Rainfall downscaling in time: Theoretical and empirical comparison between multifractal and Hurst-Kolmogorov discrete random cascades [Descente d'échelle temporelle des précipitations: Comparaison théorique et empirique entre multifractales et cascades aléatoires discrètes de Hurst-Kolmogorov]

Lombardo, F; Volpi, E; Koutsoyiannis, D

dc.contributor.author	Lombardo, F	en
dc.contributor.author	Volpi, E	en
dc.contributor.author	Koutsoyiannis, D	en
dc.date.accessioned	2014-03-01T02:12:04Z
dc.date.available	2014-03-01T02:12:04Z
dc.date.issued	2012	en
dc.identifier.issn	02626667	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/30005
dc.subject	discrete random cascades	en
dc.subject	ensemble statistical behaviour	en
dc.subject	Hurst-Kolmogorov process	en
dc.subject	multifractals	en
dc.subject	rainfall downscaling	en
dc.subject	stationarity	en
dc.subject.other	ensemble statistical behaviour	en
dc.subject.other	Hurst-Kolmogorov process	en
dc.subject.other	Multifractals	en
dc.subject.other	Rainfall downscaling	en
dc.subject.other	Random cascades	en
dc.subject.other	Stationarity	en
dc.subject.other	Fractals	en
dc.subject.other	Random processes	en
dc.subject.other	Time series	en
dc.subject.other	Rain	en
dc.subject.other	comparative study	en
dc.subject.other	downscaling	en
dc.subject.other	empirical analysis	en
dc.subject.other	Monte Carlo analysis	en
dc.subject.other	numerical model	en
dc.subject.other	precipitation assessment	en
dc.subject.other	rainfall	en
dc.subject.other	stochasticity	en
dc.subject.other	theoretical study	en
dc.subject.other	time series	en
dc.title	Rainfall downscaling in time: Theoretical and empirical comparison between multifractal and Hurst-Kolmogorov discrete random cascades [Descente d'échelle temporelle des précipitations: Comparaison théorique et empirique entre multifractales et cascades aléatoires discrètes de Hurst-Kolmogorov]	en
heal.type	journalArticle	en
heal.identifier.primary	10.1080/02626667.2012.695872	en
heal.identifier.secondary	http://dx.doi.org/10.1080/02626667.2012.695872	en
heal.publicationDate	2012	en
heal.abstract	During recent decades, intensive research has focused on techniques capable of generating rainfall time series at a fine time scale that are (fully or partially) consistent with a given series at a coarser time scale. Here we theoretically investigate the consequences on the ensemble statistical behaviour caused by the structure of a simple and widely-used approach of stochastic downscaling for rainfall time series, the discrete Multiplicative Random Cascade. We show that synthetic rainfall time series generated by these cascade models correspond to a stochastic process which is non-stationary, because its temporal autocorrelation structure depends on the position in time in an undesirable manner. Then, we propose and theoretically analyse an alternative downscaling approach based on the Hurst-Kolmogorov process, which is equally simple but is stationary. Finally, we provide Monte Carlo experiments which validate our theoretical results. © 2012 Copyright 2012 IAHS Press.	en
heal.journalName	Hydrological Sciences Journal	en
dc.identifier.doi	10.1080/02626667.2012.695872	en
dc.identifier.volume	57	en
dc.identifier.issue	6	en
dc.identifier.spage	1052	en
dc.identifier.epage	1066	en