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Regional Frequency Analysis for Rainfall using L-Moment

L-모멘트법에 의한 강우의 지역빈도분석

  • Published : 2008.03.31

Abstract

This study was conducted to derive the optimal regionalization of the precipitation data which can be classified on the basis of climatologically and geographically homogeneous regions all over the regions except Cheju and Ulreung islands in Korea. A total of 65 rain gauges were used to regional analysis of precipitation. Annual maximum series for the consecutive durations of 1, 3, 6, 12, 24, 36, 48 and 72hr were used for various statistical analyses. K-means clustering mettled is used to identify homogeneous regions all over the regions. Five homogeneous regions for the precipitation were classified by the K-means clustering. Using the L-moment ratios and Kolmogorov-Smirnov test, the underlying regional probability distribution was identified to be the generalized extreme value (GEV) distribution among applied distributions. The 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 regions and consecutive durations were derived by the regional frequency analysis.

Keywords

Rainfall Station;Annual Mean Rainfall;Homogeneity Test;L-moment;GEV Distribution;Monte Carlo;At-site Frequency Analysis;Regional Frequency Analysis

References

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Cited by

  1. Development of Hierarchical Bayesian Spatial Regional Frequency Analysis Model Considering Geographical Characteristics vol.47, pp.5, 2014, https://doi.org/10.3741/JKWRA.2014.47.5.469