Ed. I see LeBrok and Bicicleur have beat me to it.
My point in posting that Dodecad analysis was to show how misleading it can be to use Admixture calculators created for modern populations to analyze ancient genomes unless you understand subsequent findings. According to that calculator, Otzi, who is definitely a product of the Balkan stream of the Neolithic, has more SSA than Gok, and the most is in European hunter-gatherers, which is the opposite of the assertions made here. I don't know how often it has to be said and demonstrated, but Admixture calculators based on modern modal clusters have to be interpreted very carefully, and with a knowledge of what more recent methods have shown, or they can be very misleading.
You also have to be careful when discussing these Neolithic samples to know whether you are talking about the Early Neolithic of Impressed Ware/Cardial-Balkan Neolithic or you are talking about the Middle Neolithic. They are different, and the differences are the result of
differing amounts of local h-g ancestry, not because there were differences among the farmers who came to Europe.
If you go back and carefully re-read what I wrote and carefully re-look at all the graphics, you will see that I was discussing the
initial streams of the Neolithic. Those early EEF people, whether in the Balkans, Central Europe, or Iberia, were remarkably similar to the Anatolian Neolithic people, and the Anatolian Neolithic people, who were the ones who went to Europe (actually many of them migrated from the juncture of Anatolia and northern Syria) were almost indistinguishable from one another. There was no Levant Neolithic which went to Europe versus an Anatolian Neolithic. Natufians didn't go to Europe. The major division in terms of early Near Eastern farmers was between the Anatolian Neolithic (which indeed had a chunk of Levant Neolithic in it), and the Iranian Neolithic.
If you look at the Gunther et al graphic above, in particular, you'll see what I mean.
You also might want to take a look at the latest Reich paper on the Neolithic people of the Near East.
http://www.nature.com/nature/journal/v536/n7617/abs/nature19310.html
I don't know if E-V22 was specifically Cardial versus E-V13 being specifically Balkan. I would say not, as the precursor of E-V13 is found in a
Cardial setting in Spain, and Cardial moved from there all the way to the Paris Basin and elsewhere. Even if E-V22 was limited to Cardial, I don't see how it matters. Some differences in y Dna are to be expected. They don't translate into autosomal differences. Autosomally, these people were all very similar. We have many, many papers, and many autosomal analyses of these people to prove it. That's why I2a farmers and I1 farmers are identical to G2a farmers.
E-V22 could also definitely have reached certain areas of Europe with later migrations, some historical. Some could have come with Phoenicians, maybe some with North Africans during the Roman Era and later. I don't see any difficulty with North African troops under the Romans spreading it to northern Europe. They were stationed in Britain and along the borders with Germania.