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A full fuzzy-interval credibility-constrained nonlinear programming approach for irrigation water allocation under uncertainty

Author

Listed:
  • Yue, Qiong
  • Zhang, Fan
  • Zhang, Chenglong
  • Zhu, Hua
  • Tang, Yikuan
  • Guo, Ping

Abstract

To address the water shortage caused by various natural conditions and ineffective irrigation water management in the Zhanghe Irrigation District (ZID) of the Yangtze River basin in China, a full fuzzy-interval credibility-constrained nonlinear programming (FFICNP) model is developed under uncertainty. Derived through incorporating fuzzy credibility constrained programming into the Jensen model optimization framework, FFICNP can not only address intervals (single uncertainty) and fuzzy-interval sets (dual uncertainties) in the model objectives and double-sided constraints, but also reflect nonlinear responsive relationships between the crop yields and irrigation levels by introducing the crop water production functions (CWPFs) under different growth stages. Moreover, an expected-value-based (EVB) approach is introduced to solve the FFICNP model. The FFICNP model is then applied to the case study of irrigation water allocation in the ZID for demonstrating its applicability. Optimal solutions can be generated from the FFICNP model for solving the irrigation water allocation problem under uncertainty. The results indicate that a lower credibility level corresponds to a higher level of system benefits and system efficiency. The system benefits of ZID in a wet year are [17.72, 24.23] × 109 CNY when λ = 1.0 and [17.79, 25.03] × 109 CNY when λ = 0.6. These findings from the FFICNP model can support in-depth analysis of interrelationships among irrigation water allocation schemes, system benefits, and credibility levels, and thus contribute to the effectiveness of irrigation water management under various inflow levels and complex uncertainties.

Suggested Citation

  • 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).
  • Handle: RePEc:eee:agiwat:v:230:y:2020:i:c:s0378377419309291
    DOI: 10.1016/j.agwat.2019.105961
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    1. Zhang, Heping & Oweis, Theib, 1999. "Water-yield relations and optimal irrigation scheduling of wheat in the Mediterranean region," Agricultural Water Management, Elsevier, vol. 38(3), pages 195-211, January.
    2. Yu, L. & Li, Y.P. & Huang, G.H., 2016. "A fuzzy-stochastic simulation-optimization model for planning electric power systems with considering peak-electricity demand: A case study of Qingdao, China," Energy, Elsevier, vol. 98(C), pages 190-203.
    3. Shangguan, Zhouping & Shao, Mingan & Horton, Robert & Lei, Tingwu & Qin, Lin & Ma, Jianqing, 2002. "A model for regional optimal allocation of irrigation water resources under deficit irrigation and its applications," Agricultural Water Management, Elsevier, vol. 52(2), pages 139-154, January.
    4. Li, Mo & Fu, Qiang & Singh, Vijay P. & Liu, Dong, 2018. "An interval multi-objective programming model for irrigation water allocation under uncertainty," Agricultural Water Management, Elsevier, vol. 196(C), pages 24-36.
    5. Niu, G. & Li, Y.P. & Huang, G.H. & Liu, J. & Fan, Y.R., 2016. "Crop planning and water resource allocation for sustainable development of an irrigation region in China under multiple uncertainties," Agricultural Water Management, Elsevier, vol. 166(C), pages 53-69.
    6. Cai, Ximing & McKinney, Daene C. & Rosegrant, Mark W., 2003. "Sustainability analysis for irrigation water management in the Aral Sea region," Agricultural Systems, Elsevier, vol. 76(3), pages 1043-1066, June.
    7. Zhang, Fan & Guo, Ping & Engel, Bernard A. & Guo, Shanshan & Zhang, Chenglong & Tang, Yikuan, 2019. "Planning seasonal irrigation water allocation based on an interval multiobjective multi-stage stochastic programming approach," Agricultural Water Management, Elsevier, vol. 223(C), pages 1-1.
    8. Li, X.M. & Lu, H.W. & Li, J. & Du, P. & Xu, M. & He, L., 2015. "A modified fuzzy credibility constrained programming approach for agricultural water resources management—A case study in Urumqi, China," Agricultural Water Management, Elsevier, vol. 156(C), pages 79-89.
    9. 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.
    10. Zhang, Chenglong & Guo, Ping, 2018. "FLFP: A fuzzy linear fractional programming approach with double-sided fuzziness for optimal irrigation water allocation," Agricultural Water Management, Elsevier, vol. 199(C), pages 105-119.
    11. Zhang, Dongmei & Guo, Ping, 2016. "Integrated agriculture water management optimization model for water saving potential analysis," Agricultural Water Management, Elsevier, vol. 170(C), pages 5-19.
    12. Zhang, Fan & Zhang, Chenglong & Yan, Zehao & Guo, Shanshan & Wang, Youzhi & Guo, Ping, 2018. "An interval nonlinear multiobjective programming model with fuzzy-interval credibility constraint for crop monthly water allocation," Agricultural Water Management, Elsevier, vol. 209(C), pages 123-133.
    13. 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.
    14. Li, Mo & Guo, Ping & Singh, Vijay P., 2016. "An efficient irrigation water allocation model under uncertainty," Agricultural Systems, Elsevier, vol. 144(C), pages 46-57.
    15. Li, Mo & Guo, Ping & Singh, Vijay P. & Yang, Gaiqiang, 2016. "An uncertainty-based framework for agricultural water-land resources allocation and risk evaluation," Agricultural Water Management, Elsevier, vol. 177(C), pages 10-23.
    16. Shu Chen & Dongguo Shao & Xudong Li & Caixiu Lei, 2016. "Simulation-Optimization Modeling of Conjunctive Operation of Reservoirs and Ponds for Irrigation of Multiple Crops Using an Improved Artificial Bee Colony Algorithm," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(9), pages 2887-2905, July.
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    2. Wang, Youzhi & Guo, Shanshan & Yue, Qing & Mao, Xiaomin & Guo, Ping, 2021. "Distributed AquaCrop simulation-nonlinear multi-objective dependent-chance programming for irrigation water resources management under uncertainty," Agricultural Water Management, Elsevier, vol. 247(C).
    3. Gong, Xinghui & Zhang, Hongbo & Ren, Chongfeng & Sun, Dongyong & Yang, Jiantao, 2020. "Optimization allocation of irrigation water resources based on crop water requirement under considering effective precipitation and uncertainty," Agricultural Water Management, Elsevier, vol. 239(C).
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    5. Zhang, W.J. & Tan, Q. & Zhang, T.Y., 2021. "A risk-averse stochastic quadratic model with recourse for supporting irrigation water management in uncertain and nonlinear environments," Agricultural Water Management, Elsevier, vol. 244(C).

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