摘要：The control of Covid 19 epidemics by public health policy in Italy during the first and the second epidemic waves has been driven by using reproductive number R
t(t) to identify the
supercritical (percolative), the
subcritical (arrested), separated by the
critical regime. Here we show that to quantify the Covid-19 spreading rate with containment measures there is a need of a 3D expanded parameter space phase diagram built by the combination of R
t(t) and doubling time T
d(t). In this space we identify the Covid-19 dynamics in Italy and its administrative Regions. The supercritical regime is mathematically characterized by (i) the power law of T
d vs. [R
t(t) − 1
