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ICOS Open Science Conference, Helsinki, Sept 2016
Combining
Oceanic And
Atmospheric Carbon Data
to constrain CO2 fluxes
in Europe and its surrounding oceans
Christian R¨odenbeck
Max Planck Institute for Biogeochemistry, Jena
D. C. E. Bakker, B. Pfeil, G. Rehder, M. Glockzin,
R. Keeling, and M. Heimann
In collaboration with
C. Le Qu´er´e, S. Zaehle
N. Gruber, Y. Iida, A.R. Jacobson, S. Jones, P. Landsch¨utzer, N. Metzl, S. Nakaoka, A. Olsen,
G.-H. Park, P. Peylin, K.B. Rodgers, T.P. Sasse, U. Schuster, J.D. Shutler, V. Valsala,
R. Wanninkhof, J. Zeng,
Many thanks to:
Data contributors, DKRZ, CarboChange, IMBER / SOLAS
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←
←
←
Atmosphere
ZOT
NOAA/GMD
MLO
SPO
340
360
380
1980 1984 1988 1992 1996 2000 2004
CO2
MLO
Atmosphere
◮
Causality: Fluxes, Transport −→ Concentration gradient
Knowledge: Fluxes ←− Concentration gradient, Transport
cmeas ←→ cmod = Af + c0
“Atmospheric Inversion” = Multidimensional linear regression
Schauinsland - SCH (night time)
360
370
380
390
400
2002 2003 2004
Monte Cimone - CMN (day time)
360
370
380
390
400
2002 2003 2004
Schauinsland - SCH (night time)
360
370
380
390
400
2002 2003 2004
Monte Cimone - CMN (day time)
360
370
380
390
400
2002 2003 2004
W Europe
1990 1995 2000 2005 2010 2015
year (A.D.)
-1.5
-1.2
-0.9
-0.6
-0.3
0.0
0.3
0.6
CO2
Flux(PgC/yr)
s90 v3.8
CO2 uptake
CO2 release
Schauinsland - SCH (night time)
360
370
380
390
400
2002 2003 2004
Monte Cimone - CMN (day time)
360
370
380
390
400
2002 2003 2004
W Europe
1990 1995 2000 2005 2010 2015
year (A.D.)
-1.2
-0.9
-0.6
-0.3
0.0
CO2
Flux(PgC/yr)
s90 v3.8 (summer only)
More CO2 uptake
More CO2 release
Schauinsland - SCH (night time)
360
370
380
390
400
2002 2003 2004
Monte Cimone - CMN (day time)
360
370
380
390
400
2002 2003 2004
W Europe
1990 1995 2000 2005 2010 2015
year (A.D.)
-1.2
-0.9
-0.6
-0.3
0.0
CO2
Flux(PgC/yr)
s90 v3.8 (summer only)
More CO2 uptake
More CO2 release
Schauinsland - SCH (night time)
360
370
380
390
400
2002 2003 2004
Monte Cimone - CMN (day time)
360
370
380
390
400
2002 2003 2004
W Europe
1990 1995 2000 2005 2010 2015
year (A.D.)
-1.2
-0.9
-0.6
-0.3
0.0
CO2
Flux(PgC/yr)
s90 v3.8 (summer only)
More CO2 uptake
More CO2 release
∆ Temperature: ∆ Precipitation: (Jul-Sep) [Ciais et al., Nature (2005)]
2003 European climate anomaly
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Atmosphere
CO2
Sea-air gas exchange
Carbon
CO2 flux
inferred from CO2 inversion
Pacific 15S-15N
1990 1995 2000 2005 2010
year (A.D.)
-0.50
-0.25
0.00
0.25
0.50
Sea-airCO2flux(PgC/yr)
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Atmosphere
CO2
Sea-air gas exchange
Carbon
CO2 flux
inferred from CO2 inversion
Pacific 15S-15N
1990 1995 2000 2005 2010
year (A.D.)
