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<title lang=en>Oscillations in Functional Structural Plant Growth Models</title>
<creator>Mathieu, Amélie</creator>
<creator>Letort, Veronique</creator>
<creator>Cournède, Paul-Henry</creator>
<creator>Zhang, Baogui</creator>
<creator>Heuret, Patrick</creator>
<creator>De Reffye, Philippe</creator>
<contributor>Environnement et Grandes Cultures (EGC) ; AgroParisTech - Institut National de la Recherche Agronomique (INRA)</contributor>
<contributor>Mathématiques Appliquées aux Systèmes - EA 4037 (MAS) ; Ecole Centrale Paris</contributor>
<contributor>Modélisation de la croissance et de l'architecture des plantes (DIGIPLANTE) ; Mathématiques Appliquées aux Systèmes - EA 4037 (MAS) ; Ecole Centrale Paris - Ecole Centrale Paris - Inria Saclay - Ile de France ; Institut National de Recherche en Informatique et en Automatique (Inria) - Institut National de Recherche en Informatique et en Automatique (Inria) - Ecole Centrale Paris - Centre de coopération internationale en recherche agronomique pour le développement [CIRAD] : UMR</contributor>
<contributor>Key Laboratory of Plant-Soil Interactions - College of Resources and Environmental Sciences (PSI) ; China Agricultural University (CAU)</contributor>
<contributor>Ecologie des forêts de Guyane (ECOFOG) ; Centre de Coopération Internationale en Recherche Agronomique pour le Développement (CIRAD) - Institut National de la Recherche Agronomique (INRA) - Université des Antilles et de la Guyane (UAG) - AgroParisTech - Centre National de la Recherche Scientifique (CNRS)</contributor>
<contributor>Botanique et Modélisation de l'Architecture des Plantes et des Végétations (UMR AMAP) ; Centre de Coopération Internationale en Recherche Agronomique pour le Développement (CIRAD) - Institut national de la recherche agronomique [Montpellier] (INRA Montpellier) - Université de Montpellier (UM) - Centre National de la Recherche Scientifique (CNRS) - Institut de Recherche pour le Développement (IRD [France-Sud])</contributor>
<description>International audience</description>
<source>ISSN: 0973-5348</source>
<source>EISSN: 1760-6101</source>
<source>Mathematical Modelling of Natural Phenomena</source>
<publisher>EDP Sciences</publisher>
<identifier>hal-00780592</identifier>
<identifier>https://hal-ecp.archives-ouvertes.fr/hal-00780592</identifier>
<identifier>https://hal-ecp.archives-ouvertes.fr/hal-00780592/document</identifier>
<identifier>https://hal-ecp.archives-ouvertes.fr/hal-00780592/file/Mathieu_2012_Published_mmnp201276p47.pdf</identifier>
<source>https://hal-ecp.archives-ouvertes.fr/hal-00780592</source>
<source>Mathematical Modelling of Natural Phenomena, EDP Sciences, 2012, 7 (6), pp.47-66. 〈10.1051/mmnp/20127603〉</source>
<identifier>DOI : 10.1051/mmnp/20127603</identifier>
<relation>info:eu-repo/semantics/altIdentifier/doi/10.1051/mmnp/20127603</relation>
<language>en</language>
<subject lang=en>dynamic system of plant growth</subject>
<subject lang=en>functional-structural plant models</subject>
<subject lang=en>GreenLab</subject>
<subject lang=en>cucumber plant</subject>
<subject lang=en>Cecropia trees</subject>
<subject>[MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS]</subject>
<subject>[SDV.BV] Life Sciences [q-bio]/Vegetal Biology</subject>
<type>info:eu-repo/semantics/article</type>
<type>Journal articles</type>
<description lang=en>The dynamic model of plant growth GreenLab describes plant architecture and functional growth at the level of individual organs. Structural development is controlled by formal grammars and empirical equations compute the amount of biomass produced by the plant, and its partitioning among the growing organs, such as leaves, stems and fruits. The number of organs initiated at each time step depends on the trophic state of the plant, which is evaluated by the ratio of biomass available in plant to the demand of all the organs. The control of the plant organogenesis by this variable induces oscillations in the simulated plant behaviour. The mathematical framework of the GreenLab model allows to compute the conditions for the generation of oscillations and the value of the period according to the set of parameters. Two case-studies are presented, corresponding to emergence of oscillations associated to fructification and branching. Similar alternating patterns are commonly reported by botanists. In this article, two examples were selected: alternate patterns of fruits in cucumber plants and alternate appearances of branches in Cecropia trees. The model was calibrated from experimental data collected on these plants. It shows that a simple feedback hypothesis of trophic control on plant structure allows the emergence of cyclic patterns corresponding to the observed ones.</description>
<date>2012-12-12</date>
</dc>
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