When branded wild cattle or horses are found on any forest land, game management area, public hunting area, or natural area reserve in the State, which land is duly set apart and established as a forest reserve, game management area, public hunting area, or natural area reserve, or if the land is privately owned and surrendered as defined in § 183-15, the department, in all cases where the land is so set apart and established as a forest reserve, game management area, public hunting area, or natural area reserve, whether from privately owned lands or public lands, may remove, shoot, or destroy the cattle or horses without compensation to the owner, after thirty days’ public notice of the intended action in the county where the cattle or horses are found.