I accounted for that. The cause of population growth at this point is increased lifespans, not birth rates. And birth rates demonstrably drop as income rises an

I accounted for that. The cause of population growth at this point is increased lifespans, not birth rates. And birth rates demonstrably drop as income rises and child mortality rates fall. This pattern has happened in other countries that climbed from poverty to wealth (including most of Europe), and there's no reason to believe Africa will be any different. Get clean water and vaccinations, and the mortality rate drops. Get educations for young girls so they are literate as adults, and the birth rate drops. It's as simple as that.