A Game Theory Approach for Conjunctive Use Optimization Model Based on Virtual Water Concept
Abstract
In this study to allocate the agricultural and environmental water, considering virtual water concept, a multi-objective optimization model based on NSGA-II is developed. The objectives consist of equity maximization, agricultural benefit maximization for each region, maximization of green water utilization and finally minimization of environmental shortage. Then a cooperative game (Grand Coalition) model is presented by forming all possible coalitions. By the game model including Nucleolus, Proportional Nucleolus, Normal Nucleolus and Shapley methods, the benefit is reallocated based on all Pareto optimal solutions obtained from multi-objective optimization model. Then using two famous fallback bargaining methods, Unanimity and q-Approval, preferable alternative (solution) for each of the cooperative games is determined. Finally, based on the obtained benefit for each selected alternatives, the two most beneficial alternatives are chosen. The proposed methodology applied for water allocation of Minoo-Dasht, Azad-Shahr and Gonbad-Kavoos cities in Golestan province, Iran for a 3-year period as a case study. Also, eight crops including Wheat, Alfalfa, Barley, Bean, Rice, Corn, Soya, and Cotton are selected based on local experts’ recommendations. The models’ results indicated no significant difference between the grand coalition model and the multi-objective optimization model in terms of the average cultivation area (a relative change of 2.1%), while lower agricultural water allocation occurred for the grand coalition model (about 10.35 percent average) compared with the multi-objective optimization model. It is also observed that more agricultural benefit gained by the grand coalition model (32 percent average). Finally, it is found that Wheat and Corn hold the most rates of import and export, respectively, and Rice was the crop which has the least shortage of production to supply food demand.
Keywords
References
de Fraiture, Charlotte, Ximing Cai, Mark Rosegrant, David Molden, and Upali Amarasinghe. "Addressing the unanswered questions in global water policy: a methodology framework." Irrigation and drainage 52, no. 1 (2003): 21-30.
Rijsberman, Frank R. "Water scarcity: fact or fiction?." Agricultural water management 80, no. 1 (2006): 5-22.
Vaghefi, S. Ashraf, S. J. Mousavi, K. C. Abbaspour, R. Srinivasan, and J. R. Arnold. "Integration of hydrologic and water allocation models in basin-scale water resources management considering crop pattern and climate change: Karkheh River Basin in Iran." Regional environmental change15, no. 3 (2015): 475-484.
Faramarzi, M., H. Yang, J. Mousavi, R. Schulin, C. R. Binder, and Karim C. Abbaspour. "Analysis of intra-country virtual water trade strategy to alleviate water scarcity in Iran." Hydrology and Earth System Sciences 14, no. 8 (2010): 1417.
Su, Xiaoling, Jianfang Li, and Vijay P. Singh. “Optimal Allocation of Agricultural Water Resources Based on Virtual Water Subdivision in Shiyang River Basin.” Water Resources Management 28, no. 8 (April 12, 2014): 2243–2257. doi:10.1007/s11269-014-0611-5.
Faramarzi, M., H. Yang, J. Mousavi, R. Schulin, C. R. Binder, and K. C. Abbaspour. “Analysis of Intra-Country Virtual Water Trade Strategy to Alleviate Water Scarcity in Iran.” Hydrology and Earth System Sciences Discussions 7, no. 2 (April 28, 2010): 2609–2649. doi:10.5194/hessd-7-2609-2010.
Allan, J.A. “Virtual Water: A Strategic Resource Global Solutions to Regional Deficits.” Ground Water 36, no. 4 (July 1998): 545–546. doi:10.1111/j.1745-6584.1998.tb02825.x.
Aldaya, M.M., J.A. Allan, and A.Y. Hoekstra. “Strategic Importance of Green Water in International Crop Trade.” Ecological Economics 69, no. 4 (February 2010): 887–894. doi:10.1016/j.ecolecon.2009.11.001.
Aldaya, M. M., Chapagain, A. K., Hoekstra, A. Y. and Mekonnen, M. M. The water footprint assessment manual: Setting the global standard, Routledge. (2012).
Chapagain, A.K., and A.Y. Hoekstra. “The Water Footprint of Coffee and Tea Consumption in the Netherlands.” Ecological Economics 64, no. 1 (October 2007): 109–118. doi:10.1016/j.ecolecon.2007.02.022.
Li, Y.P., J. Liu, and G.H. Huang. “A Hybrid Fuzzy-Stochastic Programming Method for Water Trading Within an Agricultural System.” Agricultural Systems 123 (January 2014): 71–83. doi:10.1016/j.agsy.2013.10.001.
Fracasso, Andrea, Martina Sartori, and Stefano Schiavo. “Determinants of Virtual Water Flows in the Mediterranean.” Science of The Total Environment 543 (February 2016): 1054–1062. doi:10.1016/j.scitotenv.2015.02.059.
