Are there major differences if a city grows through local births or migration?

[Capsicum]

Cities can grow through many ways -- births, migration from nearby (e.g. regional, within-state, or province) or out-of-state (or province) transplants, or international migration.

Maybe there are some differences in how family-oriented housing is built or how schools are if local births drive growth versus young adult transplants or migrants, but then again if migrants settle and have kids, perhaps the difference is not as big.

Obviously, there can be major differences in cultural or demographic changes if transplants or immigrants grow the city from farther afield than either local births or local domestic migration (e.g. from nearby towns).