Deer

I'm curious as to what Peter Singer would think about the act of thinning out the deer population for the benefit of the deer population as a whole (utilitarian?). The over population of deer is not only a problem for humans, but for deer themselves. Their food has become scarce (partially due to humans from urban sprawl and continuous development), and the competition for it has increased. This has made the average deer weaker than normal, and more susceptible to disease and sickness and a longer, more painful death. Are we obligated, having the awareness of this situation, to help out the deer population as a whole and allow responsible deer hunters, whom will use the deer to feed their families in an economic crisis where people need to choose between feeding their family and heating their house, to thin out the deer population, in which deer would experience a quick death, when many are dying slowly from hunger and sickness? Humans are partially responsible for this problem within the deer species, and we can help solve the problem by killing a few.