What if the singularity is not centered on intelligence but instead on population

I attending Verner Vinge's lecture at URI on Tuesday night. He talked mostly about the art and mechanics of writing science fiction and a little about the "singularity." Like Ray Kurzweil, he sees the singularity as the appearance of super-human intelligence. He is a little more open, it seems to me, as to whether this is embodied within humans or wholly non-human. (As a side note, I like Jessie Schell's definition where the singularity is the point at which the future is unpredictable because the future changes come, to human perception, instantaneously.) My question to Vinge was
"What if the singularity is not centered on intelligence but instead on population. Nano beings that's population grows (near instantaneously) to consume all the planets resources."
Unfortunately, it was not one picked by the moderator and so I will have to answer this myself.