Development of mathematical and optimization model for agricultural water allocation based on non-dominated sorting

Water resource management is a main driver to increase economic productivity for an agricultural area. Under water shortage condition, efficient use of available water is necessary for required sustainable crop production in arid and semi-arid area. Therefore, a combination procedure of mathematical modeling and optimization techniques has been developed for water allocation to maximize the economical productivity and total efficiency of an irrigation scheme.Optimization model is presented using multiobjective genetic algorithm and evaluate by two objective functions. Water use efficiency, cropping pattern, reduction of irrigation losses, effective use of rainfall and cultivated area are considered in the objective functions of the model. Irrigation water requirement for each growing stage and cultivated area have been considered as decision making variables. For field study, the main crops of Baghmalek plain and their related area, the cost of agricultural inputs and final price of crops were collected in farming year 2013-2014. The results show that the optimal cultivation area allocated among various crops is decreased for maize, melon, tomato and onion in drought condition. Tomato, bean and onion have obtained more volume of total available water, respectively. Tomato in relative yield and net benefit ratio, vegetable in the percentage of allocated water and bean in effective use of water have the minimum values of evaluation parameters.