Appraisals of the land and timber thereon shall be made, in the manner prescribed in section 1181f–1 of this title, not less frequently than once in each ten-year period, and the amounts due hereunder in any year shall be computed as specified in section 1181f–1 of this title upon the basis of the last appraisement. The expenses of making the appraisements provided for in sections 1181f–1 to 1181f–4 of this title shall be paid by the Secretary of the Treasury upon certification by the Secretary of the Interior, from that portion of the receipts derived from such lands and timber payable to the counties and shall be deducted from any amount due said counties.