Think about islands near the mainland. If there are plenty of sharptails on the mainland, and the islands are nearby, odds are that some birds will stray to the islands over time. If an island is not suitable one year, it might be suitable in a couple years. Birds from the mainland will always be exploring within some range from the mainland, or nearby islands. If the birds on any given island are eliminated, the island will be repopulated in short order.
Now, move those islands farther apart, and make them smaller. The odds get more slim that birds will move from island to island, and that they will find suitable habitat if they wander. It becomes easier to wipe out the population on any given island. Populations that are eliminated may not be re-established for many years, if ever. The farther away the islands get, and the smaller the populations get, the easier it is for populations on a given island to snuff out and stay snuffed out.
This is happening to sharptails in northern WI. That big patch of new habitat was close to some major population, like in the Barrens or eastern MN.
In northcentral WI, the islands are getting smaller, and farther apart....