Optimal Inter-Basin Water Allocation Using Crisp and Fuzzy Shapley Games

Abstract

In recent years, uneven distribution of available water resources as well as increasing water demands and overexploiting the water resources have brought severe need for transferring water from basins having sufficient water to basins facing water shortages. Therefore, optimal allocation of shared water resources in water transfer projects, considering the utilities of different stakeholders, physical limitations of the system and socioeconomic criteria is an important task. In this paper, a new methodology based on crisp and fuzzy Shapley games is developed for optimal allocation of inter-basin water resources. In the proposed methodology, initial water allocations are obtained using an optimization model considering an equity criterion. In the second step, the stakeholders form crisp coalitions to increase the total net benefit of the system as well as their own benefits and a crisp Shapley Value game is used to reallocate the benefits produced in the crisp coalitions. Lastly, to provide maximum total net benefit, fuzzy coalitions are constituted and the participation rates of water users to fuzzy coalitions are optimized. Then, the total net benefit is reallocated to water users in a rational and equitable way using Fuzzy Shapley Value game. The effectiveness of this method is examined by applying it to a large scale case study of water transfer from the Karoon river basin in southern Iran to the Rafsanjan plain in central Iran.

Optimal Water Resources Allocation under the Constraint of Land Use in the Heihe River Basin of China

“…Jeniffer applied water evaluation and planning model to evaluate water resources development based on an equilibrium scenario of the current water demand in the Upper Ewaso Ng'iro North Basin, the results showed that high water irrigation demand was the main reason for a regional water shortage [22]. A methodology based on crisp and fuzzy shapley games to reallocate water resources in different users in Karoon river basin was proposed by Mojtaba Sadegh [23]. Lu constructed the IRFLP model, and conducted a comparison between the IRFLP model and the interval-valued fuzzy linear programming model in water allocation [24].…”

Improving multi-objective reservoir operation optimization with sensitivity-informed dimension reduction

“…The dimension of a ROS problem depends on the number of the curves and the number of time periods. For a cascaded reservoir system, the dimension can be very large, which increases the complexity and problem difficulty and poses a significant challenge for most search tools currently available (Labadie, 2004;Draper and Lund, 2004;Sadegh et al, 2010;Zhao et al, 2014).…”

Challenges of hydrological analysis for water resource development in semi-arid mountainous regions: case study in Iran

“…Water transfer plans are proposed to supply agricultural water for adjacent plains outside the basin, and optimal operation of the water transfer system is currently being studied (e.g. Sadegh et al 2010, Nikoo et al 2012.…”

“…The average annual discharge of the Karun River is 20.4 × 10 9 m 3 , which accounts for about one-fifth of the surface water resources of Iran (Sadegh et al 2010). Meanwhile, the total annual water demand in the basin is around 24.9 × 10 9 m…”

“…Karun River basin has serious water issues in meeting its own water demands (Sadegh et al 2010). In the Khuzestan province, which is located in the middle and downstream part of the basin and demands most of the water use in the basin, about 85% of the freshwater needs is met by the rivers and only 15% is taken from groundwater (Afkhami et al 2007).…”