Louisiana constitution
Article 8
Section 8

(D) Congressional District Members. In order to implement the provisions of Subparagraphs 5(B)(1), 6(B)(1), 7(B)(1), and 7.1(B)(1) of this Article, beginning on January 3, 2013, and beginning every ten years thereafter on the day the members of congress from newly reapportioned congressional districts take office, any vacancy that occurs on the respective board from a congressional district from which there are two or more board members shall be filled by appointment of an individual from a congressional district from which there are less than two members. After the membership includes two members from each congressional district, the next vacancy shall be filled by an appointment from the state at large.