Parameterization effects in nonlinear models to describe growth curves
Autor(a) principal: | |
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Data de Publicação: | 2015 |
Outros Autores: | , , , |
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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Acta scientiarum. Technology (Online) |
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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 |
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 |
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 |
dc.format.none.fl_str_mv |
application/pdf image/jpeg |
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) instacron:UEM |
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) |
repository.mail.fl_str_mv |
||actatech@uem.br |
_version_ |
1799315335861501952 |