Research Article Open Access

Nonlinear Growth Models for Modeling Oil Palm Yield Growth

Azme Khamis1, Zuhaimy Ismail2, khalid Haron2 and Ahmad Tarmizi Mohammed1
  • 1 , Afganistan
  • 2 ,
Journal of Mathematics and Statistics
Volume 1 No. 3, 2005, 225-233

DOI: https://doi.org/10.3844/jmssp.2005.225.233

Published On: 30 September 2005

How to Cite: Khamis, A., Ismail, Z., Haron, K. & Mohammed, A. T. (2005). Nonlinear Growth Models for Modeling Oil Palm Yield Growth. Journal of Mathematics and Statistics, 1(3), 225-233. https://doi.org/10.3844/jmssp.2005.225.233

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.

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Keywords

  • Nonlinear growth model
  • partial derivative
  • oil palm yield