How does Cultural Coexistence Theory fit with other theories for sustainability?

How does cultural coexistence theory complement existing theoretical frameworks in the world of sustainability science, specifically Elinor Ostrom's Social Ecological Systems (SES) Framework? A true science of sustainability must be able to explain periods of stability in complex human-natural systems; what CCT aims to do is just that: explain how competing groups of people in a shared resource setting come to coexist stably over time, as opposed to a scenario where one or more groups is pushed out because of some disadvantage.