In any proceeding under Article 9 [ 30-9-1 to 30-9-9 NMSA 1978] or action to abate a public nuisance under Article 8 [ 30-8-1 to 30-8-4, 30-8-8 to 30-8-13 NMSA 1978], testimony about the following circumstances is admissible in evidence:
A. the general reputation of the place;
B. the reputation of the persons who reside in or frequent the place;
C. the frequency, timing and length of visits by nonresidents; and
D. prior convictions of the defendant or persons who reside in or frequent the place under Sections 9-11, 9-12 and 9-13 [ 30-9-2, 30-9-3 and 30-9-4 NMSA 1978] of this article or Sections 40-34-1 through 40-34-5 New Mexico Statutes Annotated, 1953 Compilation, or of any other offense of like nature wherever committed.