TFian,
I have written on the JREF Forum a few times about population. Here are the key points, pulled from several past posts.
Women are responding to the recent drop in death rates by lowering their birth rates. There is less reason to have large numbers of kids if parents reasonably expect their kids to survive to adulthood. Two or three kids are now all that is needed in most places to reach the goal of having grandchildren.
This is where we see effects of public health measures, such as clean water, vaccines and antibiotics, better medical and sanitation techniques, etcetera.
Also, when women have other choices in life, in addition to having children, they tend to have fewer kids than they would without freedom and equality. One liberating technology is birth control, while a more positive social environment gives women higher social status as individual human beings (and not the old kind of status built on having children).
The U.N. makes three estimates for 2050: low, medium, and high. In 2008, they updated their forecast to 8 billion in 2050 as the low estimate, 9.1 billion as the medium variant (and most likely outcome), and 10.5 billion as the high estimate.
The difference between low and medium is half a child per woman, as is the difference between medium and high. That's a tiny change in trajectory, with significant results over time.
See Page 4, Paragraph 2 of this PDF for details on how estimates can shift as new data comes in:
http://www.un.org/esa/population/publications/wpp2008/pressrelease.pdf
These world population forecasts are down compared to previous decades' forecasts. The same is true for the real, measured fertility rates. "Ever since 1968, when the United Nations Population Division predicted that the world population, now 6.3 billion, would grow to at least 12 billion by 2050, the agency has regularly revised its estimates downward. Now it expects population to plateau at nine billion."
"The real missing billions are the babies who were simply never conceived. They weren't conceived because their would-be elder brothers and sisters survived, or because women's lives improved."
"As late as 1970, the world's median fertility level was 5.4 births per woman; in 2000, it was 2.9. Barring war, famine, epidemic or disaster, a country needs a birthrate of 2.1 children per woman to hold steady."
Originally here:
http://www.nytimes.com/2004/08/29/weekinreview/29mcne.html?pagewanted=all
Someone archived the article here:
http://www.mail-archive.com/ugandanet@kym.net/msg15493.html
The global "Total Fertility per Woman" in 1970-1975, was 4.5 children. In 2000-2005 it was 2.6. This statistic and country-specific details, broken down by age group can be found in this PDF:
http://www.un.org/esa/population/publications/worldfertility2007/Fertility_2007_table.pdf
Charts comparing these two time periods are available on the other side of the poster:
http://www.un.org/esa/population/publications/worldfertility2007/Fertility_2007_reverse.pdf
We still have a long way to go before population stabilization. But we are getting there.