Description of the peach fruit growth curve by diphasic sigmoidal nonlinear models

Detalhes bibliográficos
Autor(a) principal: Fernandes, Jaqueline Gonçalves
Data de Publicação: 2022
Outros Autores: Silva, Édipo Menezes da, Ribeiro, Thais Destefani, Silva, Edilson Marcelino, Fernandes, Tales Jesus, Muniz, Joel Augusto
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFLA
Texto Completo: http://repositorio.ufla.br/jspui/handle/1/50871
Resumo: The aim of this study was to describe the growth curve of “Aurora 1” peaches using fruit height and diameter data over time through diphasic sigmoidal models constructed from eight combinations of the following models: Brody, Gompertz and Logistic. Data were obtained from an experiment carried out in 2005 in the municipality of Vista Alegre do Alto, São Paulo, Brazil. The parameters of models were adjusted by the least squares method using the Gauss-Newton algorithm implemented in the R software. Assumptions of normality, homogeneity and independence of residues were verified based on Shapiro-Wilk, Breush and Pagan and Durbin-Watson tests, respectively. The goodness of fit of models was verified according to the corrected Akaike information criterion (AICc), residual standard deviation (RSD), asymptote adjustment index (AI) and nonlinearity measures. All models adjusted for both fruit height and diameter variables met the assumptions of normality, independence and homoscedasticity of errors. In addition, all of them present good quality of fit to fruit height and diameter data, since they presented AI values close to one and low RSD values and non-linearity measures. However, the double Gompertz (GG) and the Logistic + Gompertz (LG) models presented, respectively, the best quality of fit to fruit height and diameter data in relation to the other models. It could be concluded that all diphasic sigmoidal models evaluated showed good fit to height and diameter data and can be used to describe the growth curve of “Aurora-1” peaches, according to goodness of fit criteria. However, it is important to highlight that GG and LG models presented the best quality of fit and can be selected to describe the height and diameter growth of “Aurora 1” peach fruits, respectively, with maximum expected growth close to 63 mm in height and 48 mm in diameter.
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spelling Description of the peach fruit growth curve by diphasic sigmoidal nonlinear modelsDescrição da curva de crescimento do fruto do pessegueiro via modelos não lineares sigmoidais difásicosPeach growthDouble Gompertz ModelDouble Sigmoidal ModelPêssego - CrescimentoModelo Duplo GompertzModelo Sigmoidal DuploThe aim of this study was to describe the growth curve of “Aurora 1” peaches using fruit height and diameter data over time through diphasic sigmoidal models constructed from eight combinations of the following models: Brody, Gompertz and Logistic. Data were obtained from an experiment carried out in 2005 in the municipality of Vista Alegre do Alto, São Paulo, Brazil. The parameters of models were adjusted by the least squares method using the Gauss-Newton algorithm implemented in the R software. Assumptions of normality, homogeneity and independence of residues were verified based on Shapiro-Wilk, Breush and Pagan and Durbin-Watson tests, respectively. The goodness of fit of models was verified according to the corrected Akaike information criterion (AICc), residual standard deviation (RSD), asymptote adjustment index (AI) and nonlinearity measures. All models adjusted for both fruit height and diameter variables met the assumptions of normality, independence and homoscedasticity of errors. In addition, all of them present good quality of fit to fruit height and diameter data, since they presented AI values close to one and low RSD values and non-linearity measures. However, the double Gompertz (GG) and the Logistic + Gompertz (LG) models presented, respectively, the best quality of fit to fruit height and diameter data in relation to the other models. It could be concluded that all diphasic sigmoidal models evaluated showed good fit to height and diameter data and can be used to describe the growth curve of “Aurora-1” peaches, according to goodness of fit criteria. However, it is