loglogistic: Log-logistic growth model

In growthmodels: Nonlinear Growth Models

Log-logistic growth model

Description

Computes the Log-logistic growth model

y(t) = \frac{\alpha}{1 + \beta exp(-k log(t)}

Usage

loglogistic(t, alpha, beta, k)

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

Arguments

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

Author(s)

Daniel Rodriguez

References

A. Khamiz, Z. Ismail, and A. T. Muhammad, "Nonlinear growth models for modeling oil palm yield growth," Journal of Mathematics and Statistics, vol. 1, no. 3, p. 225, 2005.

Examples

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

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

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