SAGA has no authoritative control over the dogs on the island. It is trying hard to teach responsibility to people who have dogs but there are beliefs that stem from longstanding habits about letting dogs roam even though they may have a home. I can think of a couple of types of small dogs that don't know they are small and if a fight is started those "toy" dogs will go for the throat of a larger dog in the blink of an eye, as opposed to running away. The main thing is you must be responsible for your dogs' safety in any case.