they are probably the most common but we love ours!
Production of eggs-we seem to have goose eggs every 2-3 days during the late Jan-Early May laying season. The daddies get a bit more aggressive during this time but nothing horrible.
Broody-Most will start sitting towards the end of their cycle. One of ours did the other didn't BUT let me tell you they are GREAT mothers!
Temperment-They are geese lol. So yes they are a bit nosy and like to "*****" at you. However when we kneel to their level and talk to them they tend to lighten up on you a bit. They are actually pretty quiet overall for geese. Only when they are "having a fit" do you even know they are around. Not sure what causes this but sometimes its more comical than a problem lol.
I like their protection they give me over my other birds. I feel much better knowing they are in charge when we are gone. Our guardian dogs are great and watch the flock but the geese run them out of their area(so no worries of a fox for sure!)