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Optimal Crop Water Allocation in Case of Drought Occurrence, Imposing Deficit Irrigation with Proportional Cutback Constraint

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  • Mehran Homayounfar
  • Sai Lai
  • Mehdi Zomorodian
  • Ali Sepaskhah
  • Arman Ganji

Abstract

Optimal crop water allocation has become more challenging in drier areas of the world (short of rainfall) due to increased water scarcity and more frequent droughts. alternative cropping patterns, reallocation of water resources and modification of irrigation are some of the strategies used to address droughts . A new optimization model is used in this study to find the optimal cropping patterns during droughts, while benefiting from deficit irrigation to decrease the total allocated water. Moreover, the proposed model is subjected to a proportional cutback constraint to meet optimized proportional water allocation under limited water condition. As a real case study, two related districts, namely Neku-abad and Abshar located in Zayandeh-rud River basin are considered. Zayandeh-rud river basin is located in the central part of Iran. For better illustration of model outputs, the proposed model was checked using various irrigation efficiency values (60–100 % in 10 % interval), water reduction ratios (0.0–0.4) and cutback parameters (λ a = 0.3, λ n = 0.7, λ a = 0.51, λ n = 0.49 and λ a = λ n = 0.5). The results showed that the values of λ a = 0.51, λ n = 0.49 presents the maximum proportionality in terms of water reduction among all the allocation units or users. Although different values of cutback parameters (e.g.: λ a = 0.3, λ n = 0.7) maximize net benefits, they are not considered as proportionate decisions in the considered study area. Copyright Springer Science+Business Media Dordrecht 2014

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  • 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.
  • Handle: RePEc:spr:waterr:v:28:y:2014:i:10:p:3207-3225
    DOI: 10.1007/s11269-014-0669-0
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    1. Qian Li & Yan Chen & Shikun Sun & Muyuan Zhu & Jing Xue & Zihan Gao & Jinfeng Zhao & Yihe Tang, 2022. "Research on Crop Irrigation Schedules Under Deficit Irrigation—A Meta-analysis," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 36(12), pages 4799-4817, September.
    2. Mehran Homayounfar & Mehdi Zomorodian & Christopher J Martinez & Sai Hin Lai, 2015. "Two Monthly Continuous Dynamic Model Based on Nash Bargaining Theory for Conflict Resolution in Reservoir System," PLOS ONE, Public Library of Science, vol. 10(12), pages 1-20, December.
    3. Mehdi Zomorodian & Sai Hin Lai & Mehran Homayounfar & Shaliza Ibrahim & Gareth Pender, 2017. "Development and application of coupled system dynamics and game theory: A dynamic water conflict resolution method," PLOS ONE, Public Library of Science, vol. 12(12), pages 1-24, December.
    4. 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.
    5. Nouri, Milad & Homaee, Mehdi & Pereira, Luis S. & Bybordi, Mohammad, 2023. "Water management dilemma in the agricultural sector of Iran: A review focusing on water governance," Agricultural Water Management, Elsevier, vol. 288(C).

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