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Risk variation of reservoir regulation during flood season based on bivariate statistical approach under climate change: a case study in the Chengbihe reservoir, China

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Abstract

The risk analysis of reservoir regulation in the flood season is crucial and provides the valuable information for reservoir flood control, safety operation, and decision making, especially under climate change. The purpose of this study is to propose a framework for reasonably estimating the variation of reservoir regulation risk including the dam extreme risk and the overtopping risk during the flood season under climate change. The framework consists of an integrated diagnostic system for detecting the climate abrupt change time, a copula function-based bivariate statistical approach for modeling the dependence between the flood peak and flood volume, a Monte Carlo simulation for generating numerous random flood peak–volume pairs, and a risk calculation model for routing the design flood hydrographs to obtain the frequency curve of the maximum water level reached in front of dam and evaluating the reservoir regulation risk. The methodology was implemented in the Chengbihe reservoir in south China by using the 55-year (1963–2017) hydrometeorological data, including temperature, evaporation, precipitation, and streamflow, in the flood season. Results show that the hydrometeorological series during the flood season changed abruptly in 1992 and the entire data can be divided into two periods (1963–1992 and 1993–2017). The dam extreme risk and overtopping risk during the two periods are assessed, respectively, and a comparison analysis is made based on different flood limit water-level schemes (185.00–188.50 m). It demonstrates that both the dam extreme risk and the dam overtopping risk increase under the influence of climate change. The dam extreme risk increases by 22.91–95.03%, while the climate change-induced increase in the dam overtopping risk is between 38.62 and 123.59%, which indicates that the dam overtopping risk is more sensitive to climate change than the dam extreme risk. The risk evaluations in the study are of great significance in the safety operation and risk management of reservoirs under future climate change.

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References

  • Allen MR, Ingram WJ (2002) Constraints on future changes in climate and the hydrologic cycle. Nature 419:224–232

    Article  Google Scholar 

  • Apel H, Thieken AH, Merz B, Blöschl G (2004) Flood risk assessment and associated uncertainty. Nat Hazards Earth Syst Sci 4:295–308

    Article  Google Scholar 

  • Arnell NW, Gosling SN (2016) The impacts of climate change on river flood risk at the global scale. Clim Change 134:387–401

    Article  Google Scholar 

  • Bernaola-Galvan P, Ivanov PC, Nunes Amaral LA, Stanley HE (2001) Scale invariance in the nonstationarity of human heart rate. Phys Rev Lett 87:168105

    Article  Google Scholar 

  • Brabson BB, Palutikof JP (2002) The evolution of extreme temperatures in the Central England temperature record. Geophys Res Lett 29(24):2163

    Article  Google Scholar 

  • Chen YF, Hou Y, Van Gelder P, Zhigui S (2002) Study of parameter estimation methods for Pearson-III distribution in flood frequency analysis. In: Snorrason A, Finnsdottir HP, Moss ME (eds) Extremes of the extremes: extraordinary floods, vol 271. Iahs Publication, Int Assoc Hydrological Sciences, Wallingford, pp 263–269

    Google Scholar 

  • Chen LX, Zhou XJ, Li WL, Luo YF, Zhu WQ (2004) The characteristics and formation mechanism of climate change in China in recent 80 years. Acta Meteorol Sin 05:634–646 (in Chinese)

    Google Scholar 

  • Chen XD, Hossain F, Leung LR (2017) Probable maximum precipitation in the US Pacific Northwest in a changing climate. Water Resour Res 53:9600–9622

    Article  Google Scholar 

  • Dankers R et al (2014) First look at changes in flood hazard in the Inter-Sectoral Impact Model Intercomparison Project ensemble. Proc Natl Acad Sci U S A 111:3257–3261

    Article  Google Scholar 

  • Daufresne M, Lengfellner K, Sommer U (2009) Global warming benefits the small in aquatic ecosystems. Proc Natl Acad Sci U S A 106:12788–12793

    Article  Google Scholar 

  • De Michele C, Salvadori G, Canossi M, Petaccia A, Rosso R (2005) Bivariate statistical approach to check adequacy of dam spillway. J Hydrol Eng 10:50–57

    Article  Google Scholar 

  • Ehsani N, Vorosmarty CJ, Fekete BM, Stakhiv EZ (2017) Reservoir operations under climate change: storage capacity options to mitigate risk. J Hydrol 555:435–446

