1. The board of county commissioners of any county in which a rodent control district has been created shall appoint a board of directors of the district composed of three persons who:
(a) Are landowners in the district, whether or not they signed the petition for its creation. For the purpose of this paragraph, if any corporation or partnership owns land in the district, a partner or a director, officer or beneficial owner of 10 percent or more of the stock of the corporation shall be deemed a landowner.
(b) Fairly represent the agricultural economy of the district.
2. The initial appointments to the board of directors shall be for terms of 1, 2 and 3 years respectively. Each subsequent appointment shall be for a term of 3 years. Any vacancy shall be filled by appointment for the unexpired term.