RE: Herd dynamics or overall herd numbers?
Where I gun hunt (U.P. of MI), I could not honestly give you the ratio with any certainty, probably somewhere the 15-20:1 (does to bucks). In such an extreme, you can kill two birds, by reducing the does, the ratio comes back in order as does the healthy carrying capacity. The gun season has historically been a kill-fest, with any antlered deer being killed, thereby greatly knocking the bucks down, when 0 does are harvested because there are not tags for them. Last year was teh first year for OTC doe tags of any quantity, and they were giving them away (yes, free) by the middle of firearm season because no one would buy them. This year, there are antler regs that hopefully keep some of those 1 1/2 y.o. bucks alive.
As for carrying capacity, is there really a way to accurately tell what it is? In IL, the crops have kind of negated the carrying capacity of small woodlots, because food is not an issue, which is really what carrying capacity is about.