Edit: changed world-wife (which sounds interesting demographically) to world-wide
Large cities are inherently inimical to living in large families. And yes, it was apparently the case even in the Roman Empire.
You can even see mild recovery when de-densification happens. It's very interesting to compare the fertility rate in Denmark and Netherlands:
https://www.macrotrends.net/datasets/global-metrics/countrie...
https://www.macrotrends.net/datasets/global-metrics/countrie...
You can see the dip and a recovery in Denmark and essentially no recovery in Netherlands (until post 2000, but that was due to immigration). Why?
Here's the answer:
https://www.macrotrends.net/datasets/global-metrics/cities/2...
https://www.macrotrends.net/global-metrics/cities/21930/amst...
Denmark de-densified its cities during the late 70-s (that's why Copenhagen is the world's most liveable city, btw).