IMMIGRATION AND THE RATE OF POPULATION MIXING: EXPLORATIONS WITH A STYLIZED MODEL
Frank T Denton and
Byron Spencer
Department of Economics Working Papers from McMaster University
Abstract:
Immigrants can mix with the population of a receiving country in various ways. We consider demographic mixing by which we mean cross-mating, and more particularly the bearing of children where one parent is of immigrant descent and the other is not – cross parenting as we term it. We consider a hypothetical country with an initial stable population and introduce immigration. The results of cross-parenting are taken into account by identifying three separate populations within the overall total: non-immigrant population, immigrant population (immigrants and their descendants), and mixed population. We develop a stylized model to track the three populations, with interest focusing in particular on how the proportion of mixed population changes through time as it moves toward a steady state. The model has a stable projection (Leslie) matrix that holds for all three populations and moves them forward from generation to generation as each evolves in its own way. As cross-parenting occurs the resulting progeny are transferred from the other populations to the mixed population. The pattern of cross-parenting is determined in the first instance by a matrix representing preferences among the three populations and alternative preferential patterns are experimented with, ranging from complete isolation to indifference as to cross-parenting choices. However the matrix must be modified to recognize supply constraints imposed by the sizes of the available populations and a restricted leastsquares procedure is employed to effect the modification while remaining as close as possible to the original preference pattern. Alternative rates of immigration are experimented with also.
Keywords: immigration; population mixing; cross-parenting; demographic modeling; parenting preferences (search for similar items in EconPapers)
JEL-codes: F22 (search for similar items in EconPapers)
Pages: 23 pages
Date: 2016-10
New Economics Papers: this item is included in nep-mig
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http://socserv.mcmaster.ca/econ/rsrch/papers/archive/McMasterEconWP2016-13.pdf (application/pdf)
Related works:
Journal Article: Immigration and the rate of population mixing: explorations with a stylized model (2017)
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Persistent link: https://EconPapers.repec.org/RePEc:mcm:deptwp:2016-13
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