A few years back we had a problem with Dogs, they got 2 calves and just mutilated them and left them laying. On the second calf, when the dogs were spotted one was shot and taken back to the owner up the way and told him to get his dogs fenced or that would happen to the rest of them. He reimbursed us for one calf, which in our eyes was more than most would do...he didnt have any money, so to get that was satisfactory even with the loss we incurred. But, the next day he went out and shot 7 of his dogs...
We have honestly not had a problem with coyotes in about 15 yrs in our area. Had trappers come in and clear them out...then they werent bothering stock, they were getting peoples pets, cats and such. Got real brave in one instance was coming up to neighbors back porch and gettin the cats food and then snackin on the cats as well. Needless to say the trapper got them first.
Anyway, my point is that all in all the only real problems we have incurred in losing livestock has been pack of dogs, they destroy more than coyotes here..and people will accuse it on the coyote.
Easty