Low birth rates also correlate with a tendency to see women and men competing against each other, instead of complementing their roles. Where women acquired male roles, birth rates drop. You can observe this behavior both between and within countries.
> women and men competing against each other, instead of complementing their roles
How is this not sexist? You're saying that men and women have specific pre-defined roles in society (which you are defining). That's sexism at it's core, and leads to people saying that women should stay at home and men should go to work.