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Plant Physiol, May 2000, Vol. 123, pp. 201-214
Internal Conductance to CO2 Diffusion and
C18OO Discrimination in C3 Leaves1
Jim S.
Gillon and
Dan
Yakir*
Department of Environmental Science and Energy Research, Weizmann
Institute of Science, 76100 Rehovot, Israel
 |
ABSTRACT |
18O discrimination in CO2 stems from the
oxygen exchange between 18O-enriched water and
CO2 in the chloroplast, a process catalyzed by carbonic
anhydrase (CA). A proportion of this 18O-labeled
CO2 escapes back to the atmosphere, resulting in an effective discrimination against C18OO during
photosynthesis ( 18O). By constraining the
18O of chloroplast water ( e) by analysis
of transpired water and the extent of CO2-H2O
isotopic equilibrium ( eq) by measurements of CA activity
( eq = 0.75-1.0 for tobacco,
soybean, and oak), we could apply measured
18O in a leaf cuvette attached to a mass spectrometer to
derive the CO2 concentration at the physical limit of CA
activity, i.e. the chloroplast surface
(ccs). From the CO2 drawdown
sequence between stomatal cavities from gas exchange
(ci), from 18O
(ccs), and at Rubisco sites from
13C (cc), the internal
CO2 conductance (gi) was
partitioned into cell wall (gw) and
chloroplast (gch) components. The results
indicated that gch is variable
(0.42-1.13 mol m 2 s 1) and proportional to
CA activity. We suggest that the influence of CA activity on the
CO2 assimilation rate should be important mainly in plants
with low internal conductances.
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INTRODUCTION |
Natural variation in
18O content ( 18O) of
CO2 is a useful tracer for photosynthetic
activity. This is due to a sequence of events: first,
18O of chloroplast water is high due to
evaporative effects (Gonfiantini et al., 1965 ); second, in the
chloroplasts, exchange of oxygen between CO2 and
H2O is catalyzed by carbonic anhydrase (CA); and third, a large fraction of this 18O-labeled
CO2 diffuses from the chloroplast back to the
atmosphere. On a leaf scale, this "retroflux" of
18O-enriched CO2 from the
leaf back to the atmosphere is observed as an enrichment in the
C18OO in air passing over the leaf or as
discrimination against C18OO by the leaf
( 18O) (Farquhar and Lloyd, 1993 ). Notably,
18O is also observed on a global scale as
latitudinal and seasonal changes in the
18O of atmospheric CO2.
The quantitative use of such large-scale signals, however, still
critically depends on better understanding of the basic processes
influencing 18O (Francey and Tans, 1987 ;
Farquhar et al., 1993 ; Ciais et al., 1997 ).
To interpret 18O measured during
leaf-atmosphere CO2 exchange, an estimate of
CO2 concentration at the site of
CO2-H2O is required (Farquhar and Lloyd, 1993 ). The chloroplast CO2
concentration (cc) may be derived from
comparing measured and modeled discrimination against
13CO2
( 13C) (Farquhar et al., 1982 ; Evans et al.,
1986 ; von Caemmerer and Evans, 1991 ). Since both the photosynthetic
enzyme Rubisco (responsible for 13C
discrimination) and CA (responsible for 18O)
are similarly distributed within the chloroplast stroma (Anderson et
al., 1996 ), the 13C-derived value of
cc was also applied to
18O (Farquhar et al., 1993 ; Flanagan et al.,
1994 ). However, it was suggested (Yakir, 1998 ) that the
CO2 concentration pertaining to
18O may be associated with the chloroplast
surface, i.e. the limit of CA activity, and not the mean
CO2 concentration at sites of CO2 fixation by Rubisco. This is because CA acts
to cancel out any gradients in 18O of
CO2 within its domain. We now suggest that with
adequate estimates of chloroplast water 18O
and of the extent of
CO2-H2O isotopic
equilibrium in the chloroplast (i.e. CA activity), it should be
possible to use 18O to accurately estimate the
effective CO2 concentration at the sites of
CO2-H2O equilibrium. This
approach is somewhat similar to that using observed and predicted
13C to compare
ci and
cc (von Caemmerer and Evans, 1991 ).
Using 13C-derived estimates of
cc, the internal leaf conductance to
CO2 (gi) and its
influence on leaf photosynthesis have been well characterized (von
Caemmerer and Evans, 1991 ; Lloyd et al., 1992 ; Loreto et al., 1992 ;
Syvertsen et al., 1995 ). However, evaluating the relative
importance of the major components of
gi, the wall conductance
(gw) and the chloroplast conductance
(gch) has been restricted (Cowan,
1986 ; Evans et al., 1994 ). The association of
18O with CO2
concentration at the chloroplast surface should enable this
partitioning. Information on CA activity directly from assays or
through 18O measurements should also provide
insight into the role of CA in facilitating diffusion within the
chloroplast (Cowan, 1986 ; Makino et al., 1992 ; Price et al., 1994 ;
Williams et al., 1996 ).
By comparing the CO2 concentration and isotopic
composition of air entering and leaving a leaf chamber, dis-crimination
against C18OO ( 18O) may
be measured "on-line" in a method equivalent to
13C (Evans et al., 1986 ):
|
(1)
|
where = cin/(cin-co),
cin,
co, and in,
o referring to the CO2
concentration (corrected to the same humidity) and isotopic composition
of air entering and leaving the cuvette, respectively. 18O can also be predicted (Farquhar and Lloyd,
1993 ) as
|
(2)
|
where ea = 1,000·[( e/1,000
+1)/( a/1,000 + 1) 1]; = cc/(ca cc); a and
e represent the 18O
of CO2 in the overlying air and in full isotopic
equilibrium with water in the chloroplast, respectively, and
ca and
cc the respective
CO2 concentrations (see Fig.
1); is the
weighted-mean diffusional fractionation through the boundary layer,
5.8 , stomata, 8.8 , and aqueous leaf media, 0.8 , (Farquhar and
Lloyd, 1993 ). Despite general agreement between modeled and measured
18O (Farquhar et al., 1993 ; Flanagan et al.,
1994 ; Williams et al., 1996 ), large quantitative discrepancies often
occur (Yakir et al., 1994 ; Williams et al., 1996 ; Harwood et al., 1998 ;
Wang et al., 1998 ). There are three main assumptions in Equation 2: (a) chloroplast water (and hence CO2 in equilibrium
with this water) is assumed to be isotopically similar to water at the
evaporating sites ( e); (b)
CO2 and H2O in the
chloroplast reach full isotopic equilibrium; and (c)
cc correctly represents the
CO2 concentration at the site of oxygen exchange.

