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Generalised logistic curve

The generalised logistic (or Richard's) curve is a widely used and flexible function for growth modelling.

<math>Y = A + { C \over (1 + T e^{-B (x - M)}) ^ {1 / T} }</math>

where Y=weight, height, size etc; X = time.

It has five parameters:

A
the lower asymptote;
C
the upper asymptote;
M
the time of maximum growth;
B
the growth rate;
T
near which asymptote maximum growth occurs.



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