Desenvolvimento de equações Intensidade-Duração-Frequência sem dados pluviográficos em regiões semiáridas

Sobrinho, Vicente Fechine; Rodrigues, Joseilson Oliveira; Mendonça, Luiz Alberto Ribeiro; Andrade, Eunice Maia de; Tavares, Paulo Roberto Lacerda

doi:10.1590/s1415-43662014000700009

Cited by 5 publications

(4 citation statements)

References 10 publications

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“…These types of distributions have been widely applied in previous studies (e.g., Silva et al, 2002;Sansigolo, 2008;Back et al, 2011;Souza et al, 2012;Mello & Viola, 2013;Fechine Sobrinho et al, 2014), while the maximum likelihood method has been already used in Ramos & Moala (2014) and Kruel et al (2015).…”

Section: Methodsmentioning

confidence: 99%

Modeling of probability in obtaining intensity-duration-frequency relationships of rainfall occurrence for Pelotas, RS, Brazil

Dorneles

Damé

Teixeira-Gandra

et al. 2019

Rev. bras. eng. agríc. ambient.

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Based on historical series, for each locality, equations can characterize the relationship between intensity, duration and frequency of rainfall occurrence. The objective of this study was to present two equations that can describe the occurrence of intense rainfall in Pelotas, RS state, over the period 1982-2015. The two equations were denominated conventional and hybrid, depending on the probabilistic model used. Following the conventional methodology, the parameters of Normal, Log-Normal, Gumbel and Gamma probability distributions were adjusted by the maximum likelihood method for return periods of 2, 5, 10, 20, 25, 50 and 100 years. The maximum intensity values for the hybrid equation were obtained using the empirical model of Weibull, considering return periods of 2, 5, 10, 20 and 25 years. On the other hand, the same theoretical distributions used in the conventional equation were applied to return periods of 50 and 100 years. The Kolmogorov-Smirnov test was used to select the best fitting distribution for the data. In order to verify the information acquired through the Weibull empirical model in comparison to the theoretical distributions, the t-test was applied to the angular coefficients. Significant differences were not verified between the values of maximum rainfall intensities obtained using the two methodologies, for the pre-established durations and return periods. Thus, considering the maximum rainfall intensities values (durations of 5-1440 min) and return periods of 2-100 years in the municipality of Pelotas, RS, Brazil, both the hybrid and the conventional intense rainfall equations can be used.

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Section: Methodsmentioning

confidence: 99%

Modeling of probability in obtaining intensity-duration-frequency relationships of rainfall occurrence for Pelotas, RS, Brazil

Dorneles

Damé

Teixeira-Gandra

et al. 2019

Rev. bras. eng. agríc. ambient.

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“…The pluviographic series, besides a smaller number, have generally shorter periods and with more failures than the pluviometric series. Sobrinho et al (2014) highlight the reduced number of pluviographic information and deficiencies in the monitoring network in the semi-arid region of Brazil, as well as in many regions of the world. The World Meteorological Organization (WMO) recommends the use of series with at least 30 years of data in hydrological studies (Oliveira et al, 2008;Silva et al, 2012;Braga et al, 2018).…”

Section: Introductionmentioning

confidence: 99%

Alternative model of intense rainfall equation obtained from daily rainfall disaggregation

Back

2020

RBRH

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The objective of this work was to propose an alternative model of IDF equation based on the disaggregation of daily rainfall. Data from the rainfall gauge station code 02649018 of the Brazilian National Water Agency from the period 1968 to 2011 were used. Several extreme event probability distributions were adjusted. Rainfall intensity with a return period of 2 to 100 years and durations of 5 to 1440 minutes were estimated using the relationships between rainfall for different durations. The four coefficients of the traditionally used IDF equation were adjusted, obtaining a sum of squares of deviations equal to 695.1 (mm.h-1)2 and standard error of estimation equal to 2.69 mm.h-1. For the model of the intense rainfall equation proposed, that relates the rain intensity and duration with the maximum daily rainfall, the sum of squares of the deviations was 33.6 (mm.h-1)2 and the standard estimated error was 0.59 mm.h-1. Including the return period in the model, we obtained squares of the deviations of 129.4 (mm.h-1)2, with a standard error of estimation of 1.16 mm.h-1. The models proposed have, besides better estimation accuracy, the advantages of facilitating the updating only by updating the maximum daily precipitation and sub serve the spatial representation.

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“…Algumas metodologias foram desenvolvidas no Brasil para obtenção de chuvas de menor duração com base em dados diários observados em pluviômetros. Tais metodologias empregam coeficientes para transformar chuva de 24 h em chuvas de menor duração, entre as quais estão o método das isozonas e o método da desagregação da chuva diária (SOUZA et al, 2012;FECHINE SOBRINHO et al, 2014;RANGEL;HARTWIG, 2017).…”

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Chuvas extremas e equações intensidade-duração-frequência para o estado do Acre

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Cadorin

2020

Rev. Bras. Ciênc. Ambient. (Online)

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As chuvas intensas causam vários problemas, como alagamento, deslizamentoe erosão do solo, sendo importante conhecer as informações sobre as relaçõesintensidade-duração-frequência (IDF) de chuvas intensas locais. Em razão da carênciadessas informações para o estado do Acre, este trabalho teve como objetivos analisaras séries históricas de chuvas e ajustar as equações IDF por meio da desagregaçãoda chuva diária. Para o estudo utilizaram-se as estações pluviométricas da redehidrológica da Agência Nacional de Águas de 11 municípios do Acre. As sériesde máximas anuais apresentaram médias variando de 89,6 a 118,7 mm. Foramajustados os parâmetros da distribuição de Gumbel e da distribuição generalizada devalores extremos (GEV), utilizando os métodos dos momentos, o método da máximaverossimilhança, o método dos momentos-L (MML) e, ainda, o método de Chowpara a distribuição de Gumbel. A aderência das distribuições ajustadas às séries demáximas anuais foi avaliada pelos testes Kolmogorov-Smirnov e Anderson-Darling. Adistribuição GEV com parâmetros estimados pelo MML destacou-se como a melhordistribuição para 73% das estações. Foi observada grande variação nos valores dechuva máxima diária entre as estações, evidenciando a necessidade de determinaros valores com dados locais. As equações IDF obtidas apresentaram bom ajuste,com coeficientes de determinação acima de 0,99. As equações ajustadas permitemestimativa da intensidade da chuva com duração de 5 a 1.440 minutos e período deretorno de dois a cem anos com erro padrão inferior 6,40 mm h-1.

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Desenvolvimento de equações Intensidade-Duração-Frequência sem dados pluviográficos em regiões semiáridas

Cited by 5 publications

References 10 publications

Modeling of probability in obtaining intensity-duration-frequency relationships of rainfall occurrence for Pelotas, RS, Brazil

Modeling of probability in obtaining intensity-duration-frequency relationships of rainfall occurrence for Pelotas, RS, Brazil

Alternative model of intense rainfall equation obtained from daily rainfall disaggregation

Chuvas extremas e equações intensidade-duração-frequência para o estado do Acre

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