If a vacancy exists on a municipal governing body, the remaining members shall appoint a replacement to serve until the next annual municipal election, or the vacancy may be filled by special election for the remainder of the unexpired term as provided in § 9-13-14.2. In the aldermanic form of municipal government, the appointment shall be a person from the same ward of the municipality. If electing a person to fill the remainder of the unexpired term at an annual municipal election, the vacancy shall have occurred prior to the publication required by § 9-13-6.
SDCL 9-13-14.1