Compare it on the small scale first and then project into the large. When you have different bacteria stems and limited resources, then they'll fight for it wi

Compare it on the small scale first and then project into the large. When you have different bacteria stems and limited resources, then they'll fight for it with weapons (their antibiotics). Bacteria stem that is fast enough to use up resources will survive, while the slow ones will go extinct. If, now, you think of humanity as different bacteria stems, it will be the same. A few human stems have resources and access to it, other dont. That corresponds to economy (or to countries with economy) for resource production. So, "if the grow rate exceeds natural evolution" - first, it needs to be analysed what that means. In Europe, Japan, actually everywhere in the rich western world, the birth rates of woman go down. In poor countries, the kids are mostly birthed as a security for later years or for getting the work done. So, there's your answer. The rich world with resources will keep the resources closed and inaccessible as the bacteria also do. The poor world will produce even more kids that can't be fed solely by the poor countries resources and go extinct by used up resources, or they use their weapons to get resources of others, which of course will use their weapons. We'll see a lot of migration until the times the borders close. After that time wars for resources will start and will become even worse as the resources decline. You can't talk about rapid growth of knowledge, technology or economics, without taking into account, that the growth is happening unequal in pace and amount through different parts of the world. We still haven't realized that concurrency is the problem. And the economy as we know it today is even more a problem. But, don't ask me please. I don't have an answer or solutions to that problems. At least, none acceptable ones. Prepare, it'll start in a few decades, when the earth don't have nutrients anymore, the clear water is not clear and the droughts have made yields go down.