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CPS2210 Justyna Majewska et al.
            ensures that the rates of change of the future mortality rates are the same for
            the two populations, and thus avoids crossovers.
               The crucial issue was to derive similar countries to Poland. Thus, the analysis
            was  preceded  by  an  idenfitifaction  of  homogenous  spatial  clusters  of  EU
            countries according  to  the  following  demographic  and  economic  variables
            (details can be found in Majewska and Trzpiot, 2019):
            –  Human Development Index – developed by the United Nations to measure
                and rank countries’ levels of social and economic development,
            –  Air pollution – greenhouse gas emissions in tons per capita,
            –  Social protection expenditures measured as percentage of GDP,
            –  Doctors providing direct care to patients per 1000 inhabitants,
            –  Alcohol – annual sales of pure alcohol in liters per person aged 15 years
                and older,
            –  Cigarettes – a percentage of daily smokers of the population aged 15 years
                and over,
            –  Obesity  –  a  percentage  of  obese  inhabitants  in  population;  obesity  is
                measured by the body mass index.
            Cluster  with  Poland  contains  also  the  following  countries:  Czech  Republic,
            Malta, Latvia, Lithuania, Slovakia, Croatia, Hungary, Romania, Bulgaria, Greece,
            Cyprus. For comparison Slovakia, Czech Republic, Lithuania and Hungary are
            selected.
            The dataset comprises the number of deaths and the number of exposures for
            male and female in above-mentioned countries since the beginning of 1950
            until 2015.

            3.  Result
                Trends  in  mortality  for  the  countries  grouped  in  a  spatial  cluster  are
            presented in figure 1. A visual inspection of figure 1 suggests the possibility of
            common stochastic trends in mortality.
                        Fig. 1. Log mortality rates for male in selected European countries






















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