Von Bertalanffy function

The von Bertalanffy growth function (VBGF), or von Bertalanffy curve, is a type of growth curve for a time series and is named after Ludwig von Bertalanffy. It is a special case of the generalised logistic function. The growth curve is used to model mean length from age in animals.^[1] The function is commonly applied in ecology to model fish growth^[2] and in paleontology to model sclerochronological parameters of shell growth.^[3]

The model can be written as the following:

L(a)=L_{\infty }(1-\exp(-k(a-t_{0})))

where $a$ is age, $k$ is the growth coefficient, $t_{0}$ is the theoretical age when size is zero, and $L_{\infty }$ is asymptotic size.^[4] It is the solution of the following linear differential equation:

{\frac {dL}{da}}=k(L_{\infty }-L)

Seasonally-adjusted von Bertalanffy

The seasonally-adjusted von Bertalanffy is an extension of this function that accounts for organism growth that occurs seasonally. It was created by I. F. Somers in 1988.^[5]

References

^ Daniel Pauly; G. R. Morgan (1987). Length-based Methods in Fisheries Research. WorldFish. p. 299. ISBN 978-971-10-2228-0.
^ Food and Agriculture Organization of the United Nations (2005). Management Techniques for Elasmobranch Fisheries. Food & Agriculture Org. p. 93. ISBN 978-92-5-105403-1.
^ Moss, D.K.; Ivany, L.C.; Jones, D.S. (2021). "Fossil bivalves and the sclerochronological reawakening". Paleobiology. 47 (4): 551–573. doi:10.1017/pab.2021.16. S2CID 234844791.
^ John K. Carlson; Kenneth J. Goldman (5 April 2007). Special Issue: Age and Growth of Chondrichthyan Fishes: New Methods, Techniques and Analysis. Springer Science & Business Media. ISBN 978-1-4020-5570-6.
^ Somers, I.F. (1988). "On a seasonally oscillating growth function". Fishbyte. 6 (1): 8–11.

This page was last edited on 1 September 2023, at 00:49

From Wikipedia, the free encyclopedia

Seasonally-adjusted von Bertalanffy

See also

References