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Dynamic characteristics of monthly rainfall in the Korean Peninsula under climate change

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Abstract

Global climate change is one of the most serious issues we are facing today. While its exact impacts on our water resources are hard to predict, there is a general consensus among scientists that it will result in more frequent and more severe hydrologic extremes (e.g. floods, droughts). Since rainfall is the primary input for hydrologic and water resource studies, assessment of the effects of climate change on rainfall is essential for devising proper short-term emergency measures as well as long-term management strategies. This is particularly the case for a region like the Korean Peninsula, which is susceptible to both floods (because of its mountainous terrain and frequent intense rainfalls during the short rainy season) and droughts (because of its smaller area, long non-rainy season, and lack of storage facilities). In view of this, an attempt is made in the present study to investigate the potential impacts of climate change on rainfall in the Korean Peninsula. More specifically, the dynamics of ‘present rainfall’ and ‘future rainfall’ at the Seoul meteorological station in the Han River basin are examined and compared; monthly scale is considered in both cases. As for ‘present rainfall,’ two different data sets are used: (1) observed rainfall for the period 1971–1999; and (2) rainfall for the period 1951–1999 obtained through downscaling of coarse-scale climate outputs produced by the Bjerknes Center for Climate Research-Bergen Climate Model Version 2 (BCCR-BCM2.0) climate model with the Intergovernmental Panel on Climate Change Special Report on Emission Scenarios (IPCC SRES) 20th Century Climate in Coupled Models (20C3M) scenario. The ‘future rainfall’ (2000–2099) is obtained through downscaling of climate outputs projected by the BCCR-BCM2.0 with the A2 emission scenario. For downscaling of coarse-scale climate outputs to basin-scale rainfall, a K-nearest neighbor (K-NN) technique is used. Examination of the nature of rainfall dynamics is made through application of four methods: autocorrelation function, phase space reconstruction, correlation dimension, and close returns plot. The results are somewhat mixed, depending upon the method, as to whether the rainfall dynamics are chaotic or stochastic; however, the dynamics of the future rainfall seem more on the chaotic side than on the stochastic side, and more so when compared to that of the present rainfall.

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References

  • Abarbanel HDI, Lall U (1996) Nonlinear dynamics of the Great Salt Lake: system identification and prediction. Clim Dyn 12:287–297

    Article  Google Scholar 

  • Arnell NW, Hudson DA, Jones RG (2003) Climate change scenarios from a regional climate model: estimating change in runoff in southern Africa. J Geophys Res 108(D 16):4519–4528

    Article  Google Scholar 

  • Casdagli M (1992) Chaos and deterministic versus stochastic nonlinear modeling. J R Stat Soc B 54(2):303–328

    Google Scholar 

  • Chiew FHS, McMahon TA (2002) Modeling the impacts of climate change on Australian streamflow. Hydrol Process 16:1235–1245

    Article  Google Scholar 

  • Christensen N, Lettenmaier DP (2007) A multimodel ensemble approach to assessment of climate change impacts on the hydrology and water resources of the Colorado River basin. Hydrol Earth Syst Sci 11:1417–1434

    Article  Google Scholar 

  • Durman CF, Gregory JM, Hassell DC, Jones RG, Murphy JM (2001) A comparison of extreme European daily precipitation simulated by a global and a regional climate model for present and future climates. Q J R Meteorol Soc 127(573):1005–1015

    Article  Google Scholar 

  • Elsner JB, Tsonis AA (1993) Nonlinear dynamics established in the ENSO. Geophys Res Lett 20:213–216

    Article  Google Scholar 

  • Farmer DJ, Sidorowich JJ (1987) Predicting chaotic time series. Phys Rev Lett 59:845–848

    Article  Google Scholar 

  • Fowler HJ, Blenkinsop S, Tebaldi C (2007) Linking climate change modeling to impacts studies: recent advances in downscaling techniques for hydrological modeling. Int J Climatol 27(12):1547–1578

    Article  Google Scholar 

  • Frei C, Schöll R, Fukutome S, Schmidli J, Vidale PL (2006) Future change of precipitation extremes in Europe: an intercomparison of scenarios from regional climate models. J Geophys Res Atmos 111:D06105. doi:10.1029/2005JD005965

    Article  Google Scholar 

  • Gilmore CG (1993) A new test for chaos. J Econ Behav Organ 22:209–237

    Article  Google Scholar 

  • Grassberger P, Procaccia I (1983) Measuring the strangeness of strange attractors. Physica D 9:189–208

