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A simulation analysis of the longer-term effects of immigration on per capita income in an aging population

                                        Going the other way — reducing immigrant productivity by 20% — produces similar
                                      results, but in the opposite direction, again depending on the assumed age distribution. We
                                      interpret these results as implying a lower education level among immigrants. An alterna-
                                      tive interpretation though would be that the education level is the  same but the lower
                                      productivity reflects a higher rate of immigrant unemployment, or that there is underem-
                                      ployment — employment of immigrants in jobs beneath their education level. Any of these
                                      interpretations, or  any  combination, would have the same  effect  —  a reduction of the
                                      productivity of the immigrant labour force.
                                        We consider only overall income per capita in relation to education and productivity,
                                      not the actual distribution of income between immigrants and the domestic population.
                                      However, if immigrants were to have a higher marginal product than domestic workers but
                                      receive the same per capita income there would be implicit discrimination — in effect a
                                      transfer of wealth created from the immigrant to the non-immigrant population. If immi-
                                      grants were to have a lower marginal product there would be a transfer in the opposite di-
                                      rection. (More generally, the education characteristics of immigrants and their implications
                                      for the economy, and for the immigrants themselves, is a topic on its own that deserves
                                      greater attention than we are able to give it here.)

                                      4. Conclusions

                                      Our mythical country of Alpha faces a problem common to many industrialized countries:
                                      a shift in the age distribution of the population towards a lower proportion in the labour
                                      force and consequent downward pressure on national income per capita. Immigration can
                                      be used to moderate the shift but to be effective the quota level may have to be high, the
                                      distribution of adult immigrants highly concentrated in the working ages, and the propor-
                                      tion of child immigrants low. While immigration will bring about an increase in aggregate
                                      national income it will also add to the number of consumers sharing in the increase. The
                                      worker/dependent  ratio among immigrants  is therefore  a fundamental consideration in
                                      policy design. A larger quota will of course produce a larger effect but how large a quota is
                                      acceptable from  a social point of view  is another fundamental consideration.  A higher
                                      overall level of productivity could offset the aging-induced decline in per capita income
                                      but to be realistically interpreted, productivity would have to be defined in relative terms
                                      — relative to the level in the rest of the world, that is. A higher level of education and
                                      hence productivity for immigrants alone would increase overall per capita income, a lower
                                      level would decrease it, and in either case there is the issue of how the difference would be
                                      shared between immigrants and non-immigrants. An increase in fertility would raise the
                                      proportion of dependents in the population and lower per capita income, both immediately
                                      and subsequently. Falling death rates and rising life expectancy would increase the propor-
                                      tion of older dependents; that could be offset by higher labour force participation rates of
                                      older people but the increases would have to be proportionately large, and even then might
                                      provide only a modest contribution.

                                      Conflict of Interest and Funding

                                      No conflict of interest has been reported by the authors.
                                      Acknowledgements

                                      The authors wish to thank the two reviewers of an earlier version of this paper for their
                                      helpful comments and suggestions.

                                      Ethics Statement

                                      The analyses described in this paper were performed using secondary data obtained from

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