Oscillations in functional structural plant growth models

Mathieu Alexandre, Letort Véronique, Cournède Paul-Henry, Zhang Bao Gui, Heuret Patrick, De Reffye Philippe. 2012. Oscillations in functional structural plant growth models. Mathematical Modelling of Natural Phenomena, 7 (6) : 47-66.

Quartile : Q3, Sujet : MULTIDISCIPLINARY SCIENCES / Quartile : Q4, Sujet : MATHEMATICS, INTERDISCIPLINARY APPLICATIONS / Quartile : Q4, Sujet : MATHEMATICAL & COMPUTATIONAL BIOLOGY

Résumé : 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.

Classification Agris : U10 - Informatique, mathématiques et statistiques
F62 - Physiologie végétale - Croissance et développement
F50 - Anatomie et morphologie des plantes

Champ stratégique Cirad : Axe 1 (2005-2013) - Intensification écologique

Auteurs et affiliations

• Mathieu Alexandre, CIRAD-BIOS-UMR PVBMT (REU)
• Letort Véronique, Ecole centrale Paris (FRA)
• Cournède Paul-Henry, Ecole centrale Paris (FRA)
• Zhang Bao Gui, CAU [China Agricultural University] (CHN)
• Heuret Patrick, INRA (FRA)
• De Reffye Philippe, CIRAD-BIOS-UMR AMAP (FRA)

Source : Cirad - Agritrop (https://agritrop.cirad.fr/568612/)

Métriques

[ Page générée et mise en cache le 2024-09-10 ]