The Dynamic Scaling Structure of the Intensity-Area-Duration-Frequency Relationship
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.
- Publication:
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arXiv e-prints
- Pub Date:
- July 2021
- DOI:
- 10.48550/arXiv.2107.08184
- arXiv:
- arXiv:2107.08184
- Bibcode:
- 2021arXiv210708184P
- Keywords:
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- Nonlinear Sciences - Pattern Formation and Solitons;
- Physics - Data Analysis;
- Statistics and Probability;
- Physics - Geophysics;
- 86-11
- E-Print:
- I found some mistakes to be corrected. I expect to submit another paper much better