DETERMINAÇÃO DA EQUAÇÃO INTENSIDADE-DURAÇÃO-FREQUÊNCIA PARA ALGUMAS LOCALIDADES DO ESTADO DA BAHIA

DETERMINAÇÃO DA EQUAÇÃO INTENSIDADE-DURAÇÃO-FREQUÊNCIA PARA ALGUMAS LOCALIDADES DO ESTADO DA BAHIA LORENA JÚLIO GONÇALVES1; CRISTIANO TAGLIAFERRE2; MANOEL NELSON DE CASTRO FILHO3; RODRIGO LACERDA BRITO NETO4; BISMARC LOPES DA SILVA5 E FELIZARDO ADENILSON ROCHA6 1 Departamento de Engenharia Agrícola e Solos da Universidade Estadual do Sudoeste da Bahia (UESB); Estrada do Bem Querer, Km 04; Caixa Postal 95; CEP 45031-900, Vitória da Conquista – BA, [email protected]; 2 Departamento de Engenharia Agrícola e Solos da Universidade Estadual do Sudoeste da Bahia (UESB); Estrada do Bem Querer, Km 04; Caixa Postal 95; CEP 45031-900, Vitória da Conquista – BA, [email protected]; 3 Departamento de Agronomia da Universidade Federal de Viçosa (UFV); Avenida Peter Henry Rolfs, s/n, Campus Universitário; CEP 36570-900; Viçosa – MG; [email protected]; 4 Mestre em Ciências Florestais pela Universidade Estadual do Sudoeste da Bahia (UESB); Rua Madureira, n° 160, Bairro Primavera; CEP 45700-000, Itapetinga – B; [email protected]; 5 Departamento de Engenharia Agrícola e Solos da Universidade Estadual do Sudoeste da Bahia (UESB); Estrada do Bem Querer, Km 04; Caixa Postal 95; CEP 45031-900, Vitória da Conquista – BA, [email protected]; 6 Instituto Federal da Bahia/ Campus Avançado de Vitória da Conquista; Avenida Sérgio Vieira de Mello, n° 3150, Bairro Zabelê; CEP 45075-265, Vitória da Conquista – BA, [email protected]. 1 ABSTRACT The objective of this study was to fit intensity-duration-frequency equations (IDF) for sites in Bahia state, Brazil. Maximum annual rainfall lasting 5, 10, 15, 20, 30, 60, 360 and 1440 minutes were fitted to Gumbel distribution. Equation parameters were estimated using Gauss Newton method for non-linear regressions. According to Kolmogorov-Smirnov test, all equations were fitted to Gumbel distribution. From fitted distributions, maximum annual rainfall intensity was calculated for 2, 10, 20, 50 and 100years return periods, which were used to define the equation for intense rainfall events. Fitting parameters of the equations varied across rain gage stations, especially for the parameter K, suggesting the need for determining these equations for each site, thereby providing information when designing agricultural and hydraulic projects. Keywords: Hydrology. Extreme Rainfall. Distribution of Gumbel. GONÇALVES, L. J.; TAGLIAFERRE, C.; CASTRO FILHO, M. N; BRITO NETO, R. L.; SILVA, B. L; ROCHA, F. A. DETERMINATION OF INTENSITY-DURATION-FREQUENCY EQUATIONS FOR SITES IN BAHIA STATE 2 RESUMO O objetivo deste estudo foi determinar equações de intensidade-duração-frequência (IDF), com base em chuvas extremas para algumas localidades do Estado da Bahia. As precipitações máximas anuais com duração de 5, 10, 15, 20, 30, 60, 360 e 1440 minutos foram ajustadas à distribuição de Gumbel. Os parâmetros da equação foram estimados pelo método de regressão não linear de Gauss Newton. De acordo com o teste Kolmogorov-Smirnov houve ajuste de todas as equações à distribuição de Gumbel. Através das distribuições ajustadas, calcularam-se os valores de intensidade máxima anual de precipitação para períodos de retorno de 2, 10, 20, 50 e 100 anos, que serviram de base para definir a equação de chuvas intensas. Os valores dos parâmetros ajustados das equações variaram entre as estações, notadamente o parâmetro K, evidenciando a necessidade da determinação dessas equações para cada localidade para dimensionamento de projetos agrícolas e de obras hidráulicas. Palavras-chave: Hidrologia. Chuvas Intensas. Distribuição de Gumbel.

