La. Stat. tit. 33 § 122
A parish development board shall consist of not less than five nor more than thirteen members, exclusive of ex-officio members, of which one member shall be chairman. The police jury may create a parish development board by ordinance and appoint the members thereof. The police jury shall designate one of the appointed members to be the chairman of the board. The terms of office of the chairman and the members of the board shall coincide with the terms of office of the members of the police jury appointing them. The police jury may fill the vacancies which occur by the expiration of the terms of office. Vacancies in the membership of the board which occur for any other cause shall be filled by the chairman of the board. No member appointed by the chairman shall hold his office under that appointment beyond the expiration of the terms of office of the members of the police jury. All vacancies in the office of chairman shall be filled by the police jury.
La. R.S. § 33:122