gwern comments on Justifiable Erroneous Scientific Pessimism - Less Wrong
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I'm not following your terms here. Obviously the ability to produce lots of children does in fact sop up all the additional production, because that's why per capita incomes on net essentially do not change over thousands of years and instead populations may get bigger. So you can't mean that, but I don't know what you mean.
They innovated faster at some points, arguably. And the innovation such as in farming techniques helped support a higher population - and a poorer population. Malthus would have known this about China, did, and used China as an example of a number of things, for example, the consequences of a subsistence wage which is close to starvation http://en.wikisource.org/wiki/An_Essay_on_the_Principle_of_Population/Chapter_VII :