I am validating your assertion.......but also point out
the mathematical certainty.......unless you want annual
culling of billions aka Logans Run.
But wait,the model may be wrong because if i assume
2 people populated the Earth 6000 years ago & i assume
the 0,012 growth rate that has served the past 200 years
i get...........
2,392,899,758,362,400,000,000,000,000,000 people who
should be on the earth today......as opposed to 7,000,000,000!