Uncertainty, entropy, scaling and hydrological stochastics. 2. Time dependence of hydrological processes and time scaling

Koutsoyiannis, D

dc.contributor.author	Koutsoyiannis, D	en
dc.date.accessioned	2014-03-01T01:23:18Z
dc.date.available	2014-03-01T01:23:18Z
dc.date.issued	2005	en
dc.identifier.issn	0262-6667	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16887
dc.subject	Entropy	en
dc.subject	Fractional Gaussian noise	en
dc.subject	Hurst phenomenon	en
dc.subject	Hydrological persistence	en
dc.subject	Hydrological prediction	en
dc.subject	Hydrological statistics	en
dc.subject	Long-range dependence	en
dc.subject	Power laws	en
dc.subject	Risk	en
dc.subject	Scaling	en
dc.subject	Uncertainty	en
dc.subject.classification	Water Resources	en
dc.subject.other	Correlation methods	en
dc.subject.other	Entropy	en
dc.subject.other	Maximum principle	en
dc.subject.other	Random processes	en
dc.subject.other	Time series analysis	en
dc.subject.other	Hydrological processes	en
dc.subject.other	Hydrological stochastics	en
dc.subject.other	Marginal distribution	en
dc.subject.other	Maximum entropy (ME)	en
dc.subject.other	Hydrology	en
dc.subject.other	entropy	en
dc.subject.other	hydrological modeling	en
dc.subject.other	power law	en
dc.subject.other	stochasticity	en
dc.title	Uncertainty, entropy, scaling and hydrological stochastics. 2. Time dependence of hydrological processes and time scaling	en
heal.type	journalArticle	en
heal.identifier.primary	10.1623/hysj.50.3.405.65028	en
heal.identifier.secondary	http://dx.doi.org/10.1623/hysj.50.3.405.65028	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	The well-established physical and mathematical principle of maximum entropy (ME), is used to explain the distributional and autocorrelation properties of hydrological processes, including the scaling behaviour both in state and in time. In this context, maximum entropy is interpreted as maximum uncertainty. The conditions used for the maximization of entropy are as simple as possible, i.e. that hydrological processes are non-negative with specified coefficients of variation and lag-one autocorrelation. In the first part of the study, the marginal distributional properties of hydrological processes and the state scaling behaviour were investigated. This second part of the study is devoted to joint distributional properties of hydrological processes. Specifically, it investigates the time dependence structure that may result from the ME principle and shows that the time scaling behaviour (or the Hurst phenomenon) may be obtained by this principle under the additional general condition that all time scales are of equal importance for the application of the ME principle. The omnipresence of the time scaling behaviour in numerous long hydrological time series examined in the literature (one of which is used here as an example), validates the applicability of the ME principles, thus emphasizing the dominance of uncertainty in hydrological processes. Copyright © 2005 IAHS Press.	en
heal.publisher	IAHS PRESS, INST HYDROLOGY	en
heal.journalName	Hydrological Sciences Journal	en
dc.identifier.doi	10.1623/hysj.50.3.405.65028	en
dc.identifier.isi	ISI:000229683900002	en
dc.identifier.volume	50	en
dc.identifier.issue	3	en
dc.identifier.spage	405	en
dc.identifier.epage	426	en