Modeling the population dynamics of annual plants with seed bank and density dependent effects
1995
Jarry, Marc | Khaladi, Mohamed | Hossaert-Mckey, Martine | Mckey, Doyle | Laboratoire de Mathématiques appliquées de Pau (LMAP) ; Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS) | Université Cadi Ayyad [Marrakech] (UCA) | Centre d’Ecologie Fonctionnelle et Evolutive (CEFE) ; Université Paul-Valéry - Montpellier 3 (UPVM)-Institut National de la Recherche Agronomique (INRA)-Centre international d'études supérieures en sciences agronomiques (Montpellier SupAgro)-École Pratique des Hautes Études (EPHE) ; Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS)-Institut de Recherche pour le Développement (IRD [France-Sud])-Institut national d’études supérieures agronomiques de Montpellier (Montpellier SupAgro) | Department of Biology [Miami] ; University of Miami [Coral Gables] | his work was supported by the C.N.R.S., who granted a research leave of absence to Martine Hossaert-McKey to conduct field studies on Sesbania; by the Programme Environnement of C.N~R.S; and by a General Research Support Award from the Research Council of the University of Miami to Doyle McKey and Martine Hossaert McKey.
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Mostrar más [+] Menos [-]Inglés. A model is proposed for the population dynamics of an annual plant (Sesbania vesicaria) with a seed bank (i.e. in which a proportion of seeds remain dormant for at least one year). A simple linear matrix model is deduced from the life cycle graph. The dominant eigenvalue of the projection matrix is estimated from demographic parameters derived from field studies. The estimated values for population growth rate (λ) indicates that the study population should be experiencing a rapid exponential increase, but this was not the case in our population.The addition of density dependent effects on seedling survivorship and adult fecundity, effects for which field studies provide evidence, considerably improves our model. Depending on the demographic parameters, the model leads to stable equilibrium, oscillations, or chaos. Study of the behaviour of this model in the parameter space shows that the existence of a seed bank allows higher among-year variation of adult fecundity, without leaving the region of demographic stability. Field data obtained over 3 years confirm this prediction.
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