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     Techniques for Measuring Vessel Lengths and Diameters in Stems of Woody Plants

    Author(s): Frank W. Ewers and Jack B. FisherSource: American Journal of Botany , Vol. 76, No. 5 (May, 1989), pp. 645-656

    Published by: Botanical Society of America, Inc.

    Stable URL: http://www.jstor.org/stable/2444412

    Accessed: 08-04-2016 00:13 UTC

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     Amer. J. Bot. 76(5): 645-656. 1989.

     TECHNIQUES FOR MEASURING VESSEL LENGTHS AND

     DIAMETERS IN STEMS OF WOODY PLANTS

     FRANK W. EWERS AND JACK B. FISHER

     Department of Botany and Plant Pathology, Michigan State University, East Lansing, Michigan 48824;

     and Fairchild Tropical Garden, 11935 Old Cutler Road, Miami, Florida 33156

     ABSTRACT

     Results were compared between the latex paint and compressed air methods for determining

     total vessel lengths, and between the sectioning and maceration methods for determining vessel

     diameters. The minimum, mean, median, and maximum vessel diameters were less with the

     sectioning method than with the maceration technique. Vessel diameter distributions were

     always nonnormal and had roughly similar patterns with the two techniques, but were statistically

     different from one another. In all six species where the paint and air methods for determining

     vessel length were compared, both methods showed a similar skewed vessel length distribution,

     with many short vessels and few long ones. Although there was no consistent pattern to the

     difference in results with these two methods, the vessel length frequency distributions were

     statistically different from one another. With the paint method, many vessels, especially many

     of the narrowest ones, were not paint-filled at the paint infusion port. The air method utilized

     the paint method, in part, and, in addition, is based upon the incorrect assumption that all

     vessels in the stem are the same diameter. Both techniques tended to exclude vessel lengths of

     the narrowest vessels. However, the narrow vessels, although numerous, contributed an insig-

     nificant amount to the total theoretical hydraulic conductance in stems.

     THERE ARE MANY reports on the diameter and

     length of vessel members in plants (e.g., Bailey

     and Tupper, 1918; Baas, 1973; van der Graaff

     and Baas, 1974; Carlquist, 1975, 1977; van

     den Oever, Baas, and Zandee, 1981; Baas and

     Carlquist, 1985; Carlquist and Hoekman, 1985;

     Rury, 1985), but relatively few reports of total

     vessel length. Since a single vessel can consist

     of hundreds or thousands of vessel members,

     vessel length cannot be easily determined from

     conventional microscopic techniques.

     In the present report we make comparisons

     between the latex paint and compressed air

     methods for determining vessel length and be-

     tween the sectioning and maceration tech-

     niques for measuring vessel diameters. The only

     previously published comparison of the paint

     and air methods was by Zimmermann and Jeje

     (1981), who showed results from two stems of

     only one species, Acer saccharum. The sec-

     tioning and maceration techniques have not

     previously been compared in a manner that

     could allow us to determine their appropriate-

     ness for xylem structure and function studies.

     ' Received for publication 29 October 1987; revision

     accepted 27 October 1988.

     We thank M. Mattmuller, J. S. Sperry, and the late M.

     H. Zimmermann for instructions on how to measure vessel

     length, S.-T. Chiu and M. Kowalska for technical assis-

     tance, and J. S. Sperry, S. Carlquist, P. B. Tomlinson, and

     an anonymous reviewer for their many useful comments

     on the manuscript. This research was supported by the

     National Science Foundation (Grant BSR-8506370).

     Our long-term goal is to model water flow in

     lianas (woody vines).

     Vessel and tracheid diameter are widely rec-

     ognized as important for models of xylem

     transport (Carlquist, 1975; Zimmermann,

     1983; Siau, 1984; Gibson, Calkin, and Nobel,

     1985). According to Poiseuille's law for ideal

     capillaries, Kh (hydraulic conductance per unit

     length in m4 MPa-I sec-') is proportional to

     the summation of vessel or tracheid lumen

     diameters (d) each raised to the fourth power

     (Gibson et al., 1985):

     di4

     Kh predicted 128= Eq. 1

     where: 7 = dynamic viscosity of the fluid (MPa

     sec). Due to the fourth power relationship, when

     vessel lumens are twice as wide, Kh predicted

     is 16 times as great.

     Vessel diameters can be measured in sec-

     tioned material or from macerations. The sec-

     tioning method is more useful for determining

     the Kh predicted in a stem since, in transverse

     view, the vessel number as well as the diameter

     of each vessel lumen can be determined. The

     disadvantage in sectioned material is that the

     narrowest vessels may be difficult to distin-

     guish from tracheids or fibers.

