B. Bertin, N. Heuvelink-]-bertin, and E. Heuvelink, Dry-matter production in a tomato crop: comparison of two simulation models, Journal of Horticultural Science, vol.68, issue.6, pp.995-1011, 1993.
DOI : 10.1080/00221589.1993.11516441

. Blaise, Modeling of metamorphosis and spatial interactions in the architecture and development of plants, pp.81-108, 1998.

. Borchert, . Honda, R. Borchert, and H. Honda, Control of Development in the Bifurcating Branch System of Tabebuia rosea: A Computer Simulation, Botanical Gazette, vol.145, issue.2, pp.184-195, 1984.
DOI : 10.1086/337445

. Bouchon, Reffye (de) Modélisation et simulation de l, 1997.

. Brisson, An overview of the crop model stics, European Journal of Agronomy, vol.18, issue.3-4, pp.309-332, 2003.
DOI : 10.1016/S1161-0301(02)00110-7

URL : https://hal.archives-ouvertes.fr/hal-01190851

D. Canell, M. Canell, and R. Dewar, Carbon Allocation in Trees: a Review of Concepts for Modelling, Advances in ecological research, pp.59-104, 1994.
DOI : 10.1016/S0065-2504(08)60213-5

. Capsis, Computer-aided projection for strategies in silviculture : Open architecture for a shared forest-modelling platform, editor, Connection between forest resources and wood quality : modelling approaches and simulation software, pp.371-380

. Costes, STOCHASTIC MODELLING OF APRICOT GROWTH UNITS AND BRANCHING, Acta Horticulturae, vol.313, issue.313, pp.89-98, 1992.
DOI : 10.17660/ActaHortic.1992.313.10

URL : https://hal.archives-ouvertes.fr/hal-00827498

. Cournède, Structural Factorization of Plants to Compute Their Functional and Architectural Growth, SIMULATION, vol.82, issue.7, 2005.
DOI : 10.1177/0037549706069341

T. Cruiziat, P. Cruiziat, and M. Tyree, La montée de la s` eve dans les arbres, La Recherche, vol.21, issue.220, pp.406-414, 1990.

H. Dzierzon, A grammar based model for juvenile scot pines as an aggregation of lignum, FSMP04, 2004.

G. Ferraro, P. Ferraro, and C. Godin, A distance measure between plant architectures, Annals of Forest Science, vol.57, issue.5, pp.445-461, 2000.
DOI : 10.1051/forest:2000134

URL : https://hal.archives-ouvertes.fr/hal-00883353

A. Fournier, C. Fournier, and B. Andrieu, ADEL-maize: an L-system based model for the integration of growth processes from the organ to the canopy. Application to regulation of morphogenesis by light availability, Agronomie, vol.19, issue.3-4, pp.313-327, 1999.
DOI : 10.1051/agro:19990311

URL : https://hal.archives-ouvertes.fr/hal-00885933

. Gary, Simulation interactive de la croissance d'une plante de tomate en fonction de son environnement et de sa conduite (modèle TOMGRO), Architecture des arbres fruitiers et forestiers, pp.333-343, 1995.

L. Glover, F. Glover, and M. Laguna, Tabu Search, 1997.
URL : https://hal.archives-ouvertes.fr/hal-01389283

C. Godin, Representing and encoding plant architecture: A review, Annals of Forest Science, vol.57, issue.5, pp.413-438, 2000.
DOI : 10.1051/forest:2000132

URL : https://hal.archives-ouvertes.fr/hal-00883351

C. Godin, C. Godin, and Y. Caraglio, A Multiscale Model of Plant Topological Structures, Journal of Theoretical Biology, vol.191, issue.1, pp.1-46, 1998.
DOI : 10.1006/jtbi.1997.0561

URL : https://hal.archives-ouvertes.fr/hal-00827484

. Godin, A Method for Describing Plant Architecture which Integrates Topology and Geometry, Annals of Botany, vol.84, issue.3, pp.343-357, 1999.
DOI : 10.1006/anbo.1999.0923

URL : https://hal.archives-ouvertes.fr/hal-00827477

A. Griewank, On automatic differentiation, Mathematical Programming : Recent Developments and Applications, pp.83-108, 1989.

. Guédon, Pattern Analysis in Branching and Axillary Flowering Sequences, Journal of Theoretical Biology, vol.212, issue.4, pp.481-520, 2001.
DOI : 10.1006/jtbi.2001.2392

. Guo, Parameter optimization and field validation of the functionalstructural model greenlab for maize, Annals of Botany, issue.97, pp.217-230, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00018867

B. Guo, Modeling of Biomass Acquisition and Partitioning in the Architecture of Sunflower, Plant Growth Models and Applications, 2003.

M. Hallé, F. Hallé, and R. Martin, Etude de la croissance rythmique chez l'hévéa (Hevea brasiliensis mull Adansonia, pp.475-503, 1968.

O. Hallé, F. Hallé, and R. Oldeman, Essai sur l'architecture et la dynamique de croissance des arbres tropicaux, 1970.

. Hallé, Tropical trees and forests, An architectural analysis, 1978.

