Historical Logarithm of Happiness: Using historical data and projections from the Population-Consumption model, the logarithm of happiness (to the base hmax = 0.82) is shown over time, that is: n, where happiness h = hmaxn.

UPDATE (4/15/2015):

Graphing the coordinates used in the final model simulation, the significance of the loghmax(h) is clear, as shown below. It is definitely a "signal" of the ecological footprint. Recall that F is the footprint per person, and Ppop is the world population.

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