Generalised logistic curve
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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., and X = time.
It has five parameters:
- A
- the lower asymptote;
- C
- the upper asymptote minus A;
- M
- the time of maximum growth;
- B
- the growth rate;
- T
- affects near which asymptote maximum growth occurs.