Supporting Information: Additional Results Table S1. Results from multiple regressions on distance matricesfor all sub-networks. “Nested (same module)” means that only host species pairs belonging to the same module were included for analysis; “Nested (natives in same module)” means that only native host species pairs belonging to the same module were included. “Modularity” in this context means the chance of a host pair belonging to the same network module. Shown are the standardized partial regression coefficients and the associated P-values. Network Response variable Nestedness Modularity Endoparasites Nestedness (same module) Nestedness (natives in the same module) Nestedness Modularity Ectoparasites Nestedness (same module) Nestedness (natives in the same module) Nestedness Single-host life cycle Modularity Effect Abundance Biomass Body length Sampling effort Taxonomic distance Abundance Biomass Body length Sampling effort Taxonomic distance Abundance Biomass Body length Sampling effort Taxonomic distance Abundance Biomass Body length Sampling effort Taxonomic distance Abundance Biomass Body length Sampling effort Taxonomic distance Abundance Biomass Body length Sampling effort Taxonomic distance Abundance Biomass Body length Sampling effort Taxonomic distance Abundance Biomass Body length Sampling effort Taxonomic distance Abundance Biomass Body length Sampling effort Taxonomic distance Abundance Biomass Body length Coefficient -0.65 -0.14 -0.72 -0.01 -1.72 0.11 -0.24 0.10 -0.05 -0.49 3.90 0.32 -4.91 0.17 -1.15 13.21 4.67 -3.49 -5.20 4.60 2.05 -1.53 0.74 0.33 -3.89 -0.65 0.16 -0.08 -0.14 -1.16 -64.04 3.96 -2.46 56.25 18.56 -54.51 0.47 5.39 53.29 19.19 1.65 -1.04 0.54 -0.10 -3.42 0.43 -0.16 0.02 p 0.223 0.795 0.096 0.985 <0.001 0.536 0.166 0.419 0.766 <0.001 0.402 0.942 0.185 0.964 0.754 0.014 0.368 0.497 0.369 0.353 0.197 0.343 0.435 0.647 <0.001 0.337 0.795 0.865 0.755 0.007 0.067 0.849 0.895 0.037 0.042 0.379 0.976 0.873 0.135 0.050 0.176 0.412 0.462 0.864 <0.001 0.456 0.773 0.958 Nestedness (same module) Nestedness (natives in the same module) Nestedness Modularity Multiple-host life cycle Nestedness (same module) Nestedness (natives in the same module) Nestedness Native fish Modularity Nestedness Non-native fish Modularity Nestedness (same module) Sampling effort Taxonomic distance Abundance Biomass Body length Sampling effort Taxonomic distance Abundance Biomass Body length Sampling effort Taxonomic distance Abundance Biomass Body length Sampling effort Taxonomic distance Abundance Biomass Body length Sampling effort Taxonomic distance Abundance Biomass Body length Sampling effort Taxonomic distance Abundance Biomass Body length Sampling effort Taxonomic distance Abundance Biomass Body length Sampling effort Taxonomic distance Abundance Biomass Body length Sampling effort Taxonomic distance Abundance Biomass Body length Sampling effort Taxonomic distance Abundance Biomass Body length Sampling effort Taxonomic distance Abundance Biomass Body length Sampling effort Taxonomic distance 0.29 -1.38 -3.01 11.60 8.81 7.52 0.82 9.05 4.39 10.23 -8.69 9.64 -0.77 0.11 -0.59 0.07 -1.91 0.20 -0.21 0.12 -0.04 -0.45 4.07 -1.44 -5.26 1.36 -2.28 13.88 5.83 -3.78 -5.94 3.31 0.86 -0.75 -0.88 -0.75 -2.15 -0.15 0.06 -0.15 0.15 -0.40 -2.91 2.77 1.19 -0.79 -2.48 -1.07 1.49 -0.17 -0.19 -0.66 -13.62 14.00 -5.26 12.59 -27.30 0.475 0.002 0.902 0.646 0.566 0.557 0.934 0.940 0.972 0.938 0.765 0.840 0.159 0.838 0.172 0.866 <0.001 0.244 0.200 0.310 0.808 <0.001 0.410 0.770 0.130 0.709 0.507 0.014 0.271 0.440 0.332 0.511 0.235 0.223 0.137 0.209 <0.001 0.575 0.807 0.417 0.567 0.014 0.410 0.445 0.244 0.491 0.005 0.427 0.307 0.690 0.645 0.106 0.852 0.860 0.752 0.749 0.009 Fig. S1: Matrices of interactions between fishes (rows) and parasites (columns). The occurrence of an interaction is marked as a dot. Hosts and parasites were ordered by decreasing number of interactions. (a) entire network composed by 72 fish species and 324 parasites; (b) sub-network containing only endoparasites and their interacting hosts; (c) sub-network containing only ectoparasites; (d) sub-network containing only parasiteswith multiple-host life cycles; (e) sub-network containing only parasites with single-host life cycles; (f) sub-network containing only native hosts; (g) sub-network containing only non-native hosts.