Souris Marc auteur aut IRD Demoraes F. auteur aut IRD text journalArticle eng text/pdf reformatted digital access In a point set in dimension superior to 1, the statistical distribution of the number of pairs of points as a function of distance between the points of the pair is not uniform. This distribution is not considered in a large number of classic methods based on spatially weighted means used in spatial analysis, such as spatial autocorrelation indices, kernel interpolation methods, or spatial modeling methods (autoregressive, or geographically weighted). It has a direct impact on the calculations and the results of indices and estimations, and by not taking into account this distribution of the distances, spatial analysis calculations can be biased. In this article, we introduce a spatial standardization, which corrects and adjusts the calculations with respect to the distribution of point pairs distances. As an example, we apply this correction to the calculation of spatial autocorrelation indices (Moran and Geary indices) and to trend surface calculation (by spatial kernel interpolation) on the results of the 2017 French presidential election. specialized spatial analysis spatial autocorrelation spatial modeling spatial kernel interpolation standardization SD-correction 128 020 8 4 art. 199 [11 p.] 2019 2220-9964 https://www.documentation.ird.fr/hor/fdi:010075715 10.3390/ijgi8040199 2220-9964 [F B010075715] https://www.documentation.ird.fr/hor/fdi:010075715 https://horizon.documentation.ird.fr/exl-doc/pleins_textes/divers19-06/010075715.pdf IRD - Base Horizon / Pleins textes 2019-07-05 2025-02-24 fdi:010075715 fre