I can provide some commentary, which is that in the U.S. the way it works is more based on residential ties after your 14th birthday.
The specifics are basically that, if you have lived in the U.S. for a certain period of time and then you happen to have a child born outside of the U.S., that child would be a U.S. citizen. You just have to make an application to prove that's the case, and part of the application would be the equivalent of a U.S. citizenship certificate.