Activity 19C : “Paris Basin” model – Regulatory

Length : 40 minutes

You will enrich the model which you wrote in the exercise in Lesson 11 (concerning technologies) and enriched in Lesson 14 (concerning rotations). New data has already been entered into the following model which you can work with : modelEco_ParisBasin_publicpolicies_data.gms.

« The State has implemented environmental regulations for all farms in order to reduce the use of phytosanitary products. It imposes a maximum threshold for the average TIF per hectare on all farms. »

Test various thresholds between 2.5 and 5 IFT/ha.

Questions :

1) What can you say about the results (cropping pattern, income, average TIF) ?
2) Compare the results with those obtained when the State imposes regulations forcing farms to remain under a given threshold. How is it possible to carry out a cost-benefit analysis of the policy ?

Reminder of the problem statement :
« A farmer in the Paris basin has a 100 ha arable crop farm. He can grow soft wheat (cleT), rapeseed, spring barley (orgeP) and winter barley (orgeH). For each crop, he can choose between three management systems :

  • Intensive (written « intens ») : it is the most intensive system in terms of chemical inputs. The farmer has a “preventive” use of phytosanitary products. In other words, he does not wait for the appearance of diseases or pests in order to spray.
  • Sustainable (written « rais ») : it involves “sustainable” practices. The interventions of the farmer are decided following the observation of diseases or pests in the plot. The quantities used are adapted to the situation.
  • Integrated pest management ( written « protI ») : such practices integrate prophylactic agronomic measures which contribute to a decrease in the pressure caused by pests. They can involve considerations concerning sowing dates, variety choices, crop successions in a plot, etc…
  • Integrated pest management at cropping system level (written « SystCI ») : this practice was developed in order to control pests and offers agronomic levers at cropping system level, notably with a change in cropping patterns.

The details of the variable costs are known for each management system and each crop : expenses in phytosanitary products (op_phyto), in fertilizer (op_engrais), in seeds (op_sem) and in mechanization (meca_MO) (fuel and depreciation).

 

Total costs per crop (€/ha) and management system
aa
Crop
Type of costs Management system
Intensive Sustainable Integrated Pest management Cropping system
bleT op_phyto 142 112 73 59
bleT op_engr 192 187 168 168
bleT op_sem 50 50 30 30
bleT meca_MO 268 262 263 263
colza op_phyto 203 153 101 57
colza op_engr 170 157 139 131
colza op_sem 37 37 37 37
colza meca_MO 314 288 299 304
orgeP op_phyto 192 201 120 103
orgeP op_engr 149 147 133 133
orgeP op_sem 65 65 65 65
orgeP meca_MO 262 263 276 287
orgeH op_phyto 234 192 117 110
orgeH op_engr 166 164 147 147
orgeH op_sem 65 65 65 65
orgeH meca_MO 278 259 258 265
chan op_phyto 0
chan op_engr 162
chan op_sem 90
chan meca_MO 124

The farmer knows the expected yields, the variable costs, and the working time required for each system and each crop.
He can work 2000 hours a year.

 

Yields (q/ha) per crop and management system
aa
Crop
Management system
Intensive Sustainable Integrated Pest Management Cropping system
bleT 72,8 71 65 66
colza             31 29 26,3 26
orgeP 62,6 62 56 57
orgeH 71 70 64 65
chan 10,5
Working time (hours per ha) per crop and management system
aa
Crop
Management system
Intensive Sustainable Integrated Pest Management Cropping system
bleT 3,2 3,1 3,1 3,1
colza 4 3,6 4 4,1
orgeP 3,1 3,1 3,3 3,4
orgeH 3,3 3 3 3,1
chan 1,8

The selling prices of crops are as follows : 180€/t for soft wheat, 365€/t for rapeseed, 170€/t for spring barley, 155€/t for winter barley and 320€/t for hemp.

It was observed that farmers used cropping patterns for organisational reasons, by alternating summer crops and winter crops, and for agronomic reasons notably due to the positive effects of a crop on the next one : soil structure and fertility, pest control, etc. But rotations are currently often short (one crop can sometimes be used twice in a row), which leads to the need to increase the inputs in fertilizer and phytosanitary products.

You are going to integrate the rotations into the model.

In the « intensive »  « sustainable » and « integrated pest management » management systems, the rotation must observe the following agronomic rules :
– Oilseed crops cannot be cultivated more than once every three years on the same plot,
– cereal crops cannot be grown two years in a row
– each cereal crop can be cultivated on half the cultivated area dedicated to cereal crops at the most

The final rotation, that of « integrated cropping system » introduces hemp in order to extend the rotation. Longer rotations, which imply that a crop is grown less frequently in the rotation, make it possible to control pests more efficiently. It observes the following rules :
oilseed crops cannot be cultivated more than once every three years on the same plot,
– cereal crops cannot be grown for more than one year on the same plot

– each cereal crop can be cultivated on half the cultivated area dedicated to cereal crops at the most

 hemp is grown once every six years

 

An indicator is used in order to calculate the use of phytosanitary products per crop, the Treatment Frequency Index (TFI) per hectare, which combines the number of of spray applications and the doses applied: the more intensive the management system, the higher the index (see table below). Hemp is not treated chemically. Its TFI is therefore always equal to 0. Phytosanitary products are divided into four categories : herbicide (herb), fungicide (fong), insecticide (ins), other.

 

TFI per product type, per crop and per management system
aa
Crop
aa
Product
Management system
Intensive Sustainable Integrated Pest Management Cropping system
bleT herb 1,6 1,6 1,2 1
bleT fong 2,1 1,3 0,8 0,6
bleT Ins 0,6 0,5 0,2 0,2
bleT other 0,9 0,7 0,2 0,2
colza herb 2,2 1,5 1 0,75
colza fong 1,3 1,2 0,8 0
colza Ins 4,2 2,7 2 2
colza other 0,6 0,6 0,2 0,2
orgeP herb 1,6 1,6 1,3 0,8
orgeP fong 1,4 1,5 0,75 0,75
orgeP Ins 0,2 0,15 0,1 0,1
orgeP other 0,7 0,7 0,5 0,5
orgeH herb 1,9 1,5 1,2 1
orgeH fong 1,7 1,5 0,8 0,8
orgeH Ins 0,5 0,1 0,1 0,1
orgeH other 0,8 0,3 0,2 0,2
chan herb 0
chan fong 0
chan Ins 0
chan other 0

 The objective of the farmer is to maximize his income. »

Write the model in GAMS and check the answers.  solution