{"language":[{"iso":"eng"}],"day":"01","year":"2000","volume":57,"publisher":"Academic Press","external_id":{"pmid":["10828217"]},"publication_status":"published","page":"249 - 263","doi":"10.1006/tpbi.2000.1455","issue":"3","publist_id":"1820","_id":"4272","publication":"Theoretical Population Biology","date_updated":"2023-04-19T12:36:39Z","date_published":"2000-05-01T00:00:00Z","oa_version":"None","date_created":"2018-12-11T12:07:58Z","article_type":"original","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","article_processing_charge":"No","publication_identifier":{"issn":["0040-5809"]},"type":"journal_article","month":"05","status":"public","title":"The stability of symmetrical solutions to polygenic models","extern":"1","intvolume":"        57","citation":{"ama":"Barton NH, Shpak M. The stability of symmetrical solutions to polygenic models. <i>Theoretical Population Biology</i>. 2000;57(3):249-263. doi:<a href=\"https://doi.org/10.1006/tpbi.2000.1455\">10.1006/tpbi.2000.1455</a>","short":"N.H. Barton, M. Shpak, Theoretical Population Biology 57 (2000) 249–263.","ista":"Barton NH, Shpak M. 2000. The stability of symmetrical solutions to polygenic models. Theoretical Population Biology. 57(3), 249–263.","apa":"Barton, N. H., &#38; Shpak, M. (2000). The stability of symmetrical solutions to polygenic models. <i>Theoretical Population Biology</i>. Academic Press. <a href=\"https://doi.org/10.1006/tpbi.2000.1455\">https://doi.org/10.1006/tpbi.2000.1455</a>","mla":"Barton, Nicholas H., and Max Shpak. “The Stability of Symmetrical Solutions to Polygenic Models.” <i>Theoretical Population Biology</i>, vol. 57, no. 3, Academic Press, 2000, pp. 249–63, doi:<a href=\"https://doi.org/10.1006/tpbi.2000.1455\">10.1006/tpbi.2000.1455</a>.","ieee":"N. H. Barton and M. Shpak, “The stability of symmetrical solutions to polygenic models,” <i>Theoretical Population Biology</i>, vol. 57, no. 3. Academic Press, pp. 249–263, 2000.","chicago":"Barton, Nicholas H, and Max Shpak. “The Stability of Symmetrical Solutions to Polygenic Models.” <i>Theoretical Population Biology</i>. Academic Press, 2000. <a href=\"https://doi.org/10.1006/tpbi.2000.1455\">https://doi.org/10.1006/tpbi.2000.1455</a>."},"author":[{"first_name":"Nicholas H","id":"4880FE40-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8548-5240","full_name":"Barton, Nicholas H","last_name":"Barton"},{"first_name":"Max","last_name":"Shpak","full_name":"Shpak, Max"}],"abstract":[{"text":"Analysis of multilocus evolution is usually intractable for more than n ~ 10 genes, because the frequencies of very large numbers of genotypes must be followed. An exact analysis of up to n ~ 100 loci is feasible for a symmetrical model, in which a set of unlinked loci segregate for two alleles (labeled '0' and '1') with interchangeable effects on fitness. All haploid genotypes with the same number of 1 alleles can then remain equally frequent. However, such a symmetrical solution may be unstable: for example, under stabilizing selection, populations tend to fix any one genotype which approaches the optimum. Here, we show how the 2' x 2' stability matrix can be decomposed into a set of matrices, each no larger than n x n. This allows the stability of symmetrical solutions to be determined. We apply the method to stabilizing and disruptive selection in a single deme and to selection against heterozygotes in a linear cline. (C) 2000 Academic Press.","lang":"eng"}],"pmid":1,"quality_controlled":"1","scopus_import":"1"}