mmf {growthmodels}

Morgan-Mercer-Flodin growth model

Description

Computes the Morgan-Mercer-Flodin growth model

y(t) = \frac{(w_0 \gamma + \alpha t^m)}{\gamma} +t^m

Usage

mmf(t, alpha, w0, gamma, m)

mmf.inverse(x, alpha, w0, gamma, m)

Arguments

t

time

alpha

upper asymptote

w0

the value at t = 0

gamma

parameter that controls the point of inflection

m

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 <- mmf(0:10, 10, 0.5, 4, 1)

# Calculate inverse function
time <- mmf.inverse(growth, 10, 0.5, 4, 1)