Parameterization effects in nonlinear models to describe growth curves

Detalhes bibliográficos
Autor(a) principal: Fernandes, Tales Jesus
Data de Publicação: 2015
Outros Autores: Muniz, Joel Augusto, Pereira, Adriele Aparecida, Muniz, Fabiana Rezende, Muianga, Carlos Alberto
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Acta scientiarum. Technology (Online)
Texto Completo: http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/27855
Resumo: Various parameterizations of nonlinear models are common in the literature.In addition to complicating the understanding of these models, these parameterizations affect the nonlinearity measures and subsequently the inferences about the parameters. Bates and Watts (1980) quantified model nonlinearity using the geometric concept of curvature. Here we aimed to evaluate the three most common parameterizations of the Logistic and Gompertz nonlinear models with a focus on their nonlinearity and how this might affect inferences, and to establish relations between the parameters under the various expressions of the models. All parameterizations were adjusted to the growth data from pequi fruit. The intrinsic and parametric curvature described by Bates and Watts were calculated for each parameter. The choice of parameterization affects the nonlinearity measures, thus influencing the reliability and inferences about the estimated parameters. The most used methodologies presented the highest distance from linearity, showing the importance of analyzing these measures in any growth curve study. We propose that the parameterization in which the estimate of B is the abscissa of the inflection point should be used because of the lower deviations from linearity and direct biological interpretation for all parameters. 
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spelling Parameterization effects in nonlinear models to describe growth curvesbiological interpretationGompertz modellogistic modelmeasures of curvaturenonlinearity.EstatísticaVarious parameterizations of nonlinear models are common in the literature.In addition to complicating the understanding of these models, these parameterizations affect the nonlinearity measures and subsequently the inferences about the parameters. Bates and Watts (1980) quantified model nonlinearity using the geometric concept of curvature. Here we aimed to evaluate the three most common parameterizations of the Logistic and Gompertz nonlinear models with a focus on their nonlinearity and how this might affect inferences, and to establish relations between the parameters under the various expressions of the models. All parameterizations were adjusted to the growth data from pequi fruit. The intrinsic and parametric curvature described by Bates and Watts were calculated for each parameter. The choice of parameterization affects the nonlinearity measures, thus influencing the reliability and inferences about the estimated parameters. The most used methodologies presented the highest distance from linearity, showing the importance of analyzing these measures in any growth curve study. We propose that the parameterization in which the estimate of B is the abscissa of the inflection point should be used because of the lower deviations from linearity and direct biological interpretation for all parameters. Universidade Estadual De Maringá2015-10-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfimage/jpeghttp://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/2785510.4025/actascitechnol.v37i4.27855Acta Scientiarum. Technology; Vol 37 No 4 (2015); 397-402Acta Scientiarum. Technology; v. 37 n. 4 (2015); 397-4021806-25631807-8664reponame:Acta scientiarum. Technology (Online)instname:Universidade Estadual de Maringá (UEM)instacron:UEMenghttp://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/27855/pdf_119http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/27855/751375144050Fernandes, Tales JesusMuniz, Joel AugustoPereira, Adriele AparecidaMuniz, Fabiana RezendeMuianga, Carlos Albertoinfo:eu-repo/semantics/openAccess2016-01-27T07:50:38Zoai:periodicos.uem.br/ojs:article/27855Revistahttps://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/indexPUBhttps://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/oai||actatech@uem.br1807-86641806-2563opendoar:2016-01-27T07:50:38Acta scientiarum. Technology (Online) - Universidade Estadual de Maringá (UEM)false
dc.title.none.fl_str_mv Parameterization effects in nonlinear models to describe growth curves
title Parameterization effects in nonlinear models to describe growth curves
spellingShingle Parameterization effects in nonlinear models to describe growth curves
Fernandes, Tales Jesus
biological interpretation
Gompertz model
logistic model
measures of curvature
nonlinearity.
Estatística
title_short Parameterization effects in nonlinear models to describe growth curves
title_full Parameterization effects in nonlinear models to describe growth curves
title_fullStr Parameterization effects in nonlinear models to describe growth curves
title_full_unstemmed Parameterization effects in nonlinear models to describe growth curves
title_sort Parameterization effects in nonlinear models to describe growth curves
author Fernandes, Tales Jesus
author_facet Fernandes, Tales Jesus
Muniz, Joel Augusto
Pereira, Adriele Aparecida
Muniz, Fabiana Rezende
Muianga, Carlos Alberto
author_role author
author2 Muniz, Joel Augusto
Pereira, Adriele Aparecida
Muniz, Fabiana Rezende
Muianga, Carlos Alberto
author2_role author
author
author
author
dc.contributor.author.fl_str_mv Fernandes, Tales Jesus
Muniz, Joel Augusto
Pereira, Adriele Aparecida
Muniz, Fabiana Rezende
Muianga, Carlos Alberto
dc.subject.por.fl_str_mv biological interpretation
Gompertz model
logistic model
measures of curvature
nonlinearity.
Estatística
topic biological interpretation
Gompertz model
logistic model
measures of curvature
nonlinearity.
Estatística
description Various parameterizations of nonlinear models are common in the literature.In addition to complicating the understanding of these models, these parameterizations affect the nonlinearity measures and subsequently the inferences about the parameters. Bates and Watts (1980) quantified model nonlinearity using the geometric concept of curvature. Here we aimed to evaluate the three most common parameterizations of the Logistic and Gompertz nonlinear models with a focus on their nonlinearity and how this might affect inferences, and to establish relations between the parameters under the various expressions of the models. All parameterizations were adjusted to the growth data from pequi fruit. The intrinsic and parametric curvature described by Bates and Watts were calculated for each parameter. The choice of parameterization affects the nonlinearity measures, thus influencing the reliability and inferences about the estimated parameters. The most used methodologies presented the highest distance from linearity, showing the importance of analyzing these measures in any growth curve study. We propose that the parameterization in which the estimate of B is the abscissa of the inflection point should be used because of the lower deviations from linearity and direct biological interpretation for all parameters. 
publishDate 2015
dc.date.none.fl_str_mv 2015-10-01
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dc.identifier.uri.fl_str_mv http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/27855
10.4025/actascitechnol.v37i4.27855
url http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/27855
identifier_str_mv 10.4025/actascitechnol.v37i4.27855
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/27855/pdf_119
http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/27855/751375144050
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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dc.publisher.none.fl_str_mv Universidade Estadual De Maringá
publisher.none.fl_str_mv Universidade Estadual De Maringá
dc.source.none.fl_str_mv Acta Scientiarum. Technology; Vol 37 No 4 (2015); 397-402
Acta Scientiarum. Technology; v. 37 n. 4 (2015); 397-402
1806-2563
1807-8664
reponame:Acta scientiarum. Technology (Online)
instname:Universidade Estadual de Maringá (UEM)
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instname_str Universidade Estadual de Maringá (UEM)
instacron_str UEM
institution UEM
reponame_str Acta scientiarum. Technology (Online)
collection Acta scientiarum. Technology (Online)
repository.name.fl_str_mv Acta scientiarum. Technology (Online) - Universidade Estadual de Maringá (UEM)
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