Abstract
This study provided the basic needs of parameters estimation for nonlinear growth model such as partial derivatives of each model, determination of initial values for each parameter and statistical tests of industrial usage. Twelve nonlinear growth models and its partial derivatives for oil palm yield growth are presented in this study. The parameters are estimated using the Marquardt iterative method of nonlinear regression relating oil palm yield growth data. The best model was selected based on the model performance and it can be used to estimate the oil palm yield at any age of oil palm. This study found that the Gompertz, logistic, log-logistic, Morgan-Mercer-Flodin and Chapman-Richard growth models have the ability for quantifying a growth phenomenon that exhibit a sigmoid pattern over time. Based on the statistical testing and goodness of fit, the best model is the Logistic model and followed by the Gompertz model, Morgan-Mercer-Flodin, Chapman-Richard (with initial stage) and Log-logistic growth models.
Highlights
Growth model methodology has been widely used in the modeling of plant growth
This study provided the basic needs of parameters estimation for nonlinear growth model such as partial derivatives of each model, determination of initial values for each parameter and statistical tests of industrial usage
The least squares estimates of the parameters of the nonlinear models for oil palm yield-age relationship are given in Table 6 and 7
Summary
Since growth of living things are normally nonlinear, it is reasonable to explore the use of nonlinear growth model to oil palm yield. Modeling of the growth in other disciplines and application here a considerable potential for modeling of the Fresh Fruit Bunches (FFB) growth and oil palm yield. This is partly attributed to the fact that the statistical methodology used for fitting nonlinear models to oil palm growth data is closely related to the mathematics of the models and not explored yet. From our exploratory study on modeling practices, little work has been reported on modeling the oil palm yield growth. While research in modeling tobacco growth data was done by[3,4]
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