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Análise da adequação de eventos de precipitação extrema na Amazônia Ocidental em modelos estáticos: Rondônia

Revista Verde de Agroecologia e Desenvolvimento Sustentável ◽

10.18378/rvads.v10i3.2716 ◽

2015 ◽

Vol 10 (3) ◽

pp. 13

Author(s):

Vinicius Alexandre Sikora de Souza ◽

Marcos Leando Alves Nunes ◽

Sandra Ferronatto Francener ◽

Ana Lúcia Denardin da Rosa

Keyword(s):

Extreme Rainfall ◽

Hydraulic Structures ◽

Font Size ◽

Extreme Rainfall Events ◽

Rainfall Events ◽

Historical Series ◽

Kolmogorov Smirnov ◽

Intensity Duration Frequency ◽

Log Normal ◽

Smirnov Test

<span style="font-size: 12.0pt; line-height: 115%; font-family: 'Times New Roman','serif'; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin; mso-ansi-language: PT-BR; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;">Este estudo objetivou estimar a função Intensidade-Duração-Frequência (IDF) de eventos pluviométricos extremos a partir dos dados de precipitação das estações pluviométricas instaladas no estado de Rondônia, de modo que posteriormente tais informações possam ser utilizadas no dimensionamento de obras hidráulicas. Utilizou-se 41 estações pluviométricas com séries históricas acima de 10 anos, disponibilizadas pela Agência Nacional de Águas (ANA). Essas séries passaram inicialmente pelo teste de aderência Kolmogorov-Smirnov (KS), a fim de verificar o ajuste das mesmas as distribuições: Normal, Log-Normal, Exponencial, Gama, Gumbel, Weibull e Logística. O trabalho denotou que o teste de aderência <span style="font-size: 12.0pt; line-height: 115%; font-family: 'Times New Roman','serif'; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin; mso-ansi-language: PT-BR; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;">Kolmogorov-Smirnov de forma geral forneceu uma expressiva aceitação na maioria das distribuições estatística testadas. Analysis of fitness for extreme rainfall events in western amazon in static models: state Rondônia ABSTRACT: This study aimed to estimate the Intensity - Duration - Frequency (IDF) function extreme rainfall events from the data of precipitation of rainfall stations located in the State of Rondônia, so that such information can be later used in hydraulic structures. We used 41 rainfall stations with historical series over 10 years, provided by the National Water Agency (ANA). These series originally started by adherence Kolmogorov -Smirnov (KS) in order to check the fit of the same distributions: Normal, Log- Normal, Exponential, Gamma, Gumbel, Weibull and Logistics. Work denoted that the Kolmogorov - Smirnov test of adherence generally provided a significant acceptance in most of the tested statistical distributions.<span style="font-size: 12.0pt; line-height: 115%; font-family: 'Times New Roman','serif'; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin; mso-ansi-language: PT-BR; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;">

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Determinação da curva de intensidade-duração-frequência do município de Cruzeiro do Sul – Acre

Ciência e Natura ◽

10.5902/2179460x38301 ◽

2021 ◽

Vol 43 ◽

pp. e30

Author(s):

Nayara Dos Santos Albrigo ◽

Maylla Tawanda dos Santos Pereira ◽

Nelma Tavares Dias Soares ◽

Gleibson De Souza Andrade ◽

Vinicius Alexandre Sikora de Souza ◽

...

