• Title/Summary/Keyword: Regional frequency analysis

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지점 및 지역빈도분석에 의한 설계강우량의 추정 (Estimation of Design Rainfall derived by At-site and Regional Frequency Analysis)

  • 류경식;이순혁;맹승진
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2004년도 학술발표회
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    • pp.318-322
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    • 2004
  • This study was conducted to derive the regional design rainfall by the regional frequency analysis based on the regionalization of the precipitation. For the estimation of the regional design rain(all, classification of the climatologically and geographically homogeneous regions should be preceded preferentially The optimal regionalization of the precipitation data were classified by the above mentioned conditions for all over the regions except Jeju and Ulleung islands in Korea. Relative root mean square error(RRMSE), relative bias(RBIAS) and relative reduction(RR) in RRMSE for the design rainfall were computed and compared between the regional and at-site frequency analysis. Consequently, optimal design rainfalls following the classified regions and consecutive durations were derived by the regional frequency analysis using GEV distribution which was identified to be more optimal one than the other applied distributions.

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L 및 LH-모멘트법과 지역빈도분석에 의한 가뭄우량의 추정(I) - L-모멘트법을 중심으로 - (Estimation of Drought Rainfall by Regional Frequency Analysis using L and LH-Moments(I) - On the Method of L-Moments -)

  • 이순혁;윤성수;맹승진;류경식;주호길
    • 한국농공학회지
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    • 제45권5호
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    • pp.97-109
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    • 2003
  • This study is mainly conducted to derive the design drought rainfall by the consecutive duration using probability weighted moments with rainfall in the regional drought frequency analysis. It is anticipated to suggest optimal design drought rainfall of hydraulic structures for the water requirement and drought frequency of occurrence for the safety of water utilization through this study. Preferentially, this study was conducted to derive the optimal regionalization of the precipitation data that can be classified by the climatologically and geographically homogeneous regions all over the regions except Cheju and Ulreung islands in Korea. Five homogeneous regions in view of topographical and climatological aspects were accomplished by K-means clustering method. Using the L-moment ratio diagram and Kolmogorov-Smirnov test, generalized extreme value distribution was confirmed as the best fitting one among applied distributions. At-site and regional parameters of the generalized extreme value distribution were estimated by the method of L-moments. Design drought rainfalls using L-moments following the consecutive duration were derived by the at-site and regional analysis using the observed and simulated data resulted from Monte Carlo techniques. Relative root-mean-square error (RRMSE), relative bias (RBIAS) and relative reduction (RR) in RRMSE for the design drought rainfall derived by at-site and regional analysis in the observed an simulated data were computed and compared. In has shown that the regional frequency analysis procedure can substantially more reduce the RRMSE. RBIAS and RR in RRMSE than those of at-site analysis in the prediction of design drought rainfall. Consequently, optimal design drought rainfalls following the regions and consecutive durations were derived by the regional frequency analysis.

고차확률가중모멘트법에 의한 지역화빈도분석과 GIS기법에 의한 설계강우량 추정 (Estimation of Design Rainfall by the Regional Frequency Analysis using Higher Probability Weighted Moments and GIS Techniques)

  • 이순혁;박종화;류경식;지호근;신용희
    • 한국농공학회:학술대회논문집
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    • 한국농공학회 2002년도 학술발표회 발표논문집
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    • pp.237-240
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    • 2002
  • Design rainfall using LH-moments following the consecutive duration were derived by the regional and at-site analysis using the observed and simulated data resulted from Monte Carlo techniques. RRMSE, RBIAS and RR in RRMSE for the design rainfall were computed and compared in the regional and at-site frequency analysis. Consequently, it was shown that the regional analysis can substantially more reduce the RRMSE, RBIAS and RR in RRMSE than at-site analysis in the prediction of design rainfall. RE for an optimal order of L-moments was also computed by the methods of L, L1, L2, L3 and L4-moments for GEV distribution. It was found that the method of L-moments is more effective than the others for getting optimal design rainfall according to the regions and consecutive durations in the regional frequency analysis. Diagrams for the design rainfall derived by the regional frequency analysis using L-moments were drawn according to the regions and consecutive durations by GIS techniques.

