I thought about that, but given Rand and Aviendha's children's incredible affinity with the Power, it seems really strange that the ability would completely vanish within a few generations. More importantly though, I came about this question thinking about Rand's ancestors. Tigraine was daughter-heir of Andor, so she studied at the White Tower. In other words, we can assert that she had no channeling ability at all, or the Aes Sedai would at least have given her Morgase's treatment. So clearly the channeling genes come from Janduin. But none of his patrilineal ancestors were channelers. Obviously the ability comes from a woman who married into that line.

It's not impossible, but I just thought it was incredibly weird that you have the greatest channeler of the Age, and then his children are revolutionary über-channelers and then there's no-one else for generations in either direction.



Ah yes, that sounds plausible.