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Desta Fekedulegn (email), Mairitin P. Mac Siurtain, Jim J. Colbert

Parameter estimation of nonlinear growth models in forestry

Fekedulegn D., Mac Siurtain M.P., Colbert J.J. (1999). Parameter estimation of nonlinear growth models in forestry. Silva Fennica vol. 33 no. 4 article id 653. https://doi.org/10.14214/sf.653

Abstract

Partial derivatives of the negative exponential, monomolecular, Mitcherlich, Gompertz, logistic, Chapman-Richards, von Bertalanffy, Weibull and the Richard’s nonlinear growth models are presented. The application of these partial derivatives in estimating the model parameters is illustrated. The parameters are estimated using the Marquardt iterative method of nonlinear regression relating top height to age of Norway spruce (Picea abies L.) from the Bowmont Norway Spruce Thinning Experiment. Formulas that provide good initial values of the parameters are specified. Clear definitions of the parameters of the nonlinear models in the context of the system being modelled are found to be critically important in the process of parameter estimation.

Keywords
parameter estimation; nonlinear model; partial derivative; Marquardt iterative method; initial value

Author Info
  • Fekedulegn, Department of Statistics, West Virginia University, Eberly College of Arts and Sciences, P.O. Box 6330, Morgantown, WV26506, USA ORCID ID:E-mail fdesta@stat.wvu.edu (email)
  • Mac Siurtain, University College Dublin, Ireland ORCID ID:
  • Colbert, USDA Forest Service, Northeastern Research Station, Morgantown, West Virginia ORCID ID:

Received 9 February 1998 Accepted 5 November 1999 Published 31 December 1999

Available at https://doi.org/10.14214/sf.653 | Download PDF

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