    Article  Google Scholar 

  • Hewitson BC, Crane RG (1996) Climate downscaling: techniques and application. Clim Res 7:85–95

    Article  Google Scholar 

  • Holzfuss J, Mayer-Kress G (1986) An approach to error-estimation in the application of dimension algorithms. In: Mayer-Kress G (ed) Dimensions and entropies in chaotic systems. Springer, New York

    Google Scholar 

  • Huth R (1999) Statistical downscaling in central Europe: evaluation of methods and potential predictors. Clim Res 13:91–101

    Article  Google Scholar 

  • IPCC (2007) Contribution of working group I to the fourth assessment report of the intergovernmental panel on climate change. In: Solomon S, Qin D, Manning M, Chen Z, Marquis M, Averyt KB, Tignor M, Miller HL (eds) Climate change 2007: the physical science basis. Cambridge University Press, Cambridge

    Google Scholar 

  • Jayawardena AW, Lai F (1994) Analysis and prediction of chaos in rainfall and stream flow time series. J Hydrol 153:23–52

    Article  Google Scholar 

  • Kennel MB, Brown R, Abarbanel HDI (1992) Determining embedding dimension for phase space reconstruction using a geometric method. Phys Rev A 45:3403–3411

    Article  Google Scholar 

  • Lee D-K, Kim H-R, Hong S-Y (1998) Heavy precipitation over Korea during 1980–1990. Korean J Atmos Sci 1:32–50

    Google Scholar 

  • Lim K-H (1997) The linear relationship between monthly precipitation amounts of Korea and time variation of the geopotential height in East Asia and the Pacific during the summer season. J Korean Meteorol Soc 33:63–74

    Google Scholar 

  • Maurer EP (2007) Uncertainty in hydrologic impacts of climate change in the Sierra Nevada, California under two emissions scenarios. Clim Chang 82(3–4):309–325

    Article  Google Scholar 

  • Murphy J (1999) An evaluation of statistical and dynamical techniques for downscaling local climate. J Climate 12:2256–2284

    Article  Google Scholar 

  • Nerenberg MAH, Essex C (1990) Correlation dimension and systematic geometric effects. Phys Rev A 42(12):7065–7074

    Article  Google Scholar 

  • Olsson J, Niemczynowicz J, Berndtsson R (1993) Fractal analysis of high-resolution rainfall time series. J Geophys Res 98(D12):23265–23274

    Article  Google Scholar 

  • Packard NH, Crutchfield JP, Farmer JD, Shaw RS (1980) Geometry from a time series. Phys Rev Lett 45(9):712–716

    Article  Google Scholar 

  • Panofsky HA, Brier GW (1968) Some applications of statistics to meteorology. The Pennsylvania State University, University Park, 224 pp

  • Porporato A, Ridolfi R (1997) Nonlinear analysis of river flow time sequences. Water Resour Res 33(6):1353–1367

    Article  Google Scholar 

  • Puente CE, Obregon N (1996) A deterministic geometric representation of temporal rainfall. Results for a storm in Boston. Water Resour Res 32(9):2825–2839

    Article  Google Scholar 

  • Randall DA (2000) General circulation model development: past, present, and future. Academic Press, San Diego

    Google Scholar 

  • Regonda S, Sivakumar B, Jain A (2004) Temporal scaling in river flow: can it be chaotic? Hydrol Sci J 49(3):373–385

    Article  Google Scholar 

  • Rodriguez-Iturbe I, De Power FB, Sharifi MB, Georgakakos KP (1989) Chaos in rainfall. Water Resour Res 25(7):1667–1675

    Article  Google Scholar 

  • Salathé EP (2003) Comparison of various precipitation downscaling methods for the simulation of streamflow in a rainshadow river basin. Int J Climatol 23:887–901

    Article  Google Scholar 

  • Schertzer D, Tchiguirinskaia I, Lovejoy S, Hubert P, Bendjoudi H (2002) Which chaos in the rainfall-runoff process? A discussion on ‘Evidence of chaos in the rainfall-runoff process’ by Sivakumar et al. Hydrol Sci J 47(1):139–147

    Article  Google Scholar 

  • Schreiber T, Kantz H (1996) Observing and predicting chaotic signals: is 2% noise too much? In: Kravtsov YA, Kadtke JB (eds) Predictability of complex dynamical systems. Springer series in synergetics. Springer, Berlin, pp 43–65

