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doi:10.1534/genetics.104.026799
A more recent version of this article appeared on February 1, 2005.
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On the meaning and existence of an effective population size
Per Sjödin 1*, Ingemar Kaj 1, Stephen Krone 2, Martin Lascoux 1 and Magnus Nordborg 3
1 University of Uppsala
2 University of Idaho
3 USC
* To whom correspondence should be addressed. E-mail: per.sjodin{at}ebc.uu.se.
Submitted on January 26, 2004
Revised on April 20, 2004
Accepted on 6 October 2004
We investigate conditions under which a model with stochastic demography or population structure converges to the coalescent with a linear change in time scale. We argue that this is a necessary condition for the existence of a meaningful effective population size. We find that such a linear time scale change is obtained when demographic fluctuations and coalescence events occur on different time scales. Simple models of population structure and randomly fluctuating population size are used to exemplify the ideas and provide an intuitive feel for the meaning of the conditions.
Key Words: coalescent theory, effective population size, stochastic demography
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