Analytical derivation of rain intensity–duration–area–frequency relationships from event maxima

Michele, Carlo De; Zenoni, Enrica; Pecora, Silvano; Rosso, Renzo

doi:10.1016/j.jhydrol.2011.01.018

Cited by 26 publications

(14 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…From the disaggregated data transformed into average maximum rainfall intensity, IDF relationship parameters were adjusted (MICHELE et al, 2011), minimizing the objective function (f obs − f mod ) 2 using the Excel function Solver with a non-linear optimization code, known as Generalized Reduced Gradient.…”

Section: Methodsmentioning

confidence: 99%

Intensity-Duration-Frequency relationships: stochastic modeling and disaggregation of daily rainfall in the lagoa Mirim watershed, Rio Grande do Sul, Brazil

et al. 2016

View full text Add to dashboard Cite

This study aimed to investigate information gain by using rainfall intensity-durationfrequency (IDF) relationships, with data gathered within N+M years from seven rain gauge stations located in the Lagoa Mirim Watershed (South Atlantic basin). After N years of daily rainfall, the transition probabilities of a time homogeneous two-state Markov chain were defined to simulate rainfall occurrence, as well as gamma distribution to measure it; for that, daily rainfall series were composed of N+M years, with M being the generated series. The series were adjusted to Gumbel distribution, being used in annual maximum daily rainfall disaggregation for durations of 10, 20, 30, 40, 50, 60, 120, 360, 720 and 1440 min. Daily rainfall disaggregation was validated through IDF relationships taken from pluviograph records of N years and from N+M years, using the "t" test of relative mean squared error. We can infer that there was information gain using IDF relationships of rainfall occurrence when using N years of observed data and M years of generated data by stochastic modeling compared to those obtained from a composed series of N years.KEY WORDS: intense rainfall, hydrologic modeling, pluviographic records, hydrological series. RELAÇÕES INTENSIDADE-DURAÇÃO-FREQUÊNCIA: MODELAGEM ESTOCÁSTICAE DESAGREGAÇÃO DA CHUVA DIÁRIA NA BACIA HIDROGRÁFICA DA LAGOA MIRIM/RS/BRASIL RESUMO: Objetivou-se verificar se há ganho de informação em termos de relações IntensidadeDuração-Frequência (IDF) de ocorrência de chuva, obtidas a partir de N+M anos de dados para sete estações pluviométricas, pertencentes à bacia hidrográfica da lagoa Mirim (bacia do Atlântico Sul). A partir de N anos de chuva diária observada, foram ajustadas as probabilidades de transição da cadeia de Markov homogênea de dois estados, utilizada na simulação da ocorrência de dias secos e chuvosos, bem como a distribuição Gama, para quantificar a chuva, sendo a série de c huva diária composta por N+M anos, e M a série gerada. As séries compostas foram ajustadas à distribuição de Gumbel e utilizadas na desagregação da chuva máxima diária anual para as durações de 10, 20, 30, 40; 50; 60; 120; 360; 720 e 1440 min. Na validação da metodologia da desagregação da chuva diária, foram comparadas as relações IDFs, a partir de registros pluviográficos, com as obtidas a partir de N anos, bem como as obtidas a partir de N+M anos, utilizando o teste "t" do erro relativo médio quadrático. Concluiu-se que houve ganho de informação em termos de relações IDF de ocorrência de chuva, quando são utilizados N anos de dados observados e M anos de dados gerados, mediante a modelagem estocástica, comparativamente às obtidas a partir da série compost a de N anos.PALAVRAS-CHAVE: chuva intensa, modelagem hidrológica, registros pluviográficos, séries hidrológicas.Intensity-duration-frequency relationships: stochastic modeling and disaggregation of daily rainfall

show abstract

Section: Methodsmentioning

confidence: 99%

Intensity-Duration-Frequency relationships: stochastic modeling and disaggregation of daily rainfall in the lagoa Mirim watershed, Rio Grande do Sul, Brazil

et al. 2016

View full text Add to dashboard Cite

show abstract

“…These characteristic are when the probability curves for different periods remain in parallel to each other, and the similarity of the relationships between maximum average rainfall of varied durations and locations. From the disaggregated daily rainfall, transformed into average maximum intensity, the equation parameters were adjusted as proposed by MICHELE et al, 2011: ( ) …”

Section: Methodsmentioning

confidence: 99%

Analysis of the relationship intensity, duration, frequency of disaggregated daily rainfall in southern Rio Grande do Sul, Brazil

Damé¹,

Teixeira-Gandra²,

Villela³

et al. 2014

Eng. Agríc.

