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Development of Stochastic Downscaling Method for Rainfall Data Using GCM

GCM Ensemble을 활용한 추계학적 강우자료 상세화 기법 개발

  • Kim, Tae-Jeong (Department of Civil Engineering, Chonbuk National University) ;
  • Kwon, Hyun-Han (Department of Civil Engineering, Chonbuk National University) ;
  • Lee, Dong-Ryul (Korea Institute of Construction Technology, Water Resources Research Division) ;
  • Yoon, Sun-Kwon (Climate Change Research Team, Climate Research Department, APEC Climate Center)
  • 김태정 (전북대학교 토목공학과, 방재연구센터) ;
  • 권현한 (전북대학교 토목공학과, 방재연구센터) ;
  • 이동률 (한국건설기술연구원 수자원연구실) ;
  • 윤선권 (APEC 기후센터 연구본부 기후변화연구팀)
  • Received : 2014.07.21
  • Accepted : 2014.09.05
  • Published : 2014.09.30

Abstract

The stationary Markov chain model has been widely used as a daily rainfall simulation model. A main assumption of the stationary Markov model is that statistical characteristics do not change over time and do not have any trends. In other words, the stationary Markov chain model for daily rainfall simulation essentially can not incorporate any changes in mean or variance into the model. Here we develop a Non-stationary hidden Markov chain model (NHMM) based stochastic downscaling scheme for simulating the daily rainfall sequences, using general circulation models (GCMs) as inputs. It has been acknowledged that GCMs perform well with respect to annual and seasonal variation at large spatial scale and they stand as one of the primary sources for obtaining forecasts. The proposed model is applied to daily rainfall series at three stations in Nakdong watershed. The model showed a better performance in reproducing most of the statistics associated with daily and seasonal rainfall. In particular, the proposed model provided a significant improvement in reproducing the extremes. It was confirmed that the proposed model could be used as a downscaling model for the purpose of generating plausible daily rainfall scenarios if elaborate GCM forecasts can used as a predictor. Also, the proposed NHMM model can be applied to climate change studies if GCM based climate change scenarios are used as inputs.

정상성 마코프 연쇄 모형은 일강우모의 모형으로 광범위하게 이용되고 있다. 하지만 정상성 마코프 연쇄 모형의 기본가정은 통계학적 특성이 시간에 따라 변화하지 않는 것으로, 일강우모의 시에 평균 또는 분산의 경향적 변화를 효과적으로 반영할 수 없다. 이러한 문제점을 인지하여 본 연구에서는 연주기 및 계절변화에 대하여 우수한 모의 능력을 나타내는 GCM의 모의결과를 입력자료로 이용하여 일강우량을 모의하기 위한 통계학적 상세화(downscaling) 기법인 비정상성 은닉 마코프 모형을 개발하였다. 개발된 모형을 낙동강 유역에 존재하는 영주지점, 문경지점 및 구미지점의 관측강우량에 적용한 결과, 일단위 및 계절단위의 강우량의 통계적 특성을 기존 모형에 비하여 개선된 결과를 도출할 수 있었으며, 또한 개발된 모형은 극치강수량 복원에 있어서도 관측값과 보다 유사한 결과를 보여 주었다. 이러한 점에서 정확성이 확보된 GCM 계절예측자료가 입력자료로 NHMM 모형에 활용된다면 예측기반의 일강수 상세화 모형으로 활용될 수 있을 것으로 판단된다. 이와 더불어, 기후변화 시나리오 입력자료가 사용된다면 기후변화 상세화 모형으로서도 적용될 수 있을 것으로 사료된다.

