http://www.desdemonadespair.net/search/ ... %20failure
I highlight this paragraph:
This graph makes it clear that arable land per capita is monotonically decreasing. The decline isn’t linear; in fact, it’s almost perfectly exponential, with R2 = 0.996 for the default Excel curve fit. Currently, the world has 0.2 hectares (0.49 acres) of arable land per person, down from 0.4 in 1962. Extrapolating the exponential curve, we’ll be down to 0.1 by around 2050, and 0.05 by 2100. So, every 50 years, arable land per capita declines by half. By the year 2100, each person will be supported by just 0.05 hectares (0.12 acres) of agricultural land.