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Originally published as Genetics Published Articles Ahead of Print on October 16, 2004.
Genetics, Vol. 169, 1061-1070, February 2005, Copyright © 2005
doi:10.1534/genetics.104.026799
On the Meaning and Existence of an Effective Population Size
P. Sjödin*,1,
I. Kaj
,
S. Krone
,
M. Lascoux* and
M. Nordborg
* Department of Conservation Biology and Genetics, Evolutionary Biology Center, Uppsala University, S-752 36, Uppsala, Sweden
Department of Mathematics, Uppsala University, S-752 36, Uppsala, Sweden
Department of Mathematics, University of Idaho, Moscow, Idaho 83844-1103
Program in Molecular and Computational Biology, University of Southern California, Los Angeles, California 90089-1340
1 Corresponding author: Department of Conservation Biology and Genetics, Evolutionary Biology Center, Uppsala University, S-752 36, Uppsala, Sweden.
E-mail: per.sjodin{at}ebc.uu.se
We investigate conditions under which a model with stochastic demography or population structure converges to the coalescent with a linear change in timescale. We argue that this is a necessary condition for the existence of a meaningful effective population size. We find that such a linear timescale change is obtained when demographic fluctuations and coalescence events occur on different timescales. 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.
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