CA Pub Util Code Section 101136

The appointment to fill a vacancy shall be made within 30 days after the creation of the vacancy. In the event the vacancy is in the class of member provided for in subdivision (c) of Section 101103, and if the remaining members of the board fail to fill the vacancy within that time, then, within 30 days thereafter, the vacancy shall be filled by the majority vote of a conference committee composed of five members selected as follows: two members of the board of supervisors chosen by that board, two members of the City Council of the City of Bakersfield chosen by the city council, and one member chosen by the majority vote of the four members so selected.