Originally posted by FTZ35:

Some creatures, like boars, neck and trolls only start spawning as starred variants in areas sufficiently far from the centre of the world.
Wolves onlready have a "night-only" limitation for having starred spawns so I am wondering whether it would be possible for me to tame a 2 star wolf on the starting island if it has a mountain large enough to spawn wolves.

Both the 1 & 2 star wolves I captured & tamed (with some luck & preparation) were both found on my starting island. Both spawned at night. Also from my findings the 2 star wolves are usually on bigger mountains, so look for a 2 star there. But I did manage to only find 1 star wolves on a smaller mountain, cannot confirm if 2 star wolves spawn on smaller mountains, my guess is probably not.

Larger mountains I found tend to night spawn both 1 & 2 stars wolves about the same amount that I found and was able to capture & tame.

Also I came across a 2 star lumberjack troll the other day, (not the rock yeeting variant) as it attacked me while I was riding my lox from the south of the starting island.