-0.50
-0.25
0.00
0.25
0.50
Sea-airCO2flux(PgC/yr)
[Peylin et al., RECCAP (2013)]
But:
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Mixed
layer
pCO2,
[DIC]
Sea-air gas exchange
Carbon
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Mixed
layer
pCO2,
[DIC]
Sea-air gas exchange
Carbon
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[http://www.socat.info/]
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Data density / distribution
[www.socat.info]
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Data density / distribution
[www.socat.info]
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Statistical
Interpolation
Linear
Regression
Non-linear
Regression
Model-based
Regr./Tuning
Mapping methods
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Statistical
Interpolation
Linear
Regression
Non-linear
Regression
Model-based
Regr./Tuning
Role of driver data
Model
assump-
tions
Mapping methods
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Statistical
Interpolation
Linear
Regression
Non-linear
Regression
Model-based
Regr./Tuning
Role of driver data
Model
assump-
tions
Direct data signals
Bridging data gaps
−→ Interesting complementarity
−→ Extracting robust features
SOCOM: Collating 14 mapping methods
Mapping methods
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UEA-SI
OceanFlux-SI
Jena-MLS
CU-SCSE
AOML-EMP
UEx-MLR
JMA-MLR
UNSW-SOMLO
ETH-SOMFFN
CARBONES-NN
NIES-SOM
NIES-NN
PU-MCMC
NIES-OTTM
Monthly pCO2 (uatm)
2003 2004 2005 2006
320
340
360
380
400
420
Seasonality:
Most methods roughly agree
on phasing and amplitude
(also to Takahashi et al., 2009)
→ Seasonality well constrained from data
First SOCOM results [R¨odenbeck et al., BG (2015)]
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UEA-SI
Jena-MLS
AOML-EMP
JMA-MLR
UNSW-SOMLO
ETH-SOMFFN
NIES-SOM
NIES-NN
Yearly CO2 flux (PgC/yr)
1990 1995 2000 2005 2010
0.0
0.2
0.4
0.6
0.8
Interannual Variations (IAV):
– Tropical Pacific:
* Biome with largest IAV
* Link to ENSO
Methods selected / weighted by
relative IAV mismatch to SOCATv2
Thicker lines:
methods better matching the data
also mutually agree more closely
First SOCOM results [R¨odenbeck et al., BG (2015)]
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UEA-SI
Jena-MLS
AOML-EMP
JMA-MLR
UNSW-SOMLO
ETH-SOMFFN
NIES-SOM
NIES-NN
Yearly CO2 flux (PgC/yr)
1990 1995 2000 2005 2010
0.0
0.2
0.4
0.6
0.8
Interannual Variations (IAV):
– Tropical Pacific:
* Biome with largest IAV
* Link to ENSO
UEA-SI
Jena-MLS
AOML-EMP
JMA-MLR
UNSW-SOMLO
ETH-SOMFFN
CARBONES-NN
NIES-SOM
NIES-NN
PU-MCMC
Yearly CO2 flux (PgC/yr)
1990 1995 2000 2005 2010
-3.0
-2.5
-2.0
-1.5
-1.0
-0.5
– Global Ocean:
* Larger spread
due to poorly constrained areas
First SOCOM results [R¨odenbeck et al., BG (2015)]
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UEA-SI
Jena-MLS
AOML-EMP
JMA-MLR
UNSW-SOMLO
ETH-SOMFFN
NIES-SOM
NIES-NN
Yearly CO2 flux (PgC/yr)
1990 1995 2000 2005 2010
0.0
0.2
0.4
0.6
0.8
Interannual Variations (IAV):
– Tropical Pacific:
* Biome with largest IAV
* Link to ENSO
UEA-SI
Jena-MLS
AOML-EMP
JMA-MLR
UNSW-SOMLO
ETH-SOMFFN
CARBONES-NN
NIES-SOM
NIES-NN
PU-MCMC
Yearly CO2 flux (PgC/yr)
1990 1995 2000 2005 2010
-3.0
-2.5
-2.0
-1.5
-1.0
-0.5
Little decadal change Increasing sink
First SOCOM results [R¨odenbeck et al., BG (2015)]
just-to-prevent-the-PDF-page-to-be-flipped
Statistical
Interpolation
Linear
Regression
Non-linear
Regression
Model-based
Regr./Tuning
Role of driver data
Model
assump-
tions
Direct data signals
Bridging data gaps
−→ Interesting complementarity
−→ Extracting robust features
SOCOM: Collating 14 mapping methods
Jena-MLS
[R¨odenbeck et al.]
ETH-SOMFFN
[Landsch¨utzer et al.]
UEx-MLR
[Talk Ute Schuster]
Mapping methods
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Mixed
layer
pCO2,
[DIC]
Sea-air gas exchange
Carbon
CO2 flux
inferred from pCO2 interpolation
Pacific 15S-15N
1990 1995 2000 2005 2010
year (A.D.)
