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Evaluating Future Joint Probability of Precipitation Extremes with a Copula-Based Assessing Approach in Climate Change

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Abstract

Changes in climate extremes may cause the variation of occurrence and intensity of floods and droughts. To investigate the future changes in joint probability behaviors of precipitation extremes for water resources management, an approach including three stages for analyzing the spatial variation of joint return periods of precipitation extremes is proposed in this paper. In the first stage, a weather generator model (WGM) was conducted with general circulation models (GCMs) under representative concentration pathway (RCP) scenarios to generate daily rainfall time series during 2021–2040 (S) and 2081–2100 (L) based on the statistics of the observed rainfall data. Four extreme precipitation indices are defined to represent extreme precipitation events. In the second stage, copula methods are adopted to establish the joint distribution of the precipitation extreme indices. The watershed-scale assessment of flood and drought applied in Shih-Men reservoir in northern Taiwan is conducted to demonstrate the possible change of joint return period. In the third stage, the change rates of joint return periods for bivariate extreme indices are demonstrated to present the occurrence possibility of floods or droughts in the future. The results indicate that floods and droughts might occur more frequently in the upstream region of the reservoir during the twenty-first century. The reservoir operations would be more important for water supply and flood mitigation. In conclusion, the possible changes of future joint probability of the precipitation extremes should be paid attention to for water resources management and draft plans to confront potential challenges in the future.

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References

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

    Article  Google Scholar 

  • Bacchi B, Becciu G, Kottegoda NT (1994) Bivariate exponential model applied to intensities and durations of extreme rainfall. J Hydrol 155:225–236

    Article  Google Scholar 

  • Bargaoui ZK, Bardossy A (2015) Modeling short duration extreme precipitation patterns using copula and generalized maximum pseudo-likelihood estimation with censoring. Adv Water Resour 84:1–13

    Article  Google Scholar 

  • Boelee E, Yohannes M, Poda JN, McCartney M, Cecchi P, Kibret S, Hagos F, Laamrani H (2013) Options for water storage and rainwater harvesting to improve health and resilience against climate change in Africa. Reg Environ Chang 13(3):509–519

    Article  Google Scholar 

  • Chang LC, Chang FJ (2001) Intelligent control for modelling of real-time reservoir operation. Hydrol Process 15(9):1621–1634

    Article  Google Scholar 

  • Duan K, Mei Y, Zhang L (2016) Copula-based bivariate flood frequency analysis in a changing climate-a case study in the Huai River basin, China. J Earth Sci 27(1):37–46

    Article  Google Scholar 

  • Easterling RD, Meehl AG, Parmesan C, Changnon AS, Karl RT, Mearns OL (2000) Climate extremes: observations, modeling, and impacts. Science 289:2068–2074

    Article  Google Scholar 

  • Fan YR, Huang WW, Huang GH, Huang K, Li YP, Kong XM (2016) Bivariate hydrologic risk analysis based on a coupled entropy-copula method for the Xiangxi River in the three gorges reservoir area, China. Theor Appl Climatol 125(1–2):381–397

    Article  Google Scholar 

  • Gohari A, Bozorgi A, Madani K, Elledge J, Berndtsson R (2014) Adaptation of surface water supply to climate change in Central Iran. Journal of Water and Climate Change 5(3):391–407

    Article  Google Scholar 

  • Guo A, Chang J, Wang Y, Huang Q, Guo Z (2017) Maximum entropy-copula method for hydrological risk analysis under uncertainty: a case study on the loess plateau. China Entropy 19(11):609

    Article  Google Scholar 

  • Immerzeel WW, van Beek LPH, Bierkens MFP (2010) Climate change will affect the Asian water towers. Science 328:1382–1385

    Article  Google Scholar 

  • Jeong DI, Sushama L, Khaliq MN, Roy R (2014) A copula-based multivariate analysis of Canadian RCM projected changes to flood characteristics for northeastern Canada. Clim Dyn 42(7–8):2045–2066

