## 4 Results and Analysis
### Correlation Analysis
#### 4.2.2 Spatial Correlation Analysis
As seen in Figure 7 (3), the spatial lag analysis results of various ecological indicators in 2010 and LE in 2020 show that, except for the fact that Wet is negatively correlated with LE, the rest are positively correlated, and GPP and NDVI have a strong correlation with LE. The results of the Moran scatter diagram in Figure 7 show the results of the spatiotemporal lag spatial crosscorrelation analysis between the LE data and the various index data. The Moran's I for GPP in 2010 and LE in 2015 is about 0.280, which is the highest, indicating that the spatiotemporal lag correlation between GPP and LE is the highest. It is inconsistent with the correlation coefficient results. When only considering the time lag, the Pearson coefficient for LAI is about 0.590, which is the highest; the Moran's I of LAI in 2015 and LE in 2020 is about 0.124, which is the highest, followed by a Moran's I for GPP in 2015 and LE in 2020, which is about 0.118. The Moran's I for LST in 2015 and LE in 2020 is negative, which is about \(-\)0.071. This indicates that LAI and LE have the highest spatiotemporal lag correlation. In the lag correlation analysis (without considering spatial distribution), the Pearson coefficient for GPP is about 0.567, which is the highest, and the Moran's I is inconsistent with the correlation coefficient; The Moran's I for GPP in 2010 and LE in 2020 is about 0.218, which is the highest, indicating that the spatiotemporal lag correlation between GPP and LE is the highest. It is consistent with the correlation coefficient results. In the correlation analysis that only considers time lag, the Pearson coefficient for GPP is about 0.545, which is the highest. In conclusion, the spatiotemporal lag correlation between GPP and LE is higher than other ecological indicators. The partial results of the Cluster Map obtained by GeoDa are shown in Figure 8. It can be seen that the LE in 2015 and the CEI in 2010 in the Cluster Map are low-low in Wuwei City, high-low in Baiyin City, and not significant in other cities; LE in 2020 and CEI in 2020 and CEI in 2015 in the Cluster Map show low-low in Wuwei City and high-high in Xi'an City. Figure 7: _Cont._  
Figure 7: Results of spatiotemporal lag spatial crosscorrelation analysis between indicators and life expectancy (LE). (**1**) Analysis results of spatial lag between ecological indexes in 2010 and LE in 2015; (**a**) 2015 life expectancy and 2010 gross primary production (GPP) Moran’s I results; (**b**) 2015 life expectancy and 2010 leaf area index (LAI) Moran’s I results; (**c**) 2015 life expectancy and 2010 land surface temperature (LST) Moran’s I results; (**d**) 2015 life expectancy and 2010 normalized difference vegetation index (NDVI) Moran’s I results; (**e**) 2015 life expectancy and 2010 Wet Moran’s I results;  
(**f**) 2015 life expectancy and 2010 comprehensive ecological index (P) Moran's I results. (**2**) Analysis results of spatial lag between ecological indexes in 2015 and LE in 2020; (**a**) 2020 life expectancy and 2015 GPP Moran's I results; (**b**) 2020 life expectancy and 2015 LAI Moran's I results; (**c**) 2020 life expectancy and 2015 LST Moran's I result; (**d**) 2020 life expectancy and 2015 NDVI Moran's I results, (**e**) 2020 life expectancy and 2015 Wet Moran's I results; (**f**) 2020 life expectancy and 2015 comprehensive ecological index Moran's I results. (**3**) Analysis results of spatial lag between ecological indexes in 2010 and LE in 2020; (**a**) 2020 life expectancy and 2010 GPP Moran's I results; (**b**) 2020 life expectancy and 2010 LAI Moran's I results; (**c**) 2020 life expectancy and 2010 LST Moran's I results; (**d**) 2020 life expectancy and 2010 NDVI Moran's I results; (**e**) 2020 life expectancy and 2010 Wet Moran's I results; (**f**) 2020 life expectancy and 2010 comprehensive ecological index Moran's I results. Figure 8: Cluster Map results. (**a**) Cluster Map of life expectancy (LE) in 2015 and comprehensive ecological index (CEI) in 2010.