I am a firm believer that killing coyotes doesn't do a damn thing to help any prey or livestock pops, unless you're hunting a specific problem animal. Otherwise you'd have to be relentless with traps/poison and continue doing so for as long as you want that particular coyote population lowered.
Killing one here and there does nothing. They'll move in from surrounding areas almost instantly.
I do love shooting them though, and never pass on an opportunity.
