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Data-driven optimization and parameter estimation for an epidemic model





































            Figure 5. Agreement between the smoothed data (solid black line) and the model (dotted blue line) for the
            six most populated vertices (noted in the right corner of each panel).































            Figure 6. Comparison between the model output and the (non-normalized) data. Note the different scales on
            the vertical axes.


            is not directly correlated to edge length, popu-  (Szczecin) are mid-sized metropolitan areas, yet
            lation of incident vertices, or traffic density (see  have a highly populated edge between them; edge
            Figure A12), but rather is a feature of the com-  v 9 − v 13 is a long edge with a higher traffic den-
            plex model system.                                sity than the other edges incident to either v 9 or
                                                              v 13 , indicating that a fairly large proportion of
                We see high population on the edges inci-     the modeled infected population originally from
            dent to v 8 (Warszawa), especially the edge con-  Warszawa was likely redirected to this edge.
            necting it to another highly populated vertex, v 7    To better assess the directionality of these
            ( L´od´z). Vertices v 9 (Gda´nsk & Gdynia) and v 13  spatial dynamics, we analyze the contributions of
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