We have been tracking this topic for some time via the work of Robert Thornton. What becomes more and more clear is that there is scant evidence of an original peoples going back five thousand years. Overlaying immigration has absorbed all that.
The known influx, just in the past two thousand years include a large movement from the Maya, the Andes even and from the Shepardic Jews coming out of Spain. Add in a severe coastal collapse caused by a tsunami around 500 AD and the picture is muddy.
Now we have serious work begun aimed at sorting all this out. Just loudly confirming the above is an excellent start.