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I am trying to figure out flow direction for a stream network and I do not have a high resolution DEM data for the same. I only have information about the stream orders and the network itself. Is there a way to figure out the flow direction based on stream-order connectivity as an inbuilt function?

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I'm not sure of ways to do that without a DEM, however depending on the size of the project extent I would consider downloading a DEM from the SRTM site and running your analysis on that. The resolution will be approximately 30 meters but its better than not having a DEM

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