Using some U.S. Census data from 2007 that I found online, I've been extrapolating a "rootedness" figure for each state. The two base numbers I use are the percentage of the state's population that is foreign born; and the percentage of the state's population who are native-born Americans who were born in that state. I subtract the first number from 100%, then multiply the result by the second number to get the overall percentage of residents who have roots in the state.
Many states that have a high rate of native-born Americans who were born in the state, and a low rate of domestic in-migration, also have a low rate of
foreign in-migration, but not all. New York, Illinois, and California qualify in the first two categories (which may surprise some people), but have very substantial foreign in-migration, especially into their major cities (from which American-born residents are fleeing in droves because of their high cost).
The most rooted state currently is the special case Louisiana, which had an unquestionably odd decade. 79.49% of its residents were born there. But domestic in-migration is picking up there again.
The other most rooted states are in the rust and farm belts: Michigan (75.97%), Pennsylvania (75.11%), Ohio (74.92%), Iowa (72.27%), and my current home state of Wisconsin (71.82%). These states are not popular destinations for native-born Americans or for new immigrants. In the long run, they have little to offer, and they will not develop economically. It is a bizarre but true fact that both North Dakota and South Dakota have lower percentages of residents born in their states than Wisconsin! Over my seven years in this state, I came to realize that no one would want to live here, unless it was the only world they knew. Some of these states would die altogether but for inertia.
On the other end of the spectrum is the state I am moving to this Friday for my new job, Nevada, the least rooted state in America -- only 22.97% (you read correctly) of its residents were born there. Close behind are Florida, as you would expect (33.98%), and Arizona (35.62%). Naturally, these states are works-in-progress, but they have an economic vitality that the Midwest will never challenge again.