You're confusing "stay put" with "found a niche and a perpetual and abundant source of food". Many urban species have adapted to city living: Raccoons, skunks,

You're confusing "stay put" with "found a niche and a perpetual and abundant source of food". Many urban species have adapted to city living: Raccoons, skunks, pigeons and sparrows have all found their home and thrive on urban conditions where food is everywhere. A rat living in the city has it pretty good compared to those that have to forage in the wild. Slices of pizza regularly fall onto the subway tracks, for example, but this really doesn't happen in the middle of the forest. Nobody leaves huge dumpsters full of food scattered across the countryside, but they're literally on every single street corner in a city like New York.