I was pulled into LC fanfic by Nan Smith's Home series, and I remain an avid reader. I'm up way too late and really ought to be working on the things I'm up so late in order to work on; nonetheless, I started wondering about the odds of each power being passed on to the next generation. I don't know that anyone's hit this before, so here goes....
Referencing the annotated
Kent Family Tree linked off the Archive, I find the following trends:
1) No one who does not have a given power will pass said power to their children. This means once a power drops out in a given line, it could only be restored by in-breeding. Since the family is big enough to have third cousins (the closest permitted by law...), we might see e.g. Meriel Olsen marry Matt Kent and have children with both powers. Maybe. Probably a little safer to marry off a different branch, and moreso once Clark and Lori's children get older -- only half-siblings to the others, they'd be a fresh gene supply.
2) Clark, the only full-blooded Kryptonian of the family, always breeds both powers true. 100% of his children carry both powers. Half-bloods still have good odds -- 75% of their children are super-powered and 75% telepathic. Obviously, this provides a good overlap. Only 1 in 16 children should be without either power. (In fact, there are only 11 children in the following generation, one of which has neither power.)
The third generation down is something of a blip, since it doesn't seem to lie smoothly on the curve for either power, but diverges in opposite directions for the two. Super-powers are more likely to be passed on in the third generation, while telepathy is less likely in the third than fourth. Probably due to insufficient sample size.
Nonetheless, in both powers, fourth-generation Kryptonians (1/8 Kryptonian) who have a given power have a 2/3rds chance of passing it on to their offspring.
3) As a general rule, it would appear that each generation is less likely to pass on a power that they have. There may be multiple genes that can pass on a power, any of which or a subset of which is sufficient to possess the power, but the number of which determines one's odds of propagating it. In this case, we would expect to see the odds of passing on a power decline rapidly (as we do) with each generation possessing fewer of the genes, then level out in future generations once almost everyone with the power has a single possible gene. If a subset, it is possible that non-powered children might see a power resurface through in-breeding.
It is also possible that the genes themselves are degrading via mutation with each generation, causing them to be less reliably transmitted. In that case, we would expect the powers themselves to be degraded -- perhaps not so noticeable in early generations when Superman is rarely pushed to the limit, but in this case we might expect e.g. Cyclone (Henry Olsen) at 1/16th Kryptonian to be noticeably less strong/fast/whatever than Superman. With the telepathic talent, this might manifest as a degradation of range -- and didn't Clark pick up the distress calls from the Christmas party before anyone else? That might not just be a manifestation of his link to Lori, but barely picking up telepathic signals that were imperceptible to anyone else.
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Nan, as I recall, you're a medical person -- have you got any of the genetic stuff in mind already? I'm just being nosy and curious here -- and if I'm completely off or interfering with future directions, I'll be happy to behave myself in your part of the playground. ;-)
Anyone with a better knowledge of genetics or stats than I care to comment on how this would actually play out?