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An inexact two-stage water management model for planning agricultural irrigation under uncertainty

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  • Li, W.
  • Li, Y.P.
  • Li, C.H.
  • Huang, G.H.

Abstract

In this study, an inexact two-stage water management (ITWM) model is developed for planning agricultural irrigation in the Zhangweinan River Basin, China. The ITWM model is derived from the incorporation of interval-parameter programming (IPP) within a two-stage stochastic programming (TSP) framework. It can reflect not only uncertainties expressed as probability distributions but also interval numbers. Moreover, it can provide an effective linkage between conflicting economic benefits and the associated penalties attributed to the violation of the predefined policies. Four decision scenarios associated with different water-resources management policies are examined. Targeted incomes, recourse costs, and net system benefits under different scenarios are analyzed, which indicates that different policies for agricultural irrigation targets correspond to different water shortages and surplus, and thus lead to varied system benefit and system-failure risk. The results are valuable for supporting the adjustment or justification of the existing irrigation patterns and identify a desired water-allocation plan for agricultural irrigation under uncertainty.

Suggested Citation

  • Li, W. & Li, Y.P. & Li, C.H. & Huang, G.H., 2010. "An inexact two-stage water management model for planning agricultural irrigation under uncertainty," Agricultural Water Management, Elsevier, vol. 97(11), pages 1905-1914, November.
    • Handle: RePEc:eee:agiwat:v:97:y:2010:i:11:p:1905-1914
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    5. Huang, Y. & Li, Y.P. & Chen, X. & Ma, Y.G., 2012. "Optimization of the irrigation water resources for agricultural sustainability in Tarim River Basin, China," Agricultural Water Management, Elsevier, vol. 107(C), pages 74-85.
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    13. Li, Mo & Guo, Ping, 2015. "A coupled random fuzzy two-stage programming model for crop area optimization—A case study of the middle Heihe River basin, China," Agricultural Water Management, Elsevier, vol. 155(C), pages 53-66.
    14. Min Zhang & Kaiyan Xi, 2020. "A New Interval Two-stage Stochastic Programming with CVaR for Water Resources Management," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 34(12), pages 3795-3807, September.
    15. Zhang, J.L. & Li, Y.P. & Wang, C.X. & Huang, G.H., 2015. "An inexact simulation-based stochastic optimization method for identifying effluent trading strategies of agricultural nonpoint sources," Agricultural Water Management, Elsevier, vol. 152(C), pages 72-90.
    16. Yue, Qiong & Zhang, Fan & Zhang, Chenglong & Zhu, Hua & Tang, Yikuan & Guo, Ping, 2020. "A full fuzzy-interval credibility-constrained nonlinear programming approach for irrigation water allocation under uncertainty," Agricultural Water Management, Elsevier, vol. 230(C).
    17. Chen, Shu & Shao, Dongguo & Gu, Wenquan & Xu, Baoli & Li, Haoxin & Fang, Longzhang, 2017. "An interval multistage water allocation model for crop different growth stages under inputs uncertainty," Agricultural Water Management, Elsevier, vol. 186(C), pages 86-97.
    18. Chen, Shu & Shao, Dongguo & Tan, Xuezhi & Gu, Wenquan & Lei, Caixiu, 2017. "An interval multistage classified model for regional inter- and intra-seasonal water management under uncertain and nonstationary condition," Agricultural Water Management, Elsevier, vol. 191(C), pages 98-112.
    19. C. Li & L. Zhang, 2015. "An Inexact Two-Stage Allocation Model for Water Resources Management Under Uncertainty," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(6), pages 1823-1841, April.
    20. Chen, Shu & Xu, Jijun & Li, Qingqing & Tan, Xuezhi & Nong, Xizhi, 2019. "A copula-based interval-bistochastic programming method for regional water allocation under uncertainty," Agricultural Water Management, Elsevier, vol. 217(C), pages 154-164.
    21. Chong Meng & Siyang Zhou & Wei Li, 2021. "An Optimization Model for Water Management under the Dual Constraints of Water Pollution and Water Scarcity in the Fenhe River Basin, North China," Sustainability, MDPI, vol. 13(19), pages 1-18, September.
    22. Shen, Z.Y. & Chen, L. & Liao, Q. & Liu, R.M. & Huang, Q., 2013. "A comprehensive study of the effect of GIS data on hydrology and non-point source pollution modeling," Agricultural Water Management, Elsevier, vol. 118(C), pages 93-102.
    23. Jackson, T.M. & Hanjra, Munir A. & Khan, S. & Hafeez, M.M., 2011. "Building a climate resilient farm: A risk based approach for understanding water, energy and emissions in irrigated agriculture," Agricultural Systems, Elsevier, vol. 104(9), pages 729-745.

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