I should mention that IANA geneticist or anything. The subject fascinates me though and I’ve studied on it some. After long consideration, I say no.
First, by definition “siblings” must have at least one parent in common. By the third child, it’s the deceased father’s brother having a child with the deceased mother’s sister. The children would be blood relatives of course, but not siblings because there’s no common parent.
Setting that technicality aside, are they related enough to be quarter siblings? Actually I think they’re related too much. My (full) siblings and I have 50% of the same DNA. I got one half from my dad…my brother maybe got a similar but different set.
And so it is with the father’s brother and mother’s sister, whom the example crosses at the end. In the 3/4 sib example, father’s brother substituted when he died, making future children 25% on paternal side but still 50% on maternal side. This would make it 25% + 25% =50%. Your uncle’s and aunt’s child at the end would be as related to you as much as half-siblings, not quarter. So I think if you make that second remarriage to a stranger, that would hit the number.
I think I have determined that quarter siblings is an impossibility. When you have full siblings, there are two shared parents and four shared grandparents. If you have half siblings, one parent is common (as well as two shared grandparents). So it would seem like if you could engineer a scenario where only one grandparent is shared, that could give you a quarter sibling.
So Adam marries Betty and they have a son, Charles.
They divorce.
Adam marries Donna and they have a son, Edward.
Charles and Edward are half siblings. Their children would have one common grandparent. But those kids would be half cousins.
Short story long, if siblings must have one parent in common, they will always have that parent’s two parents in common—as few as two common grandparents, but never one.
Yes, I think I’d read something about them long ago. One image that has stuck with me for a long time—remember seeing the inbred girl through the window in the film “Deliverance?” Sad, sad stuff.
I hope we’ve answered OP’s question and this won’t be too much of a hijack.
I was thinking about a book I read once that talked about inbreeding in mice. I took it to mean that for whatever reason, they don’t circulate enough. So I searched. First I found that they breed brother/sister mice 20 times…yes, on purpose. I guess they’re hoping for identical mice so they can any change in condition must be due to the experimental treatment, etc. Wow, I have a lot of conflicting feelings about some of the material in the article.
A few years ago, a big nonprofit mouse breeding facility in Bar Harbor, Maine, went up in flames. 400,000 mice died. Ordinary mice and valuable special strains. More than 1,700 different kinds of mice. A colossal blow to the medical research establishment.
Lots of sentence fragments ahead but he seems to know what he’s talking about.