Thursday, September 18, 2008

Jarvis's Laws of Consumption

If I may be so bold, I would like to propose three “laws of consumption” which embody my observations and modeling of how consumption, population, and life expectancy are related.

FIRST LAW: The mass of resources consumed per unit of time (“consumption”) by an isolated population is proportional to the square of the size of the population and is also proportional to the average speed that resources can be transported.

SECOND LAW: The ratio of the consumption of an isolated population over one interval to the consumption over the previous interval is proportional to the ratio of remaining resources for the two previous intervals raised to an exponent equal to twice the base of natural logarithms.

THIRD LAW: For members of an isolated population, the average life expectancy corresponding to a given per capita consumption equals the sum of the minimum life expectancy and the product of the generation interval and the (base ten) logarithm of the ratio of the per capita consumption to the minimum per capita consumption.

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