This case is before us on remand from the United States Supreme Court. South Dakota v. Bourland, — U.S. -, 113 S.Ct. 2309, 124 L.Ed.2d 606 (1993), reversing 949 F.2d 984 (8th Cir.1991), opinion vacated and mandate recalled, 997 F.2d 512 (8th Cir.1993).1 In November 1993, after remand from the Supreme Court, we issued an unpublished per curiam opinion summarily affirming the District Court, but we then granted Bourland and Rousseau’s petition for rehearing by the panel. South Dakota v. Bourland, 13 F.3d 264 (1993). We requested supplemental briefs2 on the only issue remaining on remand and scheduled oral argument.
In Bourland, the Supreme Court considered whether the Cheyenne River Sioux Tribe had authority to regulate non-Indian3 hunting and fishing on lands located in South Dakota along and beneath the waters of the Missouri River, and within the boundaries of the Cheyenne River Reservation, which land had been taken by the United States for the construction and operation of the Oahe Dam and Reservoir, a flood control project of the United States Army Corps of Engineers. The Court concluded that Congress had abrogated any express regulatory authority the Tribe previously may have had over hunting and fishing by non-Indians in the taken area, and that the Tribe retained no authority pursuant to its inherent sovereignty. Id. at - — , 113 S.Ct. at 2319-20.
The Bourland decision acknowledged, however, that there was another possible source of tribal jurisdiction over non-Indians in the taken lands. Id. at-, 113 S.Ct. at 2320. As set forth in Montana v. United States, 450 U.S. 544, 101 S.Ct. 1245, 67 L.Ed.2d 493 (1981), there are “two exceptions to ‘the general proposition that the inherent sovereign powers of an Indian tribe do not extend to the activities of nonmembers of the tribe.’” Bourland, — U.S. at -, 113 S.Ct. at 2320 (quoting Montana, 450 U.S. at 565, 101 S.Ct. at 1258). The Court in Bourland said:
The District Court made extensive findings that neither of [the Montana ] exceptions applies to either the former trust lands or the former fee lands [both located within the taken area]. And although the Court of Appeals instructed the District Court to undertake a new analysis of the Montana exceptions on remand as to the 18,000 acres [of former fee lands], it did not pass upon the District Court’s previous findings regarding the taken area as a whole. Thus, we leave this to be resolved on remand.
Bourland, — U.S. at -, 113 S.Ct. at 2320 (citations omitted). Taking our cue from Bourland, we now consider the District Court’s findings concerning the Montana exceptions.
The first of these exceptions, which permits tribal regulation pursuant to consensual relationships entered into with an Indian tribe or its members, Montana, 450 U.S. at 565, 101 S.Ct. at 1258, is not relevant here, as the District Court noted. The second exception would allow the tribe to retain regulatory jurisdiction over non-Indians on the taken area if “the conduct of non-Indians” on that land “threatens or has some direct effect on the political integrity, the economic security, or the health or welfare of the tribe.” Id. at *870566, 101 S.Ct. at 1258. We conclude that the District Court’s factual finding set forth in its memorandum opinion — that non-Indian conduct on the taken land, relative to hunting and fishing, neither threatens nor has a direct effect on the political integrity, the economic security, or the health or welfare of the Tribe — is not clearly erroneous.4 See Pullmavr-Standard v. Swint, 456 U.S. 273, 287, 102 S.Ct. 1781, 1789, 72 L.Ed.2d 66 (1982).
The Tribe contends that the record supports a finding that the Tribe is directly affected or threatened by the conduct of non-Indian hunters and fisherman. It is true that the court found that non-Indians “may have harassed cattle grazing on the taken area or on tribal lands, failed to close pasture gates, or let down wires on fences.” South Dakota v. Ducheneaux, Civil No. 88-3049, 1990 WL 605077, slip op. at 12 (D.S.D. Aug. 21, 1990) (hereinafter “Mem. Op.”). The court also found that non-Indian deer hunting “on the taken area and the nonmember fee lands does reduce the amount of deer available to tribal members,” but “does not decrease subsistence hunting by members as few deer are harvested by members for subsistence purposes.” Mem. Op. at 11. These incidents undeniably are vexatious to the individual Indians affected, but we think it is plain that they do not amount tp a direct effect on the political integrity, the economic security, or the health or welfare of the Tribe as a whole, and we are satisfied the District Court did not err in finding that they do not threaten these tribal concerns such that tribal regulatory authority over non-Indians attaches under the second Montana exception.5 See Mem. Op. at 18.
