2018
DOI: 10.1111/gean.12164
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A Local Indicator of Multivariate Spatial Association: Extending Geary's c

Abstract: This paper extends the application of the Local Geary c statistic to a multivariate context. The statistic is conceptualized as a weighted distance in multivariate attribute space between an observation and its geographical neighbors. Inference is based on a conditional permutation approach. The interpretation of significant univariate Local Geary statistics is clarified and the differences with a multivariate case outlined. An empirical illustration uses Guerry's classic data on moral statistics in 1830s Fran… Show more

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Cited by 182 publications
(153 citation statements)
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References 49 publications
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“…We attempted to analyze local spatial autocorrelation in a multivariate context with the PCA data using Geary's C [67]. Anselin [67,68] extends the application of the local Geary C statistic to a multivariate context based on PCA components, where statistical inference is estimated using a conditional permutation approach. Geary's C calculation is similar to Moran's I.…”
Section: Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…We attempted to analyze local spatial autocorrelation in a multivariate context with the PCA data using Geary's C [67]. Anselin [67,68] extends the application of the local Geary C statistic to a multivariate context based on PCA components, where statistical inference is estimated using a conditional permutation approach. Geary's C calculation is similar to Moran's I.…”
Section: Methodsmentioning
confidence: 99%
“…Table 2 shows the PCA 1 and 2 loadings which account for the variance. We employ local Geary's C in a multivariate setting, as described by Anselin [68] to compare geographical neighbors with neighbors in multi-attribute space. We map the first PCA in Figure 7a using natural breaks to show distribution.…”
Section: Spatial Analysis Of Social Demographics Housing and Behavmentioning
confidence: 99%
“…Finally, in cases where no association seems to exist between a location and nearby locations, the data exhibit zero spatial autocorrelation. Spatial autocorrelation can be measured both globally (for the entire dataset) and locally (for neighborhoods) [37]. Global indices estimate spatial autocorrelation by a single value for the entire study area, whereas local spatial autocorrelation indices calculate the value of the index for each single location.…”
Section: Methodsmentioning
confidence: 99%
“…The optimal fixed distance band is observed at 444,633.46 m (first peak in Figure 2) with a statistically significant z-score and a Moran's I index value of 0.34. An index score larger than 0.3 is an indication of strong positive autocorrelation [37]. For more meaningful results 450 km is retained as the optimal fixed distance band for this analysis, which is a plausible distance to form neighborhoods (needed for spatial statistics) at the NUTS 2 regional level.…”
Section: Setting the Neighborhood Size: Incremental Spatial Autocorrementioning
confidence: 99%
“…Land-use change factors, as a comprehensive reflection of human activities and one of the key features of these hotspot cities, were used to further explore the changes and uncertainties related to the local highresolution spatiotemporal patterns of China's FFCO 2 emissions. Here we introduce the local Geary c i a univariate statistic, but instead apply it to a multivariate context (Anselin 2019). The long-term series 300 m spatial resolution LC images consistent with the 22 IPCC classes benefits data exploration between LC and FFCO 2 emissions by using a multivariate statistic.…”
Section: Multivariate Local Gearymentioning
confidence: 99%