Mich. Comp. Laws § 168.206
The office of county clerk, county treasurer, register of deeds, prosecuting attorney, sheriff, drain commissioner, surveyor or coroner in any county in this state shall become vacant upon the happening of any of the following events: Death of the incumbent; his resignation; his removal from office for cause; his ceasing to be a resident of the county in which his office is located; his conviction of an infamous crime or an offense involving the violation of his oath of office; the decision of a competent tribunal declaring his election or appointment void; his refusal or neglect to take and subscribe to the constitutional oath of office and deposit the same in the manner and within the time prescribed by law; or his refusal or neglect to give bond in the amount and manner and within the time prescribed by law.
MCL 168.206