Optimal Hedging Rules for Two-Objective Reservoir Operation: Balancing Water Supply and Environmental Flow
Publication: Journal of Water Resources Planning and Management
Volume 142, Issue 12
Abstract
Analytical optimal hedging rules are derived for two-objective reservoir operation based on the characteristics of economic and multilevel environmental water demands. This approach is employed to balance current and future economic and environmental water demands using a two-period model. According to the marginal values of utilities, the derived three-step hedging rule curves (THRCs) consist of three steps and six stages. The Huaihe River basin of China is taken as an example to regress the THRCs from a two-objective optimization model. Results show that the derived THRCs can be regressed from the optimal release decision, thereby confirming the derivations and theoretical analysis. The shapes of the THRCs are sensitive to the weight parameters of the objectives and capture the core concern of multiobjective reservoir operation. The THRCs tend to widen and flatten the stages with increasing storage capacity, which implies more water storage and more consideration for future demands.
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Acknowledgments
This research was supported by the National Natural Science Foundation of China (Grants No. 91125018 and No. 51579129) and the Ministry of Science and Technology of China (Grant No. 2013BAB05B03).
References
Acreman, M. C., and Dunbar, M. J. (2004). “Defining environmental river flow requirements? A review.” Hydrol. Earth Syst. Sci. Discuss., 8(5), 861–876.
Akbari, M., Afshar, A., and Mousavi, S. J. (2011). “Stochastic multiobjective reservoir operation under imprecise objectives: Multicriteria decision-making approach.” J. Hydroinform., 13(1), 110–120.
Ashofteh, P., Haddad, O., and Loáiciga, H. (2015). “Evaluation of climatic-change impacts on multiobjective reservoir operation with multiobjective genetic programming.” J. Water Resour. Plann. Manage., 04015030.
Bayazit, M., and Ünal, N. E. (1990). “Effects of hedging on reservoir performance.” Water Resour. Res., 26(4), 713–719.
Bergkamp, G., McCartney, M., Dugan, P., McNeely, J., and Acreman, M. (2000). “Dams, ecosystem functions and environmental restoration. Thematic review II, 1.” 〈http://acad.carleton.edu/curricular/BIOL/classes/bio252/DamsReport.pdf〉 (Apr. 24, 2013).
Bower, B. T., Hufschmidt, M. M., and Reedy, W. W. (1962). “Operating procedures: Their role in the design of water-resources systems by simulation analyses.” Design of water-resource systems, A. Maass, et al. eds., Harvard University Press, Cambridge, MA.
Chang, F. J., Chen, L., and Chang, L. C. (2005). “Optimizing the reservoir operating rule curves by genetic algorithms.” Hydrol. Processes, 19(11), 2277–2289.
Draper, A., and Lund, J. (2004). “Optimal hedging and carryover storage value.” J. Water Resour. Plann. Manage., 83–87.
Dynesius, M., and Nilsson, C. (1994). “Fragmentation and flow regulation of river systems in the northern third of the world.” Science, 266(5186), 753–762.
Giuliani, M., Castelletti, A., Pianosi, F., Mason, E., and Reed, P. (2015). “Curses, tradeoffs, and scalable management: Advancing evolutionary multiobjective direct policy search to improve water reservoir operations.” J. Water Resour. Plann. Manage., 04015050.
Guo, X., Hu, T., Zeng, X., and Li, X. (2013). “Extension of parametric rule with the hedging rule for managing multireservoir system during droughts.” J. Water Resour. Plann. Manage., 139–148.
Hashimoto, T., Stedinger, J. R., and Loucks, D. P. (1982). “Reliability, resiliency, and vulnerability criteria for water resource system performance evaluation.” Water Resour. Res., 18(1), 14–20.
Hassanzadeh, E., Elshorbagy, A., Wheater, H., Gober, P., and Nazemi, A. (2015). “Integrating supply uncertainties from stochastic modeling into integrated water resource management: Case study of the Saskatchewan River basin.” J. Water Resour. Plann. Manage., 05015006.
Higgins, J., and Brock, W. (1999). “Overview of reservoir release improvements at 20 TVA dams.” J. Energy Eng., 1–17.
Karim, K., Gubbels, M. E., and Goulter, I. C. (1995). “Review of determination of instream flow requirements with special application to Australia.” J. Am. Water Resour. Assoc., 31(6), 1063–1077.
Kumar, N. D., and Reddy, J. M. (2007). “Multipurpose reservoir operation using particle swarm optimization.” J. Water Resour. Plann. Manage., 192–201.
Labadie, J. (2004). “Optimal operation of multireservoir systems: State-of-the-art review.” J. Water Resour. Plann. Manage., 93–111.
