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International Journal of
            Population Studies                                                     Regional disparities and fertility rates



            Table 3. Correlation between fertility rate and gross regional   it does not account for the net effects of other important
            domestic product (GRDP) inequality indices         determinants.
            Inequality index    GRDP Gini       GRDP Theil       Table 5 presents the analysis results of Model 2, which
            Fertility rate       −0.8455***      −0.8329***    adds population density, total population, the proportion of
            Note: ***p<0.01.                                   the population of reproductive age, and the unemployment
                                                               rate  as  additional  independent  variables.  The  R   values
                                                                                                       2
            greater) with the total fertility rate. These correlations are   for all five models more than double compared to those
            statistically significant at the p<0.01 level. These findings   in Model  1, indicating that the additional independent
            indicate a significant association between regional economic   variables in Model 2 provide substantial explanatory
            inequality and declining fertility rates. Nonetheless, it   power for the dependent variable. The coefficients of
            is important to note that these results do not establish a   the independent variables calculated in the pooled OLS
            causal relationship but rather provide limited insight into   are approximately two to four times larger than those
            the potential impact of regional economic disparities   estimated in the spatial panel models, suggesting a potential
            on fertility rates. In the following section, the impact of   overestimation error when spatial autocorrelation is not
            economic growth and regional inequality on fertility will   considered. The spatial lag coefficient (ρ) and spatial error
            be further analyzed using appropriate regression models   coefficient (λ) – representing spatial autocorrelation in the
            that control for changes in various independent variables   dependent variable  and residuals, respectively  – remain
            and incorporate relevant data.                     consistent with those in Model 1.

            3.2. Spatial panel model                             Gross regional domestic product is statistically
                                                               significant and positively associated with the regional
            The analysis of the spatial panel model investigating the   total fertility rate in all models except the SDM Panel.
            factors influencing the total fertility rate across 16 regional   This contradicts the results of Model 1, suggesting that
            local governments over a 20-year period is presented in   the initially observed negative relationship may have
            Tables  4 and  5. In the panel model analysis, the results   been influenced by omitted variable bias. In Model 1,
            of the pooled ordinary least squares (OLS) model, which   where no covariates were included, the effect of GRDP on
            disregards time-specific and individual-specific effects,   fertility rates may have been confounded by unobserved
            are included in Model 1 (Table 4) and Model 2 (Table 5).   factors that simultaneously affect both economic growth
            These results are compared with four different spatial   and fertility decisions. Omitting relevant explanatory
            econometric panel models: The SAR panel, SEM panel,   variables can lead to biased and inconsistent estimates,
            SAC panel, and SDM panel.
                                                               distorting the true effect of the independent variable
              Table 4 displays the results of Model 1, which includes   on the dependent variable (Angrist & Pischke, 2009).
            only GRDP as an independent variable. All five models   However, as additional control variables were introduced
            demonstrate explanatory power, with  R  values ranging   in subsequent models, these confounding effects were
                                             2
            from 12.5% to 14.7%, though the spatial interaction values   mitigated, revealing the true positive association between
            indicating the statistical significance of spatial dependence   GRDP and fertility rates. This finding aligns with previous
            differ across models. The spatial lag coefficient (ρ), which   research suggesting that the relationship between
            represents spatial autocorrelation of the dependent   economic growth and fertility is not fixed but evolves
            variable, is statistically significant at p<0.01 in the SAR and   as economies develop (Doepke et al., 2023). In the early
            SDM models but not in the SAC model. The spatial error   stages of economic growth, rising opportunity costs, such
            coefficient (λ), which captures spatial autocorrelation in   as increased female labor force participation and higher
            the residuals, is statistically significant at p<0.01 in both   educational levels, may contribute to fertility decline. Yet,
            the SEM and SAC models.                            as economies continue to develop, labor market stability,
              In all models, GRDP shows a negative association   improvements in gender equality, and the expansion of
            with the regional total fertility rate, which is statistically   family-supportive policies can help reverse this trend by
            significant at  p<0.01. This result is consistent with   creating an environment more conducive to childbearing.
            previous research suggesting that economic growth leads   These findings indicate that, once key covariates are
            individuals to prioritize their own labor participation and   accounted for, the net effect of GRDP on fertility becomes
            economic stability through continuous income generation,   positive. This interpretation addresses research question
            often leading to delayed or forgone childbirth (McDonald,   1, which suggests that an increase in income levels due to
            2006). These findings align with the earlier bivariate   economic growth has a positive effect on the total fertility
            analysis (Figure  1), although Model 1 is limited in that   rate when other conditions are held constant.


            Volume 11 Issue 5 (2025)                       126                        https://doi.org/10.36922/ijps.8157
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