## 4 Results
### Analysis of Co-Integration  
In this research, only indicators that are stationary at the first difference level (I(1)) were selected for the co-integration test based on [PERSON] and [PERSON]'s theory. The results of the analysis are presented in Table 2. \begin{table}
\begin{tabular}{l c c c c c c} \hline \hline  & \multicolumn{3}{c}{**Tau Test**} & \multicolumn{3}{c}{**MacKinnon Critical Value**} \\ \hline \multirow{2}{*}{**Variables**} & **Level I(0)** & \multirow{2}{*}{**Variables**} & **First Difference** & \multirow{2}{*}{**1\%**} & \multirow{2}{*}{**5\%**} & \multirow{2}{*}{**10\%**} \\  & **Value** & & **I(1) Value** & & & \\ \hline \(\ln(Urr)\) & \(-3.01\) & \(\Delta\ln(Urr)\) & \(-4.65\)*** & \(-4.05\) & \(-3.85\) & \(-2.50\) \\ \(\ln(Urs)\) & \(-3.21\) & \(\Delta\ln(Urs)\) & \(-4.11\)*** & \(-4.05\) & \(-3.85\) & \(-2.50\) \\ \(\ln(Exe)\) & \(-3.77\) & \(\Delta\ln(Exe)\) & \(-4.05\)*** & \(-4.05\) & \(-3.85\) & \(-2.50\) \\ \(\ln(Fie)\) & \(-3.05\) & \(\Delta\ln(Fie)\) & \(-4.15\)*** & \(-4.05\) & \(-3.85\) & \(-2.50\) \\ \(\ln(Gep)\) & \(-3.79\) & \(\Delta\ln(Gep)\) & \(-4.05\)*** & \(-4.05\) & \(-3.85\) & \(-2.50\) \\ \(\ln(Emr)\) & \(-3.52\) & \(\Delta\ln(Emr)\) & \(-4.59\)*** & \(-4.05\) & \(-3.85\) & \(-2.50\) \\ \(\ln(Hlr)\) & \(-3.69\) & \(\Delta\ln(Hhr)\) & \(-4.28\)*** & \(-4.05\) & \(-3.85\) & \(-2.50\) \\ \(\ln(Edc)\) & \(-3.40\) & \(\Delta\ln(Edc)\) & \(-4.09\)*** & \(-4.05\) & \(-3.85\) & \(-2.50\) \\ \(\ln(Gtr)\) & \(-3.05\) & \(\Delta\ln(Gtr)\) & \(-5.55\)*** & \(-4.05\) & \(-3.85\) & \(-2.50\) \\ \(\ln(Bie)\) & \(-3.19\) & \(\Delta\ln(Bie)\) & \(-5.21\)*** & \(-4.05\) & \(-3.85\) & \(-2.50\) \\ \(\ln(\text{Rer})\) & \(-3.48\) & \(\Delta\ln(\text{Rer})\) & \(-4.05\)*** & \(-4.05\) & \(-3.85\) & \(-2.50\) \\ \(\ln(Gmr)\) & \(-3.21\) & \(\Delta\ln(Gmr)\) & \(-5.09\)*** & \(-4.05\) & \(-3.85\) & \(-2.50\) \\ \(\ln(Ecr)\) & \(-3.49\) & \(\Delta\ln(Ecr)\) & \(-4.25\)*** & \(-4.05\) & \(-3.85\) & \(-2.50\) \\ \(\ln(Eir)\) & \(-3.11\) & \(\Delta\ln(Eir)\) & \(-4.05\)*** & \(-4.05\) & \(-3.85\) & \(-2.50\) \\ \(\ln(CO_{2})\) & \(-3.59\) & \(\Delta\ln(CO_{2})\) & \(-5.25\)*** & \(-4.05\) & \(-3.85\) & \(-2.50\) \\ \(\ln(CH_{4})\) & \(-3.69\) & \(\Delta\ln(CH_{4})\) & \(-4.75\)*** & \(-4.05\) & \(-3.85\) & \(-2.50\) \\ \(\ln(N_{2}O)\) & \(-3.41\) & \(\Delta\ln(N_{2}O)\) & \(-4.50\)*** & \(-4.05\) & \(-3.85\) & \(-2.50\) \\ \hline \hline \end{tabular} Source: Author’s estimate (2024). Note: (\(Urr\)) is the urbanization rate, (\(Urs\)) is the industrial structure, (\(Exe\)) is the export–import ratio, (\(Fie\)) is the indirect foreign investment, (\(Gep\)) is the government expenditure, (\(Emr\)) is the employment rate, (\(Hlr\)) is the health and illness rate, (\(Edc\)) is the education rate, (\(Gtr\)) is the green technology, (\(Bie\)) is the biomass energy, (\(Rer\)) is the renewable energy rate, (\(Gmr\)) is the green material rate, (\(Ecr\)) is the energy consumption, (\(Eir\)) is the energy intensity rate, (\(CO_{2}\)) is the carbon dioxide emissions, (\(CH_{4}\)) is the methane emissions, (\(N_{2}O\)) is the nitrous oxide emissions, *** denotes a significance, \(\alpha=0.01\).  
\end{table} 
Table 1: Results of stationary tests of indicators.