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Natural Science Division, Pepperdine University, Malibu, California 90263-4321; and 3Department of Biology, University of Utah, Salt Lake City, Utah 84112
Received for publication October 1, 1998. Accepted for publication February 25, 1999.
| ABSTRACT |
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Key Words: cavitation embolism freezing stress hydraulic conductivity water transport wood anatomy xylem structure and function
| INTRODUCTION |
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The problem begins with dissolved gases in the xylem sap. Freezing the sap forces these gases out of solution to form bubbles in the ice. On thawing, these bubbles can either dissolve back into the xylem sap or they can grow to obstruct the entire xylem conduit, a process called ";t1cavitation." Cavitation is followed by embolism, wherein the largely vapor-filled conduit becomes filled with air at atmospheric pressure as gases diffuse from surrounding tissue. Whether a bubble dissolves or nucleates, cavitation depends on its internal pressure (Pb), which is a function of its radius of curvature (R), the surface tension of the xylem sap (T), and the xylem sap pressure (Px; all pressures relative to atmospheric):
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Pwv-(2T/R), where Px is the xylem pressure following the thaw.
It follows that susceptibility to freezing-induced cavitation should increase for more negative Px and larger R. The magnitude of Px depends in part on the transpiration rate and soil water potential during the freezethaw event. The R will depend at least in part on the size of the xylem conduit. The larger the conduit, the more air will be frozen out of solution and the larger the bubbles should be in the frozen conduit. Considerable evidence confirms that larger xylem vessels are more vulnerable to cavitation by freezing than smaller vessels and tracheids (Hammel, 1967
; Sucoff, 1969; Ewers, 1985
; Sperry and Sullivan, 1992
; LoGullo and Salleo, 1993
; Hacke and Sauter, 1996
; Langan, Ewers, and Davis, 1997
). Conifers actually suffer no freezing-induced cavitation unless Px becomes very negative (i.e., <-5 MPa) during the freeze (Sperry and Sullivan, 1992
). This presumably lengthens their growing season, allowing them to retain evergreen foliage and continue gas exchange despite experiencing frequent frosts.
Why do not all temperate plants have small enough vessels or tracheids so they can avoid the problem of cavitation by freezing? One obvious reason is that smaller conduits are less efficient in water transport and would tend to support lower rates of gas exchange for a given stem diameter. Rather than avoid freezing-induced cavitation with a concomitant loss in conducting efficiency, many plants cavitate extensively during freezing weather. These plants tend to be winter deciduous and restore transport after freezing by growing new conduits or refilling cavitated ones by increasing Px to near or above atmospheric via root pressure and other means (Ewers, 1985
; Sperry and Sullivan, 1992
; Sperry et al., 1994
; Hacke and Sauter, 1996
). A cost of the deciduous "strategy" is a shortened growing season, with the later budbreak in the spring occurring in the progressively larger vesseled species (Wang, Ives, and Lechowicz, 1992
).
The susceptibility to cavitation by freezing provides a hypothetical link between xylem structure, vegetative phenology, plant distribution with respect to frost, gas exchange capability, and refilling capability. Unfortunately, our ability to test these hypotheses has been limited by the laborious procedures required to quantify the resistance of xylem to freezing-induced cavitation. The purpose of this paper is to introduce a simple procedure based on the centrifugal force technique for measuring water-stress induced cavitation (Pockman, Sperry, and O'Leary, 1995
; Alder et al., 1997
). We use this method to develop an empirical relationship between conduit diameter and resistance to cavitation by a freeze-thaw event.
| MATERIALS AND METHODS |
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712 mm diameter were cut from the branches under water in the laboratory. Segments were either unbranched or had only minor side branches and were relatively straight so they could fit in a custom-designed centrifuge rotor.
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Hydraulic conductivity was calculated as the flow rate of measuring fluid through the stem per pressure gradient. Branch segments were mounted in a tubing apparatus, and flow rate was measured gravimetrically under a hydraulic pressure head. In coniferous and diffuse-porous trees we used pressure heads of
510 kPa. In ring-porous trees, these pressures were sufficient to displace air from gas-filled vessels that were longer than the segment, causing immediate refilling. For segments of these species we used pressures below 2.5 kPa, which avoided the refilling problem.
