Revisiting Water Supply Rule Curves with Hedging Theory for Climate Change Adaptation
Abstract
:1. Introduction
2. Revisiting Rule Curves with Hedging Theory
2.1. Hedging Theory Formulation for Multiple-Use Water Supply Pattern
2.2. Hedging Theory for Flood-Control Storage Allocation
2.3. Hedging Theory for Refill Period Division
2.4. Hedging Theory for Drawdown Period Division
3. Danjiangkou Reservoir Case Study
3.1. Hedging-Based Water Supply Rule Curves
3.2. Hedging-Based Flood Limited Water Level
3.3. Hedging-Based Refill and Drawdown Periods Design
4. Rule-Curve-Based Adaptation Strategy Under Non-Stationarity
4.1. Rule Curves Response to Average Inflow Changes
4.2. Rule Curves Response to Flood Frequency Changes
5. Conclusions
Author Contributions
Funding
Conflicts of Interest
References
- Li, H.; Wigmosta, M.S.; Wu, H.; Huang, M.; Ke, Y.; Coleman, A.M.; Leung, L.R. A physically based runoff routing model for land surface and earth system models. J. Hydrometeorol. 2013, 14, 808–828. [Google Scholar] [CrossRef]
- Robertson, D.E.; Wang, Q.J. A Bayesian approach to predictor selection for seasonal streamflow forecasting. J. Hydrometeorol. 2012, 13, 155–171. [Google Scholar] [CrossRef]
- Yao, S.; Jiang, D.; Guangzhou, F. Seasonality of Precipitation over China. Chin. J. Atmos. Sci. 2017, 41, 1191–1203. [Google Scholar]
- Liang, L.; Li, L.; Liu, Q. Precipitation variability in Northeast China from 1961 to 2008. J. Hydrol. 2011, 404, 67–76. [Google Scholar] [CrossRef]
- Loucks, D.P.; Van Beek, E.; Stedinger, J.R.; Dijkman, J.P.; Villars, M.T. Water Resources Systems Planning and Management: An Introduction to Methods, Models and Applications; UNESCO: Paris, France, 2005. [Google Scholar]
- Chang, F.J.; Chen, L.; Chang, L.C. Optimizing the reservoir operating rule curves by genetic algorithms. Hydrol. Process. 2005, 19, 2277–2289. [Google Scholar] [CrossRef]
- Wada, Y.; Van Beek, L.P.; Wanders, N.; Bierkens, M.F. Human water consumption intensifies hydrological drought worldwide. Environ. Res. Lett. 2013, 8, 34036. [Google Scholar] [CrossRef] [Green Version]
- Wan, W.; Zhao, J.; Li, H.Y.; Mishra, A.; Ruby Leung, L.; Hejazi, M.; Wang, W.; Lu, H.; Deng, Z.; Demissisie, Y. Hydrological drought in the Anthropocene: Impacts of local water extraction and reservoir regulation in the US. J. Geophys. Res. Atmos. 2017, 122, 11313–11328. [Google Scholar] [CrossRef]
- Ajami, H.; Sharma, A.; Band, L.E.; Evans, J.P.; Tuteja, N.K.; Amirthanathan, G.E.; Bari, M.A. On the non-stationarity of hydrological response in anthropogenically unaffected catchments: An Australian perspective. Hydrol. Earth Syst. Sci. 2017, 21, 281–294. [Google Scholar] [CrossRef]
- Milly, P.; Betancourt, J.; Falkenmark, M.; Hirsch, R.M.; Kundzewicz, Z.W.; Lettenmaier, D.P.; Stouffer, R.J. Stationarity Is Dead: Whither Water Management? Science 2008, 319, 573–574. [Google Scholar] [CrossRef]
- Prasanchum, H.; Kangrang, A. Optimal reservoir rule curves under climatic and land use changes for Lampao Dam using Genetic Algorithm. KSCE J. Civ. Eng. 2018, 22, 351–364. [Google Scholar] [CrossRef]
- Zhou, Y.; Guo, S. Incorporating ecological requirement into multipurpose reservoir operating rule curves for adaptation to climate change. J. Hydrol. 2013, 498, 153–164. [Google Scholar] [CrossRef] [Green Version]
