2013
DOI: 10.3390/g4030304
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The Hitchhiker’s Guide to Adaptive Dynamics

Abstract: Adaptive dynamics is a mathematical framework for studying evolution. It extends evolutionary game theory to account for more realistic ecological dynamics and it can incorporate both frequency-and density-dependent selection. This is a practical guide to adaptive dynamics that aims to illustrate how the methodology can be applied to the study of specific systems. The theory is presented in detail for a single, monomorphic, asexually reproducing population. We explain the necessary terminology to understand th… Show more

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Cited by 153 publications
(163 citation statements)
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References 77 publications
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“…To examine how hydrodynamic interactions impact biofilm evolution, we embedded the mechanistic model presented above within an adaptive dynamics framework (60,93). This analysis examines whether a new genotype is able to invade and displace a porous environment already colonized by "resident" genotype.…”
Section: Methodsmentioning
confidence: 99%
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“…To examine how hydrodynamic interactions impact biofilm evolution, we embedded the mechanistic model presented above within an adaptive dynamics framework (60,93). This analysis examines whether a new genotype is able to invade and displace a porous environment already colonized by "resident" genotype.…”
Section: Methodsmentioning
confidence: 99%
“…To resolve how the bacterial growth rate would evolve over many successive rounds of competition, we embedded our mechanistic model of flow-biofilm interaction within a game theoretical framework known as adaptive dynamics (60). Specifically, this invasion analysis tests whether a novel genotype that grows at rate αM will be able to increase in frequency and ultimately supplant a population of biofilms that grow at rate αR based on their relative fitness (Materials and Methods).…”
Section: Significancementioning
confidence: 99%
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“…Fourth, metacommunities are assembled evolutionarily as well as ecologically, using methods of adaptive dynamics theory (32,33). We not only ask whether specific trait mixtures can coexist ecologically, but also determine the mixtures likely to emerge through repeated rounds of immigration, mutation, and selection on an evolving fitness landscape.…”
Section: Significancementioning
confidence: 99%
“…a proxy to the invasion fitness [10]. In the case of pathogen evolution this role is played by the reproduction number.…”
Section: Minimizing the Case Fatality Proportionmentioning
confidence: 99%