Optimal Cropping Pattern Using a Multi-objectives Fuzzy Non-linear Optimization Algorithm: A Case Study

Document Type : Research Paper


1 Assist. Prof. of Economy, Zabol University

2 Assist. Prof. of Water Eng., Islamic Azad University, Sciences and Research Branch, Fars

3 Assoc. Prof. of Biology, Islamic Azad University, Jahrom Branch, Jahrom


Increasing the resources productivity using cropping pattern optimization is a proper way for agricultural development. In this study, the ideals’ realization possibility of maximizing the gross margin in compromising with reducing the water consumption, minimizing the fertilizers uses, minimizing the production risk, and maximizing the social benefits of cropping pattern were analyzed using a multi-objectives fuzzy non-linear programming model in Marvdasht City of Fars Province. In this approach, the crop area is optimized to maximize the weighted sum of fuzzy objective in the range of their given bearing bounds. Results show that in many cases the possibility of complete ideals realization in the multiple goals model in comparison with single goal patterns was not observed. Considering the outcomes and the relevant weight assigned to each of the goals by the decision maker consisting of the Fuzzy Composite Distance Function reveals that the cropping patterns base on multiple goals are superior to current patterns and even single goal pattern in supply of multiple compromised ideals. Implementation of these models in study areas has significant influence on reducing water use as well as increasing the gross margin and reducing fertilizer use and risk.


