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Báo cáo toán học: "Towards universality of growth grammars: Models of Bell, Pagès, and Takenaka revisited"

Tuyển tập các báo cáo nghiên cứu về lâm nghiệp được đăng trên tạp chí lâm nghiệp quốc tế đề tài: Towards universality of growth grammars: Models of Bell, Pagès, and Takenaka revisited. | 543 Ann. For. Sci. 57 2000 543-554 INRA EDP Sciences Original article Towards universality of growth grammars Models of Bell Pagès and Takenaka revisited Winfried Kurth Institute of Forest Biometry and Informatics University of Gottingen Busgenweg 4 D-37077 Gottingen Germany Received 1 February 1999 accepted 17 February 2000 Abstract - Growth grammars are extended parametric Lindenmayer systems enriched by some novel features expand operator global sensitivity interpretive rules arithmetical-structural operators . They can serve as a formal basis for describing functional-structural plant models from the literature. This is demonstrated on three well-known models having in common that they were originally developed without using any formal grammars an early but quite general structural plant simulator by Bell a root model by Pages and Kervella and an above-ground tree model involving competition for light by Takenaka. The study considers the special extensions of L-systems necessary to rebuild some characteristic features of each of these models. The obtained degree of universality and the current limitations of the growth-grammar approach with respect to functional-structural tree models are discussed. L-system grammar formalization model specification plant architecture Résumé - Vers l universalite des grammaires de croissance une nouvelle rencontre entre les modèles de Bell Pagès et Takenaka. Les grammaires de croissance sont une version étendue de systèmes de Lindenmayer parametrises élargi par quelques propriétés nouvelles opérateur d expansion sensitivité globale règles interprétatives opérateurs arithmétiques-structu-raux . Ils peuvent servir comme une base formelle pour la déscription de modèles fonctionnels-structuraux déjà publiés. Cette possi-bilité est démontrée par trois modèles bien connu qui ont en commun la qualité d etre développé sans utilisation de quelque grammai-re formelle un simulateur structural des plantes de Bell un modèle de racines de .