Scaling behavior of high resolution temporal rainfall: New insights from a wavelet-based cumulant analysis

V. Venugopal, Stéphane G. Roux, Efi Foufoula-Georgiou, Alain Arnéodo

Research output: Contribution to journalArticlepeer-review

29 Scopus citations


We revisit the multifractal analysis of high resolution temporal rainfall using the wavelet transform modulus maxima (WTMM) method. Specifically, we employ a cumulant analysis of the logarithm of the WTMM coefficients to estimate the scaling exponent spectrum τ(q) and the spectrum of singularities D(h). We document that rainfall intensity fluctuations exhibit multifractality from scales of the order of 4-5 minutes up to the storm-pulse duration of 1-2 hours. We also establish long-range dependence consistent with that of a multiplicative cascade.

Original languageEnglish (US)
Pages (from-to)335-345
Number of pages11
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number3-6
StatePublished - Jan 2 2006

Bibliographical note

Funding Information:
This work was partially supported by NSF (grant ATM-0130394) and NASA (grant NAG5-12909 and NAG5-13639) to E.F.G., and NSF (EAR-0120914) as part of the National Center for Earth-Surface Dynamics (NCED) at the University of Minnesota. The data were collected at the Hydro-Meteorology Lab of the Iowa Institute of Hydraulic Research, under the supervision of Konstantine Georgakakos. We thank Anton Kruger for his help with the data. Computational resources were provided by the Minnesota Supercomputing Institute, Digital Technology Center, at the University of Minnesota.


  • Multifractal
  • Multiplicative cascades
  • Precipitation
  • Scaling
  • Wavelets


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