title: The two-sex multiethnic stable population model.
abstract: A two-sex multiethnic stable population is a model with fixed mortality and fertility parameters that explicitly recognizes the behavior of males and females in at least two distinct ethnic groups. The presence of intergroup fertility may allow the different ethnic groups to grow at a constant rate in a population with a fixed sex-ethnic composition. The present paper considers a variety of rules for determining the ethnicity of intergroup births based on the ethnicities of the mother and father, and examines the mathematical models implied by those rules. Numerical examples are presented for a two-ethnic-group population in cases where intergroup births are shared equally by the two groups, are all considered members of one particular group, and are all members of the father's group. A special case of a more general model, where sons become members of the father's group and daughters become members of the mother's group, is also considered. The results suggest that when intergroup fertility is not uncommon, how ethnicity is determined can substantially influence the ethnic composition of the population.
mesh_terms: D005006:Ethnicity; D005260:Female; D005298:Fertility; D006801:Humans; D008297:Male; D008954:Models, Biological; D011157:Population Dynamics; D011158:Population Growth; D012737:Sex Factors; D012744:Sex Ratio; D013223:Statistics as Topic