Kan. Stat. § 19-4305
The first members of said civil service board shall be appointed by the board of county commissioners of such county for terms as follows: One (1) member until the third Monday in January of the first year following his appointment; two (2) members until the third Monday in January of the second year following their appointment; and two (2) members until the third Monday in January of the third year following their appointment. Upon the expiration of the term of office of any member of said board, the said board of county commissioners shall fill the vacancy by appointment until the third Monday in January of the third year following the appointment. Said board of county commissioners shall fill any other vacancy on the civil service board, occurring for any reason, by appointment for the unexpired term of office.
K.S.A. 19-4305