Ys. Xiao, Use of the original von Bertalanffy growth model to describe the growth ofbarramundi, Lates calcarifer (Bloch), FISH B, 98(4), 2000, pp. 835-841
In the original von Bertalanffy growth equation, the rate of change in body
mass of an individual is assumed to result from two opposing biological pr
ocesses: anabolism and catabolism. Because this differential equation canno
t be solved analytically, some of its analytically solvable special cases a
re commonly used, despite their restrictive assumptions. In this study, I u
sed a generalization of the original von Bertalanffy growth equation and so
me of its commonly used special cases to estimate parameters from a set of
tagging data on times at liberty, lengths at release, and lengths at recapt
ure of a centropomid perch (Lates calcarifer) and provide a method for dete
rmining the anabolic and catabolic rates of animals in their natural enviro
nment. Fitting the original von Bertalanffy growth equation to the tagging
data suggests that a 1% increase in body mass of the fish corresponds to a
0.8721% increase in anabolic rate and a 1.0357% increase in catabolic rate.
Alternatively, L. calcarifer may be interpreted as exhibiting a strong sea
sonality in growth: it grows fastest in length at the start of autumn, grow
s less until a full stop in the middle of winter, shrinks until the middle
of spring, and then resumes a positive growth for another cycle. Consequent
ly, it is unnecessary to use the analytically solvable special cases of the
original von Bertalanffy growth equation in data analysis, unless their as
sumptions are validated. I also explain why Pauly's index of growth perform
ance is adequate and propose an index of catabolic performance.