I. E. Auger, L. , C. E. Mancuso, S. Volkmann, D. Barlow et al., Algorithms for the optimal identification of segment neighborhoods, Bulletin of Mathematical Biology, vol.25, issue.1, pp.39-54, 1989.
DOI : 10.1007/978-1-4612-6137-7

F. Balu?ka, J. S. Parker, and P. W. Barlow, Specific patterns of cortical and endoplasmic microtubules associated with cell growth and tissue differentiation in roots of maize (Zea mays L.), J. Cell Sci, vol.103, pp.191-200, 1992.

F. Balu?ka, D. Volkmann, and P. W. Barlow, Specialized Zones of Development in Roots: View from the Cellular Level, Plant Physiology, vol.112, issue.1, 1996.
DOI : 10.1104/pp.112.1.3

P. W. Barlow, CELLULAR PACKETS, CELL DIVISION AND MORPHOGENESIS IN THE PRIMARY ROOT MERISTEM OF ZEA MAYS L., New Phytologist, vol.56, issue.1, pp.27-56, 1987.
DOI : 10.1016/0098-8472(80)90227-0

P. W. Barlow, A. , and J. S. , L. to Various Periods of Cold, Journal of Experimental Botany, vol.40, issue.1, pp.81-88, 1989.
DOI : 10.1093/jxb/40.1.81

URL : https://hal.archives-ouvertes.fr/in2p3-00006092

R. A. Barrio, J. R. Romero-arias, M. A. Noguez, E. Azpeitia, E. Ortiz-gutiérrez et al., Cell Patterns Emerge from Coupled Chemical and Physical Fields with Cell Proliferation Dynamics: The Arabidopsis thaliana Root as a Study System, PLoS Computational Biology, vol.53, issue.1, 2013.
DOI : 10.1371/journal.pcbi.1003026.s005

T. I. Baskin, H. T. Meekes, B. M. Liang, and R. E. Sharp, Regulation of Growth Anisotropy in Well-Watered and Water-Stressed Maize Roots. II. Role of Cortical Microtubules and Cellulose Microfibrils, Plant Physiology, vol.119, issue.2, pp.681-692, 1999.
DOI : 10.1104/pp.119.2.681

G. T. Beemster, K. De-vusser, E. De-tavernier, D. Bock, K. Inzé et al., Variation in Growth Rate between Arabidopsis Ecotypes Is Correlated with Cell Division and A-Type Cyclin-Dependent Kinase Activity, PLANT PHYSIOLOGY, vol.129, issue.2, pp.854-864, 2002.
DOI : 10.1104/pp.002923

F. Bizet, I. Hummel, M. Bogeat-triboulot, E. Casamitjana-martinez, J. Xu et al., Length and activity of the root apical meristem revealed in vivo by infrared imaging, Journal of Experimental Botany, vol.66, issue.5, pp.1387-1395, 2003.
DOI : 10.1093/jxb/eru488

URL : https://hal.archives-ouvertes.fr/hal-01269004

H. T. Cho and D. J. Cosgrove, Regulation of Root Hair Initiation and Expansin Gene Expression in Arabidopsis, THE PLANT CELL ONLINE, vol.14, issue.12, pp.3237-3253, 2002.
DOI : 10.1105/tpc.006437

F. A. Clowes, APICAL MERISTEMS OF ROOTS, Biological Reviews, vol.139, issue.4, pp.501-527, 1959.
DOI : 10.2307/2482361

R. G. Cormack and C. Darwin, The development of root hairs in angiosperms, The Botanical Review, vol.38, issue.9, pp.583-612, 1880.
DOI : 10.1007/BF03161461

D. Ioio, R. Nakamura, K. Moubayidin, L. Perilli, S. Taniguchi et al., A Genetic Framework for the Control of Cell Division and Differentiation in the Root Meristem, Science, vol.449, issue.4, pp.1380-1384, 2008.
DOI : 10.1105/tpc.104.029272

L. Dolan, C. M. Duckett, C. Grierson, P. Linstead, K. Schneider et al., Clonal relationships and cell patterning in the root epidermis of Arabidopsis, Development, vol.120, pp.2465-2474, 1994.

