Many Qataris are afraid of dogs plus they believe the dog is unclean because of how it cleans itself with its tongue so they don't want to be touched by a dog. Out of respect its best not to take them where locals are getting their exercise, but a recent notice on this site said the beaches were making dogs die due to poison. Plus, I have known people if they let their dog stray too far from them the dogs get taken, so keep the dog on a leash unless you are on a far off beach. It would be nice if someone posted parks that allowed dogs so far I don't know of any.