Towards universality of growth grammars: Models of Bell, Pagès, and Takenaka revisited

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Issue		Ann. For. Sci. Volume 57, Number 5-6, June-September 2000 Second International Workshop on Functional-Structural Tree Models


Page(s)		543 - 554
DOI		https://doi.org/10.1051/forest:2000141

References

1: Barczi J.-F., Reffye P. de, Caraglio Y., Essai sur l'identification et la mise en oeuvre des paramètres nécessaires à la simulation d'une architecture végétale. Le logiciel AMAPsim, in: Bouchon J., Reffye P. de, Barthélémy D. (Eds.), Modélisation et Simulation de l'Architecture des Végétaux, INRA, Paris, 1997, pp. 205-254.
2: Bell A.D., Dynamic morphology: A contribution to plant population ecology, in: Dirzo R., Sarukhán J. (Eds.), Perspectives on Plant Population Ecology, Sinauer, Sunderland, 1984, pp. 48-65.
3: Bell A.D., The simulation of branching patterns in modular organisms, Phil. Trans. Royal Soc. London B 313 (1986) 143-159.
4: Bell A.D., Roberts D., Smith A., Branching patterns: The simulation of plant architecture, J. Theor. Biol. 81 (1979) 351-375.
5: Blaise F., Simulation du parallélisme dans la croissance des plantes et applications, Thèse, Université Louis Pasteur, Strasbourg, 1991.
6: Clausnitzer V., Hopmans J.W., Simultaneous modeling of transient three-dimensional root growth and soil water flow, Plant Soil 164 (1994) 299-314.
7: den Dulk J.A., The interpretation of remote sensing: a feasibility study, Dissertation, University of Wageningen, 1989.
8: Diaz-Ambrona C.H., Tarquis A.M., Minguez M.I., Faba bean canopy modelling with a parametric open L-system: a comparison with the Monsi and Saeki model, Field Crops Res. 58 (1998) 1-13.
9: Doussan C., Pagès L., Vercambre G., Modelling of the hydraulic architecture of root systems: An integrated approach to water absorption - Model description, Ann. Bot. 81 (1998) 213-223.
10: Doussan C., Vercambre G., Pagès L., Modelling of the hydraulic architecture of root systems: an integrated approach - Distribution of axial and radial conductances in maize, Ann. Bot. 81 (1998) 225-232.
11: Fisher J.B., Honda H., Computer simulation of branching pattern and geometry in Terminalia (Combretaceae), a tropical tree, Bot. Gaz. 138 (1977) 377-384.
12: Fournier C., Andrieu B., A 3D architectural and process-based model of maize development, Ann. Bot. 81 (1998) 233-250.
13: Françon J., Sur la modélisation informatique de l'architecture et du développement des végétaux, in: Edelin C. (Ed.), L'Arbre, Biologie et Développement, Naturalia Monspeliensia h.s., Montpellier, 1991, pp. 231-249.
14: Godin C., Caraglio Y., A multiscale model of plant topological structures, J. Theor. Biol. 191 (1998) 1-46.
15: Goel N.S., Rozehnal I., Some non-biological applications of L-systems, Int. J. Gen. Syst. 18 (1991) 321-405 + color plates.
16: Goel N.S., Knox L.B., Norman J.M., From artificial life to real life: Computer simulation of plant growth, Int. J. Gen. Syst. 18 (1991) 291-319.
17: Guédon Y., Modélisation de séquences d'événements décrivant la mise en place d'éléments botaniques, in: Bouchon J., Reffye P. de, Barthélémy D. (Eds.), Modélisation et Simulation de l'Architecture des Végétaux, INRA, Paris, 1997, pp. 187-202.
18: Harper J., Bell A.D., The population dynamics of growth form in organisms with modular construction, in: Anderson R.M., Turner B.D., Taylor L.R. (Eds.), Population Dynamics, Blackwell, Oxford, 1979, pp. 29-52.
19: Hauhs M., Kastner-Maresch A., Rost-Siebert K., A model relating forest growth to ecosystem-scale budgets of energy and nutrients, Ecolog. Modell. 83 (1995) 229-243.
20: Kari L., Rozenberg G., Salomaa A., L systems, in: Rozenberg G., Salomaa A. (Eds.), Handbook of Formal Languages, Vol. 1: Word, Language, Grammar, Springer, Berlin, 1997, pp. 253-328.
21: Kurth W., Growth grammar interpreter GROGRA 2.4 - A software tool for the 3-dimensional interpretation of stochastic, sensitive growth grammars in the context of plant modelling. Introduction and Reference Manual, Berichte des Forschungszentrums Waldökosysteme Göttingen B 38 (1994), available at http://www.uni-forst.gwdg.de/ wkurth/public.html
