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Submitted on 12 Sep 2019
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Economic optimization of feeding strategy in pig-fattening units with an individual-based model
Mohsen Davoudkhani, Fabrice Mahé, Jean-Yves Dourmad, Alexandre Gohin, Eric Darrigrand, Florence Garcia-Launay
To cite this version:
Mohsen Davoudkhani, Fabrice Mahé, Jean-Yves Dourmad, Alexandre Gohin, Eric Darrigrand, et al..
Economic optimization of feeding strategy in pig-fattening units with an individual-based model. 70.
Annual Meeting of the European Federation of Animal Science (EAAP), Aug 2019, Ghent, Belgium.
Wageningen Academic Publishers, Annual Meeting of the European Association for Animal Produc- tion, 25, pp.424, 2019, Book of abstracts of the annual meeting of the European Association for Animal Production. �hal-02285072�
Economic optimization of feeding strategy in pig- fattening units with an individual-based model
M. DAVOUDKHANI
𝟏,1PEGASE, INRA, Agrocampus Ouest, 35590 Saint-Gilles, France
2IRMAR, Université de Rennes I, CNRS, UEB, Campus de Beaulieu, 35042 Rennes, France
3SMART LERECO, INRA, Agrocampus Ouest, 35011 Rennes, France
70th Annual Meeting of the European Federation of Animal Science City of Ghent (Belgium), 26 - 30 Aug 2019 Mail: mohsen.davoudkhani@inra.fr
Economic results of pig farming systems are highly variable and depend on the price of feeds, pig performance, and pork price.
Shipping strategy affects farm income since lightest pigs that don’t reach the target weight at maximal fattening duration result in a lower payment.
Thus, feeding and shipping strategies are major levers for improvement.
1)Develop an optimization procedure that finds the best feeding and shipping strategies to maximize the profitability of the pig- fattening unit.
2)Illustrate the potential of the model to improve profitability of the pig-fattening unit (20 batches of 400 pigs).
Scenarios
Simulated Optimized (using Covariance Matrix Adaptation Evolution Strategy (CMA-ES))
Bounds
Decision variable/ *Input parameter S-R (Reference) S-1 S-2 S-3 Min Max
Feeding strategy
% of feed A (𝛼
1, 𝛼
2) (𝛼
1= 100*, 𝛼
2= 55*) 0 100
Live weight at diet change (𝑥, kg) 65* 30 120
Shipping strategy
Target weight ( 𝑇𝑊 , kg) 116.4* 116.4* 110 130
Maximum duration ( 𝑀𝑎𝑥
𝑑, day) 108* 108* 108* 100 125
The optimization procedure is suitable to compare different strategies and improve economic performances of the fattening-unit.
Accounting for more decision variables (i.e. feeding & shipping strategies) tends to improve profitability.
Further work will include the feed formulation problem to the whole optimization procedure and investigate : Possible synergies and/or trade-offs between economic and environmental objectives.
Objectives Context
Conclusions
3 5 7 9 11
30 40 50 60 70 80 90 100 110 120
SID ly sine ( g /kg)
Pig body weight (kg)
Average pig requirement Population requirement
Live weight at diet change (𝑥)
(𝑥) Feed B
(𝛼
1)
( 𝛼
2)
% of feed A in the first phase (𝛼1)
The first phase The second phase
Means that do not share the same letter are significantly different (according to post-hoc Tukey Honestly Significant Difference (HSD) test at a 5% significance level).
Results
2-phase feeding strategy (a blend of Feeds A and B)
46
44 45
43 42 32
31
29 28 27 30
Gross margin (€/pig)
% of feed A
Slaughter weight (kg) Feed cost (€/pig)
40
115 116 117 118 119 120 121
S-R S-1 S-2 S-3
S-R S-1 S-2 S-3
116 118 120 122 124 126
S-R S-1 S-2 S-3
S-R S-1 S-2 S-3
S-1 S-2 S-3
S-R
S-R S-1 S-2 S-3
100 90 70 60 50 80
Live weight at diet change (𝑥 , kg) Target weight (𝑇𝑊 , kg)
50.0 65.0 62.5 57.5 55.0 52.5 60.0
The second phase (𝛼2) The first phase (𝛼1)
b a b
a c
b
c
b
b
a
c
b
d
a
(a, b)
a b b
a
d
c b a
% of f ee d A
100
50
0
F. MAHÉ
𝟐, J.Y. DOURMAD
𝟏, A. GOHIN
𝟑, E. DARRIGRAND
𝟐, F. GARCIA−LAUNAY
𝟏Feed A
% of feed A in the second phase (𝛼2)
Methodology
(With I, index of pig)
The objective is to optimize feeding and shipping strategies in order to maximize the average gross margin per fattened pig.
Max 1
𝐼
𝑖=1 𝐼
𝐺𝑀𝑖 𝛼1, 𝑥, 𝛼2, 𝑇𝑊, 𝑀𝑎𝑥𝑑
