four shall serve for terms of one year each, two of whom shall have been designated by the borough improvement boards;
three shall serve for terms of two years each, two of whom shall have been designated by the borough improvements boards;
three shall serve for terms of three years each, one of whom shall have been designated by the borough improvement boards; thereafter the successors of all ten such directors shall serve for terms of three years each. The Mayor shall fill any vacancy which may occur by reason of death, resignation, or otherwise in a manner consistent with the original appointment. Members may be removed by the Mayor for cause after a hearing upon ten days' written notice. Such members shall receive no compensation for their services but shall be entitled to the necessary expenses, including traveling expenses, incurred in the discharge of their duties.
N.Y. Gen. Mun. Law § 917