It’d be a bit of a challenge building a family tree. No common last names through generations, and many unrelated people with the same last name.
And I realize the English had similar traditions with last names like John-son and Jack-son, etc. But I guess that was abandoned centuries ago.
Iceland is small enough that it still works. Their population is approximately that of my county in GA, around 1/4 million. We’re actually a little bigger.