger scale the increase of contract farming operations can mean entire farms are in a single crop in a given year
  • 15. Non linearity! Can we maintain linearity and model the effects of promoting an increase in hedges and probable reduction in field size
  • 16. Decision Making Behaviour 1 • Profit maximising (long-term net farm profit) accounts well for the aggregate production behaviour of farmers, but what about conservation behaviour? • At farm level decision making behaviour may differ due personal values, views on future prices, risk, and the information available • Conservation behaviour may involve the understanding of objectives such as ‘stewardship of the land’, and ‘professional pride/identity’, etc • Aggregate behaviour can be built up from a distribution of farmer values. Is this a better decision model?
  • 17. Decision Making Behaviour 2 • Multiple Objective Decision Making (MODM) can be used. It is based on Multiple Attribute Value Theory (MAVT) • The two common implementations are • Goal Programming (GP): Objectives are satisfied by obtaining a series of hierarchical goals • Multiple Objective Programming (MOP): Objectives are involved in a weighted trade-off • Which is better …both or ANP or Stated Choice or…?
  • 18. Structure • Background • Methodological challenges • Results • Summary & (Discussion)
  • 20. Sensitivity to commodity prices 0 50 100 150 200 250 80% 90% 100% 110% 120% Change in oilseed commodity price Averagecropping,ha/250hafarm Rotational setaside Dried Peas W.OSRape Spring Barley Winter Barley Spring Wheat Winter wheat Stubble Prices £/t: W Wheat £78, S Wheat £81, Barley £73, Peas £87, Rape seed £150 Sandy clay loam with 595 mm annual rainfall
  • 21. Promoting spring crops v. stubbles R2 = 0.2824 0 10 20 30 40 50 60 70 80 90 0 50 100 150 200 250 Spring crops, ha/ 250 ha farm StubblesoverwinteringtomidFeb., ha/250ha
  • 22. wintering stubbles are one measure of ‘stewardship’ 0 50 100 150 200 250 £- £10,000 £20,000 £30,000 £40,000 £50,000 £60,000 Net farm profit, £/250 ha Stubblearea@14thFeb.,ha £- £5,000 £10,000 £15,000 £20,000 £25,000 Risk,£Totalabsolutedeviation/ 250ha Clay 700mm rainfall, stubble area Sand 500mm rainfall, stubble area Clay 700mm rainfall, risk Sand 500mm rainfall, risk
  • 23. Structure • Background • Methodological challenges • Results • Summary & (Discussion)
  • 24. Summary • Farmers on lighter and dryer soils can increase the amount of stubble available more readily than those on heavier wetter soils. • However, in doing so the risks rise sharply • Promoting spring crops does not in itself provide more stubble. • Raise farm incomes do to higher prices tends to reduce winter stubble availability because the benefits of timeliness progressively outweigh machinery costs
  • 26. Discussion • Can we maintain linearity and its high utility • Can we identify the ‘missing’ attributes? Do they exist? Would we be better quantifying the farmers true full economic costs? • Can we quantify and model them for all farm plans? • Can we elicit preferences and value functions? • Can we generalise for all farmers for some farmers? • Can readily evaluate future, as yet unspecified choices by estimating their attributes only?