Parameter estimation of nonlinear growth models in forestry

Silva Fennica

Volumn 33, Issue 4, 1999, Pages 327-336

  Fekedulegn, Desta ^a   Mac Siurtain, Mairitin P ^c   Colbert, Jim J ^b  

^a WEST VIRGINIA UNIVERSITY   (United States)

^b USDA FOREST SERVICE   (United States)

^c NONE

Author keywords

Marquardt iterative method initial value; Nonlinear model; Parameter estimation; Partial derivative

Indexed keywords

EID: 0012258828     PISSN: 00375330     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (17)

1. Bertalanffy, L. von. 1957. Quantitative laws in metabolism and growth. Quantitative Rev. Biology 32: 218-231.
2. nd edition. John Wiley & Sons Inc. New York. 709 p.
3. Fekedulegn, D. 1996. Theoretical nonlinear mathematical models in forest growth and yield modelling. Thesis, Department of Crop Science, Horticulture and Forestry, University College Dublin, Ireland. 200 p.
4. Kramer, P.J. & Kozlowski, T.T. 1979. Physiology of woody plants. Academic Press, New York. 811 p.
5. Marquardt, D.W. 1963. An algorithm for least squares estimation of nonlinear parameters. Journal of the Society of Industrial Applied Mathematics 2: 431-441.
6. Martin, G.L. & Ek, A.R. 1984. A comparison of competition measures and growth models for predicting plantation red wine diameter and height growth. Forest Science 30: 731-743.
7. Methley, J. 1996. Bowmont sample plot data-end user license for data release. Forestry Commission Research Division, 12 June 1996, England.
8. Myers, R.H. 1986. Classical and modern regression with applications. Duxubury Press, Boston. 359 p.
9. Nelder, J.A. 1961. The fitting of a generalization of the logistic curve. Biometrics 17: 89-110.
10. Oliver, F.R. 1964. Methods of estimating the logistic function. Applied statistics 13: 57-66.
11. nd edition. CAB International, Wallingford, UK. 310 p.
12. Phillips, B.F. & Campbell, N.A. 1968. A new method of fitting the von Bertelanffy growth curve using data on the whelk. Dicathais, Growth 32: 317-329.
13. Ratkowsky, D.A. 1983. Nonlinear regression modelling. Marcel Dekker, New York. 276 p.
14. _ 1990. Hand book of nonlinear regression modelling. Marcel Dekker, New York. 241 p.
15. Richards, F.J. 1959. A flexible growth function for empirical use. Journal of Experimental Botany 10: 290-300.
16. th edition. Vol. 1. SAS Institute Inc., Cary, NC. 548 p.
17. Vanclay, J.K. 1994. Modelling forest growth and yield. CAB International, Wallingford, UK. 380 p.