Like most predators and prey they go through population cycles. The prey population increases (typically Rodents for Coyote) the predator population increases until they deplete the prey population and you end up with a peak of half starved and desperate predators.

You may be doing them a service reducing their numbers and smoothing out the peaks and valleys in the population.

The litter size seems to be directly proportionate to the available territory and the availability of game. So after you thin them out, they have larger litters.

In a balanced ecosystem their are few Coyotes, mostly the Wolves won't tolerate them. The Coyotes won't tolerate Fox. You are likely the closest thing to a wolf to do the job.

They tend to pack together when the youguns get old enough to hunt in the fall and they may go after larger game. They would periodically make a raid through my old neighborhood and get every Cat and small dog they could. Back then the municipality paid $12.50 an ear bounty.

Check with the DNR, there may be a bounty. Some states do, some don't.

High Coyote populations spread disease, Mange and others way nastier.

If you decide to skin them, they do have nice winter pelts, keep this in mind. https://en.wikipedia.org/wiki/Echino...multilocularis no cure, fatal in 10-20 years.

Gloves, face mask, wash your clothes above 160 F and transport the dead Coyote in plastic trash bags. Disinfect your work area.