Skip to main content

Advertisement

Log in

A Hybrid Statistical Downscaling Method Based on the Classification of Rainfall Patterns

  • Published:
Water Resources Management Aims and scope Submit manuscript

Abstract

A hybrid statistical downscaling method based on the classification of rainfall patterns is presented which is capable of overcoming the poor representation of extreme events. The large-scale datasets, which are obtained from the National Centers for Environmental Prediction/National Center for Atmospheric Research (NCEP/NCAR) reanalysis data and the global circulation models (GCMs) outputs, and the local daily rainfall data are analyzed to assess the impacts of climate change on rainfall. The proposed method is composed of two steps. The first step is the classification of daily rainfall patterns. The detrended fluctuation analysis (DFA) is introduced to define the extreme rainfall. Two classification models, extreme rainfall and wet rainfall, are developed to describe the relationship between large-scale weather factors and rainfall patterns using support vector machine (SVM). These two models are able to identify the three rainfall patterns (the extreme, the normal and the dry rainfall) of the daily weather factors. The second step is the estimation of daily rainfall. The improved self-organizing linear output map (ISOLO) is adopted to estimate the rainfall for the aforementioned three different rainfall patterns. The future rainfall changes are calculated for the periods 2046–2065 and 2081–2100 under the A2 and B1 scenarios. An application to Taiwan has shown that the proposed method provides reliable and accurate rainfall-pattern classification. In addition, the improvement of the estimation of daily rainfall is significant, especially for the extreme rainfall. In conclusion, the proposed method is effective to overcome the poor representation of extreme events and the impacts of climate change on rainfall are analyzed.

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

Similar content being viewed by others

References

  • Alvarez-Ramirez J, Alvarez J, Rodriguez E (2008) Short-term predictability of crude oil markets: a detrended fluctuation analysis approach. Energy Econ 30:2645–2656

    Article  Google Scholar 

  • Bate A, Lindquist M, Edwards IR, Olsson S, Orre R, Lansner A, De Freitas RM (1998) A Bayesian neural network method for adverse drug reaction signal generation. Eur J Clin Pharmacol 54:315–321

    Article  Google Scholar 

  • Briining H, Trenkler G (1978) Nichtparametrische statistische Methoden. Walter de Gruyter, Berlin

    Google Scholar 

  • Burger G, Murdock TQ, Werner AT, Sobie SR, Cannon AJ (2012) Downscaling extremes-an intercomparison of multiple statistical methods for present climate. J Clim 25:4366–4388

    Article  Google Scholar 

  • Caron LP, Jones CG (2008) Analysing present, past and future tropical cyclone activity as inferred from an ensemble of coupled global climate models. Tellus 60(1):80–96

    Article  Google Scholar 

  • Chang CC (2009) Improved self-organizing linear output map for reservoir inflow forecasting. Unpublished master’s thesis, National Taiwan University, Taiwan

  • Chau KW, Wu CL (2010) A hybrid model coupled with singular Spectrum analysis for daily rainfall prediction. J Hydroinf 12(4):458–473

    Article  Google Scholar 

  • Chen XY, Chau KW, Busari AO (2015) A comparative study of population-based optimization algorithms for downstream river flow forecasting by a hybrid neural network model. Eng Appl Artif Intell 46(A):258–268

    Article  Google Scholar 

  • Cover T, Hart P (1967) Nearest neighbor pattern classification. In IEEE Transactions in Information Theory, IT-13:21–27

  • Cristianini N, Shaw-Taylor J (2000) An introduction to support vector machines and other kernel-based learning methods. Cambridge University Press, New York

    Book  Google Scholar 

  • Devak M, Dhanya CT, Gosain AK (2015) Gosain dynamic coupling of support vector machine and K-nearest neighbor for downscaling daily rainfall. J Hydrol 525:286–301

    Article  Google Scholar 

  • Fisher RA (1936) The use of multiple measurements in taxonomic problems. Ann Eugenics 7:179–188

    Article  Google Scholar 

  • Gholami V, Chau KW, Fadaee F, Torkaman J, Ghaffari A (2015) Data-driven input variable selection for rainfall-runoff modeling using binary-coded particle swarm optimization and extreme learning machines. J Hydrol 529(3):1617–1632

