No election shall be held to elect a member of a special district governing body, or to fill the remainder of an unexpired term which arose from a vacancy on the governing body, if no one or only one person files for the position.

If only one person files for the position, he or she shall be considered to have been elected to the position at the election that otherwise would have taken place for such position.

If no one files for the position and the upcoming election is one at which someone would have been elected to fill the expired term, the position shall be treated as vacant at the expiration of the term.

If no one files for the position and the upcoming election is one at which someone would have been elected to fill the remaining term of office, the person appointed to fill the vacancy shall be considered to have been elected to the position at the election and shall serve for the remainder of the unexpired term.