Evolutionary and population dynamics: A coupled approach

Cremer, Jonas; Melbinger, Anna; Frey, Erwin

doi:10.1103/physreve.84.051921

Cited by 53 publications

(86 citation statements)

References 94 publications

(179 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Previous studies, beautifully combining theoretical and experimental approaches in microbes have shown that how often populations undergo bottleneck events as well as their actual size can determine the eco-evolutionary trajectory [16,17,61]. Bottleneck events are not just important for the evolution of fixation of traits in a microbial system itself but can act as a mechanism of transition from one level of organization to the next.…”

Section: Discussionmentioning

confidence: 99%

See 1 more Smart Citation

Disentangling eco-evolutionary effects on trait fixation

Czuppon

Gokhale

2018

Preprint

View full text Add to dashboard Cite

In population genetics, fixation of traits in a demographically changing population under frequencyindependent selection has been extensively analyzed. In evolutionary game theory, models of fixation have typically focused on fixed population sizes and frequency-dependent selection. However, combining ecological fluctuations with frequency-dependent interactions such as Lotka-Volterra dynamics and thus the analysis of eco-evolutionary fixation has received comparatively little attention. Here, we consider a two-type stochastic competitive Lotka-Volterra model with higher order interactions. The emerging individual based model allows for stochastic fluctuations not just in the frequencies of the two types but the total population size as well. Assuming weak selective di↵erences between the traits we approximate the fixation probability for di↵ering competition coe cients. We find that it resembles qualitatively the corresponding evolutionary deterministic dynamics within a population of fixed size. Furthermore, we analyze and partially disentangle the selection e↵ects into their ecological and evolutionary components. Concretely, we show that the evolutionary selection intensity has a larger e↵ect on the predictive power of our approximation than the ecological selection. However, the fixed points themselves are also a↵ected by the selection intensity which implies that a clean separation of the ecological and evolutionary impacts on the evolutionary outcome of the model is not possible. The entanglement of eco-evolutionary processes in a co-evolutionary system is thus a reality which needs to be considered when determining the fixation properties in populations of fluctuating size.

show abstract

Section: Discussionmentioning

confidence: 99%

“…Evolutionary dynamics of two traits, e.g. cooperators and cheaters, has been studied in evolutionary models inspired by microbial experiments [1,12,16,17,35].…”

Section: Introductionmentioning

confidence: 99%

Disentangling eco-evolutionary effects on trait fixation

Czuppon

Gokhale

2018

Preprint

View full text Add to dashboard Cite

show abstract

“…For a more complete description of the well-mixed system, fluctuations due to the finite size of the system (finite N ) and an effectively limited payoff collection step (finite n) can be taken into account [37][38][39][40][41].…”

Section: Simulation Dynamics and Qualitative Behaviormentioning

confidence: 99%

Mobility, fitness collection, and the breakdown of cooperation

2013

Self Cite

View full text Add to dashboard Cite

The spatial arrangement of individuals is thought to overcome the dilemma of cooperation: When cooperators engage in clusters, they might share the benefit of cooperation while being more protected against noncooperating individuals, who benefit from cooperation but save the cost of cooperation. This is paradigmatically shown by the spatial prisoner's dilemma model. Here, we study this model in one and two spatial dimensions, but explicitly take into account that in biological setups, fitness collection and selection are separated processes occurring mostly on vastly different time scales. This separation is particularly important to understand the impact of mobility on the evolution of cooperation. We find that even small diffusive mobility strongly restricts cooperation since it enables noncooperative individuals to invade cooperative clusters. Thus, in most biological scenarios, where the mobility of competing individuals is an irrefutable fact, the spatial prisoner's dilemma alone cannot explain stable cooperation, but additional mechanisms are necessary for spatial structure to promote the evolution of cooperation. The breakdown of cooperation is analyzed in detail. We confirm the existence of a phase transition, here controlled by mobility and costs, which distinguishes between purely cooperative and noncooperative absorbing states. While in one dimension the model is in the class of the voter model, it belongs to the directed percolation universality class in two dimensions.

show abstract

“…Several studies (both experimental and theoretical) have suggested that spatial structuring may play a key role in the maintenance of cooperation in nature (18)(19)(20)(21). Moreover, previous studies have shown that population dynamics can play a key role in maintaining cooperative alleles (22,23). Thus, we hypothesized that the population dynamics of expanding populations might support the maintenance of cooperation in nature.…”

mentioning

confidence: 91%

Range expansion promotes cooperation in an experimental microbial metapopulation

Datta¹,

Korolev

Cvijović

et al. 2013

Proc. Natl. Acad. Sci. U.S.A.

View full text Add to dashboard Cite

Natural populations throughout the tree of life undergo range expansions in response to changes in the environment. Recent theoretical work suggests that range expansions can have a strong effect on evolution, even leading to the fixation of deleterious alleles that would normally be outcompeted in the absence of migration. However, little is known about how range expansions might influence alleles under frequency-or density-dependent selection. Moreover, there is very little experimental evidence to complement existing theory, since expanding populations are difficult to study in the natural environment. In this study, we have used a yeast experimental system to explore the effect of range expansions on the maintenance of cooperative behaviors, which commonly display frequency-and density-dependent selection and are widespread in nature. We found that range expansions favor the maintenance of cooperation in two ways: (i) through the enrichment of cooperators at the front of the expanding population and (ii) by allowing cooperators to "outrun" an invading wave of defectors. In this system, cooperation is enhanced through the coupling of population ecology and evolutionary dynamics in expanding populations, thus providing experimental evidence for a unique mechanism through which cooperative behaviors could be maintained in nature.microbes | Allee effect | eco-evolutionary feedback N atural populations often increase the geographical area that they occupy through population growth and dispersal into new territory (1-4). Such events, termed range expansions, occur repeatedly during the life history of a species in response to changes in the environment (for instance, forest fires or seasonal changes in climate) as well as changes in phenotype that allow the species to colonize regions that were previously inaccessible to them (1, 5). Despite their widespread occurrence, the effect of range expansions on genetic diversity has only begun to be explored. Recent theoretical analyses suggest that genetic drift on the low-density front of an expanding population can lead to the fixation of neutral (or even deleterious) alleles in a way that mimics positive selection (6, 7). This effect, known as "allele surfing," is a stochastic effect that has been demonstrated experimentally for neutral alleles in expanding bacterial colonies (8) and was recently suggested to underlie the global patterns of human phenotypic variation observed today (9-11).Here, we chose to study the maintenance of cooperative alleles in the context of populations undergoing range expansions. By definition, a "cooperator" provides a benefit to other members of the population at a cost to itself (12). Examples of cooperation are ubiquitous in the wild, ranging from siderophore production in bacteria to the formation of communities in human populations (12-15). However, given the appearance of "defectors" that exploit the benefit provided by the cooperators without incurring the cost, explaining the origin and maintenance of cooperation in nature remains...

show abstract

Evolutionary and population dynamics: A coupled approach

Cited by 53 publications

References 94 publications

Disentangling eco-evolutionary effects on trait fixation

Disentangling eco-evolutionary effects on trait fixation

Mobility, fitness collection, and the breakdown of cooperation

Range expansion promotes cooperation in an experimental microbial metapopulation

Contact Info

Product

Resources

About