Angela
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David at Eurogenes modeled it Half EHG, a third CHG and the remainder something like Anatolia and came up with a pretty good fit. I like it because it would mean admixture by neighbour groups (CHG, Cucutine-Trypolje) that both have been thought of a great influences to either Yamnaya (CT) or Indo-European culture (Caucasian), so it doesn't needs that strange thing that you propose, to wit that the more closeby CHG didn't contribute as much as remote Zagros farmers.
The good part of that post is that Iosif Lazaridis actually courteously posted a reply:
http://eurogenes.blogspot.nl/2016/06/yamnaya-eastern-hunter-gatherers-iran.html
I've never understood one thing about this argument: who says that the CHG still existed as a separate population at the time that this admixture took place?
Just because using an ancient group gets an ok fit in these stats doesn't mean it makes sense. Goodness, look at all the "great fits" for admixtures that were produced which turned out never to have happened.
As for the periodic interventions from the Reich Lab, they strike me as just that: interventions. They pop in when people are running around in circles. Of course, they can't reveal what's going to be in their papers, so they're often very cryptic. I wouldn't take it as a ringing endorsement of the conclusions, far less the unsavory associations of some of the people involved.
As to gene flow from "Old Europe" onto the steppe, I think it did take place, but I've yet to be convinced it reached the eastern part of the Yamnaya horizon from which we have most of our samples.