Classical and Bayesian approach to the prediction of maximum rainfall in the municipality of São João da Boa Vista-SP

The knowledge of the occurrence and the intensity of maximum rainfall is of fundamental importance to human activities planning, since they might cause social, environmental, economic and human life losses. The present study aims to fit the Generalized Extreme Value (GEV) distribution to the annual...

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Detalles Bibliográficos
Autores: Costa, Matheus de Souza, Beijo, Luiz Alberto, Marques, Reinaldo Antônio Gomes, Ferreira, Valdeline de Paula Mequelino, Ramos, Marcelo Savio
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2025
País:Brasil
Institución:Universidade Federal de Santa Maria (UFSM)
Repositorio:Revista Ciência e Natura (Online)
Idioma:portugués
OAI Identifier:oai:ojs.pkp.sfu.ca:article/69926
Acceso en línea:https://periodicos.ufsm.br/cienciaenatura/article/view/69926
Access Level:acceso abierto
Palabra clave:Extreme rainfall
Generalized Extreme Value distribution
Return levels
Informative prior
Chuvas extremas
Distribuição Generalizada de Valores Extremos
Níveis de retorno
Priori informativa
Descripción
Sumario:The knowledge of the occurrence and the intensity of maximum rainfall is of fundamental importance to human activities planning, since they might cause social, environmental, economic and human life losses. The present study aims to fit the Generalized Extreme Value (GEV) distribution to the annual maximum precipitation series of the city of São João da Boa Vista–SP. To achieve this, maximum likelihood and Bayesian inference methods were employed to estimate the parameters and, consequently, the annual maximum precipitation. Information about maximum rainfall from Lavras, Machado, Silvianopolis (Minas Gerais state) and Jaboticabal (São Paulo state) were used in informative prior distribution elicitation. The use of prior information improved the precision and accuracy of the maximum rainfall estimates. Then, the GEV distribution, using an informative prior distribution based on data from Machado-MG, presented better accuracy and lower prediction error. This methodology was applied to predict the maximum rainfall for return periods of 2, 5, 10, 20, 50, and 100 years in São João da Boa Vista - SP. Based on the results obtained, for a return period of 2 years, the expected maximum rainfall is equal to or greater than 72.87 mm.