Chanter model: nonlinear modeling of the fruit growth of cocoa

ABSTRACT: The growth of plants and animals can be described through a growth curve. This curve is given by the equation of a nonlinear model, such as the Logistic model and the Gompertz model. The objective of this study was to adjust the Chanter model, as well as Logistic and Gompertz, using a set...

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Main Authors: Pollyane Vieira da Silva, Taciana Villela Savian
Format: Article
Language:English
Published: Universidade Federal de Santa Maria
Series:Ciência Rural
Subjects:
Online Access:http://www.scielo.br/pdf/cr/v49n11/1678-4596-cr-49-11-e20190409.pdf
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author Pollyane Vieira da Silva
Taciana Villela Savian
author_facet Pollyane Vieira da Silva
Taciana Villela Savian
author_sort Pollyane Vieira da Silva
collection DOAJ
description ABSTRACT: The growth of plants and animals can be described through a growth curve. This curve is given by the equation of a nonlinear model, such as the Logistic model and the Gompertz model. The objective of this study was to adjust the Chanter model, as well as Logistic and Gompertz, using a set of cocoa (clone Sial-105) fruit whose length and diameter measurements were evaluated from 30 to 180 days after pollination, every 15 days. The Chanter model is a hybrid between the Logistic model and Gompertz model whose parameters can be interpreted similarly. A comparison of the quality of fit between the models was made using the following statistical measures: the Akaike’s information criterion (AIC), the Akaike’s weights criterion, Bayesian information criterion (BIC), residual standard deviation (RSD),the adjusted coefficient of determination (R²aj) and the measures of non-linearity Box’s bias and curvature of Bates and Watts. It was verified that the Chanter model is the most suitable one among the studied models for modeling the cocoa data.
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spelling doaj.art-a96eb5059a1e4a688892d290154aec9c2022-12-21T18:43:21ZengUniversidade Federal de Santa MariaCiência Rural1678-459610.1590/0103-8478cr20190409Chanter model: nonlinear modeling of the fruit growth of cocoaPollyane Vieira da SilvaTaciana Villela SavianABSTRACT: The growth of plants and animals can be described through a growth curve. This curve is given by the equation of a nonlinear model, such as the Logistic model and the Gompertz model. The objective of this study was to adjust the Chanter model, as well as Logistic and Gompertz, using a set of cocoa (clone Sial-105) fruit whose length and diameter measurements were evaluated from 30 to 180 days after pollination, every 15 days. The Chanter model is a hybrid between the Logistic model and Gompertz model whose parameters can be interpreted similarly. A comparison of the quality of fit between the models was made using the following statistical measures: the Akaike’s information criterion (AIC), the Akaike’s weights criterion, Bayesian information criterion (BIC), residual standard deviation (RSD),the adjusted coefficient of determination (R²aj) and the measures of non-linearity Box’s bias and curvature of Bates and Watts. It was verified that the Chanter model is the most suitable one among the studied models for modeling the cocoa data.http://www.scielo.br/pdf/cr/v49n11/1678-4596-cr-49-11-e20190409.pdfnonlinear regressionChanter modelnonlinearity and cocoa fruits measures
spellingShingle Pollyane Vieira da Silva
Taciana Villela Savian
Chanter model: nonlinear modeling of the fruit growth of cocoa
Ciência Rural
nonlinear regression
Chanter model
nonlinearity and cocoa fruits measures
title Chanter model: nonlinear modeling of the fruit growth of cocoa
title_full Chanter model: nonlinear modeling of the fruit growth of cocoa
title_fullStr Chanter model: nonlinear modeling of the fruit growth of cocoa
title_full_unstemmed Chanter model: nonlinear modeling of the fruit growth of cocoa
title_short Chanter model: nonlinear modeling of the fruit growth of cocoa
title_sort chanter model nonlinear modeling of the fruit growth of cocoa
topic nonlinear regression
Chanter model
nonlinearity and cocoa fruits measures
url http://www.scielo.br/pdf/cr/v49n11/1678-4596-cr-49-11-e20190409.pdf
work_keys_str_mv AT pollyanevieiradasilva chantermodelnonlinearmodelingofthefruitgrowthofcocoa
AT tacianavillelasavian chantermodelnonlinearmodelingofthefruitgrowthofcocoa