Effects of releasing maladapted individuals: a demographic-evolutionary model

The American Naturalist
Jarle Tufto

Abstract

A model of the joint dynamics of change in population size N and evolution in a quantitative trait z, as a result of a general form of density dependence, local stabilizing selection, and immigration of individuals deviating from the local optimum, is analyzed. For weak selection and migration, a reduction in total equilibrium population size below the initial level without immigration, K, is shown to occur if the immigrants deviates more than square root of 8 = 2.83 genetic standard deviations from the optimum and if the rate of migration m is sufficiently large relative to the strength of stabilizing selection s. For the Lotka-Volterra form of density dependence, two additional equilibria are shown to exist below K, provided that the strength of selection is large relative to the strength of density dependence. Reintroduction of an initially extinct population is possible if the immigrants are not too maladapted and if the genetic variance is sufficiently large. For a simplified version of the model corresponding to competition between similar species or different haplotypes, the equilibrium population size is always exactly at K if m < Ksz1(2) and is above K otherwise, which shows the importance of including recombination in...Continue Reading

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Citations

May 7, 2003·Journal of Theoretical Biology·Jarle Tufto, Kjetil Hindar
Jul 12, 2007·Proceedings. Biological Sciences·Yvonne WilliMarkus Fischer
Apr 18, 2007·Biological Reviews of the Cambridge Philosophical Society·C Garcia de LeanizT P Quinn
Oct 23, 2012·Conservation Biology : the Journal of the Society for Conservation Biology·Marissa L Baskett, Robin S Waples
Oct 14, 2011·The American Naturalist·Robert D Holt, Michael Barfield
Jul 28, 2004·The American Naturalist·Robert D Holt
Feb 19, 2004·The American Naturalist·Robert D HoltMichael Barfield
Feb 13, 2007·The American Naturalist·Tristan Kimbrell, Robert D Holt
Aug 10, 2010·Journal of Theoretical Biology·Philipp M AltrockFloyd A Reed
Nov 4, 2004·Evolution; International Journal of Organic Evolution·Arnaud EstoupJean-Marie Cornuet
May 29, 2009·Evolution; International Journal of Organic Evolution·Ophélie RonceRuth G Shaw
Jun 26, 2008·Conservation Biology : the Journal of the Society for Conservation Biology·Michael J FordJason Miller
Nov 3, 2007·Evolution; International Journal of Organic Evolution·Erica Bree RosenblumCraig Moritz
Oct 8, 2013·Evolution; International Journal of Organic Evolution·Scott C BurgessMarissa L Baskett
May 7, 2011·Journal of Evolutionary Biology·L-M Chevin, R Lande
Oct 31, 2012·Evolution; International Journal of Organic Evolution·Jisca Huisman, Jarle Tufto
Mar 7, 2013·Evolution; International Journal of Organic Evolution·Robin AguiléeOphélie Ronce
Nov 5, 2013·Evolutionary Applications·Marissa L BaskettRobin S Waples
Aug 12, 2009·Evolution; International Journal of Organic Evolution·Jarle Tufto
Jul 30, 2015·Evolution; International Journal of Organic Evolution·Gregor RolshausenAndrew P Hendry
Feb 20, 2003·Proceedings. Biological Sciences·R D HoltM Barfield
Jan 16, 2019·Nature Communications·Ingerid J HagenSten Karlsson
Jul 25, 2019·Evolution; International Journal of Organic Evolution·Himani Sachdeva
Jul 18, 2017·Evolution; International Journal of Organic Evolution·Jarle Tufto
Aug 16, 2017·Nature Ecology & Evolution·Geir H BolstadSten Karlsson
Mar 21, 2021·Evolution; International Journal of Organic Evolution·Enikő SzépNicholas H Barton
Dec 23, 2021·Science Advances·Geir H BolstadKjetil Hindar

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