Mich. Comp. Laws § 168.368

Sec. 368. The township offices 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 township where his office is located; his conviction of an infamous crime, or of an offense involving the violation of his oath of office; the decision of a competent tribunal declaring his election or appointment void, habitual drunkenness; his refusal or neglect to take and subscribe to the oath as provided in section 2 of article 16 of the state constitution and deposit the same in the manner and within the time prescribed by law; his refusal or neglect to give bond in the amount and manner and within the time prescribed by law; or the failure of the office to be filled at an election which is scheduled for the purpose of filling the office.