     Since vessels are not ideal capillaries of in-

     finite length, the total length of vessels is also

     important for models of xylem transport. The

     645

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     646 AMERCANJOURNAL OF BOTANY [Vo. 76

     vessel length represents the maximum distance

     that a water molecule can travel without pass-

     ing through a pit membrane. A knowledge of

     vessel length is important for direct measure-

     ments of Kh in isolated stem segments (Zim-

     mermann, 1 978; Ewers, 1985; Ewers and Crui-

     ziat, in press). Ifthe stem segment used is shorter

     than most vessels, some of the resistance to

     flow offered by pits would be eliminated. Fur-

     thermore, vessel length information is relevant

     to studies of xylem dysfunction via emboli-

     zation. When water within a vessel is under

     sufficient tension, a gas bubble will expand to

     the total size of the vessel lumen. Since a gas

     bubble cannot easily pass through a wet pit

     membrane (Zimmermann, 1983; Newbanks,

     Bosch, and Zimmermann, 1983), the longi-

     tudinal extent of xylem dysfunction due to an

     embolism is equal to the length of the vessel.

     At least two major approaches have been

     used to quantify vessel length in woody stems.

     The first involves infusing the stem with mer-

     cury, hot wax, emulsions or colloidal suspen-

     sions (e.g., ferric hydroxide, India ink, Magdala

     red, lead acetate, latex paint) followed by sec-

     tioning to identify filled or marked vessels (Ad-

     ler, 1892; Ewart, 1906; Handley, 1936; Skene

     and Balodis, 1968; Zimmerman and Jeje, 1981;

     Salleo, Lo Gullo, and Siracusano, 1984). The

     emulsion and suspension particles are sup-

     posed to be of a size range such that they are

     small enough to pass through vessel lumens

     and perforation plates, but too large to pass

     through the pit membranes. Pores in pit mem-

     branes of dicotyledons range from about 0.005

     to 0.17 Am in diameter depending upon the

     species (Siau, 1984).

     A second approach involves forcing com-

     pressed gas through the stem (Bennett, An-

     derssen, and Milad, 1927; Handley, 1936;

     Greenidge, 1952; Scholander, 1958; Zimmer-

     mann andJeje, 1981; Sperryetal., 1987). This

     method depends upon the fact that gas cannot

     pass through wet pit membranes and hence,

     past vessel ends, except when very high pres-

     sures (>2,000 kPa) are used. A vessel that is

     cut open at both ends can pass gas even at low

     pressures (< 100 kPa).

     As these techniques were originally applied,

     they could give only the maximum vessel

     lengths in a stem. This is because it cannot be

     determined whether the infusion surface (xo)

     is near the distal, proximal, or median portion

     of any particular vessel. Skene and Balodis

     (1968) developed a statistical approach to de-

     termine vessel length frequency distributions

     from raw counts of the number of paint-filled

     vessels at regular distances (intervals) from xo

     to xn. Their analysis depended upon the as-

     sumptions that vessels are randomly distrib-

     uted along the stem segment and that individ-

     ual vessels do not branch.

     Zimmerman and Jeje (1981) modified the

     Skene and Balodis (1968) approach to correct

     for some of the statistical errors that can arise

     from nonrandom distribution of vessel ends.

     They experimented with injections of various

     substances and found dilute latex paint to be

     the most reliable for determining vessel length

     distribution. They stressed the importance of

     avoiding embolisms prior to perfusing latex

     into the xylem.

     Zimmermann and Jeje (198 1) also modified

     the compressed gas method by repeatedly mea-

     suring air conductivity as the stem was trimmed

     back at regular intervals. Under these condi-

     tions, conductivity is proportional to the num-

     ber of open vessels (i.e., vessels continuous

     through the remaining segment). This assumes

     all vessels have equal lumen diameters.

     While using the latex paint method, we found

     that a surprising number of the vessels (often

     50% or more) were not paint-filled even at the

     plane (xo) where the paint was supplied. We

     were concerned whether there was a sampling

     bias for wide or narrow vessels with this tech-

     nique since vessel length distributions were

     necessarily determined from paint-filled ves-

     sels only. Therefore, in addition to compari-

     sons of the paint and air methods, we made

     comparisons between the diameter distribu-

     tions of paint-filled vessels and of the total

     vessel population.

     MATERIALS AND METHODS-Plant materi-

     al-The tree Bauhinia purpurea L., the shrubs

     B. aculeata L. and B. galpinii N.E. Br., and the

     lianas B. fassoglensis Kotschy ex Schweinf.,

     Hippocratea volubilis L., Passiflora coccinea

     Aubl., Pithecoctenium crucigerum (L.) A. Gen-

     try [= P. echinatum (Aubl.) Schum.], Saritaea

     magnifica Dug., and Stigmaphyllon ellipticum

     (HBK) Juss., all growing outdoors at the Fair-

     child Tropical Garden in Miami, Florida, were

     examined in the summers of 1985 and 1986,

     and in the spring of 1988. The stem xylem

     diameters, which are shown in the tables and

     figure legends, were recorded either at the

     transverse plane where the diameter measure-

     ments were made, or, in the case of vessel

     lengths, at the median portion of the longest

     vessels (the plane halfway between xo and xe).

