IDEAS home Printed from https://ideas.repec.org/a/spr/waterr/v26y2012i15p4539-4552.html
   My bibliography  Save this article

Equitable Waste Load Allocation in Rivers Using Fuzzy Bi-matrix Games

Author

Listed:
  • Mohammad Nikoo
  • Reza Kerachian
  • Mohammad Niksokhan

Abstract

This paper presents a new game theoretic methodology for equitable waste load allocation in rivers utilizing fuzzy bi-matrix games, Non-dominated Sorting Genetic Algorithms II (NSGA-II), cooperative game theory, Bayesian Networks (BNs) and Probabilistic Support Vector Machines (PSVMs). In this methodology, at first, a trade-off curve between objectives, which are average treatment level of dischargers and fuzzy risk of low water quality, is obtained using NSGA-II. Then, the best non-dominated solution is selected using a non-zero-sum bi-matrix game with fuzzy goals. In the next step, to have an equitable waste load allocation, some possible coalitions among dischargers are formed and treatment costs are reallocated to discharges and side payments are calculated. To develop probabilistic rules for real-time waste load allocation, the proposed model is applied considering several scenarios of pollution loads and the results are used for training and testing BNs and PSVMs. The applicability and efficiency of the methodology are examined in a real-world case study of the Zarjub River in the northern part of Iran. The results show that the average relative errors of the proposed rules in estimating the treatment levels of dischargers are less than 5 %. Copyright Springer Science+Business Media Dordrecht 2012

Suggested Citation

  • Mohammad Nikoo & Reza Kerachian & Mohammad Niksokhan, 2012. "Equitable Waste Load Allocation in Rivers Using Fuzzy Bi-matrix Games," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(15), pages 4539-4552, December.
    • Handle: RePEc:spr:waterr:v:26:y:2012:i:15:p:4539-4552
    DOI: 10.1007/s11269-012-0165-3
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s11269-012-0165-3
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s11269-012-0165-3?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. Armaghan Abed-Elmdoust & Reza Kerachian, 2012. "Water Resources Allocation Using a Cooperative Game with Fuzzy Payoffs and Fuzzy Coalitions," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(13), pages 3961-3976, October.
    2. Hung, Ming-Feng & Shaw, Daigee, 2005. "A trading-ratio system for trading water pollution discharge permits," Journal of Environmental Economics and Management, Elsevier, vol. 49(1), pages 83-102, January.
    3. 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.
    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. Acosta-Vega, Rick K. & Algaba, Encarnación & Sánchez-Soriano, Joaquín, 2023. "Design of water quality policies based on proportionality in multi-issue problems with crossed claims," European Journal of Operational Research, Elsevier, vol. 311(2), pages 777-788.
    2. Azadeh Ahmadi & Mohammad Amin Zolfagharipoor & Ali Akbar Afzali, 2019. "Stability Analysis of Stakeholders’ Cooperation in Inter-Basin Water Transfer Projects: a Case Study," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(1), pages 1-18, January.
    3. Nadine Wittmann, 2014. "A Microeconomic Perspective on Water Resources Management: Analyzing the Effects on Optimal Land Rents Along a River Basin," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(5), pages 1309-1325, March.
    4. Zhang, J.L. & Li, Y.P. & Wang, C.X. & Huang, G.H., 2015. "An inexact simulation-based stochastic optimization method for identifying effluent trading strategies of agricultural nonpoint sources," Agricultural Water Management, Elsevier, vol. 152(C), pages 72-90.

