Total CO2
Measurements
As on previous cruises, TCO2 was
determined using automated dynamic headspace sample processors (SOMMA) with coulometric detection of the CO2 extracted from
acidified samples. A description of the SOMMA-Coulometry
System and its calibration can be found in Johnson et al. (1987), Johnson and
Wallace (1992), and Johnson et al. (1993). A schematic diagram of the SOMMA
analytical sequence may be found in earlier cruise reports (see Johnson et al.
1995,1996), and further details concerning the coulometric
titration can be found in Huffman (1977) and Johnson, King, and Sieburth (1985). The methods used for discrete TCO2
on WOCE sections have been extensively dealt with in previous reports (Johnson
et al. 1998a) and need only be briefly summarized.
The AR24 section required modification of the
usual sampling procedures. As noted in Section 3.1.2, 4-L sampling bottles were
employed on the rosette, limiting the amount of sample available for the carbonate
system analysts to one 500-mL bottle. Hence, the TCO2 coulometric titration analysis had to be completed before
the partially empty 500-mL bottle was passed to the TALK group for the potentiometric alkalinity titration. There was enough sample to complete both measurements, but not enough time or
sample for TCO2 replicate analyses from the same 500-mL sample
bottle. The 4-L sampling bottles also made it impossible to draw duplicate
samples from the same sampling bottle. Without duplicate samples from the
hydrographic stations, standard measures of sample precision (DOE 1994; Johnson
et al. 1998b) could not be completed on the AR24 section. Samples were poisoned
with 100 L of a 50% solution of HgCl2 and analyzed for TCO2
within 24 hours of collection (DOE 1994).
For sections A24, A20, A22, single or duplicate
samples were collected in 300-mL biological oxygen demand (BOD) bottles,
poisoned with 100 L of a 50% solution of HgCl2, and analyzed for
TCO2 within 24 hours of collection, according to standard operating
procedures (DOE 1994). The samples were stored in a dark refrigerator at 4-6°C
until approximately 1-2 hours before analysis, when they were removed and
placed in a temperature bath at 18-20°C and thermally equilibrated. The SOMMA
sample pipette and sample bath were also kept at approximately 20°C. Duplicate
samples were usually collected on each cast at the surface and from the bottom
waters. For some casts, three sets of duplicates were taken. The duplicates
were analyzed within the run of cast samples from which they originated so that
the time elapsed between duplicate analyses was 3-12 hours. As per standard
operating procedure (DOE 1994), CRM was routinely analyzed according to DOE
(1994) guidelines. The CRM was supplied by Dr. Andrew Dickson of the SIO, and
for the
An accurately known volume of seawater was
injected from an automated to-deliver (TD) pipette into a stripping chamber.
Following acidification, the resultant CO2 from continuous gas
extraction was dried and coulometrically titrated on
a model 5011 UIC coulometer with a maximum titration current of 50 mA in the counts mode (the number of pulses or counts
generated by the coulometers VFC during the
titration was displayed). In the coulometer cell, the acid (hydroxyethylcarbamic
acid) formed from the reaction of CO2 and ethanolamine is titrated coulometrically (electrolytic generation of
Each system was controlled with an
IBM-compatible PC equipped with two RS232 serial ports (coulometer and
barometer), a 24-line digital input/output card (solid state relays and
valves), and an analog-to-digital card (temperature, conductivity, and pressure
sensors). Real Time Devices (located in
The SOMMA-coulometry
systems were calibrated with pure CO2 (calibration gas) using
hardware consisting of an 8-port gas sampling valve (GSV) with two sample loops
of known volume [determined gravimetrically by the method of Wilke, Wallace, and Johnson (1993)] connected to the
calibration gas through an isolation valve; the vent side of the GSV was
plumbed to a barometer. When a gas loop was filled with CO2 at known
temperature and pressure, the mass (moles) of CO2 contained therein
was calculated, and the ratio of the calculated mass to that determined coulometrically was the calibration factor (CALFAC); the
CALFAC was used to correct the subsequent sample titrations for small
departures from 100% recoveries (DOE 1994). The standard operating procedure
was to make gas calibrations daily for each newly prepared titration cell
[normally, one cell per day and three sequential calibrations per cell at a
carbon age of 39 mgC (mean age @ 6 mgC), with the result of the third calibration taken as the
CALFAC if it was consistent with the second (i.e., agreement to ± 0.1% or
better)]. Daily gas calibrations were made on both systems throughout the
cruises.