     Paint infusion method- For each species the

     longest unbranched stem segments available

     were selected for study. As was determined a

     posteriori, these segments were longer than the

     longest vessels. Stems were defoliated with

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     May 19891 EWERS AND FISHER-MEASURING VESSELS IN WOODY PLANTS 647

     shears before they were cut off from the plant

     and the cut proximal end immediately recut

     under water and the proximal end kept sub-

     merged until we began the latex infusion pro-

     cess. Within 2 hr the proximal end (xo) was

     trimmed with a fresh razor blade and tightly

     fitted with clear vinyl tubing to allow for brief

     vacuum infiltration with water (5 min at -87

     kPa) to remove embolisms that may have been

     introduced during handling. A dilute latex so-

     lution was then fed into the stem.

     The green latex paint initially contained a

     wide size range of irregularly shaped pigmented

     particles. A 100:1 water: latex paint dilution

     was filtered through Whatman no. 1 filter pa-

     per. This removed all particles greater than 5

     ,um in diameter. Filtering with a millipore filter

     demonstrated that all pigmented particles were

     greater than 0.2 ,m and were thus too large to

     pass through pit membranes.

     The latex emulsion was gravity fed into the

     proximal end of the stem segment from a 2.5

     m column. The distal end of the stem segment

     was subjected to a -87 kPa vacuum. The so-

     lution was allowed to pass through the stem

     until flow completely stopped, which took up

     to 8 days in some cases.

     We cut the stems into n segments of uniform

     length x, and stored the segments in a vertical

     position with the surface on which vessel counts

     would be made facing down on a glass surface.

     Within the next 24 hr the stem surfaces (xo to

     xJ were shaved smooth with a fresh razor blade,

     removing 1 to 2 mm from the surface, and

     number of paint-containing vessels counted.

     This gave the raw vessel count. Shaving of the

     transverse stem surfaces is necessary to remove

     surface paint and thus provide a clean and

     sharp image. Vessels were counted as paint-

     filled even if they were only partially filled

     with the latex paint.

     Air method-Stems were collected as with

     the paint method except that since air was to

     be forced through the stems, no special care

     was taken to avoid embolisms. Stems were not

     cut under water nor were the proximal ends

     kept submerged, and vacuum infiltration was

     not used. Vinyl tubing was fitted and clamped

     to the smoothly shaved basal end (xo) of a

     freshly cut stem, and about 60 kPa of air pres-

     sure applied, as measured with a mercury col-

     umn. The distal end of the stem was dipped

     into water and trimmed back until air bubbles

     could first be seen to emerge. The distal end

     was then shaved smooth with a fresh razor

     blade, the air was collected in a graduated cyl-

     inder, and the rates of air flow were calculated.

     As described by Zimmermann and Jeje (198 1),

     in order to calculate the end effect (Pe) and to

     calculate flow (F) at a standardized pressure,

     P, the air flow rates were measured three times

     at each of two different air pressures. Distal

     stem segments of length x were then succes-

     sively trimmed off of the experimental stem,

     the new end was shaved smooth with a fresh

     razor blade, and the flow rates were again mea-

     sured at two pressures. For each stem length

     x., the applied pressure (P) and flow rate (F)

     data were fitted with linear regression lines to

     obtain the slopes and intercepts. At any arbi-

     trarily chosen pressure level, P,

     V = Fx,(P - Pe) Eq. 2

     where V is a value proportional to the number

     of open vessels, F is the calculated flow rate at

     P, xn is stem length, and Pe is the y intercept

     from the regression equation (i.e., the predicted

     flow at P = 0).

     After the air flow measurements were made

     at the shortest stem length (xl), the remaining

     stem segment was vacuum infiltrated with water

     for at least 5 min at -87 kPa in order to remove

     air emboli. The segment was then perfused

     with latex paint at the xo surface until flow

     stopped after several days. After shaving the

     transverse surfaces, paint-filled vessels were

     counted at the distal and proximal surfaces of

     the segment to obtain the raw vessel counts at

     stem lengths xl and xo, respectively. The raw

     vessel count at x1, as determined from paint

     infusion, gave the number of open vessels in

     the segment. The ratio of this raw vessel count

     to the V values, as determined by air flow, gave

     the conversion factor. For the remaining stem

     lengths (x2 to xn), in which only air flow was

     measured, this factor was used to convert V

     values into raw vessel counts.

     Calculations of vessel length distribution-

     The raw vessel count, as determined both from

     the air and the paint infusion methods, rep-

     resents the number of vessels continuous from

     xo. The first difference represents the number

     of vessel ends between the distances where the

     raw counts were made (Table 1). For vessels

     of a particular length class, assuming random

     distribution of vessels in the stem, the first

     difference will increase linearly towards the zero

     point. The second difference represents the rate

     of linear increase for vessels of this length class.

