S.D. Codified Laws § 41-15-2

For the purpose of enforcing any of the laws under this title and the rules promulgated pursuant to this title, the courts of this state, and the conservation officers of this state, have jurisdiction over the entire boundary waters of the state, to the furthermost shore line. Concurrent jurisdiction of the courts and administrative officers of the adjoining states of Minnesota, North Dakota, Montana, Wyoming, Iowa, and Nebraska over all boundary waters between such states and this state, and the whole of such boundary waters, is hereby recognized.