California Code, Public Utilities Code - PUC § 30204

Each member of the board of directors appointed by the Board of Supervisors of the County of Los Angeles, shall serve at the pleasure of the appointing body.  Each member of the board of directors appointed by the Mayor of the City of Los Angeles, subject to confirmation by the City Council of the City of Los Angeles, may be removed at any time thereafter by following the same procedure used for appointment.  If he is a member of the Board of Supervisors of the County of Los Angeles or the City Council of the City of Los Angeles and his term of office as a member of such bodies terminates, a vacancy is automatically created in his office as a member of the board of directors.  If he is not a member of such bodies his term of office shall terminate at the end of his term as director.