The BLM currently authorizes 4,114 AUMs per year on 440,982 public acres, according to the Allotment Master Report at RAS.
The Buffalo Hills HMA coincides roughly with the Buffalo Hills pasture, as noted in Table 5 of the Final EA for resource enforcement actions in the Smoke Creek Complex.
The Western Watersheds map shows the arrangement. The EA was posted with other project documents in ePlanning.

The allotment is in the Improve category and the active AUMs have declined slightly from the amount authorized when the EA was published. Refer to Table 6.
Forage availability works out to a paltry 9.3 AUMs per year per thousand acres, enough to support 0.8 wild horses per thousand acres.
The HMA intersects 27.6% of the allotment according to Table 5, so the forage assigned to livestock inside the HMA should be around 1,135 AUMs per year, assuming the resource is evenly distributed across the parcel.
If it was shifted back to the horses, the AML could be increased by 94, for a total of 408.
Unfortunately, the current population exceeds that value.
RELATED: BLM to Thin Buffalo Hills Herd Starting This Week.
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