22: Kurth W., Elemente einer Regelsprache zur dreidimensionalen Modellierung des Triebwachstums von Laubbäumen, in: Hempel G. (Ed.), 8. Tagung der Sektion Forstliche Biometrie und Informatik, Deutscher Verband Forstlicher Forschungsanstalten, Biotechnical Faculty, Ljubljana, 1996, pp. 174-187.
23: Kurth W., Some new formalisms for modelling the interactions between plant architecture, competition and carbon allocation, Bayreuther Forum Ökologie 52 (1998) 53-98.
24: Kurth W., Die Simulation der Baumarchitektur mit Wachstumsgrammatiken, Habilitation Thesis, University of Göttingen, 1998, Wissenschaftlicher Verlag Berlin, 1999.
25: Kurth W., Lanwert D., Biometrische Grundlagen für ein dynamisches Architekturmodell der Fichte (Picea abies (L.) Karst.), Allgemeine Forst- und Jagdzeitung 166 (1995) 177-184.
26: Kurth W., Sloboda B., Growth grammars simulating trees - an extension of L-systems incorporating local variables and sensitivity, Silva Fenn. 31 (1997) 285-295.
27: Kurth W., Sloboda B., Tree and stand architecture and growth described by formal grammars. I. Nonsensitive trees, J. For. Sci. 45 (1999) 16-30.
28: Kurth W., Sloboda B., Tree and stand architecture and growth described by formal grammars. II. Sensitive trees and competition, J. For. Sci. 45 (1999) 53-63.
29: Le Dizès S., Cruiziat P., Lacointe A., Sinoquet H., Le Roux X., Balandier P., Jacquet P., A model for simulating structure-function relationships in walnut tree growth processes, Silva Fenn. 31 (1997) 313-328.
30: Mech R., Modelling and simulation of the interaction of plants with the environment using L-systems and their extensions, Ph.D. Thesis, University of Calgary, 1997.
31: Mech R., Prusinkiewicz P., Visual models of plants interacting with their environment, Computer Graphics Proceedings, Annual Conference Series, SIGGRAPH 96 (1996) 397-410.
32: Moon P., Spencer D.E., Illumination from a non-uniform sky, Illumin. Eng. 37 (1942) 707-726.
33: Pagès L., Ariès F., SARAH : Modèle de simulation de la croissance, du développement et de l'architecture des systèmes racinaires, Agronomie 8 (1988) 889-896.
34: Pagès L., Kervella J., Growth and development of root systems: Geometrical and structural aspects, Acta Biotheor. 38 (1990) 289-302.
35: Perttunen J., Sievänen R., Nikinmaa E., Salminen H., Saarenmaa H., Väkevä J., LIGNUM: A tree model based on simple structural units, Ann. Bot. 77 (1996) 87-98.
36: Prusinkiewicz P., A look at the visual modeling of plants using L-systems, in: Hofestädt R., Lengauer T., Löffler M., Schomburg D. (Eds.), Bioinformatics - Proceedings GCB'96, Springer, Berlin, Lect. Notes Comp. Sci. 1278 (1997) 11-29.
37: Prusinkiewicz P., Hanan J., L-systems: From formalism to programming languages, in: Rozenberg G., Salomaa A. (Eds.), Lindenmayer Systems, Springer, Berlin, pp. 193-211.
38: Prusinkiewicz P., Kari L., Subapical bracketed L-systems, L. N. Comp. Sci. 1073 (1996) 550-564.
39: Prusinkiewicz P., Lindenmayer A., The Algorithmic Beauty of Plants, Springer, New York, 1990.
40: Prusinkiewicz P., James M., Mech R., Synthetic topiary, Computer Graphics Proceedings, Ann. Conf. Ser., SIGGRAPH 94 (1994) 351-358.
41: Prusinkiewicz P., Remphrey W.R., Davidson C.G., Hammel M.S., Modeling the architecture of expanding Fraxinus pennsylvanica shoots using L-systems, Can. J. Bot. 72 (1994) 701-714.
42: Prusinkiewicz P., Hammel M., Hanan J., Mech R., Visual models of plant development, in: Rozenberg G., Salomaa A. (Eds.), Handbook of Formal Languages, Vol. 3: Beyond Words, Springer, Berlin, 1997, pp. 535-597.
43: Reffye P. de, Edelin C., Françon J., Jaeger M., Puech C., Plant models faithful to botanical structure and development, Comp. Graph. ACM/SIGGRAPH 22 (1988) 151-158.
44: Reffye P. de, Fourcaud T., Blaise F., Barthélémy D., Houllier F., A functional model of tree growth and tree architecture, Silva Fenn. 31 (1997) 297-311.
45: Takenaka A., A simulation model of tree architecture development based on growth response to local light environment, J. Plant Res. 107 (1994) 321-330.

Abstract