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Figure 1.
Diagram showing the 18O content in
fluxes of CO2 (Fout) and
H2O (E) from leaf to atmosphere.
H2O enters the leaf with isotopic composition
s, evaporates from the cell surfaces, and diffuses from
the leaf, experiencing both phase-change ( *) and diffusional
( k) fractionation, giving rise to depleted transpiring
water ( t) and enriched evaporating surfaces
( e). Similarly, CO2 from the atmosphere
(Fin) dissolves in the chloroplast,
equilibrates ( eq) to composition c
depending on the 18O of water in the chloroplast and the
extent of isotopic equilibrium ( eq), and then
approximately two-thirds retro-diffuses outward
(Fout) with fractionation during diffusion
( ). This can be observed as an 18O
enrichment in outgoing CO2 ( out) relative to
incoming CO2 ( in), which is proportional to
discrimination against C18OO, termed 18O.
CO2 reference points along the leaf-atmosphere pathway are
marked (with average values in µmol mol 1) as
cc, ccs,
ci, and ca,
referring to the CO2 concentration in the chloroplast,
chloroplast surface, substomatal cavity, and air, respectively.
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The isotopic composition of water at evaporating surfaces
( e) may be estimated from the Craig and Gordon
model of evaporative enrichment (Craig and Gordon, 1965 ):
|
(3)
|
where h* is the relative humidity at leaf
temperature; a and t
are the isotopic composition of water vapor in the air and transpired
by the leaf, respectively; k is the
combined diffusional fractionation through stomata and turbulent
boundary layer (Farquhar and Lloyd, 1993 ; Buhay et al., 1996 ); and
* is the temperature-dependent liquid-vapor
fractionation. The measurement of 18O of
transpired water vapor ( t) allows estimation
of e under non-steady-state conditions
(Harwood et al., 1998 ). While the proximity of chloroplasts to the
liquid-air interface in leaves implies good mixing between evaporating
sites and chloroplasts, isotopic gradients in leaf water can occur
(Yakir et al., 1989 , 1994 ; Luo and Sternberg, 1992 ; Wang and Yakir,
1995 ) and need to be considered.
Considering oxygen isotope exchange between
CO2-H2O, current estimates
have suggested isotopic exchange to be almost complete, approximately
95% (Farquhar and Lloyd, 1993 ; Flanagan et al., 1994 ; Williams et al.,
1996 ). However, given the potential uncertainties in
18O of water and CO2
concentration in the chloroplast when interpreting 18O, an independent method is still required
to test this assumption. Alternatively, the extent of isotopic
equilibrium ( eq) in the CO2-H2O system may be
derived from Mills and Urey (1940) as:
|
(4)
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which describes the fractional approach to full
equilibrium (where eq = 1) as a function of
the number of hydration reactions achieved per
CO2 molecule (k ). This
"coefficient of CO2 hydration" may be
calculated for a leaf by calculating the rate constant (k)
from biochemical measurements of CA activity and the residence time of
CO2 in the leaf ( ) from
photosynthetic flux measurements of CO2 (see
"Materials and Methods"). In this way, the extent of isotopic
equilibrium may be directly determined.
We sought to determine the CO2
concentration relevant to
CO2-H2O in leaves from
measurements of 18O by constraining both the
18O of exchangeable water and the extent of
isotopic equilibrium as above. The subsequent implications toward
internal CO2 conductance are discussed in the
context of CA activity and its role in facilitating diffusion of
CO2 within the chloroplast.
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RESULTS AND DISCUSSION |
Interpreting C18OO discrimination requires
information on 18O of water in the
chloroplasts, the extent of isotopic equilibrium between
CO2-H2O and the
CO2 concentration in the chloroplast. The
18O value of chloroplast water is often
derived from the Craig and Gordon model for evaporating water
( e in Eq. 3; Flanagan et al., 1994 ; Williams
et al., 1996 ; Yakir and Wang, 1996 ; Wang et al., 1998 ; Harwood et al.,
1998 ). This is due to the proximity of chloroplasts to the liquid-air
interfaces within leaves. This leaves two options in using Equation 2
and measurements of 18O: (a) to use
13C-derived estimates of
cc as the CO2
concentration relevant to the site of oxygen exchange in the
chloroplast and solve for the extent of isotopic equilibrium (e.g.
Flanagan et al., 1994 ); and (b) to independently measure the extent of
isotopic equilibrium and solve for cc.
We argue that cc does not refer to the
site of CO2-H2O equilibrium
and so took the latter approach to estimate its true value. Using
constrained estimates of e and direct assays of CA activity, we solved both 18O and
13C discrimination equations for
cc. We found the
18O-derived
cc to be always higher than
13C-derived values, and define the
CO2 concentration relevant to 18O as ccs
(for [CO2] at the chloroplast surface). We then
use ccs to partition the internal
conductance into its two major components. In the following sections we
show how the interpretations were constrained and discuss their implications.
Observed 18O
Consistent with previous observations and predictions, a clear
dependence of 18O on
cc/ca
was observed (Fig. 2; Farquhar et al.,
1993 ; Flanagan et al., 1994 ; Williams and Flanagan, 1996 ; Williams et
al., 1996 ). As expected, 18O was also larger
when measured using 18O-depleted source
CO2, which generated a larger isotopic difference between source and leaf CO2
( ca) (increasing the precision of measurement). No difference in the response was observed under different photorespiratory conditions in oak leaves (Fig. 2c). Low
pO2 did, however, induce higher
assimilation rates and lower ci and
cc (Table
I) due to reduced photorespiration.
Estimates of internal CO2 conductance
(gi) derived from
13C measurements were 0.50 (±0.12), 0.32 (±0.05), and 0.27 (±0.09) mol m 2
s 1 for tobacco, soy, and oak respectively,
which were used to calculate cc/ca.