    Article  Google Scholar 

  • Evans JE, Mackey SD, Gottgens JF, Gill WM (2000) Lessons from a Dam failure. Ohio J Sci 100:121–131

    Google Scholar 

  • Fowler HJ, Kilsby CG (2003) A regional frequency analysis of United Kingdom extreme rainfall from 1961 to 2000. Int J Climatol 23:1313–1334

    Article  Google Scholar 

  • Genest C, Favre AC (2007) Everything you always wanted to know about copula modelling but were afraid to ask. J Hydrol Eng 12:347–368

    Article  Google Scholar 

  • Genest C, Remillard B, Beaudoin D (2009) Goodness-of-fit tests for copulas: a review and a power study. Insur Math Econ 44:199–213

    Article  Google Scholar 

  • Goodarzi E, Lee TS, Ziaei M (2014) Risk and uncertainty analysis for dam overtopping—case study: The Doroudzan Dam. Iran J Hydro-environ Res 8:50–61

    Article  Google Scholar 

  • Graler B, van den Berg MJ, Vandenberghe S, Petroselli A, Grimaldi S, De Baets B, Verhoest NEC (2013) Multivariate return periods in hydrology: a critical and practical review focusing on synthetic design hydrograph estimation. Hydrol Earth Syst Sci 17:1281–1296

    Article  Google Scholar 

  • Grimaldi S, Serinaldi F (2006) Asymmetric copula in multivariate flood frequency analysis. Adv Water Resour 29:1155–1167

    Article  Google Scholar 

  • Guo SL, Zhang HG, Chen H, Peng DZ, Liu P, Pang B (2004) A reservoir flood forecasting and control system for China. Hydrol Sci J-J Sci Hydrol 49:959–972

    Google Scholar 

  • Hirabayashi Y et al (2013) Global flood risk under climate change. Nat Clim Change 3:816–821

    Article  Google Scholar 

  • Ho M et al (2017) The future role of dams in the United States of America. Water Resour Res 53:982–998

    Article  Google Scholar 

  • Huang ZP, Wang YT, Zhang JJ, Cheng L (2011) Extreme risk analysis under uncertainty of design flood. China Rural Water Hydropower 02:117–120 (in Chinese)

    Google Scholar 

  • Jiang HY, Yu ZB, Mo CX (2015) Reservoir flood season segmentation and optimal operation of flood-limiting water levels. J Hydrol Eng 20:7

    Article  Google Scholar 

  • Kahya E, Kalayci S (2004) Trend analysis of streamflow in Turkey. J Hydrol 289:128–144

    Article  Google Scholar 

  • Koutrouvelis IA, Canavos GC (1999) Estimation in the Pearson type 3 distribution. Water Resour Res 35:2693–2704

    Article  Google Scholar 

  • Kundzewicz ZW et al (2014) Flood risk and climate change: global and regional perspectives. Hydrol Sci J-J Sci Hydrol 59:1–28

    Article  Google Scholar 

  • Kuo JT, Yen BC, Hsu YC, Lin HF (2007) Risk analysis for Dam overtopping—Feitsui reservoir as a case study. J Hydraul Eng-ASCE 133:955–963

    Article  Google Scholar 

  • Kwon HH, Moon YI (2006) Improvement of overtopping risk evaluations using probabilistic concepts for existing dams. Stoch Environ Res Risk Assess 20:223–237

    Article  Google Scholar 

  • Lei H, Xie P, Chen G, Li J (2007) Comparison and analysis on the performance of hydrological time series change-point testing methods. Water Resour Power 25:36–40

    Google Scholar 

  • Li N, Liu X, Xie W, Wu J, Zhang P (2013) The return period analysis of natural disasters with statistical modeling of bivariate joint probability distribution. Risk Anal 33:134–145

    Article  Google Scholar 

  • Liang XY, Lu YD, Sun DY, Zhang HB, Yang YH (2016) Ecological-hydrological variation analysis in the upstream Yellow River based on mutation test. China Rural Water Hydropower 1–5+10 (in Chinese)

