台灣北部地區設計雨型特性之探討

Study on the Characteristics of Design Hyetograph in Northern Taiwan

葉惠中(Hui-Chung Yeh) ； 林慶昀(Chin-Yu Lin)

《私立中國文化大學地理研究報告》 15期 (2002/05) Pp. 123-135

https://doi.org/10.7110/RGS.200205.0123

摘要

本研究應用多變量統計分析方法探討台灣北部地區設計暴雨雨型之特性。研究中採用具尺度不變性高斯馬可夫雨型（Scale-Invariant Gauss-Markov，簡稱SIGM），並將此資料進行多變量統計分析，以主成份分析法萃取出設計雨型之五個主要成份，此五個主成份具有解釋設計雨型總變異數之程度約爲90%。其次，再以此五個主成份進行群集分析，將台灣北部地區雨量站分成三類，並建立均一雨型區域圖。

關鍵字

尺度不變性高斯馬可夫雨型 ； 主成份分析 ； 群集分析

並列摘要

The method of multivariate statistical analysis was applied to study on the characteristics of design hyetograph in Northen Taiwan. In this study, we adopt a Scale-Invariant Gauss-Markov hyetograph that show the maximum likelihood estimator of the dimensionless hyeto graph. There are five significant principal components were extracted which explained total variance about 90%. By using cluster analysis techniques, we demonstrate that a map of three homogeneous regional hyetographs could be developed.

並列關鍵字

Scale-Invariant Gauss-Markov hyetograph ； Principal component analysis ； Cluster analysis

參考文獻

Cheng, K. S.,I. Hueter,E. C. Hsu,H. C. Yeh(2001).A Scale-Invariant Gauss-Markov Model for Design Storm Hyetographs.Journal of the American Water Resources Association.37(3),723-736.

Johnson, R. A.,D. W. Wichern(1982).Applied Multivariate Statistical Analysis.台北:雙葉書廊.

Pilgrim, D. H.,I. Cordery(1975).Rainfall temporal patterns for design floods.Journal of the Hydraulics Division.101(1),81-95.

Yen, B. C.,V. T. Chow(1980).Design hyetographs for small drainage structures.Journal of the Hydraulics Division.106(6),1055-1076.

左承修(1997)。區域洪水頻率分析之研究(碩士論文)。台灣大學土木工程研究所。