Computation of a proxy of the flow of a perturbation across a
network: the eigenvector centrality
The more connected a taxon is to the rest of the network, the more a
perturbation affecting that taxon is likely to spread across the whole
network (Dunne et al. 2002; Delmas et al. 2019). To
quantify the degree to which a taxon is connected to other highly
connected species, we used the eigenvector centrality metric, which is
akin to a simulation of flow across a network (Bonacich 1987; Delmaset al. 2019). Taxa heavily connected to other highly connected
taxa hence get higher scores of eigenvector centrality. Finally, to
investigate whether there is a pattern of sensitivity and centrality
across trophic pathways (pelagic for the lowest values of δ13C and
benthic for the highest values) and trophic levels, a linear regression
between sensitivity or eigenvector centrality and corrected values of
δ13C or δ15N was realised (Fig. S1).