Journal of Korea Water Resources Association (한국수자원학회논문집)

Korea Water Resources Association (한국수자원학회)
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Applicability of a Space-time Rainfall Downscaling Algorithm Based on Multifractal Framework in Modeling Heavy Rainfall Events in Korean Peninsula

강우의 시공간적 멀티프랙탈 특성에 기반을 둔 강우다운스케일링 기법의 한반도 호우사상에 대한 적용성 평가

  • Lee, Dongryul (Center of Disaster Research and Hydrologic Data Center Using Radar Measurement, Korea Institute of Construction Technology) ;
  • Lee, Jinsoo (Department of Civil Engineering, Hongik University) ;
  • Kim, Dongkyun (Department of Civil Engineering, Hongik University)
  • 이동률 (한국건설기술연구원 수문레이더 재해연구.데이터센터) ;
  • 이진수 (홍익대학교 토목공학과) ;
  • 김동균 (홍익대학교 토목공학과)
  • Received : 2014.08.18
  • Accepted : 2014.09.16
  • Published : 2014.09.30
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Abstract

This study analyzed the applicability of a rainfall downscaling algorithm in space-time multifractal framework (RDSTMF) in Korean Peninsula. To achieve this purpose, the 8 heavy rainfall events that occurred in Korea during the period between 2008 and 2012 were analyzed using the radar rainfall imagery. The result of the analysis indicated that there is a strong tendency of the multifractality for all 8 heavy rainfall events. Based on the multifractal exponents obtained from the analysis, the parameters of the RDSTMF were obtained and the relationship between the average intensity of the rainfall events and the parameters of the RDSTMF was developed. Based on this relationship, the synthetic space-time rainfall fields were generated using the RDSTMF. Then, the generated synthetic space-time rainfall fields were compared to the observation. The result of the comparison indicated that the RDSTMF can accurately reproduce the multifractal exponents of the observed rainfall field up to 3rd order and the cumulative density function of the observed space-time rainfall field with a reasoable accuracy.

본 연구에서는 강우의 시공간적 멀티프랙탈 특성에 기반을 둔 다운스케일링 알고리즘(RDSTMF-Rainfall Downscaling in Space-Time Multifractal Framework)을 한반도에 적용하여 그 적용성을 살펴보았다. 이를 위하여 2008년부터 2012년까지 우리나라에 호우주의보를 일으킨 8개의 이벤트에 대한 레이더강우자료를 분석하여 각 이벤트에 대한 멀티프랙탈 지수를 판별하였으며, 이에 근거하여 RDSTMF의 모수들을 산정하고 이 모수들과 시공간강우장의 평균강우량과의 관계를 도출하였다. 이 관계에 근거하여 RDSTMF를 사용하여 가상의 시공간강우장을 생성, 관측 시공간 강우장과 비교하였다. 비교 결과, RDSTMF를 사용하여 생성된 가상의 시공간 강우장은 관측 시공간 강우장의 멀티프랙지수를 3차 모멘트까지 정확히 모사함을 확인하였으며, 누적분포함수 또한 비교적 정확히 모사함을 확인하였다.

Keywords

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