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Graph showing one billion divided by estimated human population of the World, from year 501 BC to 2050 AD.

Shows development in available land area, or in any other constant resource, per capita. (The actually arable land area has not been a constant resource in that period.)

Note the almost linear decrease AD 1400 to 2000, pointing towards zero around AD 2030. As this would correspond to an infinite population, it cannot really happen.

This linear decrease corresponds to a growth form where the doubling time required for each doubling of the population is half of that for the previous doubling.

A mathematical model leading to this form of growth is one in which the relative growth is proportional to the population. This can be contrasted with exponential growth, where the absolute growth is proportional to population, i.e., where the relative growth is constant.

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