N.M. Stat. § 73-9-9
Irrigation districts; transitional features for present boards.
Immediately following the next election following the effective date of this section,
each board of directors shall determine by lot from its membership one member to
serve for a term expiring on the first Tuesday after the first Monday in December of the
following year, and one member whose term expires on the same day for each of the
succeeding two years, so that the term of one director will expire each year.