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Applicability of a Multiplicative Random Cascade Model for Disaggregation of Forecasted Rainfalls

예보강우 시간분해를 위한 Multiplicative Cascade 모형의 적용성 평가

  • Kim, Daeha (Climate Application Department, APEC Climate Center) ;
  • Yoon, Sun-Kwon (Climate Application Department, APEC Climate Center) ;
  • Kang, Moon Seong (Department of Rural Systems Engineering, Research Institute of Agriculture and Life Sciences, Institute of Green Bio Science and Technology, Seoul National University) ;
  • Lee, Kyung-do (National Academy of Agricultural Science, Rural Development Administration)
  • Received : 2016.09.06
  • Accepted : 2016.09.26
  • Published : 2016.09.30

Abstract

High resolution rainfall data at 1-hour or a finer scale are essential for reliable flood analysis and forecasting; nevertheless, many observations, forecasts, and climate projections are still given at coarse temporal resolutions. This study aims to evaluate a chaotic method for disaggregation of 6-hour rainfall data sets so as to apply operational 6-hour rainfall forecasts of the Korean Meteorological Association to flood models. We computed parameters of a state-of-the-art multiplicative random cascade model with two combinations of cascades, namely uniform splitting and diversion, using rainfall observations at Seoul station, and compared statistical performance. We additionally disaggregated 6-hour rainfall time series at 58 stations with the uniform splitting and evaluated temporal transferability of the parameters and changes in multifractal properties. Results showed that the uniform splitting outperformed the diversion in reproduction of observed statistics, and hence is better to be used for disaggregation of 6-hour rainfall forecasts. We also found that multifractal properties of rainfall observations has adequate temporal consistency with an indication of gradually increasing rainfall intensity across South Korea.

Keywords

References

  1. Berne, A., G. Belrieu, J. -D. Creutin, and C. Obled, 2004. Temporal and spatial resolution of rainfall measurements required for urban hydrology. Journal of Hydrology 299: 166-179. https://doi.org/10.1016/S0022-1694(04)00363-4
  2. Choi, Y., 2002. Changes on frequency and magnitude of heavy rainfall events in South Korea, Journal of the Korean Data Analysis Society 4: 269-282.
  3. Gupta, V. J., and E. C. Waymire, 1993. A statistical analysis of mesoscale rainfall as a random cascade. Journal of Applied Meteorology 32: 251-267. https://doi.org/10.1175/1520-0450(1993)032<0251:ASAOMR>2.0.CO;2
  4. Han, M. S., C. S. Kim, H. S. Kim, and H. Kim, 2009. A study on the revised methods of missing rainfall data for real-time forecasting system, Journal of Korea Water Resources Association 42(2): 131-139 (In Korean). https://doi.org/10.3741/JKWRA.2009.42.2.131
  5. Jung, I. W., D. H. Bae, and G. Kim, 2011. Recent trends of mean and extreme precipitation in Korea. International Journal of Climatology 31: 359-370. https://doi.org/10.1002/joc.2068
  6. Kim, W., J. -G. Jhun, K. -J. Ha, and Kimoto, M., 2011, Decadal changes in climatological intraseasonal fluctuation of subseasonal evolution of summer precipitation over the Korean Penninsula in the mid-1990s. Advances in Atmospheric Sciences 28: 591-600. https://doi.org/10.1007/s00376-010-0037-9
  7. Koutsoyiannis, D., and A. Langousis, 2011. Precipitation. In.: P. Wilderer and S. Uhlenbrook, eds. Treatise on water sceince, volume 2. Oxford: Academic Press, 27-78.
  8. Lee, M. H., I. W. Jung, and D. H. Bae, 2011a. Korean flood vulnerability assessment on climate change, Journal of Korea Water Resources Association, 44(8): 653-666 (In Korean). https://doi.org/10.3741/JKWRA.2011.44.8.653
  9. Lee, S. J., C. S. Jeong, J. C. Kim, and M. H. Hwang, 2011b. Long-term streamflow prediction using ESP and RDAPS model, Journal of Korea Water Resources Association 44(12): 967-974 (In Korean). https://doi.org/10.3741/JKWRA.2011.44.12.967
  10. Licznar, P., C. De Michele, and W. Adamowski, 2015. Precipitation variability within an urban monitoring network via microcanonical cascade generators. Hydrology and Earth System Sciences 19: 485-506. https://doi.org/10.5194/hess-19-485-2015
  11. Linznar, P., J. Lomotowski, and D. E. Rupp, 2011. Random cascade driven rainfall disaggregation for urban hydrology: An evaluation of six models and a new generator, Atmospheric Research 99: 563-578. https://doi.org/10.1016/j.atmosres.2010.12.014
  12. Lisniak, D., J. Franke, and C. Bernhofer, 2013. Circulation pattern based parameterization of a multiplicative random cascade for disaggregation of observed and projected daily rainfall time series. Hydrology and Earth System Sciences 17: 2487-2500. https://doi.org/10.5194/hess-17-2487-2013
  13. Lombardo F., E. Volpi, and D. Koutsoyiannis, 2012. Rainfall downscaling in time: theoretical and empirical comparison between mutifractal and Hurst-Kolmogorov discrete random cascades. Hydrological Science Journal 57: 1052-1066. https://doi.org/10.1080/02626667.2012.695872
  14. Mandelbrot, B., 1974. Intermittent turbulence in self-similar cascades-divergence of high moments and dimension of carrier. Journal of Fluid Mechanics 62: 331-358. https://doi.org/10.1017/S0022112074000711
  15. Müller, H., and U. Haberlandt, 2015. Temporal rainfall disaggregation with a cascade model: from single-station disaggregation to spatial rainfall. Journal of Hydrologic Engineering 20: 04015026. https://doi.org/10.1061/(ASCE)HE.1943-5584.0001195
  16. Müller, H., and U. Haberlandt, 2016. Temporal rainfall disaggregation using a multiplicative cascade model for spatial application in urban hydrology. Journal of Hydrology, In press.
  17. Olsson, J., 1998. Evaluation of a scaling cascade model for temporal rainfall disaggregation, Hydrology and Earth System Science 2: 19-30. https://doi.org/10.5194/hess-2-19-1998
  18. Onof, C., R. E. Chandler, and A. Kakaou, 2000. Rainfall modelling using Possion-cluster processes: a review of developments. Stochastic Environmental Research and Risk Assessment 14: 384-411. https://doi.org/10.1007/s004770000043
  19. Paschalis, A., P. Molnar, S. Fatichi, and P. Burlando, 2014. On temporal stochastic modeling of precipitation, nesting models across scales. Advances in Water Resources 63, 152-166. https://doi.org/10.1016/j.advwatres.2013.11.006
  20. Sorup, H. J. D, H. Madsen, and K. Arnbjerg-Nielsen, 2012. Descriptive and predictive evaluation of high resolution Markov chain precipitation models. Environmetrics 23: 623-635. https://doi.org/10.1002/env.2173
  21. Yim, S. -Y., J. -G. Jhun, and S. -W. Yeh, 2008. Decadal change in the relationship between east Asian-western North Pacific summer monsoons and ENSO in the mid-1990s. Geophysical Research Letters 35: L20711. https://doi.org/10.1029/2008GL035751