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International Journal of
            Population Studies                                     Human development, population, and environmental burden



              The (L,  E, G)  data are reliable. The  United  Nations   The second axiom is the economic Principle of equal
            Development Programme (UNDP)  combined  them       marginal utility (EMU),  which  states that humanity
            into the well-known Human Development Index (HDI).   collectively pursues development in health, education,
            HDI has faced significant critique (e.g., Kovacevic, 2011;   and income. This pursuit involves continuously balancing
            Ghislandi  et al., 2018) and has undergone multiple   efforts to maximize the utility as measured by DPI.
            revisions over time. HDI ranks countries and regions on an   Mathematically, this principle can be expressed as dL/L
            annual basis but provides limited information about their   = b dE/E = c dG/G. The EMU principle is the empirical
            progress. While HDI ranking is taken seriously each year, it   basis for observing the exponents (1, b, c) of the three
            does not necessarily indicate which country wins the race.   subindices. For general international comparison, the
            For instance, if Norway has a value of 0.957 and Ireland has   World parameters are used.
            a value of 0.955 (or vice versa), it does not imply that one is   The  simultaneous  growth  of  L,  E,  and  G  enables  the
            superior to the other. It is important to note that HDI uses   determination of the exponents b and c by the EMU
            a dozen of arbitrary parameters that do not have a solid   principle. For example, L, E, and G in the world as a whole
            basis in data, which can significantly affect the rankings.   over the period 2000 – 2019 grew by 7.79%, 11.83%, and
            Moreover, some researchers argued that the HDI rankings   54.88%, respectively, so (a,b,c) = (1, 7.79/11.83, 7.79/54.88)
            are biased and unreliable (e.g., Ravallion, 2012).  = (1, 0.659, 0.142). These parameters are appropriate for a
              Section 2 demonstrates that a natural indicator of   worldwide comparison across countries and regions. For
            development – DPI – for the world as a whole emerges   a comparison of the entire world in particular, the need
            from the democratic Human Time Equality Principle and   to determine the three parameters (a,b,c) can be avoided
            the economic Principle of Equal Marginal Utility (EMU) of   by applying the EMU principle, where people collectively
                                                                                    b
                                                                                          c
            its three components. DPI is a simple and suitable measure   maximize their utility. L, E , and G  are each normalized to
            for quantitatively comparing the past, the present, and   equal unity in 2000 and, by the calibration of b and c, they
                                                                                                            3
            the future. In Section 3, the necessary data are presented,   are projected to grow at the same rate. Hence, DPI World  = L .
            and the two sets of time series of DPI and GDP for the   There are good reasons to question these two axioms –
            world since 1770 are calculated, projected, and compared   many examples show that equality, justice, and rationality
            for the rest of this century under four plausible available   are often absent in human affairs. This and other caveats
            development scenarios (Hooke & Alati 2022; Wittgenstein   are considered further in Section 5.
            Centre, 2022). Section 4 presents the preliminary estimates
            of the environmental impact of total consumption, both   3. The data sources of the DPI and
            past and future, which serves as a proxy measure of   projections
            environmental burden.
                                                               3.1. The world
            2. The Development Progress Index (DPI)            World development data for 1770 – 1980 were derived from

            DPI can be expressed as the weighted geometric mean of   Roser et al. (2019) and van Zanden et al. (2014), and the
            the three HDI time series, namely L, E, and G, that is, DPI   data for 1990 – 2020 were from UNDP (2020) and IIASA
            = L E G  (Lind, 2019). The three subindices, L , E , and G ,   (2022). Climate change is a most important component of
                  c
               a b
                                                a
                                                         c
                                                   b
            are averaged geometrically because they are independent   our  environmental  impacts with  its expected ubiquitous
            dimensions of development. DPI 2000  is set equal to 1.00 by   and serious  influence  on the quality of human life. The
            dividing the respective values of L, E, and G in the year   Intergovernmental Panel on Climate Change (IPCC) has
                                                               therefore developed a set of five Shared Socioeconomic
            2000. The parameters (a, b, c) are derived as follows from   Pathway (SSP) scenarios (Keywan  et al., 2017), each of
            two axioms.
                                                               which is associated with a projection time series, including
              The first axiom is the Human Time Equality Principle   the  global  mean  temperature rise. O’Neill  et  al.  (2016)
            (TEP),  which  Rackwitz  (2002)  called  the  “Democratic   described  the  wide  range  of  scenarios  in  detail.  Four  of
            Principle,” positing that 1 h of a person’s life in good health   these are extreme:  SSP1 Taking the Green Road;  SSP3
            should be valued the same as any other hour of any human   Regional Rivalry – resurgent nationalism; SSP4 Inequality
            life spent in good health. This principle essentially makes   – increasing disparities in economic opportunity and
            (a unit of average) human time (e.g., an hour or a life year)   political power; and  SSP5 Fossil-fueled Development –
            as  the  currency  of  all  valuation,  which  includes  DPI.  In   energy-intensive lifestyles around the world. The most
            other words, DPI must increase by p% if L increases by p%   likely scenario is SSP2 Middle of the Road when “The world
            and E and G remain constant. Hence, the exponent a in   follows a path in which social, economic, and technological
            DPI equals unity.                                  trends do not shift markedly from historical patterns”


            Volume 9 Issue 3 (2023)                         79                         https://doi.org/10.36922/ijps.474
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