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Statistics of correlated percolation in a bacterial community

Fig 4

Spatial correlations increase connectivity but have little effect on cluster size distribution.

(A) Connectivity, defined as probability that a connected path of on-cells exists, occurs at lower on-cell fraction ϕ as correlation parameter ρdiv increases (N = 103 lattices). (B) Connectivity threshold , defined as ϕ value for which connectivity is 50%, decreases with ρdiv (N = 103 lattices). (C) Spatial correlations (ρdiv = 0.38) have little effect on distribution, in particular not removing exponential rolloff at large n (N = 103 lattices).

Fig 4