In the 24 years I've been on my place I've witnessed the cyclic balance of predator/prey.
Small game populations, most noticable is cottontail rabbits, begin to climb. Soon coyote and hawk population begins to climb. Small game numbers begin to diminish followed by a decrease in predators. The decrease in predators relieves the pressure on prey species which allows them to begin to repopulate and feed an increased population of predators. Rinse, wring, repeat.
We are currently in a low swing of small game and I have noticed a decrease in coyotes. I can usually hear them singing not far from the house when they are strong. Haven't heard them this Fall yet.