Evolutionary Game Theory in Growing Populations

Melbinger, Anna; Cremer, Jonas; Frey, Erwin

doi:10.1103/physrevlett.105.178101

Cited by 112 publications

(141 citation statements)

References 19 publications

(32 reference statements)

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“…35,36 More recently, this approach has been altered to consider resource fluxes and dynamic population sizes. [37][38][39][40] This echoes recent developments in the more specific case of modelling biofilm formation, where both the growth of cells and the diffusion of nutrients through the bulk liquid are taken into account. [41][42][43] This approach has in recent years been extended to individual-based models, 40 where a typical example admits a limiting resource that constrains individuals' reproduction.…”

Section: B Resource Dependencementioning

confidence: 88%

The impact of resource dependence of the mechanisms of life on the spatial population dynamics of an in silico microbial community

Daly

Baetens

Baets

2016

Chaos: An Interdisciplinary Journal of Nonlinear Science

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Biodiversity has a critical impact on ecosystem functionality and stability, and thus the current biodiversity crisis has motivated many studies of the mechanisms that sustain biodiversity, a notable example being non-transitive or cyclic competition. We therefore extend existing microscopic models of communities with cyclic competition by incorporating resource dependence in demographic processes, characteristics of natural systems often oversimplified or overlooked by modellers. The spatially explicit nature of our individual-based model of three interacting species results in the formation of stable spatial structures, which have significant effects on community functioning, in agreement with experimental observations of pattern formation in microbial communities. Published by AIP Publishing.[http://dx.doi.org/10.1063/1.4972788]Biodiversity plays a crucial role in promoting and preserving the proper functioning of ecosystems.1 As a result, significant attention has been devoted to understanding the mechanisms that maintain biodiversity, 2 in particular, the role of cyclic competition. Existing microscopic models of communities with cyclic competition often significantly oversimplify or even neglect the resource-dependent nature of demographic processes. 3-6We therefore extend existing models by considering this key factor in a spatially heterogeneous landscape, to align them more closely with real-world microbial ecosystems, and to investigate how this more realistic approach affects community productivity and biodiversity. We demonstrate the consequent dramatic effects on the population dynamics of this community of three species, consistent with other modelling and experimental studies. These results have implications for the maintenance and development of natural ecosystems, as well as for pattern formation in microbial communities.

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Section: B Resource Dependencementioning

confidence: 88%

The impact of resource dependence of the mechanisms of life on the spatial population dynamics of an in silico microbial community

Daly

Baetens

Baets

2016

Chaos: An Interdisciplinary Journal of Nonlinear Science

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“…However, the current understanding of most systems where randomness is frozen or amplified is far from being complete. A recent study on group formation in small growing populations, for instance, shows that the fraction of one trait within the population (for example, cooperators) can be subject to strong fluctuations as a result of the amplification of stochastic fluctuations generated during the initial phase of the dynamics 46,47 .…”

Section: Discussionmentioning

confidence: 99%

Crackling noise in fractional percolation

2013

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Crackling noise is a common feature in many systems that are pushed slowly, the most familiar instance of which is the sound made by a sheet of paper when crumpled. In percolation and regular aggregation, clusters of any size merge until a giant component dominates the entire system. Here we establish 'fractional percolation', in which the coalescence of clusters that substantially differ in size is systematically suppressed. We identify and study percolation models that exhibit multiple jumps in the order parameter where the position and magnitude of the jumps are randomly distributed-characteristic of crackling noise. This enables us to express crackling noise as a result of the simple concept of fractional percolation. In particular, the framework allows us to link percolation with phenomena exhibiting non-self-averaging and power law fluctuations such as Barkhausen noise in ferromagnets.

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“…This is based on the understanding that birth and death events are the driving forces underlying changes in the size as well as the composition of a population [10]. Both processes are inherently stochastic and inevitably lead to demographic fluctuations whose magnitude depends on the population size.…”

Section: Discussionmentioning

confidence: 99%

“…While those studies correctly describe the evolutionary dynamics of large population sizes, they do not account for stochastic effects arising at low population sizes. These demographic fluctuations are naturally described in the theoretical framework of stochastic processes based on elementary birth and death events as recently introduced [10]. In particular, this approach allows one to explore the role of fluctuations in populations with a timevarying population size.…”

Section: Introductionmentioning

confidence: 99%

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Evolutionary and population dynamics: A coupled approach

2011

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We study the interplay of population growth and evolutionary dynamics using a stochastic model based on birth and death events. In contrast to the common assumption of an independent population size, evolution can be strongly affected by population dynamics in general. Especially for fast reproducing microbes which are subject to selection, both types of dynamics are often closely intertwined. We illustrate this by considering different growth scenarios. Depending on whether microbes die or stop to reproduce (dormancy), qualitatively different behaviors emerge. For cooperating bacteria, a permanent increase of costly cooperation can occur. Even if not permanent, cooperation can still increase transiently due to demographic fluctuations. We validate our analysis via stochastic simulations and analytic calculations. In particular, we derive a condition for an increase in the level of cooperation.

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Evolutionary Game Theory in Growing Populations

Cited by 112 publications

References 19 publications

The impact of resource dependence of the mechanisms of life on the spatial population dynamics of an in silico microbial community

The impact of resource dependence of the mechanisms of life on the spatial population dynamics of an in silico microbial community

Crackling noise in fractional percolation

Evolutionary and population dynamics: A coupled approach

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