Book contents
- Copulas and Their Applications in Water Resources Engineering
- Copulas and Their Applications in Water Resources Engineering
- Copyright page
- Dedication
- Contents
- Preface
- Acknowledgments
- Part One Theory
- Part Two Applications
- 10 Rainfall Frequency Analysis
- 11 Flood Frequency Analysis
- 12 Water Quality Analysis
- 13 Drought Analysis
- 14 Compound Extremes
- 15 Network Design
- 16 Suspended Sediment Yield Analysis
- 17 Interbasin Transfer
- Index
- References
10 - Rainfall Frequency Analysis
from Part Two - Applications
Published online by Cambridge University Press: 03 January 2019
- Copulas and Their Applications in Water Resources Engineering
- Copulas and Their Applications in Water Resources Engineering
- Copyright page
- Dedication
- Contents
- Preface
- Acknowledgments
- Part One Theory
- Part Two Applications
- 10 Rainfall Frequency Analysis
- 11 Flood Frequency Analysis
- 12 Water Quality Analysis
- 13 Drought Analysis
- 14 Compound Extremes
- 15 Network Design
- 16 Suspended Sediment Yield Analysis
- 17 Interbasin Transfer
- Index
- References
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.
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- Copulas and their Applications in Water Resources Engineering , pp. 367 - 395Publisher: Cambridge University PressPrint publication year: 2019