EHG genetic profile appears in Eastern Europe after the Late Glacial Maximum ( 20.000 ybp). Before that the region was populated by different people who apparently became extinct due to very cold weather.
EHG samples are found from north Caucasus till Karelia in the most northern parts of East Europe. In internet You can find various maps showing the EHG ancestry impact in world. They need some comments. ( See the link in comment section )
One way is to ignore the fact that most of EHG was dispersed by Yamnaya and Corded Ware. This is the frequent method but it's a confusing way because it creates a wrong perception about Yamnaya ancestry impact. Given that EHG was roughly the half of Yamnaya culture genetics many would assume erroneously that highest EHG means highest Yamnaya. Which is not true.
The other way is to extract Yamnaya/ Corded ware ancestry from the total EHG and to see what is left of pure EHG that was unaffiliated to Yamnaya migrations.
For this I selected Corded ware samples in sources, given that Yamnaya never moved to north Europe. Only Corded ware culture related to Yamnaya did. I also added ANE samples from Siberia to avoid pseudo EHG effect. And used Karelia HG to check the pure EHG.
I included all modern populations and here are the results.
The highest level of pure EHG unaffiliated to Yamnaya ancestry is found in Mari, Chuvash ( a Turkic group) , Saami, some northern Russians and Udmurts. The highest level is 33% but most of them has lower than 25%. As we can see today there is no much EHG left that is unaffiliated to Yamnaya/CWC. It is mostly found in north Eastern Europe which makes sense because this is the region where Corded ware pastoralists never settled. The cold weather was not permitting them to practice herding and basic crop raising.
Now let's see where is the highest Corded ware ancestry. The second chart shows that it is in north Europe mostly found in Germanic speakers in Scandinavia. It is 53% and lower. Notice that You will get the same result if Yamnaya is used instead of Corded ware. So Yamnaya related ancestry is the highest in north western Europe which has a trivial explanation. Most of north Europe especially the Scandinavia was a sparsely populated place. While south Europe , West Asia and South Asia had a high density of population. It makes sense that Yamnaya related ancestry would have left higher impact in regions with low density than in regions with higher density.
So what do tell us this data about the possible language of those northern EHG. Given that it is found only in a subset of Uralic speakers then it's very unlikely that those northern EHG were speaking an Uralic language. Even more most eastern Uralic speakers do not have any EHG, though they have Yamnaya related ancestry. You can note that the main peculiarity of the Uralic speakers in East Europe is the presence of Siberian / Nganassan ancestry. Their most frequent Y DNA N1 is also from the Siberian side. On the other side those northern populations virtually lack any Y DNA related to EHG. Whatever R1a they have is derived from Corded ware. Overall this suggests that the language spoken by those northern EHG is now extinct. The Uralic speakers came from east, from Siberia some time after the 1500BC. While IE speakers like Balto-Slavic and Germanic groups in north Europe descend from Corded ware culture that expanded in that regions after the 2800BC
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