I don't hunt my dogs, but I do know the law in Licking County for dogs running on my property. If they are just a "nuisance" then I have to complain to the owner and or dog warden.
If they are aggressive, either towards my family or my dogs, then I am allowed to shoot to kill. Aggression does include growling.
I've had both happen. Shot at a Rott that always went after my youngest daughter. Had another guy's male Weimaraner always coming around looking to hook up with one of my females. I explained to him that if his dog hooked up with one of my females, I would be charging him thousands for loss of income.
I wanted to shoot it, but the threat of going to court for loss of income worked.
I wouldn't shoot a dog for just being on my property, but it does get old when you are continuously running them off and complaints to the owners fall on deaf ears.
I had another male dog, friendly and sweet as all get out, always coming down to play with my females. I eventually leashed the dog to my porch and the owners got the message.