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Waste Load Allocation in Rivers using Fallback Bargaining

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  • Najmeh Mahjouri
  • Mohammad Bizhani-Manzar

Abstract

In this paper, bargaining process between different stakeholders involved in a waste load allocation problem is simulated using the Fallback Bargaining (FB) concept. The paper considers two main parties in a waste load allocation problem. On the one hand, there are wastewater dischargers intending to minimize their treatment costs and on the other hand, there is an environmental protection agency which monitors the river water quality at a checkpoint downstream of the location of dischargers. In this paper, different alternatives which are combinations of dischargers’ treatment scenarios are defined. A water quality simulation model is utilized to estimate the concentration of the water quality indicator along the river based on a selected alternative. If the concentration of water quality indicator in the selected checkpoint violates the water quality standards, a penalty function is used to calculate the amount of penalty assigned to dischargers. The allocated cost to each discharger is computed considering his treatment scenario as well as the penalty allocated to him. Two kinds of Fallback bargaining procedure termed as Unanimity Fallback Bargaining (UFB) and Fallback bargaining with Impasse (FBI), which both aim at minimizing the maximum dissatisfaction of bargainers in a negotiation problem, are utilized for finding a Compromise Set (CS) of alternatives. In this paper, the best alternative (alternatives) among CS members is (are) selected using a social choice theory namely Condorcet winner. The results of these two approaches are compared and the final alternative is selected which shows the initial Tradable Discharge Permits (TDPs) allocated to dischargers. Finally, in order to decrease the total allocated cost to dischargers, initial allocated TDPs are exchanged between them using the Extended Trading Ratio System (ETRS) developed by Mesbah et al. (Environ Model Software 24:238–246, 2009 ). The applicability and efficiency of the proposed methodology is investigated by applying it to a case study of the Zarjub River in the northern part of Iran. Copyright Springer Science+Business Media Dordrecht 2013

Suggested Citation

  • 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.
    • Handle: RePEc:spr:waterr:v:27:y:2013:i:7:p:2125-2136
    DOI: 10.1007/s11269-013-0279-2
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    References listed on IDEAS

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    1. Chi Zhang & Guoli Wang & Yong Peng & Guolei Tang & Guohua Liang, 2012. "A Negotiation-Based Multi-Objective, Multi-Party Decision-Making Model for Inter-Basin Water Transfer Scheme Optimization," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(14), pages 4029-4038, November.
    2. 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.
    3. Majid Sheikhmohammady & D. Marc Kilgour & Keith W. Hipel, 2010. "Modeling the Caspian Sea Negotiations," Group Decision and Negotiation, Springer, vol. 19(2), pages 149-168, March.
    4. 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.
    5. 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.
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    Cited by:

    1. 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.
    2. Sarita Gajbhiye Meshram & Maryam Adhami & Ozgur Kisi & Chandrashekhar Meshram & Pham Anh Duc & Khaled Mohamed Khedher, 2021. "Identification of Critical Watershed for Soil Conservation Using Game Theory-Based Approaches," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 35(10), pages 3105-3120, August.
    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.
    4. 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.
    5. Mohammad Reza Alizadeh & Mohammad Reza Nikoo & Gholam Reza Rakhshandehroo, 2017. "Developing a Multi-Objective Conflict-Resolution Model for Optimal Groundwater Management Based on Fallback Bargaining Models and Social Choice Rules: a Case Study," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(5), pages 1457-1472, March.

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