Journal of Korea Water Resources Association (한국수자원학회논문집)

Korea Water Resources Association (한국수자원학회)
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A Comparative Study on Lowflow Quantiles Estimation in Han River Basin

한강유역의 확률갈수량 추정기법 비교연구

  • 김경덕 (한국시설안전기술공단 진단2본부 댐항만실) ;
  • 김돈수 (건설교통부 예산담당관) ;
  • 허준행 (연세대학교 사회환경시스템공학부) ;
  • 김규호 (한국건설기술연구원 수자원환경부)
  • Published : 2003.04.01
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Abstract

Stream flow data was analyzed for determining the lowflow which is the standard for river maintenance flow. Lowflow quantiles were estimated based on the parametric and nonparametric methods and two methods were compared by Monte Carlo simulation study. As the results of the parametric method, three probability distributions such as gamma-2, lognormal-2 and Weibull-2, are selected as appropriate models for stream flow data of 13 stations in Han River Basins. According to simulation results, relative bias (RBIAS) and relative root mean square error (RRMSE) of the lowflow quantiles are the smallest when the applied and population models are the same. The fame statistical properties from the nonparametric models are good within the interpolation range. Among 7 bandwidth selectors used in this study, the RRMSEs of the Park and Marron method (PM) are the smallest while those of the Shoaler and Jones method (SJ) are the largest.

하천유지유량 설정에 최소한의 기준이 되는 갈수량을 결정하기 위하여 하천유량 자료를 검토하고 확률갈수량을 추정하였다. 확률갈수량은 모수적 방법과 비모수적 방법을 사용하여 산정하였으며, Monte Carlo 모의실험을 통하여 비교·분석하였다. 한강유역 13개 지점의 갈수량에 대한 빈도 해석을 실시한 결과, 유역 전체에 대한 확률분포 형은 3가지 분포형, 즉 2모수 gamma, 2모수 lognormal, 그리고 2모수 Weibull 분포가 한강 전지점의 주요 분포형으로 나타났다. 모집단과 같은 확률분포형의 상대편의와 상대평균제곱근오차가 가장 작게 나타났으며, 내삽범 위에서 비모수적 방법이 통계적 거동특성(상대편의와 상대평균제곱근오차)이 좋은 것으로 나타났다. RRMSE에 있어서 비모수적 방법중에서 PM 기법이 가장 작게 나타났으며, SJ 기법이 비모수적 방법 가운데 가장 크게 나타났다.

Keywords

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