Business and Professions Code section 6302

Appointments of trustees which are to be made by the board of supervisors of the county shall be made at the first meeting of the board of supervisors after the establishment of a law library in the county, the appointees to serve until the first meeting of the board of supervisors in the succeeding January. The board shall, at any such meeting in each succeeding January, appoint such trustees to serve for the term of one year.