Holding centrality metrics

Indegree

Number of individual sources providing animals to a specific holding

[14]

Outdegree

Number of individual recipients obtaining animals from a specific holding

[14]

Betweenness

The frequency a livestock operation is in the shortest path between pairs of holdings in the network

[47]

Closeness

The inverse of the sum of the shortest geodesic distances from a source holding to all other reachable holdings in the network

[48]

Static network measures of connectivity

Geodesic

The shortest path length between two holdings

[49]

Path length

A path between farm A and farm C is the number of steps required to travel from A to C. In a path, holdings and animal transports cannot be repeated between a source and a destination. Related terms are geodesic and average path length

[49]

Average path length (APL)

The shortest path, or geodesic, among two holdings averaged over all pairs of holdings in the network

[50]

Density

Sum of the number of all links divided by the number of possible links in the network

[14]

Clustering coefficient (CC)

If a neighbour is defined as a the holding in direct contact with the holding of interest, the clustering coefficient represents the proportion of one’s neighbours who are also neighbours of one another

[50]

Components

Maximally connected subregions of a network in which all pairs of holdings are directly or indirectly linked

[46]

Giant strongly connected component (GSCC)

The largest component in the network in which all pairs of holdings are linked via directed paths

[43, 46]

Giant weakly connected component (GWCC)

The largest component in the network in which all pairs of holdings are linked regardless of the direction of the link

[43, 46]

Assortativity

Correlation between the degrees of linked premises

[51]
