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A Conditional Value at Risk-Based Model for Planning Agricultural Water and Return Flow Allocation in River Systems

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  • Maryam Soltani
  • Reza Kerachian
  • Mohammad Nikoo
  • Hamideh Noory

Abstract

In this study, a new methodology is presented for simultaneous agricultural water and return flow (waste load) allocation in rivers. In this methodology, an objective function based on Conditional Value at Risk (CVaR) and a Nonlinear Interval Number Programming (NINP) technique are utilized. The CVaR can handle uncertainties in the form of probability distributions, while NINP incorporates uncertain inputs which are only available as intervals. This CVaR-NINP framework is used for agricultural water and return flow allocation planning under uncertainty. In this paper, to reduce the amount of saline return flow discharged into the river, a part of return flow of each agricultural network is diverted to an evaporation pond. Some meta-models based on Artificial Neural Network (ANN) are trained and validated using the results of Soil, Water, Atmosphere and Plant (SWAP) simulation model to reliably approximate the quantity and Total Dissolved Solids (TDS) load of agricultural return flows in a critical 7-day period. The effectiveness of the proposed methodology is examined through applying it to a part of Karkheh River catchment in the southwestern part of Iran. The results confirm the applicability of the model in incorporating the main uncertainties and generating water and waste load allocation policies in the form of interval numbers. Copyright Springer Science+Business Media Dordrecht 2016

Suggested Citation

  • Maryam Soltani & Reza Kerachian & Mohammad Nikoo & Hamideh Noory, 2016. "A Conditional Value at Risk-Based Model for Planning Agricultural Water and Return Flow Allocation in River Systems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(1), pages 427-443, January.
    • Handle: RePEc:spr:waterr:v:30:y:2016:i:1:p:427-443
    DOI: 10.1007/s11269-015-1170-0
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    References listed on IDEAS

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    1. Mohammad Nikoo & Reza Kerachian & Akbar Karimi, 2012. "A Nonlinear Interval Model for Water and Waste Load Allocation in River Basins," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(10), pages 2911-2926, August.
    2. L. Shao & X. Qin & Y. Xu, 2011. "A Conditional Value-at-Risk Based Inexact Water Allocation Model," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(9), pages 2125-2145, July.
    3. Singh, Rajinder, 2004. "Simulations on direct and cyclic use of saline waters for sustaining cotton-wheat in a semi-arid area of north-west India," Agricultural Water Management, Elsevier, vol. 66(2), pages 153-162, April.
    4. Hamed Poorsepahy-Samian & Reza Kerachian & Mohammad Nikoo, 2012. "Water and Pollution Discharge Permit Allocation to Agricultural Zones: Application of Game Theory and Min-Max Regret Analysis," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(14), pages 4241-4257, November.
    5. Noory, H. & van der Zee, S.E.A.T.M. & Liaghat, A.-M. & Parsinejad, M. & van Dam, J.C., 2011. "Distributed agro-hydrological modeling with SWAP to improve water and salt management of the Voshmgir Irrigation and Drainage Network in Northern Iran," Agricultural Water Management, Elsevier, vol. 98(6), pages 1062-1070, April.
    6. Jiang, C. & Han, X. & Liu, G.R. & Liu, G.P., 2008. "A nonlinear interval number programming method for uncertain optimization problems," European Journal of Operational Research, Elsevier, vol. 188(1), pages 1-13, July.
    7. Mandare, A.B. & Ambast, S.K. & Tyagi, N.K. & Singh, J., 2008. "On-farm water management in saline groundwater area under scarce canal water supply condition in the Northwest India," Agricultural Water Management, Elsevier, vol. 95(5), pages 516-526, May.
    8. Philippe Artzner & Freddy Delbaen & Jean‐Marc Eber & David Heath, 1999. "Coherent Measures of Risk," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 203-228, July.
    9. Wanshun Zhang & Yan Wang & Hong Peng & Yiting Li & Jushan Tang & K. Wu, 2010. "A Coupled Water Quantity–Quality Model for Water Allocation Analysis," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(3), pages 485-511, February.
    10. Rockafellar, R. Tyrrell & Uryasev, Stanislav, 2002. "Conditional value-at-risk for general loss distributions," Journal of Banking & Finance, Elsevier, vol. 26(7), pages 1443-1471, July.
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    Cited by:

    1. Nafiseh Bahrami & Mohammad Reza Nikoo & Ghazi Al-Rawas & Khalifa Al-Jabri & Amir H. Gandomi, 2023. "Optimal Treated Wastewater Allocation Among Stakeholders Based on an Agent-based Approach," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 37(1), pages 135-156, January.
    2. Mohammad Reza Nikoo & Pouyan Hatami Bahman Beiglou & Najmeh Mahjouri, 2016. "Optimizing Multiple-Pollutant Waste Load Allocation in Rivers: An Interval Parameter Game Theoretic Model," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(12), pages 4201-4220, September.
    3. 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).

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