    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. Parna Parsapour-Moghaddam & Armaghan Abed-Elmdoust & Reza Kerachian, 2015. "A Heuristic Evolutionary Game Theoretic Methodology for Conjunctive Use of Surface and Groundwater Resources," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(11), pages 3905-3918, September.
    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. Zhang, Hui & Cao, Libin & Zhang, Bing, 2017. "Emissions trading and technology adoption: An adaptive agent-based analysis of thermal power plants in China," Resources, Conservation & Recycling, Elsevier, vol. 121(C), pages 23-32.
    4. Roy, René & Baker, Laurie & Thomassin, Paul J., 2013. "Estimating the Cost of Agricultural Pollution Abatement: Establishing Beneficial Management Practices in the Bras d’Henri Watershed," 2013 Annual Meeting, August 4-6, 2013, Washington, D.C. 150956, Agricultural and Applied Economics Association.
    5. 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.
    6. Yates, Andrew J. & Doyle, Martin W. & Rigby, J.R. & Schnier, Kurt E., 2013. "Market power, private information, and the optimal scale of pollution permit markets with application to North Carolina's Neuse River," Resource and Energy Economics, Elsevier, vol. 35(3), pages 256-276.
    7. Chunlong Li & Jianzhong Zhou & Shuo Ouyang & Chao Wang & Yi Liu, 2015. "Water Resources Optimal Allocation Based on Large-scale Reservoirs in the Upper Reaches of Yangtze River," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(7), pages 2171-2187, May.
    8. Sergey S. Rabotyagov & Adriana M. Valcu & Catherine L. Kling, 2014. "Reversing Property Rights: Practice-Based Approaches for Controlling Agricultural Nonpoint-source Water Pollution When Emissions Aggregate Nonlinearly," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 96(2), pages 397-419.
    9. Simon Anastasiadis & Marie-Laure Nauleau & Suzi Kerr & Tim Cox & Kit Rutherford, 2011. "Does Complex Hydrology Require Complex Water Quality Policy? NManager Simulations for Lake Rotorua," Working Papers 11_14, Motu Economic and Public Policy Research.
    10. Mahdi Zarghami & Nasim Safari & Ferenc Szidarovszky & Shafiqul Islam, 2015. "Nonlinear Interval Parameter Programming Combined with Cooperative Games: a Tool for Addressing Uncertainty in Water Allocation Using Water Diplomacy Framework," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(12), pages 4285-4303, September.
    11. Kai Zhang & Haishu Lu & Bin Wang, 2024. "Benefit Distribution Mechanism of a Cooperative Alliance for Basin Water Resources from the Perspective of Cooperative Game Theory," Sustainability, MDPI, vol. 16(16), pages 1-33, August.
    12. 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.
    13. Yiyu Feng & Ming Chang & Erga Luo & Jing Liu, 2023. "Has Property Rights Reform of China’s Farmland Water Facilities Improved Farmers’ Irrigation Efficiency?—Evidence from a Typical Reform Pilot in China’s Yunnan Province," Agriculture, MDPI, vol. 13(2), pages 1-27, January.
    14. 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.
    15. Estay, Manuel & Stranlund, John K., 2022. "Entry, location, and optimal environmental policies," Resource and Energy Economics, Elsevier, vol. 70(C).
    16. Hadi El-Amine & Ebru K. Bish & Douglas R. Bish, 2018. "Robust Postdonation Blood Screening Under Prevalence Rate Uncertainty," Operations Research, INFORMS, vol. 66(1), pages 1-17, 1-2.
    17. Shawei He & Keith Hipel & D. Kilgour, 2014. "Water Diversion Conflicts in China: A Hierarchical Perspective," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(7), pages 1823-1837, May.
    18. Catherine L. Kling, 2011. "Economic Incentives to Improve Water Quality in Agricultural Landscapes: Some New Variations on Old Ideas," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 93(2), pages 297-309.
    19. Feng, Hongli & Jha, Manoj K. & Gassman, Philip W., 2006. "Allocating Nutrient Load Reduction across a Watershed: Implications of Different Principles," 2006 Annual meeting, July 23-26, Long Beach, CA 21131, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    20. Hongli Feng & Manoj Jha & Phil Gassman, 2009. "The Allocation of Nutrient Load Reduction across a Watershed: Assessing Delivery Coefficients as an Implementation Tool," Review of Agricultural Economics, Agricultural and Applied Economics Association, vol. 31(1), pages 183-204.

    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:26:y:2012:i:15:p:4539-4552. 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.