Figure 1:

Figure 2:

Figure 3:

Figure 4:

Figure 5:

Top 10 companies with lowest constraint_
| Name | Constraint | Component color |
|---|---|---|
| China Communications Construction Company Ltd (CCCC) | 0.162 | Red |
| Shenzhen Ocean Shipping Co Ltd (COSCO SHENZHEN) | 0.275 | Blue |
| CCCC Tianjin Dredging Co Ltd | 0.309 | Red |
| China Huaneng Group Co Ltd | 0.321 | Blue |
| China COSCO Shipping Corp Ltd | 0.328 | Blue |
| CCCC Shanghai Dredging Co Ltd | 0.331 | Red |
| COSCO Shipping Seafarer Mgmt | 0.355 | Blue |
| Tianjin Cosbulk Ship Mgmt | 0.361 | Blue |
| ICBC Financial Leasing Co Ltd | 0.367 | Blue |
| COSCO Bulk Carrier Co Ltd (COSCO BULK) | 0.368 | Blue |
Relationship codebook_
| Relationship | Type | Definition |
|---|---|---|
| Ship co-location | One-mode | For each month, a ship-to-ship network was created by determining whether the ships were co-located within 3 km of each other at the same time based on route trajectories (excluding major ports) |
| Ship at location | Two-mode | A ship was considered to be arriving at a port or island if it broadcast an AIS location within a certain distance threshold (five nautical miles). If a ship’s location was determined to be within the threshold for multiple ports, the closest port was considered its destination |
| Ship to company | Two-mode | A ship was tied to a company when a company was listed as the ship’s owner, operator, document compliance company, manager, or technical manager |
| Company to company | One-mode | A subsidiary company was tied to its parent company |
Top 10 hubs and authorities_
| Top 10 hubs | Hub score | Top 10 authorities | Authority score |
|---|---|---|---|
| Fiery Cross Reef | 1.000 | Mischief Reef | 1.000 |
| Johnson Reef South | 0.698 | Fiery Cross Reef | 0.682 |
| Mischief Reef | 0.683 | Subi Reef | 0.567 |
| Subi Reef | 0.660 | Johnson Reef South | 0.513 |
| Hughes Reef | 0.406 | Gaven Reef | 0.380 |
| Gaven Reef | 0.366 | Hughes Reef | 0.369 |
| Sanya (Port) | 0.352 | Sanya (Port) | 0.289 |
| Second Thomas Reef | 0.346 | Cuarteron Reef | 0.219 |
| Cuarteron Reef | 0.190 | Second Thomas Reef | 0.164 |
| Basuo (Port) | 0.128 | Basuo (Port) | 0.102 |
Temporal network level metrics_
| Time | Period | Size | Edges | Average degree | Average clustering coefficient | Degree centralization | Betweenness centralization |
|---|---|---|---|---|---|---|---|
| T0 | November 2014 | 34 | 41 | 2.412 | 0.422 | 0.103 | 0.013 |
| T1 | December 2014 | 24 | 36 | 3.000 | 0.561 | 0.159 | 0.043 |
| T2 | January 2015 | 36 | 107 | 5.944 | 0.578 | 0.133 | 0.035 |
| T3 | February 2015 | 48 | 201 | 8.375 | 0.708 | 0.181 | 0.072 |
| T4 | March 2015 | 75 | 469 | 12.507 | 0.691 | 0.154 | 0.032 |
| T5 | April 2015 | 82 | 781 | 19.049 | 0.711 | 0.206 | 0.048 |
| T6 | May 2015 | 99 | 898 | 18.141 | 0.657 | 0.138 | 0.026 |
| T8 | June 2015 | 122 | 1,451 | 23.787 | 0.698 | 0.168 | 0.042 |
| T9 | July 2015 | 124 | 1,087 | 17.532 | 0.661 | 0.174 | 0.044 |
| T10 | August 2015 | 97 | 768 | 15.835 | 0.687 | 0.143 | 0.051 |
| T11 | September 2015 | 90 | 845 | 18.778 | 0.729 | 0.183 | 0.035 |
| T12 | October 2015 | 70 | 694 | 19.829 | 0.730 | 0.178 | 0.023 |
| T13 | November 2015 | 67 | 464 | 13.851 | 0.614 | 0.163 | 0.036 |
| T14 | December 2015 | 62 | 400 | 12.903 | 0.694 | 0.151 | 0.053 |
| T15 | January 2016 | 68 | 402 | 11.824 | 0.700 | 0.153 | 0.033 |
| T16 | February 2016 | 53 | 318 | 12.000 | 0.677 | 0.206 | 0.023 |
| T17 | March 2016 | 39 | 153 | 7.846 | 0.653 | 0.205 | 0.067 |