K. Hanada, Differentiation and development of tiller buds in rice plants, Japan Agricultural Research Quarterly, vol.26, pp.79-86, 1982.

J. Hanan, Modelling coton (Gossypium hirsutum L. with lsystems : A template model for incorporating physiology, FSMP04, 2004.

E. Heuvelink, Evaluation of a Dynamic Simulation Model for Tomato Crop Growth and Development, Annals of Botany, vol.83, issue.4, pp.413-422, 1999.
DOI : 10.1006/anbo.1998.0832

. Heuvelink, MODELLING PRODUCT QUALITY IN HORTICULTURE: AN OVERVIEW, ISHS Acta Horticulturae, 2004.
DOI : 10.17660/ActaHortic.2004.654.1

. Hillier, Maximum Likelihood Inference and Bootstrap Methods for Plant Organ Growth via Multi-phase Kinetic Models and their Application to Maize, Annals of Botany, vol.96, issue.1, pp.137-148, 2005.
DOI : 10.1093/aob/mci159

F. Houllier, Generalized least squares for fitting amapagro model, 1999.

M. Howell, T. Howell, J. Musick, and J. Huxley, Relationship of dry matter production of field crops to water consumtion Problems of relative growth, Les besoins en eau des cultures, 1932.

R. Jaeger, M. Jaeger, and P. Reffyede-), Basic concepts of computer simulation of plant growth, Journal of Biosciences, vol.18, issue.12, pp.275-291, 1992.
DOI : 10.1007/BF02703154

S. Jaffuel and J. Dauzat, Synchronism of Leaf and Tiller Emergence Relative to Position and to Main Stem Development Stage in a Rice Cultivar, Annals of Botany, vol.95, issue.3, pp.401-412, 2005.
DOI : 10.1093/aob/mci043

K. Jones, C. Kiniry, and J. , CERES -Ma¨?zeMa¨?ze : A simulation model of ma¨?zema¨?ze growth and development, 1986.

H. Jones, Plants and microclimate. A quantitative approach to environmental plant physiology, 1986.

. Kang, Theoretical study and numerical simulation of a stochastic model for plant growth, CARI04, Tunisia, 2004.
URL : https://hal.archives-ouvertes.fr/inria-00121499

. Kang, Reffye (de) Analytic study of a stochastic plant architectural model, 2005.

W. Kurth, 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, Ser. B, vol.38, 1994.

W. Kurth, Morphological models of plant growth: Possibilities and ecological relevance, Ecological Modelling, vol.75, issue.76, pp.299-308, 1994.
DOI : 10.1016/0304-3800(94)90027-2

A. Laarhoven, P. V. Laarhoven, and E. Aarts, Simulated Annealing : Theory and Applications, 1987.
DOI : 10.1007/978-94-015-7744-1

A. Lacointe, Carbon allocation among tree organs: A review of basic processes and representation in functional-structural tree models, Annals of Forest Science, vol.57, issue.5, pp.521-533, 2000.
DOI : 10.1051/forest:2000139

URL : https://hal.archives-ouvertes.fr/hal-01191058

R. Le, Carbon-based models of individual tree groth : A critical appraisal, Annals of Forest Sciences, vol.58, pp.469-506, 2001.

J. Lifermann and A. Lindenmayer, Les systèmes discrets Mathematical models for cellular interactions in development. i. filaments with one-sided inputs, Masson. Journal of Theoretical Biology, vol.18, pp.280-289, 1968.

. Mathieu, A dynamical model of plant growth with full retroaction between organogenesis and photosynthesis, CARI04, Tunisia, 2004.
URL : https://hal.archives-ouvertes.fr/inria-00122478

H. Matsuo, T. Matsuo, K. Hoshikawa, and E. Nicolini, Science of the rice plant Architecture et gradients morphogénétiques chez de jeunes hêtres (Fagus Sylvatica l.) en milieu forestier, Tokyo : Food and Agricultural Policy Research Center. Can. J. Bot, vol.1, issue.76, pp.1232-1244, 1993.

E. Nicolini, Nouvelles observations sur la morphologie des unit??s de croissance du h??tre (<i>Fagus sylvatica</i> L.). Sym??trie des pousses, reflet de la vigueur des arbres, Canadian Journal of Botany, vol.78, issue.1, pp.77-87, 2000.
DOI : 10.1139/cjb-78-1-77

. Nicolini, . Chanson, E. Nicolini, and B. Chanson, La pousse courte, un indicateur du degr?? de maturation chez le h??tre (<i>Fagus sylvatica</i> L.), Canadian Journal of Botany, vol.77, issue.11, pp.1539-1550, 1999.
DOI : 10.1139/cjb-77-11-1539

. Nygren, A comparison of two fractal models for describing the whole tree structure, FSMP04, 2004.

