Sterilization of dominant stallions is impractical for controlling feral horse populations. Evidence does not support the premise that reproductive units are stable, with one male and many females. Individual horses, including reproductively active females, move between bands during the breeding season. Permanent or temporary sterilization of the dominant stallion in a feral horse herd has been suggested to control horse populations. This control method would work only if bands of horses were stable, if reproductive units consisted of one male and many females, and if females did not move between bands. A study of the behavior of bands of horses from the Jicarilla herd shows that female fidelity is weak or nonexistent and that some breeding in the bands is by subdominant males. The amount of sterilization that would have to be done to control horse numbers indicates that the technique is not practical. Another reason to avoid selective sterilization of dominant males is that these animals represent the best genetic material for the population.vada Agricultural Experiment Station, R 127, 110 p.