This is a response to a question posed to me by Justwondering. I initially thought of taking the data he refers to and classifying the races, but that is done many times, so instead I wrote a matrix calculation method for finding ancestral populations form data of five PCA numbers per population. Finding the PCA data for three ancestral populations to Europeans gives a natural starting point as one then can add other ancestral populations in order to get present populations. I think following a method that has some basis on prehistorical, largely known, movements and presumed admixture, is a promising approach. Here I have the method: (sorry, there is a small error in the end of the text below. You have to have 5 populations as from 4 populations two equations are linearly dependent. But this should be obvious if you program the method and try. If I have time later, I will program it and produce the results one can get. Then I also check in practice that the method works, but now this was just to answer Justwondering’s question.)
I will not go now to his second question, looking at the Jewish achievement in science and whether it can be explained by genes, as I doubt it can be explained by genes. I may write of the Jewish achievement in physics at some later point. There are good contributions, like the electroweak theory (two of the three authors were Jewish) and some I am not so fond of (Einstein and Feynman, I will write of the path integral method sometime later).