Figure 1.

Figure 2.

Figure 3.

Regression results of negative binomial model_
| Variable | Collaborative innovation performance | ||||||
|---|---|---|---|---|---|---|---|
| M1 | M2 | M3 | M4 | M5 | M6 | M7 | |
| BC | 0.008*** (0.001) | 0.001*** (0.000) | 0.002*** (0.000) | 0.002*** (0.000) | 0.002*** (0.000) | 0.004*** (0.000) | 0.005*** (0.000) |
| CL | 0.206*** (0.049) | 0.208*** (0.049) | 0.412*** (0.000) | ||||
| ST | 0.068*** (0.001) | 0.069*** (0.001) | 0.070*** (0.000) | ||||
| BC×ST | 0.001*** (0.000) | 0.000*** (0.000) | |||||
| BC×CL | -0.005*** (0.002) | -0.006*** (0.000) | |||||
| TR | 0.061*** (0.002) | 0.057*** (0.003) | 0.058*** -0.003 | 0.049*** (0.001) | 0.051*** (0.001) | 0.046*** (0.000) | |
| EC | -0.011 (0.025) | -0.014 (0.024) | -0.015*** (0.024) | 0.126*** (0.019) | 0.116*** (0.018) | 0.110*** (0.000) | |
| CC | 1.099*** (0.140) | 1.127*** (0.139) | 1.106*** (0.139) | 0.952*** (0.102) | 0.931*** (0.102) | 1.066*** (0.000) | |
| Constant | 2.083*** (0.021) | 1.887*** (0.146) | 1.815*** (0.146) | 1.830*** (0.146) | 0.473*** (0.109) | 0.492*** (0.000) | 0.271** (0.012) |
| N | 5,720 | 5,720 | 5,720 | 5,720 | 5,720 | 5,720 | 5,720 |
| R2 | 0.023 | 0.055 | 0.055 | 0.056 | 0.177 | 0.179 | 0.183 |
Correlation results of variables_
| PE | BC | CL | ST | TR | EC | CC | |
|---|---|---|---|---|---|---|---|
| PE | 1.000 | ||||||
| BC | 0.507* | 1.000 | |||||
| CL | 0.019 | -0.033 | 1.000 | ||||
| ST | 0.371* | 0.027 | -0.056* | 1.000 | |||
| TR | 0.640* | 0.374* | 0.203* | 0.060* | 1.000 | ||
| EC | 0.030 | 0.133* | 0.260* | -0.039* | 0.106* | 1.000 | |
| CC | 0.0222 | -0.068* | -0.279* | 0.024 | -0.081* | -0.832* | 1.000 |
Robustness test results_
| Variable | M8 | M9 | M10 | M11 | M12 | M13 | M14 |
|---|---|---|---|---|---|---|---|
| PR | ZNBR | PR | PR | ZNBR | ZNBR | NBR | |
| BC | -0.001*** | 0.001*** | 0.000*** | -0.000*** | 0.004*** | 0.002*** | 0.298*** |
| ST | 0.010*** | 0.069*** | 0.0665*** | ||||
| BC×ST | 0.000*** | 0.000*** | 1.020e-3*** | ||||
| CL | 0.309*** | 0. 208*** | -0.510*** | ||||
| BC×CL | -0.002*** | -0.005*** | 0.297*** | ||||
| TR | 0.031*** | 0.061*** | 0.030*** | 0.030*** | 0.051*** | 0.058*** | -0.062*** |
| EC | 0.302*** | -0.011 | 0.360*** | 0.306*** | 0.116*** | -0.0151 | 0.033** |
| CC | 2.158*** | 1.099*** | 2.617*** | 2.361*** | 0.932*** | 1.106*** | 0.497*** |
| Constant | 0.757*** | 1.887*** | 0.073*** | 0.482*** | 0.492*** | 1.830*** | 0.348*** |
| N | 5,720 | 5,720 | 5,720 | 5,720 | 5,720 | 5,720 | 5,720 |
Descriptive statistics of variables_
| Variable | Number | Mean | Standard Deviation | MIN | MAX |
|---|---|---|---|---|---|
| PE | 5,720 | 29.73 | 149.42 | 1.00 | 4,181 |
| BC | 5,720 | 10.41 | 98.71 | 0.00 | 2,612 |
| CL | 5,720 | 0.32 | 0.44 | 0.00 | 1.00 |
| ST | 5,720 | 8.86 | 24.01 | 0.20 | 692.00 |
| TR | 5,720 | 3.41 | 12.84 | 0.00 | 225.00 |
| EC | 5,720 | 2.05 | 1.37 | 1.00 | 9.00 |
| CC | 5,720 | 0.73 | 0.24 | 0.17 | 1.00 |
The construction detail of collaborative networks_
| Period | Firm | Patent | Ego-net | Network density | Average degree | Average length path |
|---|---|---|---|---|---|---|
| 2008-2011 | 261 | 1,614 | 85 | 0.007 | 1.862 | 1.563 |
| 2009-2012 | 332 | 2,226 | 98 | 0.006 | 2.066 | 1.667 |
| 2010-2013 | 368 | 2,970 | 108 | 0.006 | 2.109 | 1.688 |
| 2011-2014 | 422 | 3,842 | 122 | 0.005 | 2.199 | 1.873 |
| 2012-2015 | 489 | 4,782 | 135 | 0.005 | 2.585 | 1.940 |
| 2013-2016 | 556 | 5,615 | 144 | 0.005 | 2.712 | 2.178 |
| 2014-2017 | 643 | 6,732 | 158 | 0.004 | 2.734 | 1.887 |
| 2015-2018 | 766 | 9,215 | 175 | 0.004 | 2.851 | 1.913 |
| 2016-2019 | 886 | 11,506 | 190 | 0.003 | 2.756 | 2.273 |
| 2017-2020 | 997 | 13,694 | 204 | 0.003 | 2.776 | 3.093 |