Fig. 4.

Effects of network structural properties and epidemiological parameters (ρ, ι, and τ) on outbreak magnitude measures for both the experiments on random and real-world networks. The area of squares represents the absolute value of canonical loadings, which represent the relative importance of independent variables in determining outbreak magnitude (see Methods), with white and black squares indicating, respectively, positive and negative values. For simulated networks we report both results for all aggregated networks, and the results for the different kinds of networks. Since in both simulated and real-world networks the amount of variance in the set of dependent variables explained by that of independent variables was consistent in the first dimension, but not in the second one (see Table 1), we focus here on the loadings of the first canonical dimension. The graph was generated using the table.value function from the R package adegraphics (Dray and Siberchicot, 2017). Conn: network connectance; SR: spectral radius; Diam: network diameter; Clust: network clustering; R: network robustness; τ: pathogen's transmission rate; ρ: duration of infection (i.e., survival time of the pathogen in the host); ι: pathogen's immunization effect on hosts over repeated infections.