  • Liu ZJ, Xu XF, Cheng JQ, Wen TF, Niu J (2018) Hydrological risk analysis of dam overtopping using bivariate statistical approach: a case study from Geheyan Reservoir, China. Stoch Environ Res Risk Assess 32:2515–2525

    Article  Google Scholar 

  • Mallakpour I, Villarini G (2017) Analysis of changes in the magnitude, frequency, and seasonality of heavy precipitation over the contiguous USA. Theor Appl Climatol 130:345–363

    Article  Google Scholar 

  • Mediero L, Jimenez-Alvarez A, Garrote L (2010) Design flood hydrographs from the relationship between flood peak and volume. Hydrol Earth Syst Sci 14:2495–2505

    Article  Google Scholar 

  • Milly PCD, Wetherald RT, Dunne KA, Delworth TL (2002) Increasing risk of great floods in a changing climate. Nature 415:514–517

    Article  Google Scholar 

  • Milly PCD, Dunne KA, Vecchia AV (2005) Global pattern of trends in streamflow and water availability in a changing climate. Nature 438:347–350

    Article  Google Scholar 

  • Mo C, Mo G, Liu P, Zhong H, Wang D, Huang Y, Jin J (2018) Reservoir operation by staging due to climate variability. Hydrol Sci J-J Sci Hydrol 63:926–937

    Article  Google Scholar 

  • Mo C, Ruan Y, He J, Jin J, Liu P, Sun G (2019) Frequency analysis of precipitation extremes under climate change. Int J Climatol 39:1373–1387

    Article  Google Scholar 

  • Modarres R, da Silva VDR (2007) Rainfall trends in arid and semi-arid regions of Iran. J Arid Environ 70:344–355

    Article  Google Scholar 

  • Moftakhari HR, Salvadori G, AghaKouchak A, Sanders BF, Matthew RA (2017) Compounding effects of sea level rise and fluvial flooding. Proc Natl Acad Sci U S A 114:9785–9790

    Article  Google Scholar 

  • Nelsen RB (1999) An introduction to copulas. Springer, New York

    Book  Google Scholar 

  • Nelsen RB (2006) An introduction to Copulas. Springer series in statistics, 2nd edn. Springer, New York

    Google Scholar 

  • Nijssen D, Schumann A, Pahlow M, Klein B (2009) Planning of technical flood retention measures in large river basins under consideration of imprecise probabilities of multivariate hydrological loads. Nat Hazards Earth Syst Sci 9:1349–1363

    Article  Google Scholar 

  • Pettitt AN (1979) A non-parametric approach to the change-point problem. Appl Stat 28:126–135

    Article  Google Scholar 

  • Poduje ACC, Belli A, Haberlandt U (2014) Dam risk assessment based on univariate versus bivariate statistical approaches: a case study for Argentina. Hydrol Sci J-J Sci Hydrol 59:2216–2232

    Article  Google Scholar 

  • Reddy MJ, Ganguli P (2012) Bivariate flood frequency analysis of upper Godavari river flows using Archimedean Copulas. Water Resour Manag 26:3995–4018

    Article  Google Scholar 

  • Requena AI, Mediero L, Garrote L (2013) A bivariate return period based on copulas for hydrologic dam design: accounting for reservoir routing in risk estimation. Hydrol Earth Syst Sci 17:3023–3038

    Article  Google Scholar 

  • Sadegh M et al (2018) Multihazard scenarios for analysis of compound extreme events. Geophys Res Lett 45:5470–5480

    Article  Google Scholar 

  • Salvadori G, De Michele C (2004) Frequency analysis via copulas: theoretical aspects and applications to hydrological events. Water Resour Res 40:17

    Article  Google Scholar 

  • Salvadori G, De Michele C, Durante F (2011) On the return period and design in a multivariate framework. Hydrol Earth Syst Sci 15:3293–3305

    Article  Google Scholar 

  • Shiau JT, Wang HY, Tsai CT (2006) Bivariate frequency analysis of floods using copulas. J Am Water Resour As 42:1549–1564

    Article  Google Scholar 

  • Slater LJ, Wilby RL (2017) Measuring the changing pulse of rivers. Science 357:552–552

    Article  Google Scholar 

  • Sraj M, Bezak N, Brilly M (2015) Bivariate flood frequency analysis using the copula function: a case study of the Litija station on the Sava River. Hydrol Process 29:225–238

