@Sheril @staustellsimon @bosquebill
I believe it was popularized by The Population Bomb (1968)[1].
The reasoning seemed to go something like:
"The most recent population doubling period was shorter than the previous, so growth is super-exponential. The most recent doubling period was shorter than an average human lifespan, so over half the people who ever lived are alive today."
Forgive me if I am mischaracterizing it. It was at least 35 years ago that I read it in high school, but it seemed like a rather questionable conclusion at the time.