Angela
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one majory counfusion in this thread for this whole discussion is the IBD sharing between Aj and the other ME and EU populations. When i was reading the study, when they were discussing IBD sharing between the populations it didnt seem to be an issue at all for the authors that AJ shared the largest IBD segments with Eastern europeans, then next with Iberians, then next with southern europeans, and then next with middle easterners. This makes total sense according to the evidence suggested in the study, that AJ had more recent ancestry from Eastern europeans then slightly older or pre bottleneck ancestry southern europeans, and then ancestry from the original levantine Jews. Obviously you will share the longest strands of your dna with recent people who admixed with you, so this makes total sense that if Eastern eurpeans mixed most recently with AJ that they will share the largest identical strands of dna with them. If admixture was from along time ago such as the ME admixture in AJ then you would expect for modern ME and AJ to share very little IBD segments as the length of Identically shared ancestry would be broken up thousands of times and would not remain identical anymore. Higher shared IBD with Iberia is easily explained away by the recent gene flow in Iberia from Sephardic Jews. The sephardic Jewish ancestry in modern Iberians is quite significant. Maybe I dont understand how it all works quite well enough but thats what I understood from it. I still do think its best to wait for ancient dna evidence.
Take a look at the graphic of the IBD sharing, and also read the caption:
Both the less than 7cm and more than 7cm sharing is highest with Eastern Europeans.
Also, the length of the segments is not the only important factor; one also has to consider the mean number of segments.