Y-Hg dominance since (Late) Neolithic in West Eurasia areas?

[ChrisR]

Does enough Neolithic or Late Neolithic ancient compared to modern Y-DNA results allow the conclusion the Y-descendants of the Y-Haplogroup dominating in (Late) Neolithic are in modern time still dominant in an West Eurasian area?
I have some good candidates for LBA, but nothing comes to mind for Neolithic times, maybe some I2 in the Balkans? I do not think a particular J branch can be proven dominant in a (Late) Neolithic part of West Asia (Middle East).

[Vinitharya]

But the I2 in the Balkans wasn't there in the Neolithic period, it was somewhere to the north. That branch of I2 didn't get to the Balkans until the Slavs.

[RCO]

In the case of J1 the major local dominance in Eastern Caucasus via genetic drift and the J1 basal diversity in J1 native cradle in the Eastern Wing of the Southern Arc: Eastern Anatolia, Armenia, Northwest Iran, Northern Mesopotamia, where Paleolithic, Mesolithic, Neolithic, Eneolithic, Bronze Age and Iron Age J1 clades are still very representative in very competitive and ancient languages and populations.