A model of the variation of water potential and diameter within a woody axis cross-section under transpiration conditions

The spatio-temporal variation of water potential and the corresponding changes in diameter in a woody axis cross-section have been modelled. The two-dimensional space model is based on the assumption that the water flux is regulated by Darcy's law which leads to a diffusion type equation. This...

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Bibliographic Details
Published in:Trees (Berlin, West) West), 1998-04, Vol.12 (5), p.293-301
Main Authors: PANTERNE, P, BURGER, J, CRUIZIAT, P
Format: Article
Language:English
Subjects:
Agronomy. Soil science and plant productions
Biological and medical sciences
Cross-sections
Darcys law
Dendrometry. Forest inventory
Economic plant physiology
Forestry
Fundamental and applied biological sciences. Psychology
Studies
Transpiration
Water potential
Water relations, transpiration, stomata
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Summary:The spatio-temporal variation of water potential and the corresponding changes in diameter in a woody axis cross-section have been modelled. The two-dimensional space model is based on the assumption that the water flux is regulated by Darcy's law which leads to a diffusion type equation. This equation takes into account the water movements to and from the xylem vessels in space and time. The water potential of the vessels being given, a numerical solution provided the values of the water potential variations of the wood and peripheral elastic tissues in the woody axis cross-section throughout the day. By specifying that the predawn water potential equilibrates throughout the whole section, this study enabled us to determine a range of satisfactory values of parameters. A first validation was given by an application of the model to a peach-tree. It was performed by comparing the calculated variations in diameter of a trunk to those which were measured. In conclusion we discuss some physiological consequences of the model.[PUBLICATION ABSTRACT]
ISSN:0931-1890
1432-2285
DOI:10.1007/s004680050154