Atmos. Chem. Phys., 16, 14003–14024, 2016
www.atmos-chem-phys.net/16/14003/2016/
doi:10.5194/acp-16-14003-2016
© Author(s) 2016. CC Attribution 3.0 License.
Seasonal variability of stratospheric methane: implications for
constraining tropospheric methane budgets using total column
observations
Katherine M. Saad
1
, Debra Wunch
1,2
, Nicholas M. Deutscher
3,4
, David W. T. Griffith
3
, Frank Hase
5
,
Martine De Mazière
6
, Justus Notholt
4
, David F. Pollard
7
, Coleen M. Roehl
1
, Matthias Schneider
5
, Ralf Sussmann
8
,
Thorsten Warneke
4
, and Paul O. Wennberg
1
1
Environmental Science and Engineering, California Institute of Technology, Pasadena, California, USA
2
Department of Physics, University of Toronto, Toronto, Ontario, Canada
3
Center for Atmospheric Chemistry, School of Chemistry, University of Wollongong, Wollongong, NSW, Australia
4
Institute of Environmental Physics, University of Bremen, Bremen, Germany
5
Institute for Meteorology and Climate Research, Karlsruhe Institute of Technology, IMK-ASF, Karlsruhe, Germany
6
Royal Belgian Institute for Space Aeronomy, Brussels, Belgium
7
National Institute of Water and Atmospheric Research, Omakau, New Zealand
8
Institute for Meteorology and Climate Research, Karlsruhe Institute of Technology, IMK-IFU,
Garmisch-Partenkirchen, Germany
Correspondence to:
Katherine M. Saad (katsaad@caltech.edu)
Received: 7 April 2016 – Published in Atmos. Chem. Phys. Discuss.: 10 May 2016
Revised: 24 October 2016 – Accepted: 25 October 2016 – Published: 11 November 2016
Abstract.
Global and regional methane budgets are
markedly uncertain. Conventionally, estimates of methane
sources are derived by bridging emissions inventories with
atmospheric observations employing chemical transport
models. The accuracy of this approach requires correctly
simulating advection and chemical loss such that modeled
methane concentrations scale with surface fluxes. When total
column measurements are assimilated into this framework,
modeled stratospheric methane introduces additional poten-
tial for error. To evaluate the impact of such errors, we com-
pare Total Carbon Column Observing Network (TCCON)
and GEOS-Chem total and tropospheric column-averaged
dry-air mole fractions of methane. We find that the model’s
stratospheric contribution to the total column is insensitive
to perturbations to the seasonality or distribution of
tropo-
spheric
emissions or loss. In the Northern Hemisphere, we
identify disagreement between the measured and modeled
stratospheric contribution, which increases as the tropopause
altitude decreases, and a temporal phase lag in the model’s
tropospheric seasonality driven by transport errors. Within
the context of GEOS-Chem, we find that the errors in tropo-
spheric advection partially compensate for the stratospheric
methane errors, masking inconsistencies between the mod-
eled and measured tropospheric methane. These seasonally
varying errors alias into source attributions resulting from
model inversions. In particular, we suggest that the tropo-
spheric phase lag error leads to large misdiagnoses of wet-
land emissions in the high latitudes of the Northern Hemi-
sphere.
1 Introduction
Identifying the processes that have driven changes in at-
mospheric methane (CH
4
), a potent radiative forcing agent
and major driver of tropospheric oxidant budgets, is criti-
cal for understanding future impacts on the climate system.
Methane’s growth rate, which had been decreasing through
the 1990s from about 10 to 0 ppb per year, began to in-
crease again in 2006 and over the past decade has averaged
5 ppb per year (Dlugokencky et al., 2011). Developing ro-
bust constraints on the global CH
4
budget is integral to un-
derstanding which processes produced these decadal trends
Published by Copernicus Publications on behalf of the European Geosciences Union.
14004
K. M. Saad et al.: Assimilation of total column methane into models
(e.g., Bergamaschi et al., 2013; Wecht et al., 2014a, b; Turner
et al., 2015).
