Nigel Lester, Brian Shuter, and Peter Abrams showed how the mechanisms of the Roff model can lead to the von Bertalanffy growth equation by making a few specific assumptions. Based on empirical evidence from fish, Lester et al. assume that the scaling exponents for anabo-lism and catabolism are the same, that is, m1 = m2 = 2/3. This leads to linear length growth prior to maturation. As mature fish grows, however, surplus energy, which is proportional to W2/3, will increase, but not as much as the gonads, which are proportional to W . The model therefore predicts asymptotic growth after maturation because the proportion of available resources devoted to gonads and reproduction increases. The resultant postmaturation asymptotic growth curve now becomes
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