An example of how it wouldn't help the deer population on the island is this: The rapid community growth of the deer would propose more food is required. However, an island would only have so much green, so they would eventually die out. Any population of wild herd animals is declining to be sufficiently off with a top line predator. There are a few examples I can point out. The natural balance is important. Predators like wolves can have a far-reaching influence behind disease and population control which are very important. I would say yes because they would possess fewer predators and a protected area to live.