Many US cities are shrinking.

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Note added at 31 mins (2015-01-26 11:40:26 GMT)
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Detroit's bankruptcy can in part be traced to the loss of more than a million residents. So how have other "shrinking" US cities coped?
http://www.bbc.com/news/magazine-23383361
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Website dedicated to the shrinking of Detroit.
http://www.shrinkingcities.com/detroit.0.html
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Detroit itself, however, is still shrinking. It's down 10,000 people from the previous year, with just under 689,000 people now.
http://michiganradio.org/post/yes-detroit-still-shrinking-mu...


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Shrinking cities are dense cities that have experienced notable population loss. Emigration (migration from a place) is a common reason for city shrinkage. Since the infrastructure of such cities was built to support a larger population, its maintenance can become a serious concern. A related phenomenon is counter urbanization.
http://en.wikipedia.org/wiki/Shrinking_cities

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Note added at 7 hrs (2015-01-26 18:46:23 GMT)
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For completeness, let me list here "involution:"

Breaking with the exoticizing cast of public discourse and conventional research, Urban Outcasts takes the reader inside the black ghetto of Chicago and the deindustrializing banlieue of Paris to discover that urban marginality is not everywhere the same. Drawing on a wealth of original field, survey and historical data, Loïc Wacquant shows that the involution of America's urban core after the 1960s is due not to the emergence of an 'underclass', but to the joint withdrawal of market and state fostered by public policies of racial separation and urban abandonment

http://www.polity.co.uk/book.asp?ref=9780745631257