Ok, done my own analyze of this.
So I did some fast rotoscoping to make it easier to see.
Keep an closer eye on the branches instead of looking at the plane.

(click to open player in new window)
This seems to be, from earlier posts in this thread, to be an old hoax.
So this might have been talk about before, but anyway, the only thing that is happening here is that the shot angle is being changed.
By panning the camera to the right and to move the camare forward he get this effect.
If you are on a big boat you can see the same effect on the water when you are walking back and forward on the deck.
[edit on 20-3-2009 by Akezzon]