     The second difference multiplied by the num-

     ber of increments (steps to zero) gives the num-

     ber of vessels in that length class. This number

     can then be expressed as a percent of the paint-

     filled vessels at the zero point. If no mistakes

     have been made in calculation, the sum of the

     calculated numbers of vessels in each size class

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     648 AMERCANJOURNAL OF BOTANY Vo. 76

     TABLE 1. Example of calculation of vessel length distribution. From a Pithecoctinium crucigerum stem with a xylem

     diameter of 2.5 mm

     Rawvessel First Second Steps No of Corrected Lengthclass Percent in

     Distance in10-2 mcount difference difference to zero vessels vessel no in10-2 mlengthclass

     160 x8 = Xn 0 0 0 0 0 0 160-180 0

     140 x7 11188067140-16007

     120X 21070067120-14007

     100X 20- 16-6067100-12007

     0X 20050080-1000

     0X 31144460-8041

     40X 85 43121240-60124

     20 x) 4234292585820-40598

     0 x0 9755 21121210-20216

     should equal the raw vessel count at the zero

     point.

     Negative values in the first difference were

     rare, but when they were discovered were at-

     tributed to errors in counting (paint-filled ves-

     sels were then recounted) or to the presence of

     branched vessels. As discussed by Zimmer-

     mann and Jeje (1981), negative values in the

     second difference (which are common) can be

     attributed to nonrandom distribution of ves-

     sels in the stem segment. These negative num-

     bers were almost always confined to the longer

     size classes and appear to be an artifact of the

     small sample size in the longer classes.

     Negative numbers in the No. of vessels

    column (Table 1) were removed by grouping

     categories to arrive at positive values under

      Corrected vessel no. To do this, negative

     numbers were averaged with adjacent positive

     number(s) in the same column. When a choice

     had to be made between averaging with a length

     class above or below the length class with the

     negative number, the adjacent length class with

     the greater positive vessel number was used.

     In the example shown in Table 1, -6 was

     grouped with 0 and 8 in the No. of vessels

    column to obtain an average value of 0.67 for

     the Corrected vessel no. in Length classes

    100-120, 120-140, and 140-160.

     Paint vs. air methods-Matched pairs of

     stems from six species of plants were selected

     in order to make comparisons between the paint

     and air methods. For each species two stems

     were selected that were very similar in size,

     external morphology, and position on the plant.

     The paint method was applied to one stem of

     the pair, and the air method to the other.

     Vessel diameters: camera lucida -Following

     latex paint infusion for vessel length deter-

     minations, at xo in stems of Pithecoctenium

     crucigerum, Saritaea magnifica, and Hippo-

     cratea volubilis, the inner (vessel lumen) di-

     ameters of all the paint-filled vessels were mea-

     sured from drawings of the vessels made with

     a camera-lucida device attached to a stereo-

     microscope. The camera-lucida technique was

     used in this case, since it was difficult to clearly

     photograph all the paint-filled vessels in a

     transverse section, and since direct ocular mi-

     crometer measurements of all the paint-filled

     vessels in a woody stem are almost impossible

     without missing some vessels and/or measur-

     ing some vessels more than once.

     Vessel diameters: sections-To determine the

     diameter frequency distribution for all the ves-

     sels (paint-filled plus those without paint) in a

     transverse view, stems were sectioned with a

     sliding microtome at 30 ,um and stained with

     safranin and fast green. The sectioning tech-

     nique was used since the narrowest vessels (ar-

     rows in Fig. 1-3), were difficult to detect with

     a stereomicroscope in surface view. A Nikon

     photostereomicroscope with transmitted light

     capabilities was used to prepare Kodachrome

     slides of the stem sections. The slides were

     projected onto large sheets of white paper upon

     which each vessel was marked off as its lumen

     diameter was measured with a ruler. This

     method allowed us to quickly measure every

     vessel member without counting a member

     twice. When a vessel lumen was not circular

     in transverse view, the minimum and maxi-

     mum diameters were recorded. We measured

     the distortion of projected stage micrometer

     images throughout the image plane and found

     the maximum distortion due to spherical ab-

     erration of the projection lens was less than

     1 .

     In the smaller stems we measured every ves-

     sel seen in a transverse section. In stems with

     more than a thousand vessels in transverse

     view, we measured all the vessels in 4 to 6

     evenly-spaced sectors. Each sector had vas-

     cular rays for marginal boundaries and the pith

     and the vascular cambium as its inner and

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     May 1989] EWERS AND FISHER-MEASURING VESSELS IN WOODY PLANTS 649

     Fig. 1-3. Transverse sections of stems. 1. Pithecoctenium crucigerum. 2. Saritaea magnifica. 3. Hippocratea volubilis.

     Arrows show some of the narrowest vessels. All at same magnification, scale bar = 500 ,um.

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     650 AMERICANJOURNAL OF BOTANY[Vol. 76

     80 PITHECOCTENIUM

     60

     H 40

     w

     0

     c c

     w

     a.

     20

     0

     80 160 240 320 400

     40 - SARITAEA

     H

     w 20

     0

     c c

     w

     a.~~~~~~~~~~~~~~~~~~~

     20 40 60 80 100120

     H20 HIPPOCRATEA

     z I

     L l

     20 l

     01

     40 80 120 160 200240 280

     DIAMETER (pjm)

     Fig. 4. Frequency distribution of vessel diameter classes

     as determined from the sectioning and maceration tech-

     niques. Solid line = sectioning, broken line = maceration.

