Abstract
Serious conflicts over water resources and the determination of new dams locations often happen in undeveloped transboundary basins. The resolution of these conflicts through equitable allocation depends on the uncertain distribution of the surface water. This study is an extension of the multi-objective model presented Roozbahani et al. Ann Oper Res 287: 323–349, (2020), adding a stochastic modeling approach to settle the water conflicts. We consider the uncertainty of the available streamflow through fitting a multivariate distribution on the historical runoff data in the each node of a basin network. Then, several streamflow scenarios are generated according to the fitted distributions, utilizing the NORmal-To-Anything (NORTA) algorithm. The water shares of the stakeholders, besides the location and capacity of required dams, are obtained using a three-step algorithm for each generated runoff scenario. The water allocation policy is to maximize the minimum ratio of a realized profit over the highest possible profit of the stakeholders from the water utilization, while satisfying the environmental water requirements in the entire basins. The results are analyzed using the frequency approach to determine the optimal location and capacity of new dams. Furthermore, the proposed approach is illustrated through a case study of water allocation modeling in the Sefidrud Basin, Iran. The outputs of the approach implementation show that a dam construction in a node (Node 10) has a substantial role in the sustainable water development of the basin as it is proposed by 52 runoff scenario, in which the 35% of them propose 1230 MCM capacity for the dam.
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References
Ali MK, Klein KK (2014) Implications of current and alternative water allocation policies in the Bow River Sub Basin of southern Alberta. Agric Water Manag 133(0):1–11. https://doi.org/10.1016/j.agwat.2013.10.013
Banihabib ME, Tabari MMR, Tabari MMR (2019) Development of a fuzzy multi-objective heuristic model for optimum water allocation. Water Resour Manag 33(11):3673–3689
Cai X, McKinney DC, Lasdon LS (2002) A framework for sustainability analysis in water resources management and application to the Syr Darya Basin. Water Resour Res 38(6):211–2114
Cai X, McKinney D, Lasdon L (2003) Integrated hydrologic-agronomic-economic model for River Basin management. J Water Resour Plan Manag 129(1):4–17. https://doi.org/10.1061/(ASCE)0733-9496(2003)129:1(4)
Cario MC, Nelson BL (1997) Modeling and generating random vectors with arbitrary marginal distributions and correlation matrix (Tech. Rep.). Department of Industrial Engineering and Management Science, Northwestern University, Evanston, IL.,
Cohon JL, Marks DH (1975) A review and evaluation of multiobjective programing techniques. Water Resour Res 11(2):208–220. https://doi.org/10.1029/WR011i002p00208
Davijani MH, Banihabib ME, Anvar AN, Hashemi SR (2016) Multi-objective optimization model for the allocation of water resources in arid regions based on the maximization of socioeconomic efficiency. Water Resour Manag 30(3):927–946
Fan YR, Huang GH, Guo P, Yang AL (2012) Inexact two-stage stochastic partial programming: application to water resources management under uncertainty. Stoch Environ Res Risk Assess 26(2):281–293. https://doi.org/10.1007/s00477-011-0504-6
Fu Q, Li T, Cui S, Liu D, Lu X (2018) Agricultural multi-water source allocation model based on interval two-stage stochastic robust programming under uncertainty. Water Resour Manag 32(4):1261–1274
Ghosh S, Henderson SG (2003) Behavior of the NORTA method for correlated random vector generation as the dimension increases. ACM Trans Model Comput Simul 13:1–19
Griffith M, Codner G, Weinmann E, Schreider S (2009) Modelling hydroclimatic uncertainty and short-run irrigator decision making: the Goulburn system. Aust J Agr Resour Ec 53(4):565–584. https://doi.org/10.1111/j.1467-8489.2009.00465.x
Guo P, Huang GH (2009) Two-stage fuzzy chance-constrained programming: application to water resources management under dual uncertainties. Stoch Environ Res Risk Assess 23(3):349–359. https://doi.org/10.1007/s00477-008-0221-y
Guo P, Chen X, Li M, Li JB (2014) Fuzzy chance-constrained linear fractional programming approach for optimal water allocation. Stoch Environ Res Risk Assess 28(6):1601–1612. https://doi.org/10.1007/s00477-013-0810-2
IBM ILOG CPLEX Optimizer (2013)
Jaramillo P, Smith R, Andréu J (2005) Multi-decision-makers equalizer: a multiobjective decision support system for multiple decision-makers. Ann Oper Res 138(1):97–111. https://doi.org/10.1007/s10479-005-2447-0
