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Romashka comments on Stupid Questions June 2015 - Less Wrong
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Thank you. (It is odd how difficult it is to suppose that a random cat is the result of sequential inbreeding - they really look no different than random cats.)
In related news, check out MawBTS's comment on this Cochran post on inbreeding, on Cleopatra's ancestry. Yikes.
As I understand it, the reason the simplistic approach doesn't quite work is because the knowledge that a genetic combination produced a functioning adult allows you to update on the total degree of sharing / whether or not any of the ruinous parts were shared.