Butch, there was a study made in Central Europe where they monitored wolf packs.
If a pack came up to a herd of sheep, guarded by Pyreneeans ( Or any of the other breeds, there are about 30 different ones, all bred for the same purpose), the old wolves would simply move on.
They'd been there, done that, and knew the cost.
The only wolves that will attack a guarded herd, are the young and stupid ones. Then they'll learn, and stay away next time.
This was wolves, not coyotes.
What do you figure the chances are for Coyotes, when wolves and bears give up.
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