One common approach to quantifying changes in the spa-
tial distribution of sources are atmospheric inversions, which
incorporate surface fluxes estimated by bottom-up invento-
ries as boundary conditions for a chemical transport model
(CTM). The modeled CH
4
concentrations are compared to
observations within associated grid boxes, and prior emis-
sions are scaled to minimize differences with measured dry-
air mole fractions (DMFs), producing posterior estimates.
The accuracy of these optimized emissions depends on how
well the CTM simulates atmospheric transport and CH
4
sinks, which are generally prescribed.
Pressure-weighted total column-averaged DMFs (
X
gas
)
provide a relatively new constraint and have previously been
shown to improve estimates of regional and interhemispheric
gradients in trace gases (Yang et al., 2007). Infrared spec-
trometers can measure CH
4
DMFs (
X
CH
4
) from ground-
based sites, such as those in the Total Carbon Column Ob-
serving Network (TCCON) and Network for the Detection
of Atmospheric Composition Change (NDACC), and satel-
lites, including SCanning Imaging Absorption spectroMe-
ter for Atmospheric CartograpHY (SCIAMACHY) (Berga-
maschi et al., 2007), Greenhouse gases Observing SATel-
lite (GOSAT) (Parker et al., 2011), and the upcoming TRO-
POspheric Monitoring Instrument (TROPOMI) (Butz et al.,
2012). These observations complement surface measure-
ments because they add information about the vertically av-
eraged profile and are sensitive in the free troposphere (Yang
et al., 2007). Additionally, they complement aircraft obser-
vations by measuring trace gases at higher temporal fre-
quency, although they share the limitation of not measur-
ing in inclement weather. Satellite measurements add global
coverage that can fill in gaps where in situ observations are
sparse. Fraser et al. (2013) found that assimilating GOSAT
CH
4
columns into the GEOS-Chem CTM with an ensem-
ble Kalman filter reduced posterior emissions uncertainties
by 9–48 % for individual source categories and by more than
three times those of inversions that only assimilated surface
data for most regions. Wecht et al. (2014b) determined from
their analysis of observing system simulation experiments
(OSSEs) that TROPOMI’s daily frequency and global cover-
age performs similarly to aircraft campaigns on sub-regional
scales, and could provide a constraint on California’s CH
4
emissions similar to CalNex aircraft observations (Santoni
et al., 2014; Gentner et al., 2014).
Incorporating total columns into modeling assessments
can also be used to diagnose systematic issues with model
transport. For example, comparing carbon dioxide (CO
2
)
from TCCON and TransCom (Baker et al., 2006), Yang et al.
(2007) found that most models included in the comparison
lack sufficiently strong vertical exchange between the plane-
tary boundary layer (PBL) and the free troposphere, thereby
dampening the seasonal cycle amplitude of
X
CO
2
. The lim-
itations of models to accurately represent vertical transport
can lead to radically different spatial distributions of fluxes;
Stephens et al. (2007) found, for example, that the north-
ern terrestrial carbon land sink and tropical emissions were
overestimated by 0.9 and 1.7 PgC year
−
1
, respectively, when
comparing models to aircraft CO
2
profiles. More recent stud-
ies attribute to model transport errors the tendency of simu-
lated CH
4
in the Southern Hemisphere to be higher at the
surface than the free troposphere, in contrast with measure-
ments (Fraser et al., 2011; Patra et al., 2011).
Tropospheric CH
4
typically does not vary radically with
height above the PBL; above the tropopause, however, the
vertical profile of CH
4
exhibits a rapid decline with altitude
as a result of its oxidation and the lack of any source beyond
advection from the troposphere. Fluctuations in stratospheric
dynamics, including the height of the tropopause, change the
contribution of the stratosphere to the total column. CH
4
pro-
files with similar tropospheric values can thus have signif-
icant differences in
X
CH
4
(Saad et al., 2014; Washenfelder
et al., 2003; Wang et al., 2014).
