New Mexico Statutes Chapter 34. Court Structure and Administration § 34-10-2. Judicial standards commission;  vacancies

Whenever any member of the judicial standards commission dies, resigns or no longer has the qualifications required for his original selection, his position on the commission becomes vacant.  The remaining members of the commission shall certify the existence of the vacancy to the original appointing authority for the vacant position, which authority shall select a successor in the same manner as the original selection was made.