The Dynamic Scaling Structure of the Intensity-Area-Duration-Frequency Relationship

TL;DR

This paper introduces a geometric and dynamic scaling approach to analyze the complex space-time structure of extreme rainfall events, improving understanding of the intensity-area-duration-frequency relationship for better hydrologic risk assessment.

Contribution

It presents a novel geometric and dynamic scaling framework for the IADF relationship, addressing limitations of existing statistical methods across observational scales.

Findings

Proposes a geometric approach to IADF analysis.

Introduces codimension functions and dynamic scaling theory.

Enhances understanding of rainfall space-time structure.

Abstract

Changing climate signals and the continuous world population growth requires proper hydrologic risk analysis to build and operate water resource infrastructures in a sustainable way. Although modernized computational facilities are becoming popular to understand complex systems, there is not a proper approach for the space - time analysis of extreme rainfall events. Many statistical approaches have been suggested to describe the space-time structure of rainfall; nevertheless, none of them is good enough to represent, for all observational scales, the geometrical structure observed in either rainfall time series or rainfall-derived spatial fields. This research presents a geometric approach to understand the intensity - area - duration - frequency (IADF) relationship without losing information or statistical assumptions. Moreover, this study introduces a promising conceptualization about how understand the space-time structure of rainfall via codimension functions and dynamic scaling theory.