The effect of competition and horizontal ...
Type de document :
Compte-rendu et recension critique d'ouvrage
Titre :
The effect of competition and horizontal trait inheritance on invasion, fixation and polymorphism
Auteur(s) :
Billiard, Sylvain [Auteur]
Évolution, Écologie et Paléontologie (Evo-Eco-Paleo) - UMR 8198 [Evo-Eco-Paléo (EEP)]
Collet, Pierre [Auteur]
Centre de Physique Théorique [Palaiseau] [CPHT]
Ferrière, Régis [Auteur]
Department of Ecology and Evolutionary Biology [University of Arizona]
Eco-évolution mathématique - IBENS
Méléard, Sylvie [Auteur]
Centre de Mathématiques Appliquées - Ecole Polytechnique [CMAP]
Tran, Chi [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Évolution, Écologie et Paléontologie (Evo-Eco-Paleo) - UMR 8198 [Evo-Eco-Paléo (EEP)]
Collet, Pierre [Auteur]
Centre de Physique Théorique [Palaiseau] [CPHT]
Ferrière, Régis [Auteur]
Department of Ecology and Evolutionary Biology [University of Arizona]
Eco-évolution mathématique - IBENS
Méléard, Sylvie [Auteur]
Centre de Mathématiques Appliquées - Ecole Polytechnique [CMAP]
Tran, Chi [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Titre de la revue :
Journal of Theoretical Biology
Pagination :
48-58
Éditeur :
Elsevier
Date de publication :
2016-12-21
ISSN :
0022-5193
Mot(s)-clé(s) en anglais :
horizontal gene transfer
bacterial conjugation
plasmid
mobile genetic elements
fixation probability
stochastic individual-based models and their limits
bacterial conjugation
plasmid
mobile genetic elements
fixation probability
stochastic individual-based models and their limits
Discipline(s) HAL :
Mathématiques [math]/Probabilités [math.PR]
Sciences de l'environnement/Biodiversité et Ecologie
Mathématiques [math]/Systèmes dynamiques [math.DS]
Sciences du Vivant [q-bio]/Ecologie, Environnement/Interactions entre organismes
Sciences du Vivant [q-bio]/Santé publique et épidémiologie
Sciences du Vivant [q-bio]/Biodiversité/Evolution [q-bio.PE]
Sciences de l'environnement/Biodiversité et Ecologie
Mathématiques [math]/Systèmes dynamiques [math.DS]
Sciences du Vivant [q-bio]/Ecologie, Environnement/Interactions entre organismes
Sciences du Vivant [q-bio]/Santé publique et épidémiologie
Sciences du Vivant [q-bio]/Biodiversité/Evolution [q-bio.PE]
Résumé en anglais : [en]
Horizontal transfer (HT) of heritable information or 'traits' (carried by genetic elements, plasmids, endosymbionts, or culture) is widespread among living organisms. Yet current ecological and evolutionary theory addressing ...
Lire la suite >Horizontal transfer (HT) of heritable information or 'traits' (carried by genetic elements, plasmids, endosymbionts, or culture) is widespread among living organisms. Yet current ecological and evolutionary theory addressing HT is scant. We present a modeling framework for the dynamics of two populations that compete for resources and horizontally exchange (transfer) an otherwise vertically inherited trait. Competition infuences individual demographics, thereby affecting population size, which feeds back on the dynamics of transfer. This feedback is captured in a stochastic individual-based model, from which we derive a general model for the contact rate, with frequency-dependent (FD) and density-dependent (DD) rates as special cases. Taking a large-population limit on the stochastic individual-level model yields a deterministic Lotka-Volterra competition system with additional terms accounting for HT. The stability analysis of this system shows that HT can revert the direction of selection: HT can drive invasion of a deleterious trait, or prevent invasion of an advantageous trait. Due to HT, invasion does not necessarily imply fixation. Two trait values may coexist in a stable polymorphism even if their invasion fitnesses have opposite signs, or both are negative. Adressing the question of how the stochasticity of individual processes influences population fluctuations, we identify conditions on competition and mode of transfer (FD versus DD) under which the stochasticity of transfer events overwhelms demographic stochasticity. Assuming that one trait is initially rare, we derive invasion and fixation probabilities and time. In the case of costly plasmids, which are transfered unilaterally, invasion is always possible if the transfer rate is large enough; under DD and for intermediate values of the transfer rate, maintenance of the plasmid in a polymorphic population is possible. In conclusion, HT interacts with ecology (competition) in non-trivial ways. Our model provides a basis to study the influence of HT on evolutionary adaptation.Lire moins >
Lire la suite >Horizontal transfer (HT) of heritable information or 'traits' (carried by genetic elements, plasmids, endosymbionts, or culture) is widespread among living organisms. Yet current ecological and evolutionary theory addressing HT is scant. We present a modeling framework for the dynamics of two populations that compete for resources and horizontally exchange (transfer) an otherwise vertically inherited trait. Competition infuences individual demographics, thereby affecting population size, which feeds back on the dynamics of transfer. This feedback is captured in a stochastic individual-based model, from which we derive a general model for the contact rate, with frequency-dependent (FD) and density-dependent (DD) rates as special cases. Taking a large-population limit on the stochastic individual-level model yields a deterministic Lotka-Volterra competition system with additional terms accounting for HT. The stability analysis of this system shows that HT can revert the direction of selection: HT can drive invasion of a deleterious trait, or prevent invasion of an advantageous trait. Due to HT, invasion does not necessarily imply fixation. Two trait values may coexist in a stable polymorphism even if their invasion fitnesses have opposite signs, or both are negative. Adressing the question of how the stochasticity of individual processes influences population fluctuations, we identify conditions on competition and mode of transfer (FD versus DD) under which the stochasticity of transfer events overwhelms demographic stochasticity. Assuming that one trait is initially rare, we derive invasion and fixation probabilities and time. In the case of costly plasmids, which are transfered unilaterally, invasion is always possible if the transfer rate is large enough; under DD and for intermediate values of the transfer rate, maintenance of the plasmid in a polymorphic population is possible. In conclusion, HT interacts with ecology (competition) in non-trivial ways. Our model provides a basis to study the influence of HT on evolutionary adaptation.Lire moins >
Langue :
Anglais
Vulgarisation :
Non
Projet ANR :
Source :
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