Table 2.

Network-level parameters calculated for contact, proximity and contact-and-proximity networks of the first 10 days of the 2007 equine influenza outbreak in Australia.

Parameter	Contact network	Proximity network		Contact-and-proximity network
		5 kma	15.3 kmb	5 kma	15.3 kmb
Network size
Number of nodes	197	197	197	197	197
Number of directed links	70	852	2518	921	2586
Number of isolates	127	54	24	19	0
Average path length	1.80	1.63	1.45	2.22	1.92
Network diameter	3	4	4	6	6
Network centralisation
Betweenness centralisation	0.002	0.005	0.004	0.008	0.015
In-degree centralisation	0.01	0.07	0.20	0.07	0.19
Out-degree centralisation	0.17	0.07	0.20	0.15	0.19
CV of total degree	2.51	–	–	–	–
Effective reproduction ratioc	14.6	–	–	–	–
Network cohesion
Density	0.002	0.022	0.065	0.024	0.067
Clustering coefficient	0.000	0.902	0.906	0.861	0.882
Network substructures
Number of components	1	28	20	6	1
Size of largest component (number of nodes)	70	28	58	167	197
Number of cutpoints	7	6	6	22	19

CV = coefficient of variation.

^aDistance cut-off dichotomised at 5 km based on empirical research Firestone et al. (2011).

^b‘Maximal network’ with distance cut-off of 15.3 km, all nodes are incorporated into the largest weak component.

^cBased on estimate of herd-level R ≈ 2.0 from Cowled et al. (2009).