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JXB Advance Access published online on August 25, 2006
Journal of Experimental Botany, doi:10.1093/jxb/erl075
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© The Author [2006]. Published by Oxford University Press [on behalf of the Society for Experimental Biology]. All rights reserved. For Permissions, please e-mail: journals.permissions@oxfordjournals.org
Received March 23, 2006
Accepted June 7, 2006

RESEARCH PAPER

Similarities and gradients in growth unit branching patterns during ontogeny in ‘Fuji’ apple trees: a stochastic approach

Michael Renton 1, Yann Guédon 2, Christophe Godin 2, and Evelyne Costes 1 *

1 UMR BEPC INRA/AgroM/CIRAD/IRD, Equipe Architecture et Fonctionnement des Espèces Fruitières, 2 Place P. Viala, F-34060 Montpellier Cedex 1, France
2 UMR AMAP CIRAD/CNRS/INRA/IRD/Univ. Montp. II, Botanique et Bioinformatique de l'Architecture des Plantes, CIRAD TA40/PS2, F-34398 Montpellier Cedex 5, France; INRIA, Virtual Plants Team, 2004 Route des Lucioles BP 93, F-06902, Sophia-Antipolis, France

* To whom correspondence should be addressed.
Evelyne Costes, E-mail: costes{at}ensam.inra.fr


  Abstract

This study aims to explore and model the changes in growth unit (GU) branching patterns during tree ontogeny. The question was addressed in apple trees cv. ‘Fuji’, by analysing the relative impact of GU length and within-tree position. The development of two 6-year-old trees was recorded over 6 years. The fate of axillary buds along each GU was represented as a sequence of symbols corresponding to five types of lateral growth: latent buds, short, medium, long, and floral lateral GUs. Based on an exploratory analysis of data and a priori hypotheses, a hidden semi-Markov chain was estimated from all of these GU sequences. This model was composed of six transient states representing successive branching zones along the GUs. The accuracy of this global model was a posteriori assessed by fitting the characteristic distributions computed from model parameters to the corresponding empirical characteristic distributions extracted from the observed sequences. The observed sequences were then grouped hierarchically according to the GU length, year of growth, and branching order. Comparing model parameters between these sub-groups revealed similarities between GUs. These similarities were based on particular branching zones whose composition and relative position within the GUs remained invariant across the subgroups: the latent zones, floral zone, and short-lateral zone. The probability of occurrence of the floral zone varied with the year, showing the alternate fruiting of ‘Fuji’. It is shown that, during tree ontogeny, as GU length decreases, branching patterns tend to progressively simplify due to the disappearance of the most central zones and a progressive reduction in the length of the floral zone.

Keywords: Branching; flowering; hidden semi-Markov chain; tree architecture.
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