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CPS1982 Dmitri J. et al.
            2.  Inter-Censal Estimates and Migration
                Contrary  to  common  beliefs,  international  migration  has  been  low  for
            decades. In 2015, about 3.3% of the world's population, or 244 million people,
            lived in a country other than the country of birth (Willekens et al., 2016).
                However,  the  distribution  of  migration  is  often  highly  uneven.  First,  it
            affects working ages and have significant influence on fertility estimates. For
            countries with a long history of erroneous statistics of migrants it also has
            serious  consequences  for  estimation  of  mortality  at  old  ages  because  the
            proportion of underestimated or overestimated number of migrants becomes
            higher  with  age.  Second,  uneven  distribution  across  countries  might  be  a
            serious problem for countries with substantial in- or out-migration and small
            populations.
                Population  censuses  provide  the  most  reliable  basis  for  retrospective
            estimation of both population estimates and international migration. In many
            cases,  current  annual  migration  statistics  are  unreliable  due  to  a  lack  of
            accurate flow data. In general, arrival data are more reliable than information
            on out-migration. The last round of censuses in 2010-2012 allowed to produce
            reliable (at least in most of the cases) population estimates around the time of
            the census. In many countries the new census-based population estimates
            significantly differ from the post-censal estimates based on the updating the
            previous census . The next step would be to recalculate annual population
            estimates back using the last census data. Unfortunately, not all countries do
            it. Moreover, a number of countries showing disruption in annual population
            estimates has increased in comparison with the previous round of censuses in
            2000.
                The standard HMD methodology (Wilmoth et al., 2007) for the cases when
            population  estimates  between  two  neighboring  censuses  are  either  not
            available  or  unreliable  is  based  on  the  assumption  of  uniform  distribution
            across  the  entire  inter-censal  period.  This  assumption  works  well  in  many
            conventional situations, but may be violated in the case of special events. For
            example, the collapse of the USSR and abrupt social-economic changes in
            Eastern Europe produced several migration waves at the end of the 1980s and
            over  the  1990s.  Huge  and  irregular  migration  waves  followed  the  EU
            enlargement in 2004 and the financial crisis in 2008-2009. In such cases direct
            application of the basic HMD approach would not yield satisfactory results.
                For example, the official population estimates for Bulgaria show a sudden
            drop in the total population count for the census years 1985, 1992, and 2001
            (Figure 1). According to the official data, the total number of males decreased
            by about 252,000 between 1991 and 1992 (the census year). A similar notable
            discrepancy is found when one compares the official post-censal estimates as
            of December 31st, 2010 to the 2011 census counts (as of February 1st, 2011).



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