N.Y. Pub. Auth. Law § 1299-Q
The operation, maintenance and use of passenger stations shall be public purposes of the counties of Erie and Niagara. The total cost to the authority and each of its subsidiary corporations of operation, maintenance and use of each passenger station within the district serviced by one or more railroad facilities of the authority or of such subsidiary corporation, including the buildings, appurtenances, platforms, lands and approaches incidental or adjacent thereto, shall be borne by the county within the district in which such station is located. On or before June first of each year, the authority shall determine and certify to the counties of Erie and Niagara the total cost to the authority and its subsidiary corporations, for the twelve-month period ending the preceding March thirty-first, of operation, maintenance and use of each such passenger station within each county, respectively. On or before the following September first, of each year, each such county shall pay to the authority such cost so certified to it on or before the preceding June first. If for any such twelve-month period the authority determines that the total revenues of any railroad facility will be such as not to require payment for the full amount of the costs of operation, maintenance and use of the passenger stations served by such facility, the authority in its discretion may reduce by a uniform percentage of established costs the amounts required of each county so served, provided however, that the amount required of any such county shall not be reduced for any such twelve-month period below the total cost to the authority and its subsidiary corporations so certified of maintenance and use of such passenger stations so served in such county. Each county shall have power to finance such costs to it by the issuance of budget notes pursuant to section 29.00 of the local finance law.
N.Y. Pub. Auth. Law § 1299-Q