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Log Pearson Type III 분포 모형에 의한 매개변수 유도방법별 설계홍수량의 비교 고찰
이순혁,정연수,맹승진,유경식,Lee Soon-hyuk,Jong Youn-su,Maeng Sung-jin,Ryoo Kyong-sik 한국관개배수위원회 1997 한국관개배수논문집 Vol.4 No.1
This study was conducted to derive optimal design floods by Log Pearson Type III distribution model of the annual maximum series at five watersheds along Geum, Yeong San and Seom Jin river systems. Design floods obtained by different methods for evaluatio
L-모멘트 및 LH-모멘트 기법에 의한 적정 설계홍수량의 유도( I ) - L-모멘트법을 중심으로 -
이순혁 ( Lee Soon Hyuk ),박명근 ( Park Myeong Keun ),맹승진 ( Maeng Sung Jin ),정연수 ( Jong Youn Su ),김동주 ( Kim Dong Joo ),류경식 ( Ryoo Kyong Sik ) 한국농공학회 1998 韓國農工學會誌 : 전원과 자원 Vol.40 No.4
This study was conducted to derive optimal design floods by Generalized Extreme Value (GEV) distribution for the annual maximum series at ten watersheds along Han, Nagdong, Geum, Yeongsan and Seomjin river systems. Adequacy for the analysis of flood data used in this study was established by the tests of Independence, Homogeneity, detection of Outliers. L-coefficient of variation, L-skewness and L-kurtosis were calculated by L-moment ratio respectively. Parameters were estimated by the Methods of Moments and L-Moments. Design floods obtained by Methods of Moments and L-Moments using different methods for plotting positions in GEV distribution were compared by the Relative Mean Errors(RME) and Relative Absolute Errors(RAE). The results were analyzed and summarized as follows. 1. Adequacy for the analysis of flood data was acknowledged by the tests of Independence, Homogeneity and detection of Outliers. 2. GEV distribution used in this study was found to be more suitable one than Pearson type 3 distribution by the goodness of fit test using Kolmogorov-Smirnov test and L-Moment ratios diagram in the applied watersheds. 3. Parameters for GEV distribution were estimated using Methods of Moments and L-Moments. 4. Design floods were calculated by Methods of Moments and L-Moments in GEV distribution. 5. It was found that design floods derived by the method of L-Moments using Weibull plotting position formula in GEV distribution are much closer to those of the observed data in comparison with those obtained by method of moments using different formulas for plotting positions from the viewpoint of Relative Mean Errors and Relative Absolute Errors.
L-모멘트 및 LH-모멘트 기법에 의한 적정 설계홍수량의 유도(II) -LH-모멘트법을 중심으로
이순혁 ( Lee Soon Hyuk ),박명근 ( Park Myeong Keun ),맹승진 ( Maeng Sung Jin ),정연수 ( Jong Youn Su ),김동주 ( Kim Dong Joo ),류경식 ( Ryoo Kyong Sik ) 한국농공학회 1999 韓國農工學會誌 : 전원과 자원 Vol.41 No.3
Derivation of reasonable design floods was attempted by comparative analysis of design floods derived by Generalized Extreme Value(GEV) distribution using methods of L-moments and LH-moments for the annual maximum series at ten watersheds along Han, Nagdong, Geum, Yeongsan and Seomjin river systems, LH-coefficient of variation, LH-skewness and LH-kurtosis were calculated by KH-moment ration respectively. Parameters were estimated by the Method of LH-Moments, Design floods obtained by Method of LH-Moments using different methods for plotting positions in GEV distribution and design floods were compared with those obtained using the Method of L-Moments by the Relative Mean Errors(RME) and Relative Absolute Errors(RAE). The results was found that design floods derived by the method of L-Moments and LH-Moments using Cunnane plotting position formula in the GEV distribution are much closer to those of the observed data in comparison with those obtained by methods of L-moments and LH-moments using the other formula for plotting positions from the viewpoint of Relative Mean Errors and Relative Absolute Errors. In viewpoint of the fact that hydraulic structures including dams and levees are generally using design floods with the return period of two hundred years or so, design floods derived by LH-Moments are seemed to be more reasonable than those of L-Moments in the GEV distribution.
