Rainfall Frequency Analysis

Lan Zhang; V. P. Singh

doi:10.1017/9781108565103.011

10 - Rainfall Frequency Analysis

from Part Two - Applications

Published online by Cambridge University Press: 03 January 2019

Lan Zhang and

V. P. Singh

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Lan Zhang: Affiliation:
Texas A & M University
V. P. Singh: Affiliation:
Texas A & M University

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Summary

In this chapter, we will illustrate the application of copulas in rainfall frequency analysis. This chapter is divided into two parts: (1) rainfall depth-duration frequency (DDF) analysis; and (2) multivariate rainfall frequency (i.e., four-dimensional) analysis. The rainfall data from the watersheds in the United States are collected and applied for analyses. The Archimedean, meta-elliptical, and vine copulas are applied to model the dependence among rainfall variables. Application shows that the DDF may be modeled by the Gumbel–Hougaard copula. Both vine and meta-elliptical copulas may be applied to model the spatial dependence of rainfall variables. Compared to the vine copula, modeling is easier to do when applying the meta-elliptical copula.

Type: Chapter
Information: Copulas and their Applications in Water Resources Engineering , pp. 367 - 395

DOI: https://doi.org/10.1017/9781108565103.011 [Opens in a new window]

Publisher: Cambridge University Press

Print publication year: 2019

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