     From the stems shown in Fig. 1-3. See summary in Table 2.

     outer boundary. Several hundred vessel lumen

     diameters were measured in each stem with

     this technique.

     Vessel diameters: macerations-One worker

     measured lumen diameters from projected im-

     ages (see above) and another measured lumen

     diameters with the maceration technique. To

     avoid possible measuring bias, we did not show

     the results to one another until all the raw data

     were collected. Tissue from a 10 mm length of

     iz2O PITHECOCTENIUM

     *of

     ffi 80 160 240 320 400

     SARITAEA

     ~20L

     z

     w 0

     W I I ,1

     20 40 60 80 100 120

     40 HIPPOCRATEA

     20

     z

     w

     0

     w

     0

     40 80 120 160 200240 280

     DIAMETER (pEm)

     Fig. 5. Percent total theoretical hydraulic conductance

     per unit stem length (Kb predicted) as a function of the

     vessel diameter class. From same transverse stem sections

     as in Fig. 4.

     stem adjacent to the sectioned region was ma-

     cerated as follows: all tissues outside the cam-

     bium were removed, and the remaining pith,

     primary xylem, and secondary xylem were cut

     into longitudinal slivers. The material was

     treated with Jeifreys's solution (10% chromic

     acid + 10% nitric acid) for 2-3 days at room

     temperature until it was soft to the touch. The

     tissue was washed in water and stained with

     aqueous safranin in tubes which were centri-

     fuged between solution changes. Cells were sus-

     pended in a solution of glycerine jelly, dropped

     onto warm slides, and covered with square

     cover glasses. Vessel members, as defined by

     the possession of at least one perforation plate,

     were sampled randomly by including all vessel

     members that were visible in the field of view

     with a x 10 objective lens. The mechanical slide

     stage was moved in a straight line starting from

     a random point on the edge of the cover glass.

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     My 1989] EWERS AND FISHER-MEASURING VESSELS INWOODYPLANTS 651

     TABLE 2. Vessel diameters (,um) in three species of lianas

     (woody vines). Two methods were used on a single stem

     segment of each species. The diameter distributions

     are in Fig. 4

     Methods

     Vessel diameter Mcera-

     Species (xylem diameter) parameter Sectioning tion

     Pithcoctenium crucigerum minimum 6 9

     6mm x4766

     median18 26

     maximum 335 360

     N762 200

     Saritaea magnifica (7 mm) minimum 8 9

     x3724

     mdian 24 30

     maximum 126 128

     N1,206 200

     Hippocratea volubilis minimum 12 16

     7mm x90 127

     median94 130

     maximum 196 286

     N506 200

     Horizontal and vertical edges were used on

     alternate slides. Vessel member length and lu-

     men diameter were measured directly with an

     ocular micrometer with a 20 and x 40 objec-

     tive, respectively. Lumen diameter was mea-

     sured at the median portion of each vessel

     member. A total of 200 vessel members was

     sampled for each stem.

     Kh predicted-This was determined in sec-

     tioned material from Equation 1 with the fol-

     lowing modifications for vessel lumens that

     were elliptic rather than circular in transverse

     outline. First, d was calculated as the diameter

     that a circle of equal transverse area would

     have, d = ab, where a and b are the diameters

     of the major and minor axes. For each vessel,

     the Kh predicted was then multiplied by the

     following factor (Calkin, Gibson, and Nobel,

     1986) to correct for the effect of noncircularity

     on water flow:

     2ab

     Eq. 3

     However, for graphic representation (e.g.,

     Fig. 4, 5) vessel diameter refers simply to the

     average diameter (0.5[a + b]) of each elliptic

     vessel.

     Statistical tests -These were carried out us-

     ing the computer program package BIOSTAT

     I (Pimentel and Smith, 1986). Significant x2

     values were taken from Steel and Torrie (1 9 80).

     RESULTS-The pattern of vessel diameter

     frequency distributions appeared to be similar

     for the maceration and sectioning techniques

     (Fig. 4), but the distributions were statistically

     different from one another based upon the x2,

     D, and G tests of goodness-of-fit at the 0.95

     level. In all three species the minimum, mean,

     median, and maximum vessel diameters were

     smaller with the sectioning technique than with

     the maceration method (Table 2).

     The narrower vessels in stems, although quite

     numerous (Fig. 4), contributed an insignificant

     amount to the Kh predicted for each stem (Fig.

     5). For instance, in Pithecoctenium crucigerum,

     68.5% of the vessels were less than 35 gm in

     diameter (Fig. 4), but these contributed only

     0.07% of the total Kh predicted (Fig. 5).

