Von Bertalanffy function: Difference between revisions

Content deleted Content added

Inline

Revision as of 02:11, 28 January 2019

The von Bertalanffy curve or von Bertalanffy function, is a type of mathematical model 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]

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 a value used to calculate size when age is zero, and $L_{\infty }$ is asymptotic size.^[3]

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.
^ 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.

This mathematics-related article is a stub. You can help Wikipedia by expanding it.

[PaulyMorgan1987-1] Daniel Pauly; G. R. Morgan (1987). Length-based Methods in Fisheries Research. WorldFish. p. 299. ISBN 978-971-10-2228-0.

[Nations2005-2] 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.

[CarlsonGoldman2007-3] 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.

[1]

[2]

[3]

@@ Line 5: / Line 5: @@
 <math>L(a)= L_\infty(1-\exp(-k(a-t_0))</math>
-where <math>a</math> is age, <math>k</math> is the growth coefficient, <math>t_0</math> is a value used to calculate size when age is zero, and <math>L_\infty</math> is asymptotic size.
+where <math>a</math> is age, <math>k</math> is the growth coefficient, <math>t_0</math> is a value used to calculate size when age is zero, and <math>L_\infty</math> is asymptotic size.<ref name="CarlsonGoldman2007">{{cite book|author1=John K. Carlson|author2=Kenneth J. Goldman|title=Special Issue: Age and Growth of Chondrichthyan Fishes: New Methods, Techniques and Analysis|url=https://books.google.com/books?id=ESUyc2dMrnEC&pg=PA301|date=5 April 2007|publisher=Springer Science & Business Media|isbn=978-1-4020-5570-6}}</ref>
 ==See also==