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L-Moments법에 의한 낙동강유역 월강우량의 지역가뭄빈도해석 (Regional Drought Frequency Analysis of Monthly Precipitation with L-Moments Method in Nakdong River Basin)

  • 김성원
    • 한국환경과학회지
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    • 제8권4호
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    • pp.431-441
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    • 1999
  • In this study, the regional frequency analysis is used to determine each subbasin drought frequency with reliable monthly precipitation and the L-Moments method which is almost unbiased and has very nearly a normal distribution is used for the parameter estimation of monthly precipitation time series in Nakdong river basin. As the result of this study, the duration of '93-'94 is most severe drought year than any other water year and the drought frequency is established as compared the regional frequency analysis result of cumulative precipitation of 12th duration months in each subbasin with that of 12th duration months in the major drought duration. The Linear regression equation is induced according to linear regression analysis of drought frequency between Nakdong total basin and each subbasin of the same drought duration. Therefore, as the foundation of this study, it can be applied proposed method and procedure of this study to the water budget analysis considering safety standards for the design of impounding facilities large-scale river basin and for this purpose, above all, it is considered that expansion of reliable preciptation data is needed in watershed rainfall station.

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지역화빈도분석에 의한 설계강우량 추정 - L-모맨트법을 중심으로 - (Estimation of Design Rainfall by the Regional Frequency Analysis - On the method of L-moments -)

  • 이순혁;박종화;류경식;지호근;전택기;신용희
    • 한국농공학회:학술대회논문집
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    • 한국농공학회 2001년도 학술발표회 발표논문집
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    • pp.319-323
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    • 2001
  • This study was conducted to derive the regional design rainfall by the regional frequency analysis based on the regionalization of the precipitation. Using the L-moment ratios and Kolmogorov-Smirnov test, the underlying regional probability distribution was identified to be the Generalized extreme value distribution among apt]lied distributions. regional and at-site parameters of the Generalized extreme value distribution were estimated by the method of L-moment. The regional and at-site analysis for the design rainfall were tested by Monte Carlo simulation. Relative root-mean-square error(RRMSE), relative bias(RBIAS) and relative reduction(RR) in RRMSE were computed and compared with those resulting from at-site Monte Carlo simulation. All show that the regional analysis procedure can substantially reduce the RRMSE, RBIAS and RR in RRMSE in the prediction of design rainfall. Consequently, optimal design rainfalls following the regions and consecutive durations were derived by the regional frequency analysis.

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고차확률가중모멘트법에 의한 지역화빈도분석과 GIS기법에 의한 설계강우량 추정(II) - L-모멘트법을 중심으로 - (Estimation of Design Rainfall by the Regional Frequency Analysis using Higher Probability Weighted Moments and GIS Techniques(l ) - On the method of L-moments-)

  • 이순혁;박종화;류경식
    • 한국농공학회지
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    • 제43권5호
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    • pp.70-82
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    • 2001
  • This study was conducted to derive the regional design rainfall by the regional frequency analysis based on the regionalization of the precipitation suggested by the first report of this project. Using the L-moment ratios and Kolmogorov-Smirnov test, the underlying regional probability distribution was identified to be the Generalized extreme value distribution among applied distributions. Regional and at-site parameters of the generalized extreme value distribution were estimated by the linear combination of the probability weighted moments, L-moment. The regional and at-site analysis for the design rainfall were tested by Monte Carlo simulation. Relative root-mean-square error(RRMSE), relative bias(RBIAS) and relative reduction(RR) in RRMSE were computed and compared with those resulting from at-site Monte Carlo simulation. All show that the regional analysis procedure can substantially reduce the RRMSE, RBIAS and RR in RRMSE in the prediction of design rainfall. Consequently, optimal design rainfalls following the legions and consecutive durations were derived by the regional frequency analysis.

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Copula 함수를 이용한 이변량 가뭄 지역빈도해석 모형 개발 (A development of bivariate regional drought frequency analysis model using copula function)

  • 김진국;김진영;반우식;권현한
    • 한국수자원학회논문집
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    • 제52권12호
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    • pp.985-999
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    • 2019
  • 전 세계적으로 극심한 가뭄현상이 반복적으로 발생하고 있으며, 이러한 가뭄을 분석하기 위한 연구가 다수 진행되고 있다. 최근 코플라 함수를 활용한 이변량 가뭄빈도해석에 대한 연구가 다수 진행된 바 있으나, 대부분 지점빈도해석에 국한되어 진행되었으며, 통계적으로 부족한 자료의 기간을 보완하기 위한 대안으로 지역빈도해석 개념을 도입한 연구는 미진한 실정이다. 이러한 점에서 본 연구에서는 기존의 베이지안 기법과 코플라 함수를 연계한 이변량 지역빈도해석 모형을 개발하였다. 최종적으로 이변량 코플라 가뭄 지역빈도해석 모형을 한강유역에 적용하여 2013-2015년에 발생한 가뭄 사상을 평가하였으며, 기존에 개발된 이변량 지점빈도해석 결과와 비교를 통해 모형의 해석결과에 대한 신뢰성을 확보하였다. 결과적으로 이변량 지점빈도해석에 비해 가뭄사상에 대한 결합재현기간의 불확실성 구간이 약 3배 가까이 감소하였으며, DIC 통계량 산정결과 약 15 이상 개선된 것을 확인하였다. 본 연구를 통해 제안된 베이지안 코플라 기반 이변량 가뭄 지역빈도해석 모형은 가뭄자료의 분포특성 및 자료간의 상관성을 효과적으로 재현하는데 유리할 뿐만 아니라, 지역적인 가뭄특성을 효과적으로 평가할 수 있는 장점을 확인할 수 있었다.