Kucukmehmetoglu M, Guldmann JM (2004) International water resources allocation and conflicts: the case of the Euphrates and Tigris. Environ Plan A 36(5):783–801
Kucukmehmetoglu M, Guldmann J (2010) Multiobjective allocation of Transboundary water resources: case of the Euphrates and Tigris. J Water Resour Plan Manag 136(1):95–105. https://doi.org/10.1061/(ASCE)0733-9496(2010)136:1(95)
Li YP, Huang GH, Nie SL (2006) An interval-parameter multi-stage stochastic programming model for water resources management under uncertainty. Adv Water Resour 29(5):776–789. https://doi.org/10.1016/j.advwatres.2005.07.008
Maqsood I, Huang G, Huang Y, Chen B (2005) ITOM: an interval-parameter two-stage optimization model for stochastic planning of water resources systems. Stoch Environ Res Risk Assess 19(2):125–133. https://doi.org/10.1007/s00477-004-0220-6
McKinney DC, Cai X (1997) Multiobjective optimization model for water allocation in the aral sea basin. In: 3-rd Joint USA/CIS Joint Conference on Environmental Hydrology and Hydrogeology. pp 44–48
MGC (Mahab Ghods Company) (2011) National water master plan study: the Sefidrud Basin. Iranian Ministry of Energy, Tehran
Munia H, Guillaume JHA, Mirumachi N, Porkka M, Wada Y, Kummu M (2016) Water stress in global transboundary river basins: significance of upstream water use on downstream stress. Environ Res Lett 11(1):014002
Niaki STA, Abbasi B (2008) Generating correlation matrices for normal random vectors in NORTA algorithm using artificial neural networks. J Uncertain Syst 2(3):192–201
Nikoo MR, Karimi A, Kerachian R (2013) Optimal long-term operation of reservoir-river systems under hydrologic uncertainties: application of interval programming. Water Resour Manag 27:3865–3883
Pulido-Velázquez M, Andreu J, Sahuquillo A (2006) Economic optimization of conjunctive use of surface water and groundwater at the basin scale. J Water Resour Plan Manag 132(6):454–467. https://doi.org/10.1061/(asce)0733-9496(2006)132:6(454)
Roozbahani R, Schreider S, Abbasi B (2015) Optimal water allocation through a multi-objective compromise between environmental, social, and economic preferences. Environ Model Softw 64(0):18–30. https://doi.org/10.1016/j.envsoft.2014.11.001
Roozbahani R, Abbasi B, Schreider S (2017) Determining location nd capacity of dams through economic and environmental inducators. Water Resour Manag 31:4539–4556. https://doi.org/10.1007/s11269-017-1764-9
Roozbahani R, Abbasi B, Schreider S, Hosseinifard Z (2020) A basin-wide approach for water allocation and dams location-allocation. Ann Oper Res 287:323–349. https://doi.org/10.1007/s10479-019-03345-5
Schlüter M, Savitsky AG, McKinney DC, Lieth H (2005) Optimizing long-term water allocation in the Amudarya River delta: a water management model for ecological impact assessment. Environ Model Softw 20(5):529–545. https://doi.org/10.1016/j.envsoft.2004.03.005
Torabi Palatkaleh S, Estiri K, Hafez B (2010a) The role of environmental requirements in process of water allocation for watersheds in Iran: sustainable development approach. Paper presented at the 2nd international conference water, ecosystems and sustainable development in arid and semi-arid zones, Tehran
Torabi Palatkaleh S, Roozbahani R, Hobevatan M, Estiri K (2010b) Water allocation regulation. Iranian Ministry of Energy Tehran
UNESCAP (2000) Principles and practices of water allocation among water-use sectors. United Nations, economic and social Commission for Asia and the Pacific, Bangkok, Thailand
Wang L, Fang L, Hipel KW (2004) Lexicographic minimax approach to fair water allocation problems. In: Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics, pp 1038–1043
Zhou Y, Huang GH (2011) Factorial two-stage stochastic programming for water resources management. Stoch Environ Res Risk Assess 25(1):67–78. https://doi.org/10.1007/s00477-010-0409-9
Zoltay V, Vogel R, Kirshen P, Westphal K (2010) Integrated watershed management modeling: generic optimization model applied to the Ipswich River basin. J Water Resour Plan Manag 136(5):566–575. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000083
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Roozbahani, R., Abbasi, B., Schreider, S. et al. Dam Location-Allocation under Multiple Hydrological Scenarios. Water Resour Manage 35, 993–1009 (2021). https://doi.org/10.1007/s11269-021-02765-y
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DOI: https://doi.org/10.1007/s11269-021-02765-y