Male reindeer do indeed lose their antlers in winter. This is known as the process of "antler shedding," and it is a natural part of the reindeer's life cycle. The antlers, which are primarily composed of bone, are primarily used for defense and competition during the breeding season, but are not needed for survival during the winter months when there is little food available. The process of antler shedding typically begins in late fall, and by winter the antlers have been completely shed.