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Multi-Objective Optimal Allocation of Water Resources Based on the NSGA-2 Algorithm While Considering Intergenerational Equity: A Case Study of the Middle and Upper Reaches of Huaihe River Basin, China

Author

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  • Jitao Zhang

    (College of Hydrology and Water Resources, Hohai University, Nanjing 210098, China)

  • Zengchuan Dong

    (College of Hydrology and Water Resources, Hohai University, Nanjing 210098, China)

  • Tian Chen

    (College of Hydrology and Water Resources, Hohai University, Nanjing 210098, China)

Abstract

With the rapid development of society and the economy, the demand for water resources is increasing. This, combined with the increasing competition for water resources between current and future generations, hinders the sustainable development of society. To alleviate prominent water resources problems, achieve sustainable utilization of water resources and the sustainable development of society and economy, a multi-objective optimal water resources allocation model is proposed, in which different water sources and different water departments are considered to achieve the maximum social and economic benefits of the study area on the premise of water resources sustainability. To meet the needs of future generations, the discount value is introduced to measure intergenerational equity. A case study from seven cities in the upper and middle reaches of the Huaihe River Basin is given to verify the practicality and viability of the model. The non-dominated sorting Genetic Algorithms-2(NSGA-2) was used to find optimal water resources allocation schemes in 2020 and 2050 under the condition of a hydrological drought year (inflow guarantee rate p = 75%). Compared with previous models, the intergenerational equity model considers the sustainability of water resources, has higher social and economic benefits, and ensures the fair distribution of water resources among generations. According to the results, under balanced weight, the water shortage ratio of the seven cities will decrease from 5.24% in 2050 to 1.58% in 2020, and the economic benefit will increase from 79.46(10 10 CNY) to 168.3(10 10 CNY), respectively. In addition, the discount value of economic benefit in 2050 is 80.23(10 10 CNY), which is still higher than that in 2020. This shows that the water resource allocation scheme can eliminate the disparity between supply and demand for water resources and achieve intergenerational equity. Therefore, the intergenerational equity model can alleviate the contradiction of water resources and realize intergenerational equity.

Suggested Citation

  • Jitao Zhang & Zengchuan Dong & Tian Chen, 2020. "Multi-Objective Optimal Allocation of Water Resources Based on the NSGA-2 Algorithm While Considering Intergenerational Equity: A Case Study of the Middle and Upper Reaches of Huaihe River Basin, Chin," IJERPH, MDPI, vol. 17(24), pages 1-18, December.
    • Handle: RePEc:gam:jijerp:v:17:y:2020:i:24:p:9289-:d:460762
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    1. Xiaona Li & Xiaosheng Wang & Haiying Guo & Weimin Ma, 2020. "Multi-Water Resources Optimal Allocation Based on Multi-Objective Uncertain Chance-Constrained Programming Model," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 34(15), pages 4881-4899, December.
    2. Winter-Nelson, Alex, 1996. "Discount rates, natural resources, and the measurement of aggregate economic growth in Africa," Ecological Economics, Elsevier, vol. 17(1), pages 21-32, April.
    3. Fang Li & Feng-ping Wu & Liu-xin Chen & Yue Zhao & Xiang-nan Chen & Zhi-ying Shao, 2020. "Fair and Reasonable Allocation of Trans-Boundary Water Resources Based on an Asymmetric Nash Negotiation Model from the Satisfaction Perspective: A Case Study for the Lancang–Mekong River Bain," IJERPH, MDPI, vol. 17(20), pages 1-20, October.
    4. M. Habibi Davijani & M. E. Banihabib & A. Nadjafzadeh Anvar & S. R. Hashemi, 2016. "Multi-Objective Optimization Model for the Allocation of Water Resources in Arid Regions Based on the Maximization of Socioeconomic Efficiency," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(3), pages 927-946, February.
    5. Farzin, Y Hossein, 1984. "The Effect of the Discount Rate on Depletion of Exhaustible Resources," Journal of Political Economy, University of Chicago Press, vol. 92(5), pages 841-851, October.
    6. Pope, C. III & Perry, Greg, 1989. "Individual versus social discount rates in allocating depletable natural resources over time," Economics Letters, Elsevier, vol. 29(3), pages 257-264.
    7. Dennis Collentine, 2006. "Water Resource Economics: The Analysis of Scarcity, Policies and Projects," European Review of Agricultural Economics, Oxford University Press and the European Agricultural and Applied Economics Publications Foundation, vol. 33(3), pages 437-439, September.
    8. Ashkan Shokri & Omid Bozorg Haddad & Miguel Mariño, 2014. "Multi-Objective Quantity–Quality Reservoir Operation in Sudden Pollution," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(2), pages 567-586, January.
    9. Graciela Chichilnisky, 1996. "An axiomatic approach to sustainable development," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 13(2), pages 231-257, April.
    10. Bithas, Kostas, 2008. "The sustainable residential water use: Sustainability, efficiency and social equity. The European experience," Ecological Economics, Elsevier, vol. 68(1-2), pages 221-229, December.
    11. Alberto Garrido, 2000. "A mathematical programming model applied to the study of water markets within the Spanish agricultural sector," Annals of Operations Research, Springer, vol. 94(1), pages 105-123, January.
    12. Hyung-Il Eum & Slobodan Simonovic, 2010. "Integrated Reservoir Management System for Adaptation to Climate Change: The Nakdong River Basin in Korea," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(13), pages 3397-3417, October.
    13. Shangming Jiang & Shaowei Ning & Xiuqing Cao & Juliang Jin & Fan Song & Xianjiang Yuan & Lei Zhang & Xiaoyan Xu & Parmeshwar Udmale, 2019. "Optimal Water Resources Regulation for the Pond Irrigation System Based on Simulation—A Case Study in Jiang-Huai Hilly Regions, China," IJERPH, MDPI, vol. 16(15), pages 1-18, July.
    14. Junfei Chen & Cong Yu & Miao Cai & Huimin Wang & Pei Zhou, 2020. "Multi-Objective Optimal Allocation of Urban Water Resources While Considering Conflict Resolution Based on the PSO Algorithm: A Case Study of Kunming, China," Sustainability, MDPI, vol. 12(4), pages 1-16, February.
    15. Dariush Khezrimotlagh & Yao Chen, 2018. "The Optimization Approach," International Series in Operations Research & Management Science, in: Decision Making and Performance Evaluation Using Data Envelopment Analysis, chapter 0, pages 107-134, Springer.
    16. Yu Qiu & Yuan Liu & Yang Liu & Yingzi Chen & Yu Li, 2019. "An Interval Two-Stage Stochastic Programming Model for Flood Resources Allocation under Ecological Benefits as a Constraint Combined with Ecological Compensation Concept," IJERPH, MDPI, vol. 16(6), pages 1-18, March.
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    1. Xike Guan & Zengchuan Dong & Yun Luo & Dunyu Zhong, 2021. "Multi-Objective Optimal Allocation of River Basin Water Resources under Full Probability Scenarios Considering Wet–Dry Encounters: A Case Study of Yellow River Basin," IJERPH, MDPI, vol. 18(21), pages 1-19, November.

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