Chapman-Richards growth model
Computes the Chapman-Richards growth model and its inverse
y(t) = α * (1 - β * exp(-k * t)^{1/(1-m)})
chapmanRichards(t, alpha, beta, k, m) chapmanRichards.inverse(x, alpha, beta, k, m)
t |
time |
x |
size |
alpha |
upper asymptote |
beta |
growth range |
k |
growth rate |
m |
slope of growth |
D. Fekedulegn, M. Mac Siurtain, and J. Colbert, "Parameter estimation of nonlinear growth models in forestry," Silva Fennica, vol. 33, no. 4, pp. 327-336, 1999.
growth <- chapmanRichards(0:10, 10, 0.5, 0.3, 0.5) # Calculate inverse function time <- chapmanRichards.inverse(growth, 10, 0.5, 0.3, 0.5)
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