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

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