Bivariate frequency analysis of floods using copulas
學年 95
學期 1
出版（發表）日期 2006-12-01
作品名稱 Bivariate frequency analysis of floods using copulas
作品名稱（其他語言）
著者 蕭政宗; Shiau, Jenq-tzong; Wang, Hsin-yi; Tsai, Chang-tai
單位 淡江大學水資源及環境工程學系
出版者 Wiley-Blackwell
著錄名稱、卷期、頁數 Journal of the American Water Resources Association 42(6), pp.1549-1564
摘要 Bivariate flood frequency analysis offers improved understanding of the complex flood process and useful information in preparing flood mitigation measures. However, difficulties arise from limited bivariate distribution functions available to jointly model the correlated flood peak and volume that have different univariate marginal distributions. Copulas are functions that link univariate distribution functions to form bivariate distribution functions, which can overcome such difficulties. The objective of this study was to analyze bivariate frequency of flood peak and volume using copulas. Separate univariate distributions of flood peak and volume are first fitted from observed data. Copulas are then employed to model the dependence between flood peak and volume and join the predetermined univariate marginal distributions to construct the bivariate distribution. The bivariate probabilities and associated return periods are calculated in terms of univariate marginal distributions and copulas. The advantage of using copulas is that they can separate the effect of dependence from the effects of the marginal distributions. In addition, explicit relationships between joint and univariate return periods are made possible when copulas are employed to construct bivariate distribution of floods. The annual floods of Tongtou flow gauge station in the Jhuoshuei River, Taiwan, are used to illustrate bivariate flood frequency analysis.
關鍵字
語言 en_US
ISSN 1093-474X
期刊性質 國外
收錄於
產學合作
通訊作者
審稿制度 否
國別 USA
公開徵稿
出版型式 ,電子版,紙本
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