Keyword(s):

Gumbel Distribution ◽

Extreme Rainfall ◽

Return Time ◽

Good Adherence ◽

Extreme Rainfall Events ◽

Rainfall Events ◽

The North ◽

Historical Series ◽

Intensity Duration Frequency ◽

Engineering Projects

Information on extreme rainfall events associated with predictability and probabilities, especially in intensity-duration-frequency (IDF) curves, are essential for the development of engineering projects aimed at sanitation, drainage and waterproofing of surfaces, which allow to offer more suitable conditions for dimensioning hydraulic and hydrological works and services. However, much of the North Region of the country does not have this information available or updated. Thus, the objective of this study was to develop the IDF equation for the municipality of Cruzeiro do Sul - AC. A 14-year historical series was used, distributed between 1993 and 2011, such data were analyzed by the Gumbel distribution, the same being related, by means of the daily rain breakdown, for return periods comprising 2 to 100 years and rainfall durations of 5 minutes to 24 hours. In the analysis for the construction of the curve, it was observed that the years 1995 and 2002 corresponded to the years with the highest precipitated height indexes, being 111 mm and 103 mm, respectively, however these events had an estimated return time between 3 and 8 years, which does not denote anomalous events. The IDF curve constructed in the study showed good adherence to the observed data, which proves its use in the region.

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Fire and rain are one: extreme rainfall events predict wildfire extent in an arid grassland

International Journal of Wildland Fire ◽

10.1071/wf19087 ◽

2020 ◽

Vol 29 (8) ◽

pp. 702 ◽

Cited By ~ 2

Author(s):

Elise M. Verhoeven ◽

Brad R. Murray ◽

Chris R. Dickman ◽

Glenda M. Wardle ◽

Aaron C. Greenville

Keyword(s):

Landsat Imagery ◽

Extreme Rainfall ◽

Environmental Drivers ◽

Annual Rainfall ◽

Extreme Rainfall Events ◽

Study Region ◽

Rainfall Events ◽

The North ◽

The Mean ◽

Wildfire Regimes

Assessing wildfire regimes and their environmental drivers is critical for effective land management and conservation. We used Landsat imagery to describe the wildfire regime of the north-eastern Simpson Desert (Australia) between 1972 and 2014, and to quantify the relationship between wildfire extent and rainfall. Wildfires occurred in 15 of the 42 years, but only 27% of the study region experienced multiple wildfires. A wildfire in 1975 burned 43% of the region and is the largest on record for the area. More recently, a large wildfire in 2011 reburned areas that had not burned since 1975 (47% of the 2011 wildfire), as well as new areas that had no record of wildfires (25% of the 2011 wildfire). The mean minimum wildfire return interval was 27 years, comparable with other spinifex-dominated grasslands, and the mean time since last wildfire was 21 years. Spinifex-dominated vegetation burned most frequently and over the largest area. Extreme annual rainfall events (> 93rd percentile) effectively predicted large wildfires occurring 2 years after those events. Extreme rainfall is predicted to increase in magnitude and frequency across central Australia, which could alter wildfire regimes and have unpredictable and far-reaching effects on ecosystems in the region’s arid landscapes.

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Extreme rainfall and IDF equations for Alagoas State, Brazil

Ambiente e Agua - An Interdisciplinary Journal of Applied Science ◽

10.4136/ambi-agua.2544 ◽

2020 ◽

Vol 15 (6) ◽

pp. 1

Author(s):

Álvaro José Back ◽

Sabrina Baesso Cadorin ◽

Sérgio Luciano Galatto

Keyword(s):

Hydrological Modeling ◽

Probability Distributions ◽

Gumbel Distribution ◽

Extreme Rainfall ◽

Maximum Rainfall ◽

Gev Distribution ◽

Significance Level ◽

Intensity Duration Frequency ◽

Conservation Projects ◽

Anderson Darling

Intensity-duration-frequency (IDF) equations have important applications in several engineering areas such as urban drainage designs, hydrological modeling, and soil conservation projects. This study analyzes the annual maximum series and fits IDF equations for 44 rainfall stations in Alagoas State, Brazil. We adjusted parameters of the Gumbel distribution (GD) and the Generalized Extreme Value (GEV) distribution. The fitting of the observed data to the probability distributions, as well as the selection of the best distribution, were based on the Kolmogorov-Smirnov and Anderson-Darling tests at a 5% significance level. The GEV distribution with parameters obtained by the L-moments method was considered the best in 73% of rainfall stations. The estimated IDF equations showed a good fit, with determination coefficients above 0.991. The maximum rainfall intensities have spatial variation following the climatic zones of the state. The fitted equations allow estimating rainfall intensities from 5 minutes to 24 hours with a return period of 2 to 100 years, and standard error of less than 6.83 mm h-1.

