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Looking forwards and backwards in a bisexual moran model

Published online by Cambridge University Press:  14 July 2016

K. Kämmerle
K. Kämmerle*
Affiliation:
Johannes Gutenberg-Universität Mainz
*
∗ Postal address: Johannes Gutenberg-Universität Mainz, Fachbereich 17 Mathematik, Saarstraße 21, 6500 Mainz, W. Germany.
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Abstract

In this paper a bisexual Moran model is introduced. The population consists of N pairs of individuals. At times t = 1, 2, ·· ·two individuals are born, who ‘choose their parents randomly' and independently of each other. Then one of the pairs is removed and replaced by the two individuals born at that instant.

The extinction probability of the descendants of a single pair and the number of ancestors of a whole generation are studied. A limit result for large population sizes has been derived by diffusion approximation methods.

Keywords

DIFFUSION APPROXIMATIONORNSTEIN–UHLENBECK PROCESS
Type
Short Communications
Information
Journal of Applied Probability , Volume 26 , Issue 4 , December 1989 , pp. 880 - 885
Copyright
Copyright © Applied Probability Trust 1989 

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