     The frequency distribution of vessel lengths

     using both the air and paint methods produced

     similar, highly skewed, nonnormal distribu-

     tions with a high frequency of short vessels

     (Fig. 6, 7). The air and paint methods produced

     statistically significant different distributions

     as determined by x2, D, and G statistics (at the

     0.95 level). However, there was no consistent

     pattern of difference in vessel length measure-

     ments between the two methods in the six

     species where this was examined (Fig. 6, Table

     3). The paint method showed a higher fre-

     quency of short vessel classes than did the air

     method in Passiflora coccinea, Bauhinia fas-

     TABLE 3. Summary of vessel lengths (10-2 m) for paired stems of each species by the paint and air methods. Frequency

     distributions shown in Fig. 6

     XymArPn

     diameter

     Speces (mm xMdian MxNxMdian MxN

     Bauhnia aculeata 6 3 2.5 34 642 5 2.5 47 780

     Bauhinia fassoglensis 3 27 10 65 100 11 5 65 98

     Bauhnia galpnii 4 7 5 44 297 9 5 55 414

     Bauhnia purpurea 7 17 10 48 425 8 5 65 330

     Passiflora coccnia 1 16 5 52 641 16 5 52 168

     Stigmaphyllonelipticum4 27 12 87 89 43 37 162 50

     Means ? SE 14 ? 6 10 ? 5 73 ? 18 16 ? 4 7 ? 2 55 ? 8

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    9/13

     652 AMERCANJOURNAL OF BOTANY [Vo. 76

     PASSIFLORA B. ACULEATA

     80 4

     80

     z 60

     w Z~~~~~~~~~~~~~~ 60

     cr4 4

    w

     150w40

     20

     0~~~~~~~~2

     0 20 4060 80 2040 60 00 20 40642008

     STIGTH(102m)PYLONGH L H20 30 102 20 0 04050

     80 SGAY O80 B GALPINI

     60 60

    zz

    ww

     ww

    ~204- 204

     

    50 100 150 50 100 150o 20 410 60 20 40 60

     B. FASSOGLENSIS B. PURPUREA

     88

    w 60- 60-

     

    0.

     2 0 2, 4

     0 1 1 t I ~ ~~~~04 ,

     20406080 20 40608 2000 2040608

     LEGH(10j m) LENGTH (102 m) LENGTH (102 m) LENGTH (10-2m

     Fig. 6. Frequency distributions of vessel length for paired stems of 6 species by air method (light bars) and paint

     method (dark bars). Arrow = longest vessel. See summary in Table 3.

     soglensis, and B. purpurea. However, this sit-

     uation was reversed in Stigmaphyllon ellipti-

     cum, B. aculeata, and B. galpinii. Maximum

     vessel lengths were the same for both methods

     in B. fassoglensis, slightly longer with air in

     Passiflora, and longer with paint in the re-

     maining species (Table 3).

     In the latex paint infusion technique the

     heartwood vessels of large stems were not paint-

     filled even at xo. In addition, often more than

     50% ofthe sapwood vessels were without paint.

     Some of these had gums, tyloses, or other ob-

     vious obstructions, but most did not. Figure 8

     shows that the diameter frequency distribu-

     tions for paint-filled vessels were much closer

     to a normal distribution than were the total

     vessel distributions (paint-filled plus those

     without paint). Total vessel distributions tend-

     ed to be highly skewed with many more narrow

     than wide vessels (Fig. 4, 8).

     The maceration technique revealed that 9 of

     the 200 sampled vessel members of both Sar-

     itaea magnifica and Pithecoctenium cruciger-

     um were 4vessel ends as indicated by the pos-

     session of only one perforation plate. These

     vessel ends were much more common for nar-

     row elements than wide elements. For S. mag-

     nifica, while 15% of the vessel members were

     < 18 ,tm in diameter, this diameter class con-

     tained 55% of the vessel ends. Similarly, this

     narrowest diameter class in P. crucigerum con-

     tained 19% of the total vessel members but

     78% of the vessel ends. Based upon the fre-

     quency of vessel ends, Fisher (1970) used the

     following equation to calculate mean vessel

     length: 2 + [No. vessel members with 2 per-

     forations/0.5(No. vessel ends)]. Using this

     equation and assuming that vessels do not vary

     in diameter class along their length, for S. mag-

     nifica and P. crucigerum, mean vessel lengths

     for the narrowest diameter class would be 14

     vessel members and 13 vessel members, re-

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    10/13

     May 1989] EWERS AND FISHER-MEASURING VESSELS IN WOODY PLANTS 653

     PITHECOCTENIUM

     H 40

     z

     0 20 \

     40 80 120 160200

     SARITAEA

     40 -

     z

     20

     w

     00

     5 10 15 20 25

     HIPPOCRATEA

     80

     660

     z

     40

     20

     80 160 240 320

      2

     LENGTH (10 m)

     Fig. 7. Vessel length frequency distributions based upon

     the paint method in a stem of Pithecoctenium crucigerum,

     Saritaea magnifica, and Hippocratea volubilis. Vessel di-

     ameters for these same stems shown in Fig. 8. In both Fig.

