Before revision:  Finally, we model a system that maintains integrated information when interacting with a range of different environments by generating a critical surface spanning a parametric region of the environment. We conclude by discussing how thinking about integrated information in the thermodynamic limit opens fruitful research avenues for studying URLanization of biological  and cognitive systems.
After revision:  Finally, we model a system that maintains integrated information when interacting with a range of different environments by generating a critical surface where its integrity is preserved. We argue that the exploration of integrated information for these limit cases helps in addressing a variety of poorly understood questions about URLanization of biological and cognitive systems.