It really is this simple.
Within what population? A million individuals? Conferring what advantage? I don't care about the neutral or even the deadly mutations. How many beneficial mutations per thousand individuals per generation? How many individual mutations to reach greater muscle strength or better night vision or superior intellect? (If that confers any advantage- sarcasm). Do they need to be reinforced by reproduction with a suitable mate?
How many generations until they spread sufficiently within a population? What if the ideal mutation occurs during a season of low competition? What if the population of the mutated is not isolated before the end of hard times and the "greater strength" returns to its earlier distribution in the population?
How many generations before a neutral mutation (preserved in a population by random chance) is reinforced by a second randomly produced mutation and confers some fractional advantage to an individual? And then again how many generations before this new population is immune to the sort of breeding out that occurs if the given species preserves too many unmutated (but still reproduction capable) individuals? Are all positive (darwinian) mutations dominant or are an equal number recessive?
I appreciate greatly your patient replies to my questions. I fear I have not been clear enough. The problem is not with the mutations that you see. Nor is it with the knife of natural selection. It is the fact that the math doesn't work out. As far as I can tell mutation is too random, selection is too slow and there isn't enough time in the universe for the speciation we see to be produced.
Your theory approaches (or perhaps surpasses) the point where in order to return the desired result all the constraints must operate near optimal conditions. The real world pressure on these constraints however, tends to push them further away from the ideal. The situation of the opposing constraints (micro scale mutation versus macro scale selection, small population versus large population, the age of the universe versus the speed of mutational propagation)also drives the available solutions away from one another in solution space.
This significantly (maybe even completely) diminishes the available window (intersection of the various sets) capable of producing the desired result (establishing evolution as the mechanism of speciation.)
If ,indeed,this evolution has occurred the narowness of the solution set speaks more to the fine tuning of the universe and less to the completely natural event driven, completely creator-less origin of the species.