What is the difference between Population I and Population II stars? In what sense can the stars of one population be regarded as the "children" of the other population?

The Population I and Population II stars are differentiated based on their age, metal content, and location within a galaxy. Population I stars are younger, metal-rich, and found in the disk of a galaxy, while Population II stars are older, metal-poor, and found primarily in the halo of a galaxy. The process of stellar evolution connects the two populations. Population II stars, formed from the primordial gas that contained lower amounts of heavier elements, "gave birth" to Population I stars upon reaching the end of their life cycles and ejecting their heavier elements into space. This metal-enriched gas led to the condensation and formation of Population I stars. Hence, Population I stars are the "children" of Population II stars, inheriting their metal content and being typically found in areas where star formation is more active.