Liu, Xia, Jiří Jaromír Klemeš, Petar Sabev Varbanov, Lidija Čuček, and Yu Qian. “Virtual Carbon and Water Flows Embodied in International Trade: a Review on Consumption-Based Analysis.” Journal of Cleaner Production 146 (March 2017): 20–28. doi:10.1016/j.jclepro.2016.03.129.
Das, Biswadip, Ajay Singh, Sudhindra N. Panda, and Hiroshi Yasuda. “Optimal Land and Water Resources Allocation Policies for Sustainable Irrigated Agriculture.” Land Use Policy 42 (January 2015): 527–537. doi:10.1016/j.landusepol.2014.09.012.
Barlow, Paul M., David P. Ahlfeld, and David C. Dickerman. “Conjunctive-Management Models for Sustained Yield of Stream-Aquifer Systems.” Journal of Water Resources Planning and Management 129, no. 1 (January 2003): 35–48. doi:10.1061/(asce)0733-9496(2003)129:1(35).
Pulido-Velázquez, Manuel, Joaquín Andreu, and Andrés Sahuquillo. “Economic Optimization of Conjunctive Use of Surface Water and Groundwater at the Basin Scale.” Journal of Water Resources Planning and Management 132, no. 6 (November 2006): 454–467. doi:10.1061/(asce)0733-9496(2006)132:6(454).
Karamouz, M., A. Ahmadi, and S. Nazif. "Development of management schemes in irrigation planning: economic and crop pattern consideration." Trans. Civ. Eng 16, no. 6 (2009): 457-466.
Singh, Ajay, and Sudhindra Nath Panda. “Development and Application of an Optimization Model for the Maximization of Net Agricultural Return.” Agricultural Water Management 115 (December 2012): 267–275. doi:10.1016/j.agwat.2012.09.014.
Nikoo, Mohammad Reza, Akbar Karimi, Reza Kerachian, Hamed Poorsepahy-Samian, and Farhang Daneshmand. “Rules for Optimal Operation of Reservoir-River-Groundwater Systems Considering Water Quality Targets: Application of M5P Model.” Water Resources Management 27, no. 8 (March 2, 2013): 2771–2784. doi:10.1007/s11269-013-0314-3.
Wu, Xin, Yi Zheng, Bin Wu, Yong Tian, Feng Han, and Chunmiao Zheng. “Optimizing Conjunctive Use of Surface Water and Groundwater for Irrigation to Address Human-Nature Water Conflicts: A Surrogate Modeling Approach.” Agricultural Water Management 163 (January 2016): 380–392. doi:10.1016/j.agwat.2015.08.022.
Madani, Kaveh. “Game Theory and Water Resources.” Journal of Hydrology 381, no. 3–4 (February 2010): 225–238. doi:10.1016/j.jhydrol.2009.11.045.
Abed-Elmdoust, Armaghan, and Reza Kerachian. “Water Resources Allocation Using a Cooperative Game with Fuzzy Payoffs and Fuzzy Coalitions.” Water Resources Management 26, no. 13 (August 1, 2012): 3961–3976. doi:10.1007/s11269-012-0115-0.
Nikoo, Mohammad Reza, Reza Kerachian, and Mohammad Hossein Niksokhan. “Equitable Waste Load Allocation in Rivers Using Fuzzy Bi-Matrix Games.” Water Resources Management 26, no. 15 (October 9, 2012): 4539–4552. doi:10.1007/s11269-012-0165-3.
Liu, Yaolin, Wei Tang, Jianhua He, Yanfang Liu, Tinghua Ai, and Dianfeng Liu. “A Land-Use Spatial Optimization Model Based on Genetic Optimization and Game Theory.” Computers, Environment and Urban Systems 49 (January 2015): 1–14. doi:10.1016/j.compenvurbsys.2014.09.002.
Mehrparvar, Milad, Azadeh Ahmadi, and Hamid Reza Safavi. “Social Resolution of Conflicts over Water Resources Allocation in a River Basin Using Cooperative Game Theory Approaches: a Case Study.” International Journal of River Basin Management 14, no. 1 (December 8, 2015): 33–45. doi:10.1080/15715124.2015.1081209.
Wang, L.Z. “Water Resources Allocation: A Cooperative Game Theoretic Approach.” Journal of Environmental Informatics 2, no. 2 (December 2003): 11–22. doi:10.3808/jei.200300019.
Mahjouri, Najmeh, and Mojtaba Ardestani. “A Game Theoretic Approach for Interbasin Water Resources Allocation Considering the Water Quality Issues.” Environmental Monitoring and Assessment 167, no. 1–4 (July 22, 2009): 527–544. doi:10.1007/s10661-009-1070-y.
