## 3 Empirical Results
### Spatial Spillover Effect Decomposition  
A Dubin model could show the influence of environmental regulation and financial support for agriculture on the agricultural green development. However, it cannot accurately forecast the influence. Thus, further calculation of a partial differential equation is required, in which the total effect is decomposed into direct and indirect effect; thus, the comprehensive environmental regulation and financial support for agriculture on agricultural green development is discussed. The influences of specific decomposition are shown in Table 5.  
\begin{table}
\begin{tabular}{c c c c c c c} \hline \hline \multirow{2}{*}{**Variables**} & \multicolumn{6}{c}{**Static of Dubin Model**} \\ \cline{2-7}  & \multicolumn{2}{c}{**Long-Term Effects**} & \multicolumn{4}{c}{**Long-Term Effects of Interaction Relationship**} \\ \cline{2-7}  & **Direct Effect** & **Indirect Effect** & **Total Effect** & **Direct Effect** & **Indirect Effect** & **Total Effect** \\ \hline \multirow{2}{*}{Iner} & \(-0.0822\)*** & \(-0.1255\)*** & \(-0.2077\)*** & \(-0.0828\)*** & \(-0.1275\)*** & \(-0.2104\)*** \\  & \((-5.57)\) & \((-2.91)\) & \((-4.12)\) & \((-5.60)\) & \((-3.33)\) & \((-4.69)\) \\ \multirow{2}{*}{Infiscal} & \(0.2459\) & \(1.3430\)*** & \(1.5889\)*** & \(0.3118\)** & \(1.8113\)*** & \(2.1231\)*** \\  & \((1.60)\) & \((3.70)\) & \((3.82)\) & \((1.83)\) & \((4.28)\) & \((4.53)\) \\ \multirow{2}{*}{Iner \(\times\) Infiscal} & & & & \(-0.0280\) & \(-0.1546\)* & \(-0.1826\)* \\  & & & & \((-0.69)\) & \((-1.76)\) & \((-1.87)\) \\ \multirow{2}{*}{Instruc} & \(0.2755\)*** & \(-0.2132\)*** & \(0.0622\) & \(0.2733\)*** & \(-0.2021\)** & \(0.0711\) \\  & \((8.93)\) & \((-2.63)\) & \((0.69)\) & \((8.98)\) & \((-2.47)\) & \((0.79)\) \\ \multirow{2}{*}{Inagrimech} & \(-0.0138\) & \(0.0226\) & \(0.0087\) & \(-0.1312\) & \(0.0221\) & \(0.0090\) \\  & \((-1.14)\) & \((0.85)\) & \((0.30)\) & \((-1.09)\) & \((0.88)\) & \((0.33)\) \\ \multirow{2}{*}{Inedu} & \(-0.1544\) & \(0.4499\)* & \(0.2955\) & \(-0.1357\) & \(0.5352\)** & \(0.3995\) \\  & \((-1.44)\) & \((1.69)\) & \((0.90)\) & \((-1.26)\) & \((1.98)\) & \((1.23)\) \\ \multirow{2}{*}{Inscale} & \(0.0129\) & \(0.0721\) & \(0.0851\) & \(0.0088\) & \(0.0398\) & \(0.4868\) \\  & \((0.21)\) & \((0.50)\) & \((0.53)\) & \((0.14)\) & \((-1.76)\) & \((0.33)\) \\ \hline \hline \end{tabular}
\end{table}
Table 5: The results of spatial Dubin model of spatial spillover decomposition.  
According to the decomposition results of the spatial Dubin model effect shown in Table 5, the direct effect, spatial effect and total effect of environmental regulation on agricultural green development are all significantly negative, indicating that the greater the environmental regulation, the lower the level of agricultural green development, which is both supported in local and adjacent regions. Conversely, the direct effect, spatial effect and total effect of financial support for agriculture on agricultural green development are all significantly positive, indicating that the greater the financial support for agriculture, the higher the level of agricultural green development in both local and adjacent regions. Furthermore, the spatial interaction spillover effects between environmental regulation and financial support for agriculture on agricultural green development is significantly negative, while the coefficient decreases gradually. Agricultural green development would decrease by 0.17% when the interaction term between environmental regulation and financial support for agriculture decreases by 1%, among which the direct effect is \(-\)0.01% and the indirect effect is \(-\)0.16%. Additionally, the total effects of industrial structure on agricultural green development are lower than that of direct effect and spatial spillover effect. In contrast, the direct effect of workers' education on agricultural green development is lower than that of the spatial spillover effect and the total effect.