janoschek {growthmodels}

Janoschek growth model

Description

Computes the Janoschek growth model and its inverse

y(t) = \alpha *(\alpha - \beta) \exp(-b * t^c))

Usage

janoschek(t, alpha, beta, b, c)

janoschek.inverse(x, alpha, beta, b, c)

Arguments

t

time

alpha

upper asymptote

beta

lower asymptote

b

growth parameter

c

shape parameter

x

size

Author(s)

Daniel Rodriguez

References

Michael J. Panik, "Growth Curve Modeling: Theory and Applications", John Wiley & Sons, December 2013.

Examples

growth <- janoschek(0:10, 10, 2, 0.5, 2)

# Calculate inverse function
time <- janoschek.inverse(growth, 12, 2, 0.5, 2)