Madani, Kaveh, and Ariel Dinar. “Cooperative Institutions for Sustainable Common Pool Resource Management: Application to Groundwater.” Water Resources Research 48, no. 9 (September 2012). doi:10.1029/2011wr010849.
Sechi, Giovanni M., Riccardo Zucca, and Paola Zuddas. “Water Costs Allocation in Complex Systems Using a Cooperative Game Theory Approach.” Water Resources Management 27, no. 6 (November 6, 2012): 1781–1796. doi:10.1007/s11269-012-0171-5.
Yang, Chao-Chung, Liang-Cheng Chang, Chang-Shian Chen, and Ming-Sheng Yeh. “Multi-Objective Planning for Conjunctive Use of Surface and Subsurface Water Using Genetic Algorithm and Dynamics Programming.” Water Resources Management 23, no. 3 (August 8, 2008): 417–437. doi:10.1007/s11269-008-9281-5.
Peralta, Richard C., Ali Forghani, and Hala Fayad. “Multiobjective Genetic Algorithm Conjunctive Use Optimization for Production, Cost, and Energy with Dynamic Return Flow.” Journal of Hydrology 511 (April 2014): 776–785. doi:10.1016/j.jhydrol.2014.01.044.
Nikoo, Mohammad Reza, Iman Varjavand, Reza Kerachian, Moharram D. Pirooz, and Akbar Karimi. “Multi-Objective optimumA Design of Double-Layer Perforated-Wall Breakwaters: Application of NSGA-II and Bargaining Models.” Applied Ocean Research 47 (August 2014): 47–52. doi:10.1016/j.apor.2013.12.001.
Deb, K., A. Pratap, S. Agarwal, and T. Meyarivan. “A Fast and Elitist Multiobjective Genetic Algorithm: NSGA-II.” IEEE Transactions on Evolutionary Computation 6, no. 2 (April 2002): 182–197. doi:10.1109/4235.996017.
Nikoo, Mohammad Reza, Reza Kerachian, Mohammad Hossein Niksokhan, and Pouyan Hatami Bahman Beiglou. "A game theoretic model for trading pollution discharge permits in river systems." International Journal of Environmental Science and Development 2, no. 2 (2011): 162.
Alizadeh, Mohammad Reza, Mohammad Reza Nikoo, and Gholam Reza Rakhshandehroo. “Developing a Multi-Objective Conflict-Resolution Model for Optimal Groundwater Management Based on Fallback Bargaining Models and Social Choice Rules: a Case Study.” Water Resources Management 31, no. 5 (February 23, 2017): 1457–1472. doi:10.1007/s11269-017-1588-7.
Eschenauer, Hans A. “Multicriteria Optimization Techniques for Highly Accurate Focusing Systems.” Multicriteria Optimization in Engineering and in the Sciences (1988): 309–354. doi:10.1007/978-1-4899-3734-6_10.
Ranjbar, Ali, and Najmeh Mahjouri. “Development of an Efficient Surrogate Model Based on Aquifer Dimensions to Prevent Seawater Intrusion in Anisotropic Coastal Aquifers, Case Study: The Qom Aquifer in Iran.” Environmental Earth Sciences 77, no. 11 (June 2018). doi:10.1007/s12665-018-7592-2.
Shapley, L. S. “17. A Value for n-Person Games.” Contributions to the Theory of Games (AM-28), Volume II (n.d.) (1953): 307-317. doi:10.1515/9781400881970-018.
Shapley, Lloyd S., and Martin Shubik. Game Theory in Economics: Characteristic function, core, and stable set. Vol. 6. Rand, 1973.
Young, H. P., N. Okada, and T. Hashimoto. “Cost Allocation in Water Resources Development.” Water Resources Research 18, no. 3 (June 1982): 463–475. doi:10.1029/wr018i003p00463.
Lejano, Raul P., and Climis A. Davos. "Cooperative solutions for sustainable resource management." Environmental Management 24, no. 2 (1999): 167-175.
Shoubi, Mojtaba Valinejad, Azin Shakiba Barough, and Omidreza Amirsoleimani. “Application of Cost Allocation Concepts of Game Theory Approach for Cost Sharing Process.” Research Journal of Applied Sciences, Engineering and Technology 5, no. 12 (April 10, 2013): 3457–3464. doi:10.19026/rjaset.5.4593.
Sheikhmohammady, Majid, and Kaveh Madani. “Bargaining over the Caspian Sea — The Largest Lake on the Earth.” World Environmental and Water Resources Congress 2008 (May 2008). doi:10.1061/40976(316)262.
Brams, Steven J., and D. Marc Kilgour. Group Decision and Negotiation 10, no. 4 (2001): 287–316. doi:10.1023/a:1011252808608.
Iran, Golestan regional water company. 2010. The final report of updating the Golestan basin and water resource balance study.
DOI: 10.28991/cej-0309175
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