Skip to main content

Advertisement

Log in

Bias correction of RCM outputs using mixture distributions under multiple extreme weather influences

  • Original Paper
  • Published:
Theoretical and Applied Climatology Aims and scope Submit manuscript

Abstract

The frequency and magnitude of water-related disasters such as floods and landslides have intensified due to climate change, especially over East Asia, including the South Korea region. In this region, extreme precipitation events originate from multiple sources, such as tropical cyclones (i.e., typhoons) and frontal synoptic systems. Climate scenarios generated by global climate models (GCMs) are employed to assess the future variations of extreme precipitation. Precipitation outputs from GCM scenarios must be localized via dynamic downscaling through regional climate models (RCMs). Bias correction is required to eliminate the biases between the RCM outputs and local observations. Quantile mapping, in which RCM output values are mapped by quantiles onto historical observed data of all precipitation except zero values by fitting a probabilistic distribution to each dataset, has been a popular technique for bias correction. In the current study, we tested several probabilistic distribution models. Additionally, we tested several mixture probabilistic distributions, combinations of traditionally employed distributions, because extreme precipitation events over South Korea can develop from multiple weather systems. We also tested traditionally employed distributions, such as exponential, gamma, and GEV distributions for precipitation values except zero values. Their performances were evaluated with various statistics, especially for extreme events, because the bias-corrected data should be used for the assessment of future variations of extreme precipitation. The results indicate that the tested mixture distributions are superior to traditional non-mixture distributions. The gamma-Gumbel mixture distribution showed the best performance in reproducing the statistical characteristics of especially extreme precipitation in a way that the majority of non-severe precipitation events are fitted to the gamma distribution, whose tail is light, and the extreme events are fitted to the Gumbel distribution. The future variations of extreme precipitation from climate scenarios such as RCP 4.5 and RCP 8.5 showed clear differences between probabilistic distribution models, indicating that the selection of an appropriate distribution is critical in the reasonable assessment of future extreme precipitation.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13

Similar content being viewed by others

References

  • Alexandrov VA, Hoogenboom G (2000) The impact of climate variability and change on crop yield in Bulgaria. Agric For Meteorol 104:315–327

    Article  Google Scholar 

  • Alia OM, Mandava R (2011) The variants of the harmony search algorithm: an overview. Artif Intell Rev 36:49–68

    Article  Google Scholar 

  • Beck A, Ahrens B, Stadlbacher K (2004) Impact of nesting strategies in dynamical downscaling of reanalysis data. Geophys Res Lett 31:5. https://doi.org/10.1029/2004GL020115

  • Carreau J, Naveau P, Sauquet E (2009) Water Resour Res 45:n/a-n/a

  • Davies T, Cullen MJP, Malcolm AJ, Mawson MH, Staniforth A, White AA, Wood N (2005) A new dynamical core for the Met Office’s global and regional modelling of the atmosphere. Q J R Meteorol Soc 131:1759–1782

    Article  Google Scholar 

  • Denis B, Laprise R, Caya D, Côté J (2002) Clim Dyn 18:627–646

    Article  Google Scholar 

  • Déqué M (2007) Frequency of precipitation and temperature extremes over France in an anthropogenic scenario: model results and statistical correction according to observed values. Glob Planet Chang 57:16–26

    Article  Google Scholar 

  • Evin G, Merleau J, Perreault L (2011) Two-component mixtures of normal, gamma, and Gumbel distributions for hydrological applications. Water Resour Res 47(8):W08525

  • Geem ZW, Kim JH, Loganathan GV (2001) A new heuristic optimization algorithm: harmony search. Simulation 76:60–68

    Article  Google Scholar 

  • Giorgi F, Mearns LO (1999) Introduction to special section: regional climate modeling revisited. J Geophys Res: Atmospheres 104:6335–6352

    Article  Google Scholar 

  • Goldberg DE (1989) Genetic algorithms in search, optimization, and machine learning. Addison-Wesley Pub. Co., Boston

