La. Stat. tit. 13 § 2609
Effective January 1, 1997, the territorial limits of the justice of the peace courts in Concordia Parish shall be the same as the parish police jury districts within the parish and the persons elected to the offices of justice of the peace and constable for those courts at the 1996 congressional election shall be elected from those districts. If the police jury district lines are changed thereafter, the territorial jurisdiction of the justice of the peace courts shall also be changed to coincide with the new police jury district lines effective at the beginning of the next regular term of office for justices of the peace and constables. However, in the event that the change in police jury district lines increases or reduces the number of police jury districts, the territorial jurisdiction of the justice of the peace courts shall not be changed but shall remain the same.
La. R.S. § 13:2609