    Article  Google Scholar 

  • Jhong BC, Wang JH, Lin GF (2017) An integrated two-stage support vector machine approach to forecast inundation maps during typhoons. J Hydrol 547:236–252

    Article  Google Scholar 

  • Kao SC, Govindaraju RS (2007) A bivariate frequency analysis of extreme rainfall with implications for design. J Geophys Res-Atmos 112(D13):D13119

    Article  Google Scholar 

  • Kao SC, Govindaraju RS (2010) A copula-based joint deficit index for droughts. J Hydrol 380:121–134

    Article  Google Scholar 

  • Kusangaya S, Warburton ML, van Garderen EA, Jewitt GPW (2014) Impacts of climate change on water resources in southern Africa: a review. Phys Chem Earth 67–69:47–54

    Article  Google Scholar 

  • Laux P, Vogl S, Qiu W, Knoche HR, Kunstmann H (2011) Copula-based statistical refinement of precipitation in RCM simulations over complex terrain. Hydrol Earth Syst Sci 15(7):2401–2419

    Article  Google Scholar 

  • Lee CH, Kim TW, Chung GH, Choi MH, Yoo CS (2010) Application of bivariate frequency analysis to the derivation of rainfall-frequency curves. Stoch Env Res Risk A 24(3):389–397

    Article  Google Scholar 

  • Li JF, Zhang Q, Chen YD, Xu CY, Singh VP (2013) Changing spatiotemporal patterns of precipitation extremes in China during 2071-2100 based on earth system models. J Geophys Res-Atmos 118(22):12537–12555

    Article  Google Scholar 

  • Li JF, Zhang Q, Chen YD, Singh VP (2015) Future joint probability behaviors of precipitation extremes across China: spatiotemporal patterns and implications for flood and drought hazards. Glob Planet Chang 124:107–122

    Article  Google Scholar 

  • Lin GF, Jhong BC (2015) A real-time forecasting model for the spatial distribution of typhoon rainfall. J Hydrol 521:302–313

    Article  Google Scholar 

  • Lin CY, Tung CP (2017) Procedure for selecting GCM datasets for climate risk assessment. Terrestrial Atmospheric and Oceanic Sciences 28(1):43–55

    Article  Google Scholar 

  • Liu TM, Tung CP, Ke KY, Chuang LH, Lin CY (2009) Application and development of a decision-support system for assessing water shortage and allocation with climate change. Paddy Water Environ 7:301–311

    Article  Google Scholar 

  • Madadgar S, Moradkhani H (2011) Drought analysis under climate change using copula. J Hydrol Eng 18(7):746–759

    Article  Google Scholar 

  • Mazouz R, Assani AA, Quessy JF, Legare G (2012) Comparison of the interannual variability of spring heavy floods characteristics of tributaries of the St. Lawrence River in Quebec (Canada). Adv Water Resour 35:110–120

    Article  Google Scholar 

  • Mendes BVM, Souza RM (2004) Measuring financial risks with copulas. Int Rev Financ Anal 13(1):27–45

    Article  Google Scholar 

  • Mirza MMQ (2002) Global warming and changes in the probability of occurrence of floods in Bangladesh and implications. Glob Environ Chang 12:127–238

    Article  Google Scholar 

  • Nandintsetseg B, Greene JS, Goulden CE (2007) Trends in extreme daily precipitation and temperature near Lake Hovsgol, Mongolia. Int J Climatol 27(3):341–347

    Article  Google Scholar 

  • Nelsen RB (2006) Introduction to copulas. Springer-Verlag, New York

    Google Scholar 

  • Richardson CW, Wright DA (1984) WGEN: A model for generating daily weather variables. United States Department of Agriculture, Agricultural Research Service, Washington, DC, USA

