Statistical and network-based analysis of Italian COVID-19 data: communities detection and temporal evolution

Marianna Milano; Mario Cannataro

In this section, we analize the evolution of communities over a period of time. We consider three different temporal zoom: at the end of the fist week, after three weeks and in the observation period. Figure 13 reports the evolution of Hospitalised with Symptoms Network Communities. At the end of three weeks, Venezia that represents a community in the previous week, moves in another community, whereas Emilia leaves the community with Marche and becomes a single community, also some re-gions migrate from fifth and sixth communities to other communities. So, Figure 13 (b) reports the five extracted communities after three weeks: (i) Lombardia, (ii)Emilia, (iii)Veneto, Marche, Piemonte, Liguria, Toscana, Lazio, (iv) Trento, Bolzano, Abruzzo, Friuli, Sicilia, Puglia, (v)Campania, Umbria, Sardegna, Calabria, Molise, Valle d'Aosta, Basilicata. Finally, Figure 13 (c)reports five communities in the observation period: the first one consists of Basilicata that leaves the previous community and becomes a single one; the second one is composed by Piemonte, Marche, Emilia, Lombardia, Veneto; the third one is composed by Liguria, Lazio, Toscana; the fourth one is formed by Campania, Puglia, Sicilia, Abruzzo, Valle d'Aosta, Friuli, Trento, Bolzano; the last one is composed by Umbria, Sardegna, Calabria, Molise. After three weeks the number of extracted communities increases, see Figure 14 Figure 15 reports the evolution of Total Hospitalised Network Communities. Figure 15 (a) shows the five mined communities. The fist community is composed by Liguria, Toscana, Piemonte, the second one is formed Sardegna, Umbria, Calabria, Basilicata, Valle d'Aosta, Friuli, Trento, Molise; the third module comprises Lazio, Campania, Sicilia, Abruzzo, Bolzano, Puglia; the forth community is represented by Marche, Emilia; the fifth is represented by Lombardia and the last one consists of Veneto.