How to create an autocovariate in ArcGIS for use in autologistic regression model

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I am trying to create an autocovariate variable for use in an autologistic regression.

I have a GIS point Shapefile of the response variable, in binary form for presence/absence of a plant species. I also have a raster depicting the predicted probability of occurrence of this species, which consists of probabilities ranging from 0 to 0.100, and was created using a binary logistic regression. The raster cell size is 1(m).

Augustin et al. (1996) described how to create an autocovariate variable, however I don’t understand how to apply it to my situation.Can anyone tell me how to implement the following formula in ArcGIS, using the data I’ve described above? (or at least some indication of how to type this formula as a code rather than statistical notation..)



Excerpt from: Augustin, N. H. et al. 1996. An autologistic model for the spatial distribution of wildlife. J. Appl. Ecol. 33: 339-347.

Thanks in advance to anyone who can help.



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