gompertz: Gompertz growth model

In growthmodels: Nonlinear Growth Models

Gompertz growth model

Description

Computes the Gompertz growth model and its inverse

y(t) = \alpha exp(-\beta exp(-k^t))

Usage

gompertz(t, alpha, beta, k)

gompertz.inverse(x, alpha, beta, k)

Arguments

t	time
alpha	upper asymptote
beta	growth displacement
k	growth rate
x	size

Author(s)

Daniel Rodriguez

References

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.

Examples

growth <- gompertz(0:10, 10, 0.5, 0.3)

# Calculate inverse function
time <- gompertz.inverse(growth, 10, 0.5, 0.3)

growthmodels documentation built on May 31, 2023, 8:14 p.m.