     7 and 8, N = 76 (P. crucigerum), 212 (S. magnifica), and

     279 (H. volubilis).

     spectively. With mean vessel member lengths

     (perforation to perforation) of 221 (SE = 13)

     and 187 (SE = 14) ,m, respectively, the mean

     total vessel lengths would be 3.1 and 2.4 mm,

     respectively, for the narrowest diameter class

     of these species. For the wider diameter classes

     vessel ends were too infrequent and our sam-

     pling too limited to allow for meaningful cal-

     culations of vessel lengths by this method. For

     Hippocratea volubilis, there were no vessel ends

     among the 200 vessel members sampled.

     DISCUSSION-There are limitations to the

     data derived from the maceration as well as

     PITHECOCTENIUM

     40

     z

     w

     20

    ix 20 r--

     I ~~~~~~~r--I

     0

     20 40 60 80 100120

     40 SARITAEA

     H

     20

     o

    a.

      0

    20 40 60 80 100120140

     HIPPOCRATEA

     ,, 15

     0.~~~~~~~~~~~~.

     60 120 180 240

     DIAMETER (jim)

     Fig. 8. Diameter frequency distributions for paint-filled

     vessels (broken line) and the total vessel population (solid

     line). Total vessel population diameters were determined

     by the sectioning technique. Results were from a different

     set of stems than in Fig. 1-4. Stem xylem diameters and

     N (for total vessels): Pithecoctenium crucigerum 2.5 mm

     (420), Saritaea magnifica 6 mm (815), and Hippocratea

     volubilis 6 mm (278). For N of paint-filled vessels see Fig. 7.

     sectioning methods of determining vessel di-

     ameters. There appears to be a shift in the

     distribution pattern to wider vessel measure-

     ments with the maceration method (Fig. 4;

     Table 2).

     We expect that the maceration technique is

     subject to bias towards larger diameter mea-

     surements for three or more reasons: 1) Crush-

     ing of large cells by the cover slip would lead

     to greater diameter measurements, especially

     maximum diameters, in the maceration but

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    11/13

     654 AMERCANJOURNAL OF BOTANY [Vo. 76

     not in the transverse sectioning method. Of

     vessel members wider than 100 ,um, about 12%

     in Pithecoctenium crucigerum and 4% in Sar-

     itaea magnijica were torn or obviously dam-

     aged during processing and could not be mea-

     sured. Fewer narrow vessel members showed

     any damage. Many of the measurements may

     have been on vessels that were partially crushed,

     but lacking in obvious rips or distortions. 2)

     The maceration technique does not involve

     representative sampling of vessel diameter

     along the length of a vessel. Instead, the vessel

     member is measured only at the midpoint of

     each vessel member. In contrast, the sectioning

     technique serves to randomly sample along the

     length of vessel members and thus includes

     tapered ends, which would account for smaller

     minimum diameters. 3) In the maceration

     technique only one diameter can be measured

     in each cell, since the macerated cells are always

     oriented with their longitudinal axis more or

     less parallel to the plane of the slide. In section

     the minimum and maximum diameters of cells

     that are non-circular in transverse outline can

     be measured.

     The sectioning technique is clearly superior

     to the maceration method for calculations of

     Kh predicted. Aside from the above consider-

     ations, the maceration technique, by itself, gives

     no idea of the absolute number of vessels of

     each diameter that would occur in transverse

     view. In addition, corrections for vessels that

     are noncircular in transverse outline can only

     be made from sections. Another advantage of

     the sectioning technique is that it can be used

     in conjunction with dyes that marked the con-

     ductive pathway. Maceration washes out these

     dyes. Lastly, the biggest potential problem with

     the sectioning technique, that some of the nar-

     row vessels may be excluded from consider-

     ation (which does not seem significant for the

     three species we examined-Fig. 4), has vir-

     tually no effect on the Kh predicted of a stem.

     Due to the fourth power relationship to vessel

     lumen diameter (Eq. 1), the narrowest vessels,

     although often numerous (Fig. 4), contribute

     very little to the total Kh predicted (Fig. 5).

     A problem for comparative wood anato-

     mists is that when diameter distributions are

     not normally distributed, as is often the case

     (Fig. 4, 8), mean values are misleading. In ad-

     dition, as mentioned recently by Gasson (1987),

     the common practice in comparative wood

     studies of giving mean vessel diameters of the

      larger vessels lacks objectivity. The ideal ap-

     proach for both comparative and physiological

     wood anatomical studies would be to incor-

     porate entire vessel diameter distributions into

     the analyses. In comparative studies, care must

     be taken not to overlook the narrowest vessels

     (Fig. 1-3) which could be confused with tra-

     cheids.

     A justification for both the paint infusion

     and air methods of determining vessel lengths

     is that they lead to roughly similar results, with

     many short vessels and few long ones (Fig. 6;

     Zimmermann and Jeje, 1981). Although vessel

     length distributions in the matched pairs of

     stems were significantly different from one

     another, there was no consistent direction to

     the differences (Table 3). Given that there is

     much variation in vessel length within these

     species (Ewers and Fisher, unpublished), the

     differences in results shown in Fig. 6 may reflect

     actual differences in vessel length between stems

     rather than differences due to the techniques.

