Your dog must be controlled at all times. The Ohio Revised Code specifies that all dogs must be either kept confined to your property or be under reasonable control at all times. Letting your dog out the door, for instance, is not normally considered reasonable control. It is considered reasonable if your dog is leashed or under your control as you walk him. You can be held responsible for damages which your dog causes to property or persons.
Controlling your dog is a courtesy to others and protects your dog. Imagine how your neighbor must feel when your dog runs through his garden, messes up his yard, knocks over his trash can or bites his child. If you live near farm country, imagine if you were the farmer who had just had his animals killed or injured by dogs. All of these things can and do happen in Brown County. It is the fault of no one except the irresponsible dog owner.
It's also dangerous for your dog to run at large. Dogs are no match for cars. Your dog may have fun digging in the trash and garbage but it can kill him. They could accidentally eat a sharp object or purposely eat sharp bones, both of which could puncture intestines and kill him or the irate neighbor or farmer could kill or injure them.