IDEAS home Printed from https://ideas.repec.org/a/spr/waterr/v27y2013i11p3865-3883.html
   My bibliography  Save this article

Optimal Long-term Operation of Reservoir-river Systems under Hydrologic Uncertainties: Application of Interval Programming

Author

Listed:
  • Mohammad Nikoo
  • Akbar Karimi
  • Reza Kerachian

Abstract

Long-term basin-wide reservoir-river operation optimization problems are usually complex and nonlinear especially when the water quality issues and hydrologic uncertainties are incorporated. It is due to non-convex functions in water quality modeling and a large number of computational iterations required by most of stochastic programming methods. The computational burden of uncertainty modeling can be reduced by a special combination of uncertainty modeling and interval programming, though the problem solution is still a challenge due to model nonlinearity. In this paper, an integrated water quantity-quality model is developed for optimal water allocation at river-basin scale. It considers water supply and quality targets as well as hydrologic, water quality and water demand uncertainties within the nonlinear interval programming (NIP) framework to minimize the slacks in water supply and quality targets during a long-term planning horizon. A fast iterative linear programming (ILP) method is developed to convert the NIP into a linear interval programming (LIP). The ILP resolves two challenges in NIP, first converting the large non-linear programming (NLP) into a linear programming (LP) with minimum approximation and second reducing the iterations needed in interval programming for NLP into just two iterations for the upper and lower limits of decision variables. This modeling approach is applied to the Zayandehrood river basin in Iran that has serious water supply and pollution problems. The results show that in this river basin at dry conditions when available surface water resources are below 85 % of normal hydrologic state and water demands are 115 % of current water demands, the total dissolved solids (TDS) concentration can be reduced by 50 % at the inlet of the Gavkhuni wetland located downstream of the river basin. Copyright Springer Science+Business Media Dordrecht 2013

Suggested Citation

  • Mohammad Nikoo & Akbar Karimi & Reza Kerachian, 2013. "Optimal Long-term Operation of Reservoir-river Systems under Hydrologic Uncertainties: Application of Interval Programming," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(11), pages 3865-3883, September.
    • Handle: RePEc:spr:waterr:v:27:y:2013:i:11:p:3865-3883
    DOI: 10.1007/s11269-013-0384-2
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s11269-013-0384-2
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s11269-013-0384-2?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. Rosegrant, M. W. & Ringler, C. & McKinney, D. C. & Cai, X. & Keller, A. & Donoso, G., 2000. "Integrated economic-hydrologic water modeling at the basin scale: the Maipo river basin," Agricultural Economics, Blackwell, vol. 24(1), pages 33-46, December.
    2. 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.
    3. 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.
    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. R. Roozbahani & B. Abbasi & S. Schreider & J. Iversen, 2021. "Dam Location-Allocation under Multiple Hydrological Scenarios," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 35(3), pages 993-1009, February.
    2. S. Rehana & P. Mujumdar, 2014. "Basin Scale Water Resources Systems Modeling Under Cascading Uncertainties," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(10), pages 3127-3142, August.
    3. Maryam Ghashghaie & Safar Marofi & Hossein Marofi, 2014. "Using System Dynamics Method to Determine the Effect of Water Demand Priorities on Downstream Flow," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(14), pages 5055-5072, November.

