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1 March 2006 STOCHASTICITY, COMPLEX SPATIAL STRUCTURE, AND THE FEASIBILITY OF THE SHIFTING BALANCE THEORY
Brendan O'Fallon, Frederick R. Adler
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Abstract

Sewall Wright's shifting balance theory of evolution posits a mechanism by which a structured population may escape local fitness optima and find a global optimum. We examine a one-locus, two-allele model of underdominance in populations with differing spatial arrangements of demes, both analytically and with Monte Carlo simulations. We find that inclusion of variance in interpatch connectivities can significantly reduce the number of generations required for fixation of the more favorable allele relative to island and stepping-stone models. Although time to fixation increases with migration rate in all cases, the presence of one or two relatively isolated demes may reduce the number of generations by 80% or more. These results suggest that the shifting balance process may operate under less restrictive conditions than those found with a simple spatial arrangement of demes.

Brendan O'Fallon and Frederick R. Adler "STOCHASTICITY, COMPLEX SPATIAL STRUCTURE, AND THE FEASIBILITY OF THE SHIFTING BALANCE THEORY," Evolution 60(3), 448-459, (1 March 2006). https://doi.org/10.1554/05-403.1
Received: 19 July 2005; Accepted: 5 January 2006; Published: 1 March 2006
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KEYWORDS
fitness landscape
Sewall Wright
shifting balance theory
spatial structure
underdominance
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