Allocating river water in a cooperative way: a case study of the Dongjiang River Basin, South China
Tóm tắt
Water resources provide the foundation for human development and environmental sustainability. Water shortage occurs more or less in some regions, which usually causes sluggish economic activities, degraded ecology, and even conflicts and disputes over water use sectors. Game theory can better reflect the behaviors of involved stakeholders and has been increasingly employed in water resources management. This paper presents a framework for the allocation of river basin water in a cooperative way. The proposed framework applies the TOPSIS model combined with the entropy weight to determine stakeholders’ initial water share, reallocating water and net benefit by using four solution concepts for crisp and fuzzy games. Finally, the Fallback bargaining model was employed to achieve unanimous agreement over the four solution concepts. The framework was demonstrated with an application to the Dongjiang River Basin, South China. The results showed that, overall, the whole basin gained more total benefits when the players participated in fuzzy coalitions rather than in crisp coalitions, and
$$\left\{ {NHS_{Fuzzy} \,and\, SV_{Crisp} } \right\}$$
could better distribute the total benefit of the whole basin to each player. This study tested the effectiveness of this framework for the water allocation decision-making in the context of water management in river basins. The results provide technical support for water right trade among the stakeholders at basin scale and have the potential to relieve water use conflicts of the entire basin.
Tài liệu tham khảo
Abul Bashar M, Hipel KM, Marc Kilgour D, Obeidi A (2015) Coalition fuzzy stability analysis in the graph model for conflict resolution. J Intell Fuzzy Syst 29(2):593–607
Ahmadi A, Karamouz M, Moridi A, Han D (2012) Integrated planning of land use and water allocation on a watershed scale considering social and water quality issues. J Water Res Pl 138(6):671–681
Avarideh F, Attari J, Moridi A (2017) Modelling equitable and reasonable water sharing in transboundary rivers: the case of Sirwan-Diyala river. Water Resour Manag 31(4):92–100
Brams SJ, Kilgour DM (2001) Fallback bargaining. Group Decis Negot 10(4):287–316
Chen J, Shi HY, Sivakumar B, Peart MR (2016) Population, water, food, energy and dams. Renew Sustain Energy Rev 56:18–28
Cutlac IM, Horbulyk TM (2011) Optimal water allocation under short-run water scarcity in the south Saskatchewan river basin. J Water Res Pl 137(1):253–269
Davijani MH, Banihabib ME, Anvar ANN, Hashemi SR (2016) Multi-objective optimization model for the allocation of water resources in arid regions based on the maximization of socioeconomic efficiency. Water Resour Manag 30(3):927–946
Degefu DM, He WJ, Zhao JH (2017) Transboundary water allocation under water scarce and uncertain conditions: a stochastic bankruptcy approach. Water Policy 19(3):479–495
Devi S, Srivastava DK, Mohan C (2005) Optimal water allocation for the transboundary Subernarekha River. India. J Water Res Pl 131(4):253–269
Eliasson J (2015) The rising pressure of global water shortages. Nature 517(7532):6
Gong ZT, Wang Q (2016) Fuzzy share functions for cooperative fuzzy games. J Comput Anal Appl 21(3):597–607
He YH, Lin KR, Chen XH (2013) Effect of land use and climate change on runoff in the Dongjiang Basin of South China. Math Probl Eng 1:14–26
He YH, Chen XH, Sheng ZP, Lin KR, Gui FL (2017a) Water allocation under the constraint of total water-use quota: a case from Dongjiang River Basin. Hydrol Sci J, South China. https://doi.org/10.1080/02626667.2017.1417596
He YH, Lin KR, Tang GP, Chen XH, Guo SL, Gui FL (2017b) Quantifying the changing properties of climate extremes in Guangdong Province using individual and integrated climate indices. Int J Climatol 37(2):781–792
He YH, Yang J, Chen XH, Lin KR, Zheng YH, Wang ZL (2017c) A two-stage approach to basin-scale water demand prediction. Water Resour Manag 10:1–16
Hwang CL, Yoon K (1981) Methods for multiple attribute decision making. In: Multiple attribute decision making. Lecture Notes in Economics and Mathematical Systems, vol 186. Springer, Berlin
Jafarzadegan K, Abed-Elmdoust A, Kerachian R (2013) A fuzzy variable least core game for inter-basin water resources allocation under uncertainty. Water Resour Manag 27:3247–3260
Jafarzadegan K, Abed-Elmdoust A, Kerachian R (2014) A stochastic model for optimal operation of inter-basin water allocation systems: a case study. Stoch Environ Res Risk Assess 28:1343–1358
Kabak M, Saglam F, Aktas A (2017) Usability analysis of different distance measures on TOPSIS. J Fac Eng Archit Gaz 32(1):35–43
Li S, Zhang Q (2009) A simplified expression of the Shapley function for fuzzy game. Eur J Oper Res 196:234–245