-0.50
-0.25
0.00
0.25
0.50
Sea-airCO2flux(PgC/yr)
just-to-prevent-the-PDF-page-to-be-flipped
Atmosphere
CO2
Mixed
layer
pCO2,
[DIC]
Sea-air gas exchange
Carbon
CO2 flux
inferred from CO2 inversion
Pacific 15S-15N
1990 1995 2000 2005 2010
year (A.D.)
-0.50
-0.25
0.00
0.25
0.50
Sea-airCO2flux(PgC/yr)
inferred from pCO2 interpolation
just-to-prevent-the-PDF-page-to-be-flipped
Atmosphere
CO2
Mixed
layer
pCO2,
[DIC]
Sea-air gas exchange
Carbon
Pacific 15S-15N
1990 1995 2000 2005 2010 2015
year (A.D.)
-0.50
-0.25
0.00
0.25
0.50
CO2
Flux(PgC/yr)
CO2 flux
inferred from CO2 inversion
Pacific 15S-15N
1990 1995 2000 2005 2010 2015
year (A.D.)
-0.50
-0.25
0.00
0.25
0.50
CO2
Flux(PgC/yr)
inferred from pCO2 interpolation
just-to-prevent-the-PDF-page-to-be-flipped
Atmosphere
CO2
Mixed
layer
pCO2,
[DIC]
Sea-air gas exchange
Carbon
Pacific 15S-15N
1990 1995 2000 2005 2010 2015
year (A.D.)
-0.50
-0.25
0.00
0.25
0.50
CO2
Flux(PgC/yr)
CO2 flux
inferred from CO2 inversion
Pacific 15S-15N
1990 1995 2000 2005 2010 2015
year (A.D.)
-0.50
-0.25
0.00
0.25
0.50
CO2
Flux(PgC/yr)
inferred from pCO2 interpolation
South American Trop.
1990 1995 2000 2005 2010 2015
year (A.D.)
-1.5
-1.0
-0.5
0.0
0.5
1.0
1.5
CO2
Flux(PgC/yr)
just-to-prevent-the-PDF-page-to-be-flipped
Atmosphere
CO2
Mixed
layer
pCO2,
[DIC]
Sea-air gas exchange
Carbon
North Atlantic Temp.
1990 1995 2000 2005 2010 2015
year (A.D.)
-0.50
-0.25
0.00
0.25
0.50
CO2
Flux(PgC/yr)
CO2 flux
inferred from CO2 inversion
North Atlantic Temp.
1990 1995 2000 2005 2010 2015
year (A.D.)
-0.50
-0.25
0.00
0.25
0.50
CO2
Flux(PgC/yr)
inferred from pCO2 interpolation
just-to-prevent-the-PDF-page-to-be-flipped
Atmosphere
CO2
Mixed
layer
pCO2,
[DIC]
Sea-air gas exchange
Carbon
North Atlantic Temp.
1990 1995 2000 2005 2010 2015
year (A.D.)
-0.50
-0.25
0.00
0.25
0.50
CO2
Flux(PgC/yr)
CO2 flux
inferred from CO2 inversion
North Atlantic Temp.
1990 1995 2000 2005 2010 2015
year (A.D.)
-0.50
-0.25
0.00
0.25
0.50
CO2
Flux(PgC/yr)
inferred from pCO2 interpolation
Europe
1990 1995 2000 2005 2010 2015
year (A.D.)
-0.50
-0.25
0.00
0.25
0.50
CO2
Flux(PgC/yr)
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Atmosphere
CO2
Mixed
layer
pCO2,
[DIC]
Sea-air gas exchange
Carbon
Southern Ocean
1990 1995 2000 2005 2010 2015
year (A.D.)
-0.50
-0.25
0.00
0.25
0.50
CO2
Flux(PgC/yr)
CO2 flux
inferred from CO2 inversion
Southern Ocean
1990 1995 2000 2005 2010 2015
year (A.D.)
-0.50
-0.25
0.00
0.25
0.50
CO2
Flux(PgC/yr)
inferred from pCO2 interpolation
just-to-prevent-the-PDF-page-to-be-flipped
Mixed
layer
pCO2,
[DIC]
Ocean-internal sources/sinks
Sea-air gas exchange
Carbon
CO2 flux
inferred from pCO2 interpolation
Pacific 15S-15N
1990 1995 2000 2005 2010
year (A.D.)
