Title :

A general stochastic model for sporophytic self-incompatibility

Author(s) :

Billiard, Sylvain [Auteur]
Génétique et évolution des populations végétales [GEPV]
Tran, Chi [Auteur correspondant]
Centre de Mathématiques Appliquées de l'Ecole polytechnique [CMAP]
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Journal title :

Journal of Mathematical Biology

Pages :

163-210

Publisher :

Springer

Publication date :

2012-01

ISSN :

0303-6812

English keyword(s) :

Birth and death process
ODE approximations
inhomogeneous random walk on the positive quadrant
inbreeding depression
extinction probability
mating system
distyly

HAL domain(s) :

Mathématiques [math]/Probabilités [math.PR]
Sciences de l'environnement/Biodiversité et Ecologie

English abstract : [en]

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 processes. Here, we investigate the impact ...
Show more >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 processes. Here, we investigate the impact of self-incompatibility in flowering plants, where several inter-compatible classes of individuals exist but individuals of the same class cannot mate. We model pollen limitation through different relationships between mate availability and fertilization success. After deriving a general stochastic model, we focus on the simple case of distylous plant species where only two classes of individuals exist. We first study the dynamics of such a species in a large population limit and then, we look for an approximation of the extinction probability in small populations. This leads us to consider inhomogeneous random walks on the positive quadrant. We compare the dynamics of distylous species to self-fertile species with and without inbreeding depression, to obtain the conditions under which self-incompatible species could be less sensitive to extinction while they can suffer more pollen limitation.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

ANR Project :

Modèles Aléatoires eN Ecologie, Génétique et Evolution

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL