Constructing the Spatial Weights Matrix Using a Local Statistic

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Estimation of the Spatial Weights Matrix under Structural Constraints (2013, methodology): “Getis and Aldstadt (2004) use a local dependence statistic, while Aldstadt and Getis (2006) developed a multidirectional optimum eco-type-based algorithm.”
Spatial Dependence, Housing Submarkets, and House Price Prediction (2007, background): “Many choices for specifying the weight matrices are available in the literature (see Getis and Aldstadt 2004, for a review), but some of them show only small practical differences, such as the results in Militino et al. (2004).”
Spatializing the Social Networks of Gangs to Explore Patterns of Violence (2011, background): “However, in keeping with the advice of Getis and Aldstadt (2004: 91) , we feel that the best approach is by using a combined matrix that is grounded in the empirical reality of a two-part spatial structure, one that captures distance effects (Wg) and one that captures effects that are relatively in”
Spatial Statistics in ArcGIS (2010, background): “The conceptual model is an integral component of spatial modeling and should be selected so that it best represents the structure of spatial dependence among the features being analyzed ( Getis and Aldstadt 2004 ).”