Our gi estimates were in line with
previous estimates on similar herbaceous species (von Caemmerer and
Evans, 1991 ; Evans et al., 1994 ), although in the case of oak,
gi was higher than the range
previously quoted for oak species (0.15, Loreto et al., 1992 ;
0.08-0.22 mol m 2 s 1,
Roupsard et al., 1996 ; 0.07-0.08, Hanba et al., 1999 ).

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Figure 2.
Discrimination against C18OO
( 18O) as a function of chloroplast CO2
concentration (calculated from 13C) and expressed as
cc/ca for tobacco
(a), soy (b), and oak (c). In a and b, experiments were conducted under
depleted source CO2 ( 30 , white symbols) and ambient
CO2 (0 , black symbols). For oak, experiments were
conducted all in depleted CO2, but at 2% (squares), 21%
(circles), and 35% (triangles) oxygen.
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Table I.
Gas exchange (at max PPFD), CA activity, and
isotopic water data (average at all PPFDs) for tobacco, soy (n = 3 and
2), and oak (n = 3, at different O2%)
Units are: evaporation rate (Emax, mmol
m 2 s 1), stomatal CO2
conductance (gs(max), mmol CO2
m 2 s 1), CO2 assimilation
(Amax, µmol m 2
s 1), sub-stomatal CO2 concentration
(ci, µmol mol 1), leaf
temperature (Tmax, °C), carbonic anhydrase
CO2 hydration rate, under assay
(CAassay, at 2°C and 35 mM
[CO2], mean of three leaves), and in vivo conditions
(CAleaf, at ccs and
Tleaf, µmol CO2 m 2
s 1). For VPD (kPa) and isotopic data ( ), nos. are
averages (+SD) during the entire light response. Symbols as
in text.
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18O of Water at the Site of Oxygen Exchange
Estimates of evaporating surface water
( e) were based on direct measurements of
transpired water vapor ( t) applying the isotopic fractionation during evaporation (Eq. 3). The maintenance of
constant vapor pressure deficit (VPD) during the complete
photosynthetic photon flux density (PPFD) curve kept both
t and e constant throughout each experiment (Table I). Determining
e in this way from t
avoids uncertainties that arise in substituting source water
18O for t in Equation 3, as shown in Table I; although t is at steady state, the absolute value may differ from source water ( 4.5 ) by several per mill.
e is assumed to provide a close approximation
to 18O of water in the chloroplasts. The
proximity of chloroplasts to evaporating surfaces is sufficient to
ensure good isotopic mixing between the two. In particular, this
assumption would be safe when 18O heterogeneity
in the entire leaf water is small. As a precautionary measure, such
heterogeneity was evaluated by comparing e
with measured bulk leaf water ( LW) both at the
end of each light response experiment (Table I; Fig.
3, white symbols) and across a range of
evaporation rates in an independent test (Fig. 3, black symbols). On
average, bulk leaf water was lower than e by
2 (±1 in Fig. 3). This phenomenon has been observed extensively
(Wang et al., 1998 , and refs. therein) and has been partly explained by
the inclusion of unenriched vein water, estimated to represent 2% to
5% of total leaf water (Yakir et al., 1989 ; Flanagan et al., 1991 ),
and/or by a Peclet effect proposed by Farquhar and Lloyd (1993) .

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Figure 3.
The difference between e from the
Craig and Gordon equation and bulk leaf water ( LW) as a
function of evaporation rate (E) for soy (triangles),
tobacco (circles), maize (diamonds), and sorghum (squares). White
symbols are data from the last measurement of the light response study;
black symbols are additional points from the leaf water
heterogeneity test. The three marked points excluded from statistical
analysis are thought to represent non-steady-state
conditions.
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The difference between e and
LW increased with the evaporation rate (Fig.
3, excluding the three marked data points, from leaves thought not to
be at isotopic steady state), which is consistent with a Peclet effect
(Flanagan et al., 1991 ; Farqhuar and Lloyd, 1993 ). In this case, the
large advective flux of water through the leaf at higher evaporation
rates restricts back-mixing of 18O-enriched water
from the evaporation sites with the bulk leaf water. The maximal Peclet
effect observed here was 3 (excluding marked points), which was much
smaller than those reported previously (Flanagan et al., 1991 , 1994 ;
Wang et al., 1998 ). The small Peclet effect in this study was probably
due to low evaporation rates (<5 mmol H2O
m 2 s 1, Table I). In
addition, although not measured here, Peclet effects in oak (K.G.
Harwood, D. Yakir, J.S. Gillon, and H. Griffiths, unpublished data) and
other woody species (birch and poplar; Roden and Ehleringer, 1999 )
have been consistently equally low in a wide range of conditions.
Therefore, the absence of significant isotopic gradients in leaf water
over the whole leaf is a good indication that isotopic gradients are
unlikely to occur across the much smaller distances (<0.01 mm) between
evaporating surfaces and chloroplasts.
Extent of CO2-H2O Isotopic
Equilibrium
We measured CA activity in the experimental plants and used the
results to estimate the in vivo extent of isotopic equilibrium between
CO2 and H2O in the
chloroplast. Previously, close to full isotopic equilibrium has been
assumed due to the high rates of CA catalysis expected in most plants.
We tested this assumption by measuring CA activities under assay
conditions and estimating in vivo rates under leaf conditions (at
chloroplastic [CO2] and leaf temperature).
Assay rates showed significant variation, with the lowest rates in soy
(Table I). Although CA activity for the oak plants used here was not
determined, measurements in oak species from previous studies revealed
very high CA activity (mean and SD for Quercus
bosserii 288 ± 36; Quercus robur 261 ± 25; Quercus pedunculata 201 ± 30 mmol
CO2 m 2
s 1; J.S. Gillon and D. Yakir, unpublished
survey data). Further differences were introduced when calculating in
vivo CO2 hydration rates, due to small
variabilities in leaf temperature and internal [CO2] between the experiments. Notably, during
a light response curve, CO2 hydration rates in
vivo did not vary considerably. Most likely, reductions in the
calculated CO2 hydration rate associated with
decreased internal [CO2] at high light were
compensated for by increased leaf temperatures and enhancement of
catalytic activity.
