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Water transport through tall trees: A vertically explicit,analytical model of xylem hydraulic conductance in stems
Authors:Valentin Couvreur  Glenn Ledder  Stefano Manzoni  Danielle A. Way  Erik B. Muller  Sabrina E. Russo
Affiliation:1. Earth and Life Institute—Agronomy, Université Catholique de Louvain, Louvain‐la‐Neuve, Belgium;2. Department of Mathematics, University of Nebraska—Lincoln, Lincoln, NE, USA;3. Department of Physical Geography and Bolin Centre for Climate Research, Stockholm University, Stockholm, Sweden;4. Department of Biology, University of Western Ontario, London, Ontario, Canada;5. Nicholas School of the Environment, Duke University, Durham, NC, USA;6. Department of Biology, Norwegian University of Science and Technology, Trondheim, Norway;7. Marine Science Institute, University of California, Santa Barbara, CA, USA;8. School of Biological Sciences, University of Nebraska—Lincoln, Lincoln, NE, USA
Abstract:Trees grow by vertically extending their stems, so accurate stem hydraulic models are fundamental to understanding the hydraulic challenges faced by tall trees. Using a literature survey, we showed that many tree species exhibit continuous vertical variation in hydraulic traits. To examine the effects of this variation on hydraulic function, we developed a spatially explicit, analytical water transport model for stems. Our model allows Huber ratio, stem‐saturated conductivity, pressure at 50% loss of conductivity, leaf area, and transpiration rate to vary continuously along the hydraulic path. Predictions from our model differ from a matric flux potential model parameterized with uniform traits. Analyses show that cavitation is a whole‐stem emergent property resulting from non‐linear pressure‐conductivity feedbacks that, with gravity, cause impaired water transport to accumulate along the path. Because of the compounding effects of vertical trait variation on hydraulic function, growing proportionally more sapwood and building tapered xylem with height, as well as reducing xylem vulnerability only at branch tips while maintaining transport capacity at the stem base, can compensate for these effects. We therefore conclude that the adaptive significance of vertical variation in stem hydraulic traits is to allow trees to grow tall and tolerate operating near their hydraulic limits.
Keywords:gravity  Huber ratio  matric flux potential  sapwood saturated conductivity  tree height  water relations  xylem cavitation  xylem transport
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