Well it doesn't matter before puberty, and access to long-term contraceptives like "the pill," depo-privera, diaphragms, IUDs, etc. starting at puberty can create the same effect of defaulting to no pregnancies (or at least extremely unlikely).
I would also like to emphasize the importance of accurate, timely sex education so kids learn how their bodies work and what their options are. The combination of contraceptives + education has had a dramatic effect in Colorado on teen pregnancies.
And although it's less of an issue in the U.S. and Europe, legal equality for women (right to own property, conduct a business, drive cars, hold political office, etc.) frees them from dependency on a husband.
Even the basics help: marital rape is not yet a crime in every country today. In fact it wasn't a crime in all 50 states until 1993!
My point here is that we don't need to imagine some sort of draconian program like universal reversible sterilization at birth. All we need to do is promote and make progress with the tools we already have. That can be just as effective, AND more moral as well.