A cooling period in Europe would definitely have spurred the subordinate tributary tribes along the Danube to boot out the warrior elite groups ~ at just this period of time.
Galician records report that the Celts arrived in Northern Spain in this period, and moved on to Brittain about 100 years later (as things warmed up presumably).
It's all making sense now.
The pulse of the climate (cold to warm to cold to warm etc) seems to have been the large reason for the migration down the steppe, probably in both directions.