Liao Z, Hannam PJ, Tarhouni J (2013) The Mekong game: achieving an all-win situation. Water Resour Manag 27:2611–2622
Liu DD, Guo SL, Chen XH, Shao QX, Ran QH, Song XY, Wang ZL (2012) A macro-evolutionary multi-objective immune algorithm with application to optimal allocation of water resources in Dongjiang River basins, South China. Stoch Environ Res Risk Assess 26:491–507
Liu XM, Huang GH, Wang S, Fan YR (2016) Water resources management under uncertainty: factorial multi-stage stochastic program with chance constraints. Stoch Environ Res Risk Assess 30(3):945–957
Madani K (2010) Game theory and water resources. J Hydrol 381(3–4):225–238
Madani K (2011) Hydropower licensing and climate change: insights from cooperative game theory. Adv Water Resour 34:174–183
Madani K, Hipel KW (2011) Non-cooperative stability definitions for strategic analysis of generic water resources conflicts. Water Resour Manag 25:1949–1977
Madani K, Hooshyar M (2014) A game theory–reinforcement learning (GT–RL) method to develop optimal operation policies for multi-operator reservoir systems. J Hydrol 519:732–742
Mahjouri N, Ardestani M (2010) A game theoretic approach for interbasin water resources allocation considering the water quality issues. Environ Monit Assess 167:527–544
Mahjouri N, Bizhani-Manzar M (2013) Waste load allocation in rivers using fallback bargaining. Water Resour Manag 27(7):2125–2136
Mares M, Vlach M (2009) Alternative representation of fuzzy coalitions. Int J Uncertain Fuzziness 17(3):345–364
Mehrparvar M, Ahmadi A, Safavi HR (2016) Social resolution of conflicts over water resources allocation in a river basin using cooperative game theory approaches: a case study. Int J River Basin Manag 14(1):33–45
Meng FY (2015) A coalitional value for fuzzy games with a coalition structure. J Intell Fuzzy Syst 29(1):315–326
Mianabadi H, Mostert E, Zarghami M, Giesen NVD (2014) A new bankruptcy method for conflict resolution in water resources allocation. J Environ Manag 144:152–159
Mousavi SJ, Anzab NR, Asl-Rousta B, Kim JH (2017) Multi-objective optimization-simulation for reliability-based inter-basin water allocation. Water Resour Manag 31(11):3445–3464
Nouiri I, Yitayew M, Maßmann J, Tarhouni J (2015) Multi-objective optimization tool for integrated groundwater management. Water Resour Manag 29(14):5353–5375
Rashid T, Beg I, Husnine SM (2014) Robot selection by using generalized interval-valued fuzzy numbers with TOPSIS. Appl Soft Comput 21:462–468
Roozbahani R, Abbasi B, Schreider S, Ardakani A (2014) A multi-objective approach for transboundary river water allocation. Water Resour Manag 28:5447–5463
Sadegh M, Kerachian R (2011) Water resources allocation using solution concepts of fuzzy cooperative games: fuzzy least core and fuzzy weak least core. Water Resour Manag 25:2543–2573
Sechi GM, Zucca R (2015) Water resource allocation in critical scarcity conditions: a bankruptcy game approach. Water Resour Manag 29(2):541–555
Shapley LS, Shubik M (1973) Game theory in economics: characteristic function, core and stable set. Rand Corp, Santa Monica, Rep R-904-NSF/6
Shi GM, Wang JN, Zhang B, Zhang Z, Zhang YL (2016) Pollution control costs of a transboundary river basin: empirical tests of the fairness and stability of cost allocation mechanisms using game theory. J Environ Manag 177:145–152
Shi H, Chen J, Wang K, Niu J (2018) A new method and a new index for identifying socioeconomic drought events under climate change: a case study of the East River basin in China. Sci Total Environ 616-–617:363–375
Singh A (2017) Optimal allocation of water and land resources for maximizing the farm income and minimizing the irrigation-induced environmental problems. Stoch Environ Res Risk Assess 31(5):1147–1154
Wang LZ, Fang LP, Hipel KW (2008) Basin-wide cooperative water resources allocation. Eur J Oper Res 190:798–817
Wei SK, Yang H, Abbaspou K, Mousavi J, Gnauck A (2010) Game theory based models to analyze water conflicts in the middle route of the south-to-north water transfer project in China. Water Res 44:2499–2516
Xie YL, Xia DH, Huang GH, Li W, Xu Y (2017) A multistage stochastic robust optimization model with fuzzy probability distribution for water supply management under uncertainty. Stoch Environ Res Risk Assess 31(1):125–143
Yang LE, Chan FKC, Scheffran J (2018) Climate change, water management and stakeholder analysis in the Dongjiang River basin in South China. Int J Water Resour D 34(2):166–191
Yu X, Zhang Q (2009) The fuzzy core in games with fuzzy coalitions. J Comput Appl Math 230(1):173–186
Zarezadeh M, Madani K (2012) Resolving transboundary water conflicts lessons learned from the Qezelozan-Sefidrood river bankruptcy problem. World Environ Water Res Congr 2012:2406–2412
Zhou SH, Liu W, Chang WB (2016) An improved TOPSIS with weighted hesitant vague information. Chaos Solitons Fract 89:47–53