View full text Add to dashboard Cite

ABSTRACT:The intensity, duration, and frequency relationship (IDF) of rainfall occurrence may be done through continuous records of pluviographs or daily pluviometer values . The objective of this study was to estimate the intensity-duration-frequency relationships of precipitation, using the method of daily rainfall disaggregation, at weather stations located to the southern half of the state of Rio Grande do Sul; comparing them with those obtained by rain gauge records, in places considered homogeneous from the meteorological point of view. The IDF equation parameters were estimated from daily rainfall disaggregation data, using the method of nonlinear optimization. To validate the equations confidence indices and efficiency and the "t" Student test, among maximum intensity values obtained from the disaggregated daily rainfall durations of 10; 30; 60 min and 6; 12 and 24 h and those extracted from existing IDF equations. For all studied stations and return periods, the trust index values were regarded as "optimal", i.e., greater than 0.85. The maximal intensity of rainfall obtained by daily rainfall disaggregation have similarity with those obtained by relations IDF standards. Thus, the method constitutes a feasible alternative in obtaining the IDF relationships.KEYWORDS: hydrology, daily rainfall disaggregation, heavy rain. RELAÇÃO INTENSIDADE-DURAÇÃO-FREQUÊNCIA DA PRECIPITAÇÃO PLUVIALDIÁRIA DESAGREGADA NO SUL DO RIO GRANDE DO SUL RESUMO: A obtenção da relação intensidade-duração-frequência (IDF) de ocorrência de chuvas pode ser feita mediante registros contínuos de pluviógrafos ou de valores diários de pluviômetros. O objetivo do presente trabalho foi estimar as relações intensidade-duração-frequência de chuva, utilizando a metodologia da desagregação da chuva diária, para estações localizadas na metade sul do Estado do Rio Grande do Sul, comparando-as com as obtidas mediante registros pluviográficos, em locais considerados homogêneos do ponto de vista meteorológico. Os parâmetros da equação IDF foram estimados a partir dos dados de desagregação de chuva diária, utilizando o método de otimização não linear. Para validar as equações, foram utilizados índices de confiança e de eficiência, e o teste "t" de Student, entre os valores de intensidades máximas obtidos a partir da chuva diária desagregada, nas durações de 10; 30; 60 min e 6; 12 e 24 h e aqueles extraídos de equações IDF já existentes. Para todas as estações estudadas e períodos de retorno, os valores do índice de confiança foram considerados "ótimos", ou seja, maiores do que 0,85. Os valores de intensidade máxima de precipitação pluvial obtidos por desagregação da chuva diária apresentam similaridade com os obtidos por relações IDF padrões. A metodologia de desagregação de chuva diária constitui-se em alternativa viável na obtenção das relações IDF. PALAVRAS-CHAVE:hidrologia, desagregação da chuva diária, chuva intensa.

show abstract

“…A large number of studies have focused on modelling precipitation extremes in relation to climate model output (e.g. Benestad, 2010;Burton et al, 2010;Cooley and Sain, 2010;Nguyen et al, 2010;Schliep et al, 2010;De Michele et al, 2011;Olsson et al, 2012;Gregersen et al, 2013). These studies used different indices to characterize the tail of the distribution of precipitation data.…”

Section: Precipitation Observationsmentioning

confidence: 99%

On the importance of observational data properties when assessing regional climate model performance of extreme precipitation

Pinya

Sørup

Christensen

et al. 2013

Hydrol. Earth Syst. Sci.

View full text Add to dashboard Cite

Abstract. In recent years, there has been an increase in the number of climate studies addressing changes in extreme precipitation. A common step in these studies involves the assessment of the climate model performance. This is often measured by comparing climate model output with observational data. In the majority of such studies the characteristics and uncertainties of the observational data are neglected.This study addresses the influence of using different observational data sets to assess the climate model performance. Four different data sets covering Denmark using different gauge systems and comprising both networks of point measurements and gridded data sets are considered. Additionally, the influence of using different performance indices and metrics is addressed. A set of indices ranging from mean to extreme precipitation properties is calculated for all the data sets. For each of the observational data sets, the regional climate models (RCMs) are ranked according to their performance using two different metrics. These are based on the error in representing the indices and the spatial pattern.In comparison to the mean, extreme precipitation indices are highly dependent on the spatial resolution of the observations. The spatial pattern also shows differences between the observational data sets. These differences have a clear impact on the ranking of the climate models, which is highly dependent on the observational data set, the index and the metric used. The results highlight the need to be aware of the properties of observational data chosen in order to avoid overconfident and misleading conclusions with respect to climate model performance.

show abstract

Analytical derivation of rain intensity–duration–area–frequency relationships from event maxima

Cited by 26 publications

References 22 publications

Intensity-Duration-Frequency relationships: stochastic modeling and disaggregation of daily rainfall in the lagoa Mirim watershed, Rio Grande do Sul, Brazil

Intensity-Duration-Frequency relationships: stochastic modeling and disaggregation of daily rainfall in the lagoa Mirim watershed, Rio Grande do Sul, Brazil

Analysis of the relationship intensity, duration, frequency of disaggregated daily rainfall in southern Rio Grande do Sul, Brazil

On the importance of observational data properties when assessing regional climate model performance of extreme precipitation

Contact Info

Product

Resources

About