S.D. Codified Laws § 41-6-30
Except as provided in this section, it is a Class 2 misdemeanor for a nonresident to hunt, take, or kill species defined as a predator/varmint in § 41-1-1 without a nonresident predator/varmint license or in violation of the conditions of the license or the rules of the Game, Fish and Parks Commission.
A nonresident predator/varmint license allows a nonresident to take or kill species defined as a predator/varmint in § 41-1-1, except by means of aerial hunting or as prohibited by statute or rule.
However, if a nonresident possesses a nonresident small game license, a nonresident waterfowl license, a nonresident big game license, a nonresident shooting preserve license while on a licensed shooting preserve, or a nonresident turkey license as provided in § 41-6-17, 41-6-18.1, 41-6-20, or 41-6-28, the nonresident need not acquire the nonresident predator/varmint license as provided in this section to hunt the species enumerated by this section in the manner and places permitted. A nonresident small game license, a nonresident waterfowl license, a nonresident big game license, or a nonresident turkey license is valid for hunting those animals permitted by the nonresident predator/varmint license from date of purchase until the end of the license year as provided by rules promulgated by the Game, Fish and Parks Commission pursuant to chapter 1-26. However, a nonresident shooting preserve license is valid for hunting species defined as a predator/varmint in § 41-1-1 on a licensed shooting preserve during the shooting preserve season.
SDCL 41-6-30