Provided that simulations replicate seasonal and zonal
variability of stratospheric CH
4
loss, tropopause heights, and
vertical exchange across the upper troposphere and lower
stratosphere (UTLS), posterior flux estimates from inver-
sions incorporating
X
CH
4
measurements would not be sen-
sitive to stratospheric processes. However, most models do
not accurately represent stratospheric transport, producing
low age-of-air values and zonal gradients in the subtropi-
cal lower stratosphere that are less steep than observations
(Waugh and Hall, 2002). The TransCom-CH
4
CTM inter-
comparison assessment of transport using sulfur hexafluoride
(SF
6
) showed a strong correlation between the stratosphere–
troposphere exchange (STE) rate and the model’s CH
4
bud-
get, and a weaker correlation between the CH
4
growth rate
and vertical gradient in the model’s equatorial lower strato-
sphere (Patra et al., 2011). These forward model dependen-
cies of CH
4
concentrations on vertical transport, both within
the troposphere and across the tropopause, have the potential
to introduce substantial errors in atmospheric inversions. As
temporal and spatial biases in a model’s vertical profile will
alias into posterior emissions, inversions that incorporate to-
tal column measurements must ensure that the stratosphere
is sufficiently well described so as to not introduce spurious
seasonal, zonal, and interhemispheric trends in CH
4
concen-
trations and consequently emissions.
In this analysis, we identify systematic model errors in
the seasonal cycle and spatial distribution of CH
4
DMFs by
comparing TCCON total and tropospheric columns (Saad
et al., 2014) to vertically integrated profiles derived from
the GEOS-Chem CTM (Bey et al., 2001; Wang et al., 2004;
Wecht et al., 2014a). We assess the impact of errors in the
characterization of stratospheric processes on the assimila-
tion of
X
CH
4
and resulting posterior emissions estimates. In
Sect. 2 we describe the TCCON column measurements and
GEOS-Chem setup and characteristics. In Sect. 3 we present
the results of the measurement–model comparison. In Sect. 4
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K. M. Saad et al.: Assimilation of total column methane into models
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Table 1.
TCCON sites, coordinates, altitudes, start date of measurements and locations used in this analysis.
Site
Latitude
Longitude
Elevation
Start date
Location
Data reference
(
◦
)
(
◦
)
(km)
Bialystok
53.2
23.0
0.18
Mar 2009
Bialystok, Poland
Deutscher et al. (2014)
Bremen
53.1
8.9
0.03
Jan 2007
Bremen, Germany
Notholt et al. (2014)
Karlsruhe
49.1
8.4
0.11
Apr 2010
Karlsruhe, Germany
Hase et al. (2014)
Orleans
48.0
2.1
0.13
Aug 2009
Orleans, France
Warneke et al. (2014)
Garmisch
47.5
11.1
0.75
Jul 2007
Garmisch, Germany
Sussmann and Rettinger (2014)
Park Falls
45.9
−
90.3
0.47
Jan 2005
Park Falls, WI, USA
Wennberg et al. (2014b)
Lamont
36.6
−
97.5
0.32
Jul 2008
Lamont, OK, USA
Wennberg et al. (2014c)
JPL
34.2
−
118.2
0.39
Jul 2007
Pasadena, CA, USA
Wennberg et al. (2014d, a)
Saga
33.2
130.3
0.01
Jul 2011
Saga, Japan
Kawakami et al. (2014)
Izaña
28.3
−
16.5
2.37
May 2007
Tenerife, Canary Islands
Blumenstock et al. (2014)
Darwin
−
12.4
130.9
0.03
Aug 2005
Darwin, Australia
Griffith et al. (2014a)
Réunion Island
−
20.9
55.5
0.09
Sep 2011
Saint-Denis, Réunion
De Mazière et al. (2014)
Wollongong
−
34.4
150.9
0.03
Jun 2008
Wollongong, Australia
Griffith et al. (2014b)
Lauder
−
45.0
169.7
0.37
Jan 2005
Lauder, New Zealand
Sherlock et al. (2014a, b)
we compare the base case simulation to one in which emis-
sions do not vary within each year and quantify the sensitivity
of source attribution of the biggest seasonal emissions sector,
wetlands, to the tropospheric seasonal delay.
