Fitness versus longevity in age-structured population dynamics |
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Authors: | W Hwang PL Krapivsky S Redner |
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Institution: | (1) Center for BioDynamics, Center for Polymer Studies, and Department of Physics, Boston University, Boston, MA 02215, USA, US |
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Abstract: | We examine the dynamics of an age-structured population model in which the life expectancy of an offspring may be mutated
with respect to that of the parent. While the total population of the system always reaches a steady state, the fitness and
age characteristics exhibit counter-intuitive behavior as a function of the mutational bias. By analytical and numerical study
of the underlying rate equations, we show that if deleterious mutations are favored, the average fitness of the population
reaches a steady state, while the average population age is a decreasing function of the average fitness. When advantageous mutations are favored, the average population fitness grows linearly with
time t, while the average age is independent of the average fitness. For no mutational bias, the average fitness grows as $t^{2/3}$.
Received: 21 December 1999 / Revised version: 31 October 2001 / Published online: 14 March 2002 |
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