No, because you know that would result in a figure that is too high now. So lets just assume it for a while, say 28 generations of doubling until n goes from 3 to about 800 million. After that, a slow growth.<quoted text>
Have I contended that population doubling has been continuous for 4500 years?
28 * 25 = 700 years.
As you have seen, at 800 million the earliest versions are still dominant after nothing but doubling. So in 3800 years of the following slower growth, they all have to disappear against the odds. And so does the next level and the next and the next etc so that by today, amazingly, all the dominant ones are gone and replaced by the ones that were in tiny minorities or did not even exist 3800 years ago.
Give it a try, it wont work. It just takes too long.