A country with a 3-4% growth rate is doubling its population about every 20 years. For that country's carbon footprint to just remain stable, they will have to

A country with a 3-4% growth rate is doubling its population about every 20 years. For that country's carbon footprint to just remain stable, they will have to halve the amount of carbon emissions per person every 20 years. This means that these countries will need to completely replace their infrastructure with technology and processes that are twice as efficient every 20 years, just to keep their carbon emissions stable. I just don't see any way for technology and infrastructure to outpace population growth that fast. Most realistically with population growth this high, there is probably going to be an explosion of carbon emissions regardless of how much green technology is rolled out in parallel.