Using the data on CA activity during leaf gas exchange, we could
assess the extent of
CO2-H2O isotopic
equilibrium independently of 18O measurements.
The efficiency of
CO2-H2O isotopic
equilibrium depends upon the product k , which is
residence time ( ) times the rate constant of
CO2 hydration within the chloroplast
(k) (see "Materials and Methods"). Combining with the
isotope exchange theory of Mills and Urey (1940) for the
CO2-H2O reaction, the fractional extent of isotopic equilibrium may be described by eq (Eq. 4), so that full equilibrium occurs
when eq = 1 (corresponding to k
greater than 15; Fig. 4). Thus, as
CO2 (with isotopic signal of
a) passes through a leaf, the
18O of CO2
changes, approaching equilibrium with leaf water represented by
e. The 18O
value of CO2 in the chloroplast
( c) should lie between
a and e, at some
point depending on eq (Fig. 4). This
effect has already been demonstrated qualitatively in
genetically modified plants with low CA activity, where
18O, and therefore
c, were dramatically reduced compared with the values expected at full isotopic equilibrium
( e) (Price et al., 1994 ; Williams et al.,
1996 ).

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Figure 4.
Diagram showing the dynamics of oxygen isotope
exchange between atmospheric CO2 ( a) and
leaf water ( e) and the resulting 18O of
CO2 ( c). Isotopic equilibrium
( eq) from Equation 4, solid line was calculated from the
CA activity and CO2 residence time (k ),
which represents the number of hydrations per CO2 molecule
and is related to ca/ ea.
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Calculating k and the corresponding extent of isotopic
equilibrium for each data point, we observed more than 95% isotopic equilibrium ( eq >0.95) for tobacco (Fig.
5). The lower CA activity in soy
suggested that the equilibrium was 75% complete. In the extreme case,
potentially high CA activity in oak corresponded to complete isotopic
equilibrium throughout the light response, where k was
always greater than 15 (data not plotted in Fig. 5). Note that in other
plants, including C3 and C4 species, eq values
were found to span the whole range from 0 to 1 (J.S. Gillon and D. Yakir, unpublished data).

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Figure 5.
The number of hydration reactions per
CO2 molecule (k ) calculated from
CAleaf/Fin as a
function of the CO2 assimilation rate. Shown on the second
axis is the equivalent extent of isotopic equilibrium from Equation 4,
in which full equilibrium (>99.5%) occurs above k = 15. White symbols, Soy; black symbols, tobacco (different symbols refer
to different light responses). All values for oak were above
k = 15 because of the assumed high CA rates.
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CO2 Concentration at the Site of Isotopic Equilibrium
Based on the above discussion that c lies
between a and e and
reflects eq, it is possible to show that
eq is related to
ca/ ea (Fig. 4), since
algebraically:
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(5)
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This describes the 18O/16O ratio of
CO2 at the site of oxygen exchange
(Rc) relative to that in full equilibrium with
leaf water (Re), and that for un-equilibrated
CO2 inside the leaf, Rc'. The term
Rc' = Ra · (1 /[ +1]) allows for the variable expression of
under non-equilibrium conditions (as in
13C discrimination). Thus,
(1 ek /3) = eq ca/ ea (Fig 5). We now
incorporate the extent of isotopic equilibrium into Eq. 2, and
C18OO discrimination is then given as:
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(6)
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With measured values of 18O, ea, and
eq, we may thus derive , and hence
cc(eff), the effective CO2
concentration at the site of CO2-H2O equilibrium.
The cc(eff) values obtained
from Equation 6 were always intermediate between
ci (from gas exchange) and
cc (from
13C), as shown in Figure
6. These results were obtained from eight experiments in three species, measured on two separate systems, reducing the likelihood of bias introduced via system or species effects. Typically, all values of internal
[CO2] dropped at high assimilation rates,
as CO2 demand increased, albeit with variation due to some non-correlated changes in stomatal conductance,
particularly for soy. Species differences were evident:
cc(eff) was generally closer to
ci in soy, closer to
cc in oak, and intermediate in tobacco.

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Figure 6.
Data shown for all light response curves, showing
internal CO2 concentration (µmol mol 1) as a
function of CO2 assimilation rate (A)
(µmol m 2 s 1). Symbols refer to
CO2 concentration in internal air space
(ci) (from gas exchange measurements, ),
ccs (from 18O,
e, and CA activity; ), and
cc (from 13C; ). Species
are tobacco (a-c), soy (d-e), and oak (f-h). Light responses in c
and e were conducted using ambient 18O CO2,
whereas the rest used CO2 depleted in 18O. f
through h, Experiments in 40%, 20%, and 2% ) O2,
respectively.
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The values of cc(eff) represent
the CO2 concentration at the effective site of
CO2-H2O equilibrium, which
we term ccs (Yakir, 1998 ), indicating
that the chloroplast surface is the likely site. This assumes that the
limit of CA activity occurs at the chloroplast surface, since the
majority of CA resides within the chloroplast (Everson, 1970 ). These
results are consistent with the difference between the effects of
Rubisco on 13C and CA on
18O: although Rubisco and CA show the same
distribution within the chloroplast (Anderson et al., 1996 ), Rubisco
removes 12CO2 from the
system, creating a 13C gradient between
cc and
ca; CA only acts to cancel out any
18O gradients in CO2
throughout the domain of its activity, so that an
18O gradient only exists from the chloroplast
surface (ccs) to the atmosphere
(ca) (Fig.
7).

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Figure 7.
Diagram representing the backflux of
CO2 from sites of CO2 fixation
(cc) and sites of oxygen exchange
(ccs) in the chloroplast, showing the
partitioning of total internal conductance
(gi) (relevant to 13C) into
chloroplast (gch) and wall
(gw) conductance (from
18O).
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Note that in interpreting 18O, the
best-constrained value is e. Consequently,
testing the model for 18O usually involved
deriving c values and comparing them with e values. Assuming that we appropriately
adjust c for eq and correctly estimate ccs, the two values
should match. In previous studies, 13C-derived
values of cc were used and the
observed difference between e and
c was explained in terms of incomplete
isotopic equilibrium. The effects of incomplete equilibrium was
addressed in those cases by applying a certain value
( = A/CAleaf), which was
incorporated within the 18O model (Farquhar
and Lloyd, 1993 ; Flanagan et al., 1994 ; Williams and Flanagan, 1996 ;
Williams et al., 1996 ). Furthermore, the method of
cc determination based on individual
13C measurements (and not the trend of
13C across the full range of A)
generated a range of cc values (up to
40 µmol mol 1), so that co-adjustment of
cc and was required to
resolve e versus c differences.