Keywords

References

  1. Akaike, H. (1974). "A new look at the statistical model identification." IEEE Transactions on Automatic Control, Vol. 19, No. 6, pp. 716-723. https://doi.org/10.1109/TAC.1974.1100705
  2. Baum, L.E., Petrie, T., Soules, G., and Weiss, N. (1970). "A maximization technique occurring in the statistical analysis of probabilistic functions of markov chain." The Annals of Mathematical Statistics, Vol. 41, No. 1, pp. 164-174. https://doi.org/10.1214/aoms/1177697196
  3. Dempster, A., Laird, N., and Rubin, D. (1977). "Maximum likelihood from incomplete data via the EM algorithm." Journal of the Royal Statistical Society, Vol. 39, No. 1, pp. 1-38.
  4. Faraway, J., and Chatfield, C. (1998). "Time series forecasting with neural networks: a comparative study using the airline data." Journal of the Royal Statistical Society, Vol. 47, No. 2, pp. 231-250.
  5. Greene, A.M., Robertson, A.W., Smyth, R., and Triglia, S. (2011). "Downscaling projections of Indian monsoon rainfall using a non-homogeneous hidden markov model." Journal of the Royal Meteorological Society, Vol. 137, No. 655, pp. 347-359. https://doi.org/10.1002/qj.788
  6. Hurvich, C.M., and Tsai, C.-L. (1998). "A crossvalidatory AIC for hard wavelet thresholding in spatially adaptive function estimation." Biometrika, Vol. 85, No. 3, pp. 701-710. https://doi.org/10.1093/biomet/85.3.701
  7. Khalil, A.F., Kwon, H.-H., Lall, U., and Kaheil, Y.H. (2010). "Predictive downscaling based on non-homogeneous hidden markov models." Hydrological Sciences Journal, Vol. 55, No. 3, pp. 333-350. https://doi.org/10.1080/02626661003780342
  8. Khaliq, M.N., Ouardab, T.B.M.J., Ondob, J.-C., Gachona, P., and Bobeeb, B. (2006). "Frequency analysis of a sequence of dependent and/or non-stationary hydrometeorological observations: A review." Journal of Hydrology, Vol. 329, No. 3, pp. 534-552. https://doi.org/10.1016/j.jhydrol.2006.03.004
  9. Kim, T.-J. (2014). Development ofNonstationary Spatio-Temporal Downscaling Technique Using General Circulation Model Multi-Model Ensemble. Master's Thesis, Chonbuk National University, Jeonju, Jeollabuk, Republic of Korea.
  10. Kim, T.-J., Kwon, H.-H., and Kim, K.-Y. (2014). "Assessment of typhoon trajectories and Synoptic pattern based on probabilistic cluster analysis for the typhoons affecting the Korean peninsula." Journal of Korea Water Resources Association, Vol. 47, No. 4, pp. 385-396. https://doi.org/10.3741/JKWRA.2014.47.4.385
  11. Kumar, D., Arya, D.S., Murumkar, A.R., and Rahman, M.M. (2014). "Impact of climate change on rainfall in Northwestern Bangladesh using multi-GCMensembles." International Journal of Climatology, Vol. 34, No. 3, 1395-1404. https://doi.org/10.1002/joc.3770
  12. Kwon, H.-H., and Kim, B.-S. (2009). "Development of statistical downscaling model using nonstationary markov chain." Journal of Korean Water Resources Association, Vol. 42, No. 3 pp. 213-225. https://doi.org/10.3741/JKWRA.2009.42.3.213
  13. Kwon, H.-H., and So, B.-J. (2011). "Development of Daily Rainfall Simulation Model Using Piecewise Kernel-Pareto Continuous Distribution." Journal of Korean Society of Civil Engineers, Vol. 31, No. 3, pp. 277-284.
  14. Kwon, H.-H., Brown, C., and Lall, U. (2008) "Climate informed flood frequency analysis and prediction in Montana using hierarchical Bayesian modelling." Geophysical Research Letters, Vol. 35, No. 5, DOI: 10.1029/2007GL032220.
  15. Kwon, H.-H., Brown, C., Xu, K., and Lall, U. (2009). "Seasonal and annual maximum streamflow forecasting using climate information: application to the Tree Gorgers Dam in the Yangtze basin, China." Hydrological Sciences Journal, Vol. 54, No. 3, pp. 582-595. https://doi.org/10.1623/hysj.54.3.582
  16. Kwon, H.-H., Kim, T.-J. Hwang, S.-H., and Kim, T.-W. (2013). "Development of daily rainfall simulation model based on homogeneous hidden markov chain." Journal of Korean Society of Civil Engineers, Vol. 33, No. 5, pp. 1861-1870. https://doi.org/10.12652/Ksce.2013.33.5.1861
  17. Kwon, H.-H., Moon, Y.-I., Choi, B.-G., and Yoon, Y.-N. (2005). "Optimum size analysis for Dam rehabilitation using reliability analysis." Journal of Korean Water Resources Association, Vol. 38, No. 2, pp. 97-110. https://doi.org/10.3741/JKWRA.2005.38.2.097
