Well, I have to disagree. If you look at the link below, you’ll see that of the major western nations, the United States has the highest fertility rate, 2.1, which, in the western world, is the bare replacement rate. EVERY OTHER major industrial nation has a lower fertility rate.
cia.gov/library/publications/the-world-factbook/rankorder/2127rank.html
The replacement fertility rate of 2.1 applies mainly to the western world. In geographic locations with higher infant mortality and lower life expectancy (i.e., the third world) the replacement fertility rate is significantly higher. In some places it is as high as 3.3.
It’s true that the world’s population rate is still increasing. However, this is due to “population momentum,” which refers to the percentage of a population that has not yet reached their childbearing years. The higher this percentage, the more time it will take to reach peak population, even though the fertility rate for the population may have dipped below replacement levels.
Western Europe is particularly at risk. The math just isn’t there to support much hope that much of Western European culture will survive past this century.