This material was posted in another forum. I thought it might be handy to have here as well. They represent an attempt to quantify carrying capacity.
THE LIVING PLANET REPORT 2002 and SUSTAINABLE POPULATIONS BY COUNTRY
Notes and explanation of spreadsheet
Question & Answer series
Snip..
Question 28: Well, I think I now have eco-footprinting just about wrapped up. My overview of the world scene is this. If we maintain our present level of per capita carbon dioxide emissions, population needs to be about 2 billion in order to stabilize the concentration of carbon dioxide in the atmosphere. Eco-footprinting indicates that we need about that level of population in order that all should be able to live sustainably and enjoy an acceptable lifestyle.
Answer: Your summary is absolutely correct.
{URL visibility touch up; EE}