    Google Scholar 

  • Gudmundsson L, Bremnes JB, Haugen JE, Engen-Skaugen T (2012) Technical Note: downscaling RCM precipitation to the station scale using statistical transformations – a comparison of methods. Hydrol Earth Syst Sci 16:3383–3390

    Article  Google Scholar 

  • Gutjahr O, Heinemann G (2013) Comparing precipitation bias correction methods for high-resolution regional climate simulations using COSMO-CLM. Theor Appl Climatol 114:511–529

    Article  Google Scholar 

  • Haddeland I, Heinke J, Voß F, Eisner S, Chen C, Hagemann S, Ludwig F (2012) Effects of climate model radiation, humidity and wind estimates on hydrological simulations. Hydrol Earth Syst Sci 16:305–318

    Article  Google Scholar 

  • Hagemann S, Chen C, Haerter JO, Heinke J, Gerten D, Piani C (2011) Impact of a statistical bias correction on the projected hydrological changes obtained from three GCMs and two hydrology models. J Hydrometeorol 12:556–578

    Article  Google Scholar 

  • Hansen JW, Challinor A, Ines A, Wheeler T, Moron V (2006) Translating climate forecasts into agricultural terms: advances and challenges. Clim Res 33:27–41

    Article  Google Scholar 

  • Hempel S, Frieler K, Warszawski L, Schewe J, Piontek F (2013) A trend-preserving bias correction – the ISI-MIP approach. Earth Syst Dynam 4:219–236

    Article  Google Scholar 

  • IPCC, Pachauri RK, Reisinger A (eds) (2007) Climate change 2007: synthesis report. Contribution of Working Group I, II and III to the Fouth Assessment Report of the Intergonernmental Pallel on Climate Change, IPCC. Geneva, Switzerland; 104

  • Jeong C, Lee T (2015) Copula-based modeling and stochastic simulation of seasonal intermittent streamflows for arid regions. J Hydro Environ Res 9:604–613

  • Katz RW, Zheng X (1999) Mixture Model For Overdispersion of Precipitation. J Clim 12:2528–2537

    Article  Google Scholar 

  • Kennedy J, Eberhart R (1995) Particle swarm optimization. Perth, Aust, 1995. IEEE

  • Kilsby CG, Cowpertwait PSP, O'Connell PE, Jones PD (1998) Predicting rainfall statistics in England and Wales using atmospheric circulation variables. Int J Climatol 18:523–539

    Article  Google Scholar 

  • Leander R, Buishand TA (2007) Resampling of regional climate model output for the simulation of extreme river flows. J Hydrol 332:487–496

    Article  Google Scholar 

  • Lee T (2016) Stochastic simulation of precipitation data for preserving key statistics in their original domain and application to climate change analysis. Theor Appl Climatol 124:91–102

  • Lee T, Jeong C (2014) Nonparametric statistical temporal downscaling of daily precipitation to hourly precipitation and implications for climate change scenarios. J Hydrol 510:182–196

    Article  Google Scholar 

  • Lee T, Ouarda TBMJ, Jeong C (2012) Nonparametric multivariate weather generator and an extreme value theory for bandwidth selection. J Hydrol 452-453:161–171

    Article  Google Scholar 

  • Lettenmaier D, Wood A, Palmer R, Wood E, Stakhiv E (1999) Clim Chang 43:537–579

    Article  Google Scholar 

  • Martin GM, Ringer MA, Pope VD, Jones A, Dearden C, Hinton TJ (2006) The physical properties of the atmosphere in the New Hadley Centre Global Environmental Model (HadGEM1). Part I: model description and global climatology. J Clim 19:1274–1301

    Article  Google Scholar 

  • Mehrotra R, Sharma A (2006) Conditional resampling of hydrologic time series using multiple predictor variables: A K-nearest neighbour approach. Adv Water Resour 29:987–999

    Article  Google Scholar 

  • Panofsky HA, Brier GW (1968) Some applications of statistics to meteorology, Earth and Mineral Sciences Continuing Education, College of Earth and Mineral Sciences

