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Oscillations in Functional Structural Plant GrowthModels

Published online by Cambridge University Press:  12 December 2012

A. Mathieu ,
V. Letort ,
P.H. Cournède ,
B.G. Zhang ,
P. Heuret  and
P. de Reffye
A. Mathieu*
Affiliation:
AgroParisTech, UMR EGC (1091), Grignon, France
V. Letort
Affiliation:
Ecole Centrale Paris, MAS, Châtenay-Malabry, France
P.H. Cournède
Affiliation:
Ecole Centrale Paris, MAS, Châtenay-Malabry, France
B.G. Zhang
Affiliation:
China Agricultural University, College of Resources and Environmental Sciences, Beijing, China
P. Heuret
Affiliation:
INRA, UMR EcoFoG (745), French Guyana, Kourou, French Guyana
P. de Reffye
Affiliation:
CIRAD, UMR AMAP, Montpellier, France
*
⋆ Corresponding author. E-mail: amelie.mathieu@agroparistech.fr
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Abstract

The dynamic model of plant growth GreenLab describes plant architecture and functionalgrowth at the level of individual organs. Structural development is controlled by formalgrammars and empirical equations compute the amount of biomass produced by the plant, andits partitioning among the growing organs, such as leaves, stems and fruits. The number oforgans initiated at each time step depends on the trophic state of the plant, which isevaluated by the ratio of biomass available in plant to the demand of all the organs. Thecontrol of the plant organogenesis by this variable induces oscillations in the simulatedplant behaviour. The mathematical framework of the GreenLab model allows to compute theconditions for the generation of oscillations and the value of the period according to theset of parameters. Two case-studies are presented, corresponding to emergence ofoscillations associated to fructification and branching.

Similar alternating patterns arecommonly reported by botanists. In this article, two examples were selected: alternatepatterns of fruits in cucumber plants and alternate appearances of branches inCecropia trees. The model was calibrated from experimental datacollected on these plants. It shows that a simple feedback hypothesis of trophic controlon plant structure allows the emergence of cyclic patterns corresponding to the observedones.

Keywords

dynamic system of plant growthfunctional-structural plant modelsGreenLabcucumber plantCecropia trees
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 7 , Issue 6: Biological oscillations , 2012 , pp. 47 - 66
Copyright
© EDP Sciences, 2012

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