What comes to mind for me is the 1960-early 70s Club of Rome study, the "Limits of Growth" with its' simple collection of differential equations that predicted the fall of civilization within twenty years.
The only escape was to actively decrease population by a significant fraction. Yeah right, to make it to the 1990s we'd have to eliminate one person in two. See how well that worked out...
Regards,
GtG
Globull warming just might beat them all at the end of the day.