I'm looking for an effective way to measure changes in spatial location in a time series data set (whether an observation repeats in the same location between successive time-steps, or if it shifts and by how much).
What I have is a point file, showing the presence/absence of a species in four stages, in study region A. I have a similar dataset for four other regions (B-D). I am looking for an approach to measure how much movement there is in region A over the four time-steps, and if this is greater, lesser, or equal to comparable movements in regions B-D. Each region can be run as a separate analysis.
I am using ArcGIS (10.1 and 10.2), as well as GME. I don't find any out of the box solution to what I'm trying to show. The closest is to use a summary measure of point-distance. The closest theoretical approach I have found is Colwell's (1974) concept of temporal/spatial constancy, used in Ecology.
If anyone has suggestions or knows of a tool in ecological modeling for measuring constancy, this would be very helpful.