N.Y. Comp. Codes R. & Regs. tit. 1, § 40.18
In the event of a vacancy on the advisory board created by an appointee's failure to qualify for or accept membership, or which is caused by the death, resignation or disqualification of a member, the commissioner shall appoint an individual producer to serve for the duration of the unexpired term. In making such appointment, the commissioner shall maintain representation on the advisory board in accordance with that prescribed in section 40.15 of this Part.