PhytoFarm techniques could feed a hundred times the world's present population - say 500 billion people - with factory buildings a hundred stories high, on one percent of present farmland. To put it differently, if you raise your bed to triple bunk-bed height, you can grow enough food on the two levels between the floor and your bed to supply your nutritional needs. [...]
Only two hundred years ago, half of the diet of Sauk and Mesquakie Native Americans came from hunting, and "It took 7,000 acres to support one human." Phytofarm's one acre, which supports 500 or 1,000 people, represents an increase in productivity per acre a million times over compared with the Native Americans. [...]
Nor is this any "ultimate" limit. Rather, these gains are just the result of research over the past few decades [...] It is likely that before the world gets to 500 billion people, or even to 10 billion, the maximum output per acre will be increased much beyond what PhytoFarm achieves now.
Birth rates are falling rapidly in the developed world, and they'd be a lot more spaced out if we had bodies like 30-years old for a long time. More than enough time for technology to increase out productivity to support these people.