Generalised logistic curve

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A=0, C=1, M=0.5, B=1.5, T=0.5
A=0, C=1, M=0.5, B=1.5, T=0.5

The generalized logistic curve, also known as Richards' curve is a widely-used and flexible function for growth modelling.

Y = A + { C \over (1 + T e^{-B (X - M)}) ^ {1 / T} }

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.

[edit] See also

[edit] References

  • Richards, F.J. 1959 A flexible growth function for empirical use. J. Exp. Bot. 10: 290--300.
  • Pella JS and PK Tomlinson. 1969. A generalised stock-production model. Bull. IATTC 13: 421-496.

[edit] See also

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