A depth–duration–frequency analysis for short-duration rainfall events in England and Wales

This study presents a depth–duration–frequency (DDF) model, which is applied to the annual maxima of sub-hourly rainfall totals of selected stations in England and Wales. The proposed DDF model follows from the standard assumption that the block maxima are generalised extreme value (GEV) distributed...

Full description

Bibliographic Details
Main Authors: Ilaria Prosdocimi, Elizabeth J. Stewart, Gianni Vesuviano
Format: Article
Language:English
Published: IWA Publishing 2017-12-01
Series:Hydrology Research
Subjects:
Online Access:http://hr.iwaponline.com/content/48/6/1624
_version_ 1818033441134870528
author Ilaria Prosdocimi
Elizabeth J. Stewart
Gianni Vesuviano
author_facet Ilaria Prosdocimi
Elizabeth J. Stewart
Gianni Vesuviano
author_sort Ilaria Prosdocimi
collection DOAJ
description This study presents a depth–duration–frequency (DDF) model, which is applied to the annual maxima of sub-hourly rainfall totals of selected stations in England and Wales. The proposed DDF model follows from the standard assumption that the block maxima are generalised extreme value (GEV) distributed. The model structure is based on empirical features of the observed data and the assumption that, for each site, the distribution of the rainfall maxima of all durations can be characterised by common lower bound and skewness parameters. Some basic relationships between the location and scale parameters of the GEV distributions are enforced to ensure that frequency estimates for different durations are consistent. The derived DDF curves give a good fit to the observed data. The rainfall depths estimated by the proposed model are then compared with the standard DDF models used in the United Kingdom. The proposed model performs well for the shorter return periods for which reliable estimates of the rainfall frequency can be obtained from the observed data, while the standard methods show more variable results. Although the standard methods used no or little sub-hourly data in their calibration, they give fairly reliable estimates for the estimated rainfall depths overall.
first_indexed 2024-12-10T06:23:19Z
format Article
id doaj.art-92e006a870674e0db3ef5d269cbd2dec
institution Directory Open Access Journal
issn 1998-9563
2224-7955
language English
last_indexed 2024-12-10T06:23:19Z
publishDate 2017-12-01
publisher IWA Publishing
record_format Article
series Hydrology Research
spelling doaj.art-92e006a870674e0db3ef5d269cbd2dec2022-12-22T01:59:16ZengIWA PublishingHydrology Research1998-95632224-79552017-12-014861624163810.2166/nh.2017.140140A depth–duration–frequency analysis for short-duration rainfall events in England and WalesIlaria Prosdocimi0Elizabeth J. Stewart1Gianni Vesuviano2 Department of Mathematical Sciences, University of Bath, Claverton Down, Bath BA2 7AY, UK Centre for Ecology & Hydrology, Maclean Building, Crowmarsh Gifford, Wallingford, Oxfordshire OX10 8BB, UK Centre for Ecology & Hydrology, Maclean Building, Crowmarsh Gifford, Wallingford, Oxfordshire OX10 8BB, UK This study presents a depth–duration–frequency (DDF) model, which is applied to the annual maxima of sub-hourly rainfall totals of selected stations in England and Wales. The proposed DDF model follows from the standard assumption that the block maxima are generalised extreme value (GEV) distributed. The model structure is based on empirical features of the observed data and the assumption that, for each site, the distribution of the rainfall maxima of all durations can be characterised by common lower bound and skewness parameters. Some basic relationships between the location and scale parameters of the GEV distributions are enforced to ensure that frequency estimates for different durations are consistent. The derived DDF curves give a good fit to the observed data. The rainfall depths estimated by the proposed model are then compared with the standard DDF models used in the United Kingdom. The proposed model performs well for the shorter return periods for which reliable estimates of the rainfall frequency can be obtained from the observed data, while the standard methods show more variable results. Although the standard methods used no or little sub-hourly data in their calibration, they give fairly reliable estimates for the estimated rainfall depths overall.http://hr.iwaponline.com/content/48/6/1624depth–duration–frequencyintensity–duration–frequencyshort-duration rainfallstatistical modelling
spellingShingle Ilaria Prosdocimi
Elizabeth J. Stewart
Gianni Vesuviano
A depth–duration–frequency analysis for short-duration rainfall events in England and Wales
Hydrology Research
depth–duration–frequency
intensity–duration–frequency
short-duration rainfall
statistical modelling
title A depth–duration–frequency analysis for short-duration rainfall events in England and Wales
title_full A depth–duration–frequency analysis for short-duration rainfall events in England and Wales
title_fullStr A depth–duration–frequency analysis for short-duration rainfall events in England and Wales
title_full_unstemmed A depth–duration–frequency analysis for short-duration rainfall events in England and Wales
title_short A depth–duration–frequency analysis for short-duration rainfall events in England and Wales
title_sort depth duration frequency analysis for short duration rainfall events in england and wales
topic depth–duration–frequency
intensity–duration–frequency
short-duration rainfall
statistical modelling
url http://hr.iwaponline.com/content/48/6/1624
work_keys_str_mv AT ilariaprosdocimi adepthdurationfrequencyanalysisforshortdurationrainfalleventsinenglandandwales
AT elizabethjstewart adepthdurationfrequencyanalysisforshortdurationrainfalleventsinenglandandwales
AT giannivesuviano adepthdurationfrequencyanalysisforshortdurationrainfalleventsinenglandandwales
AT ilariaprosdocimi depthdurationfrequencyanalysisforshortdurationrainfalleventsinenglandandwales
AT elizabethjstewart depthdurationfrequencyanalysisforshortdurationrainfalleventsinenglandandwales
AT giannivesuviano depthdurationfrequencyanalysisforshortdurationrainfalleventsinenglandandwales