And I think it is clear that the consciousness aggregate is the main actor in this process.When the mind was thus concentrated, purified, bright, unblemished, rid of defilement, pliant, malleable, steady, & attained to imperturbability, I directed it to the knowledge of the passing away & reappearance of beings. I saw — by means of the divine eye, purified & surpassing the human — beings passing away & re-appearing... in accordance with their kamma...
Biological reproduction is also a process of continuity-and-flux; beings arise and rerise, with the iterations connected by a physical link. But this is not Buddhist rebirth.
I agree, though, that "transmigration" is not the best term and I should not have used it; my intention was simply to indicate the difference between the two paradigms. Better, perhaps, to have said it like this:
Evolution explains how physical species originate and develop; rebirth refers to a non-lifespan-delineated process of dependent origination. (I owe that formulation to Retrofuturist).