Testing for Local Spatial Autocorrelation in the Presence of Global Autocorrelation

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Comparative Spatial Filtering in Regression Analysis (2002, methodology): “It is directly related to the type of spatial autocorrelation (association) measured in the various G and O (Ord and Getis 2001) statistics.”
Spatial statistics for urban analysis: A review of techniques with examples (2004, background): “…of local spatial effects, two local statistics of spatial association have received considerable attention in the last 10 years: the Getis and Ord family of G i (d) statistics (Getis and Ord, 1993; Ord and Getis, 1995, 2001 ) and Anselin's LISA (Local Indicators of Spatial Association ; 1995).”
A General Framework for Estimation and Inference of Geographically Weighted Regression Models: 1. Location-Specific Kernel Bandwidths and a Test for Locational Heterogeneity (2002, background): “The problem in the case of spatial data is that the tests are likely to be highly dependent, as discussed by Ord and Getis (1995; 2001) and Anselin (1995) in the context of local statistics of spatial association.”