N.M. Stat. § 76-21-12
Removal of members.
A. The director shall immediately declare the office of any member of the
commission vacant whenever such member has ceased to be an active producer or
handler in this state, has become a resident of another state or is not performing the
duties of his office.
B. The director may remove any member of the commission for inefficiency, neglect
of duty or misconduct in office.
C. The director shall fill vacancies by appointing a replacement to serve the
unexpired term.