I don't think it's just anecdotal, some data suggests this is happening. The book 'Empty Planet: The Shock of Global Population Decline' talks about this. The only place in the world with high total fertility rate is now subsaharan Africa, even countries you might think have a lot of children don't really anymore. China is well known to have a low TFR now, but even India appears to have reached replacement level, although something called population momentum will mean population continues to increase for a couple more decades, and then decline.