Imperfect scaling of time and space–time rainfall

By Daniele Veneziano, P. Furcolo, Vito Iacobellis. 2006

64 citations recorded by the source corpus.

Subfields: Economics and Econometrics, Global and Planetary Change

View Paper: https://www.semanticscholar.org/paper/100a15730c582a11268e1b4636842f95d19f9f8f

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Citations in the corpus

Multifractality, imperfect scaling and hydrological properties of rainfall time series simulated by continuous universal multifractal and discrete random cascade models (2010, methodology): “Since conditioning the weights to intensity results in biased estimates of the model parameters,Veneziano et al. (2006) suggested an iterative estimation procedure.”
The areal reduction factor: A multifractal analysis (2005, background): “[45] Several studies have found that rainfall may indeed be represented by a multiplicative cascade, but the amplitude of the fluctuation Yj decreases as the cascade level j increases [see, e.g., Perica and Foufoula-Georgiou, 1996; Menabde et al., 1997; Menabde and Sivapalan, 2000; Veneziano et al.,”
Time scale and intensity dependency in multiplicative cascades for temporal rainfall disaggregation (2009, methodology): “…1998; Güntner et al., 2001; Veneziano et al., 2006a], spatial rainfall fields [Over and Gupta, 1994] and in space-time [Deidda, 2000; Deidda et al., 2004, 2006; Veneziano et al., 2006a], though some have claimed intensity independence in temporal rainfall [e.g., Venugopal et al., 1999, Figure 3].”
Just two moments! A cautionary note against use of high-order moments in multifractal models in hydrology (2013, background): “…whether rainfall indeed obeys scaling laws, what those laws are, and whether they have some degree of universality (Nykanen and Harris, 2003; Veneziano et al., 2006; Molnar and Burlando, 2008; Molini et al., 2009; Serinaldi, 2010; Verrier et al., 2010, 2011; Gires et al., 2012; Veneziano…”
New asymptotic and preasymptotic results on rainfall maxima from multifractal theory (2009, background): “The latter include variations in the multifractal parameters (Cb, CLN, D) and deviations from strict scale invariance [see, e.g., Menabde et al., 1997; Schmitt et al., 1998; Olsson, 1998; Gu¨ntner et al., 2001; Veneziano et al., 2006b; Veneziano and Langousis, 2009].”