2 Methods
2.1 Tropospheric methane columns
TCCON has provided precise measurements of
X
CH
4
and
other atmospheric trace gases for over ten years (Wunch
et al., 2011a, 2015). Developed to address open questions
in carbon cycle science, the earliest sites are located in Park
Falls, Wisconsin, United States and Lauder, New Zealand
at about 45
◦
north and south, respectively. Since 2004, the
ground-based network of Fourier transform spectrometers
has expanded greatly.
X
CH
4
are processed with the current
version of the TCCON software, GGG2014, to be consistent,
and thereby comparable, across sites. Total column retrievals
are generated with the GFIT nonlinear least-squares fitting
algorithm, which calculates the best spectral fit of the solar
absorption signal to an a priori vertical profile and outputs
a scaling factor. The pressure-weighted integration of the
scaled a priori profile produces column abundances, which
are then divided by the dry air column, calculated using con-
currently retrieved oxygen (O
2
) columns (Wunch et al., 2010,
2011a, 2015). Trace gas a priori profiles are derived with
empirical models, which are generated incorporating aircraft
and balloon in situ and satellite measurements (see Wunch
et al., 2015, for a complete list), and for CH
4
include a sec-
ular increase of 0.3 % per year and an interhemispheric gra-
dient in the altitude dependence of the vertical profiles (Toon
and Wunch, 2014). These models are fit to daily noontime
National Centers for Environmental Protection and National
Center for Atmospheric Research (NCEP/NCAR) reanalysis
pressure grids (Kalnay et al., 1996), interpolated to the sur-
face pressure measured real-time on site. Because the profile
of CH
4
drops off rapidly in the stratosphere, the accuracy of
the a priori shape, and thus the retrieved column, depends on
correctly determining the tropopause.
Tropospheric columns have been shown to represent the
magnitude and seasonality of in situ measurements (Saad
et al., 2014; Washenfelder et al., 2003; Wang et al., 2014).
The tropospheric CH
4
column-averaged DMFs (
X
t
CH
4
) are
derived by the hydrogen fluoride (HF) proxy method de-
scribed in Saad et al. (2014), which uses the relationship be-
tween CH
4
and HF in the stratosphere, derived from ACE-
FTS satellite measurements (Bernath, 2005; De Mazière
et al., 2008; Mahieu et al., 2008; Waymark et al., 2014), to
calculate and remove the stratospheric contribution to
X
CH
4
.
The
X
t
CH
4
used in this analysis have been processed consis-
tently with the GGG2014 TCCON products, with air-mass
dependence and calibration factors calculated for and ap-
plied to
X
t
CH
4
(Wunch et al., 2010, 2015). Additional details
about the tropospheric CH
4
measurements can be found in
Appendix A.
With the exception of Eureka and Sodankylä, which are
highly influenced by the stratospheric polar vortex, all TC-
CON sites that provide measurements before December 2011
are included in this analysis (Fig. 1). Table 1 lists locations
and data collection start dates for each of the sites.
2.2 GEOS-Chem model
Model comparisons use the offline CH
4
GEOS-Chem ver-
sion 9.02 at 4
◦
×
5
◦
horizontal resolution on a reduced
vertical grid (47L). CH
4
loss is calculated on 60 min in-
tervals and is set by annually invariable monthly 3-D
fields: hydroxyl radical (OH) concentrations in the tropo-
sphere (Park et al., 2004) and parameterized CH
4
loss rates
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K. M. Saad et al.: Assimilation of total column methane into models
Figure 1.