J. G. Dubrovsky and L. F. Gómez-lomeli, Water deficit accelerates determinate developmental program of the primary root and does not affect lateral root initiation in a Sonoran Desert cactus (Pachycereus pringlei, Cactaceae), American Journal of Botany, vol.90, issue.6, pp.823-831, 2003.
DOI : 10.3732/ajb.90.6.823

C. Dunand, M. Crèvecoeur, and C. Penel, Distribution of superoxide and hydrogen peroxide in Arabidopsis root and their influence on root development: possible interaction with peroxidases, New Phytologist, vol.82, issue.2, 2007.
DOI : 10.1016/S0378-1119(02)00465-1

R. O. Erickson, S. , and K. B. , Elemental growth rate of the primary root of Zea mays, Proc. Am. Philos. Soc, vol.100, pp.487-498, 1956.

R. O. Erickson, S. , and K. B. , Rates of cell division and cell elongation in the growth of the primary root of Zea mays, Proc. Am. Philos. Soc, vol.100, pp.499-514, 1956.

P. Ferreira, A. Hemerly, J. De-almeida-engler, C. Bergounioux, S. Burssens et al., Three discrete classes of Arabidopsis cyclins are expressed during different intervals of the cell cycle., Proc. Natl. Acad. Sci. 91, pp.11313-11317, 1994.
DOI : 10.1073/pnas.91.24.11313

F. Fiorani and G. T. Beemster, Quantitative Analyses of Cell Division in Plants, Plant Molecular Biology, vol.49, issue.19, pp.963-979, 2006.
DOI : 10.1017/CBO9780511626227

S. Freixes, M. Thibaud, F. Tardieu, B. Muller, A. P. French et al., Root elongation and branching is related to local hexose concentration in Arabidopsis thaliana seedlings, Plant, Cell and Environment, vol.118, issue.10, pp.1357-13661746, 2002.
DOI : 10.1073/pnas.96.11.6529

R. H. Goodwin and W. Stepka, Growth and Differentiation in the Root Tip of Phleum pratense, American Journal of Botany, vol.32, issue.1, pp.36-46, 1945.
DOI : 10.2307/2446526

C. Granier and F. Tardieu, Spatial and temporal analyses of expansion and cell cycle in sunflower leaves. A common pattern of development for all zones of a leaf and different leaves of a plant, Plant Physiol, vol.1163, pp.991-1001, 1998.

P. B. Green, Growth and Cell Pattern Formation on an Axis: Critique of Concepts, Terminology, and Modes of Study, Botanical Gazette, vol.137, issue.3, pp.187-202, 1976.
DOI : 10.1086/336858

Y. Guédon, Exploring the latent segmentation space for the assessment of multiple change-point models, Computational Statistics, vol.63, issue.1, pp.2641-2678, 2013.
DOI : 10.1111/j.1541-0420.2006.00662.x

Y. Guédon, Segmentation uncertainty in multiple change-point models, Statistics and Computing, vol.63, issue.1, pp.303-320, 2015.
DOI : 10.1111/j.1541-0420.2006.00662.x

Y. Guédon, Slope heuristics for multiple change-point models, 30th International Workshop on Statistical Modelling, pp.103-106, 2015.

D. M. Hawkins, Point Estimation of the Parameters of Piecewise Regression Models, Applied Statistics, vol.25, issue.1, pp.51-57, 1976.
DOI : 10.2307/2346519

Z. M. Hejnowicz, G. K. Muday, J. G. Dubrovsky, V. B. Ivanov, and J. G. Dubrovsky, Growth and cell division in the apical meristem of wheat roots Ethylene? auxin interactions regulate lateral root initiation and emergence in Arabidopsis thaliana Longitudinal zonation pattern in plant roots: conflicts and solutions, Physiol. Plant. Plant J. Trends Plant Sci, vol.12, issue.18, pp.124-138, 1959.

J. Le, F. Vandenbussche, D. Van-der-straeten, and J. Verbelen, In the Early Response of Arabidopsis Roots to Ethylene, Cell Elongation Is Up- and Down-Regulated and Uncoupled from Differentiation, PLANT PHYSIOLOGY, vol.125, issue.2, pp.519-522, 2001.
DOI : 10.1104/pp.125.2.519

J. Le, F. Vandenbussche, D. Van-der-straeten, and J. Verbelen, Position and cell type-dependent microtubule reorientation characterizes the early response of the Arabidopsis root epidermis to ethylene, Physiologia Plantarum, vol.129, issue.3, pp.513-519, 1104.
DOI : 10.1038/35079128

Z. Ma, T. I. Baskin, K. M. Brown, and J. P. Lynch, Regulation of Root Elongation under Phosphorus Stress Involves Changes in Ethylene Responsiveness, PLANT PHYSIOLOGY, vol.131, issue.3, pp.1381-1390, 2003.
DOI : 10.1104/pp.012161

