von Bertalanffy growth curve

a model of individual fish growth as a function of time. Named after its proponent, Ludwig von Bertalanffy, this growth curve is an entry point to more complex models of the dynamics of fish populations. The growth equation is L_{t} = L_{∞}1e^{K(tt}_{o}^{)}, where t = age, L_{∞} = asymptotic length (mean length of a very old fish), and K = the curvature parameter showing how fast a fish approaches its maximum value. A shortlived species will have a high value of K and approach L_{∞} rapidly while other species have a low K and take a long time to reach L_{∞}. These parameters can be estimated from the FordWalford method where length at a given age is plotted against length one year earlier. The intercept on the 45 degree line is L and the slope is e^{K}
Dictionary of ichthyology. 2009.
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