Speciation and the ''shifting balance'' in a continuous population
type: Item
instance of: scholarly article
title: Speciation and the ''shifting balance'' in a continuous population
zbMATH Open document ID: 0614.92011
DOI: 10.1016/0040-5809(87)90016-5
author: Yanyan Li
published in: Theoretical Population Biology
publication date: 1987-01-01T00:00:00Z
review text: Shifts between adaptive peaks, caused by sampling drift, are involved in both specification and adaptation via Wright's ''shifting balance''. We use techniques from statistical mechanics to calculate the rate of such transitions for a population in a single panmictic deme and for a population which is continuously distributed over one- and two- dimensional regions. This calculation applies in the limit where transitions are rare. Our results indicate that stochastic divergence is feasible despite free gene flow, provided that neighbourhood size is low enough. In two dimensions, the rate of transition depends primarily on neighbourhood size N and only weakly on selection pressure (\(\approx s^ k\exp (- cN))\), where k is a number determined by the local population structure, in contrast with the exponential dependence on selection pressure in one dimension (\(\approx \exp (-cN\sqrt{s}))\) or in a single deme (\(\approx \exp (-cNs))\). Our calculations agree with simulations of a single deme and a one-dimensional population.
Mathematics Subject Classification ID: 92D10
Mathematics Subject Classification ID: 92D15
zbMATH DE Number: 3995499
zbMATH Keywords: continuous population
zbMATH Keywords: two-dimensional population
zbMATH Keywords: population genetics
zbMATH Keywords: Langevin equation
zbMATH Keywords: adaptive peaks
zbMATH Keywords: sampling drift
zbMATH Keywords: specification
zbMATH Keywords: adaptation
zbMATH Keywords: shifting balance
zbMATH Keywords: statistical mechanics
zbMATH Keywords: single panmictic deme
zbMATH Keywords: transitions
zbMATH Keywords: stochastic divergence
zbMATH Keywords: gene flow
zbMATH Keywords: rate of transition
zbMATH Keywords: neighbourhood size
zbMATH Keywords: selection pressure
zbMATH Keywords: one-dimensional population
MaRDI profile type: Publication
full work available at URL: 0040-5809(87)90016-5
OpenAlex ID: W1975568662
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description: scientific article; zbMATH DE number 3995499