Mich. Comp. Laws § 600.8163

Sec. 8163. (1) Until the date determined under subsection (2), the ninety-eighth district consists of the counties of Ontonagon and Gogebic, is a district of the first class, and has 1 judge. (2) Beginning on the date on which a vacancy occurs in the office of district judge in the ninety-eighth district or the beginning date of the term for which the incumbent district judge in the ninety-eighth district no longer seeks election or reelection to that office, whichever is earlier, the ninety-eighth district consists of the counties of Gogebic and Ontonagon and is a district of the first class. Under section 810a, the probate judge for the county of Gogebic shall serve as judge of the ninety-eighth district within the county of Gogebic and the probate judge for the county of Ontonagon shall serve as judge of the ninety-eighth district within the county of Ontonagon.