Copulas and Its Application in Hydrology and Water Resources

This book provides an overview of copula theory and its application in hydrology, offering valuable insights, methods, and practical applications for multivariate hydrological analysis. It covers specific applications such as flood frequency analysis, drought frequency analysis, dependence analysis, flood coincidence risk analysis, and statistical simulation using copulas. It is a valuable resource for researchers, scientists, and engineers in hydrology and water resources, and graduate or doctoral students interested in learning about the latest research developments in the field.

Format: Hardback
Length: 290 pages
Publication date: 12 July 2018
Publisher: Springer Verlag, Singapore

This comprehensive book delves into the realm of copula theory, providing a comprehensive overview of its applications in hydrology. It offers valuable insights, practical methods, and practical applications for multivariate hydrological analysis utilizing copulas. Moreover, it extends the traditional bivariate model to trivariate or multivariate models, enabling a more comprehensive understanding of hydrological phenomena. The book's specific applications encompass the study of flood frequency analysis, drought frequency analysis, dependence analysis, flood coincidence risk analysis, and statistical simulation using copulas. It serves as a valuable resource for researchers, scientists, and engineers engaged in hydrology and water resources, as well as graduate or doctoral students with a foundational understanding of copula functions who seek to delve into the latest research developments in this field.

Introduction:
Copula theory is a branch of statistics that deals with the dependence structure between random variables. It has gained significant attention in recent years due to its ability to model complex relationships between variables and handle various types of data, including non-normal and asymmetric distributions. In hydrology, copula theory has been applied to various aspects of water resources management, such as flood frequency analysis, drought frequency analysis, dependence analysis, flood coincidence risk analysis, and statistical simulation using copulas.

Chapter 1:
In this chapter, the authors provide an introduction to copula theory and its applications in hydrology. They discuss the basic concepts of copulas, including their definition, properties, and types. They also highlight the importance of copulas in modeling multivariate hydrological data, where the dependence between variables is more complex than in bivariate analysis.

Chapter 2:
Chapter 2 focuses on the application of copula theory in flood frequency analysis. The authors discuss the principles of flood frequency analysis and the challenges associated with it. They introduce different copula models, such as Gaussian copulas, Clayton copulas, and extreme value copulas, and discuss their advantages and disadvantages. The chapter also includes practical examples of flood frequency analysis using real-world data sets.

Chapter 3:
Chapter 3 explores the application of copula theory in drought frequency analysis. The authors discuss the principles of drought frequency analysis and the factors that influence drought occurrence. They introduce different copula models, such as Gumbel copulas, Fréchet copulas, and copulas with dependent variables, and discuss their advantages and disadvantages. The chapter also includes practical examples of drought frequency analysis using real-world data sets.

Chapter 4:
Chapter 4 focuses on the application of copula theory in dependence analysis. The authors discuss the principles of dependence analysis and the challenges associated with it. They introduce different copula models, such as bivariate copulas, multivariate copulas, and copulas with dependent variables, and discuss their advantages and disadvantages. The chapter also includes practical examples of dependence analysis using real-world data sets.

Chapter 5:
Chapter 5 explores the application of copula theory in flood coincidence risk analysis. The authors discuss the principles of flood coincidence risk analysis and the factors that influence flood coincidence. They introduce different copula models, such as copulas with dependent variables and copulas with marginal distributions, and discuss their advantages and disadvantages. The chapter also includes practical examples of flood coincidence risk analysis using real-world data sets.

Chapter 6:
Chapter 6 discusses the application of copula theory in statistical simulation using copulas. The authors discuss the principles of statistical simulation using copulas and the advantages of using copulas over traditional statistical methods. They introduce different copula models, such as Gaussian copulas, Clayton copulas, and extreme value copulas, and discuss their applications in hydrological simulation. The chapter also includes practical examples of statistical simulation using copulas.

Conclusion:
In conclusion, this book provides a comprehensive overview of copula theory and its applications in hydrology. It offers valuable insights, practical methods, and practical applications for multivariate hydrological analysis utilizing copulas. The book extends the traditional bivariate model to trivariate or multivariate models, enabling a more comprehensive understanding of hydrological phenomena. The specific applications covered include the study of flood frequency analysis, drought frequency analysis, dependence analysis, flood coincidence risk analysis, and statistical simulation using copulas. The book serves as a valuable resource for researchers, scientists, and engineers engaged in hydrology and water resources, as well as graduate or doctoral students with a foundational understanding of copula functions who seek to delve into the latest research developments in this field.

Weight: 606g
Dimension: 242 x 159 x 25 (mm)
ISBN-13: 9789811305733
Edition number: 1st ed. 2019