Determining the shadow price of water with the help of fuzzy planning model of the chance range, case study: Qazvin irrigation network

Reduction of water resources from one side and increasing demand on the other side, have faced lots of areas in the world with a difficult situation. Water resource pricing in water management is essential. Currently, the water rate paid by farmers to irrigate agricultural crops does not reflect the true value of water. One of the most effective solutions for demand management is determining the real price of water in the agricultural sector. This helps in the more favorable allocation of this input between different agricultural products. Since the surface water availability variable is stochastic in nature, its value cannot be assumed as certain. Therefore, in this study, the shadow price of water in the irrigation network of Qazvin plain has been calculated with the help of the fuzzy planning model of limited chance, which is a combination of the limited chance planning model and fuzzy planning model. The results show that the economic value of each cubic meter of water in the Qazvin Plain irrigation network is equal to 17,882 rials, which is about 23 times more than the average selling price of water in the study area. Considering that the stock of water resources is decreasing, in order to prevent indiscriminate harvesting and waste of water resources, as well as the optimal allocation of water input between agricultural products in the region, the price of water equivalent to its real value should be received from the farmers.