The "to-deliver" volume (Vcal)
of the sample pipettes was determined (calibrated) gravimetrically prior to the
cruise to ± 0.02% or better in October of 1996. The calibration was checked
periodically during all cruises by collecting aliquots of deionized
water dispensed from the pipette into pre-weighed serum bottles. The serum
bottles were crimp-sealed and weighed immediately during the on-shore
laboratory calibrations, or returned to shore where they were reweighed on a
model R300S balance (Sartorius,
|
Table 2. The "to-deliver" pipette
volume (Vcal) and calibration
temperature (tcal) for the discrete
SOMMA-Coulometer Systems (S/N 004 and 030) used |
|||
|
Section |
System
S/N |
Vcal
(mL) |
tcal
(°C) |
|
AR24 (1996) |
004 |
21.8927 |
19.91 |
|
A24/A20/A22
(1997) |
004 |
21.2630 |
19.19 |
|
AR24 (1996) |
030 |
21.3733 |
20.91 |
|
A24/A20/A22
(1997) |
030 |
25.8544 |
19.52 |
The sample volume (Vt) at the pipette temperature was
calculated from the expression:
Vt = Vcal [1 + av (t - tcal)]
where av is the
coefficient of volumetric expansion for pyrex-type
glass (1 x�10-5/°C), and t is the temperature of the pipette
at the time of a measurement. The mean pipette temperature on the AR24 section
in 1996 was 20.32 ± 0.51°C (n = 948), and on the 1997 North Atlantic Sections
it was 19.55 0.52°C (n = 4666).
The factory-calibrated coulometers
were electronically calibrated independently in the laboratory before the
cruise as described in Johnson et al. (1993, 1996) and DOE (1994), and the
terms INTec
and SLOPEec
were obtained and entered into the software for each system. The micromoles of
carbon titrated (M), whether extracted from water samples or the gas loops, was
M = [Counts / 4824.45 - (Blank �xTt ) - (INTec
� x Ti)] / SLOPEec
where
4824.45 (counts/µmol) is a scaling factor obtained from the factory
calibration; Tt
is the length of the titration in minutes; Blank
is the system blank in mol/min; INTec is the intercept from electronic
calibration in mol/min; Ti
is the time in minutes during the titration where current flow was continuous;
and SLOPEec
is the slope from electronic calibration. Note that the slope obtained from the
electronic calibration procedure applied for the entire length of the
titration, but the intercept correction applied only for the period of
continuous current flow (usually 34 min) because the intercept can be
calculated only from calibrated levels of current flowing continuously.
Unfortunately, the coulometer system 030, which
was electronically calibrated prior to the AR24 cruise and again in March 1997,
had to be replaced at the start of section A24 in May 1997. However, the
replacement coulometer (S/N CBE-9010-V) was calibrated at the factory on
Table 3 illustrates an advantage of the
independent laboratory electronic calibration procedure. The mean CALFAC for
systems 004 and 030 using the laboratory-determined electronic calibration
coefficients was approximately 1.0036 (or 99.64% recovery of the theoretical
mass of CO2 calibration gas measured coulometrically)
vs 1.0053 (99.47% recovery) for the
factory-calibrated coulometer. Hence, a small percentage (0.17%) of the less
than 100% recovery for known masses of CO2 coulometrically
|
Table 3. The electronic calibration and
the mean gas calibration coefficients for the discrete TCO2
systems on WOCE Section AR24 (1996) and Sections A24, A20, and A22 (1997) |
||||||
|
Section |
System
S/N |
SLOPEec |
INTec mol/min |
CALFAC(n) |
St.
dev. |
Rel.
st. dev. (%) |
|
AR24 |
004 |
0.999372 |
0.002528 |
1.003892(9) |
0.000650 |
0.06 |
|
A20/A22/A24 |
004 |
0.998905 |
0.001466 |
1.003361(63) |
0.000740 |
0.07 |
|
AR24 |
030 |
0.999306 |
0.003550 |
1.003780(26) |
0.000497 |
0.05 |
|
A20/A22/A24 |
030a |
1.000000 |
0.000000 |
1.005344(59) |
0.001369 |
0.13 |
|
aFactory-calibrated coulometer installed at the beginning
of the A24 section in May 1997. |
||||||
titrated can be explained by a factory-calibration
procedure that is apparently slightly less accurate than the laboratory
calibration. This difference has been consistent throughout the CO2
survey.