    Google Scholar 

  • Ghosh S, Katkar S (2012) Modeling uncertainty resulting from multiple downscaling methods in assessing hydrological impacts of climate change. Water Resour Manag 26:3559–3579

    Article  Google Scholar 

  • Gibbons JD (1992) Nonparametric statistical inference, 3rd edn. Dekker, New York

    Google Scholar 

  • Gong ZQ, Feng GL, Wan SQ (2006) Analysis of features of climate change of Huabei area and the global climate change based on heuristic segmentation algorithm. Acta Phys Sin 55(1):477–484

    Google Scholar 

  • Grau-Carles P (2006) Bootstrap testing for detrended fluctuation analysis. Phys A 360:89–98

    Article  Google Scholar 

  • Gutmann ED, Rasmussen RM, Liu C, Ikeda K, Gochis DJ, Clark MP, Dudhia J, Thompson G (2012) A comparison of statistical and dynamical downscaling of winter precipitation over complex terrain. J Clim 25:262–281

    Article  Google Scholar 

  • Hou W, Zhang DQ, Zhou Y, Yang P (2011) Stochastially re-sorting detrended fluctuation analysis: a new method to define the threshold of extreme event. Acta Phys Sin 60(10):109202

    Google Scholar 

  • Hsu K-L, Gupta HV, Gao X, Sorooshian S, Ima B (2002) Self organizing linear output map (SOLO): an artificial neural network suitable for hydrologic modeling and analysis. Water Resour Res 38(12):1302

    Article  Google Scholar 

  • Hu K, Ivanov PC, Chen Z, Carpena P, Stanley HE (2001) Effect of trends on detrended fluctuation analysis. Phys Rev E64:011114

    Google Scholar 

  • King LM, Irwin S, Sarwar R, McLeod AI, Simonovic SP (2012) The effects of climate change on extreme precipitation events in the upper Thames River basin: a comparison of downscaling approaches. Can Water Resour J 37:253–274

    Article  Google Scholar 

  • Kozubowski TJ, Panorska AK, Qeadan F (2009) Testing exponentially versus Pareto distribution via likelihood ratio. Commun Stat Simul Comput 38(1):118–139

    Article  Google Scholar 

  • Kunstmann H, Schneider K, Forkel R, Knoche R (2004) Impact analysis of climate change for an alpine catchment using high resolution dynamic downscaling of ECHAM4 time slices. Hydrol Earth SystSci 8(6):1031–1045

    Article  Google Scholar 

  • 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 

  • 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 B, Wesseh PK Jr (2013) What causes price volatility and regime shifts in the natural gas market. Energy 55:553–563

    Article  Google Scholar 

  • Lin GF, Chen GR, Wu MC, Chou YC (2009) Effective forecasting of hourly typhoon rainfall using support vector machines, Water Resour Res, Vol. 45, Article Number W08440

  • Liu B, Chen J, Chen X, Lian Y, Wud L (2013) Uncertainty in determining extreme precipitation thresholds. J Hydrol 503:233–245

    Article  Google Scholar 

  • Lu Y, Qin XS (2014) A coupled K-nearest neighbour and Bayesian neural network model for daily rainfall downscaling. Int J Climatol 34:3221–3236

    Article  Google Scholar 

  • Ludwig O, Nunes U (2010) Novel maximum-margin training algorithms for supervised neural networks. IEEE Trans Neural Netw 21(6):972–984

    Article  Google Scholar 

  • MacQueen J (1967) Some methods for classification and analysis of multivariate observations. Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability. University of California Press, Berkeley, pp. 281–297

  • McCuen RH (2002) Modeling hydrologic change: statistical methods. Lewis publishers, CRC Press

    Book  Google Scholar 

  • Mearns LO, Giorgi F, Whetton P, Pabon D, Hulme M, Lal M (2003) Guidelines for use of climate scenarios developed from regional climate model experiments. Available for download at the IPCC Data Distribution Centre, http://www.ipcc-data.org/guidelines/

