Growth, competition and cooperation in spatial population genetics

Pigolotti, Simone; Benzi, Roberto; Perlekar, Prasad; Jensen, Mogens H.; Toschi, Federico; Nelson, David R.

doi:10.1016/j.tpb.2012.12.002

Cited by 44 publications

(102 citation statements)

References 31 publications

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“…Some of these combinations were similar to models from the literature, including those shown in [27], consumer-resource mutualism [20] and cascade predation [18].…”

Section: )supporting

confidence: 72%

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Generic assembly patterns in complex ecological communities

Barbier¹,

Arnoldi²,

Bunin

et al. 2017

Preprint

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Ecological communities have mainly been investigated theoretically in two ways: piecewise, a few species at a time; or as complex networks, simulated in exhaustive detail. But our empirical knowledge of networks is limited, and the space of simulation models and parameters is mindbogglingly vast. We show that a large fraction of that space of possibilities exhibits generic dynamics, which can be predicted from a single minimal model. To demonstrate this, we consider a wide array of ecological models, from resource competition to predation and mutualism, known to display very different behaviors for a few species. We simulate large communities, and show that equilibrium diversity, functioning and stability can often be predicted analytically from only four broad statistical properties of the community. Our approach provides a convenient framework for exploring generic patterns in ecosystem assembly and quantifying the added value of detailed models and measurements.

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“…Some of these combinations were similar to models from the literature, including those shown in [27], consumer-resource mutualism [20] and cascade predation [18].…”

Section: )supporting

confidence: 72%

“…http://dx.doi.org/10.1101/145862 doi: bioRxiv preprint first posted online Jun. 4, 2017; handling time for predators [26] or competition with close neighbors in space [27].…”

Section: )mentioning

confidence: 99%

Generic assembly patterns in complex ecological communities

Barbier¹,

Arnoldi²,

Bunin

et al. 2017

Preprint

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“…The denominator is known as the heterozygosity in genetics [15], and represents the probability that two individuals chosen at random without regard of the network are of opposite types. Fig.…”

Section: Da 10mentioning

confidence: 99%

“…Several studies suggest that patchiness in plankton populations is related to the Damköhler number characterising the ratio between the time scales associated with the flow and the biological processes respectively [5,6,11]. Theoretical models have been used to study the dynamics of species coexistence in flowing environments [6][7][8][12][13][14][15][16]. Some of this work focuses on the emerging spatial structures, including the formation of filaments in chaotic flows [4,5,17].…”

Section: Introductionmentioning

confidence: 99%

Time scales and species coexistence in chaotic flows

Galla¹,

Pérez‐Muñuzuri

2017

EPL

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Empirical observations in marine ecosystems have suggested a balance of biological and advection time scales as a possible explanation of species coexistence. To characterise this scenario, we measure the time to fixation in neutrally evolving populations in chaotic flows. Contrary to intuition the variation of time scales does not interpolate straightforwardly between the no-flow and well-mixed limits; instead we find that fixation is the slowest at intermediate Damköhler numbers, indicating long-lasting coexistence of species. Our analysis shows that this slowdown is due to spatial organisation on an increasingly modularised network. We also find that diffusion can either slow down or speed up fixation, depending on the relative time scales of flow and evolution.

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“…Studies designed to investigate the role of demographic noise use the stochastic variants of Eq. (1.1) [10,[36][37][38][39][40].…”

Section: Introductionmentioning

confidence: 99%

Spreading of nonmotile bacteria on a hard agar plate: Comparison between agent-based and stochastic simulations

2017

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We study spreading of a non-motile bacteria colony on a hard agar plate by using agent-based and continuum models. We show that the spreading dynamics depends on the initial nutrient concentration, the motility and the inherent demographic noise. Population fluctuations are inherent in an agent based model whereas, for the continuum model we model them by using a stochastic Langevin equation. We show that the intrinsic population fluctuations coupled with non-linear diffusivity lead to a transition from Diffusion Limited Aggregation (DLA) type morphology to an Eden-like morphology on decreasing the initial nutrient concentration.

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Growth, competition and cooperation in spatial population genetics

Cited by 44 publications

References 31 publications

Generic assembly patterns in complex ecological communities

Generic assembly patterns in complex ecological communities

Time scales and species coexistence in chaotic flows

Spreading of nonmotile bacteria on a hard agar plate: Comparison between agent-based and stochastic simulations

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