With his 50% / 50% scenario and selection pressure over time, the outcome of that scenario is not that complicated.
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True, not complicated, but more than likely wrong.
Without knowing if it a dominant or recessive trait, is the buck a carrier, but not expressing the gene and just hooked up with the right doe, do you kill every buck carrying, if not expressing, the gene for that trait every year, every doe, do bad or good bucks move in to take the place of those killed, same for does, ...
If one argues that is purely genetic, than without fully mapping the whitetail genome, and then knowing the DNA-makeup of every deer on your land, than it is probably an excercise in futility to think you can cull the trait out of "your" deer. If it is not purely genetic, but rather influenced by other factors, age, habitat, stress, injury, then one will probably not be able to shoot his way out of the trait either.