It can be hereditary so definitely cull him rather than breeding.
We don't castrate but without knowing if it is a problem in your line you can't know for sure on that. You could take a bite and find out:
http://sugarmtnfarm.com/2012/03/20/have-your-pig-and-eat-it-too/
Pasturing, high fiber, rotational grazing also help reduce taint. One researcher I spoke with years ago suggested chicory. I suspect that's just the high fiber angle but don't know if it might have some additional benefit.
Harvesting him younger also increases the odds in your favor as lots of research has shown.