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Vessman, B., Gerlee, P. och Lundh, T. (2016) *Estimating the probability of coexistence in cross-feeding communities*.

** BibTeX **

@article{

Vessman2016,

author={Vessman, Björn and Gerlee, Philip and Lundh, Torbjörn},

title={Estimating the probability of coexistence in cross-feeding communities},

journal={Journal of Theoretical Biology},

issn={0022-5193},

volume={408},

issue={7},

pages={13-21},

abstract={The dynamics of many microbial ecosystems are driven by cross-feeding interactions, in which metabolites excreted by some species are metabolised further by others. The population dynamics of such ecosystems are governed by frequency-dependent selection, which allows for stable coexistence of two or more species. We have analysed a model of cross-feeding based on the replicator equation, with the aim of establishing criteria for coexistence in ecosystems containing three species, given the information of the three species’ ability to coexist in their three separate pairs, i.e. the long term dynamics in the three two-species component systems. The triple-system is studied statistically and the probability of coexistence in the species triplet is computed for two models of species interactions. The interaction parameters are modelled either as stochastically independent or organised in a hierarchy where any derived metabolite carries less energy than previous nutrients in the metabolic chain. We differentiate between different modes of coexistence with respect to the pair-wise dynamics of the species, and find that the probability of coexistence is close to 1/2 for triplet systems with three pair-wise coexistent pairs and for the so-called intransitive systems. Systems with two and one pair-wise coexistent pairs are more likely to exist for random interaction parameters, but are on the other hand much less likely to exhibit triplet coexistence. Hence we conclude that certain species triplets are, from a statistical point of view, rare, but if allowed to interact are likely to coexist. This knowledge might be helpful when constructing synthetic microbial communities for industrial purposes.},

year={2016},

keywords={Population dynamics; Replicator equation; Permanence; Stability},

}

** RefWorks **

RT Journal Article

SR Electronic

ID 240293

A1 Vessman, Björn

A1 Gerlee, Philip

A1 Lundh, Torbjörn

T1 Estimating the probability of coexistence in cross-feeding communities

YR 2016

JF Journal of Theoretical Biology

SN 0022-5193

VO 408

IS 7

SP 13

OP 21

AB The dynamics of many microbial ecosystems are driven by cross-feeding interactions, in which metabolites excreted by some species are metabolised further by others. The population dynamics of such ecosystems are governed by frequency-dependent selection, which allows for stable coexistence of two or more species. We have analysed a model of cross-feeding based on the replicator equation, with the aim of establishing criteria for coexistence in ecosystems containing three species, given the information of the three species’ ability to coexist in their three separate pairs, i.e. the long term dynamics in the three two-species component systems. The triple-system is studied statistically and the probability of coexistence in the species triplet is computed for two models of species interactions. The interaction parameters are modelled either as stochastically independent or organised in a hierarchy where any derived metabolite carries less energy than previous nutrients in the metabolic chain. We differentiate between different modes of coexistence with respect to the pair-wise dynamics of the species, and find that the probability of coexistence is close to 1/2 for triplet systems with three pair-wise coexistent pairs and for the so-called intransitive systems. Systems with two and one pair-wise coexistent pairs are more likely to exist for random interaction parameters, but are on the other hand much less likely to exhibit triplet coexistence. Hence we conclude that certain species triplets are, from a statistical point of view, rare, but if allowed to interact are likely to coexist. This knowledge might be helpful when constructing synthetic microbial communities for industrial purposes.

LA eng

DO 10.1016/j.jtbi.2016.07.043

LK http://dx.doi.org/10.1016/j.jtbi.2016.07.043

LK http://publications.lib.chalmers.se/records/fulltext/240293/local_240293.pdf

OL 30