Gamma 및 Generalized Gamma 분포 모형에 의한 적정 설계홍수량의 유도(II) -Generalized Gamma 분포모형을 중심으로-
이순혁 ( Lee Soon Hyuk ),박명근 ( Park Myeong Keun ),맹승진 ( Maeng Sung Jin ),정연수 ( Jong Youn Su ),류경식 ( Ryoo Kyong Sik ) 한국농공학회 1998 韓國農工學會誌 : 전원과 자원 Vol.40 No.2
This study was conducted to derive optimal design floods by generalized gamma distribution model of the annual maximum series at eight watersheds along Geum, Yeongsan and Seomjin river systems. Design floods obtained by different methods for evaluation of parameters and for plotting positions in the generalized gamma distribution model were compared by the relative mean errors and graphical fit along with 95% confidence limits plotted on gamma probability paper. The results were analyzed and summarized as follows. 1. Basic statistics and parameters were calculated by the generalized gamma distribution model using different methods for parameters. 2. Design floods according to the return periods were obtained by different methods for evaluation of parameters and for plotting positions in the generalized gamma distribution model. 3. It was found that design floods derived by sundry averages method for parameters and Cunnane method for plotting position in the generalized gamma distribution are much closer to those of the observed data in comparison with those obtained by the other methods for parameters and for plotting positions from the viewpoint of relative mean errors. 4. Reliability of design floods derived by sundry averages method in the generalized gamma distribution was acknowledged within 95% confidence interval.
이순혁 ( Lee Soon Hyuk ),박명근 ( Park Myeong Keun ),맹승진 ( Maeng Sung Jin ),정연수 ( Jong Youn Su ),김동주 ( Kim Dong Joo ),류경식 ( Ryoo Kyong Sik ) 한국농공학회 1998 한국농공학회 학술대회초록집 Vol.1998 No.-
This study was conducted to derive optimal design floods by Generalized Extreme-value(GEV) distribution for the annual maximum series at ten watersheds along Han, Nagdong, Geum, Yeongsan and Seomjin river systems. Adequacy for the analysis of flood data used in this study was established by the tests of Independence, Homogeneity, detection of Outliers. L-coefficient of variation, L-skewness and L-kurtosis were calculated by L-moment ratio respectively. Parameters were estimated by the Methods of Moments and L-Moments. Design floods obtained by Methods of Moments and L-Moments using different methods for plotting positions in GEV distribution were compared by the relative mean and relative absolute error. It was found that design floods derived by the method of L-moments using weibull plotting position formula in GEV distribution are much closer to those of the observed data in comparison with those obtained by method of moments using different formulas for plotting positions in view of relative mean and relative absolute error.
L-모멘트 및 LH-모멘트에 의한 GEV분포모형의 설계홍수량의 유도
이순혁 ( Lee Soon Hyuk ),박명근 ( Park Myeong Keun ),맹승진 ( Maeng Sung Jin ),정연수 ( Jong Youn Su ),김동주 ( Kim Dong Joo ),류경식 ( Ryoo Kyong Sik ) 한국농공학회 1999 한국농공학회 학술대회초록집 Vol.1999 No.-
This study was conducted to derived design floods by Generalized Extreme Value(GEV) distribution for the annual maximum series at ten watersheds along Han, Nagdong, Geum, Yeongsan and Seomjin river systems. Adequency for the analysis of flood data used in this study was established by the test of Independence, Homogeneity, detection of Outliers. Coefficient of variation, skewness and kurtosis were calculated by the L-Moment and LH-Moment ratio respectively, Parameters were estimated by the Method of L-Moments and LH-Moments. Design floods obtained by Method of L-Moments and LH-'Moments using different methods for plotting positions in GEV distribution and were compared with those obtained using the Method of L-Moments and LH-Moments by the Relative Mean Errors and Relative Absolute Errors. It was found that design floods derived by the method of L-Moments and LH-Moments using Cunnane plotting position formula in the GEV distribution arc much closer to those of the observed data in comparison with those obtained by methods of L-moments and LH-moments using the other formulas for plotting positions from the viewpoint of Relative Mean Errors and Relative Absolute Errors. In view of the fact that hydraulic structures including dams and levees are generally using design floods with the return period of two hundred years or so, design floods derived by LH-Moments are seemed to be more reasonable than those of L-Moments in the GEV distribution.