Population growth

Population growth - Population growth Rev. Thomas Malthus...

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Population growth Rev. Thomas Malthus (in An Essay on the Principle of Population , 1798) was the first to make clear that population growth is what he termed "multiplicative" rather than "additive" That is, whenever births exceed deaths (even slightly), population will grow exponentially (like money in a bank account earning compounding interest) This because each addition to population also reproduces, and the compounding effect on population size means that the rate of increase in population size itself increases (causing accelerating, not just constant growth) Exponential growth equation in simplest form is dN/dt = rN , which is shorthand (in differential calculus) for "Change in population size N per unit time t is a product of r (the per capita reproductive rate) and N (population size)" The simple mathematics of exponential growth tells us that, no matter how small the initial population, or how slight the excess of births over deaths, any growth rate >0 will lead to exponential increase, meaning
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Population growth - Population growth Rev. Thomas Malthus...

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