For water samples, the discrete TCO2
concentration in µmol/kg was calculated from
TCO2 = M x�CALFAC x�[1 / (Vt x �p)] x�dHg
where
p is the density of sea water in g/mL at the
measurement temperature and sample salinity calculated from the equation of
state given by Millero and Poisson (1981), and dHg is the correction for sample dilution
with bichloride solution (for the AR24 section in
1996 dHg = 1.0002 and for the 1997 sections dHg = 1.000333 ).
One of the SOMMA-Coulometry
Systems (S/N 004) was equipped with a conductance cell (Model SBE-4, Sea-Bird
Electronics, Inc.,
Quality control-quality
assurance (QC-QA) was assessed from the results of the 275 CRM analyses made
using systems 004 and 030 during the four
|
Table 4. The mean analytical difference
(ΔTCO2 = measured-certified)
and the standard deviation of the differences between measured and certified
TCO2 on WOCE Sections AR24, A24, A20, and A22 |
||||
|
Section |
System
S/N |
Δ
TCO2 (µmol/kg) |
St.
dev. (µmol/kg) |
n |
|
AR24 |
004 |
1.42 |
2.10 |
16 |
|
AR24 |
030 |
1.54 |
1.88 |
49 |
|
Mean/total |
1.51 |
1.92 |
65 |
|
|
A24 |
004 |
0.04 |
1.10 |
49 |
|
A20 |
004 |
0.23 |
1.20 |
42 |
|
A22 |
004 |
0.06 |
0.69 |
17 |
|
Mean/total |
0.10 |
1.08 |
108 |
|
|
A24 |
030 |
0.79 |
1.00 |
48 |
|
A20 |
030 |
0.44 |
1.43 |
35 |
|
A22 |
030 |
0.26 |
1.22 |
19 |
|
Mean/total |
0.57 |
1.21 |
102 |
|
|
Overall mean/total |
0.61 |
1.47 |
275 |
|
The overall accuracy of the CRM analyses was better than 1
µmol/kg on both systems for the four North Atlantic sections, with a combined
overall mean difference of + 0.61 µmol/kg (n = 275). However, Table 4 shows
that on the AR24 section (1996), the mean difference and the standard deviation
of the differences were noticeably larger for both systems compared with the
1997 sections (A24/A20/A22). This may be due in part to mechanical problems
experienced by the AR24 measurement group, operator procedures, and possibly
the relatively short time available to service and re-calibrate the systems
prior to the AR24 section. The latter was brought about by the fact that system
004 had been used in the
All CRM analyses made on the discrete systems
(004 and 030) during the 1997 sections are reported in Table 4. However, for
section AR24, two CRM analyses were classified as outliers and dropped from the
data set. These were CRM No. 206 run on system 030 on November 23 (difference =
+10.17 µmol/kg) at a cell carbon age of
39.5 mgC, and CRM No. 600 on system 030 on November 28 (difference
= +7.99 µmol/kg) at a carbon age of 35.7 mgC. One CRM
analysis (CRM No. 352) run on system 004 on December 1 is not included in the data
set because the titration did not attain an endpoint.
The second phase of the QC-QA procedure was an
assessment of precision. As described in the text, duplicate samples could not
be taken during the AR24 section in 1996. Hence the only estimate of AR24
sample precision was the standard deviation of the differences between the
measured and certified TCO2 on both systems (see Table 4). Because differences from both systems
have been combined, the CRM measurements are analogous to the sample duplicates
analyzed on each system and should reflect both random and systemic error
(bias). The decrease in precision for the CRM analyzed on the AR24 section in
1996 (±1.92 µmol/kg) compared with the CRM analyzed in 1997 (±1.20 µmol/kg) was
consistent with the problems described for the 1996 leg. The good agreement in
TCO2 between systems in 1996 (see Table 4) suggests that analyzing
duplicate seawater samples on each system, as was done in 1997, might have
yielded a higher precision than the precision of the CRM differences.
