- I don't have to periodically pick it up and reposition it because of running out of mousepad room. (My wrist doesn't like doing that, and my sister -- who has had surgery for carpal tunnel syndrome in both of her wrists -- says it's bad too, but I couldn't find an online citation.)
- I can press the buttons without accidentally moving the pointer at the same time. (This is mainly a problem with ball mice, but I've gotten unintentional pointer movement with optical mice too.)
- I find it easier to do things that require pixel-level accuracy with a trackball.
I prefer the Logitech TrackMan Wheel, whose trackball is thumb-operated:
And the most important, it protects you from carpal tunnel syndrome. I started suffering from CTS and had to switch hands at first. Then finally dropped the mouse and got a trackball (precisely the one you point at) and never been happier.
It's certainly less stressful on my wrists for me. I can now move the pointer all over the screen but just wriggling two fingers over a range of about an inch. My wrist and arm are always in a resting position when trackballing, and left clicking with my thumb feels easier than with my forefinger.
I tried those for a while when I was on my last ergo kick. The ball was just too hard to move for me. I almost had to pinch the thing to make it slide.