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http://dx.doi.org/10.5389/KSAE.2009.51.4.049

Estimation of Design Floods Using 3 and 4 Parameter Kappa Distributions  

Maeng, Seung-Jin (충북대학교 농업생명환경대학 지역건설공학과)
Kim, Byeoung-Jun ((주)동흥산업개발)
Kim, Hyung-San (충북대학교 농업생명환경대학 지역건설공학과)
Publication Information
Journal of The Korean Society of Agricultural Engineers / v.51, no.4, 2009 , pp. 49-55 More about this Journal
Abstract
This paper is to induce design floods through L-moment with 3 and 4 parameter Kappa distributions including test of independence by Wald-Wolfowitz, homogeneity by Mann-Whitney and outlier by Grubbs-Beck on annual maximum flood flows at 9 water level gaging stations in Han, Nakdong and Geum Rivers of South Korea. After analyzing appropriateness of the data of annual maximum flood flows by Kolmogorov-Smirnov test, 3 and 4 Kappa distributions were applied and the appropriateness was judged. The parameters of 3 and 4 Kappa distributions were estimated by L-moment method and the design floods by water level gaging station was calculated. Through the comparative analysis using the relative root mean square errors (RRMSE) and relative absolute errors (RAE) calculated by 3 and 4 parameter Kappa distributions with 4 plotting position formulas, the result showed that the design floods by 4 parameter Kappa distribution with Weibull and Cunnane plotting position formulas are closer to the observed data than those obtained by 3 parameter Kappa distribution with 4 plotting position formulas and 4 parameter Kappa distribution with Hazen and Gringorten plotting position formulas.
Keywords
Annual maximum flood flows; 1-moment; kolmogorov-smirnov test; kappa distribution; flood frequency analysis; design floods;
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Times Cited By KSCI : 1  (Citation Analysis)
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