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The Weibull growth model is described by the equation:



where l = length, (or weight, height, size) and t = time.


The four parameters are:


β, is the lower asymptote;
L, is the upper asymptote;
k, is the growth rate and

δ, is a parameter that controls the x-ordinate for the point of inflection.


The point of inflection on the x axis lies at:




If δ = 1 the Weibull is a simple exponential growth curve.



The following graphs show example plots of the Weibull growth curve for different values of δ (delta).