IDEAS home Printed from https://ideas.repec.org/a/plo/pone00/0217783.html
   My bibliography  Save this article

An inexact fractional programming model for irrigation water resources optimal allocation under multiple uncertainties

Author

Listed:
  • Chongfeng Ren
  • Jiantao Yang
  • Hongbo Zhang

Abstract

In reality, severe water shortage crisis has made bad impact on the sustainable development of a region. In addition, uncertainties are inevitable in the irrigation system. Therefore, a fully fuzzy fractional programming model for optimization allocation of irrigation water resources, which aimed at not only irrigation water optimization but also improving water use efficiency. And then the developed model applied to a case study in Minqin County, Gansu Province, China, which selected maximum economic benefit of per unit water resources as planning objective. Moreover, surface and underground water are main water sources for irrigation. Thus, conjunctive use of surface and underground water was taken under consideration in this study. By solving the developed model, a series of optimal crop area and planting schemes, which were under different α-cut levels, were offered to the decision makers. The obtained results could be helpful for decision makers to make decision on the optimal use of irrigation water resources under multiple uncertainties.

Suggested Citation

  • 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.
    • Handle: RePEc:plo:pone00:0217783
    DOI: 10.1371/journal.pone.0217783
    as

    Download full text from publisher

    File URL: https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0217783
    Download Restriction: no
    File URL: https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0217783&type=printable
    Download Restriction: no
    File URL: https://libkey.io/10.1371/journal.pone.0217783?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
    ---><---

    References listed on IDEAS

    as
    1. N. LeRoy Poff & Casey M. Brown & Theodore E. Grantham & John H. Matthews & Margaret A. Palmer & Caitlin M. Spence & Robert L. Wilby & Marjolijn Haasnoot & Guillermo F. Mendoza & Kathleen C. Dominique , 2016. "Sustainable water management under future uncertainty with eco-engineering decision scaling," Nature Climate Change, Nature, vol. 6(1), pages 25-34, January.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. A. Charnes & W. W. Cooper, 1962. "Programming with linear fractional functionals," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 9(3‐4), pages 181-186, September.
    7. 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.
    8. Xifeng WANG, 2018. "Study on Water Resources Efficiency with the Regional Water Resources Carrying Capacity into Consideration," Chinese Journal of Urban and Environmental Studies (CJUES), World Scientific Publishing Co. Pte. Ltd., vol. 6(04), pages 1-16, December.
    9. 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.
    10. Jiang, Yao & Xu, Xu & Huang, Quanzhong & Huo, Zailin & Huang, Guanhua, 2016. "Optimizing regional irrigation water use by integrating a two-level optimization model and an agro-hydrological model," Agricultural Water Management, Elsevier, vol. 178(C), pages 76-88.
    11. Chang, Jianxia & Wang, Xiaoyu & Li, Yunyun & Wang, Yimin & Zhang, Hongxue, 2018. "Hydropower plant operation rules optimization response to climate change," Energy, Elsevier, vol. 160(C), pages 886-897.
    12. Sun, Qinping & Kröbel, Roland & Müller, Torsten & Römheld, Volker & Cui, Zhenling & Zhang, Fusuo & Chen, Xinping, 2011. "Optimization of yield and water-use of different cropping systems for sustainable groundwater use in North China Plain," Agricultural Water Management, Elsevier, vol. 98(5), pages 808-814, March.
    13. 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.
    14. Pereira, Luis Santos & Oweis, Theib & Zairi, Abdelaziz, 2002. "Irrigation management under water scarcity," Agricultural Water Management, Elsevier, vol. 57(3), pages 175-206, December.
    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. 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.
    2. Zhang, Yu & Ren, Chongfeng & Zhang, Hongbo & Xie, Zhishuai & Wang, Yashi, 2022. "Managing irrigation water resources with economic benefit and energy consumption: an interval linear multi-objective fractional optimization model under multiple uncertainties," Agricultural Water Management, Elsevier, vol. 272(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).

    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. 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).
    2. 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.
    3. 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.
    4. 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).
    5. Chongfeng Ren & Hongbo Zhang, 2019. "An Inexact Optimization Model for Crop Area Under Multiple Uncertainties," IJERPH, MDPI, vol. 16(14), pages 1-20, July.
    6. 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.
    7. 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).
    8. 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).
    9. 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).
    10. Cao, Zhaodan & Zhu, Tingju & Cai, Ximing, 2023. "Hydro-agro-economic optimization for irrigated farming in an arid region: The Hetao Irrigation District, Inner Mongolia," Agricultural Water Management, Elsevier, vol. 277(C).
    11. 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.
    12. 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).
    13. Mehdi Toloo, 2021. "An Equivalent Linear Programming Form of General Linear Fractional Programming: A Duality Approach," Mathematics, MDPI, vol. 9(14), pages 1-9, July.
    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. Wang, Youzhi & Guo, Xinwei & Zhang, Fan & Yin, Huijuan & Guo, Ping & Zhang, Wenge & Li, Qiangkun, 2022. "The spatially-distributed ANN-optimization approach for water-agriculture-ecology nexus management under uncertainties and risks," Agricultural Water Management, Elsevier, vol. 271(C).
    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. 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.
    18. 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.
    19. 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).
    20. Ajay Singh, 2014. "Irrigation Planning and Management Through Optimization Modelling," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(1), pages 1-14, January.

    More about this item

    Statistics

    Access and download statistics

    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:plo:pone00:0217783. 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: plosone (email available below). General contact details of provider: https://journals.plos.org/plosone/ .

    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.