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International Journal of
            Population Studies                                                 Mortality shapes population age structures




            A                                                B














            Figure 1. (A and B) Illustrative example of the evolution of a structural indicator (e.g., an old age index) calculated on the standard* and on the observed
            population in the same periode.
            Notes: The numerical values in Figure 1B have the only purpose of highlighting that as time passes (from the first to the last observation, a total of 13 of
            them), the indicator evolves, e.g., because of population aging. The continuous lines represent the bisector of the figure; all data points would lie on the
            bisector if the observed age structure coincides with the standard at all times. (*) means a standard indicator is calculated on the L  series of the life table
                                                                                               x
            of the same period.
            when the two distributions are identical, to 1, when they   In both cases, we used the two series of data presented
            never overlap. For instance, if ID  = 15%, the compared   above, P  and L , and transformed them into relative values,
                                                                           t
                                                                      t
            distributions overlap by 85%, which means that 85% of the   c  and  c , respectively. Age was consistently grouped into
                                                                      *
                                                                      t
                                                                t
            units in c , are correctly classified into their respective age   5-year intervals: x = 0‒4; 5‒9;…, 95‒99; 100+. However,
                   t
                               *
            groups, assuming that  c  is the appropriate standard.  time t was treated slightly differently in the two cases: (i)
                               t
            2. Data sources and data organization              for UN data, P  and L  referred to the population of specific
                                                                                t
                                                                          t
                                                               years, spaced by 5 years. We selected those ending in 1 and
            We  obtained  our  data  from  two  renowned  sources:   6 (1951, 1956,…, 2021), resulting in 15 observations for
            the Human Mortality Database (HMD), available at   each country or region; (ii) for HMD data, both P  and L
                                                                                                       t
            https://www.mortality.org/, and the database of the   represented averages over 5-year intervals (e.g.,  t =  t
            World Population Prospects 2022, accessible at https://  1860‒64; 1865‒69;…). This provided a total of 32 potential
            population.un.org/wpp/(United Nations, 2022). Both are   observations for each country, except that not all of them
            freely accessible, with a large set of well-controlled data   were present at all times (see Section 3.3). We decided to
            from different countries and epochs. To minimize data-  work in 5-year intervals with both datasets, partly to
            related issues:                                    preserve symmetry with age groups and partly because the
            (i)  For the United Nations (UN) case, the analysis was   phenomena that we observe (changes in the age structure)
               restricted  to  relatively  large  countries  (each  with  a   are not sufficiently dynamic to justify an analysis using a
               population of at least 1 million people in all the years   single calendar year.
               between 1951 and 2021) to reduce the influence of
               random variations. We also excluded two countries,   3. Results
               Cambodia and  North  Korea,  due  to  exceptionally   3.1. China as an example
               high mortality during the wars of 1976 and 1951,
               respectively. This left us with 131 countries (and,   To clarify the issue, our approach, and our measures,
               separately analyzed, six regions: Africa, Asia, Europe,   China was considered as an example. China served as a
               Latin America and the Caribbean, Northern America,   good candidate owing to its large population and rapid
               and Oceania), each observed 15  times at 5-year   demographic transition, starting in the second half of the
                                                                 th
               intervals from 1951 to 2021.                    20  century. This was believed to counter our hypothesis
            (ii)  For the HMD case, the analysis was focused on relatively   because its abrupt fertility decline has greatly affected its
               recent data (post-1860), aiming at countries with the   age structure in the recent past and to this day. Only for the
               longest possible series: Belgium, Denmark, Finland,   Chinese case (not for the global analysis of the next sub-
               France, Italy, Norway, the Netherlands, Spain, Sweden,   sections, referred to as all world countries), we extended our
               and Switzerland. This selection strikes a reasonable   analysis to 2051 using UN projections (medium variant).
               compromise between data quality (generally very high   With a limited margin of uncertainty, this permitted us to
               in the HMD, but somewhat lower for very remote   better appreciate the long-term consequences of such an
               years), length of series, and sample size.      accelerated demographic transition.


            Volume 10 Issue 4 (2024)                        90                         https://doi.org/10.36922/ijps.377
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