From the MO Pond Manual: "Bullheads...are not recommended for pond stocking because their bottom-feeding activity may cause a pond to become muddy. This handicaps the sight-feeding bass and reduces food production. When stocked alone, bullheads overpopulate. In clear ponds with a good bass population, few bullheads will survive; but the ones that do will grow to a large size."

My pond is generally quite clear. It's murky only after a heavy rain. It's fed by runoff from good pasture, and the soil is quite rocky, which may be why my pond leaks. If BH did become a problem, I'm guessing a couple norther pike could get them under control. Of course, otters can mess everything up.