Validation report for the CO2 fluxes estimated by atmospheric inversion, v19r1 Version 1.0 - Copernicus ...

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ECMWF COPERNICUS REPORT

Copernicus Atmosphere Monitoring Service

                Validation report for the CO 2 fluxes
                estimated by atmospheric inversion, v19r1
                Version 1.0

                Issued by: CEA / Frédéric Chevallier
                Date: 02/08/2020
                REF.: CAMS73_2018SC2_D73.1.4.1-2019_v3_202008_Validation inversion CO2
                fluxes_v1
Copernicus Atmosphere Monitoring Service

     This document has been produced in the context of the Copernicus Atmosphere Monitoring Service (CAMS).
     The activities leading to these results have been contracted by the European Centre for Medium-Range Weather Forecasts,
     operator of CAMS on behalf of the European Union (Delegation Agreement signed on 11/11/2014). All information in this
     document is provided "as is" and no guarantee or warranty is given that the information is fit for any particular purpose.
     The user thereof uses the information at its sole risk and liability. For the avoidance of all doubts, the European Commission
     and the European Centre for Medium-Range Weather Forecasts has no liability in respect of this document, which is merely
     representing the authors view.

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                   Contributors

                   CEA
                   Frédéric Chevallier

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Table of Contents

1. Introduction                                                                5

2. Inversion configuration                                                     5

3. Evaluation                                                                 13
3.1 Fit to the assimilated measurements                                        13
3.2 Fit to unassimilated aircraft measurements                                 13
3.3 Fit to TCCON GGG2014                                                       15
3.4 Country and annual scale CO2 budgets             Error! Bookmark not defined.

Acknowledgements                                                              17

References                                                                    17

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1. Introduction
The inversion system that generates the CAMS global CO2 atmospheric inversion product is called
PyVAR. It has been initiated, developed and maintained at CEA/LSCE within CAMS and its precursor
projects GEMS/MACC/MACC-II/MACC-III (Chevallier 2020, and references therein).

Here, we synthesize the evaluation of version 19r1 that was released in August 2020. Version 19r1
covers the period between January 1979 and December 2019. It mainly improves compared to the
earlier v18r3 presented in Chevallier (2019) by a revision of the assimilated data1 and by the use of
new prior information for the emissions from the use of fossil fuels and the production of cement.

The presentation of the evaluation procedure is primarily based on the fit of the inversion posterior
simulation to large databases: ObsPack Globalview+_v5.0 of Cooperative Global Atmospheric Data
Integration Project (2019), ObsPack NRT v5.2 of NOAA Carbon Cycle Group ObsPack Team (2020), and
the Total Carbon Column Observing Network (TCCON) GGG2014 archive (Wunch et al. 2011). In
addition, time series at national annual scale are shown and briefly discussed.

Section 2 describes the PyVAR-CO2 configuration that was used and Section 3 presents the evaluation
synthesis.

2. Inversion configuration
The transport model in PyVAR-CO2 is the global general circulation model LMDz in its version LMDz6A
(Remaud et al. 2018), that uses the deep convection model of Emanuel (1991). This version has a
regular horizontal resolution of 3.75o in longitude and 1.875o in latitude, with 39 hybrid layers in the
vertical.

The inferred fluxes are estimated in each horizontal grid point of the transport model with a temporal
resolution of 8 days, separately for day-time and night-time. The state vector of the inversion system
is therefore made of a succession of global maps with 9,200 grid points. Per month it gathers 73,700
variables (four day-time maps and four night-time maps). It also includes a map of the total CO2
columns at the initial time step of the inversion window in order to account for the uncertainty in the
initial state of CO2.

