There are too few wolves, mountain lions, bobcats, coyotes, and bears to keep the population in check, so we do it.
>so the argument boils down to kill them because they're going to die anyway.
There's more to it than that. Overpopulation will cause damage to more than just deer. One of the biggest is the increase in the deer tick population and the subsequent increase in Lyme disease.
Instead of killing them ourselves, we could try to reintroduce predators, but why would a deer prefer being killed by a mountain lion to being killed by a human?
I'm ok with that but I think you'd find that an untenable policy for most Americans.
We have reintroduced wolves to national parks like Yellowstone, evidently with great success. I hope we do the same in other national parks if/where needed. Wolves do not prey on humans, contrary to popular belief, and generally keep a lot of distance from wandering hikers or campers.
Nature may not be "fair," but all things considered, I'd rather we let the wolves do the job of deer population control than humans. We are not as good at it, and we also pump the ecosystem full of heavy metals while we're shooting at the critters.
Wherever you see a forest where there is a deer problem, the trees you see today will not be replaced when they die.
Deer eat all the undergrowth and new saplings.
> I now suspect that just as a deer herd lives in mortal fear of its wolves, so does a mountain live in mortal fear of its deer
Source: Thinking Like a Mountain by Aldo Leopold http://www.eco-action.org/dt/thinking.html
Another example is Deer. I live in New Jersey and we have an overpopulation of Deer, to which the most common response is that we should cull them so they don't become dangerous to roads. The moral stance would be to design our transportation in a way that doesn't frequently kill other species. Another common response is that the overpopulation will lead to them dying anyway as their isn't enough food to sustain them, so the argument boils down to kill them because they're going to die anyway.
The Ainu people believe that their treatment of bears is just. I'm just pointing out that I'd rather see all of these animals free from human emotional projection.