Two-dimensional Hurst-Kolmogorov process and its application to rainfall fields

Koutsoyiannis, D; Paschalis, A; Theodoratos, N

dc.contributor.author	Koutsoyiannis, D	en
dc.contributor.author	Paschalis, A	en
dc.contributor.author	Theodoratos, N	en
dc.date.accessioned	2014-03-01T01:37:30Z
dc.date.available	2014-03-01T01:37:30Z
dc.date.issued	2011	en
dc.identifier.issn	0022-1694	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21528
dc.subject	Hurst-Kolmogorov dynamics	en
dc.subject	Hydrometeorology	en
dc.subject	Rainfall fields	en
dc.subject	Random fields	en
dc.subject	Stochastic processes	en
dc.subject	Stochastic simulation	en
dc.subject.classification	Engineering, Civil	en
dc.subject.classification	Geosciences, Multidisciplinary	en
dc.subject.classification	Water Resources	en
dc.subject.other	Hurst-Kolmogorov dynamics	en
dc.subject.other	Hydrometeorology	en
dc.subject.other	Rainfall fields	en
dc.subject.other	Random fields	en
dc.subject.other	Stochastic process	en
dc.subject.other	Stochastic simulations	en
dc.subject.other	Computational complexity	en
dc.subject.other	Hydrology	en
dc.subject.other	Meteorology	en
dc.subject.other	Parameter estimation	en
dc.subject.other	Rain	en
dc.subject.other	Random processes	en
dc.subject.other	Stochastic models	en
dc.subject.other	Time series	en
dc.subject.other	Two dimensional	en
dc.subject.other	Stochastic systems	en
dc.subject.other	geophysical method	en
dc.subject.other	hydrometeorology	en
dc.subject.other	precipitation (climatology)	en
dc.subject.other	rainfall	en
dc.subject.other	spatial analysis	en
dc.subject.other	stochasticity	en
dc.subject.other	temporal evolution	en
dc.subject.other	time series	en
dc.subject.other	topography	en
dc.subject.other	two-dimensional modeling	en
dc.title	Two-dimensional Hurst-Kolmogorov process and its application to rainfall fields	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.jhydrol.2010.12.012	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.jhydrol.2010.12.012	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	The Hurst-Kolmogorov (HK) dynamics has been well established in stochastic representations of the temporal evolution of natural processes, yet many regard it as a puzzle or a paradoxical behaviour. As our senses are more familiar with spatial objects rather than time series, understanding the HK behaviour becomes more direct and natural when the domain of our study is no longer the time but the two-dimensional space. Therefore, here we detect the presence of HK behaviour in spatial hydrological and generally geophysical fields including Earth topography, and precipitation and temperature fields. We extend the one-dimensional HK process into two dimensions and we provide exact relationships of its basic statistical properties and closed approximations thereof. We discuss the parameter estimation problem, with emphasis on the associated uncertainties and biases. Finally, we propose a two-dimensional stochastic generation scheme, which can reproduce the HK behaviour and we apply this scheme to generate rainfall fields, consistent with the observed ones. (C) 2010 Elsevier B.V. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE BV	en
heal.journalName	Journal of Hydrology	en
dc.identifier.doi	10.1016/j.jhydrol.2010.12.012	en
dc.identifier.isi	ISI:000287267600008	en
dc.identifier.volume	398	en
dc.identifier.issue	1-2	en
dc.identifier.spage	91	en
dc.identifier.epage	100	en