## 3 Results
### Estimated Results of Vacancy Rates in Residential Communities

Table 1: Data and their sources. We graded the housing vacancy rate in each neighborhood at intervals of every 0.2 (20%), which gives us the housing vacancy rate and its layout in the residential community of the study area (Figure 9). On the whole, the average vacancy rate of houses in Longquanyi District is 46%, among which communities with a very high vacancy rate (>80%) account for 14.4%, communities with a high vacancy rate (60-80%) account for 22.6%, communities with a medium vacancy rate (40-60%) account for 42.8%, communities with a low vacancy rate (20-40%) account for 25.5%, and those with a very low vacancy rate (<20%) account for 22.2%. It can be seen that the vacancy rate of residential areas in Longquanyi District of Chengdu is affected by the relatively high and extremely high vacancy rates. Even the overall vacancy rate is much higher than that of cities like Chongqing (HVR is 20.8%) [10]. It can be said that Longquanyi District is currently in a high vacancy rate. In terms of spatial distribution, low-vacancy-rate communities are mainly concentrated around Chengdu University, around Longquanyi metro station, and in the center of Tong'an Street. Communities with high vacancy rates are distributed at the edges of the clusters. \begin{table}
\begin{tabular}{c c c c} \hline
**District Name** & \(\mathbf{H}_{i}\) & \(\mathbf{RH}_{i}\) & **Estimation Error** \\ \hline CapitaMalls Asia & 0.4850 & 0.5667 & 0.0817 \\ Poly Roses & 0.4200 & 0.4154 & \(-\)0.0046 \\ Baiyue City & 0.4860 & 0.4310 & \(-\)0.0550 \\ Wolong City Nine & 0.7360 & 0.7333 & \(-\)0.0027 \\ Sansheng Metro City & 0.5040 & 0.5357 & 0.0317 \\ Universe Grand Gateway City & 0.5310 & 0.5862 & 0.0552 \\ Lai Fung Court, Phase 1, Geely Mansion & 0.5980 & 0.7222 & 0.1242 \\ Dragon East Foothill City & 0.5690 & 0.6322 & 0.0632 \\ China Resources Land Times City & 0.0700 & 0.4747 & 0.4047 \\ Peaceful Home & 0.2470 & 0.3618 & 0.1148 \\ Modern New Home & 0 & 0.21 & 0.2879 \\ Ocean Power International Community & 0.2720 & 0.4630 & 0.1910 \\ Blue Sky Central Court & 0.2630 & 0.3000 & 0.0370 \\ Impressions of Longquan & 0.3290 & 0.4554 & 0.1264 \\ Beautiful view of Pengcheng Golden Dragon & 0.3780 & 0.4111 & 0.0331 \\ Jinglong Life Garden & 0.4250 & 0.6200 & 0.1950 \\ Huangge Yishu & 0.3140 & 0.5200 & 0.2060 \\ Oriental Wah Mei Court & 0.4200 & 0.4800 & 0.0600 \\ Yedu Yunting & 0.5180 & 0.4552 & \(-\)0.0628 \\ \hline \end{tabular}
\end{table} 
Table 2: HVR estimation accuracy table. Figure 9: Residential vacancy rate grading chart. We conducted a local spatial autocorrelation analysis of the vacancy rates of residential communities to explore the spatial correlation and clustering characteristics of the vacancy rates. The results are shown in Figure 10.  
In Figure 10, HH represents a high vacancy rate in both the district and its surrounding districts, with a high-high positive correlation between them. LL represents a low vacancy rate in both the district and its surrounding districts. A low-low correlation is observed between the two variables. The HL scenario represents a district with a high vacancy rate and its surrounding districts with a low vacancy rate, exhibiting a high-low correlation. The remaining cases demonstrate no significant correlation. The results demonstrate that the HH area is predominantly situated in the peripheries of Longquanyi, Damian Street, Longquan Street, Tongan Street, and Luodai Town. This suggests that the vacancy rate of housing in this area is relatively high and that there is an HH spatial agglomeration with significant development potential. Conversely, the LL area is concentrated in the vicinity of Chengdu University in Shiling Street, Longquanyi District, which exhibits a low vacancy rate and displays the characteristics of agglomeration. This area has undergone more comprehensive development. In general, the size of the housing vacancy rate in the study area exhibits certain spatial clustering characteristics.