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Trace Bitmap may prove not to be the best approach, if you need precision for this map. If "close enough" will do, and you can start with a very large original map, you can get a better trace. Somehow, and I can't tell you exacly,
I think you can use a raster editor to create the large version. But someone else will have to explain that exactly.
Otherwise, if you need a very precise trace, and/or single paths, you'll need to do a manual trace. For the map you've shown us, it shouldn't be very hard. An Inkscape beginner can do it. Although if you need to do multiple different maps, it will be an investment of time.
First import the map. You'll probably get along better with the Pen/Bezier tool, although if you have a very steady mouse hand, the Pencil/Freehand tool might work just as well. You may well figure out those tools on your own, or you can consult the manual and/or the info in my forum signature. And please feel free to ask us questions! It seems that some people can't quite figure it out, so I wrote a detailed tutorial a while ago
viewtopic.php?f=6&t=13037If you'd like to keep the original in the same file with the drawing, you can add a new layer, move the original to it, then hide it