The prior values of the fluxes combine estimates of (i) gridded annual anthropogenic emissions (GCP-
GridFED version 2019.1, Jones et al., 2020), (ii) monthly ocean fluxes (Denvil-Sommer et al. 2019 with
updates described in Friedlingstein et al., 2019 2 ), 3-hourly (when available) or monthly biomass
burning emissions (GFED 4.1s until the end of 20193 and GFAS afterwards) and climatological 3-hourly

1
  Measurements after December 2019 are used to constrain the year 2019 better, but fluxes for those
months are not publicly distributed.
2 This database covers the period 1985-2018. We use the monthly values for the years 1985 and 2018 before

and after it, respectively.
3 Before 1997, a monthly climatology of this database is used.

Author                                      5 of 20
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biosphere-atmosphere fluxes taken as the 1989-2010 mean of a simulation of the ORganizing Carbon
and Hydrology In Dynamic EcosystEms model (ORCHIDEE, Krinner et al. 2005), version 4.6.9.5. The
mass of carbon emitted annually during specific fire events is compensated here by the same annual
flux of opposite sign representing the re-growth of burnt vegetation, which is distributed regularly
throughout the year. The gridded prior fluxes exhibit 3-hourly variations but their inter-annual
variations over land are only caused by anthropogenic emissions. This feature was explicitly
demanded by some users who wanted the interannual signals in the inverted natural fluxes to be
strictly driven by the atmospheric measurements.

Over land, the errors of the prior biosphere-atmosphere fluxes are assumed to dominate the error
budget and the covariances are constrained by an analysis of mismatches with in situ flux
measurements (Chevallier et al. 2006, 2012): temporal correlations on daily mean Net Carbon
Exchange (NEE) errors decay exponentially with a length of one month but night-time errors are
assumed to be uncorrelated with daytime errors; spatial correlations decay exponentially with a
length of 500 km; standard deviations are set to 0.8 times the climatological daily-varying
heterotrophic respiration flux simulated by ORCHIDEE with a ceiling of 4 gC·m-2 per day. Over a full
year, the total 1-sigma uncertainty for the prior land fluxes amounts to about 3.0 GtC·yr-1. The error
statistics for the open ocean correspond to a global air-sea flux uncertainty about 0.5 GtC·yr-1 and are
defined as follows: temporal correlations decay exponentially with a length of one month; unlike land,
daytime and night-time flux errors are fully correlated; spatial correlations follow an e-folding length
of 1000 km; standard deviations are set to 0.1 gC·m-2 per day. Land and ocean flux errors are not
correlated.

Observation uncertainty in the inversion system is dominated by uncertainty in transport modelling
and is initially represented from the variance of the high frequency variability of the de-seasonalized
and de-trended CO2 time series of the daily-mean measurements at a given location. The values are
then adjusted, first by inflating all error variances by the number of measurements at a given location
within each calendar day, then by averaging consecutive measurements and defining the resulting
error variance as the average of the individual error variances.

Version 19r1 analyzed 41.4 years of surface measurements, from January 1979 to May 2020. The
assimilated measurements are surface air-sample measurements of the CO2 dry air mole fraction
made at 147 sites over the globe. These data are a carefully-selected subset of five databases of
atmospheric measurements:

    •    the     NOAA        Earth      System Research     Laboratory     Observation  Package
         (https://www.esrl.noaa.gov/gmd/ccgg/obspack/, Cooperative Global Atmospheric Data
         Integration Project, 2019, and NOAA Carbon Cycle Group Obspack Team, 2020),
    •    the Réseau Atmosphérique de Mesure des Composés à Effet de Serre database (RAMCES,
         http://www.lsce.ipsl.fr/),
    •    the Integrated Carbon Observation System- Atmospheric Thematic Center (ICOS-ATC,
         https://icos-atc.lsce.ipsl.fr/),
    •    the World Data Centre for Greenhouse Gases archive (WDCGG, https://gaw.kishou.go.jp/),
    •    the Global Environmental Database (GED) maintained by the Center for Global
         Environmental Research (CGER) of NIES (http://db.cger.nies.go.jp/portal/)

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The detailed list of selected sites is provided in Tables 1 and 2 and their location is displayed per
year in Figure 1. The irregular space-time density of the measurements implies a variable constraint
on the inversion throughout the 41.4 years, which is documented by the associated Bayesian error
statistics

Figure 1- Location of the assimilated measurements over the globe for each year in v19r1.

