Evaluation of probability distributions in the analysis of minimum temperature series in Manaus – AM

Detalhes bibliográficos
Autor(a) principal: Borges, Yana Miranda
Data de Publicação: 2021
Outros Autores: Silva, Breno Gabriel da, Melo, Brian Alvarez Ribeiro de, Silva, Robério Rebouças da
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Research, Society and Development
Texto Completo: https://rsdjournal.org/index.php/rsd/article/view/13616
Resumo: The relevance in studying climatological phenomena is based on the influence that variables of this nature exert on the world. Among the most observed variables, temperature stands out, whose effect of its variation may cause significant impacts, such as the proliferation of biological species, agricultural production, population health, etc. Probability distributions have been studied to verify the best fit to describe and/or predict the behavior of climate variables and, in this context, the present study evaluated, among six probability distributions, the best fit to describe a historical temperature series. minimum monthly mean. The series used in this study encompass a period of 38 years (1980 to 2018) separated by month from the weather station of the Manaus - AM station (OMM: 82331) obtained from INMET, totaling 459 observations. Difference-Sign and Turning Point tests were used to verify data independence and the maximum likelihood method to estimate the parameters. Kolmogorov-Smirnov, Anderson-Darling, Cramér-von Mises, Akaike Information Criterion and quantile-quantile plots were used to select the best fit distribution. Log-Normal, Gama, Weibull, Gumbel type II, Benini and Rice distributions were evaluated, with the best performing Rice, Log-Normal and Gumbel II distributions being highlighted.
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spelling Evaluation of probability distributions in the analysis of minimum temperature series in Manaus – AMEvaluación de distribuciones de probabilidad en el análisis de series de temperaturas mínimas en Manaus - AMAvaliação de distribuições de probabilidade na análise de séries de temperatura mínima em Manaus – AMDistribution adjustmentTemperature dataRice distributionLog-Normal DistributionGumbel II distribution.Ajuste de distribucionesDatos de temperaturaDistribución riceDistribución Log-NormalDistribución de Gumbel II.Ajuste de distribuiçõesDados de temperaturaDistribuição riceDistribuição Log-NormalDistribuição Gumbel II.The relevance in studying climatological phenomena is based on the influence that variables of this nature exert on the world. Among the most observed variables, temperature stands out, whose effect of its variation may cause significant impacts, such as the proliferation of biological species, agricultural production, population health, etc. Probability distributions have been studied to verify the best fit to describe and/or predict the behavior of climate variables and, in this context, the present study evaluated, among six probability distributions, the best fit to describe a historical temperature series. minimum monthly mean. The series used in this study encompass a period of 38 years (1980 to 2018) separated by month from the weather station of the Manaus - AM station (OMM: 82331) obtained from INMET, totaling 459 observations. Difference-Sign and Turning Point tests were used to verify data independence and the maximum likelihood method to estimate the parameters. Kolmogorov-Smirnov, Anderson-Darling, Cramér-von Mises, Akaike Information Criterion and quantile-quantile plots were used to select the best fit distribution. Log-Normal, Gama, Weibull, Gumbel type II, Benini and Rice distributions were evaluated, with the best performing Rice, Log-Normal and Gumbel II distributions being highlighted.La relevancia del estudio de los fenómenos climatológicos se basa en la influencia que tienen en el mundo variables de esta naturaleza. Entre las variables más observadas destaca la temperatura, cuyo efecto de su variación puede ocasionar impactos significativos, como en la proliferación de especies biológicas, producción agrícola, salud de la población, etc. Se han estudiado las distribuciones de probabilidad para verificar el mejor ajuste para describir y/o predecir el comportamiento de las variables