Map of TCCON sites used in this analysis. Site colors are
on a spectral color scale in order of latitude, with Northern Hemi-
sphere sites designated by cool colors and Southern Hemisphere
sites designated by warm colors.
per unit volume in the stratosphere (Considine et al., 2008;
Allen et al., 2010; Murray et al., 2012). Emissions are re-
leased at 60 min time steps and are provided by the GEOS-
Chem development team for 10 sectors: (i) gas and oil, (ii)
coal, (iii) livestock, (iv) waste, (v) biofuel and (vi) other an-
thropogenic annual emissions from EDGAR v4.2 (European
Commission Joint Research Centre, Netherlands Environ-
mental Assessment Agency, 2011; Wecht et al., 2014a), (vii)
other natural annual emissions from Fung et al. (1991), (viii)
rice agriculture (European Commission Joint Research Cen-
tre, Netherlands Environmental Assessment Agency, 2011)
and (ix) wetland (Pickett-Heaps et al., 2011) monthly emis-
sions, which incorporate GEOS5 annual and monthly mean
soil moisture values, and (x) biomass burning daily emission
from GFED3 estimates (Mu et al., 2011; van der Werf et al.,
2010). Loss via soil absorption (Fung et al., 1991), set annu-
ally, is subtracted from the total emissions at each time step.
2.2.1 Model setup
We initialized zonal CH
4
distributions with GGG2014 data
version a priori profiles (Toon and Wunch, 2014) pro-
duced at horizontal grid centers, which we adjusted ver-
tically to match the zonally averaged daily mean model’s
tropopause, derived from the National Aeronautics and
Space Administration Global Modeling and Assimilation
Office (NASA/GMAO) Goddard Earth Observing System
Model, Version 5 (GEOS5). The model was run from De-
cember 2003, the first month in which GEOS5 meteoro-
logical data were available, to June 2004, the beginning of
the TCCON time series; we then ran the model repeatedly
over the June 2004–May 2005 time frame, which allowed
us to make comparisons with the TCCON data at Park Falls
and Lauder, until CH
4
concentrations reached equilibrium. A
number of perturbation experiments were run in this way to
quantify the sensitivity of CH
4
distribution and seasonality to
the offline OH fields, prescribed emissions, and tropopause
levels (Table 2). These model experiments are described in
greater detail in Appendix B1.
J
F
M
A
M
J
J
A
S
O
N
D
∆
CH
4
(ppb)
-15
-10
-5
0
5
10
15
Tropospheric column
J
F
M
A
M
J
J
A
S
O
N
D
∆
CH
4
(ppb)
-15
-10
-5
0
5
10
15
Total column
J
F
M
A
M
J
J
A
S
O
N
D
∆
CH
4
(ppb)
-15
-10
-5
0
5
10
15
Stratospheric contribution
Figure 2.
Seasonality of the difference between base and aseasonal
CH
4
for tropospheric, total and stratospheric contribution to total
columns. Site colors are as in Fig. 1.
Using CH
4
fields for 1 January 2005 from the equilibrium
simulation as initial conditions, model daily mean CH
4
mole
fractions were computed through 2011. These were con-
verted to dry mole fractions, as described in Appendix B2. In
addition to the default emissions scheme, an aseasonal sim-
ulation setup, in which rice, wetland, and biomass burning
emissions were disabled and aseasonal emissions scaled up
such that total annual zonal fluxes approximate those in the
base simulation, was similarly run to equilibrium and used
as initial conditions for the 2005–2011 run. The model in-
frastructure posed difficulties for setting the seasonally vary-
ing fluxes constant throughout each year; thus we implement
this scaling technique as an alternative to assess first-order
impacts of emission seasonality. The resulting changes to the
spatial distribution of CH
4
emissions are shown in Fig. B1.
For comparisons with column measurements, model ver-
tical profiles were smoothed with corresponding TCCON
CH
4
averaging kernels, interpolated for the daily mean so-
lar zenith angles, and prior profiles, scaled with daily median
scaling factors, following the methodology in Rodgers and
Connor (2003) and Wunch et al. (2010). Averaging kernels
and prior profiles were interpolated to the model’s pressure
grid, and all terms in the smoothing equation were interpo-
lated to daily mean surface pressures measured at each site.
