Abstract
Precipitation and runoff are key elements in the hydrologic cycle because of their important roles in water supply, flood prevention, river restoration, and ecosystem management. Global climate change, widely accepted to be happening, is anticipated to have enormous consequences on future hydrologic patterns. Studies on the potential changes in global, regional, and local hydrologic patterns under global climate change scenarios have been an intense area of research in recent years. The present study contributes to this research topic through evaluation of design flood under climate change. The study utilizes a weather state-based, stochastic multivariate model as a conditional probability model for simulating the precipitation field. An important premise of this study is that large-scale climatic patterns serve as a major driver of persistent year-to-year changes in precipitation probabilities. Since uncertainty estimation in the study of climate change is needed to examine the reliability of the outcomes, this study also applies a Bayesian Markov chain Monte Carlo scheme to the widely used SAC-SMA (Sacramento soil moisture accounting) precipitation-runoff model. A case study is also performed with the Soyang Dam watershed in South Korea as the study basin. Finally, a comprehensive discussion on design flood under climate change is made.
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Block PJ, Souza Filho FA, Sun L, Kwon HH (2010) A streamflow forecasting framework using multiple climate and hydrological models. J Am Water Resour Assoc 45(4):828–843
Burnash RJC (1995) The NWS river forecast system—catchment modeling. In: Singh VP (ed) Computer models of watershed hydrology. Water Resource Publications, Highlands Ranch
Burnash RJC, Ferral RL, McGuire RA (1973) A general streamflow simulation system—conceptual modeling for digital computers. The Joint Federal State River Forecasts Center, Sacramento
Cameron D, Beven KJ, Tawn J, Naden P (2000) Flood frequency estimation by continuous simulation (with likelihood based uncertainty estimation). Hydrol Earth Syst Sci 4(1):23–34
Chow CK, Liu CN (1968) Approximating discrete probability distributions with dependence trees. IEEE Trans Inf Theory 14(3):462–467
Duan QY, Sorooshian S, Gupta V (1992) Effective and efficient global optimization for conceptual rainfall-runoff models. Water Resour Res 28(4):1015–1031
Easterling DR et al (2000) Climate extremes: observations, modeling, and impacts. Science 289(5487):2068–2074
Feyen L, Vrugt JA, Nuallain BO, van der Knijff J, De Roo A (2007) Parameter optimisation and uncertainty assessment for large-scale streamflow simulation with the LISFLOOD model. J Hydrol 332(3–4):276–289
Filho FAS, Lall U (2003) Seasonal to interannual ensemble streamflow forecasts for Ceara, Brazil: applications of a multivariate, semiparametric algorithm. Water Resour Res 39(11):SWC 1–1–SWC 1–13
Franks SW, Kuczera G (2002) Flood frequency analysis: evidence and implications of secular climate variability, New South Wales. Water Resour Res 38(5). doi:10.1029/2001WR000232
Gao X, Pal JS, Giorgi F (2006) Projected changes in mean and extreme precipitation over the Mediterranean region from a high resolution double nested RCM simulation. Geophys Res Lett 33(3):1–4
Gelman A, Rubin D (1992) Inference from iterative simulation using multiple sequences. Stat Sci 7(4):457–472
Gelman A, Carlin J, Stern H, Rubin D (2003) Bayesian data analysis. Chapman and Hall/CRC, Boca Raton
Hastings WK (1970) Monte-Carlo sampling methods using Markov chains and their applications. Biometrika 57(1):97–109
Hughes JP, Guttorp P (1994) A class of stochastic models for relating synoptic atmospheric patterns to regional hydrologic phenomena. Water Resour Res 30(5):1535–1546
Hughes JP, Guttorp P, Charles SP (1999) A non-homogeneous hidden Markov model for precipitation occurrence. J R Stat Soc C 48:15–30
IPCC (2007) Climate change 2007 synthesis report. Geneva, Switzerland
Jain S, Lall U (2000) Magnitude and timing of annual maximum floods: trends and large-scale climatic associations for the Blacksmith Fork River, Utah. Water Resour Res 36(12):3641–3651
Jain S, Lall U (2001) Floods in a changing climate: does the past represent the future? Water Resour Res 37(12):3193–3205
Kavetski D, Kuczera G, Franks SW (2006) Bayesian analysis of input uncertainty in hydrological modeling: 1. Theory. Water Resour Res 42:W03407. doi:10.1029/2005WR004368
