| dtewi said: Well, we're approaching zero population growth. Basically, in a few generations, the population should be rapidly stagnating. |
Whilst this is true for some parts of the world the population still continues to grow for most of it. In a study of 195 countries the population growth was only below zero for 18 countries (source). For much of Europe the population will stagnate, places like Germany and eastern Europe can expect to see their population decline, but some place will expect huge leaps in population by 2050 such as the USA (+100m) and India (+200-300m) (for source see OP).
As for population predictions we can tell that it is beginning to stagnate as you say (Figure 1.). It just depends if it stagnates in the right way, does the population rapidly decline in some areas (like Europe) and continue to grow others (like India) effectively cancelling each other out. I don't know what the answer to that would be though.

Fig 1. World population prediction to 2050 (Source)







