N.M. Stat. § 73-20-37
District supervisors; election and appointment; new
districts.
A. The governing body of a district shall be composed of five supervisors who shall
be residents of the district and shall be elected pursuant to the provisions of the Local
Election Act [Chapter 1, Article 22 NMSA 1978]; provided, however, that two additional
supervisors may be appointed to the governing body of each district by the commission
in accordance with the provisions of the Soil and Water Conservation District Act. Four
elected supervisor positions of each district shall be filled by landowners within the
defined geographical area of their district. One elected supervisor position shall be
designated supervisor-at-large, and the supervisor filling that position may serve the
district without landowner qualification.
B. In the first election of supervisors to serve a newly organized district, two
supervisors shall be elected for terms of four years and three supervisors shall be
elected for terms of two years. Thereafter, each elected supervisor shall serve a term of
four years and shall continue in office until a successor has been elected or appointed
and has completed an oath of office. A vacant unexpired term of the office of an elected
supervisor shall be filled by appointment by the remaining supervisors of the district.
Two or more vacant unexpired terms occurring simultaneously in the same district shall
be filled by appointment by the commission.
C. Appointed interim supervisors may continue to serve as appointed supervisors
until their successors are elected at the next local election pursuant to the Local
Election Act.