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Optimizing Multiple-Pollutant Waste Load Allocation in Rivers: An Interval Parameter Game Theoretic Model

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  • Mohammad Reza Nikoo

    (Shiraz University)

  • Pouyan Hatami Bahman Beiglou

    (Michigan State University)

  • Najmeh Mahjouri

    (K. N. Toosi University of Technology)

Abstract

In this paper, a new methodology is developed for optimal multiple-pollutant waste load allocation (MPWLA) in rivers considering the main existing uncertainties. An interval optimization method is used to solve the MPWLA problem. Different possible scenarios for treatment of pollution loads are defined and corresponding treatment costs are taken into account in an interval parameter optimization model. A QUAL2Kw-based water quality simulation model is developed and calibrated to estimate the concentration of the water quality variables along the river. Two non-cooperative and cooperative multiple-pollutant scenario-based models are proposed for determining waste load allocation policies in rivers. Finally, a new fuzzy interval solution concept for cooperative games, namely, Fuzzy Boundary Interval Variable Least Core (FIVLC), is developed for reallocating the total fuzzy benefit obtained from discharge permit trading among waste load dischargers. The results of applying the proposed methodology to the Zarjub River in Iran illustrate its effectiveness and applicability in multiple-pollutant waste load allocation in rivers.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:waterr:v:30:y:2016:i:12:d:10.1007_s11269-016-1415-6
    DOI: 10.1007/s11269-016-1415-6
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    References listed on IDEAS

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    1. 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.
    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. Najmeh Mahjouri & Mohammad Bizhani-Manzar, 2013. "Waste Load Allocation in Rivers using Fallback Bargaining," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(7), pages 2125-2136, May.
    4. 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.
    5. Keighobad Jafarzadegan & Armaghan Abed-Elmdoust & Reza Kerachian, 2013. "A Fuzzy Variable Least Core Game for Inter-basin Water Resources Allocation Under Uncertainty," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(9), pages 3247-3260, July.
    6. Mojtaba Sadegh & Reza Kerachian, 2011. "Water Resources Allocation Using Solution Concepts of Fuzzy Cooperative Games: Fuzzy Least Core and Fuzzy Weak Least Core," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(10), pages 2543-2573, August.
    7. 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.
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    Cited by:

    1. Y. R. Fan & G. H. Huang & Y. P. Li & X. Q. Wang & Z. Li, 2016. "Probabilistic Prediction for Monthly Streamflow through Coupling Stepwise Cluster Analysis and Quantile Regression Methods," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(14), pages 5313-5331, November.
    2. 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.
    3. Sareh S. Naserizade & Mohammad Reza Nikoo & Hossein Montaseri & Mohammad Reza Alizadeh, 2021. "A Hybrid Fuzzy-Probabilistic Bargaining Approach for Multi-objective Optimization of Contamination Warning Sensors in Water Distribution Systems," Group Decision and Negotiation, Springer, vol. 30(3), pages 641-663, June.

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