Abstract
We build copula function-based joint distribution models for the annual maximum flood peaks of the Yangtze River and Poyang Lake, to analyze the coincidence probabilities, using scenarios that combine with the impoundment of three Gorges, define influencing indexes and relative contribution rates on flood coincidence at varying frequencies. The study shows the probabilities for coincidence of floods with 1000, 100, and 10-year return periods in both Yangtze main stem and Poyang Lake are respectively 0.02, 0.19 and 2.87%, with higher coincidence probabilities for shorter return periods; when 1000-year flood occurs in the Yangtze, the probabilities for Poyang Lake to encounter flood of the 1000, 100, or 10-year magnitude are higher than 16.08, 42.48 or 74.77% respectively; Poyang–Yangtze flood coincidence is affected by operation of the hydraulic engineering. The lowering of flood peaks caused by the Three Gorges impoundment and regulation of the lake have respectively reduced the probabilities of Poyang–Yangtze flood coincidence by about 7.0 and 1.97%, with average relative contribution rates − 33.82 and − 17.1%; influenced by hydrological projects in Poyang basin, variations in Poyang’s inflow flood have displayed an average contribution rate of 20.4% for the negative effect on extreme (P < 5% or P > 90%) flood coincidence, while having a positive contribution rate of 38.2% on floods of other return periods. The results can help increase our understanding of flood coincidence, and support flood control efforts in Poyang Lake; its analytical approach may also be useful to other applications of copula functions.
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References
Almasi P, Soltani S (2016) Assessment of the climate change impacts on flood frequency (case study: Bazoft Basin, Iran). Stoch Env Res Risk Assess 31(5):1–12
Bárdossy A (2006) Copula-based geostatistical models for groundwater quality parameters. Water Resour Res 42(11):150–152
Bárdossy A, Pegram GGS (2009) Copula based multisite model for daily precipitation simulation. Hydrol Earth Syst Sci Dis 13(12):2299–2314
Bell M (2012) Climate change, extreme weather events and issues of human perception. Archaeol Dialog 19(01):42–46
Buda Su, Xiao Bo, Zhu Deming et al (2005) Trends in frequency of precipitation extremes in the Yangtze River area, China: 1960–2003. Hydrol Sci J 50(3):479–492
Chen L, Singh VP, Shenglian G et al (2011) Flood coincidence risk analysis using multivariate copula functions. J Hydrol Eng 17(6):742–755
Chen L, Singh VP, Guo S et al (2013) Drought analysis using copulas. J Hydrol Eng 18(7):797–808
Chen L, Ye L, Singh V et al (2014) Determination of input for artificial neural networks for flood forecasting using the copula entropy method. J Hydrol Eng 19(11):217–226
Dupuis DJ (2014) Using copulas in hydrology: benefits, cautions, and issues. J Hydrol Eng 12(4):381–393
Genest C, Favre AC (2007) Everything you always wanted to know about copula modeling but were afraid to ask. Am Soc Civil Eng 12(4):347–368
Guo H, Hu Q, Jiang T (2008) Annual and seasonal streamflow responses to climate and land-cover changes in the Poyang Lake area, China. J Hydrol 355(1–4):106–122
Guo H, Hu Q, Zhang Q et al (2012) Annual variations in climatic and hydrological processes and related flood and drought occurrences in the Poyang Lake Basin. Acta Geogr Sin 67(5):699–709
Hansen BB, Isaksen K, Benestad RE et al (2014) Warmer and wetter winters: characteristics and implications of an extreme weather event in the High Arctic. Environ Res Lett 9(11):114021–114030
Hu Q, Feng S, Guo H et al (2007) Interactions of the Yangtze river flow and hydrologic processes of the Poyang Lake, China. J Hydrol 60(1):49–64
Jeong DI, Sushama L, Khaliq MN et al (2014) A copula-based multivariate analysis of Canadian RCM projected changes to flood characteristics for northeastern Canada. Clim Dyn 42(7–8):2045–2066
Kao SC, Rao SG (2010) A copula-based joint deficit index for droughts. J Hydrol 380(1–2):121–134
Lai X, Liang Q, Jiang J et al (2014) Impoundment effects of the three-gorges-dam on flow regimes in two China’s largest freshwater lakes. Water Resour Manage 28(14):5111–5124
Li Q, Zou Z, Xia Z et al (2007) Impacts of human activities on the flow regime of the Yangtze River. IAHS Publ-Ser Proc Rep 315:266–275
Liu Z, Guo S, Guo J et al (2016) The impact of three Gorges Reservoir refill operation on water levels in Poyang Lake, China. Stoch Env Res Risk Assess 31(4):879–891
Massey FJ (1951) The Kolmogorov–Smirnov test for goodness of fit. J Am Stat Assoc 46(253):68–78
Michele CD, Salvadori G, Canossi M et al (2005) Bivariate statistical approach to check adequacy of dam spillway. J Hydrol Eng 10(1):50–57
Requena AI, Flores I, Mediero L et al (2016) Extension of observed flood series by combining a distributed hydro-meteorological model and a copula-based model. Stoch Env Res Risk Assess 30(5):1363–1378
Salvadori G, Michele CD (2011) Estimating strategies for multiparameter multivariate extreme value copulas. Hydrol Earth Syst Sci 15(1):141–150
Tao H, Fraedrich K, Menz C et al (2014) Trends in extreme temperature indices in the Poyang Lake Basin, China. Stoch Env Res Risk Assess 28(6):1543–1553
Weiss MS (1978) Modification of the Kolmogorov–Smirnov statistic for use with correlated data. J Am Stat Assoc 73(364):872–875
White KJ (1992) The Durbin–Watson test for autocorrelation in nonlinear models. Rev Econ Stat 74(2):370–373
Xiao Y, Zhang X, Wan H et al (2016) Spatial and temporal characteristics of rainfall across Ganjiang River Basin in China. Meteorol Atmos Phys 128(2):167–179
Zhang Q, Singh VP, Chen X (2013) Copula-based risk evaluation of hydrological droughts in the East River basin, China. Stoch Env Res Risk Assess 27(6):1397–1406
Zhang Q, Chen YD, Chen X et al (2014a) Copula-based analysis of hydrological extremes and implications of hydrological behaviors in the Pearl river area, China. Am Soc Civil Eng 16(7):598–607
Zhang Q, Xiao M, Li J et al (2014b) Topography-based spatial patterns of precipitation extremes in the Poyang Lake area, China: changing properties and causes. J Hydrol 512(6):229–239
Zhao X, Stein A, Chen X (2010) Application of random sets to model uncertainties of natural entities extracted from remote sensing images. Stoch Env Res Risk Assess 24(5):713–723
Acknowledgements
The authors appreciate Bureau of Hydrology, Changjiang Water Resources Commission for the support of data. This research work is financially supported by The National Key Research and Development Program of China (Grant No. 2016YFC0400901) and the National Basic Research Program of China (973 Program) (Grant No. 2012CB417001) and the National Science Foundation of China (No. 51279143). Thanks for anonymous reviewers for their helpful suggestion on the quality improvement of our present paper.
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Jianping, B., Pengxin, D., Xiang, Z. et al. Flood coincidence analysis of Poyang Lake and Yangtze River: risk and influencing factors. Stoch Environ Res Risk Assess 32, 879–891 (2018). https://doi.org/10.1007/s00477-018-1514-4
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DOI: https://doi.org/10.1007/s00477-018-1514-4