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




                                                               Table 2. Three dimensions of multiscale spatial process for
                                                               each independent variable based on the MGWR models
                                                                Variable    Level of     Scalability (b)  Specificity (c)
                                                                (bandwidth)  influence (a)
                                                               NATPGR (361)  Primary (7,527)  Local  2,511 (31.8%)
                                                               MIGPGR (161)  Primary (7,527)  Local  326 (4.1%)
                                                               INTPGR (170)  Primary (7,423)  Local   0 (0.0%)
                                                               ITAPGR (78)  Primary (7,783)  Local  5,067 (64.1%)
                                                               FORPGR (202)  Primary (7,800)  Local   0 (0.0%)
                                                               Note: The model was adapted from Yang et al., (2022a, 2022b).
                                                               NATPGR (yearly average natural population growth rate), MIGPGR
                                                               (yearly average internal migratory population growth rate), INTPGR
                                                               (yearly average international migratory population growth rate),
            Figure 1. Yearly average total population growth rate per 1000 (TOTPGR)   ITAPGR (yearly average of Italian population growth rate), FORPGR
            2011 – 2019, Italian municipality                  (yearly average of foreign population growth rate).
            Note: TOTPGR: Yearly average total population growth rate.  (a)   If the variable affects more than 50% the total population it is a
            Source: Author’s elaboration on Istat data.          primary influencer; otherwise (≤50%) it is a secondary influencer.
                                                                 The percentage of municipalities affected by a factor is included in
                                                                 the parentheses.
            Criteria (Fotheringham et al., 2002; Yu et al., 2020). From   (b)   If the bandwidth of a variable is larger than 75% of the global
            a spatial perspective, the bandwidth is an indicator of the   bandwidth, it is a global determinant; if the bandwidth is smaller
            spatial scale over which the processes under observation   than 25% of the global bandwidth, it is a local determinant; if the
            operate. It is interesting to note that the higher bandwidth   bandwidth is between 75% and 25% of the global bandwidth, it is
            is recorded by FORPGR (202) while the lower one by   a regional determinant. Global bandwidth is the total number of
                                                                 municipalities (7,904).
            ITAPGR (78). This means that the spatial scale over   (c)   The number and percentage of municipalities that the focal variable
            which the effect of FORPGR operates on the dependent   has the strongest significant impact on the dependent variable (i.e.,
            variable (TOTPGR) is higher, although it is relatively   the largest absolute value of the standardized coefficients that are).
            small in geographical sense (the total bandwidth, i.e., the
            total number of municipalities is equal to 7904). Results   of Italians (Benassi et al., 2019) and it follows a south to
            of Table 1 provide evidence that the TOTPGR is greatly   north axis, we can infer how relevant is the contribution of
            influenced by local determinants that have different effects   foreign population to the local population changes (Strozza
            at different scales.                               et al., 2016). The map of the local estimation of INTPGR is
              As known, one of the major strong points of local   quite different in terms of intensity from that of NATPGR
            regression models is that we can map the local coefficients   and of MIGPGR. The north still remain the part of Italy
            (Matthews & Yang, 2012). From Figure 2, we can understand   with higher values (the majority of the municipalities
            how space matters. In particular, we can observe how the   located in the north part of the country are classified in the
            strength of the net effect of each local coefficient varies   last two classes of the legend, i.e., >0.300), but the intensity
            across space - where it is statistically significant, in MGWR   of the local coefficients is lower than the one of the first
            model a “specific” adjusted alpha-value and critical t-value   two maps. Interesting to note that among all of these
            are computed for each of the independent variables   first three maps the Sardinia Island does not present any
            (Oshan  et al., 2020)- and the different magnitude of   statistically significant local estimation. The geographies of
            local R-squares. The historical north–south geographical   the local regression coefficients related to the ITAPGR and
            contrast of Italy only partially explains the spatial patterns   FORPGR variables appear partially mirrored each other
            of local coefficients underlying the relevance of local   and, to some extent, help to better understand what has
            scale dimension in measuring the demographic process   emerged so far. The effects are generally more intense for
            (Salvati et al., 2020). The geographical distributions of the   the ITAPGR variable than for FORPGR. However, in both
            local parameters of NATPGR and MIGPGR draw similar   cases, the largest effects occur in central and southern Italy,
            patterns: higher values are recorded in the north and in   where the effects (i.e., local coefficients) of the NATPGR,
            particular in the north-east part of the country. It seems to   MIGPGR, and INTPGR were smaller. In contrast to the
            indicate that local context that act as attractors for internal   Italian component, in the case of foreigners, FORPGR,
            migration flow are the ones where the natural growth is,   particularly small effects are also registered in the north-
            comparatively, higher. If we bear in mind that, usually,   east and, albeit to a lesser extent, in the north-west as well
            the internal mobility of foreigners is higher than the one   as in some specific areas of the south including the islands.


            Volume 9 Issue 1 (2023)                         5                          https://doi.org/10.36922/ijps.393
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