Leaving intentional empty space in a photograph is not something one generally tries to do, not unless you’re creating that backdrop for something like a screen saver. Visual dominance is not just for screen savers though, you can use it to emphasize your subject and create more interest. The photo above was bland and visually noisy so I zoomed in inadvertently causing visual dominance that worked for the rooster with its intense stare. One can only guess what was going through his mind… his tiny, vicious mind.
The photograph below shows the subject dominating the background causing visual dominance of a different sort, inverted compared to the photograph above. The rule of thirds should be followed when using visual dominance in your composition, without it your photograph will look more unbalanced than normal.