. Tab, Comparison of the theoretical and numerical expectations and variances of the numbers of metamers of physiological age ? (respectively M th (?)/V th (?) and M exp (?)/V exp (?))

D. Références, N. Assaf, T. Langberg, M. Savits, and . Shaked, Multivariate phase-type distributions, Operations Research, vol.32, issue.3, pp.688-702, 1984.

D. Barthélémy and Y. Caraglio, Plant Architecture: A Dynamic, Multilevel and Comprehensive Approach to Plant Form, Structure and Ontogeny, Annals of Botany, vol.99, issue.3, pp.375-407, 2007.
DOI : 10.1093/aob/mcl260

A. Christophe, V. Letort, I. Hummel, P. Cournède, P. De-reffye et al., A modelbased analysis of the dynamics of carbon balance at the whole plant level in Arabidopsis Thaliana, Functional Plant Biology, issue.11, pp.351147-1162, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00652522

P. De-reffye, Modélisation de l'architecture des arbres par des processus stochastiques Simulation spatiale des modèles tropicaux sous l'effet de la pesanteur Application au Coffea robusta, 1979.

P. De-reffye, M. Goursat, J. Quadrat, and B. Hu, The Dynamic Equations of the Tree Morphogenesis Greenlab Model, 2003.
URL : https://hal.archives-ouvertes.fr/inria-00071706

P. De-reffye, E. Heuvelink, D. Barthélémy, and P. Cournède, Plant Growth Models, of Encyclopedia of Ecology (5 volumes), pp.2824-2837
DOI : 10.1016/B978-008045405-4.00217-2
URL : https://hal.archives-ouvertes.fr/halsde-00341036

Y. Guo, Y. Ma, Z. Zhan, B. Li, M. Dingkuhn et al., Parameter Optimization and Field Validation of the Functional-Structural Model GREENLAB for Maize, Annals of Botany, vol.97, issue.2, pp.217-230, 2006.
DOI : 10.1093/aob/mcj033
URL : https://hal.archives-ouvertes.fr/hal-00018867

T. Harris, The theory of branching processes, 1963.
DOI : 10.1007/978-3-642-51866-9

M. Kang, P. Cournède, J. Quadrat, and P. De-reffye, A stochastic language for plant topology Plant growth Modeling, simulation, visualization and their Applications, 2007.
DOI : 10.1109/pma.2006.57
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.205.3938

M. Kang, P. Cournède, P. De-reffye, D. Auclair, and B. Hu, Analytical study of a stochastic plant growth model: Application to the GreenLab model, Mathematics and Computers in Simulation, vol.78, issue.1, pp.57-75, 2008.
DOI : 10.1016/j.matcom.2007.06.003
URL : https://hal.archives-ouvertes.fr/halsde-00306691

A. Lindenmayer, Mathematical models for cellular interactions in development I. Filaments with one-sided inputs, Journal of Theoretical Biology, vol.18, issue.3, pp.280-289, 1968.
DOI : 10.1016/0022-5193(68)90079-9

C. Loi and P. Cournède, Generating functions of stochastic L-systems and application to models of plant development, Discrete Mathematics and Theoretical Computer Science Proceedings, pp.325-338, 2008.
URL : https://hal.archives-ouvertes.fr/hal-01194661

A. Mathieu, P. Cournède, and P. De-reffye, A dynamical model of plant growth with full retroaction between organogenesis and photosynthesis, ARIMA Journal, vol.4, pp.101-107, 2006.
URL : https://hal.archives-ouvertes.fr/inria-00122478

M. F. Neuts, Probability distributions of phase type, Liber Amicorum Prof. Emeritus H. Florin, pp.176-206, 1975.

P. Prusinkiewicz and A. Lindenmayer, The Algorithmic Beauty of Plants, 1990.
DOI : 10.1007/978-1-4613-8476-2

G. Rozenberg and A. Salomaa, The Mathematical Theory of L-systems, 1980.

I. Unité-de-recherche, . Lorraine, . Loria, and . Technopôle-de-nancy, Brabois -Campus scientifique 615, rue du Jardin Botanique -BP 101 -54602 Villers-lès-Nancy Cedex (France) Unité de recherche INRIA Rennes : IRISA, Campus universitaire de Beaulieu -35042 Rennes Cedex (France) Unité de recherche INRIA Rhône-Alpes : 655, avenue de l'Europe -38334 Montbonnot Saint-Ismier (France) Unité de recherche INRIA Rocquencourt, Domaine de Voluceau -Rocquencourt -BP 105 -78153 Le Chesnay Cedex (France) Unité de recherche INRIA Sophia Antipolis : 2004, route des Lucioles -BP 93 -06902 Sophia Antipolis Cedex

I. De-voluceau-rocquencourt, BP 105 -78153 Le Chesnay Cedex (France) http://www.inria.fr ISSN, pp.249-6399