Self-organizing map을 이용한 강우 지역빈도해석의 지역구분 및 적용성 검토 (Assessing applicability of self-organizing map for regional rainfall frequency analysis in South Korea)

  • 안현준;신주영;정창삼;허준행
    • 한국수자원학회논문집
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    • 제51권5호
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    • pp.383-393
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    • 2018
  • 지역빈도해석은 대상 지점과 수문학적 동질성을 만족하는 주변 지점을 하나의 지역으로 보고 빈도해석을 수행하는 방법이다. 따라서 동질한 지역의 구분은 지역빈도해석에 있어서 가장 중요한 가정이라고 할 수 있다. 이에 본 연구에서는 인공신경망 기법중 하나인 자기조직화지도(self-organizing map, SOM) 기법을 활용하여 강우 지역빈도해석을 위한 동질 강수 지역을 구분하였다. 지역구분 인자로는 지형 정보와 시 단위 강우 자료를 활용하였다. 최적 SOM 지도 구성을 위해 정량적 오차와 위상관계 오차를 활용하였다. 그 결과 $7{\times}6$ 배열의 42개의 노드를 갖는 모형을 선정하였고 최종적으로 강우 지역빈도해석을 위해 6개의 군집으로 구분하였다. 동질성 검토 결과 6개의 군집 모두 동질한 지역으로 나타났으며 기존의 유사하게 구분된 지역들과 이질성 척도를 비교하였을 때 좀 더 안정적인 지역 구분결과를 나타내는 것을 확인하였다.

지형특성을 활용한 계층적 Bayesian Spatial 지역빈도해석 (Development of Hierarchical Bayesian Spatial Regional Frequency Analysis Model Considering Geographical Characteristics)

  • 김진영;권현한;임정열
    • 한국수자원학회논문집
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    • 제47권5호
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    • pp.469-482
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    • 2014
  • 본 연구에서는 지역특성(위도, 경도, 고도)과 기후학적 특성(연최대강우량)을 계층적 Bayesian 모형안에서 연계하여 공간적 분석이 가능한 지역빈도해석 모형을 개발하였다. 기존 지역빈도해석은 강수지점의 지리적/지형적 특성을 반영한 해석이 어려운 단점이 있으며, 지점을 기준으로 해석된 확률강수량을 유역면적강우량으로 변환 시 불확실성이 큰 단점이 있다. 이에 본 연구에서는 계층적 Bayesian 기법을 이용하여 지역특성 및 기후학적 특성이 고려된 Gumbel 확률분포형의 매개변수를 추정하였으며, 이들 매개변수들을 공간적으로 보간하여 한강유역내 모든 지점에 대해서 확률강수량을 추정할 수 있도록 하였다. 결과적으로 기존 L-모멘트 방법과 유사한 결과를 확인할 수 있었으며 확률강수량의 불확실성 정량화와 더불어 지리적/지형적 영향을 고려한 해석이 가능하였다.

Log-Pearson Type III 및 GEV분포모형에 의한 강우의 지점 및 지역빈도 비교분석 (Comparative Analysis of regional and at-site analysis for the design rainfall by Log-Pearson Type III and GEV Distribution)

  • 류경식;이순혁
    • 한국농공학회:학술대회논문집
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    • 한국농공학회 2003년도 학술발표논문집
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    • pp.443-446
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    • 2003
  • This study was conducted to draw design rainfall for the regional design rainfall derived by the optimal distribution and method of frequency analysis. The design rainfalls were calculated by the regional and at-site analysis for Log-Pearson type III and GEV distributions and were compared with Relative efficiency(RE) which is ratio of Relative root-mean-square error(RRMSE) by the regional and at-site analysis for Log-Pearson type III and GEV distributions. Consequently, optimal design rainfalls following the regions and consecutive durations were derived by the regional frequency analysis for GEV distribution and design rainfall maps were drawn by GIS techniques.

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