Or so it seems considering the data of Fregel et al., a study I have in my to-do list for some time and that I don't see cited often or ever at all.
Rosa Fregel et al., Neolithization of North Africa involved the migration of people from both the Levant and Europe. BioRxiv 2017 (pre-pub). DOI:10.1101/191569
The critical piece is probably this selection from Admixture results but which repeats over and over through the study with many more analyzed populations from all West Eurasia and North Africa:
We see how KEB (Morocco Neolithic) is a mix of European Neolithic intermediate between Iberia (purple) and Sardinian (blue) on one side and, on the other, something like Mozabites (not shown in this detail, cream). TOR is a new Neolithic sample from Andalusia.
Another ancient Moroccan sample IAM (pre-Neolithic, not shown here either) is fully cream-colored like mostly are modern Mozabites.
Interestingly we see for the first time the emergency of a purple-colored component that differentiates Iberian Early Neolithic from the rest (although this does not happen at lower K-values, so they are still related), a component that, in the MNChL (Middle Neolithic and Chalcolithic) period, somehow appears as dominant in Italy (no data for earlier times) and becomes quite dominant in Central Europe.
This is intriguing to say the least. It must be said that modern Sardinians and Basques (these probably, not labeled) are low in the purple component, although less than other populations, and that somehow the Early Neolithic (blue) component made a comeback:
I do not want to over-interpret all this (autosomal genetics are not an exact science) but, judging on KEB, the purple component is not just a generic southern branch (Cardium Pottery) distinction but something specifically Iberian or Italo-Iberian. The matter needs more research but it is in any case very intriguing that the purple component seems to expand from Iberia or somewhere nearby (France?, Italy?) in the period leading to the Chalcolithic, a most critical one in the formation of the genetics of Europe.
There is a also a little hoard of DNAmt and Y-DNA, with G2a-M201 (in Europe), E1b-L19* (in pre-Neolithic North Africa) and T-M184 (in Neolithic North Africa) in the patrilineal side and quite a bit of varied K1a in the matrilineal one, as well as JT (also in both shores) and U6 and M1 in North Africa.
Worth reading and keeping in mind, no doubt.