- Ahmadi, M.; Haddad, O.B.; Loáiciga, H.A. Adaptive Reservoir Operation Rules Under Climatic Change. Water Resour. Manag. 2015, 29, 1247–1266. [Google Scholar] [CrossRef]
- Zhao, J.; Cai, X.; Wang, Z. Optimality conditions for a two-stage reservoir operation problem. Water Resour. Res. 2011, 47, W8503. [Google Scholar] [CrossRef]
- You, J.; Cai, X. Hedging rule for reservoir operations: 1. A theoretical analysis. Water Resour. Res. 2008, 44. [Google Scholar] [CrossRef]
- Draper, A.J.; Lund, J.R. Optimal hedging and carryover storage value. J. Water Res. Plan. Manag. 2004, 130, 83–87. [Google Scholar] [CrossRef]
- Bower, B.T.; Hufschmidt, M.M.; Reedy, W.W. Operating procedures: Their role in the design of water-resource systems by simulation analyses. Des. Water Resour. Syst. 1962, 443–458. [Google Scholar] [CrossRef]
- Xu, W.; Zhao, J.; Zhao, T.; Wang, Z. Adaptive Reservoir Operation Model Incorporating Nonstationary Inflow Prediction. J. Water Res. Plan. Manag. 2014, 141, 04014099. [Google Scholar] [CrossRef]
- Hui, R.; Lund, J.; Zhao, J.; Zhao, T. Optimal Pre-storm Flood Hedging Releases for a Single Reservoir. Water Resour. Manag. 2016, 30, 5113–5129. [Google Scholar] [CrossRef]
- Zhao, T.; Zhao, J.; Lund, J.R.; Yang, D. Optimal Hedging Rules for Reservoir Flood Operation from Forecast Uncertainties. J. Water Res. Plan. Manag. 2014, 140, 4014041. [Google Scholar] [CrossRef]
- Wan, W.; Zhao, J.; Lund, J.R.; Zhao, T.; Lei, X.; Wang, H. Optimal Hedging Rule for Reservoir Refill. J. Water Res. Plan. Manag. 2016, 142, 4016051. [Google Scholar]
- Ding, W.; Zhang, C.; Cai, X.; Li, Y.; Zhou, H. Multiobjective hedging rules for flood water conservation. Water Resour. Res. 2017, 53, 1963–1981. [Google Scholar] [CrossRef]
- Liu, Y.; Zhao, J.; Zheng, H. Piecewise-Linear Hedging Rules for Reservoir Operation with Economic and Ecologic Objectives. Water 2018, 10, 865. [Google Scholar] [CrossRef]
- Huang, C.; Zhao, J.; Wang, Z.; Shang, W. Optimal Hedging Rules for Two-Objective Reservoir Operation: Balancing Water Supply and Environmental Flow. J. Water Resour. Plan. Manag. 2016, 142, 4016053. [Google Scholar] [CrossRef]
- Gal, S. Optimal management of a multireservoir water supply system. Water Resour. Res. 1979, 15, 737–749. [Google Scholar] [CrossRef]
- Zhao, T.; Cai, X.; Lei, X.; Wang, H. Improved dynamic programming for reservoir operation optimization with a concave objective function. J. Water Res. Plan. Manag. 2011, 138, 590–596. [Google Scholar] [CrossRef]
- Tu, M.; Hsu, N.; Tsai, F.T.C.; Yeh, W.W.G. Optimization of Hedging Rules for Reservoir Operations. J. Water Res. Plan. Manag. 2008, 134, 3–13. [Google Scholar] [CrossRef]
- Tu, M.; Hsu, N.; William, W.G.; Yeh, H.M.A. Optimization of Reservoir Management and Operation with Hedging Rules. J. Water Res. Plan. Manag. 2003, 129, 86–97. [Google Scholar] [CrossRef]
- Zhao, T.; Zhao, J. Optimizing operation of water supply reservoir: The role of constraints. Math Probl. Eng. 2014, 2014, 1–15. [Google Scholar] [CrossRef]
- Gumbel, E.J. Statistics of Extremes; Wiley: Hoboken, NJ, USA, 1958; pp. 1–30. [Google Scholar]
- Bonnet, M.; Witt, A.; Stewart, K.; Hadjerioua, B.; Mobley, M. The Economic Benefits of Multipurpose Reservoirs in the United States-Federal Hydropower Fleet; National Technical Information Service: Springfield, VA, USA, 2015.
