In fact, thinking about it, I'm starting to believe that Scandinavia wouldn't even recognize Sami as a distinct ethnic group, but rather use it wholesale for all Finno-Ugric migratory people, where the only difference between Finns and Sami is that Finns are sedentary, while Sami is migratory and tend to poke around in ancient Scandinavian lands.
Sure they won't overcome other nations in pure quantity (don't think they could realisticly except to do so any time soon, if ever given current border situation), but given the relative growth I really think that Scandinavia might well be on top, simply because they have so much land that can be parceled out to become fresh farmland, which on the short term makes for a few population shifts between different parts opening up for a larger average farm size per peasant family, and on the longer term makes it so no-one is affraid of not getting a decent plot of land to settle on, even if they might have to accept getting moved by the government (who'll likely accept subsiding a large part of the cost of moving them and getting them settled, taking it out of the taxes, or doing it via limited tax exemption for moving families).
