Are cultural complexity and biodiversity complexity in a zero sum competition?

It seems that any global system level transformation needs to start with the broadest framing of the problem. One frame or mental model would be a competition between human society and the biosphere in which one is growing in complexity or information and the other is decreasing in complexity or biodiversity. If we take that as a given, then the question of transformation is one of moving from a competitive interaction between two systems to a mutualistic (or even synergistic) interaction. Key then is identifying broad feedbacks that keep the system the way it is (competitive, often exploitive), and then finding the co-benefits of changing those feedback loops. For example, the explosion of cultural diversity depends on a flux of energy from fossil fuels. Shifting to a more sustainable energy source would reduce the dominance of one system over the other and have significant co-benefits in terms of air pollution, human health, and climate change.