There shall be a closed season on the catching of striped bass in the waters of Lake Greenwood and Boyd’s Mill, and it shall be unlawful for any person to have in possession on or immediately adjacent to the waters of the lake and Boyd’s Mill any striped bass. The possession by any person of striped bass on or within one-half mile of the waters of the lake and in its tributaries shall be deemed prima facie a violation of the provisions hereof. However, the season for catching striped bass may be opened at such time as investigation reveals the desirability of opening such season, and such opening may be done by the department with the approval of a majority of the members of the House of Representatives and a majority of the Senators from the counties adjoining the lake.