Economic Model for Optimal Allocation of Water Resources with an Emphasis on Risk and Consistency Index in the Sistan Region: The Application of Interval Two-Stage Stochastic Programming Method

Document Type : Research Article

Authors

1 Department of Agricultural Economics, Agricultural Institute, Research Institute of Zabol, Zabol, Iran

2 Department of Agricultural Economics, Management and Economic Faculty, University of Sistan and Baluchestan, Zahedan, Iran

Abstract

The issue of water resource management in the Sistan region has been complicated by water fluctuations of the Hirmand River and the competition of the drinking, agricultural, and environmental sectors on water use. The present study applies the economic model including interval two-stage stochastic programming (TSP) method under uncertainty conditions to study agricultural water allocation and the assessment of risk and consistency including stochastic simulation of the existing water, an optimization model of agricultural water, and the risk assessment of the water shortage under three scenarios of high, average, and low inflow levels in three regions of Zahak, Zabol, and Miankangi as the three main agricultural areas in Sistan for the time horizon of 2019-2020. The results show that there will be no water shortage for agricultural users in the Zahak region at the high and average inflow levels. But, this area will need 122 million m3 more water at the low inflow level. Also, the water shortage in the Zabol area will be inadequate by 149.69 million m3 at the average inflow level and by 185.65 million m3 at the low inflow level. Also Miankangi County no water will be allocated to this sector. The risk assessment of agricultural water shortage by the results of optimization will help decision-makers better understand the risk of water shortage under different scenarios. It is found that the Zabol region will have higher risk of agricultural water shortage than the Zahak region, so efficient risk management should be initiated from this region.