important to highlight that GG and LG models presented the best quality of fit and can be selected to describe the height and diameter growth of “Aurora 1” peach fruits, respectively, with maximum expected growth close to 63 mm in height and 48 mm in diameter.Objetivou-se descrever a curva de crescimento de pêssegos “Aurora 1”, utilizando dados de altura e diâmetro do fruto ao longo do tempo, através de modelos sigmoidais difásicos contruídos a partir de oito combinações dos modelos: Brody, Gompertz e Logístico. Os dados deste estudo foram obtidos de um experimento realizado em 2005, no município de Vista Alegre do Alto, São Paulo, Brasil. Os parâmetros dos modelos foram ajustados pelo método de mínimos quadrados, utilizando o algoritmo de Gauss-Newton, implementados no software R. Os pressupostos de normalidade, homogeneidade e independência dos resíduos foram verificados com base nos testes de Shapiro-Wilk, Breush e Pagan e Durbin-Watson, respectivamente. A comparação dos ajustes dos modelos foi verificada de acordo com o critério de informação de Akaike corrigido (AICc), desvio padrão residual (DPR), índice de ajuste da assíntota (IA) e medidas de não linearidade. Todos os modelos ajustados para ambas as variáveis altura e diâmetro do fruto atenderam às pressuposições de normalidade, independência e homocedasticidade dos erros. Além disso, todos eles apresentam boa qualidade de ajuste aos dados de altura e diâmetro do fruto, visto que apresentaram valores de IA próximos de um e baixos valores do DPR e de medidas de não linearidade. Contudo, o modelo duplo Gompertz (GG) e o modelo Logístico + Gompertz (LG) apresentaram, respectivamente, a melhor qualidade de ajuste aos dados de altura e diâmetro do fruto, em relação aos demais modelos avaliados. Conclui-se que todos os modelos sigmoidais difásicos avaliados apresentaram bom ajuste aos dados de altura e diâmetro e podem ser utilizados para a descrição da curva de crescimento de pêssegos “Aurora-1”, segundo os critérios de qualidade de ajuste. No entanto, é importante destacar que os modelos GG e LG apresentaram a melhor qualidade de ajuste e podem ser preferidos para descrever o crescimento em altura e diâmetro dos frutos de pêssego “Aurora 1”, respectivamente, com crescimento máximo esperado próximos de 63 mm de altura e 48 mm de diâmetro.Sociedade Brasileira de Fruticultura2022-08-05T22:42:09Z2022-08-05T22:42:09Z2022info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfFERNANDES, J. G. et al. Description of the peach fruit growth curve by diphasic sigmoidal nonlinear models. Revista Brasileira de Fruticultura, Jaboticabal, v. 44, n. 3, 2022. DOI: 10.1590/0100-29452022875.http://repositorio.ufla.br/jspui/handle/1/50871Revista Brasileira de Fruticulturareponame:Repositório Institucional da UFLAinstname:Universidade Federal de Lavras (UFLA)instacron:UFLAAttribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessFernandes, Jaqueline GonçalvesSilva, Édipo Menezes daRibeiro, Thais DestefaniSilva, Edilson MarcelinoFernandes, Tales JesusMuniz, Joel Augustoeng2022-08-05T22:42:09Zoai:localhost:1/50871Repositório InstitucionalPUBhttp://repositorio.ufla.br/oai/requestnivaldo@ufla.br || repositorio.biblioteca@ufla.bropendoar:2022-08-05T22:42:09Repositório Institucional da UFLA - Universidade Federal de Lavras (UFLA)false
dc.title.none.fl_str_mv Description of the peach fruit growth curve by diphasic sigmoidal nonlinear models
Descrição da curva de crescimento do fruto do pessegueiro via modelos não lineares sigmoidais difásicos
title Description of the peach fruit growth curve by diphasic sigmoidal nonlinear models
spellingShingle Description of the peach fruit growth curve by diphasic sigmoidal nonlinear models
Fernandes, Jaqueline Gonçalves
Peach growth
Double Gompertz Model
Double Sigmoidal Model
Pêssego - Crescimento
Modelo Duplo Gompertz
Modelo Sigmoidal Duplo
title_short Description of the peach fruit growth curve by diphasic sigmoidal nonlinear models
title_full Description of the peach fruit growth curve by diphasic sigmoidal nonlinear models
title_fullStr Description of the peach fruit growth curve by diphasic sigmoidal nonlinear models
title_full_unstemmed Description of the peach fruit growth curve by diphasic sigmoidal nonlinear models
