Abstract
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.
Highlights
The classical growth models, such as Logistic model (NELDER, 1961) and Gompertz model (LAIRD, 1965), have long been used to describe various biological processes of animals and plants
Through the differential equations of the model and Logistic model Gompertz we obtained a relationship with the Chanter model differential equation
The Logistic model comes from the following differential equation, (10) and the Gompertz model comes from this other differential equation
Summary
The classical growth models, such as Logistic model (NELDER, 1961) and Gompertz model (LAIRD, 1965), have long been used to describe various biological processes of animals and plants They can be adjusted data with relative ease, using standard software statistical, and its parameters exhibit considerable biological interpretability. FERNANDES et al (2017), MUIANGA et al (2016) and PRADO et al (2013) adjusted the Logistic and Gompertz models to the growth data of coffee fruit, cashew fruit and green dwarf coconut fruit, respectively. In these last two works the Logistic model was better fitted to the data
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