To improve the accuracy of the conductivity measurement, we determined the flow rate in the absence of an applied pressure head before and after measuring the pressure-induced flow for each segment. The zero-pressure "background" flow was averaged and subtracted from the pressurized flow to obtain the net flow under pressure, which was used in the conductivity calculation. We used purified and filtered (0.22 µm) water as our measuring solution. In earlier work we have used various acids to inhibit microbial growth in the tubing. We now use frequent bleaching of the apparatus to control microbial growth.
For the non-ring-porous species, we flushed the stems with water at
50 kPa pressure for
30 min to reverse any native embolism and insure that the initial conductivity measurement reflected the normal maximum conductivity of the segment. We did not flush ring-porous trees because that caused refilling of multiple years of earlywood vessels that would never be functional in situ (cf. Sperry, Perry, and Sullivan, 1991
; Sperry and Sullivan, 1992
; Sperry et al., 1994
). To avoid inducing embolism while harvesting branches from the long-vesseled ring-porous species, we cut them from the parent plant under water using a split funnel sealed around the stem. Ring-porous species were collected in early summer when their native conductivity would be near their maximum value.
For each segment we estimated the "specific conductivity" of the branch from the maximum (flushed) conductivity divided by the stem transverse area. Ring-porous material was flushed for these measurements. Stem area was estimated from stem diameter and included pith and bark tissue. A more accurate determination of specific conductivity could be obtained by staining the sapwood, allowing a precise measurement of the sapwood transverse area.
Centrifuge experiments
Segments were mounted in custom-designed centrifuge rotors designed to fit either IEC or Sorvall centrifuges (IEC model B20A, Needham Heights, Massachusetts; Sorvall Model RC-5C, Kendro Laboratory Products, Newton, Connecticut). Plans for these rotors are available from the second author on request. The center of each segment was held at the axis of rotation, and the ends were immersed in water during rotation. The negative pressure in the xylem is a function of the segment length and the angular velocity of the rotor (Alder et al., 1997
).
In control experiments, segments were held at a constant negative pressure (constant angular velocity) for
5 min in the centrifuge, removed, and the loss of conductivity caused by the pressure was determined. Previous work has shown that the cavitation response is saturated by 2 min of spinning at a given pressure and does not change after 4 h (Pockman, Sperry, and O'Leary, 1995
; Alder et al., 1997
). In some experiments, single segments were respun to allow a stepwise increase in negative pressures so that an entire "water stress vulnerability curve" was obtained, which showed the complete relationship between xylem pressure and loss of conductivity for that segment. The water stress vulnerability curve for Abies lasiocarpa was taken from Alder et al. (1997) for material collected at the same site (Table 1) and measured by similar methods.
In freezing experiments, segments were held at negative pressure for 3 h while undergoing a controlled freezethaw cycle. As in controls, the cavitation caused by the combined negative pressure and freezethaw treatment was estimated from the loss of hydraulic conductivity. Unlike controls, vulnerability curves were not made by reusing the same segments and spinning to progressively more negative pressures. Instead, separate segments were used at each test pressure. This was done to avoid the possibility that a freeze-thaw cycle would alter the subsequent vulnerability of the segments to cavitation by water stress. Centrifuge temperatures were regulated in part by using the temperature controls of the centrifuge itself. In addition, the centrifuge chamber was lined with copper tubing through which methanol was circulated from an external temperature bath (model 1157, VWR Scientific; model Lt-50, Neslab Instrument Inc., Portsmouth, New Hampshire). Vulnerabilities of control (nonfrozen) and frozen stems were compared with a Student's t test at each pressure.