In some cases, estimates of c were as much as
10 below e in both laboratory and field
studies (Yakir et al., 1994 ; Harwood et al., 1998 ; Wang et al., 1998 ).
Such differences cannot be explained by only considering
ccs, and probably imply large
heterogeneity in leaf water isotopic composition. Especially in the two
latter field studies, Peclet effects may be much larger than observed in this study. It is possible that these discrepancies represent isotopic leaf water heterogeneity between water in the chloroplast and
at the evaporating sites. Better characterization of the oxygen exchange site may help future studies of significant leaf water gradients and Peclet effects.
Partitioning Internal CO2 Conductance
The association of 18O with the
[CO2] at the chloroplast surface
(ccs) provides us with another
reference point in the diffusion pathway from atmosphere to chloroplast
in addition to probing ci via gas
exchange (von Caemmerer and Farquhar, 1981 ) and
cc from 13C
analysis (von Caemmerer and Evans, 1991 ). From Fick's law of diffusion, CO2 concentration gradients are
related to conductance by the general expression A = gx
(c1 c2). Applying values of ccs, we may partition the total
conductance (gi) into its components before and after the chloroplast surface by plotting A
versus (ci ccs) and versus
(ccs cc). In each case, the inverse of the
gradient refers to cell wall/plasmalemma conductance
(gw) and conductance within the
chloroplast (gch), respectively (Fig. 7), assuming no significant resistance to CO2
diffusion in the gaseous leaf interior (Evans et al., 1994 ). Despite a
larger error in determining conductances from
18O compared with
13C, gw was
significantly higher than gi for both
tobacco and soy, and on the borderline of significance for oak (Table
II). Comparing the values of
gch relative to
gw, the chloroplast conductance was
estimated to be 0.8 (tobacco), 0.3 (soy), and 3.2 (oak) times the wall
conductance
(gch/gw,
Table II). The magnitude and species variability of
gch was much lower than previous
theoretical estimations, where the wall conductance was thought to be
the major limitation to diffusion, such that
gch/gw
was predicted to be from 4.8 (Evans et al., 1994 ) to 7.4 (Cowan, 1986 ).
The occurrence of low chloroplast conductance was associated with low
in vivo CA activities (soy), while potentially high CA activity in oak
may be associated with high gch.
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Table II.
The breakdown of total leaf CO2
conductance (gleaf) into its components, stomatal
(gs) (from gas exchange) and internal (gi)
(from 13C, plus error from 95% confidence limits of the
slopes)
With 18O, gi is further
partitioned into wall conductance to Ccs,
gw, and the residual conductance within the
chloroplast, (gch). All units are mol
CO2 m 2 s 1. The ratio of
chloroplast to wall conductance is also shown
gch/gw. Average
CAleaf activity is shown for comparison (µmol
m 2 s 1).
|
|
Importance of CA-Mediated Diffusion in gch
It is becoming increasingly evident that CA facilitates diffusion
and therefore CO2 conductance within the
chloroplast (Cowan, 1986 ; Makino et al., 1992 ; Price et al., 1994 ;
Williams et al., 1996 ; Sasaki et al., 1998 ). This may be further
supported by the association of CA activity with the relative magnitude
of chloroplast conductance in the three species used here (Table
II). However, in the past, modification of CA activity has
revealed little or no change in photosynthetic rate (Price et al.,
1994 ; Williams et al., 1996 ), so that the benefit to photosynthesis
from CA remains unclear. We now propose that the relative contribution
from CA to photosynthetic efficiency may be species dependent and not always clearly apparent. In particular, CA-mediated diffusion may be
more important when total internal conductance is low, as is the case
for woody species (von Caemmerer and Evans, 1991 ; Lloyd et al., 1992 ;
Loreto et al., 1992 ; Syvertsen et al., 1995 ). In such cases,
photosynthetic limitations attributable to low wall conductance
(gw), which occur due to the cellular
architecture of schlerophyllous leaves, may be offset by optimizing
chloroplast conductance (gch).
This species effect on CA-mediated gch
is illustrated by estimating CO2 assimilation as
a function of chloroplast conductance (Fig.
8). Assimilation was described as
A = k(cc *) Rd, where k
and * are the carboxylation efficiency and compensation point (k = 0.121 and 0.073, ci = 208 and 252, * = 40 and 45 for
oak and tobacco, respectively) and cc = ci A/gi. We calculated the change in
CO2 assimilation rate relative to observed values
(Fig. 8) due to varying the chloroplast component of internal
conductance (while keeping gw
constant, plotted as
gch/gw
in Fig. 8). In oak, with lower wall conductance (high
gch/gw),
the current assimilation rate is 20% higher compared with that which
would occur at chloroplast conductance values found in tobacco.
Conversely, in tobacco, increasing gch
to the extent found in oak would result in only a 5% increase in
A. This example is also consistent with the gas exchange
measurements from tobacco plants with genetically reduced CA activity
(Price et al., 1994 ; Williams et al., 1996 ). Internal conductance was lower (approximately 0.25 mol m 2
s 1) in the CA mutant compared with wild-type
plants (approximately 0.4 mol m 2
s 1).

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Figure 8.
The potential change in CO2
assimilation rate (A) as a function of
gch (oak and tobacco, solid lines).
gch is normalized relative to a constant
wall conductance (gw) (0.35 and 1.12 mol
m 2 s 1 for oak and tobacco, respectively).