Table 1 - List of the continuous sites used in v19r1 together with the period of coverage (defined as the
period between the first sample and the last one), and the data source. Each station is identified by the
name of the place, the corresponding country (abbreviated) and the code used in the corresponding
database provider. Note that only a subset of the data at each site is selected, based on local time, on the
quality flag and also excluding outliers.

                        Locality (indentifier)               Period             Source
                      Alert, Nunavut, CA (ALT)              1988-2019          NOAA/ EC
                      Alert, Nunavut, CA (ALT)              1988-2019          NOAA/ EC
                     Amsterdam Island, FR (AMS)             1981-2020         ICOS/ LSCE
                      Argyle, Maine, US (AMT)               2003-2020         NOAA/ ESRL

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                         Azovo, Siberia, RU (AZV)                    2007-2017          NIES
                Behchoko, Northwest Territories, CA (BCK)            2010-2019       NOAA/ EC
                          Baring Head, NZ (BHD)                      1979-2018      NOAA/ NIWA
                  Bratt’s Lake Saskatchewan, CA (BRA)                2009-2019       NOAA/ EC
                     Berezorechka, Siberia, RU (BRZ)                 2002-2017          NIES
                        Barrow, Alaska, US (BRW)                     1979-2020      NOAA/ ESRL
                 Cambridge Bay, Nunavut Territory (CBY)              2012-2019       NOAA/ EC
                  Candle Lake, Saskatchewan, CA (CDL)                2002-2011       NOAA/ EC
                            Churchill, CA (CHL)                      2011-2019       NOAA/ EC
                    Chibougamau, Quebec, CA (CHM)                    2007-2011       NOAA/ EC
                        Monte Cimone, IT (CMN)                       2018-2019      NOAA/ ICOS
                        Monte Cimone, IT (CMN)                       1979-2019     WDCGG/ IAFMS
                          Cape Ochiishi, JP (COI)                    1985-2002      WDCGG/ NIES
                        Chapais, Quebec, CA (CPS)                    2011-2019       NOAA/ EC
                          Cape Point, SA (CPT)                       1993-2018      NOAA/ SAWS
                 Carbon in Arctic Reservoirs Vulnerability
                          Experiment, US (CRV)                       2011-2020      NOAA/ ESRL
                     Demyanskoe, Siberia, RU (DEM)                   2005-2017          NIES
                        Egbert, Ontario, CA (EGB)                    2005-2019       NOAA/ EC
                Estevan Point, British Columbia, CA (ESP)            2009-2019       NOAA/ EC
                         Esther, Alberta, CA (EST)                   2010-2019       NOAA/ EC
                 East Trout Lake, Saskatchewan, CA (ETL)             2005-2019       NOAA/ EC
                           Fraserdale, CA (FSD)                      1990-2019       NOAA/ EC
                           Hateruma, JP (HAT)                        1993-2002      WDCGG/ NIES
                 Hidden Peak (Snowbird), Utah, US (HDP)              2006-2015      NOAA/ NCAR
                Harvard Forest, Massachusetts, US (HFM)              2012-2018       NOAA/ HU
                      Hohenpeissenberg, DE (HPB)                     2015-2020     NOAA/ Scripps
              Hegyhatsal tower, 115m level, HU (HUN0115)             1994-2018      NOAA/ HMS
                         Igrim, Siberia, RU (IGR)                    2004-2013          NIES
                  Inuvik,Northwest Territories, CA (INU)             2012-2020       NOAA/ EC
                       Ivittuut, Greenland, DK (IVI)                 2011-2014       ICOS/ LSCE
                    Tenerife, Canary Islands, ES (IZO)               1984-2018     NOAA/ AEMET
                             Jubany, AR (JBN)                        1994-2009      WDCGG/ IAA
                          Jungfraujoch, CH (JFJ)                     2004-2020   NOAA/ Univ. Of Bern
                          Jungfraujoch, CH (JFJ)                     2016-2019    NOAA/ ICOS-ATC
                  Kasprowy Wierch, High Tatra, PL (KAS)              1996-2018       NOAA/ AGH
                            Hungary, HU (KPS)                        1981-1999     WDCGG/ HMS
                       Karasevoe, Siberia, RU (KRS)                  2004-2017          NIES
                      Park Falls, Wisconsin, US (LEF)                2000-2020      NOAA/ ESRL
                      Lac La Biche, Alberta, CA (LLB)                2000-2019       NOAA/ EC
                             Lamto, CI (LTO)                         2008-2020       ICOS/ LSCE
                           Lutjewad, NL (LUT)                        2006-2020       NOAA/RUG
                  Mace Head, County Galway, IE (MHD)                 1992-2020       ICOS/ LSCE
                  Mt. Bachelor Observatory, US (MBO)                 2012-2020       NOAA/ ESRL
                      Mauna Loa, Hawaii, US (MLO)                    1979-2020      NOAA/ ESRL
                       Minamitorishima, JP (MNM)                     1993-2018       NOAA/ JMA

