Proposal for a new non-linear model to describe growth curves

This study was developed with longitudinal data measurements of Norfolk rabbits from birth to 119 days of age to estimate the average growth curve, with the primary objective of proposing a non-linear model. It also selected the most appropriate sigmoidal model to describe the growth of Norfolk rabb...

Full description

Bibliographic Details
Main Authors: André Luiz Pinto dos Santos, Tiago Alessandro Espínola Ferreira, Cícero Carlos Ramos de Brito, Frank Gomes-Silva, Guilherme Rocha Moreira
Format: Article
Language:English
Published: Universidade Federal de Uberlândia 2024-02-01
Series:Bioscience Journal
Subjects:
Online Access:https://seer.ufu.br/index.php/biosciencejournal/article/view/68936
_version_ 1797206145393229824
author André Luiz Pinto dos Santos
Tiago Alessandro Espínola Ferreira
Cícero Carlos Ramos de Brito
Frank Gomes-Silva
Guilherme Rocha Moreira
author_facet André Luiz Pinto dos Santos
Tiago Alessandro Espínola Ferreira
Cícero Carlos Ramos de Brito
Frank Gomes-Silva
Guilherme Rocha Moreira
author_sort André Luiz Pinto dos Santos
collection DOAJ
description This study was developed with longitudinal data measurements of Norfolk rabbits from birth to 119 days of age to estimate the average growth curve, with the primary objective of proposing a non-linear model. It also selected the most appropriate sigmoidal model to describe the growth of Norfolk rabbits. The adjustments provided by the logistic, von Bertalanffy, Gompertz, Brody, Richards, and proposed models were compared. The parameters were estimated using the “nls” function of the “stats” package in R software, the least-squares method, and the Gauss-Newton convergence algorithm. The goodness-of-fit comparison was based on the following criteria: adjusted coefficient of determination (), mean square error (MSE), mean absolute deviation (MAD), Akaike information criterion (AIC), and Bayesian information criterion (BIC). Cluster analysis helped select and classify the non-linear growth models, considering the other goodness-of-fit criteria results. The proposed non-linear, von Bertalanffy, Gompertz, and Richards models described the growth curve of Norfolk rabbits satisfactorily, providing parameters with practical interpretations. The goodness-of-fit criteria showed that the proposed and von Bertalanffy models best represented the growth of rabbits.
first_indexed 2024-03-08T00:45:37Z
format Article
id doaj.art-ed63171e057b4822bae0dc75da60c4dd
institution Directory Open Access Journal
issn 1981-3163
language English
last_indexed 2024-04-24T09:02:22Z
publishDate 2024-02-01
publisher Universidade Federal de Uberlândia
record_format Article
series Bioscience Journal
spelling doaj.art-ed63171e057b4822bae0dc75da60c4dd2024-04-15T21:30:57ZengUniversidade Federal de UberlândiaBioscience Journal1981-31632024-02-0140e40011e4001110.14393/BJ-v40n0a2024-6893670635Proposal for a new non-linear model to describe growth curvesAndré Luiz Pinto dos Santos0https://orcid.org/0000-0002-7703-2102Tiago Alessandro Espínola Ferreira1Cícero Carlos Ramos de Brito2Frank Gomes-Silva3https://orcid.org/0000-0002-3481-3099Guilherme Rocha Moreira4https://orcid.org/0000-0001-6344-1151Universidade Federal Rural de Pernambuco Universidade Federal Rural de Pernambuco Instituto Federal de Pernambuco Universidade Federal Rural de Pernambuco Universidade Federal Rural de Pernambuco This study was developed with longitudinal data measurements of Norfolk rabbits from birth to 119 days of age to estimate the average growth curve, with the primary objective of proposing a non-linear model. It also selected the most appropriate sigmoidal model to describe the growth of Norfolk rabbits. The adjustments provided by the logistic, von Bertalanffy, Gompertz, Brody, Richards, and proposed models were compared. The parameters were estimated using the “nls” function of the “stats” package in R software, the least-squares method, and the Gauss-Newton convergence algorithm. The goodness-of-fit comparison was based on the following criteria: adjusted coefficient of determination (), mean square error (MSE), mean absolute deviation (MAD), Akaike information criterion (AIC), and Bayesian information criterion (BIC). Cluster analysis helped select and classify the non-linear growth models, considering the other goodness-of-fit criteria results. The proposed non-linear, von Bertalanffy, Gompertz, and Richards models described the growth curve of Norfolk rabbits satisfactorily, providing parameters with practical interpretations. The goodness-of-fit criteria showed that the proposed and von Bertalanffy models best represented the growth of rabbits.https://seer.ufu.br/index.php/biosciencejournal/article/view/68936animal growthbiological parameterscluster analysisgrowth curveslongitudinal data.
spellingShingle André Luiz Pinto dos Santos
Tiago Alessandro Espínola Ferreira
Cícero Carlos Ramos de Brito
Frank Gomes-Silva
Guilherme Rocha Moreira
Proposal for a new non-linear model to describe growth curves
Bioscience Journal
animal growth
biological parameters
cluster analysis
growth curves
longitudinal data.
title Proposal for a new non-linear model to describe growth curves
title_full Proposal for a new non-linear model to describe growth curves
title_fullStr Proposal for a new non-linear model to describe growth curves
title_full_unstemmed Proposal for a new non-linear model to describe growth curves
title_short Proposal for a new non-linear model to describe growth curves
title_sort proposal for a new non linear model to describe growth curves
topic animal growth
biological parameters
cluster analysis
growth curves
longitudinal data.
url https://seer.ufu.br/index.php/biosciencejournal/article/view/68936
work_keys_str_mv AT andreluizpintodossantos proposalforanewnonlinearmodeltodescribegrowthcurves
AT tiagoalessandroespinolaferreira proposalforanewnonlinearmodeltodescribegrowthcurves
AT cicerocarlosramosdebrito proposalforanewnonlinearmodeltodescribegrowthcurves
AT frankgomessilva proposalforanewnonlinearmodeltodescribegrowthcurves
AT guilhermerochamoreira proposalforanewnonlinearmodeltodescribegrowthcurves