    Google Scholar 

  • Sivakumar B (2000) Chaos theory in hydrology: important issues and interpretations. J Hydrol 227(1–4):1–20

    Article  Google Scholar 

  • Sivakumar B (2001) Rainfall dynamics at different temporal scales: a chaotic perspective. Hydrol Earth Syst Sci 5(4):645–651

    Article  Google Scholar 

  • Sivakumar B (2004) Chaos theory in geophysics: past, present and future. Chaos Solitons Fractals 19(2):441–462

    Article  Google Scholar 

  • Sivakumar B (2005) Correlation dimension estimation of hydrologic series and data size requirement: myth and reality. Hydrol Sci J 50(4):591–604

    Article  Google Scholar 

  • Sivakumar B (2009) Nonlinear dynamics and chaos in hydrologic systems: latest developments and a look forward. Stoch Environ Res Risk Assess 23:1027–1036. doi:10.1007/s00477-008-0265-z

    Article  Google Scholar 

  • Sivakumar B, Liong SY, Liaw CY, Phoon KK (1999a) Singapore rainfall behavior: chaotic? ASCE J Hydrol Eng 4(1):38–48

    Article  Google Scholar 

  • Sivakumar B, Phoon KK, Liong SY, Liaw CY (1999b) A systematic approach to noise reduction in chaotic hydrological time series. J Hydrol 219(3/4):103–135

    Article  Google Scholar 

  • Sivakumar B, Sorooshian S, Gupta HV, Gao X (2001) A chaotic approach to rainfall disaggregation. Water Resour Res 37(1):61–72

    Article  Google Scholar 

  • Sivakumar B, Berndtsson R, Olsson J, Jinno K (2002a) Reply to ‘Which chaos in the rainfall-runoff process?’ by Schertzer et al. Hydrol Sci J 47(1):149–158

    Article  Google Scholar 

  • Sivakumar B, Persson M, Berndtsson R, Uvo CB (2002b) Is correlation dimension a reliable indicator of low-dimensional chaos in short hydrological time series? Water Resour Res 38(2). doi:10.1029/2001WR000333

  • Sivakumar B, Jayawardena AW, Li WK (2007) Hydrologic complexity and classification: a simple data reconstruction approach. Hydrol Process 21(20):2713–2728

    Article  Google Scholar 

  • Takens F (1981) Detecting strange attractors in turbulence. In: Rand DA, Young LS (eds) Dynamical systems and turbulence, Lecture notes in mathematics 898. Springer, Berlin, pp 366–381

    Google Scholar 

  • Tsonis AA, Elsner JB (1988) The weather attractor over very short timescales. Nature 333:545–547

    Article  Google Scholar 

  • Wilby RL, Wigley TML (1997) Downscaling general circulation model output: a review of methods and limitations. Prog Phys Geogr 21:530–548

    Article  Google Scholar 

  • Wilby RL, Wigley TML, Conway D, Jones PD, Hewitson BC, Main J, Wilks DS (1998) Statistical downscaling of general circulation model output: a comparison of methods. Water Resour Res 34:2995–3008

    Article  Google Scholar 

  • Wolf A, Swift JB, Swinney HL, Vastano A (1985) Determining Lyapunov exponents from a time series. Physica D 16:285–317

    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 

  • Xu CY (1999) From GCMs to river flow: a review of downscaling methods and hydrologic modelling approaches. Prog Phys Geogr 23(2):229–249

    Google Scholar 

  • Zorita E, von Storch H (1999) The analog method as a simple statistical downscaling technique: comparison with more complicated methods. J Climate 12:2474–2489

    Article  Google Scholar 

Download references

Acknowledgments

Hung Soo Kim would like to acknowledge the support from Inha University for his sabbatical at Texas A & M University during the course of this work. Bellie Sivakumar would like to thank the Korea Science and Technology Societies (for the Brainpool Fellowship) and Inha University that facilitated his stay at Inha University.

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Correspondence to Hung Soo Kim.

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Kyoung, M.S., Kim, H.S., Sivakumar, B. et al. Dynamic characteristics of monthly rainfall in the Korean Peninsula under climate change. Stoch Environ Res Risk Assess 25, 613–625 (2011). https://doi.org/10.1007/s00477-010-0425-9

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