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                      Noyabrsk, Siberia, RU (NOY)                  2005-2017             NIES
                    Niwot Ridge, Colorado, US (NWR)                2005-2015         NOAA/ NCAR
                    Marys Peak, Oregon, US (OMP)                   2007-2018          NOAA/ ESRL
              Observatoire Pérenne de l'Environnement, FR
                                (OPE)                              2011-2020          ICOS/ LSCE
                       Silverton, Oregon, US (OSI)                 2012-2018          NOAA/ OSU
                       Walton, Oregon, US (OWA)                    2012-2017          NOAA/OSU
                    Yaquina Head, Oregon, US (OYQ)                 2007-2011          NOAA/ OSU
               Pallas-Sammaltunturi, GAW Station, FI (PAL)         2000-2017          NOAA/ FMI
               Pallas-Sammaltunturi, GAW Station, FI (PAL)         2017-2020          NOAA/ ICOS
                         Plateau Rosa, IT (PRS)                    2000-2018      NOAA/ CESI RICERCA
                          Rio Branco, BR (RBA)                     2007-2014          NOAA/ INPE
                           Ridge Hill, UK (RGL)                    2012-2017       NOAA/ UNIVBRIS
                             Ryori, JP (RYO)                       1987-2018          NOAA/ JMA
               Southern Great Plains, Oklahoma, US (SGP)           2003-2018       NOAA/ LBNL-ARM
                     Tutuila, American Samoa (SMO)                 1979-2020          NOAA/ ESRL
                           Hyytiala, FI (SMR)                      2012-2020        NOAA/ Scripps
                          Sonnblick, AT (SNB)                      1999-2018        WDCGG/ UBAA
                  Shenandoah National Park, US (SNP)               2008-2020          NOAA/ ESRL
                      Storm Peak Laboratory (SPL)                  2005-2015         NOAA/ NCAR
                    South Pole, Antarctica, US (SPO)               1979-2020          NOAA/ ESRL
               Schauinsland, Baden-Wuerttemberg, DE (SSL)          1979-2018          NOAA/ UBA
                   Syowa Station, Antarctica, JP (SYO)             1984-2018    NOAA/ Tohoku University
                      Vaganovo, Siberia, RU (SVV)                  2006-2014             NIES
                         Tacolneston, UK (TAC)                     2013-2017          NOAA/ ESRL
                       Turkey Point, Ontario (TPD)                 2012-2019          NOAA/ EC
                      Vaganovo, Siberia, RU (VGN)                  2008-2017             NIES
                         Weybourne, UK (WAO)                       2007-2017          NOAA/ UEA
                        Moody, Texas, US (WKT)                     2003-2018         NOAAA/ ESRL
                     Sable Island, Nova Scotia (WSA)               1992-2019          NOAA/ EC
                       Yakutsk, Siberia, RU (YAK)                  2005-2013             NIES
                        Yonagunijima, JP (YON)                     1997-2018          NOAA/ JMA
               Ny-Alesund, Svalbard, Norway and Sweden
                                 (ZEP)                             2015-2017         NOAA/ NILU
               Ny-Alesund, Svalbard, Norway and Sweden
                                 (ZEP)                             2017-2020          NOAA/ ICOS