1- Abtahi, S.H., and Kazemi, B. (2001). Productivity, Institution of Trade’s Studies and Researches, Tehran. (In Persian)
2- Doppler, W., Salman, A.Z., Al-Karablieh, E.K., and Wolf, H.P. (2002). “The impact of water price strategies on the allocation of irrigation water: The case of the Jordan Valley.” J. of Agricultural Water Management, 55, 171-182.
3- Rastegaripour, F., and Sabouhi Sabouni, M. (2010). “An optimization model for Kardeh reservoir operation using interval-parameter, multi-stage, stochastic programming.” J. of Water and Wastewater, 75, 88-98. (In Persian)
4- Mohammad Rezapour Tabari, M., Maknoon, R., and Ebadi, T. (2009). “Multi-objective optimal model for surface and groundwater conjunctive use management using SGAs and NSGA-II.” J. of Water and Wastewater, 69, 2-12. (In Persian)
5- Alimohammadi, S., and Hosseinzadeh, H. (2010). “Conjunctive use of surface water and groundwater resources in Abhar river basin.” J. of Water and Wastewater, 75, 75-87. (In Persian)
6- Bender, M.J., and Simonovic, S.P. (2000). “A fuzzy compromise approach to water resource systems planning under uncertainty.” J. of Fuzzy Sets and Systems, 115, 35-44.
7- Berbel, J., and Gomez-Limon, J.A. (2000). “The impact of water-pricing policy in Spain: An analysis of three irrigated areas.” J. of Agricultural Water Management, 43, 219-238.
8- Bartolini, F., Bazzani, G.M., Gallerani, V., Raggi, M., and Viaggi, D. (2007). “The impact of water and agriculture policy scenarios on irrigated farming systems in Italy: An analysis based on farm level multi-attribute linear programming models.” J. of Agricultural System, 93, 90-114.
9- Torkamani, J. (2005). “Using a whole-farm modeling approach to assess prospective technologies under uncertainty.” J. of Agricultural Systems, 85, 138-154.
10- Torkamani, J. (2006). “Measuring and incorporating farmers' beliefs and preferences about uncertain events in decision analysis: A stochastic programming experiment.” Indian J. of Agricultural Economics, 61(2), 185-199.
11- Suresh, K.R., and Mujumdar, P.P. (2004). “A fuzzy risk approach for performance evaluation of an irrigation reservoir system.” J. of Agricultural Water Management, 69, 159-177.
12- Francisco, S.R., and Mubarik, A. (2006). “Resource allocation tradeoffs in Manila's peri-urban vegetable production systems: An application of multiple objective programming.” J. of Agricultural Systems, 87, 147-168.
13- Torkamani, J., and Kalaei, A. (1999). “Effects of risk on farming cropping patterns: Comparison of risk programming methods of MOTAD and TMOTAD.” J. of Agricultural Economic and Development, 25, 7-28. (In Persian)
14- Hasanshahi, M. (2006). “Farming decision making under risk conditions: A case study of Arsanjan township.” J. of Agricultural Economic and Development, 54, 161-178. (In Persian)
15- Ten Berge, H.F.M., van Ittersum, M.K., Rossing, W.A.H., van de Ven, G.W.J., Schans, J., and van de Sanden, P.A.C.M. (2000). “Farming options for The Netherlands explored by multi-objective modeling.” European J. of Agronomy, 13, 263-277.
16- De Koeijer, T.J., Wossink, G.A.A., Smitc, A.B., Janssens, S.R.M., Renkema, J.A., and  Struike, P.C. (2003). “Assessment of the quality of farmers’ environmental management and its effects on resource use efficiency: A Dutch case study.” J. of Agricultural System, 78, 85-103.
17- Almasri, M.N., and Kaluarachchi, J.J. (2005). “Multi-criteria decision analysis for the optimal management of nitrate contamination of aquifers.” J. of Environmental Management, 74, 365-381.
18- Latinopoulos, D., and Mylopoulos, Y. (2005). “Optimal allocation of land and water resources in irrigated agriculture by means of goal programming: Application in Loudias river basin.” J. of Global Nest, 7, 264-273.
19- Barnes, E.M., and Jones, D. (2000). “Fuzzy composite programming to combine remote sensing and crop models for decision support in precision crop management.” J. of Agricultural System, 65, 137-158.
20- Azar, A., and Faraji, H. (2002). Fuzzy Management Science, Ejtemae Press, Tehran. (In Persian)
21- Asadpour, A. (2005). “Theory and application of fuzzy programming model in crops production.” Agricultural Economic and Development, Special Issue of Productivity and Efficiency. (In Persian)
22- Mohammad Rezapour Tabari, M., Maknoon, R., and Ebadi, T. (2009). “Conjunctive use management under uncertainty in aquifer parameters.” J. of Water and Wastewater, 72, 2-12. (In Persian)
23- Ghosh, S., and Mujumdar, P.P. (2006). “Risk minimization in water quality control problems of river system.” J. of Advances in Water Resources, 29, 458-470.
24- Maqsood, I., Huang, G.H., and Scott Yeomans, J. (2005). “An interval-parameter fuzzy two-stage stochastic program for water resources management under uncertainty.” European J. of Operational Research, 167, 208-225.
25- Zadeh, L.A. (1965). “Fuzzy sets.” J. of Information and Control, 8(3), 338-343.
26- Berenger, V., and Verdier-Chouchane, A. (2007). “Multidimensional measures of well-being: Standard of living quality of life across countries.” J. of World Development, 35(7), 1259-1276.
27- Cerioli, A., and Zani, S. (1990). “A fuzzy approach to the measurement of poverty.” Dagum, C., and Zenga, M. (Eds.), Income and wealth distribution, inequality and poverty, Springer-Verlag, Berlin.
28- Chiappero Martinetti, E. (1996). “Standard of living evaluation based on Sen’s approach: Some methodological suggestions.” J. of Notizie di Politeia, 12, 37-53.
29- Brooke, A., Kendrick, D., and Meeraus, A. (1988). GAMS: A users's guide, The Scientific Press, Redwood City, California.
30- Khoshakhlagh, F., Ranjbar, F., Toulabi, S., Moghbel, M., and Masoumpour Samakosh, J. (2010). “Studing of drought and its effects on water resources and agriculture in 2008 (Case study: Marvdasht city).” J. of Geography, 24, 119-136.
31- Anonymous. (2005). National documents of Fars Province development in 4th 5-years development plan, Agricultural Planning, Economic and Rural Development Research Institute, Tehran. (In Persian)
32- Anonymous. (2008). Crops data bank, Ministry of Jihad-e-Agriculture, Tehran. (In Persian)
33- Haiati, D. (1995). “Economic-social and farming-producing factors affecting the technical knowledge, sustainable agricultural knowledge, sustainability of farming system  among wheat farmers in Fars province.” M.Sc. Thesis, Agricultural College, Shiraz University. (In Persian)
34- Karimzadeh, H., Gilanpour, A., and Mirhoseini, S.A. (2006). “Fertilizer subsidy effect on its non-optimal use in wheat production.” J. of Agricultural Economic and Development, 55, 121-133. (In Persian)
35- Alizadeh, A., and Kamali, G. (2007). Crops’ water requirement in Iran, Emam Reza University, Mashhad.
(In Persian)