Willygoat, the local big city (Idaho Falls.....look, here in the sticks, an urban area of nearly 100,000 souls is a big city) was having a terrible problem with pigeons until a few pairs of redtails moved in. Not only is the pigeon problem now bearable, but the population of bush-tailed tree rats has also declined considerably.
This spring, we had problems with a male robin trying to get into my shop building. The silly little bugger literally spent hours trying to get through the windows to get inside. He was around the house all summer, and never did completely give up on moving inside. Our guess is that someone probably raised him as an "orphaned" nestling and got him used to being on the dole. We don't get too many red winged black birds here at the house, but can hear their calls....there is a creek that runs about a quarter mile from the house. During spring and fall, it isn't uncommon to find some Canadian geese visiting in our goose pen. As I was typing this, the resident redtail made a low flyby outside the shop. Hope he wasn't after the phesant pair that has been mooching scratch grains from us during the cold months....there are few enough of the game birds around as it is. Between racoons, foxes, skunks, and magpies, the local gamebird population has really taken a beating (not to mention our chicken flock).
And on the eighth day, God said "OK, Murphy, it's all yours."