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Sustainable Management and Environmental Protection for Basin Water Allocation: Differential Game-based Multiobjective Programming

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Abstract

It is important to manage water resources via emergy theory and its implementation mechanism for water dispatching while considering both economic development and environmental needs. The contribution of this paper is to propose a multi-objective dynamic differential game that can determine the optimal tax rate (OTR), optimal trading quantity of water (OTQW) in each province, and optimal bargain price (OBP) to balance resource consumption, economic development and environmental protection. Considering the sustainability of the ecological environment, the quantification of negative sewage value and net carbon emission constraints are introduced into the water allocation. To maximize the target revenue functions, minimize the net carbon emission constraints and obtain sustainable equilibrium solutions in this triple-level game, the costate function, Hamiltonian, and Lagrangian multiplier method are introduced. Then, a water dispatching structure is constructed for error correction between the predicted and actual runoff of the YRB. Taking the Yellow River Basin as an example, the validity of the proposed framework and solution method were verified under different hydrological years, with 6.5% ~ 9.1% higher economic benefits than other schemes and 4.3% ~ 5.9% lower net carbon emissions than other schemes. Compared to previous studies, this scheme can better meet the requirements of sustainable development and environmental protection.

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Availability of Data and Materials

The data that support the findings of this study can be found online at http://www.yellowriver.gov.cn/doi.org/10.1016/0165-1889(89)90011-0.

References

  • Araral E, Wu X (2016) Comparing water resources management in China and India: Policy design, institutional structure and governance. Water Policy 18(S1):1–13

    Article  Google Scholar 

  • Bagatin R, Klemes JJ, Reverberi AP, Huisingh D (2014) Conservation and improvements in water resource management: a global challenge. J Clean Prod 77(77):1–9

    Article  Google Scholar 

  • Bajany DM, Zhang L, Xu Y, Xia X (2021) Optimisation approach toward water management and energy security in arid/semiarid regions. Environ Process 8(4):1455–1480

    Article  Google Scholar 

  • Bekchanov M, Bhaduri A, Ringler C (2015) Potential gains from water rights trading in the Aral Sea Basin. Agr Water Manage 152(6):41–56

    Article  Google Scholar 

  • Boelens R, Hoogesteger J, Rodriguez JC (2014) Commoditizing water territories: the clash between Andean water rights cultures and payment for environmental services policies. Capital Nat Social 25(3):84–102

    Article  Google Scholar 

  • Cosgrove WJ, Loucks DP (2015) Water management: Current and future challenges and research directions. Water Resour Res 51(6):4823–4839

    Article  Google Scholar 

  • Degefu DM, He W, Zhao JH (2017) Transboundary water allocation under water scarce and uncertain conditions: a stochastic bankruptcy approach. Water Policy 19(3):479–495

    Article  Google Scholar 

  • Ebrahimi A, Rahimi D, Joghataei M, Movahedi S (2021) Correlation wavelet analysis for linkage between winter precipitation and three oceanic sources in Iran. Environ Process 8(3):1027–1045

    Article  Google Scholar 

  • Green GP, Hamilton JR (2000) Water allocation, transfers and conservation: Links between policy and hydrology. Int J Water Resour D 16(2):197–208

    Article  Google Scholar 

  • He Y, Chen X, Sheng Z, Lin K, Gui F (2018) Water allocation under the constraint of total water-use quota: a case from Dongjiang River Basin, South China. Hydrolog Sci J 63(1):154–167

    Article  Google Scholar 

  • Hillman B, Douglas EM, Terkla D (2012) An analysis of the allocation of Yakima River water in terms of sustainability and economic efficiency. J Environ Manag 103:102–112

    Article  Google Scholar 

  • Huang Z, Liu X, Sun S (2021) Global assessment of future sectoral water scarcity under adaptive inner-basin water allocation measures. Sci Total Environ 783:146973

    Article  Google Scholar 

  • Janjua S, Hassan I (2020) Use of bankruptcy methods for resolving interprovincial water conflicts over transboundary river: Case study of Indus River in Pakistan. River Res Appl 36(7):1334–1344

    Article  Google Scholar 

  • Kazemi M, Bozorg HO, Fallah ME, Loáiciga HA (2020) Inter-basin hydropolitics for optimal water resources allocation. Environ Monit Assess 192(7):478