- Penning-Rowsell, E.; Floyd, P.; Ramsbottom, D.; Surendran, S. Estimating Injury and Loss of Life in Floods: A Deterministic Framework. Nat. Hazards 2005, 36, 43–64. [Google Scholar] [CrossRef] [Green Version]
- Arnell, N.W. Expected annual damages and uncertainties in flood frequency estimation. J. Water Res. Plan. Manag. 1989, 115, 94–107. [Google Scholar] [CrossRef]
- Cheng, C.; Wang, W.; Xu, D.; Chau, K.W. Optimizing hydropower reservoir operation using hybrid genetic algorithm and chaos. Water Resour. Manag. 2008, 22, 895–909. [Google Scholar] [CrossRef]
- Liu, B.; Cheng, C.; Wang, S.; Liao, S.; Chau, K.; Wu, X.; Li, W. Parallel chance-constrained dynamic programming for cascade hydropower system operation. Energy 2018, 165, 752–767. [Google Scholar] [CrossRef]
- Ahmad, A.; El-Shafie, A.; Razali, S.F.M.; Mohamad, Z.S. Reservoir optimization in water resources: A Review. Water Resour. Manag. 2014, 28, 3391–3405. [Google Scholar] [CrossRef]
- Tian, J.; Xie, J. Flood prevention benefit of Danjiangkou Reservoir. Yangtze River 1982, 4, 12–20. [Google Scholar]
- Zhou, L. Preliminary analysis of flood control benefit of Danjiangkou Reservoir. Yangtze River 1988, 9, 16–20. [Google Scholar]
- Liu, S. Flood prevention benefit of Danjiangkou reservoir in the summer of 2010. China Flood Drought Manag. 2011, 21, 34–36. [Google Scholar]
- Duan, W.; Guo, S.; Xu, Q.; Li, J. Refilling operation scheme considering water supply for Danjiangkou Reservoir. J. Water Resour. Res. 2017, 529–537. [Google Scholar]
- Wang, Y.; Guo, S.; Yang, G.; Hong, X.; Hu, T. Optimal early refill rules for Danjiangkou Reservoir. Water Sci. Eng. 2014, 7, 403–419. [Google Scholar]
- Wan, W.; Zhao, J.; Li, H.; Mishra, A.; Hejazi, M.; Lu, H.; Demissie, Y.; Wang, H. A Holistic View of Water Management Impacts on Future Droughts: A Global Multimodel Analysis. J. Geophys. Res. Atmos. 2018, 123, 5947–5972. [Google Scholar] [CrossRef]
- Wang, Y.; Wang, X.; Lei, X.; Wang, H. Inflow runoff in the Danjiangkou Reservoir and its evolution. South-to-North Water Transf. Water Sci. Technol. 2015, 13, 15–19. [Google Scholar]
- Yang, N.; Zhao, Q.; Yan, G.; Huang, Q. Quantitative assessment of climate change and human activity impact on inflow decrease of Danjiangkou Reservoir. Resour. Environ. Yangtze Basin 2016, 25, 1129–1134. [Google Scholar]
- Gu, X.; Zhang, Q.; Chen, X.; Jiang, T. Nonstationary flood frequency analysis considering the combined effects of climate change and human activities in the east river basin. Trop. Geogr. 2014, 34, 746–757. [Google Scholar]
- Yang, G.; Guo, S.; Li, L.; Hong, X.; Wang, L. Multi-objective operation rules for Dangjiangkou Reservoir under future runoff changes. J. Hydroelectr. Eng. 2015, 54–63. [Google Scholar] [CrossRef]
- Khaliq, M.N.; Ouarda, T.; Ondo, J.; Gachon, P.; Bobée, B. Frequency analysis of a sequence of dependent and/or non-stationary hydro-meteorological observations: A review. J. Hydrol. 2006, 329, 534–552. [Google Scholar] [CrossRef]
- Yang, Z.; Zhang, L.; Qin, L.; Yang, Y.; Duan, Y. Flood characteristics and future response analysis under the climate change of the Danjiangkou Reservoir. Resrouces Environ. Yangtze Basin 2013, 22, 588–594. [Google Scholar]
- Zhao, T.; Cai, X.; Yang, D. Effect of streamflow forecast uncertainty on real-time reservoir operation. Adv. Water Resour. 2011, 34, 495–504. [Google Scholar] [CrossRef]
- Fallah-Mehdipour, E.; Haddad, O.B.; Mariño, M.A. Real-time operation of reservoir system by genetic programming. Water Resour. Manag. 2012, 26, 4091–4103. [Google Scholar] [CrossRef]
Operation Period | Flood Season | Non-Flood Season |
---|---|---|
Initial storage | ||
Expected inflow | ||
Water availability | ||
Hedging release | ||
Rule-curves release | Increased release (higher than ) | Firm release (lower than ) |
Reservoir Water Level | Transferable Discharge (, m3/s) | |
---|---|---|
Above flood-control curve | Zone 1 | 420 |
Between flood-control and target curves | Zone 2, 3 | 350 |
Between target and firm curves | Zone 4 | 260 |
Below firm curve | Zone 5 | 135 |
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Wan, W.; Zhao, J.; Wang, J. Revisiting Water Supply Rule Curves with Hedging Theory for Climate Change Adaptation. Sustainability 2019, 11, 1827. https://doi.org/10.3390/su11071827
Wan W, Zhao J, Wang J. Revisiting Water Supply Rule Curves with Hedging Theory for Climate Change Adaptation. Sustainability. 2019; 11(7):1827. https://doi.org/10.3390/su11071827
Chicago/Turabian StyleWan, Wenhua, Jianshi Zhao, and Jiabiao Wang. 2019. "Revisiting Water Supply Rule Curves with Hedging Theory for Climate Change Adaptation" Sustainability 11, no. 7: 1827. https://doi.org/10.3390/su11071827