Rhythms and alternating patterns in plants as emergent properties of a model of interaction between development and functioning

Annals of Botany

Volumn 101, Issue 8, 2008, Pages 1233-1242

  Mathieu, Amélie ^a,b,c   Cournède, Paul Henry ^a   Barthélémy, Daniel ^b   De Reffye, Philippe ^b,c  

^a Ecole Centrale de Paris   (France)

^b UMR AMAP   (France)

^c INRIA   (France)

Author keywords

Branching system; Emergent properties; Fructification; GREENLAB; Interactions; Plant growth model; Plasticity; Rhythms

Indexed keywords

AUTOMATION; ESTIMATION METHOD; FRUIT PRODUCTION; GROWTH MODELING; NUMERICAL METHOD; SOURCE-SINK DYNAMICS;

CAPSICUM; CUCUMIS SATIVUS;

ARTICLE; COMPUTER SIMULATION; FRUIT; GROWTH, DEVELOPMENT AND AGING; MORPHOGENESIS; PHYSIOLOGY; PLANT; THEORETICAL MODEL; TIME;

COMPUTER SIMULATION; FRUIT; MODELS, THEORETICAL; MORPHOGENESIS; PLANTS; TIME FACTORS;

EID: 48249117457     PISSN: 03057364     EISSN: 10958290     Source Type: Journal    
DOI: 10.1093/aob/mcm171     Document Type: Article

References (39)

