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Articles containing the keyword 'Marquardt iterative method'

Category : Research note

article id 653, category Research note

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

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Romakkaniemi P., (1986) The susceptibility of Betula pendula and B. pube.. Silva Fennica vol. 20 no. 1 article id 5258 (remove) | Edit comment

Kärkkäinen M., (1976) Density and moisture content of wood and bark, a.. Silva Fennica vol. 10 no. 3 article id 4948 (remove) | Edit comment

Lassila I., (1929) The influence of forest site type on the weight .. Acta Forestalia Fennica vol. 36 no. 1 article id 7259 (remove) | Edit comment

Kilkki P., Päivinen R. (1986) Weibull function in the estimation of the basal .. Silva Fennica vol. 20 no. 2 article id 5270 (remove) | Edit comment

Kärkkäinen M., (1973) The size of stems in estimating the time consump.. Silva Fennica vol. 7 no. 1 article id 4874 (remove) | Edit comment

Tanabe J., Ishiguri F. et al. (2018) Within-tree radial and among-family variations i.. Silva Fennica vol. 52 no. 2 article id 9914 (remove) | Edit comment

Kärkkäinen M., (1978) Observations on the effect of age on the basic d.. Silva Fennica vol. 12 no. 1 article id 4989 (remove) | Edit comment

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