-0.50
-0.25
0.00
0.25
0.50
Sea-airCO2flux(PgC/yr)
[www.socat.info]
But:
just-to-prevent-the-PDF-page-to-be-flipped
Mixed
layer
pCO2,
[DIC]
Ocean-internal sources/sinks
Sea-air gas exchange
Carbon
CO2 flux
inferred from pCO2 interpolation
Pacific 15S-15N
1990 1995 2000 2005 2010
year (A.D.)
-0.50
-0.25
0.00
0.25
0.50
Sea-airCO2flux(PgC/yr)
0
1
“Reduction of Uncertainty” of flux IAV
But:
just-to-prevent-the-PDF-page-to-be-flipped
Mixed
layer
pCO2,
[DIC]
Sea-air gas exchange
Carbon
just-to-prevent-the-PDF-page-to-be-flipped
Mixed
layer
pCO2,
[DIC]
Sea-air gas exchange
Ocean-internal sources/sinks
Carbon
just-to-prevent-the-PDF-page-to-be-flipped
Mixed
layer
pCO2,
[DIC]
Ocean-internal sources/sinks
, MLD, wind
speed, XCO2, SLP,
Alk, SSS
Sea-air gas exchange
h
d
dt
C = fma(C) + finth
d
dt
C = fma(C) + fint
Using parameterizations of
– Solubility
– Sea–air gas exchange
– Carbonate chemistry
– Mixed-layer tracer budget
Carbon
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Mixed
layer
pCO2,
[DIC]
Sea-air gas exchange
Ocean-internal sources/sinks
Carbon Oxygen
• Biology:
Redfield stoichiometry
RO:C ≈ −1.4
• Transport+Mixing:
Common pathways
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Mixed
layer
pCO2,
[DIC]
[O2]
Ocean-in
Sea-air gas exchange
Carbon Oxygen
• Biology:
Redfield stoichiometry
RO:C ≈ −1.4
• Transport+Mixing:
Common pathways
just-to-prevent-the-PDF-page-to-be-flipped
Mixed
layer
pCO2,
[DIC]
[O2]
Ocean-in
Sea-air gas exchange
Carbon Oxygen
• Biology:
Redfield stoichiometry
RO:C ≈ −1.4
• Transport+Mixing:
Common pathways
just-to-prevent-the-PDF-page-to-be-flipped
Atmosphere
O2
Mixed
layer
pCO2,
[DIC]
[O2]
Ocean-internal sources/sinks
Sea-air gas exchange
Carbon Oxygen
• Biology:
Redfield stoichiometry
RO:C ≈ −1.4
• Transport+Mixing:
Common pathways
just-to-prevent-the-PDF-page-to-be-flipped
Atmosphere
O2
Mixed
layer
pCO2,
[DIC]
[O2]
Ocean-internal sources/sinks
Sea-air gas exchange
Carbon Oxygen
CO2 flux
inferred from O2/N2
Pacific 15S-15N
1990 1995 2000 2005 2010
year (A.D.)
-0.50
-0.25
0.00
0.25
0.50
Sea-airCO2flux(PgC/yr)
?
just-to-prevent-the-PDF-page-to-be-flipped
Atmosphere
O2
Sea-air gas exchange
Carbon Oxygen
Pacific 15S-15N
1990 1995 2000 2005 2010
year (A.D.)
-100
-50
0
50
100
Sea-airAPOflux(Tmol/yr)
APO flux
inferred from APO inversion
just-to-prevent-the-PDF-page-to-be-flipped
Atmosphere
O2
Mixed
layer
pCO2,
[DIC]
[O2]
Ocean-internal sources/sinks
Sea-air gas exchange
inferred from pCO2
Assumption: Linked `a la Redfield
Carbon Oxygen
Pacific 15S-15N
1990 1995 2000 2005 2010
year (A.D.)
-100
-50
0
50
100
Sea-airAPOflux(Tmol/yr)
APO flux
inferred from APO inversion
just-to-prevent-the-PDF-page-to-be-flipped
Atmosphere
O2
Mixed
layer
pCO2,
[DIC]
[O2]
Ocean-internal sources/sinks
Sea-air gas exchange
inferred from pCO2
Assumption: Linked `a la Redfield
Carbon Oxygen
Pacific 15S-15N
1990 1995 2000 2005 2010
year (A.D.)
