

World Regional Studies ›› 2026, Vol. 35 ›› Issue (2): 18-32.DOI: 10.3969/j.issn.1004-9479.2026.02.20240529
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Wei LI1,2,3(
), Yue DENG1,2,3, Chao JIANG4, Wei LONG1,2,3, Yupeng LUAN1,2,3, Rixing HE1,2,3(
)
Received:2024-07-07
Revised:2024-12-10
Online:2026-02-15
Published:2026-02-27
Contact:
Rixing HE
李薇1,2,3(
), 邓悦1,2,3, 姜超4, 龙伟1,2,3, 栾雨芃1,2,3, 贺日兴1,2,3(
)
通讯作者:
贺日兴
作者简介:李薇(1999—),女,硕士研究生,研究方向为犯罪地理和犯罪预测,E-mail:2220902139@cnu.edu.cn。
基金资助:Wei LI, Yue DENG, Chao JIANG, Wei LONG, Yupeng LUAN, Rixing HE. Analysis of scale differences and spatial differentiation in the impact of the urban built environment on theft crime: A case study of Chicago, USA[J]. World Regional Studies, 2026, 35(2): 18-32.
李薇, 邓悦, 姜超, 龙伟, 栾雨芃, 贺日兴. 城市建成环境对盗窃犯罪影响的尺度差异及空间分异研究——以美国芝加哥为例[J]. 世界地理研究, 2026, 35(2): 18-32.
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URL: https://sjdlyj.ecnu.edu.cn/EN/10.3969/j.issn.1004-9479.2026.02.20240529
| 序号 | 变量名称 | VIF |
|---|---|---|
| 1 | 银行 | 1.369 |
| 2 | 公交站点 | 1.226 |
| 3 | 公园 | 1.029 |
| 4 | 餐馆 | 2.626 |
| 5 | 杂货店 | 1.333 |
| 6 | 学校 | 1.033 |
| 7 | 酒吧 | 1.647 |
| 8 | 酒店 | 1.457 |
| 9 | 购物中心 | 1.168 |
Tab.1 Results of multicollinearity test
| 序号 | 变量名称 | VIF |
|---|---|---|
| 1 | 银行 | 1.369 |
| 2 | 公交站点 | 1.226 |
| 3 | 公园 | 1.029 |
| 4 | 餐馆 | 2.626 |
| 5 | 杂货店 | 1.333 |
| 6 | 学校 | 1.033 |
| 7 | 酒吧 | 1.647 |
| 8 | 酒店 | 1.457 |
| 9 | 购物中心 | 1.168 |
| 模型 | AICc | R2 | Adj.R2 | Adj.R2提升量(提升百分比) |
|---|---|---|---|---|
| OLS | 60 391.122 | 0.449 | 0.448 | |
| GWR | 57 981.421 | 0.618 | 0.610 | 0.162(36.16%) |
| MGWR | 10 798.434 | 0.759 | 0.739 | 0.291(64.96%);0.129(21.15%) |
Tab.2 The fit indices of OLS, GWR and MGWR
| 模型 | AICc | R2 | Adj.R2 | Adj.R2提升量(提升百分比) |
|---|---|---|---|---|
| OLS | 60 391.122 | 0.449 | 0.448 | |
| GWR | 57 981.421 | 0.618 | 0.610 | 0.162(36.16%) |
| MGWR | 10 798.434 | 0.759 | 0.739 | 0.291(64.96%);0.129(21.15%) |
| 参数指标 | OLS | GWR | MGWR |
|---|---|---|---|
| Moran’s I | 0.21 | 0.11 | -0.02 |
| z-score | 26.10 | 13.35 | -1.50 |
| P值 | 0.00* | 0.00* | 0.13 |
Tab.3 Comparison of OLS, GWR, and MGWR residual autocorrelation analysis
| 参数指标 | OLS | GWR | MGWR |
|---|---|---|---|
| Moran’s I | 0.21 | 0.11 | -0.02 |
| z-score | 26.10 | 13.35 | -1.50 |
| P值 | 0.00* | 0.00* | 0.13 |
| 变量 | GWR 带宽 | MGWR 带宽 | MGWR带宽占样本总量百分比 |
|---|---|---|---|
