## 3 Results and Analysis
### Analysis of the Average RSEI in the Study Area
#### 3.2.2 Spatial Characteristics Analysis of Ecological Environment Quality in the Study Area
The interaction detection results for the factors across seven different periods (Figure 8) consistently indicated that the interaction between any two influencing factors on the spatial differentiation of ecological environmental quality was greater than the isolated effect of each individual factor, with all the interactions exhibiting synergistic enhancement. This demonstrates that the spatial differentiation in ecological environmental quality within the study area was not dictated by solitary factors, but rather by the interplay of multiple factors. The collective influence of natural geographic, policy protection, and socioeconomic factors  
\begin{table}
\begin{tabular}{c c c c c c c c c c c c c c c} \hline \hline
**Ecological** & \multirow{2}{*}{**Indicator**} & \multicolumn{2}{c}{**1990**} & \multicolumn{2}{c}{**1995**} & \multicolumn{2}{c}{**2000**} & \multicolumn{2}{c}{**2005**} & \multicolumn{2}{c}{**2010**} & \multicolumn{2}{c}{**2015**} & \multicolumn{2}{c}{**2020**} \\ \cline{3-14}
**Factor** & & **q** & **Rank** & **q** & **Rank** & **q** & **Rank** & **q** & **Rank** & **q** & **Rank** & **q** & **Rank** & **q** & **Rank** \\ \hline \multirow{9}{*}{Natural} & DEM & \multirow{2}{*}{0.23} & \multirow{2}{*}{4} & \multirow{2}{*}{0.28} & \multirow{2}{*}{4} & \multirow{2}{*}{0.23} & \multirow{2}{*}{4} & \multirow{2}{*}{0.25} & \multirow{2}{*}{4} & \multirow{2}{*}{0.25} & \multirow{2}{*}{4} & \multirow{2}{*}{0.26} & \multirow{2}{*}{3} & \multirow{2}{*}{0.37} & \multirow{2}{*}{1} \\  & (X1) & & & & & & & & & & & & & & \\ Slope & \multirow{2}{*}{0.07} & \multirow{2}{*}{9} & \multirow{2}{*}{0.08} & \multirow{2}{*}{8} & \multirow{2}{*}{0.09} & \multirow{2}{*}{8} & \multirow{2}{*}{0.12} & \multirow{2}{*}{7} & \multirow{2}{*}{0.11} & \multirow{2}{*}{8} & \multirow{2}{*}{0.06} & \multirow{2}{*}{8} & \multirow{2}{*}{0.06} & \multirow{2}{*}{8} \\  & (X2) & & & & & & & & & & & & & \\ NDVI & \multirow{2}{*}{0.53} & \multirow{2}{*}{1} & \multirow{2}{*}{0.55} & \multirow{2}{*}{1} & \multirow{2}{*}{0.46} & \multirow{2}{*}{1} & \multirow{2}{*}{0.51} & \multirow{2}{*}{1} & \multirow{2}{*}{0.45} & \multirow{2}{*}{1} & \multirow{2}{*}{0.35} & \multirow{2}{*}{1} & \multirow{2}{*}{0.3} & \multirow{2}{*}{2} \\ geographic & \multirow{2}{*}{Temperature} & (X4) & & & & & & & & & & & & & \\ Precipitation & \multirow{2}{*}{0.42} & \multirow{2}{*}{2} & \multirow{2}{*}{0.33} & \multirow{2}{*}{2} & \multirow{2}{*}{0.35} & \multirow{2}{*}{3} & \multirow{2}{*}{0.36} & \multirow{2}{*}{3} & \multirow{2}{*}{0.38} & \multirow{2}{*}{3} & \multirow{2}{*}{0.3} & \multirow{2}{*}{2} & \multirow{2}{*}{0.3} & \multirow{2}{*often led to an amplified explanatory effect, with a multitude of factors jointly shaping the spatial differentiation in ecological environmental quality. Figure 8: Interactive detection results of each factor. Based on the results of the factor detection, an analysis was further conducted integrating the MGWR to examine the response of the main driving factors to the spatial differentiation in ecological environmental quality in the study area. It was found that NDVI and temperature exhibited significant collinearity (Figure 8). Considering the impact of protected areas on the ecological environmental quality of the study area, the temperature factor was replaced with the protected area factor for the MGWR analysis. The results (Table 5) indicated that the average adjusted R-squared (adj.R\({}^{2}\)) value for the regression outcomes of different periods was 0.874, and there was an overall upward trend in adj.R\({}^{2}\) over time, signifying a clear spatial correlation between the spatial differentiation in ecological environmental quality and the main driving factors, with this correlation strengthening over time. The bandwidth was the most crucial parameter of the MGWR, with a smaller value indicating higher spatial heterogeneity. Among the driving factors, NDVI had the smallest bandwidth, suggesting it had the most significant spatial heterogeneity.