Modeling of rainfall time series and extremes using bounded random cascades and levy‐stable distributions

By M. Menabde, Murugesu Sivapalan. 2000

153 citations recorded by the source corpus.

Subfields: Atmospheric Science, Global and Planetary Change

View Paper: https://www.semanticscholar.org/paper/be89f046a39a96c6fda3889c6a703170dd236980

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Citations in the corpus

Generalized binomial multiplicative cascade processes and asymmetrical multifractal distributions (2014, background): “Therefore, MCP has been extensively discussed in the literature (e.g., Gupta and Waymire, 1993; Over and Gupta, 1996; Menabde and Sivapalan, 2000; Serinaldi, 2010).”
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.,”
Marginal methods of intensity‐duration‐frequency estimation in scaling and nonscaling rainfall (2007, background): “Outside the scaling range, the fluctuations of rainfall intensity are generally smaller than under multifractality [Fraedrich and Larnder, 1993; Olsson, 1995; Onof et al., 1996; Menabde et al., 1997; de Lima and Grasman, 1999; Menabde and Sivapalan, 2000].”
Stochastic generation of annual, monthly and daily climate data: A review (2001, methodology): “Recently, Menabde and Sivapalan (2000) used Levystable distributions to fit the storm duration and rainfall totals.”
Multiscaling pulse representation of temporal rainfall (2002, methodology): “For this purpose one may generate the pulse amplitudes in the IRP model using bounded cascades [Menabde et al., 1997, Menabde and Sivapalan, 2000], in which the dispersion of the cascade generator is progressively reduced as the resolution level increases.”
Revisiting multifractality of high‐resolution temporal rainfall using a wavelet‐based formalism (2005, background): “…1996; Veneziano et al., 1996; Cârsteanu and FoufoulaGeorgiou, 1996; Venugopal and Foufoula-Georgiou, 1996; Harris et al., 1998; Deidda et al., 1999; Menabde and Sivapalan, 2000] (see also Foufoula-Georgiou [1997] for a review) have been influenced by statistical theories of turbulence aiming at…”
Time scale and intensity dependency in multiplicative cascades for temporal rainfall disaggregation (2009, methodology): “However, the total number of parameters for our most successful model was only six, which is equal to, or fewer than, other rainfall models that do not consider the dual dependency on time scale and intensity [Olsson, 1998; Menabde and Sivapalan, 2000; Güntner et al., 2001; Veneziano and Iacobellis,”
Multifractality and rainfall extremes: A review (2006, background): “This is why the evaluation of rainfall extremes, which is commonly embodied in the intensity-duration-frequency (IDF) and intensityduration-area-frequency (IDAF) curves, has been a major focus of theoretical and applied hydrology for many decades [Sherman, 1931; Bernard, 1932; Eagleson, 1970; Chow e”
Multifractality, imperfect scaling and hydrological properties of rainfall time series simulated by continuous universal multifractal and discrete random cascade models (2010, background): “Cascade weights have been found to be dependent on scale (Veneziano et al., 1996; Menabde et al., 1997; Menabde and Sivapalan, 2000; Molnar and Burlando, 2005; Paulson and Baxter, 2007), on covariates such as large-scale rainfall intensity (Over and Gupta, 1994, 1996; Deidda, 2000; Molnar and…”
A continuous rainfall model based on vine copulas (2015, unknown): “Therefore, several rainfall modelling approaches have been proposed during the last decades (e.g. Kavvas and Delleur, 1981; Rodriguez-Iturbe et al., 1987a, b; Katz and Parlange, 1998; Menabde and Sivapalan, 2000; Willems, 2001; Evin and Favre, 2008; Gyasi-Agyei, 2011; Viglione et al., 2012), which c”
Rainfall downscaling in time: theoretical and empirical comparison between multifractal and Hurst-Kolmogorov discrete random cascades (2012, methodology): “In the literature, bounded random cascades have been frequently applied to the stochastic fine graining of rainfall observations into high resolution data both in the canonical and microcanonical form (e.g. Menabde et al. 1997, Menabde and Sivapalan 2000, Rupp et al. 2009, Licznar et al. 2011).”