Model name |
Form |
Reference |
Eq. |
Bertalanffy |
|
Von Bertalanffy (1957)VON BERTALANFFY, L. Quantitative laws in metabolism and growth. Q. Rev. Biol. V. 32, n. 3, p. 217-231, 1957.
|
(3) |
Curtis |
|
Curtis (1967) |
(4) |
Meyer |
|
Meyer (1940)MEYER, W. A mathematical expression for height curves. J. For., V. 38, p. 415-420, 1940.
|
(5) |
Michailoff |
|
MIchailoff (1943)MICHAILOFF, I. Zahlenmassiges verfahren fur die ausfuhrung der bestandeshohenkurven forstw. Forstwissenschaftliches Centralblatt und Tharandter Forstliches Jahrbuch, V. 6, p. 273-279, 1943.
|
(6) |
Michaelis-Menten (MM) |
|
Michaeli and Menten (1913)MICHAELIS, L.; MENTEN, M.L. Die kinetik der invertinwirkung. Biochem Z, V. 49, p. 333-369, 1913.
|
(7) |
Naslund |
|
Näslund (1936NÄSLUND, M. Skogsförsöksanstaltens gallringsförsök I tallskog (Forest research institute’s thinning experiments in Scots pine forests). Meddelanden frstatens skogsförsöksanstalt Häfte, V. 29, p. 1-169, 1936. [In Swedish].) |
(8) |
Power |
|
Stoffels and van Soest (1953STOFFELS, A.; VAN SOEST, J. The main problems in sample plots. Ned Boschb Tijdschr, V. 25, p. 190-199, 1953.) |
(9) |
Wykoff |
|
Wykoff et al. (1982WYKOFF, W.R.; CROOKSTON, N.L.; STAGE, A.R. User’s guide to the stand prognosis model. USDA For. Serv. Gen. Tech. Rep. INT-133, 1982.) |
(10) |
Chapman-Richards |
|
Richards (1959RICHARDS, F.J. A flexible growth function for empirical use. Journal of Experimental Biology, V. 10, p. 290-300, 1959.) |
(11) |
Gompertz |
|
Gompertz (1825GOMPERTZ, B. On the nature of the function expressive of the law of human mortality, and on a new mode of determining the value of life contingencies. Philos. Trans. R. Soc. Lond. B Biol. Sci., V. 115, p. 513-585, 1825.), Huang et al. (1992HUANG, S.; TITUS, S.J.; WEINS D.P. Comparison of nonlinear height-diameter functions for major Alberta tree species. Can. J. For. Res. , V. 22, p. 1297-1304, 1992.) |
(12) |
Korf |
|
Lundqvist (1957LUNDQVIST, B. On the height growth in cultivated stands for pine and spruce in Northern Sweden. Medd. Frstatens skogforsk, V. 133, 1957.) |
(13) |
Logistic |
|
Pearl and Reed (1920PEARL, R.; REED, L.J. On the rate of growth of the population of the United States since 1970 and its mathematical representation. Proc. Natl. Acad. Sci. U.S.A. V. 6, p. 275-288, 1920.) |
(14) |
Prodan |
|
Strand (1959STRAND, L. The accuracy of some methods for estimating volume and increment on sample plots. Medd. Norske Skogfors. V. 15, n. 4, p. 284-392, 1959. [in Norwegian].) |
(15) |
Ratkowsky |
|
Ratkowsky (1990RATKOWSKY, D.A. Handbook of nonlinear regression. Marcel Dekker, Inc., New York. 1990.) |
(16) |
Weibull |
|
Yang et al. (1978YANG, R.C.; KOZAK, A.; SMITH, J.H.G. The potential of Weibull-type functions as a flexible growth curves. Can. J. For. Res. , V. 8, p. 424-431, 1978.) |
(17) |