First, remember that numbers like “carrying capacity” are inherently unreliable. They are premised on the assumption that society, technology, and the general state of the world will remain unchanged far into the future. We don’t know very much, but we do know that none of those assumptions are valid. Technology in particular is constantly changing.
Second, it’s important to know about the Demographic Transition. Every industrialized society we know about has gone through an initial period of explosive population growth (as the death rate plummets due to improved living conditions, but the birth rate stays the same) followed by a very dramatic fall in the birth rate.
Indeed, the birth rate has plummeted so much in many of these industrialized countries that it has fallen below the replacement rate. Places like Japan and Italy, for example, will see a fall in population in the next 50 years, unless there is substantial immigration.
This is one of the major reasons why UN estimates of the world population in 2050 have fallen in the last few years, from 9.4 billion to 8.9 billion. (The other major reason, sadly, is AIDS.)
http://cnews.canoe.ca/CNEWS/World/2003/02/26/32867-ap.html
Since the Demographic Transition appears to apply to all industrialized countries, regardless of geographic location or national ideology, and since more countries industrialize with each passing decade, it’s quite likely that the world population in the 22nd century will be shrinking, not growing.
Last, there’s already a mechanism in place to let you know what resources are in scarce supply–prices. If the people whose business it is to know about these things become convinced that we’re in imminent danger of running out of fossil fuels, for example, you won’t need to pass some conservation program to get people to use less oil. Instead, you’ll see a substantial and permanent increase in the price of fossil fuels. This price increase will automatically encourage people to use less fossil fuel, and switch to other forms of energy.