generalisedRichard {growthmodels}

Generalised Richard growth model

Description

Computes the Generalised Richard growth model and its inverse

y(t) = A + \frac{U - A}{(1 + \beta exp(-k (t - t_0)))^{(1/m)} }

Usage

generalisedRichard(t, A, U, k, m, beta, t0)

generalisedRichard.inverse(x, A, U, k, m, beta, t0 = 0)

Arguments

t

time

A

the lower asymptote

U

the upper asymptote

k

growth range

m

slope of growth

beta

growth range

t0

time shift (default 0)

x

size

Author(s)

Daniel Rodriguez

References

http://en.wikipedia.org/wiki/Generalised_logistic_function

Examples

growth <- generalisedRichard(0:10, 5, 10, 0.3, 0.5, 1, 3)

time <- generalisedRichard.inverse(growth, 5, 10, 0.3, 0.5, 1, 3)