climáticas y, en este contexto, el presente estudio evaluó, entre seis distribuciones de probabilidad, el mejor ajuste para describir un promedio mensual mínimo de una serie histórica de temperaturas. La serie utilizada en este estudio cubre un período de 38 años (1980 a 2018) separados por meses, de la estación meteorológica de la estación Manaus - AM (OMM: 82331) obtenida del INMET, totalizando 459 observaciones. Se utilizaron pruebas de signo de diferencia y punto de inflexión para verificar la independencia de los datos y el método de máxima verosimilitud para estimar los parámetros. Para seleccionar la distribución de mejor ajuste, se utilizaron los gráficos de Kolmogorov-Smirnov, Anderson-Darling, Cramér-von Mises, Akaike Information Criterion y cuantiles-cuantiles. Se evaluaron las distribuciones Log-Normal, Gama, Weibull, Gumbel tipo II, Benini y Rice, destacándose las distribuciones Rice, Log-Normal y Gumbel II como las de mejor desempeño.A relevância em estudar fenômenos climatológicos baseia-se na influência que variáveis dessa natureza exercem no mundo. Entre as variáveis mais observadas, destaca-se a temperatura, cujo efeito de sua variação pode vir a causar impactos significativos, como na proliferação de espécies biológicas, produção agrícola, saúde da população, etc. Distribuições de probabilidade vêm sendo estudadas para verificar o melhor ajuste para descrever e/ou prever o comportamento de variáveis climáticas e, sob esse contexto, o presente estudo avaliou, dentre seis distribuições de probabilidade, a de melhor ajuste para descrever uma série histórica de temperatura mínima média mensal. As séries utilizadas neste estudo englobam um período de 38 anos (1980 a 2018) separados por mês, da estação meteorológica da estação Manaus - AM (OMM: 82331) obtidas no INMET, totalizando 459 observações. Foram utilizados os testes Difference-Sign e Turning Point para verificar independência dos dados e o método da máxima verossimilhança para estimar os parâmetros. Para selecionar a distribuição de melhor ajuste foram utilizados os testes de Kolmogorov-Smirnov, Anderson-Darling, Cramér-von Mises, Critério de Informação de Akaike e gráficos quantil-quantil. Foram avaliadas as distribuições Log-Normal, Gama, Weibull, Gumbel tipo II, Benini e Rice, destacando-se as distribuições Rice, Log-Normal e Gumbel II como as de melhor desempenho.Research, Society and Development2021-03-22info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://rsdjournal.org/index.php/rsd/article/view/1361610.33448/rsd-v10i3.13616Research, Society and Development; Vol. 10 No. 3; e46210313616Research, Society and Development; Vol. 10 Núm. 3; e46210313616Research, Society and Development; v. 10 n. 3; e462103136162525-3409reponame:Research, Society and Developmentinstname:Universidade Federal de Itajubá (UNIFEI)instacron:UNIFEIenghttps://rsdjournal.org/index.php/rsd/article/view/13616/12180Copyright (c) 2021 Yana Miranda Borges; Breno Gabriel da Silva; Brian Alvarez Ribeiro de Melo; Robério Rebouças da Silvahttps://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessBorges, Yana MirandaSilva, Breno Gabriel da Melo, Brian Alvarez Ribeiro de Silva, Robério Rebouças da 2021-03-28T12:03:35Zoai:ojs.pkp.sfu.ca:article/13616Revistahttps://rsdjournal.org/index.php/rsd/indexPUBhttps://rsdjournal.org/index.php/rsd/oairsd.articles@gmail.com2525-34092525-3409opendoar:2024-01-17T09:34:54.823178Research, Society and Development - Universidade Federal de Itajubá (UNIFEI)false
dc.title.none.fl_str_mv Evaluation of probability distributions in the analysis of minimum temperature series in Manaus – AM
Evaluación de distribuciones de probabilidad en el análisis de series de temperaturas mínimas en Manaus - AM
Avaliação de distribuições de probabilidade na análise de séries de temperatura mínima em Manaus – AM
title Evaluation of probability distributions in the analysis of minimum temperature series in Manaus – AM
spellingShingle Evaluation of probability distributions in the analysis of minimum temperature series in Manaus – AM
Borges, Yana Miranda
Distribution adjustment
Temperature data
Rice distribution
Log-Normal Distribution
Gumbel II distribution.
Ajuste de distribuciones
Datos de temperatura
Distribución rice
Distribución Log-Normal
Distribución de Gumbel II.
