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”’Evolutionary dynamics”’ is a branch of mathematical evolutionary biology that developed from research using [[differential equations]] to model both [[genetic]] and [[phenotype|phenotypic]] change.<ref name=”JMBEvolDyn”>{{cite journal |editor1-last=Dieckmann |editor1-first=Odo |editor2-last=Christiansen |editor2-first=Freddy B |editor3-last=Law |editor3-first=Richard |title=Special Issue: Evolutionary Dynamics |journal=Journal of Mathematical Biology |date=1996 |volume=54 |issue=5/6 |pages=483–688}}</ref> Thus it differs from [[population genetics]] or [[quantitative genetics]] that focus on [[genetic]] change, and from [[population dynamics]] that describes change in population size over time, but does not include [[genetic]] change. [[Evolutionary game theory]] first applied to biology by [[John Maynard Smith|Maynard Smith]] and [[George R. Price|Price]]<ref name=”JMS&Price73″>{{cite journal |author1=Maynard Smith, J |author2=Price, G R |author1-link=John Maynard Smith |author2-link=George R. Price |title=The logic of animal conflict |journal=Nature |date=1973 |volume=246 |issue=5427 |pages=15–18 |doi=10.1038/246015a0 }}</ref> introduced an important connection between [[ecology]] and [[evolution]] by showing the importance of [[frequency-dependent selection]], but it did not initially provide a flexible link to [[population dynamics|population dynamic]] change. |
”’Evolutionary dynamics”’ is a branch of mathematical evolutionary biology that developed from research using [[differential equations]] to model both [[genetic]] and [[phenotype|phenotypic]] change.<ref name=”JMBEvolDyn”>{{cite journal |editor1-last=Dieckmann |editor1-first=Odo |editor2-last=Christiansen |editor2-first=Freddy B |editor3-last=Law |editor3-first=Richard |title=Special Issue: Evolutionary Dynamics |journal=Journal of Mathematical Biology |date=1996 |volume=54 |issue=5/6 |pages=483–688}}</ref> Thus it differs from [[population genetics]] or [[quantitative genetics]] that focus on [[genetic]] change, and from [[population dynamics]] that describes change in population size over time, but does not include [[genetic]] change. [[Evolutionary game theory]] first applied to biology by [[John Maynard Smith|Maynard Smith]] and [[George R. Price|Price]]<ref name=”JMS&Price73″>{{cite journal |author1=Maynard Smith, J |author2=Price, G R |author1-link=John Maynard Smith |author2-link=George R. Price |title=The logic of animal conflict |journal=Nature |date=1973 |volume=246 |issue=5427 |pages=15–18 |doi=10.1038/246015a0 }}</ref> introduced an important connection between [[ecology]] and [[evolution]] by showing the importance of [[frequency-dependent selection]], but it did not initially provide a flexible link to [[population dynamics|population dynamic]] change. |
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In the 1990s researchers began to understand the opportunity for linking [[ecology|ecological]] and [[genetic]] models using [[differential equations]] resulting in evolutionary dynamics.<ref name=”Nowak2006″>{{cite book |title=”Evolutionary Dynamics:Exploring the Equations of Life” |date=2006 |author1=Nowak, Martin A. |author1-link=Martin Nowak |publisher=Harvard University Press |location=Cambridge, MA |isbn=9780674023383}}</ref> |
In the 1990s researchers began to understand the opportunity for linking [[ecology|ecological]] and [[genetic]] models using [[differential equations]] resulting in evolutionary dynamics.<ref name=”Nowak2006″>{{cite book |title=”Evolutionary Dynamics:Exploring the Equations of Life” |date=2006 |author1=Nowak, Martin A. |author1-link=Martin Nowak |publisher=Harvard University Press |location=Cambridge, MA |isbn=9780674023383}}</ref> |
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==Origins== |
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==Applications== |
==Applications== |
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Latest revision as of 11:24, 14 January 2026
Modelling evolution using differential equations
Evolutionary dynamics is a branch of mathematical evolutionary biology that developed from research using differential equations to model both genetic and phenotypic change.[1] Thus it differs from population genetics or quantitative genetics that focus on genetic change, and from population dynamics that describes change in population size over time, but does not include genetic change. Evolutionary game theory first applied to biology by Maynard Smith and Price[2] introduced an important connection between ecology and evolution by showing the importance of frequency-dependent selection, but it did not initially provide a flexible link to population dynamic change.
In the 1990s researchers began to understand the opportunity for linking ecological and genetic models using differential equations resulting in evolutionary dynamics.[3] Some researchers prefer the terms adaptive dynamics[4] or evolutionary invasion analysis.[5] The common feature of this work is the use of differential equations to model evolutionary change in a manner that can take into account ecological concepts and phenotypic as well as genetic change.
These models have relevance also to the generation and maintenance of tissues in mammals, since an understanding of tissue cell kinetics, architecture, and development from adult stem cells has important implications for aging and cancer.[6]
- ^ Dieckmann, Odo; Christiansen, Freddy B; Law, Richard, eds. (1996). “Special Issue: Evolutionary Dynamics”. Journal of Mathematical Biology. 54 (5/6): 483–688.
- ^ Maynard Smith, J; Price, G R (1973). “The logic of animal conflict”. Nature. 246 (5427): 15–18. doi:10.1038/246015a0.
- ^ Nowak, Martin A. (2006). “Evolutionary Dynamics:Exploring the Equations of Life”. Cambridge, MA: Harvard University Press. ISBN 9780674023383.
- ^ Brännström, Åke; Johansson, Jacob; von Festenberg, Niels (2013). “The Hitchhiker’s Guide to Adaptive Dynamics”. Games. 4 (3): 304–328. doi:10.3390/g4030304.
{{cite journal}}: CS1 maint: multiple names: authors list (link) - ^ Kokko, Hanna (2007). “Chapter 7: Self-consistent games and evolutionary invasion analysis”. Modelling for Field Biologists and Other Interesting People. Cambridge, UK: Cambridge University Press. pp. 140–162. ISBN 9780521538565.
- ^ Tannenbaum, Emmanuel; Sherley, James L; Shakhnovich, Eugene I (2005). “Evolutionary dynamics of adult stem cells: comparison of random and immortal-strand segregation mechanisms”. Physical Review E. 71 (4) 041914. arXiv:q-bio/0411048. Bibcode:2005PhRvE..71d1914T. doi:10.1103/PhysRevE.71.041914. PMID 15903708. S2CID 11529637.