Li, Y., Zhang, C., Chu, J., Cai, X., and Zhou, H. (2015). “Reservoir operation with combined natural inflow and controlled inflow through interbasin transfer: Biliu reservoir in Northeastern China.” J. Water Resour. Plann. Manage., 05015009.
Lotov, A., Bushenkov, V., and Kamenev, G. (2004). Interactive decision maps approximation and visualization of Pareto-frontier, Springer-Verlag, Heidelberg.
McMahon, T. A., and Finlayson, B. L. (1995). “Reservoir system management and environmental flows.” Lakes Reserv. Res. Manage., 1(1), 65–76.
Neelakantan, T. R., and Pundarikanthan, N. V. (1999). “Hedging rule optimisation for water supply reservoirs system.” Water Resour. Manage., 13(6), 409–426.
Oliveira, R., and Loucks, D. P. (1997). “Operating rules for multireservoir systems.” Water Resour. Res., 33(4), 839–852.
Richter, B. D., Mathews, R., Harrison, D. L., and Wigington, R. (2003). “Ecologically sustainable water management: Managing river flows for ecological integrity.” Ecol. Appl., 13(1), 206–224.
Scheurer, T., and Molinari, P. (2003). “Experimental floods in the River Spöl, Swiss National Park: Framework, objectives and design.” Aquat. Sci., 65(3), 183–190.
Shiau, J. T. (2009). “Optimization of reservoir hedging rules using multiobjective genetic algorithm.” J. Water Resour. Plann. Manage., 355–363.
Shiau, J. T. (2011). “Analytical optimal hedging with explicit incorporation of reservoir release and carryover storage targets.” Water Resour. Res., 47(1), W01515.
Shih, J., and ReVelle, C. (1994). “Water-supply operations during drought: Continuous hedging rule.” J. Water Resour. Plann. Manage., 613–629.
Shih, J., and ReVelle, C. (1995). “Water-supply operations during drought: A discrete hedging rule.” European J. Oper. Res., 82(1), 163–175.
Smakhtin, V. U. (2001). “Low flow hydrology: A review.” J. Hydrol., 240(3-4), 147–186.
Smith, R., Kasprzyk, J., and Zagona, E. (2015). “Many-objective analysis to optimize pumping and releases in multireservoir water supply network.” J. Water Resour. Plann. Manage., 04015049.
Stanford, J. A., Ward, J. V., Liss, W. J., Frissell, C. A., and Williams, R. N. (1996). “A general protocol for restoration of regulated rivers.” Regul. Rivers: Res. Manage., 12(4–5), 391–413.
Stedinger, J. R. (1984). “The performance of LDR models for preliminary design and reservoir operation.” Water Resour. Res., 20(2), 215–224.
Suen, J. P., and Eheart, J. W. (2006). “Reservoir management to balance ecosystem and human needs: Incorporating the paradigm of the ecological flow regime.” Water Resour. Res., 42(3), W03417.
Thomas, H. A., and Fiering, M. B. (1962). “Mathematical synthesis of streamflow sequences for the analysis of river basins by simulation.” Design of water resource systems, Harvard University Press, Cambridge, MA, 459–493.
Tu, M. Y., Hsu, N. S., Tsai, F. T. C., and Yeh, W. W. G. (2008). “Optimization of hedging rules for reservoir operations.” J. Water Resour. Plann. Manage., 3–13.
Tu, M. Y., Hsu, N. S., and Yeh, W. W. G. (2003). “Optimization of reservoir management and operation with hedging rules.” J. Water Resour. Plann. Manage., 86–97.
Yin, X. A., Yang, Z. F., and Petts, G. E. (2011). “Reservoir operating rules to sustain environmental flows in regulated rivers.” Water Resour. Res., 47(8), W08509.
You, J. Y., and Cai, X. M. (2008a). “Hedging rule for reservoir operations. 1. A theoretical analysis.” Water Resour. Res., 44(1), W01415.
You, J. Y., and Cai, X. M. (2008b). “Hedging rule for reservoir operations. 2. A numerical model.” Water Resour. Res., 44(1), W01416.
Zhao, J. S., Cai, X. M., and Wang, Z. J. (2011). “Optimality conditions for a two-stage reservoir operation problem.” Water Resour. Res., 47(8), W08503.
Zhao, T., and Zhao, J. (2014a). “Improved multiple-objective dynamic programming model for reservoir operation optimization.” J. Hydroinf., 16(5), 1142–1157.
Zhao, T., and Zhao, J. (2014b). “Joint and respective effects of long- and short-term forecast uncertainties on reservoir operations.” J. Hydrol., 517, 83–94.
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© 2016 American Society of Civil Engineers.
History
Received: Mar 31, 2015
Accepted: May 12, 2016
Published online: Jul 18, 2016
Published in print: Dec 1, 2016
Discussion open until: Dec 18, 2016
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