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An interval multi-objective programming model for irrigation water allocation under uncertainty

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  • Li, Mo
  • Fu, Qiang
  • Singh, Vijay P.
  • Liu, Dong

Abstract

An interval linear multi-objective programming (ILMP) model for irrigation water allocation was developed, considering conflicting objectives and uncertainties. Based on the generation of interval numbers through statistical simulation, the ILMP model was solved using a fuzzy programming method. The model balances contradictions among economic net benefit, crop yield and water-saving in irrigation systems incorporating uncertainties in both objective functions and constraints that are based on the conjunctive use of surface water and groundwater. The model was applied to Hulan River irrigation district, northeast China. Tradeoffs between various crops in different subareas under different frequencies were analyzed, and scenarios with different objectives were considered to evaluate the changing trend of irrigation water allocation.Results indicated that the ILMP model provided effective linkages between revenue/output promotion and water saving, and offers insights into tradeoffs for irrigation water management under uncertainty.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:agiwat:v:196:y:2018:i:c:p:24-36
    DOI: 10.1016/j.agwat.2017.10.016
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    Cited by:

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    2. Liu, Wei & Fu, Qiang & Meng, Jun & Li, Tianxiao & Cheng, Kun, 2019. "Simulation and analysis of return flow at the field scale in the northern rice irrigation area of China," Agricultural Water Management, Elsevier, vol. 224(C), pages 1-1.
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    4. Ajay Singh, 2022. "Better Water and Land Allocation for Long-term Agricultural Sustainability," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 36(10), pages 3505-3522, August.
    5. 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).
    6. Elleuch, Mohamed Ali & Anane, Makram & Euchi, Jalel & Frikha, Ahmed, 2019. "Hybrid fuzzy multi-criteria decision making to solve the irrigation water allocation problem in the Tunisian case," Agricultural Systems, Elsevier, vol. 176(C).
    7. Li, Jiang & Song, Jian & Li, Mo & Shang, Songhao & Mao, Xiaomin & Yang, Jian & Adeloye, Adebayo J., 2018. "Optimization of irrigation scheduling for spring wheat based on simulation-optimization model under uncertainty," Agricultural Water Management, Elsevier, vol. 208(C), pages 245-260.
    8. Jing Tian & Dedi Liu & Shenglian Guo & Zhengke Pan & Xingjun Hong, 2019. "Impacts of Inter-Basin Water Transfer Projects on Optimal Water Resources Allocation in the Hanjiang River Basin, China," Sustainability, MDPI, vol. 11(7), pages 1-19, April.
    9. Yu, L. & Xiao, Y. & Jiang, S. & Li, Y.P. & Fan, Y.R. & Huang, G.H. & Lv, J. & Zuo, Q.T. & Wang, F.Q., 2020. "A copula-based fuzzy interval-random programming approach for planning water-energy nexus system under uncertainty," Energy, Elsevier, vol. 196(C).
    10. Min Chen & Songhao Shang & Wei Li, 2020. "Integrated Modeling Approach for Sustainable Land-Water-Food Nexus Management," Agriculture, MDPI, vol. 10(4), pages 1-19, April.
    11. 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.
    12. Li, Mo & Cao, Xiaoxu & Liu, Dong & Fu, Qiang & Li, Tianxiao & Shang, Ruochen, 2022. "Sustainable management of agricultural water and land resources under changing climate and socio-economic conditions: A multi-dimensional optimization approach," Agricultural Water Management, Elsevier, vol. 259(C).
    13. Chongfeng Ren & Hongbo Zhang, 2019. "An Inexact Optimization Model for Crop Area Under Multiple Uncertainties," IJERPH, MDPI, vol. 16(14), pages 1-20, July.
    14. Knowling, Matthew J. & Walker, Rob R. & Pellegrino, Anne & Edwards, Everard J. & Westra, Seth & Collins, Cassandra & Ostendorf, Bertram & Bennett, Bree, 2023. "Generalized water production relations through process-based modeling: A viticulture example," Agricultural Water Management, Elsevier, vol. 280(C).
    15. Zuo, Qiting & Wu, Qingsong & Yu, Lei & Li, Yongping & Fan, Yurui, 2021. "Optimization of uncertain agricultural management considering the framework of water, energy and food," Agricultural Water Management, Elsevier, vol. 253(C).
    16. Reza Sepahvand & Hamid R. Safavi & Farshad Rezaei, 2019. "Multi-Objective Planning for Conjunctive Use of Surface and Ground Water Resources Using Genetic Programming," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(6), pages 2123-2137, April.
    17. Wenzhe Luo & Yanling Jiang & Yuansheng Chen & Zhigang Yu, 2023. "Coupling Coordination and Spatial-Temporal Evolution of Water-Land-Food Nexus: A Case Study of Hebei Province at a County-Level," Land, MDPI, vol. 12(3), pages 1-22, March.
    18. Li, Mo & Fu, Qiang & Singh, Vijay P. & Liu, Dong & Gong, Xinglong, 2020. "Risk-based agricultural water allocation under multiple uncertainties," Agricultural Water Management, Elsevier, vol. 233(C).
    19. Li, Xuemin & Zhang, Chenglong & Huo, Zailin & Adeloye, Adebayo J., 2020. "A sustainable irrigation water management framework coupling water-salt processes simulation and uncertain optimization in an arid area," Agricultural Water Management, Elsevier, vol. 231(C).
    20. Mardani Najafabadi, Mostafa & Magazzino, Cosimo & Valente, Donatella & Mirzaei, Abbas & Petrosillo, Irene, 2023. "A new interval meta-goal programming for sustainable planning of agricultural water-land use nexus," Ecological Modelling, Elsevier, vol. 484(C).
    21. Yunquan Zhang & Peiling Yang, 2023. "A Simulation-Based Optimization Model for Control of Soil Salinization in the Hetao Irrigation District, Northwest China," Sustainability, MDPI, vol. 15(5), pages 1-20, March.
    22. Bingkui Qiu & Yan Tu & Guoliang Ou & Min Zhou & Yifan Zhu & Shuhan Liu & Haoyang Ma, 2023. "Optimal Modeling of Sustainable Land Use Planning under Uncertain at a Watershed Level: Interval Stochastic Fuzzy Linear Programming with Chance Constraints," Land, MDPI, vol. 12(5), pages 1-21, May.

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