Eastern and Osceola Wild Turkeys Robust populations of two wild turkey subspecies — the eastern and the Osceola — occur in this state. DYK, the only place in the world the Osceola subspecies occurs is the Florida peninsula? This fact makes the Sunshine State a popular destination each spring for wild turkey hunters. Interested in hunting wild turkeys this spring at select WMAs or national wildlife refuges? You have through Nov. 30 to apply for quota and limited entry hunt permits during phase I.