Gompertz curve
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A Gompertz curve, named after Benjamin Gompertz, is a type of mathematical model for a time series, where growth is slowest at the start and end of a time period.
where
- a is the upper asymptote
- c is the growth rate
- b, c are negative numbers
- e is the base of the natural logarithm (e = 2.71828...)
Examples of uses for Gompertz curves include:
- Mobile phone uptake, where costs were initially high (so uptake was slow), followed by a period of rapid growth, followed by a slowing of uptake as saturation was reached.
- Population in a confined space, as birth rates first increase and then slow as resource limits are reached.
