It probably cannot be recreated exactly. However, something like it could be done using the
Patern along path path effect.
here is what I would do:
1) create several (very) small rectangles, the same thickness as you want the line. copy them a couple of times
2) use the align and distribute dialogue to create a strait line with appropriate amounts of bumps from those rectangles
3) Do path -> Union to make the rectangles one object
5) draw the 'original paths'
6) use the pattern along path, with "repeated stretched" selected