Table 2 - Same as Table 1 but for the flask-sampling sites. Note that only a subset of the data at each site is
selected, avoiding outliers.

                            Locality (indentifier)                    Period            Source

                          Alert, Nunavut, CA (ALT)                  1985-2020         NOAA/ ESRL
                          Alert, Nunavut, CA (ALT)                  1985-2018        NOAA/ Scripps
                          Alert, Nunavut, CA (ALT)                  1991-2018        NOAA/ CSIRO
                          Alert, Nunavut, CA (ALT)                  1988-2019          NOAA/ EC
                        Amsterdam Island, FR (AMS)                  1982-1990         NOAA/ ESRL
                        Amsterdam Island, FR (AMS)                  2001-2017        RAMCES/ LSCE
                          Anmyeon-do, KR (AMY)                      2013-2019         NOAA/ ESRL

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                         Ascension Island, GB (ASC)                     1979-2020    NOAA/ ESRL
                             Assekrem, DZ (ASK)                         1995-2019    NOAA/ ESRL
                      St. Croix, Virgin Islands, USA (AVI)              1979-1990    NOAA/ ESRL
                       Terceira Island, Azores, PT (AZR)                1979-2020    NOAA/ ESRL
                             Baltic Sea, PL (BAL)                       1992-2011    NOAA/ ESRL
                        Baja California Sur, MX (BCS)                   1997-2009   NOAA/ Scripps
                           Bering Island, RU (BER)                      1986-1994   WDCGG/ MGO
                           Baring Head, NZ (BHD)                        1999-2019    NOAA/ ESRL
                           Baring Head, NZ (BHD)                        1979-2018   NOAA/ Scripps
                           Baring Head, NZ (BHD)                        1979-2018   NOAA/ NIWA
                    St. Davids Head, Bermuda, GB (BME)                  1989-2010    NOAA/ ESRL
                       Tudor Hill, Bermuda, GB (BMW)                    1989-2020    NOAA/ ESRL
                          Barrow, Alaska, US (BRW)                      1979-2020    NOAA/ ESRL
                          Barrow, Alaska, US (BRW)                      1979-2018   NOAA/ Scripps
                               Begur, ES (BGU)                          2000-2017   RAMCES/ IC·3
                          Cold Bay, Alaska, US (CBA)                    1979-2020    NOAA/ ESRL
                          Cold Bay, Alaska, US (CBA)                    1995-2018   NOAA/ Scripps
                    Cape Ferguson, Queensland, AU (CFA)                 1991/2018   NOAA/ CSIRO
                       Cape Grim, Tasmania, AU (CGO)                    1984-2020    NOAA/ ESRL
                       Cape Grim, Tasmania, AU (CGO)                    1991-2018   NOAA/ CSIRO
                       Cape Grim, Tasmania, AU (CGO)                    1994-2018   NOAA/ Scripps
                 Christmas Island, Republic of Kiribati (CHR)           1984-2020    NOAA/ ESRL
                 Christmas Island, Republic of Kiribati (CHR)           1979-2018   NOAA/ Scripps
               Centro de Investigacion de la Baja Atmosfera, ES
                                     (CIB)                              2009-2020    NOAA/ ESRL
                      Cape Meares, Oregon, US (CMO)                     1982-1997    NOAA/ ESRL
                             Cape Point, SA (CPT)                       2012-2020    NOAA/ ESRL
                           Crozet Island, FR (CRZ)                      1991-2019    NOAA/ ESRL
                           Casey Station, AU (CYA)                      1997-2018   NOAA/ CSIRO
                            Drake Passage (DRP)                         2006-2020    NOAA/ ESRL
                          Dongsha Island, TW (DSI)                      2010-2020    NOAA/ ESRL
                            Easter Island, CL (EIC)                     1994-2019    NOAA/ ESRL
                            Estany Llong, ES (ELL)                      2008-2015   NOAA/ Scripps
                  Estevan Point, British Columbia, CA (ESP)             1993-2002   NOAA/ CSIRO
                          Finokalia, Crete, GR (FIK)                    1999-2017   RAMCES/ LSCE
                        Mariana Islands, Guam (GMI)                     1979-2020    NOAA/ ESRL
                       Dwejra Point, Gozo, MT (GOZ)                     1993-1999    NOAA/ ESRL
                            Gunn Point, AU (GPA)                        2010-2015   NOAA/ CSIRO
                     Halley Station, Antarctica, GB (HBA)               1983-2020    NOAA/ ESRL
                               Hanle, IN (HLE)                          2000-2016   RAMCES/ LSCE
                        Hohenpeissenberg, DE (HPB)                      2006-2020    NOAA/ ESRL
                    Humboldt State University, US (HSU)                 2008-2017    NOAA/ ESRL
                            Hegyhatsal, HU (HUN)                        1993-2020    NOAA/ ESRL
                     Storhofdi, Vestmannaeyjar, IS (ICE)                1992-2020    NOAA/ ESRL
                         Ivittuut, Greenland, DK (IVI)                  2007-2014   RAMCES/ LSCE
                      Tenerife, Canary Islands, ES (IZO)                1991-2020    NOAA/ ESRL

