Nonlinear growth models for modeling oil palm yield 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. Twelve nonlinear growth models and its partial derivatives for oil palm y...

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Main Authors: Khamis, Azme, Ismail, Zuhaimy, Haron, Khalid, Mohammed, Ahmad Tarmizi
Format: Article
Language:English
Published: Science Publications 2005
Subjects:
Online Access:http://eprints.utm.my/2911/1/AzmeKhamis2005_NonlinerGrowthModelsForModeling.pdf
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author Khamis, Azme
Ismail, Zuhaimy
Haron, Khalid
Mohammed, Ahmad Tarmizi
author_facet Khamis, Azme
Ismail, Zuhaimy
Haron, Khalid
Mohammed, Ahmad Tarmizi
author_sort Khamis, Azme
collection ePrints
description 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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spelling utm.eprints-29112010-10-13T07:21:17Z http://eprints.utm.my/2911/ Nonlinear growth models for modeling oil palm yield growth Khamis, Azme Ismail, Zuhaimy Haron, Khalid Mohammed, Ahmad Tarmizi QA Mathematics 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 Science Publications 2005 Article PeerReviewed application/pdf en http://eprints.utm.my/2911/1/AzmeKhamis2005_NonlinerGrowthModelsForModeling.pdf Khamis, Azme and Ismail, Zuhaimy and Haron, Khalid and Mohammed, Ahmad Tarmizi (2005) Nonlinear growth models for modeling oil palm yield growth. Journal of Mathematics and Statistics, 1 (3). pp. 225-233. ISSN 1549-3644 http://www.scipub.org/fulltext/jms2/jms213225-233.pdf
spellingShingle QA Mathematics
Khamis, Azme
Ismail, Zuhaimy
Haron, Khalid
Mohammed, Ahmad Tarmizi
Nonlinear growth models for modeling oil palm yield growth
title Nonlinear growth models for modeling oil palm yield growth
title_full Nonlinear growth models for modeling oil palm yield growth
title_fullStr Nonlinear growth models for modeling oil palm yield growth
title_full_unstemmed Nonlinear growth models for modeling oil palm yield growth
title_short Nonlinear growth models for modeling oil palm yield growth
title_sort nonlinear growth models for modeling oil palm yield growth
topic QA Mathematics
url http://eprints.utm.my/2911/1/AzmeKhamis2005_NonlinerGrowthModelsForModeling.pdf
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