-100
-50
0
50
100
Sea-airAPOflux(Tmol/yr)
APO flux
inferred from APO inversion
just-to-prevent-the-PDF-page-to-be-flipped
Atmosphere
O2
Mixed
layer
pCO2,
[DIC]
[O2]
Ocean-internal sources/sinks
Sea-air gas exchange
inferred from pCO2
Assumption: Linked `a la Redfield
Carbon Oxygen
Pacific 15S-15N
1990 1995 2000 2005 2010
year (A.D.)
-100
-50
0
50
100
Sea-airAPOflux(Tmol/yr)
APO flux
inferred from APO inversion
Ocean 15N-90N
-2000
-1000
0
1000
2000
Ocean 15S-15N
-2000
-1000
0
1000
2000
Sea-airAPOflux(Tmol/yr)
Ocean 90S-15S
Jan Jul Jan Jul
-2000
-1000
0
1000
2000
just-to-prevent-the-PDF-page-to-be-flipped
Atmosphere
O2
Mixed
layer
pCO2,
[DIC]
[O2]
Ocean-internal sources/sinks
Sea-air gas exchange
inferred from pCO2
Assumption: Linked `a la Redfield
Carbon Oxygen
Pacific 15S-15N
1990 1995 2000 2005 2010
year (A.D.)
-100
-50
0
50
100
Sea-airAPOflux(Tmol/yr)
APO flux
inferred from APO inversion
Ocean 15N-90N
-2000
-1000
0
1000
2000
Ocean 15S-15N
-2000
-1000
0
1000
2000
Sea-airAPOflux(Tmol/yr)
Ocean 90S-15S
Jan Jul Jan Jul
-2000
-1000
0
1000
2000
!
!
just-to-prevent-the-PDF-page-to-be-flipped
What do the atmospheric stations “see”?
Testing existing and potential CO2 observations (RINGO)
just-to-prevent-the-PDF-page-to-be-flipped
W Europe
2012 2013 2014 2015
year (A.D.)
-0.6
-0.3
0.0
0.3
0.6
CO2
Flux(PgC/yr)
– “Known truth”
(OCN, Zaehle et al., 2010)
– Retrieved from “synthetic data”
(s04 v3.8 sites)
(3-monthly anomalies)
What do the atmospheric stations “see”?
Testing existing and potential CO2 observations (RINGO)
just-to-prevent-the-PDF-page-to-be-flipped
W Europe
2012 2013 2014 2015
year (A.D.)
-0.6
-0.3
0.0
0.3
0.6
CO2
Flux(PgC/yr)
– “Known truth”
(OCN, Zaehle et al., 2010)
– Retrieved from “synthetic data”
(s04 v3.8 sites)
(3-monthly anomalies)
Northern Europe
2012 2013 2014 2015
year (A.D.)
-0.3
-0.2
-0.1
0.0
CO2
Flux(PgC/yr)
What do the atmospheric stations “see”?
Testing existing and potential CO2 observations (RINGO)
just-to-prevent-the-PDF-page-to-be-flipped
W Europe
2012 2013 2014 2015
year (A.D.)
-0.6
-0.3
0.0
0.3
0.6
CO2
Flux(PgC/yr)
– “Known truth”
(OCN, Zaehle et al., 2010)
– Retrieved from “synthetic data”
(s04 v3.8 sites)
(3-monthly anomalies)
Northern Europe
2012 2013 2014 2015
year (A.D.)
-0.3
-0.2
-0.1
0.0
CO2
Flux(PgC/yr)
– Retrieved from “synthetic data”
(s04 v3.8 sites +
assumend FINNMAID data)
Travem¨unde ↔ Helsinki
What do the atmospheric stations “see”?
