Angela
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This is what I meant, Berun. Bear in mind that the Sardinian samples used in almost every genetic analysis are the HGDP ones from the isolated mountain plateau, not the western coastal cities with a bit of "other" ancestry. Some early PCAs were able to pick it up, even using only two dimensions. You can see that they are shifted left or west in the direction of WHG. They also overlap with the northern farmers, who were about 20% WHG.
You can also see it in ADMIXTURE when they drill down into the different areas of Sardinia. This is from Chiang e al using whole genomes, which is going to be more accurate. As you get away from that highland plateau, the "Yamnaya" increases.
Top half are the most isolated communities. In the coastal communities you're going to have the migration from the mainland, i.e. U-152. It would have been nice if they'd used more references, but this is at least more accurate than what we had before. Doubtless, some of the more minority ancestry, i.e. Punic, extra "Iran Neo" is going to get dumped into the closest of the three reference samples, or split up amongst them, but I doubt there was much of it.
Ed. Sorry, this is from Chiang et al Supplementary material.
Sorry again. I forget that not everyone is familiar with the different areas of Sardinia. You can locate the last six towns on the map, the ones with increased Yamnaya and decreased WHG. They're all the areas of the plain or the coast. The others are in or near the Ogliastra and the Barbagia.