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Regional estimation of rainfall intensity‐duration‐frequency curves using generalized least squares regression of partial duration series statistics
Author(s) -
Madsen Henrik,
Mikkelsen Peter Steen,
Rosbjerg Dan,
Harremoës Poul
Publication year - 2002
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/2001wr001125
Subject(s) - statistics , mathematics , regression analysis , series (stratigraphy) , regression , rain gauge , moment (physics) , extreme value theory , duration (music) , intensity (physics) , generalized extreme value distribution , meteorology , geography , precipitation , geology , art , paleontology , physics , literature , classical mechanics , quantum mechanics
A general framework for regional analysis and modeling of extreme rainfall characteristics is presented. The model is based on the partial duration series (PDS) method that includes in the analysis all events above a threshold level. In the PDS model the average annual number of exceedances, the mean value of the exceedance magnitudes, and the coefficient of L variation (LCV) are considered as regional variables. A generalized least squares (GLS) regression model that explicitly accounts for intersite correlation and sampling uncertainties is applied for evaluating the regional heterogenity of the PDS parameters. For the parameters that show a significant regional variability the GLS model is subsequently adopted for describing the variability from physiographic and climatic characteristics. For determination of a proper regional parent distribution L moment analysis is applied for discriminating between the exponential distribution and various two‐parameter distributions in the PDS model. The resulting model can be used for estimation of rainfall intensity‐duration‐frequency curves at an arbitrary location in a region. For illustration, the regional model is applied to rainfall data from a rain gauge network in Denmark.