Testing existing and potential CO2 observations (RINGO)
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Conclusions
W Europe
1990 1995 2000 2005 2010
-1.2
-0.9
-0.6
-0.3
0.0
CO2
Flux(PgC/year)
Atmospheric CO2 data & inversion:
• Constraint on land variability
• Southern Ocean trends
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Conclusions
W Europe
1990 1995 2000 2005 2010
-1.2
-0.9
-0.6
-0.3
0.0
CO2
Flux(PgC/year)
Atmospheric CO2 data & inversion:
• Constraint on land variability
• Southern Ocean trends
Surface-ocean pCO2 data & mapping:
Well-constrained ocean seasonality •
Ocean IAV constrained e.g. in Eq. Pac. •
Yearly CO2 flux (PgC/yr)
1990 1995 2000 2005 2010
0.0
0.2
0.4
0.6
0.8
just-to-prevent-the-PDF-page-to-be-flipped
Conclusions
W Europe
1990 1995 2000 2005 2010
-1.2
-0.9
-0.6
-0.3
0.0
CO2
Flux(PgC/year)
Atmospheric CO2 data & inversion:
• Constraint on land variability
• Southern Ocean trends
Surface-ocean pCO2 data & mapping:
Well-constrained ocean seasonality •
Ocean IAV constrained e.g. in Eq. Pac. •
Yearly CO2 flux (PgC/yr)
1990 1995 2000 2005 2010
0.0
0.2
0.4
0.6
0.8
Ship-based atmospheric CO2 meas.:
• Testing impact of additional data
• Potential for regional flux estimates
just-to-prevent-the-PDF-page-to-be-flipped
Conclusions
W Europe
1990 1995 2000 2005 2010
-1.2
-0.9
-0.6
-0.3
0.0
CO2
Flux(PgC/year)
Atmospheric CO2 data & inversion:
• Constraint on land variability
• Southern Ocean trends
Surface-ocean pCO2 data & mapping:
Well-constrained ocean seasonality •
Ocean IAV constrained e.g. in Eq. Pac. •
Yearly CO2 flux (PgC/yr)
1990 1995 2000 2005 2010
0.0
0.2
0.4
0.6
0.8
Ship-based atmospheric CO2 meas.:
• Testing impact of additional data
• Potential for regional flux estimates
Products available for download:
Atmospheric CO2 inversion •
pCO2-based mixed-layer scheme •
Combined products, sensitivity cases, atm. fields •
www.BGC-Jena.mpg.de/CarboScope/
Jena
CarboScope
just-to-prevent-the-PDF-page-to-be-flipped
BACK-UP SLIDES
just-to-prevent-the-PDF-page-to-be-flipped
Statistical
Interpolation
Linear
Regression
Non-linear
Regression
Model-based
Regr./Tuning
Role of driver data
Model
assump-
tions
Direct data signals
Bridging data gaps
−→ Interesting complementarity
−→ Extracting robust features
SOCOM: Collating 14 mapping methods
Mapping methods
just-to-prevent-the-PDF-page-to-be-flipped
Statistical
Interpolation
Linear
Regression
Non-linear
Regression
Model-based
Regr./Tuning
Role of driver data
Model
assump-
tions
Direct data signals
Bridging data gaps
−→ Interesting complementarity
−→ Extracting robust features
SOCOM: Collating 14 mapping methods
Jena-MLS
[R¨odenbeck et al.]
ETH-SOMFFN
[Landsch¨utzer
et al.]
Mapping methods
just-to-prevent-the-PDF-page-to-be-flipped
(18.%) Jena oc_v1.4S
(28.%) ETH-SOMFFN2016
Yearly CO2 flux (PgC/yr)
1985 1990 1995 2000 2005 2010 2015
0.1
0.2
0.3
0.4
0.5
Yearly pCO2 mismatch (uatm)
1985 1990 1995 2000 2005 2010 2015
-50
-30
-10
10
30
50
Cross Validation
just-to-prevent-the-PDF-page-to-be-flipped
(18.%) Jena oc_v1.4S
(28.%) ETH-SOMFFN2016
Yearly CO2 flux (PgC/yr)
1985 1990 1995 2000 2005 2010 2015
0.1
0.2
0.3
0.4
0.5
Yearly pCO2 mismatch (uatm)
1985 1990 1995 2000 2005 2010 2015
