This and related pages describe and discuss Version 4 of the Population-consumption model. Version 4 introduces a new definition of "happiness," which ties population growth to consumption of ecological resources.
The model is an empirically-derived theoretical construct that simplistically represents the dynamics involved in the most essential aspects of humanity's future: those affecting our survival. Like any hypothesis, it is subject to test.
H = MIN(P, E) / MAX(P, E)
Fe = Ppop * F
Emax = Eo * (1 - aE* Fe )
Epop = ap * Ppop2 + bp * Ppop + cp for Epop < Emax
h = Ppop / Epop = F / (ah * F + bh), Epop >= Emax
Eh = h * Ppop
L = F / (aL * F + bL )
G = Eh2
W = Eh3
E is the environments inhabited by part of a population