Table 2. Correlations between network topological and spectral properties.

ρ(x,y)	x	y	P value
≈0.760	S	rIPR[v1]	<10−4
≈0.754	S	rIPR[u1]	<10−4
≈0.800	S	rIPR[wH]	<10−4
≈−0.662	C	rIPR[v1]	<10−4
≈−0.754	C	rIPR[u1]	<10−4
≈−0.749	C	rIPR[wH]	<10−4
≈−0.769	S		<10−4
≈0.806	C		<10−4
≈−0.477	λ1		<10−4
≈0.578	λ1	rIPR[v1]	<10−4
≈0.390	λ1	rIPR[u1]	<10−4
≈0.468	λ1	rIPR[wH]	<10−4
≈0.460	σs2	rIPR[u1]	<10−4
≈0.535	σs2	rIPR[v1]	<10−4
≈0.45	Degree [k]	v1	<10−4
≈0.46	Strength [s]	v1	<10−4
≈0.67	Degree [k]	u1	<10−4
≈0.61	Strength [s]	u1	<10−4
≈076	Page rank	v1	<10−4
≈0.94	Eig. centrality	v1	<10−4

Correlations ρ(x,y) measured using Spearman Rank Test (parametrization δ=0.5) using Holling Type I model with a=40 and b=0.05). rIPR refers to null model 1. v1, u1 and wH are the right, the left and the reactive eigenvectors, respectively. k and s denote the network degree and strength vectors.