Table 2 Summary of the graph-level metrics for the yearly snapshots of the Austrian pig trade network, 2015–2021.

From: Network analysis of pig movement data as an epidemiological tool: an Austrian case study

 

2015

2016

2017

2018

2019

2020

2021

Number of edges

126,092

119,554

115,602

109,350

105,618

106,917

100,327

Number of nodes

27,938

26,752

25,348

23,860

22,609

22,578

21,667

Number of animals

4,614,349

4,483,219

4,510,794

4,413,947

4,404,170

4,493,835

4,373,382

Number of farms

27,498

26,268

24,909

23,667

22,109

22,163

21,263

Assortativity (degree)

−0.09

−0.09

\(-\)0.08

\(-\)0.09

−0.09

−0.10

−0.09

Assortativity (state)

0.87

0.87

0.86

0.87

0.85

0.84

0.84

Assortativity (district)

0.45

0.45

0.44

0.44

0.43

0.43

0.42

Average shortest path length

10.1

8.8

10.7

7.1

8.0

6.2

6.2

Betweenness centrality

0.01

0.01

0.03

0.01

0.01

0.00

0.01

Diameter

29

27

28

23

22

19

25

Degree (total)

0.01

0.01

0.02

0.02

0.02

0.02

0.02

Degree (in-)

0.01

0.01

0.01

0.03

0.01

0.01

0.01

Degree (out-)

0.03

0.03

0.03

0.03

0.03

0.03

0.03

Edge density

\(5.7 \times 10^{-5}\)

\(5.8 \times 10^{-5}\)

\(6.2 \times 10^{-5}\)

\(6.5 \times 10^{-5}\)

\(6.8 \times 10^{-5}\)

\(6.9 \times 10^{-5}\)

\(7.1 \times 10^{-5}\)

Global CC

\(4.4 \times 10^{-3}\)

\(3.9 \times 10^{-3}\)

\(4.3 \times 10^{-3}\)

\(4.3 \times 10^{-3}\)

\(4.7 \times 10^{-3}\)

\(4.5 \times 10^{-3}\)

\(5.4 \times 10^{-3}\)

Size LSCC (No. nodes)

558

646

964

210

498

127

168

Size LSCC (% of nodes)

2.0%

2.4%

3.8%

0.9%

2.2%

0.6%

0.8%

Size LWCC (No. nodes)

27,144

25,957

24,504

22,966

21,807

21,933

20,904

Size LWCC (% of nodes)

97.2%

97.0%

96.7%

96.2%

96.4%

97.1%

96.5%

  1. CC: clustering coefficient; LSCC: largest strongly connected component; LWCC: largest weakly connected component. Farm: farm-labeled holdings.