Duration-frequency relationships of heavy rainfall in Santa Catarina, Brazil

Abstract

suMMary the purpose of this study was to adjust equations that establish relationships between rainfall events with different duration and data from weather stations in the state of santa catarina, Brazil. in this study, the relationships between different duration heavy rainfalls from 13 weather stations of santa catarina were analyzed. From series of maximum annual rainfalls, and using the Gumbel-chow distribution, the maximum rainfall for durations between 5 min and 24 h were estimated considering return periods from 2 to 100 years. the data fit to the Gumbel-chow model was verified by the Kolmogorov-smirnov test at 5 % significance. the coefficients of Bell's equation were adjusted to estimate the relationship between rainfall duration t (min) and the return period t (y) in relation to the maximum rainfall with a duration of 1 hour and a 10 year return period. likewise, the coefficients of Bell's equation were adjusted based on the maximum rainfall with a duration of 1 day and a 10 year return period. the results showed that these relationships are viable to estimate short-duration rainfall events at locations where there are no rainfall records.

Estimate of intense rainfall equation parameters for rainfall stations of the Paraíba State, Brazil

“…These relationships are commonly denominated intensity-duration-frequency (IDF) curves, one of the most widely used methodologies in rainfall-flow transformation processes (Damé et al 2008). Intense rainfall is determined by empirical adjustments of IDF equation parameters, derived from rainfall data for each of the stations (Santos et al 2009, Back et al 2012. The parameters of the intense rainfall equation can be obtained via nonlinear multiple regression, based on information extracted from the series of rainfall data (Campos et al 2014), which do not always contain duration, but are composed of daily records.…”

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

“…Papalexiou and Koutsoyiannis (2013) fitted GEV in approximately 15,000 series of annual daily maximum rainfall spread across the globe and pointed out that heavy upper tails should be preferred instead of moderate and light. In Brazil, it is very common to use the Gumbel distribution, one of the possible forms of GEV, with moderate upper tail (Back, 2010;Back et al, 2012;Dorneles et al, 2019;Garcia et al, 2011;Martins et al, 2013;Silva and Araújo, 2013). Quadros et al (2011) performed rainfall frequency analysis for different durations in the city of Cascavel (state of Paraná, Brazil) and observed that Gumbel underestimates GEV for large return periods.…”

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

“…Agríc. Ambiental, v.18, n.7, p.727-734, 2014. determinação de estruturas de contenção do processo erosivo (Martins et al, 2010) além de possibilitar o dimensionamento de estruturas hidráulicas para canalização de escoamento superficial, dentre outras utilizações (Genovez & Zuffo, 2000;Rodrigues et al, 2008;Santos et al, 2010;Back et al, 2012;Elsebaie, 2012); contudo, para o desenvolvimento das equações IDF, normalmente é necessário dispor de uma grande base de dados pluviográficos que, na maioria das vezes, não estão acessíveis devido à inexistência de uma rede contínua de monitoramento ou de um número reduzido de informações disponíveis, como é o caso da região em estudo.…”