I have a situation where I am monitoring events at 50 or so geographical sites in a town and at each of these sites, I am making measurements regarding the count of certain particles (so the measurements are discrete). The measurements are done every 5 minutes and we have been monitoring these sites for many months now.
Now, what I am interested in is spatiotemporal interpolation and extrapolation i.e. be able to forecast these counts at the sites say 15 minutes in the future at these sites (and perhaps also in their vicinity).
As far as I understand it, this is equivalent to fitting some sort of a function where the output depends on the spatial and temporal coordinates. I am at a complete loss on how I can do something like this in the sense of how to model this discrete output and the spatiotemporal aspect.
I have played a bit with time series analysis but that has always been predicting a continuous output which is only a function of time.
Does anyone know of any toolkits I can use for just trying some pre-made models on my data? I do not want something latest and greatest, even a "simple" model would do! I just want to see what it would generate on our data as a first step.