151. Predicting coexistence of plants subject to a tolerance-competition trade-off
- Author
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Tewfik Sari, Rampal S. Etienne, Bart Haegeman, Modelling and Optimisation of the Dynamics of Ecosystems with MICro-organisme (MODEMIC), Inria Sophia Antipolis - Méditerranée (CRISAM), Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Mathématiques, Informatique et STatistique pour l'Environnement et l'Agronomie (MISTEA), Institut national d’études supérieures agronomiques de Montpellier (Montpellier SupAgro)-Institut National de la Recherche Agronomique (INRA)-Institut national d’études supérieures agronomiques de Montpellier (Montpellier SupAgro)-Institut National de la Recherche Agronomique (INRA), Information – Technologies – Analyse Environnementale – Procédés Agricoles (UMR ITAP), Institut national d’études supérieures agronomiques de Montpellier (Montpellier SupAgro)-Institut national de recherche en sciences et technologies pour l'environnement et l'agriculture (IRSTEA), Community and Conservation Ecology Group [Groningen], Université de Groningen, Station d’Ecologie Expérimentale du CNRS à Moulis (SEEM), Centre National de la Recherche Scientifique (CNRS)-Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées, Institut national de recherche en sciences et technologies pour l'environnement et l'agriculture (IRSTEA)-Institut national d’études supérieures agronomiques de Montpellier (Montpellier SupAgro), Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro), Mathématiques, Informatique et STatistique pour l'Environnement et l'Agronomie (MISTEA), Institut national d’études supérieures agronomiques de Montpellier (Montpellier SupAgro), Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Institut National de la Recherche Agronomique (INRA), Centre for Ecological and Evolutionary studies [Groningen], University of Groningen [Groningen], TULIP Laboratory of Excellence : ANR-10-LABX-41, VIDI grant from the Netherlands Scientific Organization (NWO), Van Gogh programme, Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS), and Etienne group
- Subjects
0106 biological sciences ,ESPECE ,media_common.quotation_subject ,[INFO.INFO-OH]Computer Science [cs]/Other [cs.OH] ,DIVERSITY ,Stable equilibrium ,ECOLOGICAL TRADE-OFF ,COMPETITION ,ECOLOGY ,Trade-off ,Dynamical system ,Models, Biological ,010603 evolutionary biology ,01 natural sciences ,Competition (biology) ,SPECIES COEXISTENCE ,Species Specificity ,Stress, Physiological ,SYSTEMS ,GRADIENT ,Quantitative Biology - Populations and Evolution ,Ecosystem ,Plant Physiological Phenomena ,Mathematics ,media_common ,MODELE MATHEMATIQUE ,Mathematical model ,Applied Mathematics ,Populations and Evolution (q-bio.PE) ,Plant community ,Mathematical Concepts ,15. Life on land ,Agricultural and Biological Sciences (miscellaneous) ,MODEL ,010601 ecology ,MAINTENANCE ,FOS: Biological sciences ,Modeling and Simulation ,[SDE]Environmental Sciences ,Plant species ,ECOLOGIE DES COMMUNAUTES ,Stress conditions ,COMMUNITY ECOLOGY ,Biological system ,COMPETITION BIOLOGIQUE ,ECOLOGIE - Abstract
Ecological trade-offs between species are often invoked to explain species coexistence in ecological communities. However, few mathematical models have been proposed for which coexistence conditions can be characterized explicitly in terms of a trade-off. Here we present a model of a plant community which allows such a characterization. In the model plant species compete for sites where each site has a fixed stress condition. Species differ both in stress tolerance and competitive ability. Stress tolerance is quantified as the fraction of sites with stress conditions low enough to allow establishment. Competitive ability is quantified as the propensity to win the competition for empty sites. We derive the deterministic, discrete-time dynamical system for the species abundances. We prove the conditions under which plant species can coexist in a stable equilibrium. We show that the coexistence conditions can be characterized graphically, clearly illustrating the trade-off between stress tolerance and competitive ability. We compare our model with a recently proposed, continuous-time dynamical system for a tolerance-fecundity trade-off in plant communities, and we show that this model is a special case of the continuous-time version of our model., Comment: To be published in Journal of Mathematical Biology. 30 pages, 5 figures, 5 appendices
- Published
- 2014
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