    Article  Google Scholar 

  • Liu D, Ji X, Tang J, Li H (2020) A fuzzy cooperative game theoretic approach for multinational water resource spatiotemporal allocation. Eur J Oper Res 282(3):1025–1037

    Article  Google Scholar 

  • Liu J, Li YP, Huang GH, Zeng XT (2014) A dual-interval fixed-mix stochastic programming method for water resources management under uncertainty. Resour Conserv Recycl 88:50–66

    Article  Google Scholar 

  • Medeiros DF, Urtiga MM, Morais DC (2017) Integrative negotiation model to support water resources management. J Clean Prod 150:148–163

    Article  Google Scholar 

  • Nicklow J, Reed P, Savic D, Dessalegne T, Harrell L, Chan A (2010) State of the art for genetic algorithms and beyond in water resources planning and management. J Water Res Plan Manag 136(4):412–432

    Article  Google Scholar 

  • Qin XS, Huang GH, Zeng GM, Chakma A, Huang YF (2012) A linear-parameter fuzzy nonlinear optimization model for stream water quality management under uncertainty. Eur J Oper Res 180:1331–1357

    Article  Google Scholar 

  • Shen C (2018) A transdisciplinary review of deep learning research and its relevance for water resources scientists. Water Resour Res 54(11):8558–8593

    Article  Google Scholar 

  • Shen X, Wu X, Xie X, Wei C, Li L, Zhang J (2021) Synergetic theory-based water resource allocation model. Water Resour Manag 35(7):2053–2078

    Article  Google Scholar 

  • Suo MQ, Li YP, Huang GH, Deng DL, Li YF (2013) Electric power system planning under uncertainty using inexact inventory nonlinear programming method. J Environ Inform 22(1):49–67

    Article  Google Scholar 

  • Tayfur G (2017) Modern optimization methods in water resources planning, engineering and management. Water Resour Manag 31(10):3205–3233

    Article  Google Scholar 

  • Wang T, Zhang J, Li Y (2022) Optimal design of two-dimensional water trading based on risk aversion for sustainable development of Daguhe watershed, China. J Environ Manage 309:114679

    Article  Google Scholar 

  • Wang Y, Peng SM, Wu J (2019) Review of the implementation of the Yellow River water allocation scheme for thirty years. Yellow River 41(9):6–9

    Google Scholar 

  • Xu J, Lv C, Yao L, Hou S (2019) Intergenerational equity based optimal water allocation for sustainable development: a case study on the upper reaches of Minjiang River, China. J Hydrol 568:835–848

    Article  Google Scholar 

  • Yeh WW, Becker L, Hua S, Wen D, Liu J (1992) Optimization of real-time hydrothermal system operation. J Water Res Plan Man 118(6):636–653

    Article  Google Scholar 

  • Zhao B, Ren Y, Gao D, Xu L (2019) Performance ratio prediction of photovoltaic pumping system based on grey clustering and second curvelet neural network. Energy 171:360–371

    Article  Google Scholar 

  • Zheng Y, Sang X, Liu Z, Zhang S, Liu P (2022) Water allocation management under scarcity: a bankruptcy approach. Water Resour Manag 36(9):2891–2912

    Article  Google Scholar 

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Funding

This research was supported by the National Natural Science Foundation of China (52109039) and the Key Scientific Research Project plan of Henan Province (22A570008).

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Authors and Affiliations

  1. School of Water Conservancy Engineering, Zhengzhou University, Zhengzhou, People’s Republic of China

    Danyang Di, Qi Shi, Zening Wu & Huiliang Wang

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  1. Danyang Di
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  2. Qi Shi
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  3. Zening Wu
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  4. Huiliang Wang
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Contributions

Conceptualization & methodology, D.D. and Z.W.; methodology, Q.S.; software, D.D. and Z.W.; validation, D.D.; data curation, D.D. and Z.W.; writing—original draft preparation, D.D.; writing—review and editing, H.W..

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Correspondence to Huiliang Wang.

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The authors declare that there are no financial or non-financial competing interests related to this article. The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

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Di, D., Shi, Q., Wu, Z. et al. Sustainable Management and Environmental Protection for Basin Water Allocation: Differential Game-based Multiobjective Programming. Water Resour Manage 37, 1–20 (2023). https://doi.org/10.1007/s11269-022-03351-6

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