Deterministic chaos versus stochasticity in analysis and modeling of point rainfall series

Koutsoyiannis, D; Pachakis, D

dc.contributor.author	Koutsoyiannis, D	en
dc.contributor.author	Pachakis, D	en
dc.date.accessioned	2014-03-01T01:11:53Z
dc.date.available	2014-03-01T01:11:53Z
dc.date.issued	1996	en
dc.identifier.issn	0148-0227	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11842
dc.subject	Chaotic Behavior	en
dc.subject	Correlation Dimension	en
dc.subject	Deterministic Chaos	en
dc.subject	Nonlinear Analysis	en
dc.subject	Seasonality	en
dc.subject	Stochastic Model	en
dc.subject	Synthetic Data	en
dc.subject	Time Delay	en
dc.subject	Time Series	en
dc.subject	Dry Period	en
dc.subject.classification	Meteorology & Atmospheric Sciences	en
dc.subject.other	chaos	en
dc.subject.other	rainfall data	en
dc.subject.other	rainfall model	en
dc.subject.other	stochastic model	en
dc.subject.other	synthetic data	en
dc.title	Deterministic chaos versus stochasticity in analysis and modeling of point rainfall series	en
heal.type	journalArticle	en
heal.identifier.primary	10.1029/96JD01389	en
heal.identifier.secondary	http://dx.doi.org/10.1029/96JD01389	en
heal.language	English	en
heal.publicationDate	1996	en
heal.abstract	The differences between historic rainfall data and synthetic data obtained by a stochastic rainfall model are investigated using nonlinear analysis tools devised for description and characterization of chaotic behavior. To achieve this goal, a 6-year point rainfall record with a time resolution of one quarter of hour is studied. A stochastic model capable of preserving important properties of the rainfall process, such as intermittency, seasonality and scaling behavior, is fitted to this data set and a synthetic time series of equal length is generated. For both data sets the correlation dimension is calculated for various embedding dimensions by the time delay embedding method. However, the applicability of this method in estimating dimensions proves limited due to the domination of voids (dry periods) in a rainfall record at a fine time resolution. Thus, in addition to time delay embedding, a Cantorian dust analogue method is developed and used to estimate dimensions. Results of both methods show that there is no substantial difference in behavior between the synthetic and the historic records. Moreover, no evidence of low-dimensional determinism is detected in the sets examined.	en
heal.publisher	AMER GEOPHYSICAL UNION	en
heal.journalName	Journal of Geophysical Research D: Atmospheres	en
dc.identifier.doi	10.1029/96JD01389	en
dc.identifier.isi	ISI:A1996VW42100024	en
dc.identifier.volume	101	en
dc.identifier.issue	21	en
dc.identifier.spage	26441	en
dc.identifier.epage	26451	en