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Multifractals and extreme rainfall events
Author(s) -
Hubert P.,
Tessier Y.,
Lovejoy S.,
Schertzer D.,
Schmitt F.,
Ladoy P.,
Carbonnel J. P.,
Violette S.,
Desurosne I.
Publication year - 1993
Publication title -
geophysical research letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.007
H-Index - 273
eISSN - 1944-8007
pISSN - 0094-8276
DOI - 10.1029/93gl01245
Subject(s) - multifractal system , scaling , extreme value theory , statistical physics , environmental science , function (biology) , climatology , mathematics , geology , statistics , fractal , physics , mathematical analysis , biology , geometry , evolutionary biology
Based on a multifractal structure hypothesis for temporal rainfall processes, a general formula relating maximum possible point rainfall accumulations is derived as a function of the duration and sample size. This formula appears to be in agreement with empirical observations. Such a result may reconcile some opposite points of view regarding extreme rainfall events, and suggests new ways of exploiting the scaling properties of rain processes.