Power Line's Steve Hayward posts a chart from Statista which portrays the birth rate in each of the world's countries. Given the scale, some are sort of difficult to suss out.
The birth rate necessary to keep national population constant is 2.1 per woman. Much of the world - shown in pink or red - is below that level.
The four areas with the lowest birth rates (shown in red) appear to be South Korea, Hong Kong, Palau and Puerto Rico, but I am guessing on all but South Korea.