exponential law

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Thomas Robert Malthus (1766—1834) political economist


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A model of the growth rate of a population based on a constant rate of compound interest, in which the increment in each period is added to the original value and the total used to calculate the next increment. The model was first proposed by Thomas Malthus. It can be expressed mathematically as P(t) = P0ert, where P0 is the initial population size, r is the growth rate, and t is time. The approximate time needed to increase the size of the population by a particular amount i is given by 100ei/r (e is the natural logarithm).

Subjects: Ecology and Conservation.

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