ABSTRACT
This work presents a stochastic framework for the construction of rainfall intensity–time scale–return period relationships, which was applied in the recent regionalization of design rainfall curves over the Greek territory, described in a companion paper. The methodology outlined herein builds upon a widely-used mathematical framework, which has been recently revisited and upgraded, and incorporates two different versions: (a) a theoretically consistent stochastic model applicable for rainfall intensity over any scale of interest; and (b) a simplified version valid over small scales, which makes parameter estimation easier. Special attention is given to the presentation of the simplified version, which suffices for most engineering tasks. Parameter estimation approaches are presented in detail, including the K-moments framework that allows for reliable high-order moment estimation and handling of bias due to spatiotemporal dependence.
Editor A. Castellarin; Associate Editor E. Volpi
Editor A. Castellarin; Associate Editor E. Volpi
Acknowledgements
We are grateful to the Associate Editor Elena Volpi and two anonymous reviewers for their comments which helped us to improve the manuscript.
Disclosure statement
No potential conflict of interest was reported by the author(s).
Data availability statement
The PythOm package may be used to apply the all-scale version of the ombrian model (Iliopoulou and Koutsoyiannis Citation2021).