In this paper, we aim to identify the impact of lockdown measures on the air concentrations of three pollutants in Italian provinces. To investigate these relationships, we estimated several versions of the following baseline equations:
$$Pollutant_{p,t} = \alpha + \beta Treatment_{pt} + \delta_{t} + \gamma_{p} + {\text{f}}\left( {{\text{trend}}} \right) + \varepsilon_{p,t}$$
(1)
$$Pollutant_{p,t} = \alpha + \beta Measure_{pt} + \delta_{t} + \gamma_{p} + {\text{f}}\left( {{\text{trend}}} \right) + \varepsilon_{p,t}$$
(2)
where the \(Pollutant_{p,t}\) represents the average weekly air concentration at province level expressed in terms of mg/m3 of one of the following pollutants: PM10, PM2.5 and NO2. Our treatment in Eq. (1) is represented by the indicator variable \(Treatment_{p,t}\), which takes value equal to 1 after the introduction of shelter-in-place policy (i.e. the complete halt of all non-essential production) in Italian province p and value equal to 0 before the implementation of the lockdown.
Our treatment in in Eq. (2) is represented by the categorical variable Measurep,t, which shows the degree of restrictions imposed by measures implemented in province p at time t. It takes the value 0 before the outbreak of the disease and a value between 1 and 5 after the implementation of lockdown measures. The degrees of restrictions imposed by the measures take the following incremental values: (1) social distancing is encouraged with no compulsory restrictions; (2) public events are banned; (3) schools and theatres are closed; (4) lockdown is ordered; (5) further restrictions on all non-essential production.
Measure of the severity of the restrictions
In this paper, we consider five levels of lockdown intensity, ranging from suggested social distancing, which was first encouraged for people living in Lombardy and Veneto, to the complete halt of all non-essential production. The definition of the “Measure” variable relies on the timeline of the restrictions occurred in Italy from February 24th until May 4th described in the “Appendix”. Specifically, the variable \(Measure_{p,t}\) takes a value of 1 when social distancing was encouraged (no compulsory restrictions). On 21 February, public events were banned and schools closed in 10 cities within the provinces of Lodi and Piacenza in Lombardy. In our regression, the variable Measure takes a value of 3 for these provinces and a value of 1 for other provinces.Footnote 6 On the following day, these two provinces and one province in the Veneto region were pronounced red zones and a complete lockdown was implemented. Public events were also banned in all provinces in Lombardy. In our regression, the variable Measure takes a value of 4 for Lodi and Piacenza starting from 23 February and a value of 3 for all other provinces in Lombardy. On 25 February, public events (including sport) were banned and schools and universities closed in five Italian regions, namely Emilia-Romagna, Friuli-Venezia Giulia, Veneto, Piemonte and Liguria.Footnote 7 In our regression, the variable Measure takes a value of 4 for the provinces of those regions too. On 1 March, the ban on all public events was extended to the entire Italian territory.Footnote 8 On 4 March, the closure of public schools was also extended to all Italian regions. Our variable Measure, therefore, takes a value of 4 for all Italian provinces starting from 4 March. On 5 March, a shelter-in-place order was issued for the region of Lombardy and 14 provinces in the north of Italy, namely Modena, Parma, Piacenza, Reggio nell’Emilia, Rimini, Pesaro e Urbino, Alessandria, Asti, Novara, Verbano-Cusio-Ossola, Vercelli, Padova, Treviso and Venezia. In our regression, the variable Measure takes a value of 5 for those provinces. Finally, the complete lockdown was extended to all Italian regions on 11 March.Footnote 9
The dummy variables \(\delta_{t} {\text{ and }}\gamma_{p}\) indicate full sets of week-of-the-year- and province-specific fixed effects. These variables are of paramount importance because they capture week-specific regularities and time-invariant characteristics at the province level. \(\varepsilon_{t,p}\) is an IID error term, such that, using the panel least squares estimator, we retrieve an estimate for parameter β that measures the impact of lockdown measures and intensity on pollution concentrations. It should be noted that in several specifications of Eq. (1), we include province-specific quadratic time trends—the function f(trend) in Eq. (1)—to account for possible local temporal trends in the concentration of pollutants.
Equation (1) is estimated using data from the European Environmental Agency (EEA) on 71 provinces for the period 2014–2020. Table 1 presents the descriptive statistics for the main outcome variables, which are the air concentrations of PM10, PM2.5 and NO2. The concentrations of PM10 and PM2.5 were slightly reduced, and a more substantial reduction in NO2 concentrations was observed.
Table 1 Summary statistics Testing for existing trends
In this section we test for the common trend assumption of the dependent variables (i.e. levels of air pollutants in the air) for each of the 71 Italian provinces. The common trend test is performed through the estimation of a panel regression including leads and lags.
Hence the following equation is estimated:
$$Pollutant_{p,t} = \alpha + \mathop \sum \limits_{k = t - 5}^{t + 2} \beta_{k} D_{p,k} + \delta_{t} + \gamma_{p} + {\text{f}}\left( {{\text{trend}}} \right) + \varepsilon_{p,t }$$
where \(D_{p,k}\) are dummy variables which correspond to each of the moths before and after the policy is introduced; Specifically, k takes value equal to 0 in the last week prior to the introduction of the policy for each specific Italian province (i.e. 15–22 February 2020) and it ranges from -5 (5 weeks prior to lockdown) to + 2. The \(\beta_{k}\) coefficients explain the average pollution levels in the weeks prior to the lockdown and after the latter has taken effect. This fixed effect estimation allows us to check for the existence of a preexisting time trend before the intervention of the Italian government to limit the spread of covid-19. Figs. 1, 2 and 3 show graphically the eventual existence of a common trend.