I wonder if we stopped trying to eradicate coyotes we might have an easier time with rats. I personally would rather see a coyote than a rat.
This inevitably brings us to the story of the reintroduction of wolves in Yellowstone, and how they eat the deer which brings back a whole new slew of changes.
There are tons of coyotes in Alberta, to the point where my very urban university has had to put up "Be Coyote Smart" signs since they keep showing up on campus. Nobody that I'm aware of is trying to eradicate coyotes here either, aside from the occasional farmer during calving season.
fox eat rats too
Farmers and pet-owners might prefer the rats.
Around here the coyotes eat mice. I'll see a golf ball size blob of crushed bones and fur on the driveway now and then.
A few years ago, a coyote mom with her 5 pups set up shop on my front lawn. She'd keep a weather eye on me, and me on her, and we got along fine. Over the summer, the number of pups dwindled. I saw a severed head of one a ways away, I think it was done by an eagle. I think only 2 survived the summer.
I sometimes see 6 eagles at a time circling overhead. One flew by so close I could have touched its wingtip. Wow!
A bobcat lives nearby. I see his tracks in the snow, and saw him a couple times.
I live well within the Seattle metropolitan area. Isn't it amazing?