538 has a nice article on this, with graphs. You can see from the graph above that while wealthier people are moving to inner city neighborhoods in places like Manhattan, Brooklyn, Washington, and San Francisco, poor people are moving out. In fact the poorest people are fleeing inner city neighborhoods in record numbers. This backs up an insight I heard twenty years ago from a relative who works in real estate. Far-flung outer suburbs, he said, were destined to become the slums of the future as people get tired of commuting and the ones who can afford it move back to older urban neighborhoods and inner suburbs. The idea of suburban counties as white, middle class bastions is dead. The suburban counties around here include large concentrations of poor people, immigrants, and blacks. Fights have broken out over school district lines in several Maryland counties as middle class people seek to protect their children's schools, and the value of their houses, from influxes of poor, minority students.