    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. Mohammad Nikoo & Akbar Karimi & Reza Kerachian & Hamed Poorsepahy-Samian & Farhang Daneshmand, 2013. "Rules for Optimal Operation of Reservoir-River-Groundwater Systems Considering Water Quality Targets: Application of M5P Model," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(8), pages 2771-2784, June.
    2. Maryam Soltani & Reza Kerachian & Mohammad Reza 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.
    3. Farhang Daneshmand & Akbar Karimi & Mohammad Nikoo & Mohammad Bazargan-Lari & Jan Adamowski, 2014. "Mitigating Socio-Economic-Environmental Impacts During Drought Periods by Optimizing the Conjunctive Management of Water Resources," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(6), pages 1517-1529, April.
    4. Zhanqi Wang & Jun Yang & Xiangzheng Deng & Xi Lan, 2015. "Optimal Water Resources Allocation under the Constraint of Land Use in the Heihe River Basin of China," Sustainability, MDPI, vol. 7(2), pages 1-18, February.
    5. 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.
    6. Britz, Wolfgang & Kuhn, Arnim, 2011. "Can Hydro-economic River Basis Models Simulate Water Shadow Prices Under Asymmetric Access?," 2011 International Congress, August 30-September 2, 2011, Zurich, Switzerland 114272, European Association of Agricultural Economists.
    7. Jungho Park & Hadi El-Amine & Nevin Mutlu, 2021. "An Exact Algorithm for Large-Scale Continuous Nonlinear Resource Allocation Problems with Minimax Regret Objectives," INFORMS Journal on Computing, INFORMS, vol. 33(3), pages 1213-1228, July.
    8. de Fraiture, Charlotte & Perry, C. J., 2007. "Why is agricultural water demand unresponsive at low price ranges?," IWMI Books, Reports H040602, International Water Management Institute.
    9. Xu, Yanhong & Peng, Hong & Yang, Yinqun & Zhang, Wanshun & Wang, Shuangling, 2014. "A cumulative eutrophication risk evaluation method based on a bioaccumulation model," Ecological Modelling, Elsevier, vol. 289(C), pages 77-85.
    10. M. Ejaz Qureshi & Jeff Connor & Mac Kirby & Mohammed Mainuddin, 2007. "Economic assessment of acquiring water for environmental flows in the Murray Basin ," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 51(3), pages 283-303, September.
    11. Hamid Kardan Moghaddam & Saman Javadi & Timothy O. Randhir & Neda Kavehkar, 2022. "A Multi-Indicator, Non-Cooperative Game Model to Resolve Conflicts for Aquifer Restoration," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 36(14), pages 5521-5543, November.
    12. Qianwen Yu & Zehao Sun & Junyuan Shen & Xia Xu & Xiangnan Chen, 2023. "Interactive Allocation of Water Pollutant Initial Emission Rights in a Basin under Total Amount Control: A Leader-Follower Hierarchical Decision Model," IJERPH, MDPI, vol. 20(2), pages 1-25, January.
    13. de Fraiture, Charlotte & Perry, C. J., 2007. "Why is agricultural water demand unresponsive at low price ranges?," Book Chapters,, International Water Management Institute.
    14. Pengfei Lin & Jinjun You & Hong Gan & Ling Jia, 2020. "Rule-Based Object-Oriented Water Resource System Simulation Model for Water Allocation," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 34(10), pages 3183-3197, August.
    15. Gohar, Abdelaziz A. & Ward, Frank A., 2010. "Gains from expanded irrigation water trading in Egypt: An integrated basin approach," Ecological Economics, Elsevier, vol. 69(12), pages 2535-2548, October.
    16. Ringler, Claudia & Rosegrant, Mark W., 1999. "Impact on food security and rural development of reallocating water from agriculture:," EPTD discussion papers 47, International Food Policy Research Institute (IFPRI).
    17. Gohar, Abdelaziz A. & Cashman, Adrian, 2016. "A methodology to assess the impact of climate variability and change on water resources, food security and economic welfare," Agricultural Systems, Elsevier, vol. 147(C), pages 51-64.
    18. Chavas, Jean-Paul & Di Falco, Salvatore & Smale, Melinda, 2006. "Farmer management of production risk on degraded lands: the role of wheat genetic diversity in Tigray Region, Ethiopia," EPTD discussion papers 153, International Food Policy Research Institute (IFPRI).
    19. Calatrava-Leyva, Javier & Colmenero, Alberto Garrido, 2001. "Analisis del efecto de los mercados de agua sobre el beneficio de las explotaciones, la contaminacion por nitratos y el empleo eventual agrario," Economia Agraria y Recursos Naturales, Spanish Association of Agricultural Economists, vol. 1(02), pages 1-21, December.
    20. Jun Zhao & Guohua Fang & Xue Wang & Huayu Zhong, 2024. "Joint Optimization of Urban Water Quantity and Quality Allocation in the Plain River Network Area," Sustainability, MDPI, vol. 16(4), pages 1-17, February.

    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:spr:waterr:v:27:y:2013:i:11:p:3865-3883. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.