## 4 Key Lines' Identification of Subway Network
### Experimental Result Analysis
#### 4.3.1 Global Influence Analysis
\begin{table}
\begin{tabular}{c c c c c c c c c} \hline \hline \multirow{2}{*}{**Deleted Lines**} & \multicolumn{2}{c}{**Clustering Coefficient**} & \multicolumn{2}{c}{**Path Length**} & \multicolumn{2}{c}{**Connectivity**} & \multicolumn{2}{c}{**Network Efficiency**} \\ \cline{2-9}  & **Space L** & **Space P** & & & & & & \\  & **(Unit:10\({}^{3}\))** & **(Unit:10)** & **Space L** & **Space P** & **Space L** & **Space P** & **Space L** & **Space P** \\ \hline None (entire network) & 2.002 & 9.172 & 16.632 & 2.652 & 0.3776 & 0.6214 & 0.261 & 0.446 \\ Batong Line & 2.0704 & 9.1762 & 16.401 & 2.608 & 0.3781 & 0.6511 & 0.2652 & 0.4556 \\ Changping Line & 2.064 & 9.1704 & 16.416 & 2.602 & 0.378 & 0.6506 & 0.2609 & 0.4537 \\ Daxing International Airport Express & 2.0141 & 9.1696 & 16.633 & 2.646 & 0.3779 & 0.6285 & 0.2577 & 0.4499 \\ Fangshan Line & 2.0704 & 9.1759 & 15.135 & 2.5 & 0.3781 & 0.6532 & 0.2783 & 0.4693 \\ Capital Airport Express & 2.0141 & 9.1709 & 16.655 & 2.648 & 0.3779 & 0.6283 & 0.2491 & 0.4479 \\ Line 1 & 2.1368 & 9.2626 & 20.655 & 2.689 & 0.3667 & 0.6369 & 0.2054 & 0.4406 \\ Line 2 & 2.103 & 9.2854 & 18.359 & 2.691 & 0.3598 & 0.6277 & 0.232 & 0.4431 \\ Line 4 & 2.2148 & 9.2105 & 17.2 & 2.687 & 0.369 & 0.6237 & 0.2469 & 0.441 \\ Line 5 & 2.1299 & 9.2629 & 17.607 & 2.662 & 0.3633 & 0.6287 & 0.2393 & 0.4518 \\ Line 6 & 2.1645 & 9.2024 & 17.277 & 2.717 & 0.3682 & 0.6322 & 0.2497 & 0.4461 \\ Line 7 & 2.1786 & 9.2019 & 16.737 & 2.691 & 0.3717 & 0.6499 & 0.2556 & 0.4436 \\ Line 8 & 2.103 & 9.216 & 16.755 & 2.659 & 0.3704 & 0.6475 & 0.2523 & 0.4467 \\ Line 8 North & 2.0704 & 9.1728 & 16.631 & 2.619 & 0.3771 & 0.6517 & 0.2513 & 0.4572 \\ Line 9 & 0.01 & 9.2192 & 15.146 & 2.498 & 0.3727 & 0.6362 & 0.269 & 0.4742 \\ Line 10 & 0.01 & 9.0882 & 18.575 & 2.754 & 0.3591 & 0.592 & 0.2223 & 0.4332 \\ Line 13 & 2.064 & 9.2083 & 17.868 & 2.667 & 0.3718 & 0.64 & 0.2254 & 0.4437 \\ Line 14 East & 2.0768 & 9.1921 & 16.749 & 2.673 & 0.3741 & 0.0981 & 0.243 & 0.44 \\ Line 14 West & 2.5407 & 9.1744 & 16.601 & 2.64 & 0.3783 & 0.1011 & 0.2417 & 0.4431 \\ Line 15 & 2.0964 & 9.1653 & 16.472 & 2.618 & 0.3776 & 0.6554 & 0.2431 & 0.4474 \\ Line 16 & 2.0576 & 9.1595 & 16.308 & 2.617 & 0.3789 & 0.6496 & 0.2391 & 0.4475 \\ Line S1 & 2.045 & 9.1627 & 16.44 & 2.625 & 0.3786 & 0.6409 & 0.2367 & 0.449 \\ Xijiao Line & 2.0325 & 9.1651 & 16.589 & 2.637 & 0.3783 & 0.6383 & 0.2366 & 0.4527 \\ Yanfang Line & 2.0513 & 9.1674 & 15.784 & 2.565 & 0.3787 & 0.647 & 0.2516 & 0.4684 \\ Yizhuang Line & 2.0833 & 9.143 & 16.279 & 2.624 & 0.3795 & 0.6588 & 0.2464 & 0.4616 \\ \hline \hline \end{tabular}
\end{table} 
Table 10: Calculation results of the global impact index. As shown in Figure 7b, under Space L, Fangshan Line, Line 1, Line 2, Line 9, and Line 10 are the five lines with the largest path length influence coefficient, and have a significant influence on the distance between stations in the network. Daxing International Airport Express, Capital Airport Express, Line 8 North, Line 14 West, and Xijiao Line are the five lines with the smallest path length influence coefficient, and the lines located at the edge of the network have a poor influence effect. Under Space P, Fangshan Line, Line 6, Yanfang Line, Line 9, and Line 10 are the five lines with the largest path length influence coefficient. Daxing International Airport Express, Capital Airport Express, Line 5, Line 14 West, and Line 8 are the five lines with the smallest path length influence coefficient. Combining the comprehensive effects under the two spaces, the path length influence of the Daxing International Airport Express, Capital Airport Express, and 14 West has the worst effect, and the path length influence of Line 9, Line 10, and the Fangshan Line are the most significant. As shown in Figure 7c, under Space L, Batong Line, Changping Line, Daxing International Airport Express, Fangshan Line, and Capital Airport Express are the five lines with the smallest connectivity influence coefficient, and they are located at the edge of the network.