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     Research Journal of Applied Sciences, Engineering and Technology


Algorithm for Tree Growth Modeling Based on Random Parameters and ARMA

1Lichun Jiang, 1Fengri Li and 2Yaoxiang Li
1College of Forestry
2College of Engineering and Technology, Northeast Forestry University, Harbin 150040, P.R. China
Research Journal of Applied Sciences, Engineering and Technology  2013  13:2443-2450
http://dx.doi.org/10.19026/rjaset.6.3720  |  © The Author(s) 2013
Received: December 20, 2012  |  Accepted: January 25, 2013  |  Published: August 05, 2013

Abstract

Chapman-Richards function is used to model growth data of dahurian larch (Larix gmelinii Rupr.) from longitudinal measurements using nonlinear mixed-effects modeling approach. The parameter variation in the model was divided into random effects, fixed effects and variance-covariance structure. The values for fixed effects parameters and the variance-covariance matrix of random effects were estimated using NLME function in S-plus software. Autocorrelation structure was considered for explaining the dependency among multiple measurements within the individuals. Information criterion statistics (AIC, BIC and Likelihood ratio test) are used for comparing different structures of the random effects components. These methods are illustrated using the nonlinear mixed-effects methods in S-Plus software. Results showed that the Chapman-Richards model with three random parameters could typically depict the dahurian larch tree growth in northeastern China. The mixed-effects model provided better performance and more precise estimations than the fixed-effects model.

Keywords:

Fixed effects, modeling algorithm, nonlinear mixed effects, random effects, tree growth,


References


Competing interests

The authors have no competing interests.

Open Access Policy

This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Copyright

The authors have no competing interests.

ISSN (Online):  2040-7467
ISSN (Print):   2040-7459
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