Preliminary experiments monitored the rate of cooling and warming, minimum temperature, and freezing temperature in spinning stems during the 3-h freezethaw protocol. We used a battery-operated device to log temperature in the stem xylem at the center of rotation (HOBO HTEA-37+46, Onset Computer Corp., Pocasset, Massachusetts). We settled on a protocol that gave a 0.25°C/min cooling rate to a minimum temperature of -12°C to -15°C. Exotherms were observed between -2°C and -6°C. Thawing occurred at 0.45°C/min. In this protocol, the centrifuge chamber and nonspinning rotor was precooled to
4°C while the circulating bath temperature was set to -4°C. Stems were inserted and allowed to equilibrate for 10 min. The rotor was spun at the desired angular velocity, while the temperature on the circulating bath was set to -20°C for 1 h and 30 min. To warm the stems, the centrifuge and bath were set to 10°C.
Xylem conduit diameter
For each species, six of the segments used in the cavitation experiments were also used for measurements of conduit diameter. A transverse section was cut at the midpoint of the segment, and all the conduits were measured in at least three radial sectors of the most recent growth ring. Sectors were located randomly around the stem circumference. Diameter measurements were made by tracing the inner perimeter of the conduit lumen using a camera lucida and bit pad arrangment (Microplan II, Donsanto, Inc., Natuck, Massachusetts). Diameters were calculated for the circle of the same area as the conduit lumen. Means for each segment were calculated (N > 100 conduits), and a grand mean was determined for each species (N = 6 segment means).
We also calculated the mean conduit diameter on the basis of each conduit's contribution to hydraulic conductivity. According to the Hagen-Poiseuille relationship, a conduit's hydraulic conductivity is proportional to its diameter to the fourth power. Therefore, we took each conduit diameter (d) and multiplied it by its diameter to the fourth power (d4) to represent the conduit in proportion to its contribution to conductivity. The mean of this hydraulically weighted diameter distribution was the sum of all conduit diameters (
d5) divided by the total number of conduits (
d4; Sperry et al., 1994
).
| RESULTS |
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A more precise estimate of the cavitation diameter was obtained from the original conduit diameter distributions. If we assume that the conductivity of the segment is proportional to the sum of the conduit diameters raised to the fourth power, we can calculate the percentage loss of conductivity associated with any arbitrarily chosen cavitation diameter (dc) as:
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(d
dc)4 is the sum of diameters greater than or equal to the cavitation diameter raised to the fourth power, and
d4 is the sum of all the diameters raised to the fourth power. The predicted cavitation diameter is the one given the best fit to the empirical data in Fig. 2A. As seen in Fig. 3, the best fit (r2 = 0.96) was achieved for a cavitation diameter of 44 µm. This analysis assumed that the only cause of a loss of conductivity in the experiment was cavitation by freezing (i.e., no cavitation caused by the -0.5 MPa pressure in the absence of a freeze-thaw cycle). The data point showing the largest deviation from prediction was Euonymus kiautschovicus where the measured percentage loss of conductivity was greater than the predicted value of 0%, perhaps owing to limited cavitation by water stress at the -0.5 MPa pressure.
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| DISCUSSION |
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;t144 µm for Px = -0.5 MPa would be R
0.36 µm.
A priori, we expected the centrifuge method to overestimate the cavitation associated with a freezethaw cycle compared to experiments employing more natural conditions. In a non-transpiring intact plant or branch, the pressure in the liquid phase should increase while ice is forming because of the expansion of ice (Robson and Petty, 1987
). If this increased pressure is also present during the thawing phase, bubbles could dissolve more rapidly than otherwise and be smaller (and more resistant to cavitation) when pressures dropped as ice completely melted. In contrast, in the centrifuge experiments the liquid water should remain under a constant negative pressure during the freezing and thawing process, which would favor bubble expansion and cavitation.
