I have watched coyotes chasing turkey's in broad daylight and even had them come in and inspect me while I was calling in turkey's. They will lessen the game numbers out there. I like to hunt them for the challenge and the extra hunting time added to whitetail deer and wild turkey hunting.

My brother stricly hunts coyotes and his situation sounds like yours plus them coming into his yard to attack his pets and intruding on his in-laws livestock. He never hunted then one day he was all about hunting yotes for the reason of disliking them for being troublesome.

I have seen deer overhunted to the point I would rarely see one and it would take a couple of years to get their numbers back up. I have never seen coyote numbers dwindle like that on properties they are hunted or trapped.