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An entropic-stochastic representation of rainfall intermittency: The origin of clustering and persistence

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dc.contributor.author Koutsoyiannis, D en
dc.date.accessioned 2014-03-01T01:23:34Z
dc.date.available 2014-03-01T01:23:34Z
dc.date.issued 2006 en
dc.identifier.issn 0043-1397 en
dc.identifier.uri https://dspace.lib.ntua.gr/xmlui/handle/123456789/17025
dc.subject Stochastic Representation en
dc.subject.classification Environmental Sciences en
dc.subject.classification Limnology en
dc.subject.classification Water Resources en
dc.subject.other Entropy en
dc.subject.other Mathematical models en
dc.subject.other Optimization en
dc.subject.other Probability en
dc.subject.other Clustering en
dc.subject.other Empirical data en
dc.subject.other Persistence en
dc.subject.other Principle of maximum entropy en
dc.subject.other Rain en
dc.subject.other Entropy en
dc.subject.other Mathematical models en
dc.subject.other Optimization en
dc.subject.other Probability en
dc.subject.other Rain en
dc.subject.other entropy en
dc.subject.other precipitation assessment en
dc.subject.other rainfall en
dc.title An entropic-stochastic representation of rainfall intermittency: The origin of clustering and persistence en
heal.type journalArticle en
heal.identifier.primary 10.1029/2005WR004175 en
heal.identifier.secondary http://dx.doi.org/10.1029/2005WR004175 en
heal.identifier.secondary W01401 en
heal.language English en
heal.publicationDate 2006 en
heal.abstract The well-established physical and mathematical principle of maximum entropy, interpreted as maximum uncertainty, is used to explain the observed dependence properties of the rainfall occurrence process, including the clustering behavior and persistence. The conditions used for the maximization of entropy are as simple as possible, i.e., that the rainfall processes is intermittent with dependent occurrences. Intermittency is quantified by the probability that a time interval is dry, and dependence is quantified by the probability that two consecutive intervals are dry. These two probabilities are used as constraints in a multiple-scale entropy maximization framework, which determines any conditional or unconditional probability of any sequence of dry and wet intervals at any timescale. Thus the rainfall occurrence process including its dependence structure is described by only two parameters. This dependence structure appears to be non-Markovian. Application of this theoretical framework to the rainfall data set of Athens indicates good agreement of theoretical predictions and empirical data at the entire range of scales for which probabilities dry and wet can be estimated (from one hour to several months). Copyright 2006 by the American Geophysical Union. en
heal.publisher AMER GEOPHYSICAL UNION en
heal.journalName Water Resources Research en
dc.identifier.doi 10.1029/2005WR004175 en
dc.identifier.isi ISI:000234997000001 en
dc.identifier.volume 42 en
dc.identifier.issue 1 en


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