The changes in A are expressed relative to measured
assimilation rates at actual conductance values,
gch/gw = 0.8 and 3.2 for tobacco (A = 12.7 µmol
mol 1) and oak (A = 13.7 µmol
mol 1), respectively. Also marked is the estimated
gch/gw (see text)
of tobacco mutants lacking CA (Price et al., 1994 ; Williams et al.,
1996 ), indicating only a small effect on assimilation relative to the
wild-type tobacco.
|
|
Applying the present ratio of
gch/gw
(0.8) for wild-type tobacco plants, we may calculate the wall
conductance for wild-type plants from their
13C-derived
gi values. Assuming this physical wall
conductance is unchanged between wild-type and CA mutant plants (the
antisense CA gene should have no other effects on leaf physiology and
structure), we estimate a lower value of
gch/gw = 0.5 for the CA mutant tobacco plants, i.e. the reduction in
gi is due to reduction in
gch only. Indicating the position of
the CA-mutant plants on Figure 8, we predict only a 5% drop in
CO2 assimilation for the 90% to 95% reduction
in CA activity, in agreement with reported results.
Two main points arise from this simple analysis. First, it
appears that relative chloroplast conductance is proportional to CA
activity across almost three orders of magnitude of CA activity, with a
possible minimum at
gch/gw = 0.5, where all residual CO2 diffusion will be
un-facilitated (i.e. no CA effect). This strongly supports the
occurrence of CA-mediated diffusion in the chloroplast. Second,
although the oak plants used may not be completely representative of
woody species, CA activity in woody plants in general may have been
optimized over evolutionary time to compensate for low wall conductance
(J.S. Gillon and D. Yakir, unpublished data). For example, in a
preliminary survey, mean in vivo CA hydration rates were 1,090 and 390 µmol m 2 s 1
for trees/shrubs (n = 16) and herbaceous species
(n = 12), respectively, which may correspond to a
three-times increase in gch relative to gw. By extending such surveys to
include conductance estimates (both internal and stomatal), or by
manipulating CA activity in species with low internal conductance, the
potential importance of CA in photosynthesis may prove to be
substantially greater than currently assumed.
 |
MATERIALS AND METHODS |
Plant Material
Soy (Glycine max), tobacco (Nicotiana
tabacum), maize (Zea mays), and sorghum (Sorghum
bicolor) were grown from seed in a greenhouse under ambient light
and temperature at Weizmann Institute of Science (WIS). The latter two
species were only used in the test of leaf water heterogeneity to
increase the scope of the test. Oak seedlings (Quercus
robur) were provided by the Forestry Commission (UK) in 1991, and kept outside and well-watered in 1-L pots at Moorbank Botanical
Gardens (University of Newcastle-upon-Tyne, UK), until required.
Measurements were conducted on 6- to 10-week-old plants of soy and
tobacco plants and on 5-year-old oak seedlings. Transfer of plant
material was several days prior to the experiment to allow
acclimatization to laboratory conditions.
System 1 (WIS): Gas Exchange
Figure 9 shows a scheme of the
on-line isotope/gas exchange system at WIS. Synthetic air was mixed
from N2, CO2, and
O2 cylinders using mass flow controllers (MKS
Instruments, Andover, MA), and humidified by bubbling a variable
portion of the airstream through water at room temperature
( 18O = 4.5 , therefore, vapor 14.5 ), acidified with two drops of 80% (v/v)
H3PO4. The airflow was
split into reference and analysis airstreams, the latter flow range,
800 to 1,500 mL min 1, was passed to a Parkinson
"conifer pod" leaf cuvette (PLC) (model PLC3C, ADC Scientific,
Hoddeson, UK), and flow was measured via another mass flow controller.
Illumination was from a 250 W projector lamp (GEC, Cleveland), passing
through a 3-cm depth of water to reduce infrared radiation.
Incident radiation on the leaf was controlled by shading with a
predetermined number of Miracloth filters (Calbiochem, San Diego).
Absolute CO2 and H2O
concentration in reference and analysis airstreams were monitored
alternately via an infrared gas analyzer (model Li-6262, LI-COR,
Lincoln, NE).

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Figure 9.
Arrangement of on-line CO2 trapping
and off-line H2O trapping apparatus for continuous flow
CO2 isotopic analysis, in conjunction with leaf chamber and
gas exchange system.
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|
Isotopic Measurement of CO2
The outflow of the leaf chamber after passing through the
infrared gas analyzer (minimum 700 mL min 1) was
split, 100 mL min 1 was pumped first through a
dryer (Nafion, Perma Pure, Toms River, NJ), and then a sample loop
(0.85 mL) was fitted onto a six-port, two-position valve (Valco
Instruments, Houston). CO2 was trapped at liquid
N2 temperatures for 30 s. After warming to
room temperature, the sample was swept with helium carrier gas (120 mL
min 1; ultrapure, Gordon Gas and Chemicals, Tel
Aviv) through a magnesium perchlorate drying trap and a 2-m packed
column (sieve 5A, 80/100 mesh, Alltech, Deerfield, IL) at 60°C. The
large peaks of N2 and O2
that eluted first from the column were diluted via a gas diluter (Micromass, Manchester, UK), followed by the non-diluted sample CO2. The gas was introduced into the source of a
mass spectrometer (OPTIMA, Micromass) via an open split.
13C to 12C and
18O to 16O isotope ratios
were measured from the integrated peak areas of masses 44, 45, and 46 normalized against a 30-s CO2 reference pulse
injected prior to each sample. Sample size was standardized by
adjusting the cryogenic trapping time according to the
CO2 concentration in the outflow from the leaf
chamber. N2O was assumed to be constant in air
(310 nmol mol 1) and absent from "synthetic"
air, so values were corrected accordingly (Freidli and
Siegenthaler, 1988 ) and expressed in the small delta notation versus
Vienna Pee Dee Belemnite (VPDB) for 13C and
VPDB-CO2 for 18O. Precision
for repeated sampling of CO2 was 0.06
( 13C) and 0.07
( 18O).
