I live in the second largest city in Panama, and fully 80% of all households have back yard chickens, and many families also keep other small livestock such as rabbits, goats, ducks, quail, a few have geese... It is commonplace to raise these animals for meat and/or eggs... for food to feed ourselves. A dog is supposed to PROTECT livestock, not make sport of them or eat them.
Here, it's understood that if a dog is caught red-handed, so to speak, killing chickens or molesting livestock that the owner of the livestock has every right to kill the dog or demand that the owner of the dog do so. Absolutely no qualms about it.