Public goods games in populations with fluctuating size

McAvoy, Alex; Fraiman, Nicolás; Hauert, Christoph; Wakeley, John; Nowak, Martin A.

doi:10.1016/j.tpb.2018.01.004

Cited by 40 publications

(22 citation statements)

References 76 publications

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“…Classical equations of ecology such as the co-evolutionary Lotka-Volterra dynamics have to be re-evaluated when finite populations are considered [33,72]. Recent studies explicitly include evolutionary game dynamics into an ecological framework [8,19,32,47,59,96]. In these models, one challenge is to re-interpret game interactions in terms of ecological dynamics so as to make sense in a fluctuating population size scenario.…”

Section: Introductionmentioning

confidence: 99%

Disentangling eco-evolutionary effects on trait fixation

Czuppon

Gokhale

2018

Preprint

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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.

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Section: Introductionmentioning

confidence: 99%

Disentangling eco-evolutionary effects on trait fixation

Czuppon

Gokhale

2018

Preprint

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“…With approximations (20), (33), and (34), the exact system (9)-(10) becomes the following reaction-diffusion system…”

Section: Local Mean-field Approximationmentioning

confidence: 99%

“…Further progress in the field considered births and deaths: The second step of the dynamics, the one that allows a change of the strategy, is now interpreted as a death of a player followed by a birth. The new ecologic perspective allowed to assess the importance of new relevant issues, such as the fluctuation of the population density [17][18][19][20], the movement of agents [21][22][23][24][25], the spatial distribution of neighbours and their number [26,27], among others. Recent works also consider networks of interactions [7,12,[28][29][30][31][32], focus on the critical properties of the system [33][34][35], include other novel dynamic rules [36][37][38][39][40][41][42], analyze the formation of patterns [13,[43][44][45][46][47], and evaluate the effect on the population growing as external pressure rises [48].…”

Section: Introductionmentioning

confidence: 99%

Altruism in populations at the extinction transition

Klemm

Khalil

2020

Phys. Rev. Research

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We study the evolution of cooperation as a birth-death process in spatially extended populations. The benefit from the altruistic behavior of a cooperator is implemented by decreasing the death rate of its direct neighbours. The cost of cooperation is the increase of a cooperator's death rate proportional to the number of its neighbors. For any benefit-cost ratio above 1, the stable stationary concentrations of agents pass through four regimes as the baseline death rate p increases: (i) defection only, (ii) coexistence, (iii) cooperation only, (iv) extinction. We investigate the transitions between these regimes. Qualitatively identical phase diagrams are obtained for populations on square lattices and in pair approximation. Spatial correlations with nearest neighbours only are thus sufficient for sustained cooperation. arXiv:1906.04202v1 [q-bio.PE]

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“…However, when placed in competition with other demes the niche acts as a common-pool resource, in other words it is nonexcludable and limited. Therefore, if 2 demes compete and extract from this common-pool resource, the one with the lowest allocation towards niche construction dominates, eventually pushing the other to extinction (23). The faster producer, in this case the deme free-riding on the constructed niche, wins in the struggle for existence.…”

Section: R a F Tmentioning

confidence: 99%

Expansion, Exploitation and Extinction: Niche Construction in Ephemeral Landscapes

Wetherington

Keymer

2018

Preprint

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We developed an interacting particle system (IPS) to study the effect of niche construction on metapopulation dynamics in ephemeral landscapes. Using finite scaling theory, we find a divergence in the qualitative behavior at the extinction threshold between analytic (mean field) and numerical (IPS) results when niche construction is confined to a small area in the spatial model. While increasing the area of niche construction leads to a faster rate of range expansion, it also causes a shift from a continuous to discontinuous phase transition, thus returning to the mean field prediction. Furthermore, in the discontinuous regime of the IPS, spatial clustering prior to a critical transition disappears. This is a significant finding as spatial clustering has been considered to be an early warning signal before ecosystems reach their 'tipping point'. In addition to maintaining stability, we find this local niche construction strategy has an advantage when in competition with an exploiter because of their ability to monopolize the constructed niche due to spatial adjacency. However, as the niche construction neighborhood expands this advantage disappears and the exploiter strategy out-competes the niche constructor. In some cases the exploiter pushes the niche constructor to extinction, thus a tragedy of the commons ensues leading to ecological suicide and a collapse of the niche.Niche Construction | Metapopulation Dynamics | Critical Transitions | Ecological Suicide | Ephemeral Landscapes U nderstanding the co-regulatory feedback between living systems and their environment is a primary goal driving ecological research (1-3). In principle, this entails the emergence and/or maintenance of self, whether that self is a single cell (4), multicellular organism (5), population (6) or the biosphere (7). Due to the breadth of this concept, a primary task has been to partition it into spatial and temporal scales (8), as well as identify the critical units of selection (9, 10). Over the past quartercentury, research has primarily focused on studying the differences between ecological and evolutionary dynamics (3, 11), most notable of these are the closely related concepts, ecosystem engineering and niche construction. Ecosystem engineering occurs . . Significance StatementMany populations do not exist passively in their environment. Niche construction theory tells us the co-regulatory feedback between a population and its localized environment can have significant impacts on the evolutionary trajectory and ecological stability of the population and broader community. However, if this feedback is not tightly coupled to the niche construction strategy it is left susceptible to exploitation. In some instances this can lead to ecological suicide, where both constructor and exploiter are driven to extinction. This study emphasizes the importance of being spatial when considering the ecological implications of niche construction. Along with adding to the development of niche construction theory, this work has implications for our und...

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Public goods games in populations with fluctuating size

Cited by 40 publications

References 76 publications

Disentangling eco-evolutionary effects on trait fixation

Disentangling eco-evolutionary effects on trait fixation

Altruism in populations at the extinction transition

Expansion, Exploitation and Extinction: Niche Construction in Ephemeral Landscapes

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