臺灣南部地區最大日雨量區域頻率分析之研究

本研究以臺灣南部地區爲研究範圍，進行年最大一日暴雨之均匀性劃分及區域頻率分析。首先以主成份分析探究年最大日雨量空間分佈之主要成份與成份分佈狀況，並萃取前數項之最主要成份，代替原始之多項變量，以達到成份因子獨立及資料精減等效用。分析前數個主成份後，選用與研究目的──區分機率分佈區域相關之主成份，進行羣集分析，以歸類具有相同機率分佈之降雨區域；再將分羣結果點繪在線性動差圖上，以選擇最適之機率分佈。結果顯示：第A羣和第B羣具有PT3機率分佈的特性；第C羣和第D羣具有GEV機率分佈的特性。

關鍵字

區域頻率分析；主成份分析；羣集分析；線性動差圖

並列摘要

The main aim of this study is to focus on the classification of homogeneous region and regional frequency analysis for the annual maximum daily rainfall in southern Taiwan. The principal component analysis has been used, in the beginning, to investigate the main components and its dispersion of annual maximum daily rainfall. The main components are then replaced the original components for achieving the purpose of data reduction and data interpretation. After examining the first several main components, the components which correlate in classification of probability distribution are chosen. These components have been employed in cluster analysis for identifying the rainfall areas with the same probability distribution. As a result, the A and B regions own the character of PT3 distribution, while the C and D regions have the character of GEV distribution.

並列關鍵字

Regional frequency analysis ； Principal component analysis ； Cluster analysis ； L-moment diagram

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