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            ueen Theory

Silva, Jack da

doi:10.1002/9780470015902.a0028127

Cited by 2 publications

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“…The hypothesis has been mathematically formulated in many models. However, owing to the modern usage of the term 'Red Queen' for different but related phenomena [2][3][4][5][6][7][8][9], the models have diverging foci and many lack the implementation of stochastic forces and ecological dynamics. A common synonym for the term Red Queen dynamics is fluctuating selection dynamics (FSD).…”

Section: Introductionmentioning

confidence: 99%

How long do Red Queen dynamics survive under genetic drift? A comparative analysis of evolutionary and eco-evolutionary models

2020

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Background: Red Queen dynamics are defined as long term co-evolutionary dynamics, often with oscillations of genotype abundances driven by fluctuating selection in host-parasite systems. Much of our current understanding of these dynamics is based on theoretical concepts explored in mathematical models that are mostly (i) deterministic, inferring an infinite population size and (ii) evolutionary, thus ecological interactions that change population sizes are excluded. Here, we recall the different mathematical approaches used in the current literature on Red Queen dynamics. We then compare models from game theory (evo) and classical theoretical ecology models (eco-evo), that are all derived from individual interactions and are thus intrinsically stochastic. We assess the influence of this stochasticity through the time to the first loss of a genotype within a host or parasite population. Results: The time until the first genotype is lost ("extinction time"), is shorter when ecological dynamics, in the form of a changing population size, is considered. Furthermore, when individuals compete only locally with other individuals extinction is even faster. On the other hand, evolutionary models with a fixed population size and competition on the scale of the whole population prolong extinction and therefore stabilise the oscillations. The stabilising properties of intra-specific competitions become stronger when population size is increased and the deterministic part of the dynamics gain influence. In general, the loss of genotype diversity can be counteracted with mutations (or recombination), which then allow the populations to recurrently undergo negative frequency-dependent selection dynamics and selective sweeps. Conclusion: Although the models we investigated are equal in their biological motivation and interpretation, they have diverging mathematical properties both in the derived deterministic dynamics and the derived stochastic dynamics. We find that models that do not consider intraspecific competition and that include ecological dynamics by letting the population size vary, lose genotypes -and thus Red Queen oscillations -faster than models with competition and a fixed population size.

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Section: Introductionmentioning

confidence: 99%

How long do Red Queen dynamics survive under genetic drift? A comparative analysis of evolutionary and eco-evolutionary models

2020

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“…The hypothesis has been mathematically formu-4 lated in many models. However, owing to the modern usage of the term 'Red Queen' for different 5 but related phenomena [2,3,4,5,6,7,8,9], the models have diverging foci and many lack the 6 implementation of stochastic forces and ecological dynamics. A common synonym for the term 7 Red Queen dynamics is fluctuating selection dynamics (FSD).…”

mentioning

confidence: 99%

How long do Red Queen dynamics survive under genetic drift? A comparative analysis of evolutionary and eco-evolutionary models

Schenk

Schulenburg

Traulsen

2018

Preprint

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Background: Red Queen dynamics are defined as long term co-evolutionary dynamics, often with oscillations of genotype abundances driven by fluctuating selection in host-parasite systems.Much of our current understanding of these dynamics is based on theoretical concepts explored in mathematical models that are mostly (i) deterministic, inferring an infinite population size and (ii) evolutionary, thus ecological interactions that change population sizes are excluded. Here, we recall the different mathematical approaches used in the current literature on Red Queen dynamics. We then compare models from game theory (evo) and classical theoretical ecology models (eco-evo), that are all derived from individual interactions and are thus intrinsically stochastic. We assess the influence of this stochasticity through the time to the first loss of a genotype within a host or parasite population. Results: The time until the first genotype is lost ("extinction time"), is shorter when ecological dynamics, in the form of a changing population size, is considered. Furthermore, when individuals compete only locally with other individuals extinction is even faster. On the other hand, evolutionary models with a fixed population size and competition on the scale of the whole population prolong extinction and therefore stabilise the oscillations. The stabilising properties of intraspecific competitions become stronger when population size is increased and the deterministic part of the dynamics gain influence. In general, the loss of genotype diversity can be counteracted with mutations (or recombination), which then allow the populations to recurrently undergo negative frequency-dependent selection dynamics and selective sweeps. Conclusion: Although the models we investigated are equal in their biological motivation and interpretation, they have diverging mathematical properties both in the derived deterministic dynamics and the derived stochastic dynamics. We find that models that do not consider intraspecific competition and that include ecological dynamics by letting the population size vary, lose genotypes -and thus Red Queen oscillations -faster than models with competition and a fixed population size.*schenk@evolbio.mpg.de 1 Background 1 Diversity, induced by continuous co-evolution can theoretically be maintained by the intense an-2 tagonistic relationship of hosts and parasites. This is the central part of the Red Queen hypothesis, 3 verbally first formulated by van Valen in 1973 [1]. The hypothesis has been mathematically formu-4 lated in many models. However, owing to the modern usage of the term 'Red Queen' for different 5 but related phenomena [2,3,4,5,6,7,8,9], the models have diverging foci and many lack the 6 implementation of stochastic forces and ecological dynamics. A common synonym for the term 7 Red Queen dynamics is fluctuating selection dynamics (FSD). Such fluctuations can be induced by 8 co-evolving hosts and parasites and, as one possibility, be driven by negative frequency-dependent 9 selection (NFDS), wher...

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R ed Q ueen Theory

Cited by 2 publications

References 51 publications

How long do Red Queen dynamics survive under genetic drift? A comparative analysis of evolutionary and eco-evolutionary models

How long do Red Queen dynamics survive under genetic drift? A comparative analysis of evolutionary and eco-evolutionary models

How long do Red Queen dynamics survive under genetic drift? A comparative analysis of evolutionary and eco-evolutionary models

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