The Fool wrote: > > 1st generation children would have about 23 chromosomes from lone > invader-parent. > We are not talking about genetics, we are talking about genealogy.
> An Actual Inverse Square-Law as opposed to Alberto's Sqaure-Law. > The Law is this: suppose a non-racist, non-classist homogeneous population of N people, where x[i] [a number from 0 to 100%] of them descend from Gengis Khan in the i-th generation. How many will descend from G-K in the (i+1)-th generation? I this is like an infection model: for a new generation person to *not* be a descendent from G-K, *both* parents must not be. So, 1-x[i+1] = (1-x[i])^2 This Square Law is evil: at first, the number of "infected" people grows slowly, but geometrically. When x[i] becomes so big that the geometric approximation is no longer valid [this is quite fast: we all know about the chess-rice problem], then the Square Law must be used. So, if we think about 1 Giga "Eurasian Population", the number of generations necessary to "infect" about 1% of them is 24 [which would bring us to 1200 + 24 * 30 = 1920 or so]. Ok, maybe I was too optimistic [and I chose G-k, which would make the first generations growth anomalous] :-) But then, in the next 8 generations [the 32nd], the number of infected would be 90%, and vanish in the 36th. So, let me rephrase my claim. Everybody that lives now descends from _every Eurasian person_ that lived in Year 800 and that has at least _one_ living descendant. Alberto Monteiro _______________________________________________ http://www.mccmedia.com/mailman/listinfo/brin-l