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                      Key Biscayne, Florida, US (KEY)                1979-2020       NOAA/ ESRL
                         Kotelnyj Island, RU (KOT)                   1986-1993      WDCGG/ MGO
                     Cape Kumukahi, Hawaii, US (KUM)                 1979-2020       NOAA/ ESRL
                     Cape Kumukahi, Hawaii, US (KUM)                 1979-2018      NOAA/ Scripps
                           Sary Taukum, KZ (KZD)                     1997-2009       NOAA/ ESRL
                          Plateau Assy, KZ (KZM)                     1997-2009       NOAA/ ESRL
                       Lac La Biche, Alberta, CA (LLB)               2008-2013       NOAA/ ESRL
                              Lulin, TW (LLN)                        2006-2020       NOAA/ ESRL
                           Lampedusa, IT (LMP)                       2006-2020       NOAA/ ESRL
                            Ile grande, FR (LPO)                     2004-2013      RAMCES/ LSCE
                            Mawson, AU (MAA)                         1990-2018      NOAA/ CSIRO
                      Mould Bay, Nunavut, CA (MBC)                   1980-1997       NOAA/ ESRL
                     High Altitude GCOC, Mexico (MEX)                2009-2020       NOAA/ ESRL
                   Mace Head, County Galway, IE (MHD)                1991-2020       NOAA/ ESRL
                   Mace Head, County Galway, IE (MHD)                1996-2017      RAMCES/ LSCE
                      Sand Island, Midway, US (MID)                  1985-2020       NOAA/ ESRL
                           Mt. Kenya, KE (MKN)                       2003-2011       NOAA/ ESRL
                       Mauna Loa, Hawaii, US (MLO)                   1979-2020       NOAA/ ESRL
                       Mauna Loa, Hawaii, US (MLO)                   1991-2018      NOAA/ CSIRO
                       Mauna Loa, Hawaii, US (MLO)                   1979-2018      NOAA/ Scripps
                       Macquarie Island, AU (MQA)                    1991-2018      NOAA/ CSIRO
                  Farol De Mae Luiza Lighthouse, BR (NAT)            2010-2020       NOAA/ ESRL
                  Farol De Mae Luiza Lighthouse, BR (NAT)            2010-2015       NOAA/ IPEN
                            Gobabeb, NA (NMB)                        1997-2020       NOAA/ ESRL
                     Niwot Ridge, Colorado, US (NWR)                 1979-2020       NOAA/ ESRL
                            Obninsk, RU (OBN)                        2004-2009       NOAA/ESRL
                    Olympic Peninsula, WA, USA (OPW)                 1984-1990       NOAA/ ESRL
                         Otway, Victoria, AU (OTA)                   2005-2014      NOAA/ CSIRO
                           Ochsenkopf, DE (OXK)                      2003-2020       NOAA/ ESRL
                Pallas-Sammaltunturi, GAW Station, FI (PAL)          2002-2020       NOAA/ ESRL
                           Pic du Midi, FR (PDM)                     2001-2015      RAMCES/ LSCE
                            Pacific Ocean (POC)                      1987-2017       NOAA/ ESRL
                    Palmer Station, Antarctica, US (PSA)             1979-2019       NOAA/ ESRL
                    Palmer Station, Antarctica, US (PSA)             1996-2018      NOAA/ Scripps
                      Point Arena, California, US (PTA)              1999-2011       NOAA/ ESRL
                  Kermadec Island, Raoul Island, NZ (RK1)            1982-2018      NOAA/ Scripps
                          Ragged Point, BB (RPB)                     1987-2020       NOAA/ ESRL
                           South China Sea (SCS)                     1991-1998       NOAA/ ESRL
                           Shangdianzi, CN (SDZ)                     2009-2015       NOAA/ ESRL
                           Mahe Island, SC (SEY)                     1996-2020       NOAA/ ESRL
                 Southern Great Plains, Oklahoma, US (SGP)           2002-2020       NOAA/ ESRL
                           Shemya Island, Alaska, US (SHM)           1985-2020       NOAA/ ESRL
                 Ship between Ishigaki Island and Hateruma
                              Island, JP (SIH)                       1993-2005   WDCGG/ Tokohu Univ.
                        Shetland, Scotland, GB (SIS)                 1992-2003      NOAA/ CSIRO
                      Tutuila, American Samoa (SMO)                  1981-2018      NOAA/ Scripps

