If any person shall determine not to improve any part of his land adjoining any partition fence that may have been divided according to the provisions of this act, and shall give six months’ notice, in writing (provided such notice be served between the first day of July and the first of October), of such determination to all the adjoining owners or occupants of lands, he shall not be required to keep up or maintain any part of such fence during the time his lands shall lie open and unimproved; and he may thereafter remove his portion thereof, if the owner or occupant of the adjoining land will not pay therefor as provided in the preceding section.