Farming the white-tailed deer native to the Americas has become somewhat common in the old world and reindeer have also been domesticated as beasts of burden across northern Eurasia. AAIU, the body structure of white-tailed deer isn't very suitable for labor, they can jump very high, and are not particularly gregarious or easy to keep in herds. The North American caribou (reindeer) population only inhabits the far north and is seasonally nomadic, migrating over very long distances. Other, larger, native species like moose are usually considered too big and too aggressive to tame.