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                      South Pole, Antarctica, US (SPO)              1979-2020    NOAA/ ESRL
                      South Pole, Antarctica, US (SPO)              1991-2018   NOAA/ CSIRO
                      South Pole, Antarctica, US (SPO)              1979-2018   NOAA/ Scripps
                        Ocean Station M, NO (STM)                   1981-2009    NOAA/ ESRL
                             Summit, GL (SUM)                       1997-2019    NOAA/ ESRL
                     Syowa Station, Antarctica, JP (SYO)            1986-2019    NOAA/ ESRL
                           Tacolneston, UK (TAC)                    2014-2016    NOAA/ ESRL
                        Tae-ahn Peninsula, KR (TAP)                 1990-2020    NOAA/ ESRL
                    Trinidad Head, California, US (THD)             2002-2017    NOAA/ ESRL
                Hydrometeorological Observatory of Tiksi, RU
                                   (TIK)                            2011-2018    NOAA/ ESRL
                         Trainou 180m agl, FR (TR3)                 2006-2017   RAMCES/ LSCE
                          Tromelin Island, F (TRM)                  1998-2007   RAMCES/ LSCE
                    Tierra Del Fuego, Ushuaia, AR (USH)             1994-2019    NOAA/ ESRL
                         Wendover, Utah, US (UTA)                   1993-2020    NOAA/ ESRL
                           Ulaan Uul, MN (UUM)                      1992-2020    NOAA/ ESRL
                     Sede Boker, Negev Desert, IL (WIS)             1995-2020    NOAA/ ESRL
                         Mt. Waliguan, CN (WLG)                     1990-2019    NOAA/ ESRL
                 Ny-Alesund, Svalbard, Norway and Sweden
                                   (ZEP)                            1994-2020    NOAA/ ESRL

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3. Evaluation
We have run the LMDz global transport model using the surface fluxes and the initial CO2 state
inferred by the inversion as boundary conditions and now compare it with dependent and
independent observations.