1. Balandier P, Lacointe A, Le Roux X, Sinoquet H, Cruziat P Le Dizès S. 2000. Simwal: a structural-functional model simulating single walnut tree growth in response to climate and pruning. Annals of Forest Science 57: 571-585.
2. Barthélémy D. 1991. Levels of organization and repetition phenomena in seed plants. Acta Biotheoretica 39: 309-323.
3. Barthélémy D, Caraglio Y. 2007. Plant architecture: a dynamic, multilevel and comprehensive approach of plant form, structure and ontogeny. Annals of Botany 99: 375-407.
4. Barthélémy D, Caraglio Y, Costes E. 1997. Architecture, gradients morphogénétiques et âge physiologique chez les végétaux. In: Bouchon J, de Reffye P, Barthélémy D, eds. Modélisation et simulation de l'architecture des végétaux. Sciences Updates. Paris: INRA Editions, 89-136.
5. Blaise F, Barczi J, Jaeger M, Dinouard P, de Reffye P. 1998. Simulation of the growth of plants. Modeling of metamorphosis and spatial interactions in the architecture and development of plants. In: Kuni TL, Luciani A, eds. Cyberworlds. Tokyo: Springer Verlag, 81-109.
6. Borchert R, Honda H. 1984. Control of development in the bifurcating branch system of Tabebuia rosea. Botanical Gazette 142: 394-401.
7. Borchert R, Slade N. 1981. Bifurcation ratios and the adaptative geometry of trees. Botanical Gazette 142: 394-401.
8. Cournède P, de Reffye P. 2006. A functional and architectural model of competition for plant growth. In: Proceedings of PMA06 the Second International Symposium on Plant Growth Modeling, Simulation, Visualization and Applications, Beijing, China, 13-17 November.
9. Counède P, Kang M, Mathieu A, Barczi J, Yan H, Hu B, de Reffye P. 2006. Structural factorization of plants to compute their functional and architectural growth. Simulation 82: 427-438.
10. Deleuze C. 1996. Pour une dendrométrie fonctionnelle: essai sur l'intégration de connaissances écophysiologiques dans les modèles de production ligneuse. PhD Thesis, University Claude Bernard, Lyon I.
11. Drouet J, Pagès L. 2003. GRAAL: a model of GRowth Architecture and carbon ALocation during the vegetative phase of the whole maize plant: model description and parameterisation. Ecological Modelling 165: 147-173.
12. Grange V. 2006. GreenLab mathematical behavior analysis on Roux architectural model. Rapport de stage d'option scientifique, Ecole Polytechnique, France.
13. Guo Y, Ma Y, Zhan Z, Li B, Dingkuhn M, Luquet D, de Reffye P. 2006. Parameter optimization and field validation for the functional-structural model GreenLab for maize. Annals of Botany 97: 217-230.
14. Hallé F, Oldeman R, Tomlinson P. 1978. Tropical trees and forests: an architectural analysis. New York, NY: Springer-Verlag.
15. Heuvelink E, Bakker M, Wubs M, Hemerik L, Marcelis L. 2006. Fruit set in sweet pepper: a modelling exercise. In: Proceedings of PMA06 the Second International Symposium on Plant Growth Modeling, Simulation, Visualization and Applications, Beijing, China, 13-17 November.
16. Innes J. 1993. The occurrence of flowering and fruiting on individual trees over 3 years and their effects on subsequent crown conditions. Trees 8: 139-150.
17. Kelly D, Sork V. 2002. The evolutionary ecology of mast seeding in perennial plants: why, how, where. Annual Review of Ecology and Systematics 33: 427-447.
18. Kurth W. 1994. Morphological models of plant growth: possibilities and ecological relevance. Ecological Modelling 75/76: 299-308.
19. Le Roux X, Lacointe A, Escobar-Gutiérrez A, Le Dizès S. 2001. Carbon-based models of individual tree growth: a critical appraisal. Annals of Forest Science 58: 469-506.
20. Lusk C, Le-Quesne C. 2000. Branch whorls of juveniles Araucaria araucana (Molina) Koch: are they formed annually? Revista Chilena de Historia Natural 73: 497-502.
21. Marcelis L. 1992. The dynamics of growth and dry matter distribution in cucumber. Annals of Botany 69: 487-492.
22. Marcelis L. 1994. A simulation model for dry matter partitioning in cucumber. Annals of Botany 74: 43-52.
23. Marcelis L, Heuvelink E, Baan Hofman-Eijer L, Den Bakker J, Xue L. 2004. Flower and fruit abortion in sweet pepper in relation to source and sink strength. Journal of Experimental Botany 55: 2261-2268.
24. Mathieu A. 2006. Essai sur la modélisation des interactions entre la croissance et le développement d'une plante: cas du modèle GreenLab. PhD Thesis, Ecole Centrale de Paris, France.
25. Mathieu A, Cournède P, Barthélémy D, de Reffye P. 2006a. Conditions for the generation of rhythms in a discrete dynamic system: case of a functional structural plant growth model. In: Proceedings of PMA06 the Second International Symposium on Plant Growth Modeling, Simulation, Visualization and Applications, Beijing, China, 13-17 November.
26. Mathieu A, Cournède P, de Reffye P. 2006b. A dynamical model of plant growth with full retroaction between organogenesis and photosynthesis. Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées 4: 101-107.
27. Mech R, Prusinkiewicz P. 1996. Visual models of plant interacting with their environment. In: Rushmeier H, ed. SIGGRAPH 96 Conference Proceedings. New Orleans, LA: Addison-Wesley, 397-410.
28. Nicolini E. 2000. Nouvelles observations sur la morphologie des unités de croissance du hêtre (Fagus sylvatica L.). Symétrie des pousses, reflet de la vigueur des arbres. Canadian Journal of Botany 78: 77-87.
29. Perttunen J, Sievänen R, Nikinmaa E, Salminen H, Saarenmaa H, Väkevä J. 1996. LIGNUM: a tree model based on simple structural units. Annals of Botany 77: 87-98.
30. Prusinkiewicz P, Hammel M, Hanan J, Mech R. 1997. Visual models of plant development. In: Rozenberg G, Salomaa A, eds. Handbook of formal languages. Berlin: Springer Verlag, 535-597.
31. de Reffye P, Fourcaud T, Blaise F, Barthélémy D, Houllier F. 1997. A functional model of tree growth and tree architecture. Silva Fennica 31: 297-311.
32. de Reffye P, Hu B. 2003. Relevant choices in botany and mathematics for building efficient dynamic plant growth models: GreenLab case. In: Hu BG, Jaeger M, eds. Proceedings of PMA03 International Symposium on Plant Growth Modeling, Simulation, Visualization and their Applications, Beijing 13-16 October. Tsinghua University Press and Springer, 87-107.
33. de Reffye P, Goursat M, Quadrat J, Hu B. 2003. The dynamic equations of the tree morphogenesis GreenLab model. Technical Report No. 4877, INRIA.
34. Sievänen R, Nikinmaa E, Nygren P, Ozier-Lafontaine H, Perttunen L, Hakula H. 2000. Components of functional-structural tree models. Annals of Forest Science 57: 399-412.
35. Shinozaki K, Yoda K, Hozumi K, Kira T. 1964. A quantitative analysis of plant form: the pipe model theory. I. Basic analysis. Japan Journal of Ecology 14: 97-105.
36. Wardlaw I. 1990. The control of carbon partitioning in plants. New Phytologist 116: 341-381.
37. Warren-Wilson J. 1972. Control of crop processes. In: Rees AR, Cockshull KE, Hand DW, Hurd RG, eds. Crop processes in controlled environments. London: Academic Press, 7-30.
38. Wernecke P, Muller J, Dornbusch T, Wernecke A, Diepenbrock W. 2006. The virtual crop-modelling system 'VICA' specified for barley. In: Vos J, Marcelis M, de Visser P, Struik P, Evers J, eds. Functional-structural plant modelling in crop production. Wageningen UR Frontis Series, Kluwer Academic Publishers, 53-64.
39. Yan HP, Kang MZ, de Reffye P, Dingkuhn M. 2004. A dynamic, architectural plant model simulating resource-dependent growth. Annals of Botany 93: 591-602.