There are ways to reduce livestock losses that are both better and cheaper than killing coyotes. They include: Livestock Guardians (like my friend Odin here) and good fencing.
Hard to believe, but it’s cheaper than killing coyotes.
Ending America’s War on Wildlife | Earth Island Journal | Earth Island Institute
Ending America’s War on Wildlife
Project Coyote
Few Americans have heard of Wildlife Services, a little-known agency of the US Department of Agriculture charged with managing wildlife, largely at the behest of ranchers and agribusiness. Since 1931, this agency has been waging war against wildlife with a lethal arsenal of traps, snares, poisons, and guns. As detailed in a recent Washington Post article, the total carnage in 2013 alone included 75,326 coyotes, 866 bobcats, 528 river otters, 3,700 foxes, 12,186 prairie dogs, 973 red-tailed hawks, 419 black bears, and at least three eagles, golden and bald.

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