Model | Variable | Un-fixed effect | Spatial fixed effect | Time fixed effect | Time-spatial fixed effect | ||||
| Two kinds of spatial weights | Distance decay weights | Geographic weights | Distance decay weights | Geographic weights | Distance decay weights | Geographic weights | Distance decay weights | Geographic weights |
Spatial lag panel data model | Constant term | −23.99*** | 23.72*** | −23.37 | −23.11 | −27.45 | −21.09 | −26.47 | 18.86 |
Life expectancy | 9.21*** | 9.23*** | 9.17*** | 9.20*** | 8.20*** | 8.37*** | 8.43*** | 8.64*** | |
Physical capital | 0.66*** | 0.65*** | 0.68*** | 0.67*** | 0.55*** | 0.55*** | 0.61*** | 0.61*** | |
The average years of schooling | 0.23 | 0.31 | 0.01 | 0.10 | 1.60*** | 1.54*** | 1.17*** | 1.05*** | |
W*dep. var. | −0.06 | 0.13*** | 0.03 | 0.11*** | 0.41*** | 0.41*** | 0.35*** | 0.62*** | |
R-squared | 0.82 | 0.82 | 0.84 | 0.84 | 0.89 | 0.89 | 0.91 | 0.91 | |
sigma^2 | 0.17 | 0.17 | 0.15 | 0.15 | 0.10 | 0.10 | 0.09 | 0.09 | |
log-likelihood | −321.70 | −318.27 | −289.65 | −286.78 | −167.08 | −166.69 | −127.02 | −121.96 | |
Spatial error panel data model | Constant term | −24.44*** | −23.58*** | −23.88 | 23.17 | −24.27 | −25.28 | −23.74 | −24.51 |
Life expectancy | 8.46*** | 8.12*** | 8.63*** | 8.38*** | 8.30*** | 8.63*** | 8.52*** | 8.78*** | |
Physical capital | 0.58*** | 0.56*** | 0.63*** | 0.62*** | 0.56*** | 0.57*** | 0.62*** | 0.63*** | |
The average years of schooling | 1.43*** | 1.61*** | 1.04*** | 1.16*** | 1.61*** | 1.47*** | 1.16*** | 1.04*** | |
Spat.aut. | 0.814*** | 0.790*** | 0.846*** | 0.785*** | 0.424*** | −0.974*** | 0.448*** | −0.985*** | |
R-squared | 0.804 | 0.803 | 0.826 | 0.825 | 0.895 | 0.895 | 0.908 | 0.908 | |
sigma^2 | 0.103 | 0.116 | 0.089 | 0.102 | 0.102 | 0.097 | 0.089 | 0.084 | |
Log-likelihood | −186.316 | −218.553 | −140.419 | −180.283 | −166.249 | −157.139 | −125.451 | −114.951 |