In fact, the centrifuge results were very similar to results obtained by freezing and thawing branches under more natural conditions. We purposely chose three species examined earlier by Sperry and Sullivan (1992)
for the sake of comparison. Our results showing no freezing-induced cavitation in the conifer Abies lasiocarpa (Fig. 1A), intermediate cavitation in Betula occidentalis (Fig. 1C), and nearly complete cavitation in Quercus gambelii (Fig. 2) are nearly identical to their findings (their Fig. 3). Our results are also consistent with those of Langan, Ewers, and Davis (1997) on two chaparral shrubs. They reported
90% loss of conductivity during gradual freezethaw cycles in Rhus laurina at approximately -0.5 MPa. The mean vessel diameter in this species was 40 µm (maximum = 80 µm). In contrast, the smaller vesseled Ceanothus megacarpus (mean 21, maximum 42 µm) showed
35% loss of conductivity while gradually frozen and thawed at approximately -1.2 MPa. This percentage would probably have been lower at the pressure of -0.5 MPa employed in our survey. Our prediction of 44 µm as the critical conduit diameter causing cavitation by freezing is also similar to Ewers' estimate of 49 µm based on observation of bubble formation in xylem conduits (Ewers, 1985
).
Sperry and Sullivan (1992)
argued that the determining factor for bubble size in thawing conduits was conduit volume rather than conduit diameter, because it is the volume of water that determines the volume of air frozen out of solution, and thus the size of the bubbles. However, if the freezing occurs in a centripetal direction from the conduit wall, the air will diffuse towards the center of the lumen and freeze out in a long narrow and possibly interrupted cylinder, similar to what has been observed in frozen conifer tracheids (Sucoff, 1969; Robson, McHardy, and Petty, 1988
). On thawing, as these long bubbles round up, their radius of curvature could be relatively independent of conduit length, at least for conduits longer than some minimum length. Whether volume or diameter is more important to freezing vulnerability could be resolved, perhaps, by repeating our experiment on tracheid-bearing species with significant numbers of tracheids over 44 µm in diameter. If diameter is the primary determining factor, they should fall on the trend line shown in Fig. 2. If volume is more important, they should show less cavitation than predicted from Fig. 2.
With the exception of Hedera helix, the other two evergreen species in our survey (Table 1) had sufficiently narrow conduits to avoid freezing-induced cavitation. Hedera helix, as a vine, presents an interesting situation. Although it had relatively large vessels, averaging 37 µm in diameter, they were not large enough to cause complete failure of water transport as has been reported for other temperate deciduous vines (Sperry et al., 1987
). We would expect this species to either refill its cavitated vessels prior to the growing season, as in some other vines, or to simply replace them with new large-diameter conduits as in ring-porous trees (Hacke and Sauter, 1996
). The three species with ring-porous wood exhibited severe loss of conductivity by freezing. They are all winter-deciduous species and tend to be the latest to leaf out in the spring (Sperry and Sullivan, 1992
). Among the diffuse-porous species, the earliest to leaf out is Prunus virginiana (J. S. Sperry, personal observation). Consistent with this are its relatively narrow conduits and minimal loss of conductivity from freezing. Many of the larger diameter diffuse-porous species are known to exhibit root pressure in the spring, which in some cases has also been shown to refill cavitated conduits (Alnus incana, Cornus sericea, Betula occidentalis; Sperry and Sullivan, 1992
; Sperry et al., 1994
; J. S. Sperry, personal observation).
The centrifugal method shows promise for refining our understanding of freezing-induced cavitation in xylem. We now can put a provisional limit on the conduit diameter above which cavitation by freezing should occur under most field conditions. We predict that temperate-zone species with significant numbers of conduits over 44 µm have evolved mechanisms for coping with a potentially extensive loss of water transport capability caused by freezing events. These mechanisms would include timing of vegetative phenology and radial xylem growth, refilling capability, and protection of surfaces against water loss. Plants having all conduits narrower than 44 µm would not be constrained by freezing-induced cavitation (whether conifers or angiosperms), but would have less efficient xylem for conducting water during the growing season (Fig. 4). The centrifugal method should also help resolve effects of freezing and thawing rates (Langan, Ewers, and Davis, 1997
), minimum freezing temperature (LoGullo and Salleo, 1993
; Pockman and Sperry, 1997
), multiple freeze-thaw cycles (Sperry et al., 1994
; Utsumi et al., 1998
) and possibly refilling capability.
| FOOTNOTES |
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4 Author for correspondence (davis{at}pepperdine.edu
). ![]()
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