Table 3 Robustness tests.

From: Network externalities of the innovation network in China’s five urban agglomerations: based on “buzz-and-pipeline” theory

Variable

Mean value of nighttime light

Actual GDP

Total value of nighttime light

(2011–2018)

(1)

(2)

(3)

(4)

(5)

(6)

(7)

(8)

(9)

Intra

Inter

Dual weight

Intra

Inter

Dual weight

Intra

Inter

Dual weight

\({W}_{\text{in}}K\)

26.542***

 

28.241***

3.938**

 

1.846

56.024***

 

62.251***

 

(6.515)

 

(6.941)

(3.884)

 

(4.222)

(8.443)

 

(9.418)

\({W}_{{in}}L\)

2.415**

 

2.585**

0.795***

 

0.567**

3.990***

 

4.582***

 

(1.190)

 

(1.273)

(0.230)

 

(0.221)

(1.273)

 

(1.354)

\({W}_{{out}}K\)

 

−16.423*

−16.406*

 

−23.423**

−20.518*

 

−18.968

55.074

  

(9.411)

(8.812)

 

(9.627)

(10.661)

 

(41.618)

(34.930)

\({W}_{{out}}L\)

 

0.683**

0.487*

 

0.865*

0.712

 

1.103

1.367

  

(0.309)

(0.289)

 

(0.635)

(0.627)

 

(1.866)

(1.690)

Control

YES

YES

YES

YES

YES

YES

YES

YES

YES

Observations

920

920

920

920

920

920

736

736

736

R-squared

0.977

0.975

0.977

0.995

0.995

0.996

0.971

0.967

0.971

yearfix

YES

YES

YES

YES

YES

YES

YES

YES

YES

infix

YES

YES

YES

YES

YES

YES

YES

YES

YES

  1. Note: Standard deviations in parentheses; *, **, *** represent significant at the 10%, 5%, and 1% levels.