So I grew a couple of birch trees in front of my dungeon (level -170), but when I chopped them down I was startled to see a ghostly 2-dimensional black image of the trees still standing. They remain, even after re-logging and even re-starting the game. These ghosts are real.
I can't interact with them in any way, and my axe passes right through them, as you would expect with any self-respecting ghost.
I re-planted two more in the same spots, and when they grew to maturity, the ghosts could still be seen within the new trees.
When I chopped this second generation down, it was not too surprising to see a second set of ghosts intermingled with the first. How many ghosts can you fit on the head of a pin?
The whole concept seems almost appropriate for a dungeon area, but I doubt this was intended.