Analysis of the Maximum Seismic Intensity Through the Theory of Extreme Values

The objective of this study was to analyze the seismic behavior of the Pacific Region of Colombia. For the development of the study, local seismic magnitudes of the departments of Chocó, Valle del Cauca, Cauca, and Nariño were included between the years 1993 and 2018. In this sense, and through the...

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Tipo de recurso:
http://purl.org/coar/resource_type/c_6677
Fecha de publicación:
2022
Institución:
Universidad Pedagógica y Tecnológica de Colombia
Repositorio:
RiUPTC: Repositorio Institucional UPTC
Idioma:
spa
OAI Identifier:
oai:repositorio.uptc.edu.co:001/12357
Acceso en línea:
https://revistas.uptc.edu.co/index.php/ingenieria_sogamoso/article/view/14458
https://repositorio.uptc.edu.co/handle/001/12357
Palabra clave:
Extreme Values Theory
widespread Extreme Values Distribution
Widespread Pareto Distribution
Magnitude
Return Level
Teoría Valores Extremos
Distribución Valores Extremos Generaliza
Distribución de Pareto Generalizada
Magnitud
Nivel de Retorno
Rights
License
http://purl.org/coar/access_right/c_abf178
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spelling 2022-06-302024-07-05T18:48:12Z2024-07-05T18:48:12Zhttps://revistas.uptc.edu.co/index.php/ingenieria_sogamoso/article/view/1445810.19053/1900771X.v22.n1.2022.14458https://repositorio.uptc.edu.co/handle/001/12357The objective of this study was to analyze the seismic behavior of the Pacific Region of Colombia. For the development of the study, local seismic magnitudes of the departments of Chocó, Valle del Cauca, Cauca, and Nariño were included between the years 1993 and 2018. In this sense, and through the extreme value theory, the maximum magnitudes in the seismic events that occurred were analyzed to obtain models that describe the behavior of the observations by using the method of maximum blocks and threshold exceedances, which allows the magnitudes to be associated of each of the departments to a type of distribution such as: Gumbel, Weibull or Frechet, from the Widespread Distribution of Values or Beta, Exponential or Pareto with use of the Generalized Pareto Distribution. The results obtained show return levels of 5.08, 6.03, 6.88 and 7.24 for the return periods of 2, 10, 50 and 100 years, respectively, for the department of Chocó using the maximum block method (Gumbel). Likewise, using the method of threshold exceedances (Exponential), it is estimated that, in 100 years, earthquakes of magnitude equal to or greater than 7.2 on the Richter scale may occur in Chocó.El objetivo de este estudio fue analizar el comportamiento sísmico de la región pacifica de Colombia. Para el desarrollo del estudio se incluyó magnitudes sísmicas locales de los departamentos de Chocó, Valle del Cauca, Cauca y Nariño entre los años 1993 y 2018. En este sentido, y mediante el uso de la teoría de valores extremos, se analizaron las magnitudes máximas en los eventos sísmicos ocurridos para obtener, así, modelos que describen el comportamiento de las observaciones por medio del método de bloques máximos y excedencias del umbral, que permiten asociar las magnitudes máximas de cada uno de los departamentos a un tipo de distribución como lo son: Gumbel, Weibull o Frechet, a partir de Distribución de Valores Generalizada o Beta, Exponencial o Pareto con uso de la Distribución de Pareto Generalizada. Los resultados obtenidos muestran niveles de retorno 5.08, 6.03, 6.88 y 7.24 para los periodos de retorno de 2, 10, 50 y 100 años, respectivamente, para el departamento de Chocó mediante el método de bloque máximo (Gumbel). De igual forma, a través del método de excedencias de umbral (Exponencial), se estima que, en 100 años, pueden ocurrir terremotos en Chocó de magnitud igual o mayor a 7.2 en la escala de Richter.application/pdfspaspaUniversidad Pedagógica y Tecnológica de Colombia - UPTChttps://revistas.uptc.edu.co/index.php/ingenieria_sogamoso/article/view/14458/11793Ingeniería Investigación y Desarrollo; Vol. 22 No. 1 (2022): Enero - Junio; 72-78Ingeniería Investigación y Desarrollo; Vol. 22 Núm. 1 (2022): Enero - Junio; 72-782422-43241900-771XExtreme Values Theorywidespread Extreme Values DistributionWidespread Pareto DistributionMagnitudeReturn LevelTeoría Valores ExtremosDistribución Valores Extremos GeneralizaDistribución de Pareto GeneralizadaMagnitudNivel de RetornoAnalysis of the Maximum Seismic Intensity Through the Theory of Extreme ValuesAnálisis de la intensidad sísmica máxima mediante la teoría de valores extremosinfo:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6677http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a261http://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/access_right/c_abf178http://purl.org/coar/access_right/c_abf2Pérez, Jonathan Alfonso001/12357oai:repositorio.uptc.edu.co:001/123572025-07-18 11:25:46.394metadata.onlyhttps://repositorio.uptc.edu.coRepositorio Institucional UPTCrepositorio.uptc@uptc.edu.co
