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

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

Abstract | View details | Full text in PDF | Author Info

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.

Fekedulegn, Department of Statistics, West Virginia University, Eberly College of Arts and Sciences, P.O. Box 6330, Morgantown, WV26506, USA E-mail: fdesta@stat.wvu.edu
Mac Siurtain, University College Dublin, Ireland E-mail: mpms@nn.ie
Colbert, USDA Forest Service, Northeastern Research Station, Morgantown, West Virginia E-mail: jjc@nn.us

Click this link to register to Silva Fennica.

If you are a registered user, log in to save your selected articles for later access.

Contents alert

Your selected articles
Send to email

Kangas Y., (1966) Felling volume and its structure in the Finnish .. Silva Fennica vol. no. 120 article id 4734 (remove) | Edit comment

Saari E., (1923) Forest fires in Finland with special reference t.. Acta Forestalia Fennica vol. 26 no. 5 article id 7093 (remove) | Edit comment

Rompaey R. S.A.R. v., (1996) Need for integrated policy oriented national res.. Silva Fennica vol. 30 no. 2–3 article id 5596 (remove) | Edit comment

Forsström P., Peltoniemi J. et al. (2019) Seasonal dynamics of lingonberry and blueberry s.. Silva Fennica vol. 53 no. 2 article id 10150 (remove) | Edit comment

Bai C., You S. et al. (2020) Life form dynamics of the tree layer in evergree.. Silva Fennica vol. 54 no. 2 article id 10167 (remove) | Edit comment

Maltamo M., (1997) Comparing basal area diameter distributions esti.. Silva Fennica vol. 31 no. 1 article id 5609 (remove) | Edit comment

Ao Y., Hirst P. M. et al. (2018) Combined effects of provenance and slow-release .. Silva Fennica vol. 52 no. 5 article id 10034 (remove) | Edit comment

Malinen J., Haring M. et al. (2015) Comparison of alternative roundwood pricing syst.. Silva Fennica vol. 49 no. 3 article id 1293 (remove) | Edit comment

Toppinen A., Hänninen R. et al. (1996) A dynamic forecasting model for the Finnish pulp.. Silva Fennica vol. 30 no. 4 article id 5570 (remove) | Edit comment

Manner J., Lundström H. (2025) The effect of boom-tip control on harvester time.. Silva Fennica vol. 59 no. 1 article id 24062 (remove) | Edit comment

Hokkanen T. J., Järvinen E. et al. (1995) Properties of top soil and the relationship betw.. Silva Fennica vol. 29 no. 3 article id 5556 (remove) | Edit comment

Follow @SilvaFennica