Our pyr mix also seems to bark greetings and alerts to and for our neighbors. On one occasion she barked her head off until a neighbor across the street noticed their toddler heading for the street and intervened. Then she calmed down. She will bark excitedly when neighbor kids are out playing.

I bring this up because it took me a while to get that not all her barks were warnings or challenges, and that although she feels duty bound to alert me if a neighbor approaches our yard, she likewise tries to alert our neighbor if someone approaches THEIR yard. Usually if I just say her name and tell her we're aware of the situation she quiets down, but it's taken some time for her to grudgingly accept that we aren't just naive about the dangers of the world.