12 – Water Quality Analysis
Abstract This chapter discusses how to apply copulas in water quality analysis. For monthly water quality observations, applications will include (i) a copula-based Markov process to study the water quality…
13 – Drought Analysis
Abstract In this chapter, we focus on the copula applications to at-site bivariate/trivariate drought analysis. In a case study, drought variables are separated from long-term daily streamflow series, i.e., drought…
11 – Flood Frequency Analysis
Abstract In this chapter, copula modeling is applied to flood analysis with the use of real-world flood data. The chapter is structured in the following sections: (i) an introduction; (ii)…
16 – Suspended Sediment Yield Analysis
Abstract In the previous chapters, we have briefly introduced applications of copulas to analyses of rainfall, streamflow, drought, water quality, and compound extremes, as well as network design. In this…
17 – Interbasin Transfer
Abstract In this chapter, we will introduce the last application of the book, i.e., interbasin transfer. In this process, there are two main components: donor and receiver basins. The purpose…
14 – Compound Extremes
Abstract In this chapter, the copula modeling is applied to analyze compound extremes. The number of warm days (NWDs) and monthly precipitation are applied for the case study. The time-varying…
15 – Network Design
Abstract In this chapter, we apply copulas to network evaluation and design. The network is considered to be comprised of rain gauges that are located in the southwest (seven gauges)…
10 – Rainfall Frequency Analysis
Abstract 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)…
7 – Non-Archimedean Copulas
Abstract Meta-elliptical copulas are derived from elliptical distributions. Kotz and Nadarajah (2001) and Nadarajah (2006) made solutions of meta-elliptical copulas available. In this chapter, we will review the definition and…
5 – Asymmetric Copulas
Abstract Much of the literature on copulas, discussed in the previous chapters, is limited to the bivariate cases. The Gaussian and student copulas have been commonly applied to model the…