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Table 1 Definition and sources of the network analysis terms used in this study

From: Dynamic network measures reveal the impact of cattle markets and alpine summering on the risk of epidemic outbreaks in the Swiss cattle population

Type / Name Definition Source
Holding centrality metrics
 In-degree Number of individual sources providing animals to a specific holding [14]
 Out-degree 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]
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