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



                                                               2020; Raymer et al., 2019; Voss, 2007; Weeks, 2016) and
                                                               the need to use appropriate spatial methodologies in
                                                               population-based studies, i.e., considering space in the
                                                               analysis (Chi & Zu, 2008; Matthews, 2019; Matthews &
                                                               Parker, 2014; Weeks, 2004). In this general framework, a
                                                               crucial variable is the scale of analysis (Burillo et al. 2020;
                                                               Oshan et al. 2022).

                                                                 In this study, we showed that this is particularly true
                                                               for Italy and its local demographic dynamics but with
                                                               two major additions: the spatial varying relationships and
                                                               multiscale nature of these relationships. In our view, this
                                                               proves the spatial complexity of demographic changes in
                                                               Italy and the need for measuring demographic processes
                                                               without a constant scale approach.
            Figure 3. Specificity for ITAPGR, NATPGR, and MIGPGR (a)  Indeed, it can be misleading if modeling the spatial
            Note: (a)In brackets the  number  of municipalities.  ITAPGR:  Yearly   demographic process is without considering the spatial
            average of Italian population growth rate, NATPGR: Yearly average   dimension (classic OLS model), without considering local
            natural population growth rate, and MIGPGR: Yearly average internal   dimensions – such as, spatial global regression models like
            migratory population growth rate.
            Source: Authors’ elaboration on Istat data.        spatial lag model, spatial error model, and spatial Durbin
                                                               model – or without a multiscale framework (classic GWR
            of municipalities that the focal variable has the strongest   model).
            significant impact on the dependent variable, TOTPGR   At least, the case for Italy for the period 2011 – 2019
            (Yang et al., 2022a; 2022b).                       as this paper clearly proves it. We argue that the results
              Multiscale results with the three dimensions are presented   achieved provide new insights into the importance of
            in Table 2. They are quite interesting because they prove the   treating the population process as spatial phenomena and
            relevance to modeling population growth not only as a spatial   in particular as local and multiscale (spatial) phenomena.
            process but, most of all, as local spatial varying process. In   The achieved results also have relevance in terms of policy
            particular, we can see – column (a) – that each independent   implications. In Italy, as in other parts of Europe, there are
            variable plays primary level of influence on the dependent   vast areas of land in systematic depopulation (shrinking
            variable (TOTPGR). Therefore, the local importance of each   regions) (Klingholz, 2009), a real challenge for territorial
            covariate is high. Moreover, all the independent variables prove   planners and policy makers. Adopting this type of model
            to be local determinants in terms of scalability so that their   (MGWR)  allows  the  depopulation phenomenon to  be
            effects have to be detected at local level. In terms of specificity,   modeled locally by identifying the radius of influence of
            we can appreciate a quite high heterogeneity between the   the different explanatory variables and thus enabling the
            dependent variables. ITAPGR records the highest specificity   territorial calibration of policies to counter it.
            while INTPGR and FORPGR presents no specificity.
                                                               Acknowledgments
              The  map of  specificity  in  Figure  3  reveals  different
            spatial patterns for the three variables that prove to have   The authors would like to thank the two anonymous
            a specificity effect, namely, ITAPGR, NATPGR, and   reviewers and the editor for their suggestions, which
            MIGPGR. In particular, we can observe how the effect of   helped to improve the paper significantly.
            ITAPGR involves much more municipalities than the other   Funding
            two. Most of them are located in the southern Italy but also
            in the north-east area. The NATPGR specificity cover the   None.
            central part of Italy and the north-west too. Finally, the   Conflict of interest
            MIGPGR  local  specificity distribution covers few  areas
            that are almost located in the northern part of Italy.  The authors declare that they have no competing interests.
            4. Concluding Remarks                              Author contributions

            In recent years, many papers have underlined the intrinsic   Conceptualization: Federico Benassi, Gerardo Gallo
            spatial nature of demography (De Castro, 2007; Gu et al,   Investigation: Federico Benassi


            Volume 9 Issue 1 (2023)                         7                          https://doi.org/10.36922/ijps.393
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