title_sort Description of the peach fruit growth curve by diphasic sigmoidal nonlinear models
author Fernandes, Jaqueline Gonçalves
author_facet Fernandes, Jaqueline Gonçalves
Silva, Édipo Menezes da
Ribeiro, Thais Destefani
Silva, Edilson Marcelino
Fernandes, Tales Jesus
Muniz, Joel Augusto
author_role author
author2 Silva, Édipo Menezes da
Ribeiro, Thais Destefani
Silva, Edilson Marcelino
Fernandes, Tales Jesus
Muniz, Joel Augusto
author2_role author
author
author
author
author
dc.contributor.author.fl_str_mv Fernandes, Jaqueline Gonçalves
Silva, Édipo Menezes da
Ribeiro, Thais Destefani
Silva, Edilson Marcelino
Fernandes, Tales Jesus
Muniz, Joel Augusto
dc.subject.por.fl_str_mv Peach growth
Double Gompertz Model
Double Sigmoidal Model
Pêssego - Crescimento
Modelo Duplo Gompertz
Modelo Sigmoidal Duplo
topic Peach growth
Double Gompertz Model
Double Sigmoidal Model
Pêssego - Crescimento
Modelo Duplo Gompertz
Modelo Sigmoidal Duplo
description The aim of this study was to describe the growth curve of “Aurora 1” peaches using fruit height and diameter data over time through diphasic sigmoidal models constructed from eight combinations of the following models: Brody, Gompertz and Logistic. Data were obtained from an experiment carried out in 2005 in the municipality of Vista Alegre do Alto, São Paulo, Brazil. The parameters of models were adjusted by the least squares method using the Gauss-Newton algorithm implemented in the R software. Assumptions of normality, homogeneity and independence of residues were verified based on Shapiro-Wilk, Breush and Pagan and Durbin-Watson tests, respectively. The goodness of fit of models was verified according to the corrected Akaike information criterion (AICc), residual standard deviation (RSD), asymptote adjustment index (AI) and nonlinearity measures. All models adjusted for both fruit height and diameter variables met the assumptions of normality, independence and homoscedasticity of errors. In addition, all of them present good quality of fit to fruit height and diameter data, since they presented AI values close to one and low RSD values and non-linearity measures. However, the double Gompertz (GG) and the Logistic + Gompertz (LG) models presented, respectively, the best quality of fit to fruit height and diameter data in relation to the other models. It could be concluded that all diphasic sigmoidal models evaluated showed good fit to height and diameter data and can be used to describe the growth curve of “Aurora-1” peaches, according to goodness of fit criteria. However, it is important to highlight that GG and LG models presented the best quality of fit and can be selected to describe the height and diameter growth of “Aurora 1” peach fruits, respectively, with maximum expected growth close to 63 mm in height and 48 mm in diameter.
publishDate 2022
dc.date.none.fl_str_mv 2022-08-05T22:42:09Z
2022-08-05T22:42:09Z
2022
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv FERNANDES, J. G. et al. Description of the peach fruit growth curve by diphasic sigmoidal nonlinear models. Revista Brasileira de Fruticultura, Jaboticabal, v. 44, n. 3, 2022. DOI: 10.1590/0100-29452022875.
http://repositorio.ufla.br/jspui/handle/1/50871
identifier_str_mv FERNANDES, J. G. et al. Description of the peach fruit growth curve by diphasic sigmoidal nonlinear models. Revista Brasileira de Fruticultura, Jaboticabal, v. 44, n. 3, 2022. DOI: 10.1590/0100-29452022875.
url http://repositorio.ufla.br/jspui/handle/1/50871
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Attribution 4.0 International
http://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 Sociedade Brasileira de Fruticultura
publisher.none.fl_str_mv Sociedade Brasileira de Fruticultura
dc.source.none.fl_str_mv Revista Brasileira de Fruticultura
reponame:Repositório Institucional da UFLA
instname:Universidade Federal de Lavras (UFLA)
instacron:UFLA
instname_str Universidade Federal de Lavras (UFLA)
instacron_str UFLA
institution UFLA
reponame_str Repositório Institucional da UFLA
collection Repositório Institucional da UFLA
repository.name.fl_str_mv Repositório Institucional da UFLA - Universidade Federal de Lavras (UFLA)
repository.mail.fl_str_mv nivaldo@ufla.br || repositorio.biblioteca@ufla.br
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