Isotopic Measurement of Water Vapor
The remaining airflow from the leaf chamber was passed at
positive pressure to a 0.61-cm o.d. stainless steel vacuum line (pressure <1 × 10 3 torr) in which
CO2 and water vapor were trapped from the
airstream (3 min at 500 mL min 1) in a coil
cooled with liquid N2. After trapping, the line
was evacuated and the trap was heated with a flame, distilling both CO2 and H2O into a Pyrex
side arm immersed in liquid N2. After quantitative transfer the pyrex tube was flame sealed. The sample was
left for CO2-H2O
equilibrium at constant temperature (29°C, Labline Instruments,
Melrose Park, IL) for 72 h. The CO2 was then dried in a vacuum line with an ethanol trap at 70°C before isotopic analysis on a dual inlet mass spectrometer (MAT 250, Finnigan-MAT, Bremen, Germany). 18O of water vapor was
calculated from that of the CO2 according to the
method of Scrimgeour (1995) , correcting for the amount CO2 and H2O (calculated
from the concentration, flow rate, and time of trapping) and the
18O of the pre-equilibration
CO2, taken from the corresponding measurement of
the continuous flow system. Precision of 13C
CO2 and 18O water vapor
was 0.04 and 0.11 , respectively.
Experimental Procedure
Light responses were conducted from high to low PPFD (1,200-100
µmol photons m 2 s 1,
10 intervals) in 21% O2. Collections of
CO2 for isotopic analyses were carried out for 3 min, while water vapor was trapped continuously (i.e. two samples of
CO2 and one of water were analyzed per light level). Photosynthesis measurements were averaged for the collection period. At the end of the experiment, the portion of leaf inside the
cuvette was excised and placed in a 15-mL vacuum container (Becton-Dickinson, Rutherford, NJ) for extraction of leaf water. In
addition, three leaf discs (1.8 cm2) were cut
from the same leaf, and stored in liquid N2 for
subsequent determination of CA activity. The complete light response
analysis (approximately 10 determinations) was first conducted with
CO2 relatively depleted in
13C and 18O
( 13C = 30 and
18O = 30 ) to maximize the precision
of measurement. Subsequently, ambient air pumped through a 50-L
external buffering volume ( 13C 8
and 18O 0 ) was used to replicate
the experiment. Run-replicate numbers were n = 3 for
tobacco (two "depleted" and one ambient air) and n = 2 for soy (one of each).
System 2 (UNUT)
Photosynthesis measurements and cryogenic trapping of
CO2 and H2O for the
experiments on oak were conducted using the CIRAS-1 (PP Systems,
Hitchin, UK) and collection system at UNUT, which is described in
Gillon and Griffiths (1997) . CO2 isotopic
composition was 13C = 42 ,
18O = 30 , with
18O water vapor approximately = 18 .
In addition, trapped CO2 and H2O were separated via distillation of
CO2 from the mixture using an acetone/liquid
N2 slush at 80°C, as described in Harwood et al. (1998) . Precision for dry CO2 was 0.04
( 13C) and 0.07
( 18O). Precision for
18O H2O determinations
was 0.09 .
Experimental Procedure
A portion of leaf was placed in the chamber and illuminated for
1 to 2 h before beginning measurements. During sampling,
CO2 and water vapor were cryogenically trapped
for 15 min from an airstream of 200 mL min 1,
during which time photosynthetic parameters were averaged. This was
repeated at various PPFDs (500-100 µmol photons
m 2 s 1, 10-12 steps) to
cover the range of CO2 assimilation from
approximately 5 µmol m 2
s 1 to saturation, allowing the photosynthetic
rate to stabilize between each change in PPFD (approximately 20 min).
The leaf-to-air VPD was maintained as constant as possible
(approximately 1.5 ± 0.2 kPa) throughout the experiment by drying
a portion of the reference airstream with Drierite (W.A. Hammond,
Xenia, OH). Reference CO2 was collected between
every three to four samples. The complete light response and isotopic
analyses were conducted on the same leaf three times, once each at 2%,
21%, and 35% O2 to check the influence of
photorespiration rate (all other experiments at WIS were conducted at
21% O2).
Leaf Water Heterogeneity
A separate experiment was carried out at WIS to determine the
suitability of the Craig and Gordon model to estimate the
18O of bulk leaf water
( LW). A leaf was placed in the cuvette and left for 1 h (the minimum time for the first measurement in the above light response experiments). A dry CO2
sample from the leaf chamber was first collected in the stainless steel
line by passing the airstream through an additional acetone/liquid
N2 trap at 70°C in the vacuum line. This was
used to derive the 18O
CO2 to be used for equilibration. Next, a water
vapor sample from the leaf chamber was collected, as before, and the
leaf portion in the cuvette was then excised immediately afterward, and
placed in a vacutainer. Finally a reference water vapor sample,
bypassing the chamber, was collected ( 18O 15 ). This was repeated at different PPFD (100-1,500 µmol photons m 2 s 1) to
generate a range of evaporation rates, and repeated for soy, tobacco as
well as sorghum and maize, to increase the species range.
Determination of 18O Leaf Water
Leaf water was extracted by vacuum distillation at 60°C.
18O values were determined by equilibration of
0.2 mL with CO2 (70 kPa) at 29°C for 24 h,
followed by cryogenic separation of a CO2 aliquot, prior to mass spectrometric analysis. Values were calibrated on the Vienna standard mean oceanic water (VSMOW) scale by
simultaneously running internal water standards (WIS
H2O = 4.5 VSMOW).
CA Activity
Leaf discs were ground in a pestle and mortar at 4°C with
approximately 1 mL of extraction buffer per square centimeter of leaf disc (adapted from Makino et al., 1992 ). The buffer
contained 50 mM
4-(2-hydroxyethyl)-1-piperazineethanesulfonic acid (HEPES)-NaOH (set to pH 8.3) 0.5 mM EDTA, 10 mM
dithiothreitol, 10% (v/v) glycerol, and 1% (v/v) Triton X-100
to ensure solubilization of any membrane-bound CA. Extracts were spun
at 5,000 rpm for 10 min, and the supernatant was decanted into
Eppendorf tubes and frozen at 20°C until assayed. The assay was
conducted in a stirred flat-bottomed tube at 2°C. Assay error for the
same extract was much smaller than between extracts, so extracts were
only assayed once. To 3 mL of assay buffer (20 mM
Na-barbitol at pH 8.3), 15 to 50 µL of extract was added, and the
assay was started by adding 1 mL of distilled water previously
saturated with CO2 at 0°C. The time for the
change from pH 8.3 to 7.3 was recorded. To convert this into a molar rate of CO2 hydration, the same pH change was
titrated with 0.2 N
H2SO4, assuming the
stoichiometry of 1 mole of H+ formed for every
mole of CO2 hydrated (Hatch and Burnell, 1990 ). To calculate the rate of enzymic CO2 hydration,
the rate of a blank assay (i.e. just adding extraction buffer) was
subtracted from the rate with leaf extract. The activity
(CAassay) was expressed on a leaf area basis
(micromoles of CO2 hydrated per m2 per second), representing activity at 2°C and 17.5 mM
CO2. In vivo rates (CAleaf)
were calculated at leaf temperature by
CAleaf = (17.5 × F·CAassay·[CO2])/{[17.5 + Km]([CO2]+Km)},
where [CO2] is the concentration at the site of
catalysis (from ccs see
"Discussion" and converted from micromoles per mole to micromolar
via Henry's law), Km is the
concentration at half maximal activity, taken as 5 mM for dicot CA (data not shown), and the factor
F was used to correct the rate to leaf temperature, where
F = [(tleaf tassay)/10]Q10,
assuming Q10 = 2 (Hatch and Burnell,
1990 ).
