Preservation of rainfall properties in stochastic disaggregation by a simple random cascade model

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Rainfall downscaling in time: theoretical and empirical comparison between multifractal and Hurst-Kolmogorov discrete random cascades (2012, methodology): “…random cascade (MRC) models to construct discrete multifractal fields, which are extensively used in the literature (e.g., Gupta and Waymire 1993, Over and Gupta 1996, Menabde and Sivapalan 2000, Molnar and Burlando 2005, Gaume et al. 2007, Rupp et al. 2009, Serinaldi 2010, Licznar et al. 2011).”
Multifractality, imperfect scaling and hydrological properties of rainfall time series simulated by continuous universal multifractal and discrete random cascade models (2010, methodology): “…fractal dimension of the series, whereas the distributionG of the positive weights is often assumed to be lognormal (e.g.,Gupta and Waymire, 1993; Molnar and Burlando, 2005), log-Poisson (e.g.,Deidda et al., 1999, 2006; Deidda, 2000; Onof et al., 2005; Sivakumar and Sharma, 2008; Mascaro et al.,…”