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Analyse probabiliste, étude combinatoire et estimation paramétrique pour une classe de modèles de croissance de plantes avec développement stochastique

Cédric Loi 1, 2
2 DIGIPLANTE - Modélisation de la croissance et de l'architecture des plantes
Cirad - Centre de Coopération Internationale en Recherche Agronomique pour le Développement, Inria Saclay - Ile de France, MAS - Mathématiques Appliquées aux Systèmes - EA 4037
Abstract : This PhD focuses on a particular class of stochastic models of functional-structural plant growth to which the GreenLab model belongs. First, the stochastic processes underlying the organogenesis phenomenon were studied. A new combinatorial framework based on formal grammars was built to study the distributions of the number of organs or more generally patterns in plant structures. This work led to the creation of a symbolic method which allows the computation of the distributions associated to word occurrences in random texts generated by stochastic L-systems. The second part of the PhD tackles the estimation of the parameters of the functional submodel (linked to the creation of biomass by photosynthesis and its allocation). For this purpose, the plant model was described by a hidden Markov model and Bayesian inference methods were used to solve the problem.
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Submitted on : Monday, October 24, 2011 - 3:03:55 PM
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Cédric Loi. Analyse probabiliste, étude combinatoire et estimation paramétrique pour une classe de modèles de croissance de plantes avec développement stochastique. Mathématiques [math]. Ecole Centrale Paris, 2011. Français. ⟨tel-00635011⟩

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