Table 1 The instrumental estimate of AI on NS.

From: Agricultural insurance shows spatially heterogeneous effects on nitrogen surplus and its induced water shortage in China

Variable

West

Central

East

1st stage

2nd stage

1st stage

2nd stage

1st stage

2nd stage

IV

−53.3572***

(10.851)

−49.6820**

(20.915)

−4.6530***

(0.927)

AI

0.1796***

(0.040)

−0.0919*

(0.051)

−0.0921*** (0.015)

Constant

−104.0852*

(59.074)

39.6956***

(14.839)

−27.2446

(57.846)

−58.0531***

(14.183)

431.1728***

(138.048)

−52.4976**

(26.648)

Year trend

1.2338

(2.337)

5.1855***

(0.520)

−8.1095***

(2.221)

4.9623***

(0.746)

−8.0956***

(2.270)

4.0818***

(0.444)

Year trend2

0.6365***

(0.132)

−0.3822***

(0.039)

1.2889***

(0.157)

−0.2410***

(0.074)

1.0387***

(0.151)

−0.2031***

(0.029)

Control variables

YES

YES

YES

YES

YES

YES

City-fixed effects

YES

YES

YES

YES

YES

YES

Observations

1154

1154

1457

1457

1423

1423

Adjusted R2

0.786

0.966

0.789

0.941

0.766

0.972

F test value

36.52***

617.3***

48.65***

854.9***

32.07***

880.8***

Under-identification test

Sanderson-Windmeijer

26.42***

6.10**

27.24***

 

Kleibergen-Paap rk LM statistic

16.81***

17.823***

20.14***

 

Weak IV tests

F test of excluded instruments

24.18***

5.64**

25.18***

 

Cragg-Donald Wald

28.89

15.003

49.51

 

Anderson-Rubin Wald

20.19***

5.43**

12.27***

 
  1. ***, **, and * represent significance at the 1%, 5%, and 10% levels, respectively. The table reports the regression results by employing 2SLS.