The rest is a stream of words.
As such it is a work of social science. It might even have been respectable in social science journal. Economists input a lot of assumptions into calculus 101 level equations and call that a "mathematical proof" of an economic theory.
If the author wanted this to be a interdisciplinary discussion, why drag it into a mathematical journal where actual mathematical truths are published?
Author says himself he was unable to formulate actual mathematical idea and recruited help. Why ask Tabachnikov, who is a geometer specializing in classical mechanics, instead of someone with like a clue about statistical modeling? He then compares his experience to one he had fighting in Vietnam... which only makes me wonder if that wasn't the point: to either succeed with a flag-planting diversion or be able to make that comparison and hero of himself anyways.
I am just saying that (1) this paper does not belong into a mathematical journal, and (2) the point looks almost too trivial to state.
I am a mathematician; I cannot say whether the paper belongs into a bio journal and whether its points are common knowledge in the bio community. I can only say that, had the arxiv-paper landed on my desk for peer review, I'd have recommended to reject it.
[1] By the conservation law that each offspring has one male and one female parent, differing "effective selectivity" and differing variability of reproductive success are kinda equivalent in the model; casting it in terms of "desirability" looks like a weird choice to me.