evaluate the effects of targeting subsidies on cultivation pattern in the esfarayen county (interval programming approach)

the purpose of this study, determining the optimal cultivation pattern by using interval mathematical programming approach among the farmers of esfarayen county before and after targeting the subsidies. for this purpose, farmers based on water resources classified in three group of using the river water, deep wells water and rainfed cultivation. the required data for this study has been obtained by using simple random sampling method and questionnaire completion from 207 farmers of this three category. the results of determining the optimal cultivation pattern in three categories indicated that the optimal cultivation pattern according to existing constraints in group of using river water is onion cultivation before and after targeting the subsidies. in group of using deep wells water, optimal cultivation pattern before targeting the subsidies is cultivation of sorghum, irrigated alfalfa, sunflower and seed watermelon and after targeting the subsidies is cultivation of sorghum, irrigated alfalfa, cumin and seed watermelon. optimal cultivation pattern before targeting the subsidies for rainfed cultivation is cultivation of chickpea and lentil. also optimal cultivation pattern after targeting the subsidies in this group for α = 0 is cultivation of chickpea, lentil and barley and for other value of α is cultivation of chickpea and lentil.