Is InVEST considered a big data tool?
i.e., can InVEST process large and complex data sets? Is there a limit to the data sets?
I would say yes 
We design InVEST to run on arbitrarily large data. All raster data is processed one block at a time, so the whole file does not need to fit into memory. Many models have been run successfully on global datasets. Of course, depending on the data and your computer this could take many hours or days.
If you encounter an issue running InVEST on a large dataset, such as running out of memory, please let us know so we can resolve it!
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