Apart from conventional statistics, are there any other spatial statistics?
There is a software who make simple producing all general statistics, but also specific graphs.
https://www.originlab.com/Origin
Good luck
In ArcGIS there is a a Geospatial Analyst. This can do interpolation and krigging as well as some statistics. See if that would help.
Have you ever implemented HEC-RTS model? Were you able to make it run successfully?
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