id author title date pages extension mime words sentences flesch summary cache txt cord-167454-ivhqeu01 Battiston, Pietro COVID-19: $R_0$ is lower where outbreak is larger 2020-04-16 .txt text/plain 4524 201 51 Specifically, we employ daily data on the number of individuals positive to COVID-19 at the municipality level, focusing on a period in which the entire country was subject to a lockdown. Note: fit between data and the corresponding SIR model for Lombardy region (left) and the most affected municipalities at the beginning of our period of interest in absolute and per capita terms, respectively (center, right). In order to shed light on this indeterminacy, we proceed to simulating the SIR model for each municipality until the predicted size of the infected population decreases below either (i) 0.1 cases for one thousands inhabitants or (ii) 0.1 cases 6 and we consider the number of periods elapsed as the outbreak duration. We show that in Lombardy, during a lockdown, the basic reproduction number for COVID-19 reacts negatively to the initial size of an outbreak at the municipality level, an effect which cannot be explained by the population having reached herd immunity. ./cache/cord-167454-ivhqeu01.txt ./txt/cord-167454-ivhqeu01.txt