  • Salvadori, G., De Michele, C., 2004. Frequency analysis via copulas: theoretical aspects and applications to hydrological events. Water Resour Res 40 (12), W12511

  • Shiau JT, Feng S, Nadaraiah S (2007) Assessment of hydrological droughts for the Yellow River, China, using copulas. Hydrol Process 21:2157–2163

    Article  Google Scholar 

  • Sillmann J, Roeckner E (2008) Indices for extreme events in projections of anthropogenic climate change. Clim Chang 86(1–2):83–104

    Article  Google Scholar 

  • Taylor KE, Stouffer RJ, Meehl GA (2012) An overview of CMIP5 and the experiment design. Bull Am Meteorol Soc 93(4):485–498

    Article  Google Scholar 

  • Tong X, Wang D, Singh VP, Wu JC, Chen X, Chen YF (2015) Impact of data length on the uncertainty of hydrological copula modeling. J Hydrol Eng 20(4):05014019

    Article  Google Scholar 

  • Tung CP, Liu TM, Chen SW, Ke KY, Li MH (2014) Carrying capacity and sustainability appraisals on regional water supply systems under climate change. British Journal of Environment and Climate Change 4:27–44

    Article  Google Scholar 

  • van Vuuren DP, Stehfest E, den Elzen MGJ, Kram T, van Vliet J, Deetman S, Isaac M, Goldewijk SK, Holf A, Beltran AM, Oostenrijk R, van Ruijven B (2011) RCP2.6: exploring the possibility to keep global mean temperature increase below 2 °C. Clim Chang 109:95–116

    Article  Google Scholar 

  • Yoo J, Kim U, Kim TW (2013) Bivariate drought frequency curves and confidence intervals: a case study using monthly rainfall generation. Stoch Env Res Risk A 27(1):285–295

    Article  Google Scholar 

  • Yue S (2000) Joint probability distribution of annual maximum storm peaks and amounts as represented by daily rainfalls. Hydrological Sciences Journal-Journal Des Sciences Hydrologiques 45(2):315–326

    Article  Google Scholar 

  • Yue S (2001) A bivariate gamma distribution for use in multivariate flood frequency analysis. Hydrol Process 15(6):1033–1045

    Article  Google Scholar 

  • Yue S, Rasmussen P (2002) Bivariate frequency analysis: discussion of some useful concepts in hydrological application. Hydrol Process 16(14):2881–2898

    Article  Google Scholar 

  • Zhang L, Singh VP (2007) Bivariate rainfall frequency distributions using Archimedean copulas. J Hydrol 332(1–2):93–109

    Article  Google Scholar 

  • Zhang Q, Singh VP, Li JF, Jiang FQ, Bai YG (2012) Spatio-temporal variations of precipitation extremes in Xinjiang, China. J Hydrol 434:7–18

    Article  Google Scholar 

  • Zhang Q, Li JF, Singh VP, Xu CY (2013) Copula-based spatio-temporal patterns of precipitation extremes in China. Int J Climatol 33(5):1140–1152

    Article  Google Scholar 

  • Zhao P, Lü H, Fu G, Zhu Y, Su J, Wang J (2017) Uncertainty of hydrological drought characteristics with copula functions and probability distributions: a case study of Weihe River, China. Water 9(5):334

    Article  Google Scholar 

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Acknowledgements

The authors are grateful to the Taiwan Climate Change Projection and Information Platform Project (TCCIP) funded by Ministry of Science and Technology (MOST) for providing the projections of general circulation models based on climate scenarios and revised by the method of bias correction and spatial disaggregation.

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Correspondence to Bing-Chen Jhong.

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Jhong, BC., Tung, CP. Evaluating Future Joint Probability of Precipitation Extremes with a Copula-Based Assessing Approach in Climate Change. Water Resour Manage 32, 4253–4274 (2018). https://doi.org/10.1007/s11269-018-2045-y

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  • DOI: https://doi.org/10.1007/s11269-018-2045-y

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