Ohio Rev. Code Ann. § 5505.042

Except as provided in section 5505.043 of the Revised Code, any vacancy occurring in the term of a retirant member of the state highway patrol retirement board or an employee member of the board shall be filled by an election conducted in the same manner as other retirant member and employee member elections under section 5505.041 of the Revised Code. On certification of the election results in accordance with rules adopted under section 5505.047 of the Revised Code, the retirant member or employee member elected shall hold office until the first day of the new term that follows the next board election that occurs not less than ninety days after the member's election.