Argh. You almost need a genetics book for that, because it can get complicated: it depends on more than one gene. I think that for most breeds, it's important that both parents have good lacing. However, there are some breeds where breeding for good markings on a rooster requires parents that look one way, while trying for good markings on a hen requires parents that look another way. Can any of the show folks help us out?
What birds are you working with? I might be able to dredge up some information if I know what breed to research. (I'm a book nerd.
One is, what breed are you referring to? Some breeds have lacing with completely different genes than others. However two, all lacing at least derives from the patterning gene and the melanizer genes. So, those are where it is inherited, however, a couple other things are huge factors in how it is passed on, too.
I'd probably ramble on for about 3 paragraphs to explain it though. I guess those two genes there are the main ticket, the next is Partridge based lacing vs Crowwing/Birchen based lacing. One is simple, the other a lot more difficult. The crowwing based is found on Polish and Sebrights, the Partridge type found on Wyandottes, Brahmas, Orpingtons, etc.
Ah! Regrettably, I don't know anything about color genetics in ducks; what information I've got is chicken-related. But I'm sure there will be somebody on this forum who can point you in the right direction. Or you might consider talking to someone at the local agricultural college: it's a perfect subject for a research project, so someone somewhere has likely at least published a paper. Best of luck--what you're describing sounds very handsome!