Before revision:   We find that, in the presence of environmental fluctuations, the cooperation dynamics yields the creation of network components with distinct evolutionary properties.
After revision:  Considering complex network topologies, and a behavioral rule based on generalized reciprocity, we perform a detailed analysis of the effect of the underlying interaction structure on the evolutionary stability of cooperation. We find that, in the presence of environmental fluctuations, the cooperation dynamics yields the creation of network components with distinct evolutionary properties.