On the dynamics of populations with two age groups | Zendy

Young Jin Kim | Zendy

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On the dynamics of populations with two age groups

Author(s) -

Young Jin Kim

Publication year - 1985

Publication title -

demography

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.099

H-Index - 129

eISSN - 1533-7790

pISSN - 0070-3370

DOI - 10.2307/2061072

Subject(s) - ergodic theory , vital rates , mathematics , product (mathematics) , dynamics (music) , population , sequence (biology) , projection (relational algebra) , age groups , distribution (mathematics) , age structure , demography , econometrics , statistics , population growth , pure mathematics , mathematical analysis , biology , algorithm , psychology , sociology , pedagogy , geometry , genetics

By restricting the number of age groups to two and by introducing continued fractions, the dynamics of populations with deterministically changing vital rates are completely specified at all times. Explicit expressions for the sequence of the product of population projection matrices are given. From these, relative age distribution and reproductive values to any desired accuracy are obtained as functions of the vital rates. Thus, the results given in this paper are stronger than any existing weak ergodic theorems.

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