Ajuste de distribuições
Dados de temperatura
Distribuição rice
Distribuição Log-Normal
Distribuição Gumbel II.
title_short Evaluation of probability distributions in the analysis of minimum temperature series in Manaus – AM
title_full Evaluation of probability distributions in the analysis of minimum temperature series in Manaus – AM
title_fullStr Evaluation of probability distributions in the analysis of minimum temperature series in Manaus – AM
title_full_unstemmed Evaluation of probability distributions in the analysis of minimum temperature series in Manaus – AM
title_sort Evaluation of probability distributions in the analysis of minimum temperature series in Manaus – AM
author Borges, Yana Miranda
author_facet Borges, Yana Miranda
Silva, Breno Gabriel da
Melo, Brian Alvarez Ribeiro de
Silva, Robério Rebouças da
author_role author
author2 Silva, Breno Gabriel da
Melo, Brian Alvarez Ribeiro de
Silva, Robério Rebouças da
author2_role author
author
author
dc.contributor.author.fl_str_mv Borges, Yana Miranda
Silva, Breno Gabriel da
Melo, Brian Alvarez Ribeiro de
Silva, Robério Rebouças da
dc.subject.por.fl_str_mv Distribution adjustment
Temperature data
Rice distribution
Log-Normal Distribution
Gumbel II distribution.
Ajuste de distribuciones
Datos de temperatura
Distribución rice
Distribución Log-Normal
Distribución de Gumbel II.
Ajuste de distribuições
Dados de temperatura
Distribuição rice
Distribuição Log-Normal
Distribuição Gumbel II.
topic Distribution adjustment
Temperature data
Rice distribution
Log-Normal Distribution
Gumbel II distribution.
Ajuste de distribuciones
Datos de temperatura
Distribución rice
Distribución Log-Normal
Distribución de Gumbel II.
Ajuste de distribuições
Dados de temperatura
Distribuição rice
Distribuição Log-Normal
Distribuição Gumbel II.
description The relevance in studying climatological phenomena is based on the influence that variables of this nature exert on the world. Among the most observed variables, temperature stands out, whose effect of its variation may cause significant impacts, such as the proliferation of biological species, agricultural production, population health, etc. Probability distributions have been studied to verify the best fit to describe and/or predict the behavior of climate variables and, in this context, the present study evaluated, among six probability distributions, the best fit to describe a historical temperature series. minimum monthly mean. The series used in this study encompass a period of 38 years (1980 to 2018) separated by month from the weather station of the Manaus - AM station (OMM: 82331) obtained from INMET, totaling 459 observations. Difference-Sign and Turning Point tests were used to verify data independence and the maximum likelihood method to estimate the parameters. Kolmogorov-Smirnov, Anderson-Darling, Cramér-von Mises, Akaike Information Criterion and quantile-quantile plots were used to select the best fit distribution. Log-Normal, Gama, Weibull, Gumbel type II, Benini and Rice distributions were evaluated, with the best performing Rice, Log-Normal and Gumbel II distributions being highlighted.
publishDate 2021
dc.date.none.fl_str_mv 2021-03-22
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://rsdjournal.org/index.php/rsd/article/view/13616
10.33448/rsd-v10i3.13616
url https://rsdjournal.org/index.php/rsd/article/view/13616
identifier_str_mv 10.33448/rsd-v10i3.13616
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://rsdjournal.org/index.php/rsd/article/view/13616/12180
dc.rights.driver.fl_str_mv https://creativecommons.org/licenses/by/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Research, Society and Development
publisher.none.fl_str_mv Research, Society and Development
dc.source.none.fl_str_mv Research, Society and Development; Vol. 10 No. 3; e46210313616
Research, Society and Development; Vol. 10 Núm. 3; e46210313616
Research, Society and Development; v. 10 n. 3; e46210313616
2525-3409
reponame:Research, Society and Development
instname:Universidade Federal de Itajubá (UNIFEI)
instacron:UNIFEI
instname_str Universidade Federal de Itajubá (UNIFEI)
instacron_str UNIFEI
institution UNIFEI
reponame_str Research, Society and Development
collection Research, Society and Development
repository.name.fl_str_mv Research, Society and Development - Universidade Federal de Itajubá (UNIFEI)
repository.mail.fl_str_mv rsd.articles@gmail.com
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