Mich. Comp. Laws § 780.51

Sec. 1. A city or incorporated village, having a boundary running to the shoreline of any of the Great Lakes or connecting waters, through its peace officers, with or without a pertinent ordinance, may exercise concurrent jurisdiction as to such waters to enforce any criminal law of this state applicable to the conduct of persons in, on or over such waters which extend 1/2 mile lakeward from such boundary, but not beyond any interstate or international boundary.