Except the author adjusted the timelines to match them up. The skirt widths are shifted by 21 years.
Even if you didn't shift the graphs, though, the data would still be striking. It'd likely remind me of a predator-prey graph (e.g. http://www2.estrellamountain.edu/faculty/farabee/biobk/graph... ) which is "easily" modeled with differential equations.