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Spatial autocorrelation and spatial interaction are two important analyticalprocesses for geographical analyses. However, the internal relations betweenthe two types of models have not been brought to light. This paper is devotedto integrating spatial autocorrelation analysis and spatial interactionanalysis into a logic framework by means of Getis-Ord's indexes. Based onmathematical derivation and transform, the spatial autocorrelation measurementsof Getis-Ord's indexes are reconstructed in a new and simple form. A finding isthat the local Getis-Ord's indexes of spatial autocorrelation are equivalent tothe rescaled potential energy indexes of spatial interaction theory based onpower-law distance decay. The normalized scatterplot is introduced into thespatial analysis based on Getis-Ord's indexes, and the potential energy indexesare proposed as a complementary measurement. The global Getis-Ord's indexproved to be the weighted sum of the potential energy indexes and the directsum of total potential energy. The empirical analysis of the system of Chinesecities are taken as an example to illustrate the effect of the improved methodsand measurements. The mathematical framework newly derived from Getis-Ord'swork is helpful for further developing the methodology of geographical spatialmodeling and quantitative analysis.

New Framework of Getis-Ord's Indexes Associating Spatial Autocorrelation with Interaction