Development of Intensity-Duration-Frequency Curves of Intense Rainfall With Emphasis on the Behavior of the Upper Tail of the Distribution

Abstract The design and management of various hydraulic structures (such as stormwater drains, bridges and dams) require the estimation of rainfall with duration of a few minutes up to 24 h or more. Intensity-duration-frequency (IDF) curves links probability of occurrence to a given rainfall intensi...

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Main Authors: Wagner Alessandro Pansera, Benedito Martins Gomes, Eloy Lemos de Mello, João Carlos Cury Saad
Format: Article
Language:English
Published: Sociedade Brasileira de Meteorologia 2022-07-01
Series:Revista Brasileira de Meteorologia
Subjects:
Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0102-77862022005008201&lng=en&tlng=en
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author Wagner Alessandro Pansera
Benedito Martins Gomes
Eloy Lemos de Mello
João Carlos Cury Saad
author_facet Wagner Alessandro Pansera
Benedito Martins Gomes
Eloy Lemos de Mello
João Carlos Cury Saad
author_sort Wagner Alessandro Pansera
collection DOAJ
description Abstract The design and management of various hydraulic structures (such as stormwater drains, bridges and dams) require the estimation of rainfall with duration of a few minutes up to 24 h or more. Intensity-duration-frequency (IDF) curves links probability of occurrence to a given rainfall intensity. The procedure for obtaining IDF curves basically involves two steps: (i) frequency analysis for different durations and (ii) modeling of IDF curves. In the first step, this study aimed to adequately select the upper tail weight of the following distributions: generalized extreme value (GEV), generalized logistic (GLO) and generalized Pareto (GPA). In the second step, this study aimed to evaluate the performance of three models of IDF curves. The traditional model (M1) was compared with empirical model (M2) and a second-order polynomial model (M3). To perform this study, rainfall data from the city of Caraguatatuba (São Paulo state, Brazil) for the period between 1971 and 2001 were used, for time intervals between 10 and 1440 min. The main conclusions were: (i) GLO and GEV had heavy upper tail while GPA had light upper tail, impacting quantiles with T > 100 years; (ii) M3 presents errors lower than M1 for return periods greater than 100 years.
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spelling doaj.art-36af55b384644203833d629799c1f99a2022-12-22T02:26:38ZengSociedade Brasileira de MeteorologiaRevista Brasileira de Meteorologia1982-43512022-07-0110.1590/0102-77863710069Development of Intensity-Duration-Frequency Curves of Intense Rainfall With Emphasis on the Behavior of the Upper Tail of the DistributionWagner Alessandro Panserahttps://orcid.org/0000-0002-6850-6775Benedito Martins GomesEloy Lemos de MelloJoão Carlos Cury SaadAbstract The design and management of various hydraulic structures (such as stormwater drains, bridges and dams) require the estimation of rainfall with duration of a few minutes up to 24 h or more. Intensity-duration-frequency (IDF) curves links probability of occurrence to a given rainfall intensity. The procedure for obtaining IDF curves basically involves two steps: (i) frequency analysis for different durations and (ii) modeling of IDF curves. In the first step, this study aimed to adequately select the upper tail weight of the following distributions: generalized extreme value (GEV), generalized logistic (GLO) and generalized Pareto (GPA). In the second step, this study aimed to evaluate the performance of three models of IDF curves. The traditional model (M1) was compared with empirical model (M2) and a second-order polynomial model (M3). To perform this study, rainfall data from the city of Caraguatatuba (São Paulo state, Brazil) for the period between 1971 and 2001 were used, for time intervals between 10 and 1440 min. The main conclusions were: (i) GLO and GEV had heavy upper tail while GPA had light upper tail, impacting quantiles with T > 100 years; (ii) M3 presents errors lower than M1 for return periods greater than 100 years.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0102-77862022005008201&lng=en&tlng=endesign rainfallextreme valuesLH moments
spellingShingle Wagner Alessandro Pansera
Benedito Martins Gomes
Eloy Lemos de Mello
João Carlos Cury Saad
Development of Intensity-Duration-Frequency Curves of Intense Rainfall With Emphasis on the Behavior of the Upper Tail of the Distribution
Revista Brasileira de Meteorologia
design rainfall
extreme values
LH moments
title Development of Intensity-Duration-Frequency Curves of Intense Rainfall With Emphasis on the Behavior of the Upper Tail of the Distribution
title_full Development of Intensity-Duration-Frequency Curves of Intense Rainfall With Emphasis on the Behavior of the Upper Tail of the Distribution
title_fullStr Development of Intensity-Duration-Frequency Curves of Intense Rainfall With Emphasis on the Behavior of the Upper Tail of the Distribution
title_full_unstemmed Development of Intensity-Duration-Frequency Curves of Intense Rainfall With Emphasis on the Behavior of the Upper Tail of the Distribution
title_short Development of Intensity-Duration-Frequency Curves of Intense Rainfall With Emphasis on the Behavior of the Upper Tail of the Distribution
title_sort development of intensity duration frequency curves of intense rainfall with emphasis on the behavior of the upper tail of the distribution
topic design rainfall
extreme values
LH moments
url http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0102-77862022005008201&lng=en&tlng=en
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