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Intersecting overlapping polylines using ArcGIS for Desktop?

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I have 4 multipart polyline shapefiles (download a sample dataset here).

The geometries are identical, except for the length of segments in each shapefile. They represent 4 variables describing an identical shoreline. From these 4 overlapping polylines, I would like to create a resulting polyline that has segments for each unique set of the 4 input lines.

My approach was to use an intersect. This, however, breaks down when I try to run it on 4 huge feature classes.

My question is whether there is a more efficient way to combine polyline attributes stored in separate layers. I thought a union would be good, but it only works on polygons. Spatial Join seems inefficient, as I would end up with many to many joins for a single segment. Turning the segment end points into a point layer, then splitting the line at those points?

I have access to arcpy, PostGIS, and shapely.

Has anyone had experience doing this before on large datasets? Is there a more efficient way to store these variables?


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