Weld individual line segments into one LineString using Shapely

You can use shapely's ops.linemerge to accomplish this:

from shapely import geometry, ops

# create three lines
line_a = geometry.LineString([[0,0], [1,1]])
line_b = geometry.LineString([[1,1], [1,0]])
line_c = geometry.LineString([[1,0], [2,0]])

# combine them into a multi-linestring
multi_line = geometry.MultiLineString([line_a, line_b, line_c])
print(multi_line)  # prints MULTILINESTRING ((0 0, 1 1), (1 1, 2 2), (2 2, 3 3))

# you can now merge the lines
merged_line = ops.linemerge(multi_line)
print(merged_line)  # prints LINESTRING (0 0, 1 1, 2 2, 3 3)

# if your lines aren't contiguous
line_a = geometry.LineString([[0,0], [1,1]])
line_b = geometry.LineString([[1,1], [1,0]])
line_c = geometry.LineString([[2,0], [3,0]])

# combine them into a multi-linestring
multi_line = geometry.MultiLineString([line_a, line_b, line_c])
print(multi_line)  # prints MULTILINESTRING ((0 0, 1 1), (1 1, 1 0), (2 0, 3 0))

# note that it will now merge only the contiguous portions into a component of a new multi-linestring
merged_line = ops.linemerge(multi_line)
print(merged_line)  # prints MULTILINESTRING ((0 0, 1 1, 1 0), (2 0, 3 0))

I think you could do it with Shapely using shapely.ops.linemerge() method.

It looks like it could take a list of lines as input and merge them. I used the 'polygonize' method before and it does take a list of lines.

Take a look at the doc here: http://toblerity.org/shapely/manual.html#shapely.ops.linemerge