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Differential evolution algorithm for solving multi-objective crop planning model

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  • Adeyemo, Josiah
  • Otieno, Fred

Abstract

This study presents four strategies of a novel evolutionary algorithm, multi-objective differential evolution algorithm (MDEA). The four strategies namely, MDEA1, MDEA2, MDEA3 and MDEA4 are adapted to solve the multi-objective crop planning model with multiple constraints in a farmland in the Vaalharts irrigation scheme (VIS) in South Africa. The three objectives of the model are to minimize the total irrigation water (m2) and to maximize both the total net income in South African Rand (ZAR) from farming and the total agricultural output in tons. The total area of the farm is 771,000m2 and supplied with 704,694m2 of irrigation water annually. Numerical results produce non-dominated solutions which converge to Pareto optimal fronts. MDEA1 and MDEA2 strategies with binomial crossover method are better for solving the crop planning problem presented than MDEA3 and MDEA4 strategies with exponential crossover method. MDEA1 found a solution with the highest total net income of ZAR 1,304,600 with the corresponding total agricultural output, total irrigation water and total planting areas of 316.26tons, 702,000m3 and 725,000m2, respectively. The planting areas for the crops in the solution are 73,463m2 for maize, 551,660m2 for groundnut, 50,000m2 for Lucerne and 50,000m2 for Peacan nut. It can be concluded that MDEA is a good algorithm for solving crop planning problem especially in water deficient areas like South Africa.

Suggested Citation

  • Adeyemo, Josiah & Otieno, Fred, 2010. "Differential evolution algorithm for solving multi-objective crop planning model," Agricultural Water Management, Elsevier, vol. 97(6), pages 848-856, June.
    • Handle: RePEc:eee:agiwat:v:97:y:2010:i:6:p:848-856
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    References listed on IDEAS

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    1. Doppler, Werner & Salman, Amer Z. & Al-Karablieh, Emad K. & Wolff, Heinz-Peter, 2002. "The impact of water price strategies on the allocation of irrigation water: the case of the Jordan Valley," Agricultural Water Management, Elsevier, vol. 55(3), pages 171-182, June.
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    2. Víctor M. Albornoz & Gabriel E. Zamora, 2021. "Decomposition-based heuristic for the zoning and crop planning problem with adjacency constraints," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(1), pages 248-265, April.
    3. V. Jothiprakash & R. Arunkumar, 2013. "Optimization of Hydropower Reservoir Using Evolutionary Algorithms Coupled with Chaos," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(7), pages 1963-1979, May.
    4. R. Arunkumar & V. Jothiprakash, 2013. "Chaotic Evolutionary Algorithms for Multi-Reservoir Optimization," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(15), pages 5207-5222, December.
    5. Cervantes-Gaxiola, Maritza E. & Sosa-Niebla, Erik F. & Hernández-Calderón, Oscar M. & Ponce-Ortega, José M. & Ortiz-del-Castillo, Jesús R. & Rubio-Castro, Eusiel, 2020. "Optimal crop allocation including market trends and water availability," European Journal of Operational Research, Elsevier, vol. 285(2), pages 728-739.
    6. Vijendra Kumar & S. M. Yadav, 2019. "Optimization of Cropping Patterns Using Elitist-Jaya and Elitist-TLBO Algorithms," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(5), pages 1817-1833, March.
    7. Hyung-Il Eum & A. Vasan & Slobodan Simonovic, 2012. "Integrated Reservoir Management System for Flood Risk Assessment Under Climate Change," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(13), pages 3785-3802, October.

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