Author： Mathieu A. Letort V. Cournède P.H. Zhang B.G. Heuret P. de Reffye P.
Publisher： Edp Sciences
E-ISSN： 1760-6101|7|6|47-66
ISSN： 0973-5348
Source： Mathematical Modelling of Natural Phenomena , Vol.7, Iss.6, 2012-12, pp. : 47-66
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Abstract
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.
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