Recently the New York Times provided an interesting graphic about immigration patterns for each of the states in the US from 1900 through 2012. Below are the two graphs they generated for New York State, the first being for where people born in New York moved to, the second being for where people living in New York were born. Click on either to enlarge them.
Out-Migration for NYS
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In-Migration for NYS
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In comparison, here are two sets of tables showing the most recent migratory gains and losses for Herkimer County to other counties within New York State, as well as to counties in other states.