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Spatio-temporal Variability and Trends of Mean and Extreme Rainfall Events in the Sudano-sahelian Region of Cameroon

10.21203/rs.3.rs-848441/v1 ◽

2021 ◽

Author(s):

Ibrahim NJOUENWET ◽

Lucie A. Djiotang Tchotchou ◽

Brian Odhiambo Ayugi ◽

Guy Merlin Guenang ◽

Derbetini A. Vondou ◽

...

Keyword(s):

Climate Change ◽

Extreme Rainfall ◽

Temporal Variations ◽

Annual Rainfall ◽

Drought Risk ◽

Extreme Rainfall Events ◽

Rainfall Events ◽

Precipitation Concentration ◽

Spatio Temporal ◽

The Impact

Abstract The Sudano-Sahelian region of Cameroon is mainly drained by the Benue, Chari and Logone rivers, which are very useful for water resources, especially for irrigation, hydropower generation, and navigation. Long-term changes in mean and extreme rainfall events in the region may be of crucial importance in understanding the impact of climate change. Daily and monthly rainfall data from twenty-five synoptic stations in the study area from 1980 to 2019 and extreme indices from the Expert Team on Climate Change Detection and Indices (ETCCDI) measurements were estimated using the non-parametric Modified Mann-Kendall test and the Sen slope estimator. The precipitation concentration index (PCI), the precipitation concentration degree (PCD), and the precipitation concentration period (PCP) were used to explore the spatio-temporal variations in the characteristics of rainfall concentrations. An increase in extreme rainfall events was observed, leading to an upward trend in mean annual. Trends in consecutive dry days (CDD) are significantly increasing in most parts of the study area. This could mean that the prevalence of drought risk is higher in the study area. Overall, the increase in annual rainfall could benefit the hydro-power sector, agricultural irrigation, the availability of potable water sources, and food security.

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Hourly Analyses of the Large Storms and Atmospheric Rivers that Provide Most of California’s Precipitation in Only 10 to 100 Hours per Year

San Francisco Estuary and Watershed Science ◽

10.15447/sfews.2018v16iss4art1 ◽

2018 ◽

Vol 16 (4) ◽

Cited By ~ 7

Author(s):

Maryam Lamjiri ◽

Michael Dettinger ◽

F. Martin Ralph ◽

Nina Oakley ◽

Jonathan Rutz

Keyword(s):

San Francisco ◽

Sierra Nevada ◽

Southern California ◽

Extreme Rainfall ◽

Annual Rainfall ◽

North Coast ◽

Northern California ◽

Rainfall Events ◽

Atmospheric Rivers ◽

The North

California is regularly impacted by floods and droughts, primarily as a result of too many or too few atmospheric rivers (ARs). This study analyzes a two-decade-long hourly precipitation dataset from 176 California weather stations and a 3-hourly AR chronology to report variations in rainfall events across California and their association with ARs. On average, 10-40 and 60-120 hours of rainfall in southern and northern California, respectively, are responsible for more than half of annual rainfall accumulations. Approximately 10-30% of annual precipitation at locations across the state is from only one large storm. On average, northern California receives 25-45 rainfall events annually (40-50% of which are AR-related). These events typically have longer durations and higher event-precipitation totals than those in southern California. Northern California also receives more AR landfalls with longer durations and stronger Integrated Vapor Transport (IVT). On average, ARs contribute 79%, 76%, and 68% of extreme-rainfall accumulations (i.e., top 5% events annually) in the north coast, northern Sierra, and Transverse Ranges of southern California, respectively. The San Francisco Bay Area terrain gap in the California Coast Range allows more AR water vapor to reach inland over the Delta and Sacramento Valley, and thus, influences precipitation in the Delta’s catchment. This is particularly important for extreme precipitation in the northern Sierra Nevada, including river basins above Oroville Dam and Shasta Dam. This study highlights differences between rainfall and AR characteristics in coastal versus inland northern California, differences that largely determine the regional geography of flood risks and water-reliability. These analyses support water resource, flood, levee, wetland, and ecosystem management within the catchment of the San Francisco estuary system by describing regional characteristics of ARs and their influence on rainfall on an hourly timescale.

