The von Bertalanffy model for incremental data
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von Bertalanffy derived this equation in 1938 from simple physiological arguments. It is the most widely used growth curve and is especially important in fisheries studies. There are a number of different ways that this equation can be written (see von Bertalanffy growth equation). When using incremental data the version used is
where t is time,
l is length (or some other measure of size),
K is the growth rate
b a parameter determining the rate of growth at t = 0 and
L∞, termed 'L infinity' in fisheries science, is the asymptotic length at which growth is zero.
In this version of the equation the parameter t0 is not included. However b = exp(kt0) so t0 can be easily calculated.