J. W. Macadam, R. E. Sharp, N. , and C. J. , Peroxidase Activity in the Leaf Elongation Zone of Tall Fescue : II. Spatial Distribution of Apoplastic Peroxidase Activity in Genotypes Differing in Length of the Elongation Zone, PLANT PHYSIOLOGY, vol.99, issue.3, pp.879-885, 1992.
DOI : 10.1104/pp.99.3.879

C. F. Mouchel, G. C. Briggs, and C. S. Hardtke, Natural genetic variation in Arabidopsis identifies BREVIS RADIX, a novel regulator of cell proliferation and elongation in the root, Genes & Development, vol.18, issue.6, pp.700-714, 2004.
DOI : 10.1101/gad.1187704

V. M. Muggeo, Estimating regression models with unknown break-points, Statistics in Medicine, vol.50, issue.19, pp.3055-3071, 2003.
DOI : 10.1111/1467-9884.00260

B. Muller, G. Bourdais, B. Reidy, C. Bencivenni, A. Massonneau et al., Association of Specific Expansins with Growth in Maize Leaves Is Maintained under Environmental, Genetic, and Developmental Sources of Variation, PLANT PHYSIOLOGY, vol.143, issue.1, pp.278-290, 2007.
DOI : 10.1104/pp.106.087494

URL : https://hal.archives-ouvertes.fr/hal-00412583

B. Muller, M. Reymond, and F. Tardieu, The elongation rate at the base of a maize leaf shows an invariant pattern during both the steady???state elongation and the establishment of the elongation zone, Journal of Experimental Botany, vol.52, issue.359, pp.1259-1268, 2001.
DOI : 10.1093/jexbot/52.359.1259

B. Muller, M. Stosser, and F. Tardieu, Spatial distributions of tissue expansion and cell division rates are related to irradiance and to sugar content in the growing zone of maize roots, Plant, Cell and Environment, vol.20, issue.2, 1998.
DOI : 10.1016/0098-8472(80)90227-0

H. S. Neufeld, D. M. Durall, P. M. Rich, and D. T. Tingey, A rootbox for quantitative observations on intact entire root systems, Plant and Soil, vol.72, issue.2, pp.295-298, 1989.
DOI : 10.1093/treephys/3.4.393

E. Pacifici, L. Polverari, and S. Sabatini, Plant hormone cross-talk: the pivot of root growth, Journal of Experimental Botany, vol.66, issue.4, pp.1113-1121, 2015.
DOI : 10.1093/jxb/eru534

L. Pagès, V. Serra, X. Draye, C. Doussan, and A. Pierret, Estimating root elongation rates from morphological measurements of the root tip, Plant and Soil, vol.57, issue.1-2, pp.35-44, 2010.
DOI : 10.1007/978-3-662-04188-8

B. Parent, G. Conéjéro, and F. Tardieu, Spatial and temporal analysis of non-steady elongation of rice leaves, Plant, Cell & Environment, vol.145, issue.4, 2009.
DOI : 10.1104/pp.114.2.519

URL : https://hal.archives-ouvertes.fr/hal-00445472

S. Passot, F. Gnacko, D. Moukouanga, M. Lucas, S. Guyomarc-'h et al., Characterization of Pearl Millet Root Architecture and Anatomy Reveals Three Types of Lateral Roots, Frontiers in Plant Science, vol.178, issue.790, 2016.
DOI : 10.1111/j.1469-8137.2007.02358.x

URL : https://hal.archives-ouvertes.fr/hal-01398441

J. Pritchard, P. W. Barlow, J. S. Adam, and A. D. Tomos, Biophysics of the Inhibition of the Growth of Maize Roots by Lowered Temperature, PLANT PHYSIOLOGY, vol.93, issue.1, pp.222-230, 1990.
DOI : 10.1104/pp.93.1.222

P. R. Ryan, J. M. Ditomaso, and L. V. Kochian, Aluminium Toxicity in Roots: An Investigation of Spatial Sensitivity and the Role of the Root Cap, Journal of Experimental Botany, vol.44, issue.2, pp.437-446, 1993.
DOI : 10.1093/jxb/44.2.437

J. Sachs, Über das Wachstum der Haupt und Nebenwurzeln, Arbeiten des Botanischen Instituts in Würzburg, vol.3, pp.395-477, 1873.