Tropospheric columns were integrated in the same manner
as the total columns up to the grid level completely below
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K. M. Saad et al.: Assimilation of total column methane into models
14007
Table 2.
Sensitivity experiments.
Simulation name
Description
CH
4
lifetime
Final CH
4
burden
(years)
(Tg)
Base
Default OH and emissions
9.55
4825
Aseasonal
Constant monthly emission rates
9.57
4872
Updated OH
Monthly OH fields from standard chemistry
+
biogenic VOCs
8.53
4828
Figure 3.
Smoothed daily mean
X
t
CH
4
and stratospheric contribution to
X
CH
4
at Park Falls (blue) and Lauder (red) for
(a)
base equilibrium
simulation and the difference between the base and
(b)
aseasonal and
(c)
updated OH simulations.
the daily mean tropopause, consistent with how GEOS-Chem
partitions the atmosphere in the offline CH
4
simulation. To
test the dependence of our results on the chosen vertical inte-
gration level, tropospheric columns were also calculated as-
suming the tropopause was one and two grid cells above this
level. While
X
t
CH
4
changed slightly, by a median of about
1 and 5 ppb for a one and two-level increase respectively,
shifting the tropopause did not alter the findings discussed in
this paper. A description of the model smoothing methodol-
ogy and assumptions is provided in Appendix B3. The strato-
spheric contribution to the total column, which is calculated
as the residual between the
X
t
CH
4
and
X
CH
4
, is the amount by
which the stratosphere attenuates
X
CH
4
via stratospheric loss
and transport (see Appendix C for the derivation).
2.2.2 Model features
The seasonal amplitude of the differences between base and
aseasonal simulations are small – within
±
4 ppb – for all ver-
tical levels in the Southern Hemisphere (Fig. 2). In the North-
ern Hemisphere, however, the difference is much larger and
primarily impacts the troposphere, where it varies between
−
10 and
+
13 ppb. The insensitivity of the stratosphere to
the seasonality of emissions is due to the common source
of stratospheric air in the tropics (Boering et al., 1995) and
the loss of seasonal information as the age of air increases
(Mote et al., 1996).
Due to the relatively short photochemical lifetime of CH
4
in the stratosphere, about 22 months in the base simula-
tion, stratospheric CH
4
concentrations stabilize much more
quickly than in the troposphere (Fig. 3a). This rapid re-
sponse time of the stratosphere occurs regardless of perturba-
tions to the troposphere, such as the seasonality of emissions
(Fig. 3b) or tropospheric OH fields (Fig. 3c). In both hemi-
spheres the differences between the base and experimental
simulations asymptotically approach steady state with sea-
sonal variability over a decade in the troposphere, but oscil-
late seasonally around a constant mean in the stratosphere.
Stratospheric differences between simulations are consider-
ably smaller than the seasonal amplitude of the base run:
within 6 and 1 ppb, respectively, vs. a seasonal range of
30 ppb at Park Falls. By contrast,
X
t
CH
4
have differences
within 30 and 10 ppb, respectively, vs. a seasonal range of
20 ppb at Park Falls. The stratosphere at Lauder is even less
sensitive to tropospheric perturbations.
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K. M. Saad et al.: Assimilation of total column methane into models
Figure 4.
Daily median TCCON and smoothed daily mean GEOS-Chem base (top) and aseasonal (bottom) DMFs for
(a)
X
t
CH
4
,
(b)
X
CH
4
,
and
(c)
stratospheric contribution. Site colors are as in Fig. 1. Northern Hemisphere least squares regression equations are in the top left, and
Southern Hemisphere least squares regression equations are in the bottom right of each plot. Dashed lines mark the one-to-one lines.
3 Measurement–model comparison
The TCCON daily median and GEOS-Chem daily mean
CH
4
column-averaged DMFs demonstrate a strong inter-
hemispheric difference for
X
t
CH
4
and
X
CH
4
in both the base
and aseasonal simulations (Fig. 4). The Northern Hemi-
sphere
X
t
CH
4
slope deviates from the one-to-one line more
than the
X
CH
4
slope (0
.
