Metacommunities, fitness and gradual evolution

Priklopil, Tadeas; Lehmann, Laurent

doi:10.1016/j.tpb.2021.09.002

Cited by 9 publications

(22 citation statements)

References 71 publications

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“…In other words, . This in turn implies that asymptotically the allele frequency either increases or decreases until the allele i either fixes in the population or goes extinct and this invasion implies substitution process applies to spatially structured populations as well [Priklopil and Lehmann, 2021]. Finally, we note that if one were to use, for instance, the partitioning given in eq.…”

Section: Mean Fitness In a Multigenerational Evolutionary Processmentioning

confidence: 99%

“…( 7) of Lion [2018] for the phenotypic change in a panmictic population and to eq. ( 69) of Priklopil and Lehmann [2021] for allele-frequency change in a spatially structured population. At this stage, it seems natural to ask whether one can summarize the action of natural selection over the multigenerational process by a single number -a representation of mean fitness -that would predict whether the allele frequency increases or decreases as a result of selection?…”

Section: Disentangling Selection From Class Transmissionmentioning

confidence: 99%

“…Assuming the fitness functions to be continuous, a small parameter δ implies i and j having closely similar phenotypes, and hence having closely similar fitness functions, leading to weak selection. As this model is a discrete-time special case of previous models where the evolutionary dynamics under phenotypic similarity (weak selection) has been analysed in detail [Priklopil and Lehmann, 2020, 2021], we refer the reader to this earlier literature for further discussion. Now, consider the evolutionary process over some arbitrary , and consider the change in allele frequency over a single generation as prescribed in the main text where the second equality follows from rearrangement using the definition of individual fitness functions. As we are interested in the dynamics for small values of δ we Taylor expand eq.…”

Section: Single-generation Changementioning

confidence: 99%

“…(A60) is fully determined by selection because both variables p t | t 0 ( b | i ) and p t ( b ) in the expression for class transmission in eq. (A60) follow the exact same recursion where y t ( b ) = p t | t 0 ( b | i ) or y t ( b ) = p t ( b ), and hence their derivatives are also equal and the entire derivative of class transmission is 0. Now, timescale separation arguments applied to class-structured populations [Priklopil and Lehmann, 2020, 2021] tell us that the change in allele frequency (eq. A60) is first governed by class transmission according to eq.…”

Section: Single-generation Changementioning

confidence: 99%

Section: Single-generation Changementioning

confidence: 99%

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On the interpretation of the operation of natural selection in class-structured populations

Lehmann

Priklopil

2022

Preprint

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Biological adaptation is the outcome of allele-frequency change by natural selection. At the same time, populations are usually class structured as individuals occupy different states such as sex, stage or age. This is known to result in the differential transmission of alleles called class transmission, and thus also affects allele-frequency change even in the absence of selection. How does one then isolate the allele-frequency change due to selection from that owing to class transmission? We show how reproductive values can be used to decompose multigenerational arithmetic allele-frequency change between any two generations of the evolutionary process in terms of effects of selection and class transmission. This provides a missing relationship between allele-frequency change and the operation of selection. It allows to define an appropriate measure of fitness summarizing the effect of selection in a multigenerational process, which connects asymptotically to invasion fitness and quantitative trait evolution under weak selection.

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Section: Mean Fitness In a Multigenerational Evolutionary Processmentioning

confidence: 99%

Section: Disentangling Selection From Class Transmissionmentioning

confidence: 99%

Section: Single-generation Changementioning

confidence: 99%

Section: Single-generation Changementioning

confidence: 99%

Section: Single-generation Changementioning

confidence: 99%

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On the interpretation of the operation of natural selection in class-structured populations

Lehmann

Priklopil

2022

Preprint

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Evolution of Semi-Kantian Preferences in Two-Player Assortative Interactions with Complete and Incomplete Information and Plasticity

Alger,

Lehmann

2023

Dyn Games Appl

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We model the evolution of preferences guiding behavior in pairwise interactions in group-structured populations. The model uses long-term evolution theory to examine different interaction scenarios, including conditional preference expression upon recognition of the partner’s type. We apply the model to the evolution of semi-Kantian preferences at the fitness level, which combine self-interest and a Kantian interest evaluating own behavior in terms of consequences for own fitness if the partner also adopted this behavior. We seek the convergence stable and uninvadable value of the Kantian coefficient, i.e., the weight attached to the Kantian interest, a quantitative trait varying between zero and one. We consider three scenarios: (a) incomplete information; (b) complete information and incomplete plasticity; and (c) complete information and complete plasticity, where individuals not only recognize the type of their interaction partner (complete information), but also conditionally express the Kantian coefficient upon it (complete plasticity). For (a), the Kantian coefficient generally evolves to equal the coefficient of neutral relatedness between interacting individuals; for (b), it evolves to a value that depends on demographic and interaction assumptions, while for (c) there are generally multiple uninvadable types, including the type whereby an individual is a pure Kantian when interacting with individuals of the same type and applies the Kantian coefficient that is uninvadable under complete information with zero relatedness when interacting with a different typed individual. Overall, our model connects several concepts for analysing the evolution of behavior rules for strategic interactions that have been emphasized in different and sometimes isolated studies.

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Metacommunities, fitness and gradual evolution

Cited by 9 publications

References 71 publications

On the interpretation of the operation of natural selection in class-structured populations

On the interpretation of the operation of natural selection in class-structured populations

Evolution of Semi-Kantian Preferences in Two-Player Assortative Interactions with Complete and Incomplete Information and Plasticity

Hamilton’s rule, the evolution of behavior rules and the wizardry of control theory

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