Sec. 13. With the approval of the governor and upon the terms and conditions that the department determines, the department may, after the giving of notice and the holding of a public hearing under section 16 of this chapter, enter into amendments of articles of dedication upon a finding by the commission that the amendments will not permit:
(1) an impairment;
(2) a disturbance;
(3) a use; or
(4) a development;
of the area inconsistent with the purposes of this chapter. However, if the fee simple interest in an area is not held by the state under this chapter, an amendment may not be made without the written consent of the owner of the other interests in the area.