I've had these for a long time, can't remember. Resolution and AA doesn't matter, it's always there.
These "effects" are most noticeable when playing games that use large terrain and have lots of things in move (RPGs like Gothic, Risen, Two Worlds 2, Divinity 2, etc. and games like Assassin's Creed, Arma2). On the other hand there are no signs of them when playing shooters. Also, I just ran some GPU stress tests, no visible problems.