Table 1 US migration network characteristics
| Â | Nodes | Edges | Average degree | Avrg weighted degree | Diameter | Average path length | Clustering coefficient | Modularity | Assortativity |
|---|---|---|---|---|---|---|---|---|---|
County level | |||||||||
 Δt = 1 year (16 networks) | |||||||||
  Average | 2.9 × 103 | 5.7 × 104 | 19.3 | 5 × 103 | 9.4 | 3.5 | 0.5 | 0.7 | 0.26 |
  Variance | 3.8 × 103 | 6.2 × 107 | 5.5 | 1.6 × 105 | 0.9 | 1.5 × 10−2 | 3.7 × 10−4 | 1.2 × 10−4 | 9.9 × 10−5 |
 Δt = 2 years (8 networks) | |||||||||
  Average | 3 × 103 | 6.6 × 104 | 22.2 | 1 × 104 | 8.8 | 3.4 | 0.5 | 0.7 | 0.26 |
  Variance | 2.5 × 103 | 5.7 × 107 | 5 | 2.2 × 105 | 0.7 | 3.7 × 10−2 | 2.2 × 10−4 | 8.7 × 10−5 | 4.9 × 10−5 |
 Δt = 4 years (4 networks) | |||||||||
  Average | 3 × 103 | 7.7 × 104 | 25.5 | 2 × 104 | 8 | 3.2 | 0.6 | 0.7 | 0.26 |
  Variance | 5.3 × 102 | 2.5 × 107 | 2.2 | 1.3 × 105 | 0 | 1.8 × 10−3 | 9.4 × 10−5 | 1.8 × 10−3 | 7.4 × 10−5 |
 Δt = 16 years (1 network) | |||||||||
  Average | 3 × 103 | 10 × 104 | 33.386 | 8 × 104 | 8 | 3 | 0.6 | 0.7 | 0.26 |
  Variance | – | – | – | – | – | – | – | – | – |
State level | |||||||||
 Δt = 1 year (16 networks) | |||||||||
  Average | 51 | 1.7 × 103 | 34.4 | 2.9 × 105 | 2.7 | 1.3 | 0.8 | 0.3 | 0.8 |
  Variance | 0 | 1.4 × 104 | 5.4 | 6.5 × 108 | 0.2 | 2.2 × 10−3 | 2 × 10−4 | 2.7 × 10−4 | 1.4 × 10−3 |
 Δt = 2 years (8 networks) | |||||||||
  Average | 51 | 1.8 × 103 | 36.6 | 5.9 × 105 | 2.2 | 1.3 | 0.8 | 0.3 | 0.9 |
  Variance | 0 | 7.8 × 103 | 3 | 1 × 109 | 0.2 | 1.2 × 10−3 | 1.4 × 10−4 | 3.7 × 10−4 | 6.5 × 10−4 |
 Δt = 4 years (4 networks) | |||||||||
  Average | 51 | 1.9 × 103 | 38.6 | 1.2 × 106 | 2 | 1.2 | 0.8 | 0.3 | 0.9 |
  Variance | 0 | 1.5 × 103 | 0.6 | 3.3 × 108 | 0 | 2.4 × 10−4 | 5.8 × 10−5 | 3 × 10−4 | 1.8 × 10−4 |
 Δt = 16 years (1 network) | |||||||||
  Average | 51 | 2.2 × 103 | 42.3 | 4.7 × 106 | 2 | 1.2 | 0.9 | 0.3 | 0.9 |
  Variance | – | – | – | – | – | – | – | – | – |