60
±
0
.
02 vs. 0
.
86
±
0
.
03), and the
correlation coefficients are equivalent (
R
2
=
0
.
41), which
indicates that the poorer agreement between measurements
and models in the troposphere drives the scatter in the total
column.
The stratospheric contribution comparison between TC-
CON and the base simulation for the Northern Hemisphere
sites has an equivalent slope (0
.
60
±
0
.
1) and higher corre-
lation coefficient (
R
2
=
0
.
68) compared to
X
t
CH
4
(Fig. 4c).
GEOS-Chem’s larger stratospheric contribution to the total
column, coupled with lower tropospheric values, depresses
X
CH
4
. Because this effect on
X
CH
4
occurs more at higher
latitudes, zonal errors in the model’s stratosphere balances
those in the troposphere. The result is better measurement–
model agreement in the total columns.
The aseasonal simulation produces lower slopes and cor-
relation coefficients for,
X
t
CH
4
(slope
=
0.42
±
0.02,
R
2
=
0
.
32),
X
CH
4
(slope
=
0
.
60
±
0
.
03,
R
2
=
0
.
26), and the
stratospheric contribution (slope
=
0
.
52
±
0
.
01,
R
2
=
0
.
66)
in the Northern Hemisphere. Removing the seasonality of
emissions increases both measurement–model differences
and scatter, as we would expect given the seasonality of
Northern Hemisphere emissions noted in bottom-up stud-
ies (Kirschke et al., 2013). The aseasonal simulation also
reduces the offset between TCCON and GEOS-Chem,
whereby modeled
X
t
CH
4
and
X
CH
4
are systematically low.
TransCom-CH
4
showed that GEOS-Chem CH
4
concentra-
tions tend to be lower than the model median, and much
lower than the range of other models when using the same
OH fields (Patra et al., 2011). The aseasonal emissions used
in this analysis likely reduce this documented imbalance with
the model’s tropospheric OH fields.
The
X
CH
4
and
X
t
CH
4
regression equations across Southern
Hemisphere sites are nearly equivalent, which suggests that
the Southern Hemisphere is not as impacted by the STE er-
rors as the Northern Hemisphere. This consistency between
X
CH
4
and
X
t
CH
4
could also be a function of the zonal depen-
dence of the stratospheric error: whereas more than half of
the Northern Hemisphere sites are north of 45
◦
N, the most
poleward site in the Southern Hemisphere is located at 45
◦
S.
The increased scatter associated with the slightly lower
X
t
CH
4
R
2
value of 0.63, compared to the
X
CH
4
R
2
value of 0.88,
does indicate that the Southern Hemisphere is not exempt
from model errors associated with emissions, the OH distri-
bution, or transport. The lower
X
t
CH
4
slope of the aseasonal
simulation (1.1 vs. 1.3) illustrates the influence of emissions:
removing their seasonality leads to better measurement–
model agreement, evidenced by a slope closer to both the
one-to-one line and the zero-intercept. We hypothesize that
either the seasonality of Southern Hemispheric emissions
is too strong or, more likely, errors in the Northern Hemi-
spheric seasonality of emissions drive measurement–model
mismatch in the Southern Hemisphere via interhemispheric
Atmos. Chem. Phys., 16, 14003–14024, 2016
www.atmos-chem-phys.net/16/14003/2016/
K. M. Saad et al.: Assimilation of total column methane into models
14009
Latitude
-60
-40
-20
0
20
40
60
Pressure (hPa)
50
100
150
200
250
300
350
400
450
Spring
Latitude
-60
-40
-20
0
20
40
60
50
100
150
200
250
300
350
400
450
Fall
-150
-100
-50
0
50
100
150
∆
CH
4
(ppb)
Figure 5.
