Another thing that complicates this is that there is not one brown gene. Last I heard there were 13 different genes recognized that affect the shade of brown when they are present and who knows how many unrecognized ones. Then you have all the dominant-recessive, co-dominant, partially dominant and all that so how one gene acts can depend not only on dominant recessive but on what else is there. One of those 13 recognized is sex linked.
I agree with you though, egg shell color genetics are simpler and more straightforward than feather genetics. There are so many melanizers, diluters, and other modifiers that every time I learn something on feather color or pattern someone comes up with an exception.
By the way, there is no genetic link to earlobe color and egg shell color. With most purebreds bred in accordance with the SOP, the red earlobes = brown eggs and white earlobes = white eggs I generally true. That’s probably where that came from. But Penedesenca have white earlobes and lay dark brown eggs and Phoenix have red earlobes and lay white or tinted eggs. There are other examples where that “rule” doesn’t hold with purebreds. When you get to crossbreds that rule certainly doesn’t hold. I have mutt hens with white earlobes that lay brown eggs, sometime fairly dark brown.
Similarly there is no link from leg color to egg shell color. I once had a yellow legged hen that laid a pretty mint-green egg.
There is a possible genetic link though that you can use. It’s not 100% but it’s pretty good. The blue egg gene and the pea comb gene are real close together on the DNA. They are so close together that one of the experts on here that I really trust said there is a 97% chance that if the pea comb gene is given to an offspring, the blue egg gene will also. For this 97% to mean anything the chicken needs to be split for both the pea comb gene and the blue egg gene and the other chicken can’t have either the pea comb or blue egg gene. Also the two genes need to be linked to start with. Otherwise the odds get all messed up.
Where this comes in handy is with the rooster. You can tell if the hen has the blue egg gene by looking at her eggs. Roosters don’t lay eggs. If you have what is supposed to be an EE rooster and he has a pea comb, the odds are pretty good he has a copy of the blue egg gene unless one of his parents that lays brown or white eggs (or has the genetics for brown or white eggs) also has a pea comb.
It gets even better. The pea comb gene is one of those partially dominant genes. If the chicken is pure for the pea comb gene, both copies at that gene pair on the DNA are pea cob, the chicken will have a pea comb. But if the chickens is split for the pea comb (has only one copy) you will get a wonky pea comb. You’ll still see the effects of the pea comb gene but it won’t look right. Probably some extra growth to make it a little higher. So if you have a chicken with a pure pea comb, it probably has two copies of the blue egg gene too. That’s good to know when you are selecting your breeders.
This being chicken genetics there has to be a complicating factor. If you have the rose comb gene in the mix, that will also affect what the comb looks like. Rose + pea gives you walnut. Plus there are modifiers that can give you a wonky looking comb anyway, such as the modifier for a buttercup comb. It’s not always as straight forward as I made it sound a couple of paragraphs up, but the 97% rule can be a powerful tool in helping you select your breeders.
This is all true, and good information. When I said a "brown coating gene" it was a vast oversimplification. It reminds me of when I was in grad school, and the prof told us: "Everything you've learned about this subject to this date has been a lie. Useful lies, as they allowed you to learn about the subject bit by bit and not get overwhelmed--but lies nonetheless because while it was mostly true, it wasn't the whole truth. In this course, I will teach you a more-complex and closer to the truth lie. Once you finish your PhD, you'll know that the real truth is that we're still not entirely sure exactly what's going on here, although we have some very good guesses. Maybe your original research will help us refine the lie we tell ourselves even further."
I heartily agree that you can get a really good idea of which of your EE roosters carry at least one copy of the blue egg gene by looking at the combs. My EE cockerels often end up with funky modified pea combs that are bumpy like pea combs and flop like straight combs since I tend to make Leghorn X Ameraucana crosses. And those Ameraucana x Leghorn cross hens lay blue eggs but have yellow legs. I supposed I never paid attention to earlobe color!
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