I realise a lot of people have no idea what I'm talking about so for the sake of posterity (pun intended) and not sounding like a mentally ill day tripper I thought I better explain what I was dribbling about.
I was mucking around with number sequences and decided to model an expanding and declining population so I could get a better look at how everything worked. No reason in particular, just a curiosity I felt compelled to explore.
This image explains the maths involved, the amount of information you can extract is mind-blowing but I'll stick with the basics. What the image shows is that populations increase and decrease from top to bottom using the numbers 1,1,2,3 (Fibonacci sequence) repeatedly across three generations with each branch containing the total number (5,8,13). From left to right the population expands using the geometrical sequence 1,2,4,8,16 repeatedly across the same three generations. It doesn't matter how many offspring each individual has, these numbers never change.
The image shows the crossover (intermediate) species as the original source. Populations move away from the original source very fast as shown by the distance in the curve. The centre line is a stable population of one offspring for every mature individual (resources ÷ 2). According to this image the population will stabilise then become extinct. Evolution will return to scatterd pockets of primate species until they become extinct and the cycle will be complete.
As the stable population exists on resources, those resources will become depleted making it impossible for any other species that exists on similar resources to expand in great numbers. Homo sapiens is the pinnacle of the primate order but we are yet to reach a stable population.