| 常数项* | 8 331 | 2 435 | 4.36% |
| 学校* | 8 331 | 2 135 | 3.95% |
| 餐馆* | 8 331 | 2 135 | 3.95% |
| 购物中心* | 8 331 | 2 135 | 3.95% |
| 银行* | 8 331 | 3 567 | 6.60% |
| 公交站* | 8 331 | 4 614 | 8.53% |
| 杂货店* | 8 331 | 7 092 | 13.12% |
| 酒吧* | 8 331 | 17 330 | 32.06% |
| 酒店 | 8 331 | 6 145 | 11.37% |
| 公园 | 8 331 | 54 208 | 100% |
Tab.4 GWR and MGWR bandwidth for different variables
| 变量 | GWR 带宽 | MGWR 带宽 | MGWR带宽占样本总量百分比 |
|---|---|---|---|
| 常数项* | 8 331 | 2 435 | 4.36% |
| 学校* | 8 331 | 2 135 | 3.95% |
| 餐馆* | 8 331 | 2 135 | 3.95% |
| 购物中心* | 8 331 | 2 135 | 3.95% |
| 银行* | 8 331 | 3 567 | 6.60% |
| 公交站* | 8 331 | 4 614 | 8.53% |
| 杂货店* | 8 331 | 7 092 | 13.12% |
| 酒吧* | 8 331 | 17 330 | 32.06% |
| 酒店 | 8 331 | 6 145 | 11.37% |
| 公园 | 8 331 | 54 208 | 100% |
| 解释变量 | 平均值 | 标准差 | 最小值 | 中值 | 最大值 | 系数变化范围 |
|---|---|---|---|---|---|---|
| 截距 | -0.016 | 0.145 | -0.285 | -0.046 | 0.725 | -0.285~0.725 |
| 银行* | 0.043 | 0.074 | -0.237 | 0.030 | 0.522 | -0.237~0.522 |
| 公交站点* | 0.075 | 0.052 | -0.022 | 0.064 | 0.306 | -0.022~0.306 |
| 购物中心* | 0.097 | 0.223 | -0.936 | 0.077 | 1.361 | -0.936~1.361 |
| 餐馆* | 0.195 | 0.192 | -0.184 | 0.151 | 1.998 | -0.184~1.998 |
| 杂货店* | 0.012 | 0.043 | -0.111 | 0.008 | 0.170 | -0.111~0.170 |
| 学校* | 0.030 | 0.207 | -0.329 | 0.011 | 2.547 | -0.329~2.547 |
| 酒吧* | 0.016 | 0.027 | -0.035 | 0.023 | 0.059 | -0.035~0.059 |
| 酒店 | 0.142 | 0.228 | -0.041 | 0.061 | 1.150 | -0.041~1.150 |
| 公园 | -0.006 | 0.001 | -0.008 | -0.006 | -0.003 | -0.008~-0.003 |
Tab.5 The summary statistics of Multiscale Geographically Weighted Regression coefficients
| 解释变量 | 平均值 | 标准差 | 最小值 | 中值 | 最大值 | 系数变化范围 |
|---|---|---|---|---|---|---|
| 截距 | -0.016 | 0.145 | -0.285 | -0.046 | 0.725 | -0.285~0.725 |
| 银行* | 0.043 | 0.074 | -0.237 | 0.030 | 0.522 | -0.237~0.522 |
| 公交站点* | 0.075 | 0.052 | -0.022 | 0.064 | 0.306 | -0.022~0.306 |
| 购物中心* | 0.097 | 0.223 | -0.936 | 0.077 | 1.361 | -0.936~1.361 |
| 餐馆* | 0.195 | 0.192 | -0.184 | 0.151 | 1.998 | -0.184~1.998 |
| 杂货店* | 0.012 | 0.043 | -0.111 | 0.008 | 0.170 | -0.111~0.170 |
| 学校* | 0.030 | 0.207 | -0.329 | 0.011 | 2.547 | -0.329~2.547 |
| 酒吧* | 0.016 | 0.027 | -0.035 | 0.023 | 0.059 | -0.035~0.059 |
| 酒店 | 0.142 | 0.228 | -0.041 | 0.061 | 1.150 | -0.041~1.150 |
| 公园 | -0.006 | 0.001 | -0.008 | -0.006 | -0.003 | -0.008~-0.003 |
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