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res:
bibo_abstract:
- We derive a formula giving thefrequency with which random drift shifts a population
betweenalternativeequilibria. This formula is valid when such shifts are rare
(Ns >> 1), and applies over a wide range of mutation rates. When the number
of mutations entering the population is low (4Nμ << 1), the rate of stochastic
shifts reduces to the product ofthe mutation rate and the probability of fixation
of a single mutation. However, when many mutations enter the population in each
generation (4Nμ >> 1), the rate is higher than would be expected if mutations
were established independently, and converges to that given by a gaussian approximation.
We apply recent results on bistable systems to extend this formula to the general
multidimensional case. This gives an explicit expression for thefrequencyof stochastic
shifts, which depends only on theequilibrium probability distribution near the
saddle point separating thealternative stable states. The plausibility of theories
of speciation through random drift are discussed in the light of these results.@eng
bibo_authorlist:
- foaf_Person:
foaf_givenName: Nicholas H
foaf_name: Nicholas Barton
foaf_surname: Barton
foaf_workInfoHomepage: http://www.librecat.org/personId=4880FE40-F248-11E8-B48F-1D18A9856A87
orcid: 0000-0002-8548-5240
- foaf_Person:
foaf_givenName: Shahin
foaf_name: Rouhani, Shahin
foaf_surname: Rouhani
bibo_doi: 10.1016/S0022-5193(87)80210-2
bibo_issue: '4'
bibo_volume: 125
dct_date: 1987^xs_gYear
dct_publisher: Elsevier@
dct_title: The frequency of shifts between alternative equilibria@
...