     Dr. John Sperry (personal communication)

     has argued that in Equation 1, Pe should not

     be included in calculating V, since, in his opin-

     ion, Pe is not a true end effect but instead rep-

     resents the pressure required to prevent me-

     niscus formation in the air-conducting vessels.

     However, exclusion of Pe makes little differ-

     ence in the final results.

     Although the air method is much faster than

     the paint method for determining maximum

     vessel lengths, determination of vessel length

     frequency distribution is similarly labor inten-

     sive by both methods. Neither method can be

     used to determine the absolute minimum ves-

     sel length, which may be equal to the length

     of two vessel members.

     Both the paint and air methods appear to be

     biased towards excluding lengths of the nar-

     rower vessels. The air method makes the ob-

     viously incorrect assumption that vessels are

     all the same diameter. One might expect the

     air method to reflect results mostly for the wid-

     est vessels, since these have the greatest air

     conductivity. However, this bias is tempered

     somewhat by the fact that the air method de-

     pends upon latex paint infusion for raw vessel

     counts at x0 and xl. The counts at x0 and xl

     are particularly critical since they greatly in-

     fluence the shape of the entire vessel length

     distribution.

     With the paint method the nonfilling of many

     vessels at the infusion port (x0) may have been

     due to either naturally occurring or to exper-

     imentally induced embolism. Some of the ves-

     sels without paint had obvious tyloses and/or

     gums. However, this would not normally ex-

     plain why the narrow vessels in particular tend-

     ed to lack paint at x0 (Fig. 8).

     There are at least three possible reasons for

     the observed scarcity of narrow paint-filled

     vessels: 1) In the case of Hippocratea volubilis,

     the narrower vessels are most abundant in the

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    12/13

     May 1989] EWERS AND FISHER-MEASURING VESSELS IN WOODY PLANTS 655

     inner xylem (Fig. 3), which is the first xylem

     to become heartwood. 2) Wound response of

     living xylem parenchyma cells at the cut sur-

     face may cause a coagulation of latex particles

     and clog the narrowest vessels. 3) In the case

     of Pithecoctenium crucigerum and Saritaea

     magnifica, many of the narrow vessels may

     have been paint-filled, but the routine trim-

     ming of 1 to 2 mm of tissue from the xylem

     surface at xo for surface observation of the ves-

     sels may exclude them from consideration. The

     narrowest vessels in these species were ap-

     proximately 2.4 and 3.1 mm long based upon

     our data from macerated tissue. Assuming ran-

     dom vessel distribution within the stem, trim-

     ming away 1.5 mm of tissue would exclude

     50% or more of the narrowest paint-filled ves-

     sels. Unfortunately, this trimming and result-

     ing artifact cannot be avoided.

     The vessel length frequency distributions

     (Fig. 7) were more skewed than the diameter

     distributions of the same paint-filled vessels

     (Fig. 8). Since many of the shortest and nar-

     rowest vessels appear to have been excluded

     by the paint and air methods, the actual vessel

     length distribution patterns, which would in-

     clude vessels of all diameters, may be even

     more skewed than indicated in Fig. 6, 7.

     Scholander (1958) calculated mean vessel

     lengths in the lianas (woody vines) Vitis la-

     brusca and Tetracera based upon measure-

     ments of the water volume released by verti-

     cally held fresh stem segments which were

     trimmed back at measured intervals. This

     technique gives no indication of maximum and

     minimum vessel length and is probably even

     more biased against incorporating information

     on the narrow vessels than are the paint and

     air methods. The wider vessels obviously would

     contain much greater volumes of water to be

     released upon cutting than would the narrow

     ones. The narrow vessels also tend to hold on

     to their diminutive water volume due to cap-

     illarity, which is probably why this technique

     does not work at all for most species.

     Fisher (1970) used the maceration technique

     to estimate mean vessel length in the monocot

     Cyperus alternifolius. This technique is most

     appropriate for plants, such as Cyperus, with

     readily distinguishable vessel types (early and

     late metaxylem) and with extremely short ves-

     sels (about 12 and 1.7 mm, respectively). Ves-

     sels greater than 1 m long, such as occurred in

     some of the stems we examined (Fig. 6, 7),

     could have more than 1,000 vessel members

     per vessel, meaning that many thousands of

     macerated vessel members would have to be

     sampled to accurately determine mean vessel

     length.

     Drs. P. B. Tomlinson and A. M. Lewis (per-

     sonal communication) are presently attempt-

     ing to use cinematographic analysis to measure

     vessel lengths in Vitis labrusca. This method,

     which requires using a movie camera to pho-

     tograph serial microscopic sections (Zimmer-

     mann and Tomlinson, 1966; Zimmermann,

     1971), may be quite accurate but is too labo-

     rious to be practical in studies of many stems

     with long vessels.

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