  • Nourani V, Khanghah TR, Baghanam AH (2015) Application of entropy concept for input selection of wavelet-ANN based rainfall-runoff modeling. J Environ Informatics 26(1):52–70

    Google Scholar 

  • Olsson J, Uvo CB, Jinno K (2001) Statistical atmospheric downscaling of short-term extreme rainfall by neural networks. Phys Chem Earth Part B: HydrolOceans Atmos 26:695–700

    Article  Google Scholar 

  • Palutikof JP, Goodess CM, Watkins SJ, Holt T (2002) Generating rainfall and temperature scenarios at multiple sites: examples from the Mediterranean. J Clim 15(24):3529–3548

    Article  Google Scholar 

  • Peng CK, Buldyrev SV, Simons M, Stanley HE, Goldberger AL (1994) Mosaic organization of DNA nucleotides. Phys Rev E 49:1685–1689

    Article  Google Scholar 

  • Rashid M, Beecha S, Chowdhury R (2013) Simulation of extreme rainfall from CMIP5 in the Onkaparinga catchment using a generalized linear model. In: Piantadosi J, Anderssen RS, Boland J (Eds), MODSIM2013, 20th International Congress on Modelling and Simulation Modelling and Simulation Society of Australia and New Zealand, pp 2520–2526

  • Sushama L, Ben Said S, Khaliq MN, Nagesh Kumar D, Laprise R (2014) Dry spell characteristics over India based on IMD and APHRODITE datasets. Clim Dyn. doi:10.1007/s00382-014-2113-9

    Google Scholar 

  • Taormina R, Chou KW (2015) Data-driven input variable selection for rainfall-runoff modeling using binary-coded particle swarm optimization and Extreme Learning Machines. J Hydrol 529(3):1617–1632

    Article  Google Scholar 

  • Teng J, Chiew FHS, Timbal B, Wang Y, Vaze J, Wang B (2012) Assessment of an analogue downscaling method for modelling climate change impacts on runoff. J Hydrol 472-473:111–125

    Article  Google Scholar 

  • Tseng HW, Yang TC, Kuo CM, Yu PS (2012) Application of multi-site weather generators for investigating wet and dry spell lengths under climate change: a case study in southern Taiwan. Water Resour Manag 26:4311–4326

    Article  Google Scholar 

  • Vapnik VN (1995) The nature of statistical learning theory. Springer, New York

    Book  Google Scholar 

  • Vapnik VN (1998) Statistical learning theory. John Wiley, New York

    Google Scholar 

  • Wang WC, Chau KW, Xu DM, Chen XY (2015) Improving forecasting accuracy of annual runoff time series using ARIMA based on EEMD decomposition. Water Resour Manag 29(8):2655–2675

    Article  Google Scholar 

  • Willmott CJ, Rowe CM, Philpot WD (1985) Small-scale climate map: a sensitivity analysis of some common assumptions associated with the grid-point interpolation and contouring. Am Cartographer 12:5–16

    Article  Google Scholar 

  • Wu CL, Chau KW, Li YS (2009) Methods to improve neural network performance in daily flows prediction. J Hydrol 372(1–4):80–93

    Article  Google Scholar 

  • Yang TC, Yu PS, Wei CM, Chen ST (2011) Projection of climate change for daily precipitation: a case study in Shih-men reservoir catchment in Taiwan. Hydrol Process 25:1342–1354

    Article  Google Scholar 

  • Yoon J-H, Ruby Leung L, Correia J (2012) Comparison of dynamically and statistically downscaled seasonal climate forecasts for the cold season over the United States. J Geophys Res 117:D21109

    Google Scholar 

  • Yu PS, Yang TC, Wu CK (2002) Impact of climate change on water resources in southern Taiwan. J Hydrol 260(1–4):161–175

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Gwo-Fong Lin.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Lin, GF., Chang, MJ. & Wu, JT. A Hybrid Statistical Downscaling Method Based on the Classification of Rainfall Patterns. Water Resour Manage 31, 377–401 (2017). https://doi.org/10.1007/s11269-016-1532-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11269-016-1532-2

Keywords

Navigation