dc.title.en-US.fl_str_mv Analysis of the Maximum Seismic Intensity Through the Theory of Extreme Values
dc.title.es-ES.fl_str_mv Análisis de la intensidad sísmica máxima mediante la teoría de valores extremos
title Analysis of the Maximum Seismic Intensity Through the Theory of Extreme Values
spellingShingle Analysis of the Maximum Seismic Intensity Through the Theory of Extreme Values
Extreme Values Theory
widespread Extreme Values Distribution
Widespread Pareto Distribution
Magnitude
Return Level
Teoría Valores Extremos
Distribución Valores Extremos Generaliza
Distribución de Pareto Generalizada
Magnitud
Nivel de Retorno
title_short Analysis of the Maximum Seismic Intensity Through the Theory of Extreme Values
title_full Analysis of the Maximum Seismic Intensity Through the Theory of Extreme Values
title_fullStr Analysis of the Maximum Seismic Intensity Through the Theory of Extreme Values
title_full_unstemmed Analysis of the Maximum Seismic Intensity Through the Theory of Extreme Values
title_sort Analysis of the Maximum Seismic Intensity Through the Theory of Extreme Values
dc.subject.en-US.fl_str_mv Extreme Values Theory
widespread Extreme Values Distribution
Widespread Pareto Distribution
Magnitude
Return Level
topic Extreme Values Theory
widespread Extreme Values Distribution
Widespread Pareto Distribution
Magnitude
Return Level
Teoría Valores Extremos
Distribución Valores Extremos Generaliza
Distribución de Pareto Generalizada
Magnitud
Nivel de Retorno
dc.subject.es-ES.fl_str_mv Teoría Valores Extremos
Distribución Valores Extremos Generaliza
Distribución de Pareto Generalizada
Magnitud
Nivel de Retorno
description The objective of this study was to analyze the seismic behavior of the Pacific Region of Colombia. For the development of the study, local seismic magnitudes of the departments of Chocó, Valle del Cauca, Cauca, and Nariño were included between the years 1993 and 2018. In this sense, and through the extreme value theory, the maximum magnitudes in the seismic events that occurred were analyzed to obtain models that describe the behavior of the observations by using the method of maximum blocks and threshold exceedances, which allows the magnitudes to be associated of each of the departments to a type of distribution such as: Gumbel, Weibull or Frechet, from the Widespread Distribution of Values or Beta, Exponential or Pareto with use of the Generalized Pareto Distribution. The results obtained show return levels of 5.08, 6.03, 6.88 and 7.24 for the return periods of 2, 10, 50 and 100 years, respectively, for the department of Chocó using the maximum block method (Gumbel). Likewise, using the method of threshold exceedances (Exponential), it is estimated that, in 100 years, earthquakes of magnitude equal to or greater than 7.2 on the Richter scale may occur in Chocó.
publishDate 2022
dc.date.accessioned.none.fl_str_mv 2024-07-05T18:48:12Z
dc.date.available.none.fl_str_mv 2024-07-05T18:48:12Z
dc.date.none.fl_str_mv 2022-06-30
dc.type.none.fl_str_mv info:eu-repo/semantics/article
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.coarversion.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.coar.spa.fl_str_mv http://purl.org/coar/resource_type/c_6677
dc.type.coarversion.spa.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a261
format http://purl.org/coar/resource_type/c_6677
dc.identifier.none.fl_str_mv https://revistas.uptc.edu.co/index.php/ingenieria_sogamoso/article/view/14458
10.19053/1900771X.v22.n1.2022.14458
dc.identifier.uri.none.fl_str_mv https://repositorio.uptc.edu.co/handle/001/12357
url https://revistas.uptc.edu.co/index.php/ingenieria_sogamoso/article/view/14458
https://repositorio.uptc.edu.co/handle/001/12357
identifier_str_mv 10.19053/1900771X.v22.n1.2022.14458
dc.language.none.fl_str_mv spa
dc.language.iso.none.fl_str_mv spa
language spa
dc.relation.none.fl_str_mv https://revistas.uptc.edu.co/index.php/ingenieria_sogamoso/article/view/14458/11793
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.coar.spa.fl_str_mv http://purl.org/coar/access_right/c_abf178
rights_invalid_str_mv http://purl.org/coar/access_right/c_abf178
http://purl.org/coar/access_right/c_abf2
dc.format.none.fl_str_mv application/pdf
dc.publisher.es-ES.fl_str_mv Universidad Pedagógica y Tecnológica de Colombia - UPTC
dc.source.en-US.fl_str_mv Ingeniería Investigación y Desarrollo; Vol. 22 No. 1 (2022): Enero - Junio; 72-78
dc.source.es-ES.fl_str_mv Ingeniería Investigación y Desarrollo; Vol. 22 Núm. 1 (2022): Enero - Junio; 72-78
dc.source.none.fl_str_mv 2422-4324
1900-771X
institution Universidad Pedagógica y Tecnológica de Colombia
repository.name.fl_str_mv Repositorio Institucional UPTC
repository.mail.fl_str_mv repositorio.uptc@uptc.edu.co
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