L. Sánchez-calderón, J. López-bucio, A. Chacón-lópez, A. Cruz-ramírez, F. Nieto-jacobo et al., Phosphate Starvation Induces a Determinate Developmental Program in the Roots of Arabidopsis thaliana, Plant and Cell Physiology, vol.46, issue.1, pp.174-184, 2005.
DOI : 10.1093/pcp/pci011

R. E. Sharp, W. K. Silk, and T. C. Hsiao, Growth of the Maize Primary Root at Low Water Potentials : I. Spatial Distribution of Expansive Growth, PLANT PHYSIOLOGY, vol.87, issue.1, pp.50-57, 1988.
DOI : 10.1104/pp.87.1.50

W. K. Silk, Steady Form from Changing Cells, International Journal of Plant Sciences, vol.153, issue.3, Part 2, pp.49-58, 1992.
DOI : 10.1086/297063

W. K. Silk, E. M. Lord, and K. J. Eckard, Growth Patterns Inferred from Anatomical Records : Empirical Tests Using Longisections of Roots of Zea mays L., PLANT PHYSIOLOGY, vol.90, issue.2, pp.708-713, 1989.
DOI : 10.1104/pp.90.2.708

E. W. Sinnott and R. Bloch, Cell Polarity and the Differentiation of Root Hairs, Proceedings of the National Academy of Sciences, vol.25, issue.5, pp.248-252, 1939.
DOI : 10.1073/pnas.25.5.248

G. Taramino, M. Sauer, J. L. Stauffer, D. Multani, X. Niu et al., The maize (Zea mays L.) RTCS gene encodes a LOB domain protein that is a key regulator of embryonic seminal and post-embryonic shootborne root initiation Biophysical and biochemical control of cell expansion in roots and leaves, Plant J. J. Exp. Bot, vol.50, issue.45, pp.649-659, 1994.

C. M. Van-der-weele, H. S. Jiang, K. K. Palaniappan, V. B. Ivanov, K. Palaniappan et al., A New Algorithm for Computational Image Analysis of Deformable Motion at High Spatial and Temporal Resolution Applied to Root Growth. Roughly Uniform Elongation in the Meristem and Also, after an Abrupt Acceleration, in the Elongation Zone, PLANT PHYSIOLOGY, vol.132, issue.3, pp.1138-1148, 2003.
DOI : 10.1104/pp.103.021345

A. H. Walter, H. Spies, S. Terjung, R. Kusters, N. Kirchge?ner et al., Spatio???temporal dynamics of expansion growth in roots: automatic quantification of diurnal course and temperature response by digital image sequence processing, Journal of Experimental Botany, vol.53, issue.369, pp.689-698, 2002.
DOI : 10.1093/jexbot/53.369.689

M. Watt, M. E. Mccully, and J. A. Kirkegaard, Soil strength and rate of root elongation alter the accumulation of Pseudomonas spp. and other bacteria in the rhizosphere of wheat, Functional Plant Biology, vol.30, issue.5, pp.483-491, 1071.
DOI : 10.1071/FP03045

G. West, D. Inzé, and G. T. Beemster, Cell Cycle Modulation in the Response of the Primary Root of Arabidopsis to Salt Stress, PLANT PHYSIOLOGY, vol.135, issue.2, pp.1050-1058, 2004.
DOI : 10.1104/pp.104.040022

K. Woll, L. A. Borsuk, H. Stransky, D. Nettleton, P. S. Schnable et al., Isolation, Characterization, and Pericycle-Specific Transcriptome Analyses of the Novel Maize Lateral and Seminal Root Initiation Mutant rum1, PLANT PHYSIOLOGY, vol.139, issue.3, pp.1255-1267, 2005.
DOI : 10.1104/pp.105.067330

N. Wuyts, J. Palauqui, G. Conejero, J. Verdeil, C. Granier et al., High-contrast three-dimensional imaging of the Arabidopsis leaf enables the analysis of cell dimensions in the epidermis and mesophyll, Plant Methods, vol.6, issue.1, pp.17-27, 2010.
DOI : 10.1186/1746-4811-6-17

URL : https://hal.archives-ouvertes.fr/hal-00508435

M. Yamaguchi, B. Valliyodan, J. Zhang, M. E. Lenoble, O. Yu et al., Regulation of growth response to water stress in the soybean primary root. I. Proteomic analysis reveals region-specific regulation of phenylpropanoid metabolism and control of free iron in the elongation zone, Plant, Cell & Environment, vol.145, issue.2, pp.223-243, 2010.
DOI : 10.1104/pp.111.3.765