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Gene frequency and fitness change in an age‐structured population

Gene frequency and fitness change in an age‐structured population Gene frequency and fitness change in an age-structured population JAMES F. CROW Genetics Department, University of Wisconsin, Madison, Wisconsin 53706 Population genetic models typically assume either discrete, non-overlapping generations or else a continuously changing population in which survival and reproduction are age-independent. Mendelian populations with age structure were fist considered in detail by Norton (1928), who was 50 years ahead of his time, and more recently by Charlesworth (1970, 1974), Cornette (1975), and Nagylaki (1977). The equations are very complicated; I am looking for simpler, approximate formulations. R. A. Fisher (1 930), with characteristic ingenuity, introduced the concept of reproductive value of an age group. I n a population with a constant schedule of age-specific birth and death rates, the reproductive value is a measure of the relative contribution of an age group to the future population after the age distribution has stabilized. Fisher showed further that the total reproductive value of a population has the remarkable property of increasing a t a constant rate, given by the Malthusian parameter, regardless: of age structure - a property that is true of the actual population only after age stability is attained. Some of the difficulties that arise when birth http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Annals of Human Genetics Wiley

Gene frequency and fitness change in an age‐structured population

Annals of Human Genetics , Volume 42 (3) – Jan 1, 1979

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References (21)

Publisher
Wiley
Copyright
Copyright © 1979 Wiley Subscription Services, Inc., A Wiley Company
ISSN
0003-4800
eISSN
1469-1809
DOI
10.1111/j.1469-1809.1979.tb00669.x
Publisher site
See Article on Publisher Site

Abstract

Gene frequency and fitness change in an age-structured population JAMES F. CROW Genetics Department, University of Wisconsin, Madison, Wisconsin 53706 Population genetic models typically assume either discrete, non-overlapping generations or else a continuously changing population in which survival and reproduction are age-independent. Mendelian populations with age structure were fist considered in detail by Norton (1928), who was 50 years ahead of his time, and more recently by Charlesworth (1970, 1974), Cornette (1975), and Nagylaki (1977). The equations are very complicated; I am looking for simpler, approximate formulations. R. A. Fisher (1 930), with characteristic ingenuity, introduced the concept of reproductive value of an age group. I n a population with a constant schedule of age-specific birth and death rates, the reproductive value is a measure of the relative contribution of an age group to the future population after the age distribution has stabilized. Fisher showed further that the total reproductive value of a population has the remarkable property of increasing a t a constant rate, given by the Malthusian parameter, regardless: of age structure - a property that is true of the actual population only after age stability is attained. Some of the difficulties that arise when birth

Journal

Annals of Human GeneticsWiley

Published: Jan 1, 1979

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