IDEAS home Printed from https://ideas.repec.org/a/eee/agisys/v144y2016icp46-57.html
   My bibliography  Save this article

An efficient irrigation water allocation model under uncertainty

Author

Listed:
  • Li, Mo
  • Guo, Ping
  • Singh, Vijay P.

Abstract

An interval linear fractional irrigation water allocation (ILFIWA) model is developed in response to the complexity of errors in estimating crop yields, fluctuating hydrological elements as well as varying economic profits in an irrigation system. The model is capable of quantitatively solving multi-objective problems, i.e. to obtain the maximum system net benefit and the minimum irrigation water use. Particularly, it can handle multi-objective functions expressed as ratios, such as irrigation water productivity. Moreover, it can reflect the uncertainties of the variables/parameters and functions involved. The potential of the developed model is shown by applying to a case study in northwest China. Results of the model can help make irrigation water allocation decisions for different time periods under varying flow levels. Comparison between ILFIWA model and ordinary interval linear programming model shows that the developed model is conducive to improving irrigation water productivity and saving irrigation water, and helping decision makers formulate desired irrigation water resources management policies under uncertainty.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:agisys:v:144:y:2016:i:c:p:46-57
    DOI: 10.1016/j.agsy.2016.02.003
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0308521X16300208
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.agsy.2016.02.003?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Hladík, Milan, 2010. "Generalized linear fractional programming under interval uncertainty," European Journal of Operational Research, Elsevier, vol. 205(1), pages 42-46, August.
    2. Li, Y.P. & Liu, J. & Huang, G.H., 2014. "A hybrid fuzzy-stochastic programming method for water trading within an agricultural system," Agricultural Systems, Elsevier, vol. 123(C), pages 71-83.
    3. 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.
    4. S. Chadha & Veena Chadha, 2007. "Linear fractional programming and duality," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 15(2), pages 119-125, June.
    5. Abbas Amini Fasakhodi & Seyed Nouri & Manouchehr Amini, 2010. "Water Resources Sustainability and Optimal Cropping Pattern in Farming Systems; A Multi-Objective Fractional Goal Programming Approach," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(15), pages 4639-4657, December.
    6. Mohammad Nikoo & Reza Kerachian & Hamed Poorsepahy-Samian, 2012. "An Interval Parameter Model for Cooperative Inter-Basin Water Resources Allocation Considering the Water Quality Issues," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(11), pages 3329-3343, September.
    7. Salman, A. Z. & Al-Karablieh, E. K. & Fisher, F. M., 2001. "An inter-seasonal agricultural water allocation system (SAWAS)," Agricultural Systems, Elsevier, vol. 68(3), pages 233-252, June.
    8. Dai, Z.Y. & Li, Y.P., 2013. "A multistage irrigation water allocation model for agricultural land-use planning under uncertainty," Agricultural Water Management, Elsevier, vol. 129(C), pages 69-79.
    9. Kipkorir, E. C. & Raes, D. & Massawe, B., 2002. "Seasonal water production functions and yield response factors for maize and onion in Perkerra, Kenya," Agricultural Water Management, Elsevier, vol. 56(3), pages 229-240, August.
    10. M. Li & P. Guo & G. Yang & S. Fang, 2014. "IB-ICCMSP: An Integrated Irrigation Water Optimal Allocation and Planning Model Based on Inventory Theory under Uncertainty," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(1), pages 241-260, January.
    11. Sethi, Laxmi Narayan & Panda, Sudhindra N. & Nayak, Manoj K., 2006. "Optimal crop planning and water resources allocation in a coastal groundwater basin, Orissa, India," Agricultural Water Management, Elsevier, vol. 83(3), pages 209-220, June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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).
    2. Zhang, Chenglong & Engel, Bernard A. & Guo, Ping, 2018. "An Interval-based Fuzzy Chance-constrained Irrigation Water Allocation model with double-sided fuzziness," Agricultural Water Management, Elsevier, vol. 210(C), pages 22-31.
    3. Alexandra Tomaz & José Ferro Palma & Maria Isabel Patanita & José Penacho & José Dôres & Maria Natividade Costa & Elisabete Rosa & Alexandra Tomaz & Isabel Guerreiro & Manuel Patanita, 2017. "An Overview on the Use of Enhanced Efficiency Nitrogen Fertilizers in Irrigated Mediterranean Agriculture," Biomedical Journal of Scientific & Technical Research, Biomedical Research Network+, LLC, vol. 1(7), pages 1938-1940, December.
    4. Chen, Junxu & Zhang, Chenglong & Guo, Ping, 2022. "A credibility-based interval multi-objective crop area planning model for agricultural and ecological management," Agricultural Water Management, Elsevier, vol. 269(C).
    5. 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.
    6. 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.
