, Volume 69, Issue 2, pp 153-165

Stochastic modelling of tree annual shoot dynamics

Purchase on Springer.com

$39.95 / €34.95 / £29.95 *

* Final gross prices may vary according to local VAT.

Get Access

Abstract

• Context

Modelling annual shoot development processes is a key step towards functional–structural modelling of trees. Various patterns of meristem activity can be distinguished in tree shoots, with active periods of phytomer production followed by rest periods. This approach has seldom been integrated in functional–structural tree models.

• Aims

This paper presents theoretical research work on modelling and computation of the dynamics of tree annual shoots using stochastic processes with various development patterns: continuous or rhythmic, monocyclic or polycyclic, “seasonal” or “a-seasonal”, with preformation or neoformation produced from meristem functioning.

• Methods

The renewal theory is used to compute stochastic aspects of phytomer production, resulting from meristem extension or rest periods and meristem mortality.

• Results

Continuous development can be modelled with a Bernoulli process, while rhythmic development is modelled by alternation between extension and rest periods, the duration of each period following specific distributions.

• Conclusion

The application of such stochastic modelling is the estimation of organ production during tree development as a component of the demand in functional–architectural tree models, used for computing biomass production and partitioning.

Handling Editor: Erwin Dreyer

Contribution of the co-authors

Philippe de Reffye: developed the mathematical equations related to renewal theory and supervised the work.
MengZhen Kang: developed the simulation method of the model applied to tree structure.
This work is part of the PhD project of Jing Hua, who developed the computer programmes for the model implementation.
Daniel Auclair: was in charge of the model applications and co-supervised the work. He edited the English version of the manuscript.