Table 4 Robust tests: promotion motivation and fertility decline performance (PPRs TFR-based).

From: Facilitating fertility decline through economic development: a principal-agent analysis of local bureaucratic incentives in China’s fertility transition

Dependent variable:

FEM as baseline model

System GMM

ln(PPRs TFR)

(1)

(2)

(3)

(4)

Lagged ln(TFR)

0.886*** (0.011)

0.889*** (0.011)

0.909*** (0.018)

0.918*** (0.018)

Age

−0.019* (0.008)

 

−0.021* (0.010)

 

Age2 (*103)

0.160* (0.069)

 

0.179* (0.086)

 

Proximity to age 59

 

−0.002+ (0.001)

 

−0.002+ (0.001)

Proximity to turnover year

 

0.001 (0.001)

 

0.002 (0.001)

1 year before turnover

−0.021*** (0.005)

−0.024*** (0.005)

−0.025*** (0.005)

−0.026*** (0.005)

2 years before turnover

−0.006 (0.005)

−0.007 (0.005)

−0.006 (0.006)

−0.007 (0.007)

Central connection

0.001 (0.008)

0.001 (0.008)

−0.004 (0.010)

−0.003 (0.009)

Education (college+ = 1)

−0.009 (0.007)

−0.005 (0.006)

−0.001 (0.007)

0.003 (0.006)

Per capita GDP

−0.010 (0.008)

−0.010 (0.008)

0.005 (0.010)

0.006 (0.010)

Industrialization

−0.258*** (0.053)

−0.260*** (0.053)

−0.121*** (0.035)

−0.110** (0.034)

Urbanization

−0.041** (0.013)

−0.041** (0.013)

−0.031* (0.012)

−0.031* (0.012)

Divorce rate

0.000 (0.001)

0.000 (0.001)

0.000 (0.000)

0.000 (0.000)

Rural female labor

−0.067 (0.044)

−0.062 (0.043)

−0.078* (0.033)

−0.067* (0.032)

Marriage rate

1.774+ (0.981)

1.922+ (1.010)

2.057* (0.934)

2.171* (0.958)

Constant

0.713** (0.227)

0.117* (0.045)

0.690* (0.310)

0.038 (0.035)

Obs

1086

1086

1086

1086

Province-fixed

YES

YES

YES

YES

corr(x, ui)

−0.064

−0.065

  

Wald

  

146,647

158,011

P - AR(2)

  

0.290

0.360

P - Hansen test

  

0.375

0.377

  1. Robust standard errors in parentheses; ***p < 0.001, **p < 0.01, *p < 0.05, +p < 0.1.