Keywords


Acharya, S., Belay, B., and Mishra, R. (2021). Solving multi-objective chance constrained programming problem involving three parameters log normal distribution. International Journal of Mathematics in Operational Research, 18(2), 236-253.
Ahmadi, A., Moridi, A., & Sarang, A. (2017). Integrated Planning of Water Resources Based on Sustainability Indices, a Case Study: Hamoon-Jazmorian Basin. Environmental Energy and Economic Research, 1(1), 61-74.
Charnes, A. and Cooper, W. (1959). Chance Constrained Programming. Management Science, 6, 73 – 79.
Chen, D., Cai, Y., Wang, X., Li, C., Yin, X., and Liu, Q. (2021). An inexact modeling approach for supporting water resources allocation under natural and social complexities in a border city of China and Myanmar. Resources, Conservation and Recycling, 168, 105245.
Farrokhzadeh, S., Hashemi Monfared, S. A., Azizyan, G., Sardar Shahraki, A., Ertsen, M. W., and Abraham, E. (2020). Sustainable water resources management in an arid area using a coupled optimization-simulation modeling. Water, 12(3), 885.
Ghaffari Moghaddam, Z. (2021). Economic management of water resources in the agricultural sector in the basin of Hirmand under an integrated approach of the game theory and water market (Ph.D. Dissertation). Department of Agricultural Economics, Sistan and Baluchistan University Press: Zabol, Iran.
Gong, X., Zhang, H., Ren, C., Sun, D., and Yang, J. (2020). Optimization allocation of irrigation water resources based on crop water requirement under considering effective precipitation and uncertainty. Agricultural Water Management, 239, 106264.
Guo, P., Huang, G. H., He, L., and Zhu, H. (2009). Interval-parameter two-stage stochastic semi-infinite programming: application to water resources management under uncertainty. Water resources management, 23(5), 1001-1023.
Guo, W., Shao, D., and Jiang, Y. (2012). Risk evaluation of water shortage in source area of middle route project for South-to-North Water Transfer in China. Water resources management, 26(12), 3479-3493.
Hashimoto, T., Stedinger, J. R., and Loucks, D. P. (1982). Reliability, resiliency, and vulnerability criteria for water resource system performance evaluation. Water resources research, 18(1), 14-20.
Hosseinzad, J., Raei, M. (2021). Water Shortage Risk Assessment Using an Interactive Two-stage Stochastic Programming Model (Case Study: Marand Basin). Journal Of Agricultural Economics and Development, 35(2), 161-178.
Huang, G. H. and Loucks, D. P. (2000). An inexact two-stage stochastic programming model for water resources management under uncertainty. Civil Engineering Systems, 17(2), 95-118.
International Water Management Institute. 2000. World water supply and demand. International Water Management Institute, Colombo, Sri Lanka.
Ji, L., Sun, P., Ma, Q., Jiang, N., Huang, G. H., and Xie, Y. L. (2017). Inexact two-stage stochastic programming for water resources allocation under considering demand uncertainties and response—A case study of Tianjin, China. Water, 9(6), 414.
Kalbali, E., Sabouhi, M., and Ahmadpour, M. (2017). Strategies of Voshmgir Dam Water Allocation Using Two-Stage Stochastic Programming. Water and Soil, 30(6), 1832-1847. doi: 10.22067/jsw.v30i6.45120
Kambo, N. S. (1984). Mathematical Programming Techniques, Affiliated East.
Li Y.P., Liu J., and Huang G.H. 2014. A hybrid fuzzy-stochastic programming method for water trading within an agricultural system. Agricultural Systems 123: 71–83
Li Y.P.، Huang G.H.، Ynng Z.F.، and Nie S.L. 2008. IFMP: Interval-fuzzy multistage  programming for water resources management under uncertainty. Journal of Resources Conservation and Recycling، 52: 800-812
Li, M., and Guo, P. (2014). A multi-objective optimal allocation model for irrigation water resources under multiple uncertainties. Applied Mathematical Modelling, 38(19-20), 4897-4911.
Li, M., Fu, Q., Singh, V. P., Liu, D., and Gong, X. (2020). Risk-based agricultural water allocation under multiple uncertainties. Agricultural Water Management, 233, 106105.
Li, M., Guo, P., Singh, V. P., and Yang, G. (2016). An uncertainty-based framework for agricultural water-land resources allocation and risk evaluation. Agricultural water management, 177, 10-23.
Ling، J.، Ping، S.، Qiang، M.، na، J.، Guo-He، H. and Yu-Lei، X. (2017). Inexact Two-Stage Stochastic Programming for Water Resources Allocation under Considering Demand Uncertainties and Response—A Case Study of Tianjin، China. Water، 9(414).
Loucks, D. P., Stedinger, J. R., and Haith, D. A. (1981). Water resource systems planning and analysis. Prentice-Hall..
Ma, X., Wang, H., Yu, L., Li, Y., Fan, Y., Zhang, J., and Zhang, J. (2020). Multi-preference based interval fuzzy-credibility optimization for planning the management of multiple water resources with multiple water-receiving cities under uncertainty. Journal of Hydrology, 591, 125259.
Maqsood, I., Huang, G. H., and Yeomans, J. S. (2005). An interval-parameter fuzzy two-stage stochastic program for water resources management under uncertainty. European Journal of Operational Research, 167(1), 208-225.
Meng, C., Li, W., Cheng, R., and Zhou, S. (2021). An Improved Inexact Two-Stage Stochastic with Downside Risk-Control Programming Model for Water Resource Allocation under the Dual Constraints of Water Pollution and Water Scarcity in Northern China. Water, 13(9), 1318.
Mozaffari, M. (2014). The development of a model for water resource management in Sistan (Ph.D. Dissertation). Zabol, Iran: Zabol University Press. (In Persian)
Nasseri, H., and Bavandi, S. (2017). Presentation of a model for solving multi-objective programming problems using the hyperbolic membership function. Journal of Operational Research and Its Application (Applied Mathematics), 14(4), 21-33. (In Persian with English Abstract)
Nouri, S., Shahraki, J., and Sardar Shahraki, A. (2020). Application of Firefly Fractional Algorithm (FA) In Optimal Water Resources Distribution in Chahnimeh of Sistan under the Managerial Scenarios. Water Resources Engineering, 12(43), 64-75.
Ren, C., Li, Z., and Zhang, H. (2019). Integrated multi-objective stochastic fuzzy programming and AHP method for agricultural water and land optimization allocation under multiple uncertainties. Journal of cleaner production, 210, 12-24.
Ren, C., Xie, Z., Zhang, Y., Wei, X., Wang, Y., and Sun, D. (2021). An improved interval multi-objective programming model for irrigation water allocation by considering energy consumption under multiple uncertainties. Journal of Hydrology, 602, 126699.
Ruan, B.Q.,  Han, Y.P., Wang, H. and Jiang, R.F. 2005. Fuzzy comprehensive assessment af water shortage risk. J. Hydraul.Eng, 36(8).906-912.
Safavi, H. R., and Golmohammadi, M. H. (2016). Evaluating the water resource systems performance using fuzzy reliability, resilience and vulnerability.
Sardar Shahraki, A., Shahraki, J., and Hashemi Monfared SA, S. A. (2018). An integrated Fuzzy multi-criteria decision-making method combined with the WEAP model for prioritizing agricultural development, case study: Hirmand Catchment. ECOPERSIA, 6(4), 205-214.
Sethi L.N., Panda S.N., and Nayak M.K. 2006. Optimal crop planning and water resources allocation in a coastal groundwater basin، Orissa، India. Journal of Agricultural Water Management، 83:209-220.
Singh A. 2015. Land and water management planning for increasing farm income in irrigated dry areas. Land Use Policy 42: 224–250
Wang, Y., and Zhu, G. (2021). Inexact left-hand side two-stage chance-constrained programming for booster optimization in water distribution system. Journal of Environmental Management, 298, 113372.
Wang, Y., Li, Z., Guo, S., Zhang, F., and Guo, P. (2020). A risk-based fuzzy boundary interval two-stage stochastic water resources management programming approach under uncertainty. Journal of Hydrology, 582, 124553.r
Wu, H., Yue, Q., Guo, P., Pan, Q., and Guo, S. (2021). Sustainable regional water allocation under water-energy nexus: A chance-constrained possibilistic mean-variance multi-objective programming. Journal of Cleaner Production, 127934.
Yue, Q., Zhang, F., Zhang, C., Zhu, H., Tang, Y., and Guo, P. (2020). A full fuzzy-interval credibility-constrained nonlinear programming approach for irrigation water allocation under uncertainty. Agricultural Water Management, 230, 105961.
Zadeh, L.A., (1965). Fuzzy sets. Information and control, 8, 338-353.
Zhang, C., Guo, P., and Huo, Z. (2021). Irrigation water resources management under uncertainty: An interval nonlinear double-sided fuzzy chance-constrained programming approach. Agricultural Water Management, 245, 106658.