Zonally averaged ACE minus GEOS-Chem climatological CH
4
mole fractions for boreal spring and fall. Black line represents the
mean zonal tropopause level. Site colors of squares on the
x
axis are as in Fig. 1.
transport. If this effect was solely due to a changed emis-
sions distribution, we would expect the
X
CH
4
slope to also
change for the Southern Hemisphere sites, if only slightly;
instead the slope is equivalent to the base simulation
X
t
CH
4
and
X
CH
4
slopes, and
R
2
=
0
.
87, only marginally less than
the base simulation
X
CH
4
correlation coefficient.
The stratospheric contribution regression equations dif-
fer only slightly between the base and aseasonal simula-
tions:
(
0
.
64
±
0
.
02
)x
+
14,
R
2
=
0
.
68, vs.
(
0
.
62
±
0
.
02
)x
+
15,
R
2
=
0
.
67. The insensitivity of both the stratospheric
contribution and the total columns in the Southern Hemi-
sphere to perturbations in the seasonality of tropospheric
emissions could be driven by the smaller vertical gradient
across the UTLS that results from the influence of Northern
Hemispheric air both in the free troposphere (Fraser et al.,
2011) and the stratosphere (Boering et al., 1995). This ef-
fect would also support the interpretation of Northern Hemi-
spheric emission errors driving disagreement between obser-
vations and the model in the Southern Hemisphere.
In the troposphere, CH
4
increases from south to north;
the stratospheric contribution of CH
4
, however, increases
from the Equator to the poles due to the zonal gradient in
tropopause height. In the Northern Hemisphere total col-
umn, the zonal gradient largely disappears: at high lati-
tudes, the larger tropospheric emissions balances the larger
stratospheric contribution. By contrast, zonal gradients in the
Southern Hemisphere troposphere and stratosphere are addi-
tive, and greater south to north differences are apparent in the
total column.
Figure 5 illustrates how the model differs from ACE-
FTS CH
4
measurements in the stratosphere over boreal
spring (March–April–May) and fall (September–October–
November). Except above the tropical tropopause, CH
4
is
considerably lower in the ACE-FTS climatology (v. 2.2,
Jones et al., 2012) compared to GEOS-Chem. The difference
varies both with altitude and latitude, especially in the North-
ern spring poleward of 40
◦
N. The vertical gradient is the
least pronounced in Lauder, where the stratospheric contri-
butions of TCCON and GEOS-Chem fall most closely to the
one-to-one line (Fig. 4). The low CH
4
in the tropical mid and
upper stratosphere in GEOS-Chem could be a result of too-
weak vertical ascent to the stratosphere; however, the ACE-
FTS data gaps in the tropical troposphere make this hypoth-
esis difficult to test.
3.1 Dependence on tropopause height
In the Northern Hemisphere, the measurement–model mis-
match of the stratospheric contribution increases as the
tropopause altitude shifts downward (Fig. 6). As the model’s
stratospheric portion of the pressure-weighted total column
increases, the error in stratospheric CH
4
is amplified, caus-
ing a larger disagreement with measurements. Because the
tropopause height decreases with latitude, and this gradi-
ent increases during winter and spring, this introduces both
zonal and seasonal biases. The disagreement exhibits a large
spread for relatively few tropopause pressure heights because
the model’s effective tropopause, that is, the pressure level
at which the model divides the troposphere from the strato-
sphere in GEOS-Chem, is defined at discrete grid level pres-
sure boundaries.
The tropospheric mismatch (
1X
t
CH
4
), by contrast, de-
creases with tropopause height for the majority of days and
exhibits a much weaker correlation to tropopause height,
0
.
099 vs. 0
.
22 for the stratospheric contribution. Thus, as ex-
pected, the tropopause height explains less of the variance in
the measurement–model mismatch in
X
t
CH
4
: the upper tro-
posphere is generally well-mixed, and chemical loss does
not vary with altitude as much as in the lower stratosphere.
This weaker relationship also demonstrates that the choice of
tropopause used in the tropospheric profile integration does
not strongly impact
1X
t
CH
4
.
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Atmos. Chem. Phys., 16, 14003–14024, 2016