-50
-30
-10
10
30
50
(18.%) Jena oc_v1.4S
Yearly pCO2 (uatm)
1985 1990 1995 2000 2005 2010 2015
360
380
400
420
440
460
Cross Validation
just-to-prevent-the-PDF-page-to-be-flipped
(18.%) Jena oc_v1.4S
(28.%) ETH-SOMFFN2016
Yearly CO2 flux (PgC/yr)
1985 1990 1995 2000 2005 2010 2015
0.1
0.2
0.3
0.4
0.5
Yearly pCO2 mismatch (uatm)
1985 1990 1995 2000 2005 2010 2015
-50
-30
-10
10
30
50
(18.%) Jena oc_v1.4S
(100.%) Jena oc_v1.4S Benchmark
Yearly pCO2 (uatm)
1985 1990 1995 2000 2005 2010 2015
360
380
400
420
440
460
“Benchmark”:
Keep seasonality+trend, but no IAV
→ Mismatch ≈ signal size
→ “100% error”
Cross Validation
just-to-prevent-the-PDF-page-to-be-flipped
(18.%) Jena oc_v1.4S
(28.%) ETH-SOMFFN2016
Yearly CO2 flux (PgC/yr)
1985 1990 1995 2000 2005 2010 2015
0.1
0.2
0.3
0.4
0.5
Yearly pCO2 mismatch (uatm)
1985 1990 1995 2000 2005 2010 2015
-50
-30
-10
10
30
50
Interpolation: Regression:
Time-dep. DoF’s Constant DoF’s
→ Any IAV possible → IAV from drivers
Cross Validation
just-to-prevent-the-PDF-page-to-be-flipped
(18.%) Jena oc_v1.4S
Yearly CO2 flux (PgC/yr)
1985 1990 1995 2000 2005 2010 2015
0.1
0.2
0.3
0.4
0.5
Yearly pCO2 mismatch (uatm)
1985 1990 1995 2000 2005 2010 2015
-50
-30
-10
10
30
50
Cross Validation
just-to-prevent-the-PDF-page-to-be-flipped
(18.%) Jena oc_v1.4S
(121.%) Jena oc_v1.4S (CrossVal5yr0)
Yearly CO2 flux (PgC/yr)
1985 1990 1995 2000 2005 2010 2015
0.1
0.2
0.3
0.4
0.5
Yearly pCO2 mismatch (uatm)
1985 1990 1995 2000 2005 2010 2015
-50
-30
-10
10
30
50
No data
Data
No data
Data
No data
Data
→ Data-only interpolation
cannot bridge multi-year gaps
Cross Validation
just-to-prevent-the-PDF-page-to-be-flipped
(28.%) ETH-SOMFFN2016
(48.%) ETH-SOMFFN2016 (CrossVal5yr0)
Yearly CO2 flux (PgC/yr)
1985 1990 1995 2000 2005 2010 2015
0.1
0.2
0.3
0.4
0.5
Yearly pCO2 mismatch (uatm)
1985 1990 1995 2000 2005 2010 2015
-50
-30
-10
10
30
50
No data
Data
No data
Data
No data
Data
→ Regression against drivers
(SST, SSS, Chl-a, atm. CO2)
offers some bridging capacity
Cross Validation
just-to-prevent-the-PDF-page-to-be-flipped
(28.%) ETH-SOMFFN2016
(48.%) ETH-SOMFFN2016 (CrossVal5yr0)
Yearly CO2 flux (PgC/yr)
1985 1990 1995 2000 2005 2010 2015
0.1
0.2
0.3
0.4
0.5
Yearly pCO2 mismatch (uatm)
1985 1990 1995 2000 2005 2010 2015
-50
-30
-10
10
30
50
No data
Data
No data
Data
No data
Data
Yearly pCO2 mismatch (uatm)
1985 1990 1995 2000 2005 2010 2015
-50
-30
-10
10
30
50
Data
No data
Data
No data
Data
No data
Cross Validation
just-to-prevent-the-PDF-page-to-be-flipped
(28.%) ETH-SOMFFN2016
(62.%) ETH-SOMFFN2016 (Unconstrained periods)
Yearly CO2 flux (PgC/yr)
1985 1990 1995 2000 2005 2010 2015
0.1
0.2
0.3
0.4
0.5
Yearly pCO2 mismatch (uatm)
1985 1990 1995 2000 2005 2010 2015
-50
-30
-10
10
30
50
→ Regression against drivers
(SST, SSS, Chl-a, atm. CO2)
offers some bridging capacity
Cross Validation
just-to-prevent-the-PDF-page-to-be-flipped
(28.%) ETH-SOMFFN2016
(35.%) ETH-SOMFFN2016, regr. SST & SSS
Yearly CO2 flux (PgC/yr)
1985 1990 1995 2000 2005 2010 2015
0.1
0.2
0.3
0.4
0.5
Yearly pCO2 mismatch (uatm)
1985 1990 1995 2000 2005 2010 2015
-50
-30
-10
10
30
50
Chl-a data only available since 1998
– do SST and SSS suffice?
