2019
DOI: 10.1007/s10109-019-00299-x
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Operational local join count statistics for cluster detection

Abstract: This paper operationalizes the idea of a local indicator of spatial association (LISA) for the situation where the variables of interest are binary. This yields a conditional version of a local join count statistic. The statistic is extended to a bivariate and multivariate context, with an explicit treatment of co-location. The approach provides an alternative to point pattern based statistics for situations where all potential locations of an event are available (e.g., all parcels in a city). The statistics a… Show more

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Cited by 68 publications
(62 citation statements)
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“…Whereas the bivariate local Moran's I accommodate continuous variables measured within areas (i.e. crime rate), bivariate and multivariate joint count statistics have been proposed by Anselin and Xun (2019) to assess the coclustering of two or more binary variables for data that exhibits in-place co-location, or where both variables can have a value of one in a given area, and data that does not exhibit in-place co-location, or where only one of the variables can have a value of one in a given area.…”
Section: Multivariate Cluster Detectionmentioning
confidence: 99%
“…Whereas the bivariate local Moran's I accommodate continuous variables measured within areas (i.e. crime rate), bivariate and multivariate joint count statistics have been proposed by Anselin and Xun (2019) to assess the coclustering of two or more binary variables for data that exhibits in-place co-location, or where both variables can have a value of one in a given area, and data that does not exhibit in-place co-location, or where only one of the variables can have a value of one in a given area.…”
Section: Multivariate Cluster Detectionmentioning
confidence: 99%
“…Most discussions of the law similarly seem to be couched in settings that deal with a single variable. Whereas it is straightforward to generalize the concept of “near” to non‐geographic spaces, such as network spaces (e.g., Sui 2004), it is far more challenging to move the notion of “related” from the univariate to a multivariate context (e.g., witness the difficulties in formulating a multivariate spatial autocorrelation coefficient, as reviewed in Anselin 2019, among others). In this article, we take the perspective that “related” is nothing but a different concept of “near,” but situated in attribute space.…”
Section: Introductionmentioning
confidence: 99%
“…In this article, we take the perspective that “related” is nothing but a different concept of “near,” but situated in attribute space. As in Anselin (2019), we exploit the notion of distance between observations in multivariate attribute space to characterize “related.” Along the same lines, Tobler (2004) also suggested that the principle behind multidimensional scaling “equates similarity with distance,” but we go beyond this context and apply the measure of distance to the attribute space itself as well. In essence, then, Tobler’s law in a multivariate context boils down to assessing the extent to which nearness in geographic space matches nearness in multivariate attribute space, or, equivalently, whether geographic neighbors are also attribute neighbors.…”
Section: Introductionmentioning
confidence: 99%
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“…Spatial autocorrelation (analysis of the distribution of MLL incidence across the region) took place using the Moran's I statistic [30], which assesses the degree to which similar values in a dataset correspond with similar locations, therefore identifying the degree of clustering of similar data across the whole dataset. This 'global' analysis is complemented by a Local Indicators of Spatial Association (LISA) analysis, in which the Local Moran's I statistic [31] is calculated in order to decompose the global autocorrelation into local clusters of similar values (e.g. a high value surrounded by several other high values) and outliers (e.g.…”
Section: Data Collection and Analysismentioning
confidence: 99%