. Bibliographie-[-perttunen, LIGNUM: A Tree Model Based on Simple Structural Units, Annals of Botany, vol.77, issue.1, pp.87-98, 1996.
DOI : 10.1006/anbo.1996.0011

R. Pressler, Das Gesetz des Stammbildung, Arnoldische Buchhandlung (Lepizig), 1865.

P. Prusinkiewicz, Modeling of spatial structure and development of plants: a review, Scientia Horticulturae, vol.74, issue.1-2, pp.113-149, 1998.
DOI : 10.1016/S0304-4238(98)00084-3

H. Prusinkiewicz, P. Prusinkiewicz, and M. Hammel, Automata , langages and interated function systems, Fractal Modeling in 3D Computer Graphics and Imagery, ACM SIGGRAPH, pp.115-143, 1991.

. Prusinkiewicz, L-system : from the theory to visual models of plants, pp.1-27, 1997.

. Prusinkiewicz, Development models of herbaceous plants for computer imagery purposes, ACM SIGGRAPH Computer Graphics, vol.22, issue.4, pp.141-150, 1988.
DOI : 10.1145/378456.378503

. Rauscher, ECOPHYS: An ecophysiological growth process model for juvenile poplar, Tree Physiology, vol.7, issue.1-2-3-4, pp.255-281, 1990.
DOI : 10.1093/treephys/7.1-2-3-4.255

P. De-) and F. Houllier, Modelling plant growth and architecture : some recent advances and applications to agronomy and forestery, Curr. Sci, vol.73, pp.984-992, 1997.

P. De-) and B. Hu, Relevant Choices in Botany and Mathematics for building efficient Dynamic Plant Growth Models : Greenlab Cases, Plant Growth Models and Applications, 2003.

H. Rey, Utilisation de la modélisation 3D pour l'analyse et la simulation du développement et de la croissance végétative d'une plante de tournesol en conditions environnementales fluctuantes (température et rayonnement), 2003.

J. Ritchie, Model for predicting evaporation from a row crop with incomplete cover, Water Resources Research, vol.32, issue.IR1, 1972.
DOI : 10.1029/WR008i005p01204

. Shinozaki, A quantitative analysis of plant form -the pipe model theory i. basic analysis, Jpn J. Ecol, vol.14, pp.97-105, 1964.

. Sievänen, Components of functional-structural tree models, Annals of Forest Science, vol.57, issue.5, pp.399-412, 2000.
DOI : 10.1051/forest:2000131

P. Sillard, Estimation par moindres carrés, 2001.

J. Stafstrom, Developmental Potential of Shoot Buds, pp.257-279, 1995.
DOI : 10.1016/B978-012276460-8/50014-X

P. Thiebaut, B. Thiebaut, and S. Puech, D??veloppement du H??tre commun : morphologie et architecture de l'arbre, Revue Foresti??re Fran??aise, vol.56, issue.6, pp.45-58, 1984.
DOI : 10.4267/2042/21680

J. Thornley, Dynamic Model of Leaf Photosynthesis with Acclimation to Light and Nitrogen, Annals of Botany, vol.81, issue.3, pp.421-430, 1998.
DOI : 10.1006/anbo.1997.0575

L. Turc, O. Turc, and J. Lecoeur, Leaf primordium initiation and expanded leaf production are co-ordinated through similar response to air temperature in pea (pisum sativum l.) Annals of Botany, pp.265-273, 1997.

E. Tyree, M. Tyree, and F. Ewers, The hydraulic architecture of trees and other woody plants, New Phytologist, vol.59, issue.3, pp.345-360, 1991.
DOI : 10.1039/df9480300146

F. Varenne, La simulation informatique face ?? la ?? m??thode des mod??les ??. Le cas de la croissance des plantesThe computer simulation facing the ???Method of Models???. The case of plant growth, Nature Sciences Soci??t??s, vol.11, issue.1, pp.16-28, 2003.
DOI : 10.1016/S1240-1307(03)00004-9

D. Verwaerde, Modèles différentiels et optimisation, 1997.

J. Warren-wilson-]-warren-wilson, . Cockshull, . Ke, . Hand, and . Dw, Control of Crop processes, pp.7-30, 1972.

. Weir, A winter wheat crop simulation model without water or nutrient limitations, The Journal of Agricultural Science, vol.25, issue.02, pp.371-382, 1984.
DOI : 10.1093/jxb/31.1.29

J. White, The Plant as a Metapopulation, Annual Review of Ecology and Systematics, vol.10, issue.1, pp.109-145, 1979.
DOI : 10.1146/annurev.es.10.110179.000545

. Williams, The EPIC Crop Growth Model, Transactions of the ASAE, vol.32, issue.2, pp.497-511, 1989.
DOI : 10.13031/2013.31032

L. Wu, Variational methods applied to plant functional-structural dynamics : parameter identification, control and data assimilation, 2005.

. Zhan, Fitting a structural-functional model with plant architectural data, Plant Growth Models and Applications, 2003.
URL : https://hal.archives-ouvertes.fr/inria-00122502

. Zhan, Architectural modeling of wheat growth and validation study, ASAE Annual International Meeting, 2000.
URL : https://hal.archives-ouvertes.fr/inria-00122501