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Optimization of the irrigation water resources for Shijin irrigation district in north China

Author

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  • Yang, Gaiqiang
  • Guo, Ping
  • Huo, Lijuan
  • Ren, Chongfeng

Abstract

In this study, a nonlinear fuzzy interval irrigation optimization model is developed for optimal agricultural water allocation in Shijin irrigation district, Hebei province, China. The developed method can deal with interval values and fuzzy numbers in a nonlinear objective and a set of constraints including water availability, evapotranspiration, reservoir water priority, fairness, etc. Three different scenarios (under dry, normal, and wet years) were considered. As the result, the optimal water allocation schemes, both from reservoir water and ground water, were obtained. Under fuzzy degree of membership level that equals to 1.0, the system benefits are 1.53×109 RMB for dry years, 1.61×109 RMB for normal years and 1.61×109 RMB for wet years. The solutions can not only provide an effective evaluation under preset scenarios, but also reveal the associated economic implications. Three aspects have been improved in this study compared with previous studies: (1) the model has capability of incorporating multiple water resources, multiple subareas, multiple crops, and multiple growth stages of water resources management within the optimization framework; (2) in order to address the uncertain parameters which are not sufficient or imprecise in the practical problems, a nonlinear fuzzy interval irrigation optimization model (NFIIOM) is developed by incorporating interval parameters programming and fuzzy programming; (3) after applying the developed model to a real case study, the reasonable solutions has been gotten and the results can be used to help the manager to establish effective water allocation plan for agricultural irrigation systems under uncertainty, and thus maximize the benefit of local farmers.

Suggested Citation

  • Yang, Gaiqiang & Guo, Ping & Huo, Lijuan & Ren, Chongfeng, 2015. "Optimization of the irrigation water resources for Shijin irrigation district in north China," Agricultural Water Management, Elsevier, vol. 158(C), pages 82-98.
    • Handle: RePEc:eee:agiwat:v:158:y:2015:i:c:p:82-98
    DOI: 10.1016/j.agwat.2015.04.006
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    4. Chongfeng Ren & Jiantao Yang & Hongbo Zhang, 2019. "An inexact fractional programming model for irrigation water resources optimal allocation under multiple uncertainties," PLOS ONE, Public Library of Science, vol. 14(6), pages 1-17, June.
    5. 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.
    6. 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).
    7. Gaiqiang Yang & Ping Guo & Mo Li & Shiqi Fang & Liudong Zhang, 2016. "An Improved Solving Approach for Interval-Parameter Programming and Application to an Optimal Allocation of Irrigation Water Problem," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(2), pages 701-729, January.
    8. Wenjie Geng & Xiaohui Jiang & Yuxin Lei & Jinyan Zhang & Huan Zhao, 2021. "The Allocation of Water Resources in the Midstream of Heihe River for the “97 Water Diversion Scheme” and the “Three Red Lines”," IJERPH, MDPI, vol. 18(4), pages 1-19, February.
    9. Li, Jiang & Shang, Songhao & Jiang, Hongzhe & Song, Jian & Rahman, Khalil Ur & Adeloye, Adebayo J., 2021. "Simulation-based optimization for spatiotemporal allocation of irrigation water in arid region," Agricultural Water Management, Elsevier, vol. 254(C).
    10. Mohammad Ebrahim Banihabib & Mahmoud Mohammad Rezapour Tabari & Mohsen Mohammad Rezapour Tabari, 2019. "Development of a Fuzzy Multi-Objective Heuristic Model for Optimum Water Allocation," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(11), pages 3673-3689, September.
    11. Mandal, Uday & Dhar, Anirban & Panda, Sudhindra N., 2021. "Enhancement of sustainable agricultural production system by integrated natural resources management framework under climatic and operational uncertainty," Agricultural Water Management, Elsevier, vol. 252(C).
    12. 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.
    13. Yang, Gaiqiang & Liu, Lei & Guo, Ping & Li, Mo, 2017. "A flexible decision support system for irrigation scheduling in an irrigation district in China," Agricultural Water Management, Elsevier, vol. 179(C), pages 378-389.
    14. Guo, Daxin & Olesen, Jørgen Eivind & Manevski, Kiril & Ma, Xiaoyi, 2021. "Optimizing irrigation schedule in a large agricultural region under different hydrologic scenarios," Agricultural Water Management, Elsevier, vol. 245(C).
    15. Zhang, Chenglong & Li, Xuemin & Guo, Ping & Huo, Zailin, 2020. "An improved interval-based fuzzy credibility-constrained programming approach for supporting optimal irrigation water management under uncertainty," Agricultural Water Management, Elsevier, vol. 238(C).

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