The second table shows the probability of showing more Middle-Eastern admixture than those ancient farmers. It is found by searching best admixture fits with mandatory Bedouin reference samples. Negative alpha means no additional Middle-Eastern, positive alpha means a need for additional Bedouin-like Middle-Eastern admixture to create the best fit with ancient samples. Please note that Basques show lowest resnorm (best fit) and still no additional Middle-Eastern making the best fit in the junction point LBK380-NE1.
My last table shows possible Karitiana-like admixture in a same way. Note that French, Bulgarian, Spanish, Sicilian, Greek and Turkish groups would very likely show negative Karitian with Loschbour, but the best fit is found with ancient farmer groups. Basques show minimum admixture, again.
Sardinians were forgotten accidentally. They show no Karitiana-like admixture, but some Bedouin-like later admixture sure exists, more than among Basques.
I received a question about the lack of all Middle-Eastern affinity among some North Europeans, which sounds the be wrong. This test searched only Bedouin-like admixture, not Middle-Eastern in general. It is a great idea to include more Middle-Easteners to find more coverage in Europe, but as far as I have understood the Bedouins are one of the purest local people there and probably represent unidirectional gene flow from the Middle East. So the test arrangement is simple, but turns out to be much worse to interpret with a more complex Middle-Eastern data set. This same applies also to Native American and Siberian admixtures.