Khalil AF, Kwon HH, Lall U, Khaeil YH (2009) Predictive downscaling based on nonhomogeneous hidden Markov models. Hydrol Sci J 54(5):333–350
Kullback S, Leibler RA (1951) On information and sufficiency. Ann Math Stat 22(1):79–86
Kwon HH, Moon YI, Khalil AF (2007) Nonparametric Monte Carlo simulation for flood frequency curve derivation: an application to a Korean watershed. J Am Water Resour Assoc 43(5):1316–1328
Kwon HH, Brown C, Lall U (2008a) Climate informed flood frequency analysis and prediction in Montana using hierarchical Bayesian modeling. Geophys Res Lett 35(5):1–6
Kwon HH, Khalil AF, Siegfried T (2008b) Analysis of extreme summer rainfall using climate teleconnections and typhoon characteristics in South Korea. J Am Water Resour Assoc 44(2):436–448
Kwon HH, Lall U, Obeysekera J (2009) Simulation of daily rainfall scenarios with interannual and multidecadal climate cycles for South Florida. Stoch Environ Res Risk Assess 23(7):879–896
Legates DR, McCabe GJ (1999) Evaluating the use of “goodness-of-fit” measures in hydrologic and hydroclimatic model validation. Water Resour Res 35(1):233–241
Loukas A (2002) Flood frequency estimation by a derived distribution procedure. J Hydrol 255(1–4):69–89
Mehrotra R, Sharma A (2006) A nonparametric stochastic downscaling framework for daily rainfall at multiple locations. J Geophys Res 111:D15101. doi:10.1029/2005JD00637
Metropolis N, Rosenbluth AW, Rosenbluth MN, Teller AH, Teller E (1953) Equation of state calculations by fast computing machines. J Chem Phys 21(6):1087–1092
Milly PCD, Wetherald RT, Dunne KA, Delworth TL (2002) Increasing risk of great floods in a changing climate. Nature 415(6871):514–517
Nash JE, Sutcliffe JV (1970) River flow forecasting through conceptual models part I—a discussion of principles. J Hydrol 10(3):282–290
Pizaro G, Lall U (2002) El Nino and floods in the US west: what can we expect? Eos Trans AGU 83(32):349–352
Rabiner LR (1989) A tutorial on hidden Markov models and selected applications in speech recognition. Proc IEEE 77(2):257–286
Rahman A, Weinmann PE, Hoang TMT, Laurenson EM (2002) Monte Carlo simulation of flood frequency curves from rainfall. J Hydrol 256(3–4):196–210
Robertson AW, Kirshner S, Smyth PJ (2003) Hidden Markov models for modeling daily rainfall occurrence over Brazil. Technical Report ICS-TR 03-27, Information and Computer Science, University of California, Irvine
Robertson AW, Kirshner S, Smyth PJ (2004) Downscaling of daily rainfall occurrence over Northeast Brazil using a hidden Markov model. J Clim 17(22):4407–4424
Sankarasubramanian A, Lall U (2003) Flood quantiles in a changing climate: seasonal forecasts and causal relations. Water Resour Res 39(5):1134. doi:10.1029/2002WR001593
Viterbi AJ (1967) Error bounds for convolutional codes and an asymptotically optimum decoding algorithm. IEEE Trans Inf Theory 13(2):260–269
Vrugt JA, Dekker SC, Bouten W (2003a) Identification of rainfall interception model parameters from measurements of throughfall and forest canopy storage. Water Resour Res 39(9):1251. doi:10.1029/2003WR002013
Vrugt JA, Gupta HV, Bouten W, Sorooshian S (2003b) A shuffled complex evolution metropolis algorithm for optimization and uncertainty assessment of hydrologic model parameters. Water Resour Res 39(8):1201. doi:10.1029/2002WR001642
Vrugt JA et al (2006a) Application of stochastic parameter optimization to the Sacramento soil moisture accounting model. J Hydrol 325(1–4):288–307
Vrugt JA, Gupta HV, Nuallain BO (2006b) Real-time data assimilation for operational ensemble streamflow forecasting. J Hydrometeorol 7(3):548–565
Wilcox BP, Rawls WJ, Brakensiek DL, Wight JR (1990) Predicting runoff from rangeland catchments—a comparison of 2 models. Water Resour Res 26(10):2401–2410
Willmott CJ et al (1985) Statistics for the evaluation and comparison of models. J Geophys Res Oceans 90(Nc5):8995–9005
Acknowledgment
This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2010-0002370).
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Kwon, HH., Sivakumar, B., Moon, YI. et al. Assessment of change in design flood frequency under climate change using a multivariate downscaling model and a precipitation-runoff model. Stoch Environ Res Risk Assess 25, 567–581 (2011). https://doi.org/10.1007/s00477-010-0422-z
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DOI: https://doi.org/10.1007/s00477-010-0422-z