    Article  Google Scholar 

  • Sun YF, Chang HT, Miao ZJ, Zhong DH (2012) Solution method of overtopping risk model for earth dams Safety. Science 50:1906–1912

    Google Scholar 

  • Tabari H, Marofi S (2011) Changes of pan evaporation in the West of Iran. Water Resour Manag 25:97–111

    Article  Google Scholar 

  • Wang JK, Wang J (2018) Discussing the influence of lag-one autocorrelation on the MK test. J Shandong Univ Sci Technol 32(02):66–69

    Google Scholar 

  • Wang ZY, Ding YH, He JH (2004) The reanalysis of the characteristics of climate change in China in recent 50 years. Acta Meteorol Sin 02:228–236

    Google Scholar 

  • Wang WS, Jin JL, Ding J, Li YQ (2009) A new approach to water resources system assessment—set pair analysis method. Sci China Ser E-Technol Sci 52:3017–3023

    Article  Google Scholar 

  • Wang W et al (2017) Dam construction in Lancang-Mekong river basin could mitigate future flood risk from warming-induced intensified rainfall. Geophys Res Lett 44:10378–10386

    Article  Google Scholar 

  • Wei W (2014) Research on reservoir staging operation in flood season and effect evaluation. Guangxi University

    Google Scholar 

  • Wei YX, Wang LX (2005) Engineering hydrology. China Water Power Press, Beijing (in Chinese)

    Google Scholar 

  • Winsemius HC et al (2016) Global drivers of future river flood risk. Nat Clim Chang 6:381–385

    Article  Google Scholar 

  • Xiao Y, Guo SL, Xiong LH, Liu P, Fang B (2007) A new random simulation method for constructing synthetic flood hydrographs. J Sichuan Univ (Eng Sci Edn) 2:55–60 (in Chinese)

    Google Scholar 

  • Yin JB, Guo SL, Liu ZJ, Yang G, Zhong YX, Liu DD (2018) Uncertainty analysis of bivariate design flood estimation and its impacts on reservoir routing. Water Resour Manag 32:1795–1809

    Article  Google Scholar 

  • Yue S, Pilon P (2004) A comparison of the power of the t test, Mann–Kendall and bootstrap tests for trend detection. Hydrol Sci J-J Sci Hydrol 49:21–37

    Article  Google Scholar 

  • Yue S, Ouarda T, Bobee B, Legendre P, Bruneau P (2002) Approach for describing statistical properties of flood hydrograph. J Hydrol Eng 7:147–153

    Article  Google Scholar 

  • Zhang L, Singh VP (2006) Bivariate flood frequency analysis using the copula method. J Hydrol Eng 11:150–164

    Article  Google Scholar 

  • Zhang D, Cong Z, Ni G (2013) Comparison of three Mann–Kendall methods based on the Chinas meteorological data. Adv Water Sci 24:490–496

    Google Scholar 

  • Zhong H (2017) Reservoir flood season staging operation research base on climate change. Guangxi University

    Google Scholar 

  • Zhong YX, Guo SL, Liu ZJ, Wang Y, Yin JB (2018) Quantifying differences between reservoir inflows and dam site floods using frequency and risk analysis methods. Stoch Environ Res Risk Assess 32:419–433

    Article  Google Scholar 

  • Zhou TY (1998) structure reliability. China Communication Press, Beijing (in Chinese)

    Google Scholar 

  • Zhou Y, Shi C, FanJun XDU (2011) Advances in the research methods of abrupt changes of hydrologic sequences and their applications in drainage basins in china. Prog Geogr 30(11):1361–1369 (in Chinese)

    Google Scholar 

Download references

Acknowledgements

This study was financially supported by the National Key Research and Development Project (Grant No. 2017YFA0604300) and the National Natural Science Foundation of China (Grant Nos. 51779278, 51969004). The authors would be grateful for the editors and anonymous reviewers whose professional comments help to improve the quality of this manuscript.

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Correspondence to Dagang Wang.

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Wang, D., Wang, D., Mo, C. et al. Risk variation of reservoir regulation during flood season based on bivariate statistical approach under climate change: a case study in the Chengbihe reservoir, China. Nat Hazards 108, 1585–1608 (2021). https://doi.org/10.1007/s11069-021-04746-1

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