Cal. EDC § 5326

If, by 5:00 p.m. on the 83rd day prior to the day fixed for the governing board member election, only one person has been nominated for any elective office to be filled at that election, or no one has been nominated for the office, or in the case of members to be elected from the district at large, the number of candidates for governing board member at large does not exceed the number of offices to be filled at that election, or in the case of members to be nominated by trustee area and elected at large, the number of candidates do not exceed the number required to be elected governing board member at large nominated by that trustee area, or in the case of members to be elected at large in accordance with Sections 5030.5 , 5030.6, and 5030.7, no more than one person has been nominated for each membership position, and a petition signed by 10 percent of the voters or 50 voters, whichever is the smaller number, in the district or trustee area, if elected by trustee area, requesting that a school district election be held for the offices has not been presented to the officer conducting the election, appointment will be made as prescribed by Section 5328.

The provisions of this section and Section 5328 shall also apply to elections for membership on a county board of education.