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International Journal of
            Population Studies                                 Local population changes as a spatial varying multiscale process



            the process of demographic change in Italy from a spatial   shown. The final section draws some conclusions and
            perspective already exist, they usually address a rather   future developments.
            large geographic scale. A few studies that have referred to
            a local scale (i.e., at municipality level) have used mainly   2. Data and methods
            explorative approaches. The rare cases that have used a   In the paper, we modeled the yearly average total population
            regression approach are mainly based on a-spatial models   growth rate (TOTPGR) by means of MGWR in function
            or, at most, spatial global models (i.e., spatial autoregressive   of a set of pure demographic determinants (independent
            models). In other words, there is a lack of local multiscale   variables).
            approach in studying demographic changes in Italy.
                                                                 These are:
              To fill this gap, and based on these premises, this paper
            proposes a study on population change at the local level   •   Yearly average natural population growth rate
            (municipality) using a multiscale approach: Multiscale   (NATPGR),
            geographically weighted regression (MGWR hereafter)   •   Yearly average internal migratory population growth
            recently proposed by Oshan  et al. (2019). This class of   rate (MIGPGR),
            model has been recently used in several studies regarding   •   Yearly average international migratory population
            different issues like COVID-19 fully vaccinated rates (Yang   growth rate (INTPGR),
            et al., 2022a), opioid use disorders  in older populations   •   Yearly average of Italian population growth rate
            (Yang  et al., 2022b), and mortality (Cupido  et al., 2021;   •   (ITAPGR), and
                                                                  Yearly average of foreign population growth rate
            Song et al., 2021) and has proved to be extremely useful to   (FORPGR).
            grasp the multiscale nature of population spatial processes.
            However, quite surprisingly, to the best of our knowledge,   The variables refer to the Italian municipalities
            no application to Italy has been made. This is paradoxical if   (7,904 cases) and cover the period 2011 – 2019. They have
            we bear in mind that the demographic and socio-economic   been standardized to a Z distribution so that their mean is
            processes in Italy are deeply interested in spatial divides   equal to zero (μ = 0) and their standard deviation is equal
            and spatial  dependence  processes (Benassi &  Naccarato,   to one (σ = 1).
            2017; Reynaud & Miccoli, 2018; Reynaud  et al., 2018;   In the analysis and the interpretation of the multiscale
            Caltabiano et al., 2019; Zambon et al., 2020). Indeed, on   regression results, we follow the approach of Yang et al.
            a local scale, the heterogeneity of demographic dynamics   (2022a;  2022b)  in  which  three  multiscale  dimensions  of
            increases significantly, especially with regards to the drivers   spatial process are defined:
            of changes. Migrations (both internal and international)
            play a key role in such changes since the natural growth   •   Level of influence, the percentage of population
            is negative (or at most equal to zero) almost everywhere.   affected by a certain determinant across the entire area;
            The determinants of the capacity of a municipality to   •   Scalability, the spatial process of a determinant into
            attract people (both from other Italian municipalities   global, regional, and local process; and
            and/or abroad) are many: Spanning from the opportunity   •   Specificity, the determinant that has the strongest
            of finding a job, which is typically higher in urban areas   association with the yearly average total population
            located  in  the  north  and  the  center  part  of  Italy,  to  the   growth rate.
            level of accessibility to services and infrastructures, which   These dimensions are evaluated in relation to each
            remains nowadays very low in many areas of the country,   independent variable (Key findings section).
            especially, mountainous and inland areas, and from many   Population data used are based on the intercensal
            other factors related for example the presence of certain   reconstruction of resident population and are provided by
            services (in particular primary school) that had proven to   the Italian National Institute of Statistics (Istat). Basically,
            be crucial to counteract depopulation processes (Benassi   they refer to stocks (resident population at a given time)
            et al., 2021; 2023).                               and flows (births, deaths, emigrations, and immigrations

              The main goals of the paper are straightforward: (i)   occurred in a given period) of resident population (Italians
            Identifying what demographic determinants govern the   and foreigners). The period refers to 2011 – 2019.
            process of local population change in Italy; (ii) verifying if   The local dimension of the study lies both in the
            these determinants are spatially constant or not; and (iii) if   regression  approach  used  (MGWR,  that  is  a  local
            their effects vary at different geographical scale.
                                                               regression approach) and,  therefore, in  the  statistical
              The paper is structured as follows: In the next section,   units adopted. Indeed, our statistical units are the Italian
            data and methods are described, and then results are   municipalities. Municipalities, local administrative units


            Volume 9 Issue 1 (2023)                         2                          https://doi.org/10.36922/ijps.393
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