    7. Zhang, Chenglong & Guo, Ping & Huo, Zailin, 2021. "Irrigation water resources management under uncertainty: An interval nonlinear double-sided fuzzy chance-constrained programming approach," Agricultural Water Management, Elsevier, vol. 245(C).
    8. 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.
    9. Tang, Yikuan & Zhang, Fan & Wang, Sufen & Zhang, Xiaodong & Guo, Shanshan & Guo, Ping, 2019. "A distributed interval nonlinear multiobjective programming approach for optimal irrigation water management in an arid area," Agricultural Water Management, Elsevier, vol. 220(C), pages 13-26.
    10. 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).
    11. 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).
    12. Zhang, Chenglong & Li, Xuemin & Guo, Ping & Huo, Zailin, 2021. "Balancing irrigation planning and risk preference for sustainable irrigated agriculture: A fuzzy credibility-based optimization model with the Hurwicz criterion under uncertainty," Agricultural Water Management, Elsevier, vol. 254(C).
    13. Liuyue He & Sufen Wang & Congcong Peng & Qian Tan, 2018. "Optimization of Water Consumption Distribution Based on Crop Suitability in the Middle Reaches of Heihe River," Sustainability, MDPI, vol. 10(7), pages 1-17, June.
    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).
    16. Zhang, Chenglong & Yang, Gaiqiang & Wang, Chaozi & Huo, Zailin, 2023. "Linking agricultural water-food-environment nexus with crop area planning: A fuzzy credibility-based multi-objective linear fractional programming approach," Agricultural Water Management, Elsevier, vol. 277(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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.
    3. Liuyue He & Sufen Wang & Congcong Peng & Qian Tan, 2018. "Optimization of Water Consumption Distribution Based on Crop Suitability in the Middle Reaches of Heihe River," Sustainability, MDPI, vol. 10(7), pages 1-17, June.
    4. R. Roozbahani & S. Schreider & B. Abbasi, 2013. "Economic Sharing of Basin Water Resources between Competing Stakeholders," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(8), pages 2965-2988, June.
    5. Liu, J. & Li, Y.P. & Huang, G.H. & Zeng, X.T., 2014. "A dual-interval fixed-mix stochastic programming method for water resources management under uncertainty," Resources, Conservation & Recycling, Elsevier, vol. 88(C), pages 50-66.
    6. Mehran Homayounfar & Sai Lai & Mehdi Zomorodian & Ali Sepaskhah & Arman Ganji, 2014. "Optimal Crop Water Allocation in Case of Drought Occurrence, Imposing Deficit Irrigation with Proportional Cutback Constraint," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(10), pages 3207-3225, August.
    7. 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.
    8. Heidari, Mohammad Davoud & Turner, Ian & Ardestani-Jaafari, Amir & Pelletier, Nathan, 2021. "Operations research for environmental assessment of crop-livestock production systems," Agricultural Systems, Elsevier, vol. 193(C).
    9. 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).
    10. S. Dutta & B.C. Sahoo & Rajashree Mishra & S. Acharya, 2016. "Fuzzy Stochastic Genetic Algorithm for Obtaining Optimum Crops Pattern and Water Balance in a Farm," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(12), pages 4097-4123, September.
    11. 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.
    12. Chongfeng Ren & Hongbo Zhang, 2019. "An Inexact Optimization Model for Crop Area Under Multiple Uncertainties," IJERPH, MDPI, vol. 16(14), pages 1-20, July.
    13. Yu, Yang & Yu, Ruide & Chen, Xi & Yu, Guoan & Gan, Miao & Disse, Markus, 2017. "Agricultural water allocation strategies along the oasis of Tarim River in Northwest China," Agricultural Water Management, Elsevier, vol. 187(C), pages 24-36.
    14. Chongfeng Ren & Ruihuan Li & Ping Guo, 2016. "Two-Stage DEA Analysis of Water Resource Use Efficiency," Sustainability, MDPI, vol. 9(1), pages 1-17, December.
    15. Mehri Raei & Javad Hossienzad & Mohammad Ali Ghorbani, 2023. "An Uncertainty-Based Random Boundary Interval Multi-Stage Stochastic Programming for Water Resources Planning," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 37(12), pages 4571-4587, September.
    16. Ajay Singh, 2016. "Optimal Allocation of Resources for Increasing Farm Revenue under Hydrological Uncertainty," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(7), pages 2569-2580, May.
    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. C. Ren & P. Guo & M. Li & J. Gu, 2013. "Optimization of Industrial Structure Considering the Uncertainty of Water Resources," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(11), pages 3885-3898, September.
    19. Liang Cui & Yongping Li & Guohe Huang, 2015. "Planning an Agricultural Water Resources Management System: A Two-Stage Stochastic Fractional Programming Model," Sustainability, MDPI, vol. 7(8), pages 1-18, July.
    20. Bingkui Qiu & Shasha Lu & Min Zhou & Lu Zhang & Yu Deng & Ci Song & Zuo Zhang, 2015. "A Hybrid Inexact Optimization Method for Land-Use Allocation in Association with Environmental/Ecological Requirements at a Watershed Level," Sustainability, MDPI, vol. 7(4), pages 1-25, April.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:agisys:v:144:y:2016:i:c:p:46-57. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/agsy .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.