Coefficient of CO2 Hydration
(k )
Two main factors control the exchange of
18O between leaf water and
CO2. During photosynthesis, the gross
CO2 influx rate
(Fin) regulates the residence time
( ) of CO2 in the aqueous leaf
medium, while the CA-catalyzed hydration of CO2
(CAleaf) determines the efficiency of oxygen
exchange during that time (Eq. 4). The rate constant for CA
(k) is equivalent to
CAleaf/ccs,
and the CO2 residence time
( ) is given by
ccs/Fin.
Thus the product, k = CAleaf/Fin, relates to the number of hydration reactions per
CO2 molecule. Fin was determined from the product of
external CO2 concentration (ca) and total conductance to the site
of CO2-H2O equilibrium (ca·gleaf),
where gleaf is the combination of
boundary (gb), stomatal (gs), and internal conductance to
ccs
(gw). Using the resistance analogy,
gleaf = 1/(1/gb + 1.6/gs + 1.6/gw). Boundary values
are quoted in the methods, stomatal values were taken from gas exchange measurements (converting from water to CO2 via
the factor of 1.6), and the internal conductance estimate is described
below (and see "Discussion"). Note that
Fin may be also defined as
A( + 1) from rearranging A = gleaf
(ca ccs), where = ccs/(ca ccs).
Photosynthetic Calculations
Photosynthetic parameters were calculated according to the
method of von Caemmerer and Farquhar (1981) . Due to the influence of
oxygen on water vapor determination from infrared gas analyzers (Ludwig
et al., 1998 ), measurements in 2% and 35% O2
were corrected with an O2-dependent calibration
coefficient (determined from separate tests). Conductance was corrected
for the ratio of stomatal density between upper and lower surfaces (K. Parkinson, CIRAS manual, PP Systems, Hitchin, UK), which were measured
from epidermal impressions as 0.32, 0.21, and 0.0 for tobacco, soy, and
oak, respectively. Boundary layer conductance to
H2O was measured for each species by dipping a
leaf in a weak detergent solution, removing excess water, then
measuring the evaporation rate in a darkened cuvette (1.1, 0.9 mol
m 2 s 1 for tobacco and
soy in a PLC conifer pod, and 3.0 mol m 2
s 1 for oak in PLC leaf chamber, respectively).
Leaf temperature was allowed to vary with PPFD, so that maximal
Tleaf at saturating PPFD was between
27°C and 29°C for all experiments (minimum
Tleaf = 23°C).
Tleaf was calculated from the energy
balance, where radiation and transmission characteristics were either
taken from the CIRAS manual for the system at UNUT or measured directly
at WIS. The ratio of PPFD (Delta-Ohm, Padova, Italy) to total radiation
(LI-COR) was determined for the light source, as well as the
transmission of the cuvette windows. All of the above parameters
can greatly influence the energy budget and hence the calculation of
photosynthetic parameters, especially
ci, hence we stress that such rigorous determination of all parameters was essential for interpreting plant
isotope discriminations.
13C Estimation of
cc
The additional reduction in CO2
concentration from ci to the
chloroplast (cc) was estimated from
the difference between the simple model and the measured discrimination
( i obs) (Evans et
al., 1986 ) as:
|
(7)
|
where obs is the discrimination measured
in Equation 1, i = a + (b' a)
ci/ca
(Farquhar et al., 1982 ), where ci and
ca refer to CO2
concentration in the substomatal cavity and atmosphere, respectively,
a is the fractionation during diffusion in air (4.4 ), and
b' is the fractionation during carboxylations (29 );
gi refers to the total internal
conductance, ai is the combined
fractionation (+1.8 ) during dissolution (+1.1 ) and diffusion
through the liquid phase (+0.7 ). Internal conductance was derived
from the gradient of the i obs response versus
A/ca measured
concurrently with 18O during the light
responses. This method avoids any influence from photorespiration
(Gillon and Griffiths, 1997 ) and uncertainty in b'.
Measurements where A < 8 µmol
m 2 s 1 were excluded to
avoid the influence of dark respiration on 13C
(Gillon and Griffiths, 1997 ).
Statistical Analysis
For the determination of total internal conductance
(gi) (from
A/ca versus
i obs) and wall
conductance (gw) (from A
versus ci ccs), linear regressions were obtained
by the least square method, also deriving 95% confidence limits for
slopes, from which the error for each conductance estimate was derived
(Sokal and Rohlf, 1981 ).
 |
ACKNOWLEDGMENTS |
We are grateful for the technical support of Emanuela Negreanu
and Ruti Yam, and for the reviewers' comments.
 |
FOOTNOTES |
Received September 27, 1999; accepted December 1, 1999.
1
This research was supported by the Israel
Science Foundation (grant no. 308/96). J.S.G. was supported by a
fellowship from the Leverhulme Trust, UK (no. SAS/30317) while at the
Weizmann Institute of Science, and by the Natural Environment Research Council, UK (grant no. GT4/94/379) while at University of
Newcastle upon Tyne, Department of Agriculture and Environmental
Sciences, Ridley Building, Newcastle upon Tyne, UK.
*
Corresponding author; e-mail ciyakir{at}wisemail.weizmann.ac.il;
fax 972-8-934-4124.
 |
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