  • Park JS, Jung HS (2002) Modelling Korean extreme rainfall using a Kappa distribution and maximum likelihood estimate. Theor Appl Climatol 72:55–64

    Article  Google Scholar 

  • Piani C, Haerter JO, Coppola E (2010) Statistical bias correction for daily precipitation in regional climate models over Europe. Theor Appl Climatol 99:187–192

    Article  Google Scholar 

  • Schmidli J, Frei C, Vidale PL (2006) Downscaling from GCM precipitation: a benchmark for dynamical and statistical downscaling methods. Int J Climatol 26:679–689

    Article  Google Scholar 

  • Sharma D, Das Gupta A, Babel MS (2007) Spatial disaggregation of bias-corrected GCM precipitation for improved hydrologic simulation: Ping River Basin, Thailand. Hydrol Earth Syst Sci 11:1373–1390

    Article  Google Scholar 

  • Shin J-Y, Heo J-H, Jeong C, Lee T (2014) Meta-heuristic maximum likelihood parameter estimation of the mixture normal distribution for hydro-meteorological variables. Stoch Env Res Risk A 28:347–358

    Article  Google Scholar 

  • Shin J-Y, Lee T, Ouarda TBMJ (2015) Heterogeneous mixture distributions for modeling multisource extreme rainfalls*. J Hydrometeorol 16:2639–2657

    Article  Google Scholar 

  • Strupczewski WG, Kochanek K, Bogdanowicz E, Markiewicz I (2012) On seasonal approach to flood frequency modelling. Part I: two-component distribution revisited. Hydrol Process 26:705–716

    Article  Google Scholar 

  • Teutschbein C, Seibert J (2012) J Hydrol 456–457:12–29

    Article  Google Scholar 

  • Themeßl MJ, Gobiet A, Leuprecht A (2011) Empirical-statistical downscaling and error correction of daily precipitation from regional climate models. Int J Climatol 31:1530–1544

    Article  Google Scholar 

  • van Pelt SC, Beersma JJ, Buishand TA, van den Hurk BJJM, Kabat P (2012) Future changes in extreme precipitation in the Rhine basin based on global and regional climate model simulations. Hydrol Earth Syst Sci 16:4517–4530

    Article  Google Scholar 

  • Widmann M, Bretherton CS, Salathé EP (2003) Statistical precipitation downscaling over the Northwestern United States using numerically simulated precipitation as a predictor*. J Clim 16:799–816

    Article  Google Scholar 

  • Wood AW, Leung LR, Sridhar V, Lettenmaier DP (2004) Hydrologic implications of dynamical and statistical approaches to downscaling climate model outputs. Clim Chang 62:189–216

    Article  Google Scholar 

  • Yoo C, Jung K-S, Kim T-W (2005) Rainfall frequency analysis using a mixed gamma distribution: evaluation of the global warming effect on daily rainfall. Hydrol Process 19:3851–3861

    Article  Google Scholar 

  • Yoon P-Y, Kim T-W, Yang J-S, Lee S-O (2012) Estimating quantiles of extreme rainfall using a mixed Gumbel distribution model. J Korea Water Resour Assoc 45:263–274

    Article  Google Scholar 

  • Yoon S, Jeong C, Lee T (2013) Application of harmony search to design storm estimation from probability distribution models. J Appl Math. https://doi.org/10.1155/2013/932943

Download references

Funding

This research was supported by a grant [MOIS-DP-2015-03] through the Disaster and Safety Management Institute funded by Ministry of the Interior and Safety of Korean government. The authors also acknowledge that this work was partially supported by the National Research Foundation of Korea (NRF), Grant (2018R1A2B600179), funded by the Korean Government.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Taesam Lee.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Shin, JY., Lee, T., Park, T. et al. Bias correction of RCM outputs using mixture distributions under multiple extreme weather influences. Theor Appl Climatol 137, 201–216 (2019). https://doi.org/10.1007/s00704-018-2585-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00704-018-2585-3

Keywords

Navigation