La. Stat. tit. 38 § 2108
In the ordinance creating an irrigation district under this Part, the police jury creating the district shall appoint the five commissioners who shall constitute the governing authority of the district, and who shall possess the qualifications, as provided in R.S. 38:2107, and who are named in the petition for the creation of the district.
Upon the expiration of the four year term of the commissioners, and every four years thereafter, the police jury creating the irrigation district shall appoint five commissioners who are recommended by landowners within the irrigation district, and where there is more than one person recommended for the same office, the police jury shall appoint the person otherwise qualified who is recommended by landowners owning the largest number of acres of lands in the district, outside of the corporate limits of incorporated towns and cities.
La. R.S. § 38:2108