growthmodels (version 1.3.1)

negativeExponential: Negative exponential growth model

Description

Computes the negative exponential growth model $$ y(t) = \alpha ( 1 - exp(-k t))$$

Usage

negativeExponential(t, alpha, k)
negativeExponential.inverse(x, alpha, k)

Arguments

t

time

alpha

upper asymptote

k

growth rate

x

size

Author

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 <- negativeExponential(0:10, 1, 0.3)

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