I don't understand, is your reasoning that South Korea should become a poor country?
Yes poor people have more babies, but those poor people are becoming a smaller set in South Korea. You now need to analyze why, specifically, SK's (and many other country's) middle class aren't having children.
umm no, im saying your argument that the reason people dont have kids is because they cant afford them is exactly wrong. The number of children people have is perfectly inversely correlated by how wealthy they are, and many of the countries with the best socialized child care and other government programs to help poor people (northern europe) have some of the lowest birth rates in the world.