Table 2.

Total deaths over population (per 10 000 inhabitants) — 3 clusters memberships.

	Region	Model with no spatial penalty ($\gamma =0$)			Model with spatial penalty ($\gamma ={\gamma }_{opt}$)
		Piedmont	Veneto	Campania	Trentino–South Tyrol	Lazio	Calabria
1	Piedmont	1.000	0.000	0.000	0.956	0.023	0.021
2	Aosta Valley	0.452	0.280	0.267	0.563	0.218	0.218
3	Lombardy	0.433	0.287	0.281	0.812	0.094	0.094
4	Trentino–South Tyrol	0.496	0.480	0.024	1.000	0.000	0.000
5	Veneto	0.000	1.000	0.000	0.975	0.014	0.011
6	Friuli-Venezia Giulia	0.005	0.988	0.006	0.850	0.095	0.055
7	Liguria	0.997	0.002	0.001	0.834	0.097	0.070
8	Emilia-Romagna	0.997	0.002	0.001	0.846	0.093	0.061
9	Tuscany	0.042	0.606	0.352	0.194	0.708	0.097
10	Umbria	0.002	0.008	0.990	0.004	0.990	0.007
11	Marche	0.165	0.744	0.091	0.173	0.748	0.079
12	Lazio	0.001	0.005	0.994	0.000	1.000	0.000
13	Abruzzo	0.046	0.621	0.333	0.011	0.978	0.011
14	Molise	0.001	0.003	0.997	0.000	1.000	0.000
15	Campania	0.000	0.000	1.000	0.001	0.997	0.002
16	Apulia	0.001	0.002	0.998	0.001	0.998	0.001
17	Basilicata	0.000	0.000	1.000	0.042	0.744	0.215
18	Calabria	0.004	0.007	0.989	0.000	0.000	1.000
19	Sicily	0.037	0.923	0.040	0.563	0.298	0.139
20	Sardinia	0.013	0.018	0.969	0.000	0.001	0.999