Abstract
In this study, a new methodology is proposed to balance environmental and economic issues in water allocation under uncertainty. Two objective functions, including maximizing economic income (EI) and minimizing environmental pollution (EP), were considered as two groups of players to construct a deterministic multi-objective bargaining methodology (DMOBM). In the next step, it is enhanced to a robust multi-objective bargaining methodology (RMOBM), which is capable of incorporating the main uncertainties exist in the problem. A large-scale inter-basin water transfer case study was utilized to investigate the applicability of the developed model. The outputs of the models showed that Nash equilibrium provide a rather narrow range of solutions. According to the results, the required rounds to reach Nash equilibrium raised as the uncertainty level increased. In addition, higher levels of uncertainty lead to higher reduction in water allocating of receiving basin. Sensitivity analysis showed that economic income values are less sensitive to changes of uncertain parameters than the environmental objective function. The developed methodology could provide a framework to incorporate the behavior of different stakeholders. Furthermore, the proposed method can be reliable under the condition of facing water allocation uncertainties.
Similar content being viewed by others
References
Ben-Tal A, Nemirovski A (1999) Robust solutions of uncertain linear programs. Oper Res Lett 25:1–13
Bertsimas D, Sim M (2004) The price of robustness. Oper Res 52:35–53
Carraro C, Marchiori C, Sgobbi A (2007) Negotiating on water: insights from non-cooperative bargaining theory. Environ Dev Econ 12:329–349
Chen C, Huang G, Li Y, Zhou Y (2013) A robust risk analysis method for water resources allocation under uncertainty. Stoch Env Res Risk A 27:713–723
Chung G, Lansey K, Bayraksan G (2009) Reliable water supply system design under uncertainty. Environ Model Softw 24:449–462
Davila E, Chang N-B, Diwakaruni S (2005) Landfill space consumption dynamics in the Lower Rio Grande Valley by grey integer programming-based games. J Environ Manag 75:353–365
Draper AJ, Jenkins MW, Kirby KW, Lund JR, Howitt RE (2003) Economic-engineering optimization for California water management. J Water Resour Plan Manag 129:155–164
Ehrgott M, Gandibleux X (2002) Multiobjective combinatorial optimization—theory, methodology, and applications. In: Ehrgott M, Gandibleux X (eds) Multiple criteria optimization: state of the art annotated bibliographic surveys. Springer US, Boston, pp 369–444. https://doi.org/10.1007/0-306-48107-3_8
Escudero L (2000) WARSYP: a robust modeling approach for water resources system planning under uncertainty. Ann Oper Res 95:313–339
Gibbons R (1997) An introduction to applicable game theory. J Econ Perspect 11:127–149
Housh M, Ostfeld A, Shamir U (2011) Optimal multiyear management of a water supply system under uncertainty: robust counterpart approach. Water Resour Res 47. https://doi.org/10.1029/2011WR010596
Jafarzadegan K, Abed-Elmdoust A, Kerachian R (2014) A stochastic model for optimal operation of inter-basin water allocation systems: a case study. Stoch Env Res Risk A 28:1343–1358
Jia Y, Culver TB (2006) Robust optimization for total maximum daily load allocations. Water Resour Res 42. https://doi.org/10.1029/2005WR004079
Kang D, Lansey K (2012) Scenario-based robust optimization of regional water and wastewater infrastructure. J Water Resour Plan Manag 139:325–338
Karamouz M, Mojahedi SA, Ahmadi A (2009) Interbasin water transfer: economic water quality-based model. J Irrig Drain Eng 136:90–98
Lee C-S (2012) Multi-objective game-theory models for conflict analysis in reservoir watershed management. Chemosphere 87:608–613
Madani K (2010) Game theory and water resources. J Hydrol 381:225–238
Manshadi HD, Niksokhan MH, Ardestani M (2015) A quantity-quality model for inter-basin water transfer system using game theoretic and virtual water approaches. Water Resour Manag 29:4573–4588
Matete M, Hassan R (2005) An ecological economics framework for assessing environmental flows: the case of inter-basin water transfers in Lesotho. Glob Planet Chang 47:193–200. https://doi.org/10.1016/j.gloplacha.2004.10.012
Pallottino S, Sechi GM, Zuddas P (2005) A DSS for water resources management under uncertainty by scenario analysis. Environ Model Softw 20:1031–1042
Sabouni MS, Mardani M (2013) Application of robust optimization approach for agricultural water resource management under uncertainty. J Irrig Drain Eng 139:571–581
Sadegh M, Mahjouri N, Kerachian R (2010) Optimal inter-basin water allocation using crisp and fuzzy Shapley games. Water Resour Manag 24:2291–2310
Üçler N, Engin GO, Köçken H, Öncel M (2015) Game theory and fuzzy programming approaches for bi-objective optimization of reservoir watershed management: a case study in Namazgah reservoir. Environ Sci Pollut Res 22:6546–6558
US Water Resource Council (1973) Principles and standards for planning water and related land resources. In: Federal Register, vol 38. vol 174. USA, p 24778
Watkins DW, McKinney DC (1997) Finding robust solutions to water resources problems. J Water Resour Plan Manag 123:49–58. https://doi.org/10.1061/(ASCE)0733-9496(1997)123:1(49)
Wei S, Yang H, Abbaspour K, Mousavi J, Gnauck A (2010) Game theory based models to analyze water conflicts in the Middle Route of the South-to-North Water Transfer Project in China. Water Res 44:2499–2516. https://doi.org/10.1016/j.watres.2010.01.021
Author information
Authors and Affiliations
Corresponding author
Additional information
Responsible editor: Philippe Garrigues
Rights and permissions
About this article
Cite this article
Nasiri-Gheidari, O., Marofi, S. & Adabi, F. A robust multi-objective bargaining methodology for inter-basin water resource allocation: a case study. Environ Sci Pollut Res 25, 2726–2737 (2018). https://doi.org/10.1007/s11356-017-0527-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11356-017-0527-8