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CPS2179 Giuliana Passamani et al.
            aggregation processes, or as in Plaia, Di Salvo, Ruggeri and Agrò (2013), where
            they  suggest  an  index  based  first  on  a  spatial  aggregation  and  then on  a
            pollutants synthesis.
                Our proposal is to provide a synthetic measure of air pollution in a given
            town/place by means of a stochastic dynamic-factor model where we combine
            the daily measurements of air pollutants with the meteorological conditions,
            taking into account also the pollution measure observed the day before. That
            is, we suggest a multipollutant synthesis based on human-caused and natural
            sources emissions levels and their relationship with meteorological factors and
            with  the  lagged  pollution  level.  Giving  that  meteorological  conditions  can
            change within a distance of some miles, the daily measures for each pollutant
            cannot simply be aggregated over different monitoring sites, but, first of all,
            we must analyse and aggregate different pollutants at the same monitoring
            site for which we have also the corresponding observations on meteorological
            variables. Once the synthetic air pollution measure has been calculated in a
            given  place,  an  aggregated  AQI  could  be  suggested  for  an  entire  area  of
            interest. After these premises we state that the focus in the present paper is
            the proposal of a statistical methodology aiming at evaluating the different
            ambient air qualities in the Province of Trento that covers an almost entirely
            mountain area located in the northern part of Italy. The data set is made up of
            the time series observations relative to three pollutants, particulate matter 10
            (PM10),  nitrogen  dioxide  (NO2)  and  ozone  (O3):  these  are  now  generally
            recognized as the three main pollutants that most significantly affect human
                  1
            health . The pollutants are observed at different monitoring sites located in
            traffic and non-traffic areas. Time series observations of some meteorological
            variables  are  also  available  for  the  same  monitoring  sites.  The  empirical
            analysis is based on a two years' period, 2014-2015.
                The  plan  of  the  paper  is  the  following.  In  Section  2  we  discuss  the
            methodological  approach  and  the  dynamic-factor  model  adopted  for
            analysing the available daily time series dataset. In Section 3 we describe the
            results in terms of the estimated pollution indicator for each site and in Section
            4 we conclude the paper and outline possible lines for further research.

            2.  Methodology
                The principle which is at the basis of a dynamic-factor model is that few
            unobservable dynamic factors drive the co-movements observed in a higher
            dimensional vector  of  endogenous time series variables which can  also be
            affected  by  exogenous  variables,  as  well  as  by  a  vector  of  mean-zero
            idiosyncratic  disturbances.  For  the  purpose  of  our  approach  in  which  we
            assume  the  existence  of  a  single  dynamic  factor  underlying  the  observed


            1  European Environment Agency: https://www.eea.europa.eu/themes/air/intro
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