Kan. Stat. § 12-1232
The library board of a regional library shall consist of six appointed members and, in addition thereto, the official head of each participating county or township shall appoint a member of the governing body to be an ex officio member with the same powers as appointed members. Each county or township participating in a regional library shall be equally represented on the library board, but in case such uniform representation cannot be obtained because of the number of counties or townships participating, the governing body shall agree on a method of rotating representation among the participating counties or townships. The official head of each participating county or township, with the approval of the governing body thereof, shall appoint the members from such county or township.
Terms of all members of the library board of any township library previously established under the authority of K.S.A. 80-804 shall expire on the effective date of this act and successors to such members shall be appointed in the manner and for the terms prescribed in this section.
The members first appointed shall be appointed, one for a term expiring the first April 30th following date of appointment, two for terms expiring the second April 30th following date of appointment, one for a term expiring the third April 30th following date of appointment, and two for terms expiring the fourth April 30th following date of appointment. Upon the expiration of the terms of members first appointed, succeeding members shall be appointed in like manner for terms of four years. Vacancies occasioned by removal from the county or township, resignation or otherwise, shall be filled by appointment for the unexpired term. Except for the ex officio members of the board, no person holding any office in a participating county or township shall be a member of the library board while holding such office, and no person who has been appointed for two four-year terms to the library board shall be eligible for further appointment to such board.
K.S.A. 12-1232