→ Less fitting capacity
(but main modes similar)
Cross Validation
just-to-prevent-the-PDF-page-to-be-flipped
(28.%) ETH-SOMFFN2016
(62.%) ETH-SOMFFN2016 (Unconstrained periods)
(35.%) ETH-SOMFFN2016, regr. SST & SSS
(77.%) ETH-SOMFFN2016, regr. SST & SSS (Unconstr.)
Yearly CO2 flux (PgC/yr)
1985 1990 1995 2000 2005 2010 2015
0.1
0.2
0.3
0.4
0.5
Yearly pCO2 mismatch (uatm)
1985 1990 1995 2000 2005 2010 2015
-50
-30
-10
10
30
50
Chl-a data only available since 1998
– do SST and SSS suffice?
→ Less fitting capacity
(but main modes similar)
→ Less bridging capacity
Cross Validation
just-to-prevent-the-PDF-page-to-be-flipped
(18.%) Jena oc_v1.4S
(16.%) Jena oc_v1.4S, regr. SST & SSS
(131.%) Jena oc_v1.4S, regr. SST & SSS (Unconstr.)
Yearly CO2 flux (PgC/yr)
1985 1990 1995 2000 2005 2010 2015
0.1
0.2
0.3
0.4
0.5
Yearly pCO2 mismatch (uatm)
1985 1990 1995 2000 2005 2010 2015
-50
-30
-10
10
30
50
Cross Validation
just-to-prevent-the-PDF-page-to-be-flipped
(47.%) ETH-SOMFFN2016
Yearly CO2 flux (PgC/yr)
1985 1990 1995 2000 2005 2010 2015
-0.4
-0.3
-0.2
-0.1
0.0
0.1
0.2
Yearly pCO2 mismatch (uatm)
1985 1990 1995 2000 2005 2010 2015
-50
-30
-10
10
30
50
Southern Ocean – sparse data
Cross Validation
just-to-prevent-the-PDF-page-to-be-flipped
(47.%) ETH-SOMFFN2016
(106.%) ETH-SOMFFN2016 (Unconstrained periods)
Yearly CO2 flux (PgC/yr)
1985 1990 1995 2000 2005 2010 2015
-0.4
-0.3
-0.2
-0.1
0.0
0.1
0.2
Yearly pCO2 mismatch (uatm)
1985 1990 1995 2000 2005 2010 2015
-50
-30
-10
10
30
50
Southern Ocean – sparse data
→ Bridging difficult &
difficult to test
Cross Validation
just-to-prevent-the-PDF-page-to-be-flipped
(47.%) ETH-SOMFFN2016
(106.%) ETH-SOMFFN2016 (Unconstrained periods)
(53.%) ETH-SOMFFN2016, regr. SST & SSS
Yearly CO2 flux (PgC/yr)
1985 1990 1995 2000 2005 2010 2015
-0.4
-0.3
-0.2
-0.1
0.0
0.1
0.2
Yearly pCO2 mismatch (uatm)
1985 1990 1995 2000 2005 2010 2015
-50
-30
-10
10
30
50
Southern Ocean – sparse data
→ Bridging difficult &
difficult to test
→ again main modes similar w/o Chl-a
Cross Validation
just-to-prevent-the-PDF-page-to-be-flipped
(37.%) Jena oc_v1.4S
(47.%) ETH-SOMFFN2016
Yearly CO2 flux (PgC/yr)
1985 1990 1995 2000 2005 2010 2015
-0.4
-0.3
-0.2
-0.1
0.0
0.1
0.2
Yearly pCO2 mismatch (uatm)
1985 1990 1995 2000 2005 2010 2015
-50
-30
-10
10
30
50
Southern Ocean – sparse data
→ Bridging difficult &
difficult to test
→ again main modes similar w/o Chl-a
→ Decadal trends also from data directly
Cross Validation
just-to-prevent-the-PDF-page-to-be-flipped
(25.%) ETH-SOMFFN2016
(18.%) Jena-MLS14SSS
Yearly CO2 flux (PgC/yr)
1985 1990 1995 2000 2005 2010 2015
-2.50
-2.25
-2.00
-1.75
-1.50
-1.25
-1.00
-0.75
Yearly pCO2 mismatch (uatm)
1985 1990 1995 2000 2005 2010 2015
-50
-30
-10
10
30
50
Global Ocean flux
– affected by data-sparse regions
→ Complementary mapping methods
(interpolation, regression)
help to assess robustness
Cross Validation

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