Major topological properties of the empirical MENs of microbial communities under eCO2 and aCO2 and their associated random MENs

CommunityEmpirical networksRandom networksd
No. of original genesaSimilarity threshold (st)Network size (n)br of scale freec (significance)Avg connectivity (avgK)Avg path length (GD)fAvg clustering coefficient (avgCC)Modularity (no. of modules)Avg path length (GD)Avg clustering coefficient (avgCC)Modularity (M)
eCO23710.80245−0.89 (<0.001)7.133.09e0.22e0.44e (18)3.00 ± 0.030.099 ± 0.0090.31 ± 0.01
aCO23230.80184−0.94 (<0.001)3.584.21e0.10e0.65e (16)3.84 ± 0.060.028 ± 0.0070.52 ± 0.01
  • a  The number of genes that were originally used for network construction using the RMT-based approach.

  • b  The number of genes (i.e., nodes) in a network.

  • c  The correlation coefficient (r) of the linear relationship in log[P(k)] ~ −γ log(k), where P(k) is the fraction of connectivity k and γ is a constant.

  • d  The random networks were generated by rewiring all of the links of a MEN with the identical numbers of nodes and links to the corresponding empirical MEN.

  • e Significant difference (P < 0.001) between aCO2 and eCO2.

  • f GD, geodesic distance.