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Table 5 Results of cointegration.

From: Oil price, energy consumption and carbon dioxide (CO2) emissions: insight into sustainability challenges in Venezuela

Specifications

Structural break date(s)

Optimal lag

F-statistic

1

FEngy[lnEngy|lnOil, lnCO2, lnRgdpc, lnGCE, lnTrd, TBrk]

1987

ARDL (2, 0, 0, 0, 0, 2)

7.180***

2

 FEngy[lnEngy|lnOil, lnCO2, lnRgdpc, lnGCE, lnTrd, TBrk]

1978, 2003

ARDL (2, 0, 0, 0, 2)

7.273***

3

 \(F_{{{\text{CO}}_{2} }}\)[lnCO2|lnOil, lnEngy, lnRgdpc, lnRgdpc2, lnGCE, lnTrd, TBrk]

2004

ARDL (1, 1, 0, 1, 1, 0, 0)

4.393**

4

 \(F_{{{\text{CO}}_{2} }}\)[lnCO2|lnOil, lnEngy, lnRgdpc, lnRgdpc2, lnGCE, lnTrd, TBrk]

1977, 2004

ARDL (1, 1, 0, 0, 0, 1, 0)

5.137***

5

 FRgdpc[lnRgdpc|lnOil, lnEngy, lnCO2, lnGCE, lnTrd, TBrk]

2004

ARDL (1, 0, 0, 1, 0, 0)

7.134***

6

 FRgdpc[lnRgdpc|lnOil, lnEngy, lnCO2, lnGCE, lnTrd, TBrk]

1980, 2005

ARDL (1, 0, 0, 1, 0, 0)

8.614***

Critical value bounds

1%

5%

10%

I0 bound (K = 5)

3.657

2.734

2.306

I1 bound (K = 5)

5.256

3.920

3.353

I0 bound (K = 6)

3.505

2.618

2.218

I1 bound (K = 6)

5.121

3.863

3.314

  1. Optimal lag length for all ARDL models selected based on Akaike information criterion (AIC); restricted intercept and no trend; ** and *** indicate 5% level and 1% level of significance, respectively