Example:
> In a 1994 study titled Food, Land, Population and the U.S. Economy, David Pimentel and Mario Giampietro estimated the maximum U.S. population for a sustainable economy at 200 million
The dangers of over-population myth assumes a naive view of a static society. For instance, we can reasonably have X land for food production, from that we can grow Y food and that can feed Z people so anything above Z would be harmful. The problem is that Y is dependent on human innovation and technology. Same can be said for most resources. We never did reach peak oil.
These predictions of inevitable decline have been wrong for a long time. I don't know why you put so much faith into the modern day equivalents.