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A Multi-objective Approach for Transboundary River Water Allocation

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  • R. Roozbahani
  • B. Abbasi
  • S. Schreider
  • A. Ardakani

Abstract

The allocation of water to the stakeholders of a large basin involves conflicting objectives, since increasing the allocated water to one stakeholder leads to a reduction in water allocated to other stakeholders. The consideration of conflicting objectives is inevitable when the basin is a transboundary basin, where a river crosses at least one political border, either a border within a nation or an international boundary. This paper proposes a multi-objective optimization model for sharing water among stakeholders of a transboundary river, assuming that the stakeholders cooperate. Here, the cooperation implies a balanced water allocation to stakeholders since shortage in each stakeholder have negative impacts on others. Each objective function of the multi-objective model represents the water profit of a stakeholder; which has to be maximized. To reach a cooperative solution, a new method for transforming the multi-objective formulation to a three-step single objective formulation is proposed. The solution guarantees each stakeholder's profit which is larger than a percentage of its highest possible profit obtained in the case when the percentage of profit is equal for all stakeholders. The proposed model formulation was applied to the Sefidrud River where eight provinces are the stakeholders competing for water resources of this basin. Copyright Springer Science+Business Media Dordrecht 2014

Suggested Citation

  • R. Roozbahani & B. Abbasi & S. Schreider & A. Ardakani, 2014. "A Multi-objective Approach for Transboundary River Water Allocation," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(15), pages 5447-5463, December.
  • Handle: RePEc:spr:waterr:v:28:y:2014:i:15:p:5447-5463
    DOI: 10.1007/s11269-014-0812-y
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    References listed on IDEAS

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    6. Yan Han & Yue-Fei Huang & Guang-Qian Wang & Imran Maqsood, 2011. "A Multi-objective Linear Programming Model with Interval Parameters for Water Resources Allocation in Dalian City," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(2), pages 449-463, January.
    7. Dedi Liu & Xiaohong Chen & Zhanghua Lou, 2010. "A Model for the Optimal Allocation of Water Resources in a Saltwater Intrusion Area: A Case Study in Pearl River Delta in China," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(1), pages 63-81, January.
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    Cited by:

    1. Hu, Zhineng & Chen, Yazhen & Yao, Liming & Wei, Changting & Li, Chaozhi, 2016. "Optimal allocation of regional water resources: From a perspective of equity–efficiency tradeoff," Resources, Conservation & Recycling, Elsevier, vol. 109(C), pages 102-113.
    2. Mahdi Zarghami & Nasim Safari & Ferenc Szidarovszky & Shafiqul Islam, 2015. "Nonlinear Interval Parameter Programming Combined with Cooperative Games: a Tool for Addressing Uncertainty in Water Allocation Using Water Diplomacy Framework," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(12), pages 4285-4303, September.
    3. Fariba Avarideh & Jalal Attari & Ali Moridi, 2017. "Modelling Equitable and Reasonable Water Sharing in Transboundary Rivers: the Case of Sirwan-Diyala River," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(4), pages 1191-1207, March.
    4. Mehdi Kazemi & Omid Bozorg-Haddad & Elahe Fallah-Mehdipour & Xuefeng Chu, 2022. "Optimal water resources allocation in transboundary river basins according to hydropolitical consideration," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 24(1), pages 1188-1206, January.
    5. Fi-John Chang & Yu-Chung Wang & Wen-Ping Tsai, 2016. "Modelling Intelligent Water Resources Allocation for Multi-users," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(4), pages 1395-1413, March.
    6. Fi-John Chang & Yu-Chung Wang & Wen-Ping Tsai, 2016. "Modelling Intelligent Water Resources Allocation for Multi-users," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(4), pages 1395-1413, March.
    7. Reza Roozbahani & Babak Abbasi & Sergei Schreider & Zahra Hosseinifard, 2020. "A basin-wide approach for water allocation and dams location-allocation," Annals of Operations Research, Springer, vol. 287(1), pages 323-349, April.

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