We conclude the District Court was correct in permanently enjoining the Cheyenne River Sioux tribal authorities from excluding or attempting to exclude non-Indian hunters and fishermen from what is known as the taken area of the Cheyenne River Reservation, and enjoining those tribal authorities from regulating the hunting and fishing activities of non-Indians within the taken area.6 We are constrained to point out, however, that this result does not foreclose the Tribe from seeking relief in the District Court in the future, should the improper conduct of non-Indian hunters and fishermen on the taken area escalate in severity so as to have *871a direct effect upon the political integrity, the economic security, or the health or welfare of the Tribe as a whole, thereby warranting invocation of the second Montana exception to the abrogation of tribal regulation of non-Indian hunting and fishing on the taken lands.
For the reasons stated above, the judgment of the District Court is affirmed, except as to the District Court’s determination that there is no tribal jurisdiction over the hunting and fishing activities of nonmember Indians within the taken area or on nonmember fee lands. As to that issue, we reinstate part III of our vacated opinion, Bourland, 949 F.2d at 989-90, holding that the issue was not properly before the District Court and vacating that portion of the District Court’s opinion. Further, we reinstate part V of our vacated opinion, id. at 996, addressing South Dakota’s cross-appeal.
. When we use the short citation form “Bour-land ” in this opinion, except as noted infra p. 871, we will be referring to the Supreme Court opinion and not to our previous, and now vacated, opinion in this case, nor to any of our published orders. We refer the reader who is interested in the history of the Cheyenne River Reservation and the earlier history of this case to the Supreme Court's opinion in Bourland.
. We have taken with the case Bourland and Rousseau’s motion to file a supplemental reply brief. Our briefing schedule called for the filing of Appellee’s Supplemental Brief by February 14, 1994. Oral argument was heard on May 9, 1994, and the motion concerning the supplemental reply brief was filed on May 16, 1994. The motion is denied as untimely.
.We will refer to the hunters and fishermen whose activities the Tribe is prohibited from regulating as "non-Indians,” as did the Supreme Court, recognizing that South Dakota did not seek review of our earlier opinion vacating the District Court's decision on the issue of the Tribe’s regulatory jurisdiction over Indians who are not members of the Tribe, see infra p. 871, and the Supreme Court did not address it, see *870Bourland, — U.S. at-n. 6, 113 S.Ct. at 2315 n. 6.
.South Dakota, and the nine amicus curiae states, have urged us to adopt the more stringent standard set forth in the plurality opinion by Justice White in Brendale v. Confederated Tribes & Bands of the Yakima Indian Nation, 492 U.S. 408, 109 S.Ct. 2994, 106 L.Ed.2d 343 (1989). Brendale is a zoning case in which Justice White opined that, for an Indian tribe to retain jurisdiction over non-Indians pursuant to the second Montana exception, "[t]he impact [on tribal interests] must be demonstrably serious and must imperil the political integrity, the economic security, or the health and welfare of the tribe.” Id. at 431, 109 S.Ct. at 3008 (emphasis added). We neither consider nor decide whether Justice White's Brendale opinion modified the second Montana exception for cases such as that presented here. The District Court’s findings were reached under the less rigid Montana standard, but the result we reach today, holding that those findings are not clearly erroneous and denying the Tribe regulatory authority under the second Montana exception, obviously would be the same under the tougher Brendale standard. Cf. Pullman-Standard v. Swint, 456 U.S. 273, 292, 102 S.Ct. 1781, 1792, 72 L.Ed.2d 66 (1982) (“where findings are infirm because of an erroneous view of the law, a remand is the proper course unless the record permits only one resolution of the factual issue”).
. The Tribe directs our attention to the record for other alleged facts supporting its argument, "facts” that the District Court did not find: non-Indian hunters have driven and shot across the taken land, causing the Indian-owned cattle grazing there pursuant to one tribal rancher's lease agreement to become “nervous," and causing the cattle to move away from good grazing areas and water; a goat was found shot and a tribal rancher surmised the culprit was a non-Indian hunter he had seen earlier; stray birdshot from non-Indian hunters has made the Tribe’s buffalo “jump,” and has disturbed the herd grazing in or near the taken area. As we have noted, these incidents were not included in the District Court’s factual findings. Even if we were to assume that all the alleged incidents in fact occurred, the result here would not change. When these isolated and sometimes vague reports of spotty incidents are added to the reports the District Court credited, we still are left without a direct effect on the political integrity, the economic security, or the health or welfare of the Tribe as a whole.
. South Dakota did not seek a declaratory judgment that the State has regulatory jurisdiction over hunting and fishing in the taken area, and the Supreme Court did not consider the issue. Bourland, - U.S. at - n. 12, 113 S.Ct. at 2318 n. 12.