Premium
Multifractality of rainfall and scaling of intensity‐duration‐frequency curves
Author(s) -
Veneziano Daniele,
Furcolo Pierluigi
Publication year - 2002
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/2001wr000372
Subject(s) - scaling , multifractal system , intensity (physics) , mathematics , limiting , series (stratigraphy) , statistical physics , moment (physics) , power law , statistics , physics , mathematical analysis , geology , geometry , optics , fractal , mechanical engineering , paleontology , classical mechanics , engineering
We derive scaling properties of the intensity‐duration‐frequency (IDF) curves under the condition that temporal rainfall is a stationary multifractal process. We find that under limiting conditions (very short durations D or very long return periods T), the IDF values are simple scaling with a power law dependence on D and T. The exponents of D and T differ in the two limiting cases of very short D and very long T and can be calculated from the moment scaling function K(q) of the rainfall time series. These theoretical findings differ from those of previous studies. They are validated through direct calculation and analysis of an actual rainfall record.