  18. Lee, J.-J., Kwon, H.-H., and Hwang. K.-N. (2010a) "Concept of Seasonality Analysis of Hydrologic Extreme Variables and Design Rainfall Estimation using Nonstationary frequency analysis." Journal of Korean Water Resources Association, Vol. 43, No. 8, pp. 733-745. https://doi.org/10.3741/JKWRA.2010.43.8.733
  19. Lee, J.-J., Kwon, H.-H., and Kim. T.-W. (2010b) "Concept of Trend Analysis of Hydrologic Extreme Variables and Nonstationary frequency analysis." Journal of the Korean Society of Civil Engineers, Vol. 30, No. 4B, pp. 389-397.
  20. Li. P.-H., Kwon, H.-H., Sum, L., Lall, U., and Kao, J.-J (2010) "A modified support vector machine based prediction model on streamflow at the Shihmen Reservoir, Taiwan." International Journal of Climatology, Vol. 30, No. 8, pp. 1256-1268.
  21. Lim, Y.-K, Cocke, S., Shin, D.W., Schoof, J.T., Larow, T.E., and O'Brien, J.J. (2010). "Downscaling largescale NCEP CFS to resolve fine-scale seasonal precipitation and extremes for the crop growing seasons over the southeastern United State." Journal of Climate Dynamics, Vol. 35, No. 35, pp. 449-471. https://doi.org/10.1007/s00382-009-0671-z
  22. Malcolm. M.R., Cawley, G.C., Harpham, C., Wilby, R.L., and Clare, M.G. (2006). "Downscaling Heavy Precipitation over The United Kingdom: A Comparison of Dynamical and statistical methods and their future scenarios." International Journal of Climatology, Vol. 26, No. 10, pp. 1397-1415. https://doi.org/10.1002/joc.1318
  23. Mearns, L.O., Schneider, S.H., Thompson, S.L., and McDaniel, L.R. (1990). "Analysis of climate variability in general circulation models: comparison with observations and changes in Variability in 2 x $CO_2$ Experiments." Journal of Geophysical Research, Vol. 95, No. D12, pp. 20469-20490. https://doi.org/10.1029/JD095iD12p20469
  24. Milly, P.C.D., Dunne, A.K., and Vecchia, A.V. (2005). "Global pattern of trends in streamflow and water availability in a changing climate." Nature, Vol. 438, pp. 347-350. https://doi.org/10.1038/nature04312
  25. Moon, Y.-I., and Cha, Y.-I. (2004). "Simulation of Daily precipitation data using Nonhomegeneous markov chain model I-Theory." Journal of the Korean Society of Civil Engineers, Vol. 24, No. 5B, pp. 431-435.
  26. Muhammad, Z.H., Asaad, Y.S., and Bruce, W.M. (2011). "Comparison of SDSM and LARS-WG for simulation and downscaling of extreme precipitation events in a watershed." Stochastic Environmental Research and Risk Assessment, Vol. 25, No. 4, pp. 475-484. https://doi.org/10.1007/s00477-010-0416-x
  27. Nord, J. (1975). "Some applications of Markov chains." Proceedings Fourth Conference on Probability and Statistics in Atmospheric Science, Tallahas, pp. 125-130.
  28. Pan, W. (2001). "Akaike's information criterion in generalized estimating equations." Biometrics, Vol. 57, No. 1, pp. 120-125. https://doi.org/10.1111/j.0006-341X.2001.00120.x
  29. Stedinger, J.R., and Crainiceanu, C.M. (2000) "Climate variability and flood-risk management" Risk-based decision making in Water Resources IX, Proceedings of the 9th Conference, pp. 77-86.
  30. Strupczewski, W.G., Singh, V.P., and Feluch, W. (2001). "Non-stationary approach to at-site flood frequency modelling 1. Maximum likelihood estimation." Journal of Hydrology, Vol. 248, No. 1, pp. 123-142. https://doi.org/10.1016/S0022-1694(01)00397-3
  31. Vrac, M., and Naveau, P. (2007). "Stochastic downscaling of precipitation: from dry event to heavy rainfalls." Water Resources. Research, Vol. 43, No. 7, DOI:10.1029/2006WR005308.
  32. Wilks, D.S., and Wilby, R.L. (1999), "The weather generation game : a review of stochastic weather models." Progress in Physical Geography, Vol. 23, No. 3, pp. 329-357. https://doi.org/10.1177/030913339902300302
  33. Willems, P., and Vrac, M. (2011). "Statistical precipitation downscaling for small-scale hydrological impact investigations of climate change." Journal ofHydrology, Vol. 402, No. 3, pp. 193-205. https://doi.org/10.1016/j.jhydrol.2011.02.030
  34. Yang, Y., and Zou, H. (2004). "Combining time series models for forecasting." Journal of Forecasting, Vol. 20, No. 1, pp. 69-84. https://doi.org/10.1016/S0169-2070(03)00004-9
  35. Yonas, B.D., and Paulin, C. (2006). "Temporal neural networks for downscaling climate variability and extremes." Neural Networks, Vol. 19, No. 2, pp. 135-144. https://doi.org/10.1016/j.neunet.2006.01.003

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