A mathematical framework for studying rainfall intensity-duration-frequency relationships

Koutsoyiannis, D; Kozonis, D; Manetas, A

dc.contributor.author	Koutsoyiannis, D	en
dc.contributor.author	Kozonis, D	en
dc.contributor.author	Manetas, A	en
dc.date.accessioned	2014-03-01T01:13:31Z
dc.date.available	2014-03-01T01:13:31Z
dc.date.issued	1998	en
dc.identifier.issn	0022-1694	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12535
dc.subject	Flood design	en
dc.subject	Flood risk	en
dc.subject	Hydrologic statistics	en
dc.subject	Rainfall intensity	en
dc.subject.classification	Engineering, Civil	en
dc.subject.classification	Geosciences, Multidisciplinary	en
dc.subject.classification	Water Resources	en
dc.subject.other	Floods	en
dc.subject.other	Hydrology	en
dc.subject.other	Risk assessment	en
dc.subject.other	Risks	en
dc.subject.other	Statistics	en
dc.subject.other	Rainfall intensity	en
dc.subject.other	Rain	en
dc.subject.other	mathematical model	en
dc.subject.other	rainfall processes	en
dc.title	A mathematical framework for studying rainfall intensity-duration-frequency relationships	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0022-1694(98)00097-3	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0022-1694(98)00097-3	en
heal.language	English	en
heal.publicationDate	1998	en
heal.abstract	A general formula for the rainfall intensity-duration-frequency (idf) relationship, consistent with the theoretical probabilistic foundation of the analysis of rainfall maxima is proposed. Specific forms of this formula are explicitly derived from the underlying probability distribution function of maximum intensities. Several appropriate distribution functions are studied for that purpose. Simple analytical approximations of the most common distribution functions are presented, which are incorporated in, and allow mathematically convenient expressions of idf relationships. Also, two methods for a reliable parameter estimation of idf relationships are proposed. The proposed formulation of idf relationships constitutes an efficient parameterisation, facilitating the description of the geographical variability and regionalisation of idf curves. Moreover, it allows incorporating data from non-recording stations, thus remedying the problem of establishing idf curves in places with a sparse network of rain-recording stations, using data of the denser network of non-recording stations. Case studies, based on data of a significant part of Greece, briefly presented in the paper, clarify the methodology for the construction and regionalisation of the idf relationship.A general formula for the rainfall intensity-duration-frequency (idf) relationship, consistent with the theoretical probabilistic foundation of the analysis of rainfall maxima is proposed. Specific forms of this formula are explicitly derived from the underlying probability distribution function of maximum intensities. Several appropriate distribution functions are studied for that purpose. Simple analytical approximations of the most common distribution functions are presented, which are incorporated in, and allow mathematically convenient expressions of idf relationships. Also, two methods for a reliable parameter estimation of idf relationships are proposed. The proposed formulation of idf relationships constitutes an efficient parameterization, facilitating the description of the geographical variability and regionalisation of idf curves. Moreover, it allows incorporating data from non-recording stations, thus remedying the problem of establishing idf curves in places with a sparse network of rain-recording stations, using data of the denser network of non-recording stations. Case studies, based on data of a significant part of Greece, briefly presented in the paper, clarify the methodology for the construction and regionalisation of the idf relationship.	en
heal.publisher	Elsevier Sci B.V., Amsterdam, Netherlands	en
heal.journalName	Journal of Hydrology	en
dc.identifier.doi	10.1016/S0022-1694(98)00097-3	en
dc.identifier.isi	ISI:000074032400009	en
dc.identifier.volume	206	en
dc.identifier.issue	1-2	en
dc.identifier.spage	118	en
dc.identifier.epage	135	en