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Modeling of short duration extreme rainfall events over Lower Yamuna Catchment

MAUSAM ◽

10.54302/mausam.v63i3.1229 ◽

2022 ◽

Vol 63 (3) ◽

pp. 391-400

Author(s):

MEHFOOZ ALI ◽

SURINDER KAUR ◽

S.B. TYAGI ◽

U.P. SINGH

Keyword(s):

Short Duration ◽

Goodness Of Fit ◽

Extreme Rainfall ◽

Return Periods ◽

Goodness Of Fit Test ◽

Extreme Rainfall Events ◽

Rainfall Events ◽

Kolmogorov Smirnov ◽

Level Of Significance ◽

Made In

Short duration rainfall estimates and their intensities for different return periods are required for many purposes such as for designing flood for hydraulic structures, urban flooding etc. An attempt has been made in this paper to Model extreme rainfall events of Short Duration over Lower Yamuna Catchment. Annual extreme rainfall series and their intensities were analysed using EVI distribution for rainstorms of short duration of 5, 10, 15, 30, 45 & 60 minutes and various return periods have been computed. The Self recording rainguage (SRRGs) data for the period 1988-2009 over the Lower Yamuna Catchment (LYC) have been used in this study. It has been found that EVI distribution fits well, tested by Kolmogorov-Smirnov goodness of fit test at 5 % level of significance for each of the station.

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Algoritmo para Determinação da Equação de Chuvas Intensas (Algorithm to Determine the Equation of Intense Rain)

Revista Brasileira de Geografia Física ◽

10.26848/rbgf.v6i5.233110 ◽

2013 ◽

Vol 6 (5) ◽

pp. 1371 ◽

Cited By ~ 3

Author(s):

Simone Rosa da Silva ◽

George Rodrigues De Sousa Araújo

Keyword(s):

Extreme Values ◽

Drainage System ◽

Gumbel Distribution ◽

Data Series ◽

Extreme Precipitation Events ◽

Kolmogorov Smirnov ◽

Intensity Duration Frequency ◽

Agile Process ◽

Annual Means ◽

The Cost

Estudos hidrológicos regionais são necessários em obras de engenharia relacionadas ao planejamento e aproveitamento dos recursos hídricos, pois eventos extremos de precipitações estão diretamente relacionados com os custos e a segurança das obras de aproveitamento hídrico, tais como: sistema de drenagem de águas pluviais, canais e bacias de detenção. O objetivo principal deste trabalho foi desenvolver e aplicar um algoritmo para determinação de parâmetros das equações IDF - Intensidade-Duração-Frequência, visando tornar o processo ágil a partir dos dados disponíveis de precipitação. Foi elaborada uma rotina computacional através da integração dos dados através de planilha eletrônica e software estatístico, que compreende regressões lineares múltiplas e processos gráficos. O algoritmo foi aplicado para obtenção da equação IDF para o município do Recife. Foi realizada a extrapolação de dados históricos de séries anuais através da distribuição de probabilidade de valores extremos de Gumbel, verificando-se sempre o ajuste dessa distribuição aos dados através do teste de Kolmogorov-Smirnov. A seguir, através da aplicação do algoritmo foram calculados os parâmetros da equação IDF para o respectivo posto pluviográfico, obtendo-se resultados satisfatórios. A B S T R A C T Regional hydrological studies are required on engineering works related to planning and use of water resources because of extreme precipitation events are directly related to the cost and safety of the works of water use, such as: drainage system rain water channels and basins detention. The main objective of this work is to develop and apply an algorithm for determining parameters of the equations IDF - Intensity-Duration-Frequency, designed to make the agile process from data available for precipitation. Was developed a computational routine by integrating data through spreadsheet and statistical software, which comprises multiple linear regressions and printing processes. The algorithm was applied to obtain the equation for the IDF city of Recife. We performed the extrapolation of historical data series of annual means of the probability distribution of extreme values of Gumbel, always checking the fit of this distribution to data using the Kolmogorov-Smirnov test. Then, by applying the algorithm parameters were calculated from the equation for the IDF pluviometric respective station, obtaining satisfactory results. Keywords: Rainfall intensity. Equations IDF. Gumbel Distribution.

