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Forgive my cluelessness........
So you mean 7th and 8th generation?
I would only intend on breeding the original parents, not father to offspring. But I am concerned that an extra egg from offspring could accidentally get in the clutch for hatching.
You have male A and female B
the offspring from them would be male AB and female BA - a 50% mix or 1/2
if you breed them back to the parents you would get ABB and BAA - 75% mix or 3/4
keep going and you get 7/8, 15/16, 31/32.
Clear as mud right?
There is more to it but that is the jist of it.
So you can go 4 generations with ease - if you start with more pairs of unrelated birds at the beginning your "family tree" is much bigger and you can go many years without problems
Linebreeding is a form of inbreeding, linebreeding concentrates gentic traits in a controled way. It will allow you to keep a closed flock.
Some people just pen breed - which is uncontroled mating and every so many years just add new blood to the mix to keep it going. It works just fine for a barnyard flock of birds, if you are trying to breed to a goal it won't work.
In your case you will be fine, assuming your birds are unrelated from the start, and even if an egg gets mixed in here and there you won't have any problems for years. Your only problem I could see is after 3 or 4 years you will want to replace your main breeders, as they get older the egg production and fertility will drop. Hope that helps explain it better?
Steve in NC