Toward a quantification of self-similarity in plants

Ferraro Pascal, Godin Christophe, Prusinkiewicz Przemyslaw. 2005. Toward a quantification of self-similarity in plants. Fractals, 13 (2) : 91-109.

Résumé : Self-similarity of plants has attracted the attention of biologists for at least 50 years, yet its formal treatment is rare, and no measure for quantifying the degree of self-similarity currently exists. We propose a formal definition and measures of self-similarity, tailored to branching plant structures. To evaluate self-similarity, we make use of an algorithm for computing topological distances between branching systems, developed in computer science. The formalism is illustrated using theoretical branching systems, and applied to analyze self-similarity in two sample plant structures: inflorescences of Syringe vulgaris (lilac) and shoots of Oryza sativa (rice).

Mots-clés Agrovoc : anatomie végétale, modèle mathématique, ramification, application des ordinateurs, Syringa, Oryza sativa

Mots-clés complémentaires : Autosimilitude, Biomodélisation, Fractale, Architecture végétale

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

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

Auteurs et affiliations

• Ferraro Pascal, Université de Bordeaux I (FRA)
• Godin Christophe, CIRAD-AMIS-AMAP (FRA)
• Prusinkiewicz Przemyslaw, University of Calgary (CAN)

Source : Cirad - Agritrop (https://agritrop.cirad.fr/526963/)

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