The common wisdom is that "high white pieds throw low white pieds, and vice versa."

But then you also see breeders such as Roussis bragging about their "high white lines". Or their "high-color lines," or their "genetically stripey pieds," etc.

Having spent HOURS AND HOURS OF MY LIFE on the internet looking at available pieds, and pied clutches, and pied parents, and also pieds pieds pieds, I can say with some confidence that your average pied is on average a bit more likely to throw pieds that look like itself, and that some pieds seem to have genetics which allow them to consistently produce clutch after clutch of very similar-looking babies (though those similar-looking clutches do not always resemble the parents!)