While it's true that coyotes can travel hundred of miles in a very short time, there are many that aren't transient. I have caught 12 so far this year, 40 last year, and 19 the year before. I have caught a coyote in a leg hold several weeks after she broke one of my snares as I took her picture; I caught her about 200 yards away with the snare still around her neck. I shot one in the head last year and took it out of the trap. Much to my surprise as I was carrying it to the truck, it decided to come back to life and tried to take a bite out of my leg. I dropped it and it run out of sight. This year I caught that coyote in the same trap location. I could see the scar, and when I skinned it it had the .22 bullet under it's hide. So, although not a scientific study, I can tell you that most of the coyote population is not nearly as transient, and I believe coyote trapping helps the fawning situation, or at least can't be hurting anything. I'm a descent trapper, but I think all you can hope to do is somewhat keep the population from exploding.