You're linking a dna study that disagrees with what you have written. Oldest R1b-M269 which is the branch that nearly all Europeans descend from was found in Yamnaya not middle eastern and Iranian people. This is why all the R1b-M269 descended branches carries that Steppe component. The oldest R is from Siberia Ma'lta Boy. R1b-M269 is not native to Western Europe but only arrived in the Bronze Age and the people who brought it to Western Europe are Bell Beakers. These Bell Beakers replaced the populations of both Britain and Ireland by 93% (possibly more in some areas) but it was a near total population replacement. There was not much Neolithic population left in either Ireland or Britain. Nearly all of these Bell Beakers were R1b-L21.
This sounds too much like the Lebor Gabála Érenn which was fictional. We have genetics now and Irish don't show any Iberian nor North African. They show high Bell Beaker and those Bell Beakers are the ones that were the same as Dutch and British Bell Beakers. If they came via the route you say they don't show any of it in their genetics and no genetic study (including the one you posted supports that route). The Farmer population like Ballynahatty which is discussed in the linked study
Neolithic and Bronze Age migration to Ireland and establishment of the insular Atlantic genome is most similar to modern day Sardinians and Iberians but not to modern day Irish and this is because Ballynahatty hasn't contributed much to the present Irish genepool whereas the men that were the Rathlins have.
Even looking at populations today you can see where they cluster. Irish would not be clustering with Dutch, Scandinavians etc if they had North African or even Iberian roots. No study supports this and you can even use models using the Global 25 which is a great tool for us novices. As I've said modern Irish aren't similar to Ballynahatty they share a lot more genes with Rathlin.
This is why that study you linked says this.
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In the paragraph above they mention this population turnover and that the modern Irish get most of their genetics with the Bronze Age Rathlin men rather than Ballynahatty.
Using G25 these are the populations that the Irish are closest to.
1 Irish:Average Scottish_Averaged Averaged 0.683
2 Irish:Average Orcadian_Averaged Averaged 0.929
3 Irish:Average English_Averaged Averaged 1.122
5 Irish:Average English_Cornwall_Averaged Averaged 1.334
6 Irish:Average Shetlandic_Averaged Averaged 1.39
8 Irish:Average Welsh_Averaged Averaged 1.399
11 Irish:Average Dutch_Averaged Averaged 1.589
15 Irish:Average Icelandic_Averaged Averaged 1.659
26 Irish:Average Norwegian_Averaged Averaged 1.818
154 Irish:Average Swedish_Averaged Averaged 2.701
168 Irish:Average German_Averaged Averaged 2.762
236 Irish:Average Belgian_Averaged Averaged 3.076
Quite a big gap to the next closest pops.
And then there are these two recent studies.
https://www.nature.com/articles/s41598-017-17124-4
https://journals.plos.org/plosgeneti...type=printable
If you know nothing at all about genetics all you have to do is look at any dna plot of look at where a population clusters and what populations are closest. This will tell you a lot. Populations are closest to people that they share genetics with and this is always the case. I can't understand how people don't grasp this simple logic.
This is Ancestry's newest population plot. Take a look where populations plot and even looking at this plot you can see where there has been genetic barriers. Mountain barriers are much more effective at stopping gene flow that water.
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