Multifractals and Physically Based Estimates of Extreme Floods

The overall goal of this project is to better (statistically) predict floods using a physically based approach, established on systems which respect scale symmetry over a wide range of space-time scales. In addition, this project aims to determine the relationship between flood magnitude and return period for a wide range of aggregation periods. Previous phases of this report have focused on developing this theory and demonstrating it on a data series. This phase of the project consisted of creating MATLAB versions of the software that performs the analysis and writing examples of how to use them. The main objective of this phase is to explain how to use software developed in MATLAB for the purpose of flood frequency analysis.

Keywords: Flood frequency analysis, Extreme events, Scaling, Software