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Couttsian Growth Model
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==The Scales of e== Taken together, as demonstrated by my [http://members.optusnet.com.au/exponentialist/The_Scales_Of_e.htm Scales of e], these statements indicate that variable positive rates of population growth result in variable '''population doubling''' periods. Conversely, it has been shown that variable negative rates of population growth result in variable '''population halving''' periods. Yet, such growth is more akin to Malthus' geometric (or exponential, constant rate) model of population growth rather than any arithmetic (or linear) model. The '''Scales of e''' takes the concept of [http://en.wikipedia.org/wiki/Rule_of_70 the '''Rule of 70''', (or the '''Rule of 72''')], and expands it to cater for any mixture of positive and negative rates of variable [http://en.wikipedia.org/wiki/Compound_interest compound interest]. Variable rates of compound interest result in variable population doubling and population halving periods. The timeframes involved are entirely comparable to those for fixed rate compound interest. This explains the demographic history of Egypt, and does so ''simply''. To avoid confusion with the existing [http://en.wikipedia.org/wiki/Malthusian_growth_model Malthusian growth model], I call this revised Malthusian model the '''Couttsian Growth Model'''. Linguistically, all it takes is one word to change fixed rate compound interest (Malthusian Growth Model) to variable rate compound interest (Couttsian Growth Model).
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