Table 6 Robustness checks for NARDL estimation models.

From: Waste-to-energy and its asymmetric impact on ecological footprint: implications for environmental sustainability

 

China

United States

 

NARDL with WTELR asymmetry

NARDL with WTELR and WTESR asymmetry

Model

1, 1, 1, 0, 0, 0, 1, 0

1, 0, 3, 0, 0, 0, 3, 2

Long run

WTE+

−0.1702***

0.1203***

WTE-

−0.9796**

0.4475

GDP

1.2922**

2.1440***

GDP2

−8.3252**

−2.2662***

FID

1.5909**

0.0068**

FDI

0.2609**

0.6433**

UP

3.5779**

2.2629**

Short run

WTE

−0.0711

–

WTE+

–

−0.0563***

WTE−

−

−0.0039

GDP

−0.6131

−0.7976

GDP2

0.5998

1.1031

FID

−0.1820

0.0033

FDI

0.0227

0.1849

UP

2.4204

0.7473

Diagnostic test

Jarque–Bera

1.1587

1.1704

Breusch–Godfrey Serial Correlation LM test

1.6810

0.9539

ARCH

0.8238

0.7691

Ramsey test

2.0859

0.4811

  1. *** and ** represent significance at the 1% and 5% significance levels, respectively.