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International Journal of
            Population Studies                                                     Regional disparities and fertility rates



              Table 2 describes the variables used in the time series   disparities, and fertility rates. Before conducting multiple
            model constructed to analyze the impact of regional   regression analyses, a correlation analysis was performed
            disparities on fertility rates. The dependent variable was   to examine the relationships among key variables. In this
            the national total fertility rate for the corresponding year,   study, Pearson’s correlation coefficients, which are widely
            as provided by Statistics Korea. To assess the influence of   used as statistical measures of correlation, were applied
            economic growth on the fertility rate, the GRDP growth   to assess the relationships between regional fertility rates,
            rate for the respective year was utilized as a common   regional GRDP, and regional disparities in individual
            independent variable. The Gini coefficient and Theil   variables.
            coefficient served as indicators of inequality. To balance
            the strengths and weaknesses of these two indices, the   2.2.2. Spatial panel model
            Gini coefficient of GRDP was used in Models 2 and 4,   The spatial dependence of fertility rates across various
            while the Theil coefficient of GRDP was applied in Models   regions has been highlighted in multiple studies (Brée &
            3 and 5. By employing these coefficients, the net effect of   Doignon, 2022; Campisi  et al., 2020; Kim & Jun, 2021;
            regional disparities on the fertility rate can be estimated,   Vitali & Billari, 2018). This study investigated macro-level
            thus answering research question 2. In addition, in Models   factors that influence the total fertility rate across different
            4 and 5, the previous year’s total fertility rate was included   regions, not only through correlation analysis but also
            as an independent variable to examine its relationship with   from a spatial perspective. To this end, a panel dataset
            fertility rates in subsequent years.               combining cross-sectional and time-series data, along
                                                               with spatial panel models, was utilized with regions as the
            2.2. Analytical models                             spatial units.

            2.2.1. Bivariate model                               The panel model improves estimation efficiency
            The  primary  objective of  this  study  was  to  investigate   by  increasing  degrees  of  freedom  through  sample
            the relationship between economic growth, regional   augmentation and mitigating multicollinearity among

            Table 1. Variables used in the spatial panel model

            Variables                  Description                                 Model 1        Model 2
            Dependent variable
             Log (total fertility rate)  Log (regional fertility rate)                ◯              ◯
            Independent variables
             GRDP                      GRDP (unit: trillion won)                      ◯              ◯
             Density                   Population density (unit: 1,000 people/km )                   ◯
                                                                  2
             Population                Total population (unit: million people)                       ◯
             Youth                     Population of 25 – 34 years old (unit: 10,000 people)         ◯
             Unemployment              Unemployment rate (unit: %)                                   ◯
            Source: Statistics Korea.
            Abbreviation: GRDP: Gross regional domestic product.

            Table 2. Variables used in the time series model

            Variables               Description               Model 1    Model 2   Model 3  Model 4   Model 5
            Dependent variable
             Fertility rate         National fertility rate      ◯         ◯         ◯         ◯         ◯
            Independent variables
             Growth rate            GDP growth rate              ◯         ◯         ◯         ◯         ◯
             Gini                   Gini coefficient of GRDP               ◯                   ◯
             Theil                  Theil coefficient of GRDP                        ◯                   ◯
             Fertility rate_1       Fertility rate of the previous year                        ◯         ◯
            Source: Statistics Korea, author calculations.
            Abbreviations: GDP: Gross domestic product; GRDP: Gross regional domestic product.


            Volume 11 Issue 5 (2025)                       123                        https://doi.org/10.36922/ijps.8157
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