Trouble occurs when a small dog does not submit to a coyote. The coyote will discipline the dog to correct its inappropriate behavior. This discipline will continue until the dog submits or is eventually killed. Very small dogs, e.g., small poodles, are viewed by coyotes as easy prey and are at risk to be killed year round. Coyotes and Livestock Problems with coyotes and livestock do occur in New York.
Most problems involve sheep or free ranging chickens and ducks.
Most problems can be avoided with proper husbandry techniques. It is much easier to prevent depredation from occurring than it is to stop it once it starts.