12 citations · 21 across the 10 of their papers we have counts for
13 papers
Continuous limits of large plant-pollinator random networks and some applications
Sylvain Billiard, Hélène Leman, Thomas Rey +1
We study a stochastic individual-based model of interacting plant and pollinator species through a bipartite graph: each species is a node of the graph, an edge representing intera…
A paradigm shift, or a paradigm adjustment? The evolution of the Oleaceae mating system as a small-scale Kuhnian case-study
A. Francq, P. Saumitou-Laprade, P. Vernet +1
Kuhn (1962) proposed an evolutionary model to explain how scientific knowledge is built, based on the concept of paradigm. Even though Kuhn's model is general, it has been applied…
Convergence of knowledge in a cultural evolution model with population structure, random social learning and credibility biases
Sylvain Billiard, Maxime Derex, Ludovic Maisonneuve +1
Understanding how knowledge is created and propagates within groups is crucial to explain how human populations have evolved through time. Anthropologists have relied on different…
Inference with selection, varying population size and evolving population structure: Application of ABC to a forward-backward coalescent process with interactions
Clotilde Lepers, Sylvain Billiard, Matthieu Porte +2
Genetic data are often used to infer demographic history and changes or detect genes under selection. Inferential methods are commonly based on models making various strong assumpt…
Identifying conversion efficiency as a key mechanism underlying food webs evolution : a step forward, or backward ?
Coralie Fritsch, Sylvain Billiard, Nicolas Champagnat
Body size or mass is one of the main factors underlying food webs structure. A large number of evolutionary models have shown that indeed, the adaptive evolution of body size (or m…
Rejuvenating functional responses with renewal theory
S. Billiard, V. Bansaye, J. -R. Chazottes
Functional responses are widely used to describe interactions and resources exchange between individuals in ecology. The form given to functional responses dramatically affects the…
Stochastic dynamics for adaptation and evolution of microorganisms
Sylvain Billiard, Pierre Collet, Régis Ferrière +2
We present a model for the dynamics of a population of bacteria with a continuum of traits, who compete for resources and exchange horizontally (transfer) an otherwise vertically i…
Stochastic dynamics of three competing clones: Conditions and times for invasion, coexistence and fixation
Sylvain Billiard, Charline Smadi
In large clonal populations, several clones generally compete which results in complex evolutionary and ecological dynamics: experiments show successive selective sweeps of favorab…
Perennial life-histories and demographic advantages may play contradictory roles in the evolution of plant mating systems
Diala Abu Awad, Viet-Chi Tran, Sylvain Billiard
When predicting the fate and consequences of recurring deleterious mutations in self-fertilising populations most models developed make the assumption that populations have discret…
The effect of competition and horizontal trait inheritance on invasion, fixation and polymorphism
Sylvain Billiard, Pierre Collet, Régis Ferrière +2
Horizontal transfer (HT) of heritable information or `traits' (carried by genetic elements, endosymbionts, or culture) is widespread among living organisms. Yet current ecological…
The interplay of two mutations in a population of varying size: a stochastic eco-evolutionary model for clonal interference
Sylvain Billiard, Charline Smadi
Clonal interference, competition between multiple co-occurring beneficial mutations, has a major role in adaptation of asexual populations. We provide a simple individual based sto…
Stochastic dynamics of adaptive trait and neutral marker driven by eco-evolutionary feedbacks
Sylvain Billiard, Regis Ferriere, Sylvie Méléard +1
How the neutral diversity is affected by selection and adaptation is investigated in an eco-evolutionary framework. In our model, we study a finite population in continuous time, w…
A general stochastic model for sporophytic self-incompatibility
Sylvain Billiard, Viet Chi Tran
Disentangling the processes leading populations to extinction is a major topic in ecology and conservation biology. The difficulty to find a mate in many species is one of these pr…