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Watershed-Based Rainfall variability and trends of extreme rainfall events in South East Awash Basin, Ethiopia

The International Journal of Social Sciences and Humanities Invention ◽

10.18535/ijsshi/v6i6.07 ◽

2019 ◽

Vol 6 (6) ◽

pp. 5524-5530

Author(s):

Yonas Tadesse Alemu

Keyword(s):

Coefficient Of Variation ◽

Rainy Season ◽

Rainfall Variability ◽

Extreme Rainfall ◽

Annual Rainfall ◽

Extreme Rainfall Events ◽

Rainfall Events ◽

Precipitation Distribution ◽

Precipitation Concentration ◽

Dire Dawa

This study presents analysis of Rainfall variability and trends of extreme rainfall events in the Oda Gunufeta -Cherecha -Dechatu watershed, Awash Drainage Basin, Eastern Ethiopia. The study employed the coefficient of variation and the Precipitation Concentration Index (PCI) as statistical descriptors of rainfall variability. The indices at the five stations were subjected to non-parametric Mann-Kendall test to detect the trend over the period between 1985 to 2014. The results of the study revealed that, the watershed experiences moderate inter-annual rainfall variability. The Belg rainfall shows high variability than Kiremt rainfall. Highest Belg & Kiremt rainfall variability is observed in Dire Dawa with coefficient of variation of 46% and 40% respectively. The annual PCI for the watershed in all the stations under investigation during the record periods showed that 100% of the years for which the annual PCI was estimated fell within the irregular precipitation distribution range or high precipitation concentration. The irregular precipitation distribution also extended to all the stations in short rainy season (Belg rainfall) and in two stations in the main rainy season (Kiremt season). With regard to the rainfall trend, the annual rainfall has showed a negative trend in most of the stations for the period 1985-2014. The Mann–Kendall trend test during the Kiremt season shows a positive trend in Dengego, Dire Dawa, Combolcha and Haramaya and the increasing tendency is significant at p<0.1 in Degego, p<0.05 in Dire Dawa, p <0.05 in Combolcha and p <0.01 in Haramaya. The heavy rainfall events, the 90th & 95th percentiles, in all the five stations showed an increasing pattern but except in Combolcha the trends are not statistically significant. This implies that the watershed has been under increased rainfall intensity and this in turn has the potential cause for high risk of flood occurrences.

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Seasonal intensity-duration-frequency relationships for Pelotas, Rio Grande do Sul, Brazil

Revista Brasileira de Engenharia Agrícola e Ambiental ◽

10.1590/1807-1929/agriambi.v26n2p85-90 ◽

2022 ◽

Vol 26 (2) ◽

pp. 85-90

Author(s):

Emanuele B. Manke ◽

Claudia F. A. Teixeira-Gandra ◽

Rita de C. F. Damé ◽

André B. Nunes ◽

Maria C. C. Chagas Neta ◽

...

Keyword(s):

Rio Grande ◽

Extreme Rainfall ◽

Rio Grande Do Sul ◽

Extreme Rainfall Events ◽

Maximum Rainfall ◽

Rainfall Events ◽

Intensity Duration Frequency ◽

Relationship Of ◽

The Relationship ◽

The City

ABSTRACT Although several studies have evaluated the intensity-duration-frequency relationships of extreme rainfall events, these relationships under different seasonal conditions remain relatively unknown. Thus, this study aimed to determine whether the intensity-duration-frequency relationships obtained seasonally from the rainfall records in the winter and summer represent the maximum rainfall events for the city of Pelotas, Rio Grande do Sul state, Brazil. Pluviographic data from 1982 to 2015 were used to create two seasonal series: one for the summer from December 21 to March 20 and the other for the winter from June 21 to September 22. These seasonal relationships were compared with the annual pluviographic data. The intensity, duration, and frequency relationships obtained from the summer rain data adequately represented the maximum rainfall in Pelotas, Rio Grande do Sul state, Brazil. The maximum intensity values of rainfall obtained from the relationship of intensity, duration, and frequency for the winter did not adequately encapsulate the occurrence of rain with greater intensities.

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