Nevertheless, without sample duplicates, the AR24 sample precision must be
based on the CRM analyses. Hence the precision of the TCO2
determination for the AR24 section in 1996 was ±1.92 µmol/kg (n = 65). Because
procedures and performance varied from 1996 to 1997, separate estimates of
sample precision were required for each year; the data for 1997 are given in
Table 5.
By 1997 the
deployment of two independent SOMMA systems side-by-side was routine, and the
conventions employed for the estimation of precision in the earlier WOCE data
reports are retained in Table 5. For sections A24, A20, and A22 in 1997, the
single-system precision was determined from samples with duplicates analyzed on
the same system (either 004 or 030). The sample precision was calculated using
duplicates that were analyzed on both systems (004 and 030).
|
Table 5. Precision of the discrete TCO2
analyses on WOCE Sections A24, A20, and A22 |
||||||||
|
Section |
Mean
absolute difference |
Pooled
standard deviation |
||||||
|
abs (µmol/kg) |
|
K |
Sp2 (µmol/kg) |
K |
n |
d.f. |
||
|
Single-system
precision |
||||||||
|
A24 |
1.08 |
1.01 |
175 |
1.04 |
175 |
350 |
175 |
|
|
A20 |
0.95 |
1.14 |
84 |
1.04 |
84 |
168 |
84 |
|
|
A22 |
0.99 |
0.93 |
71 |
0.96 |
71 |
142 |
71 |
|
|
Sample precision |
||||||||
|
All |
1.76 |
1.41 |
56 |
1.59 |
61 |
122 |
61 |
|
Single-system and sample
precision have been separately assessed in Table 5 as
"between-sample" precision (abs),
which is the mean absolute difference between duplicates (n = 2)
drawn from the same Niskin bottle; and
the pooled standard deviation (Sp2)
calculated according to Youden (1951), where K
was the number of samples with duplicates analyzed, n was the total
number of replicates analyzed from K samples, and n - K was
the degrees of freedom (d.f.).
Single-system
precision provided a measure of drift in system response during a sequence of
sample analyses. This is because the time lapse between duplicate analyses on
the same system using the same coulometer cell was deliberately kept at 312
hours, on the assumption that drift or change in response would be reflected in
the single-system precision by an increase in the imprecision of the duplicate
analyses. Sample precision, on the other hand, was measured because TCO2
measurements were made on two separate systems, and an estimate of overall
sample precision for the section (s), independent of which analytical system
was used, was required. Sample precision is the most conservative estimate of
precision, incorporating several sources of random or systematic (bias) error.
As on other sections in
the
The North Atlantic
sample precision for all four sections in 1996 and 1997 (±1.92 and ±1.59
µmol/kg, respectively) is in good agreement with the
published and unpublished sample precision for other WOCE sections where
systems were run in parallel: AE1, 1991 (±1.65 µmol/kg);
P6, 1992 (±1.65 µmol/kg); A10, 1993 (±1.92 µmol/kg); A8, 1994 (±1.17 µmol/kg);
Indian Ocean, 1995 (±1.20 µmol/kg). During the
1997 North Atlantic sections, a limited number of duplicate samples (K = 6)
were analyzed from two different Niskin bottles
closed at the same depth, and the mean absolute difference and standard
deviation was 0.77 ± 0.50 µmol/kg, which
was consistent with earlier findings (e.g., Johnson et al. 1998a; Johnson et
al. 2001) that there were likely no significant analytical effects due to gas
exchange with the overlying headspace of the Niskin
bottles during sampling.
Tables 4 and 5 show an
internally consistent data set of high quality with excellent accuracy
(< or = 2.0 µmol/kg), high
single-system precision (< or = 1.0 µmol/kg), and a slightly higher imprecision for the sample
precisions (1.59 - 1.92 µmol/kg). Based on these
data, the TCO2 data clearly meet survey criteria for accuracy
(< or = 4.0 µmol/kg)
and precision, and as with previous data submissions, no correction for
instrumental bias or CRM analytical differences has been applied to the TCO2
data.