3.1 Fit to the assimilated measurements

Figure 2 shows the posterior root mean square (RMS) and bias of the model-minus-measurement
difference as a function of the corresponding error statistics that we have assigned at each
assimilated data. Measurement error is negligible here and the assigned error statistics refer to
transport model errors and to representation errors (see Section 2). As expected, the inversion fits
the assimilated data within the standard deviation of the assigned observation uncertainty. Biases
are usually less than 1 ppm in absolute value.

Figure 2 - Statistics of the differences between the posterior inversion simulation and individual
assimilated surface measurements as a function of the assigned observation error standard
deviation for each measurement site. The statistics cover the full assimilation period, starting in
1979 and including some of 2020.

3.2 Fit to unassimilated aircraft measurements

Following the approach defined in Chevallier et al. (2019), we now focus on the continuous or flask
dry air mole fraction measurements made by aircraft in the free troposphere. The free troposphere
is simply defined here as the atmospheric layer between 2 and 7 km above sea level (asl). The
measurements are all from ObsPack Globalview+ v5.0 and NRT v5.2 for the period 1979-2020. All
model      equivalents     to     individual      data      are     publicly    available     from

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http://dods.lsce.ipsl.fr/invsat/CAMS/v19r1_obspack5.txt and other may be made on request to
copernicus-support@ecmwf.int.

Figure 3 - Model-minus-observation differences and standard deviations per measurement
program. The number of measurement per site, campaign or program varies between 7 (MRC)
and 1,374,054 (CON). The programs are ranked by increasing mean latitude (North is on the right),
irrespective of their latitudinal coverage (which is large of several tens of degrees for ORC, TOM
and CON). These mean latitudes are shown in the middle of the panel. The statistics cover the
period 1979–2020.

The biases (Figure 3) are within 1 ppm and usually less than 0.5 ppm. There is no obvious latitudinal
trend, and therefore no obvious flaw of the model vertical mixing (Stephens et al., 2007). Standard
deviations vary with the fraction of land masses in a given latitude, as expected. They are about 2
ppm in the northern hemisphere and over the Amazon. When taking all free tropospheric aircraft
data together, the posterior simulation deviates from the measurements by 0.0±1.6 ppm (bias ±
standard deviation), which is within the specification (key performance indicator) of the CAMS CO2
inversion.

Author                                     14 of 20
Copernicus Atmosphere Monitoring Service

3.3 Fit to TCCON GGG2014

Figure 4 shows the misfit statistics for the column retrievals at each TCCON station. For the
comparison, the model has been convolved with the retrieval averaging kernels. All available TCCON
station records are shown for the sake of completeness, but sites Pasadena and JPL are located in
urban areas that are not well represented at the horizontal resolution of the transport model (3.75o
in longitude and 1.875o in latitude): in this case the statistics logically show large negative model
biases. Apart from these urban stations, absolute biases are less than 1 ppm at all sites. In non-
urban sites, the standard deviation is usually about 1 ppm, but it reaches 2.2 ppm at the Zugspitze
mountain site. We note that the model usually fits TCCON retrievals better than the satellite
retrievals presented by Wunch et al. (2017).

Figure 4 - Statistics of the difference between the posterior model and individual TCCON
measurements, ordered by increasing latitude indices in the LMDz model (and without any
specific order when 2 sites have the same latitude index in LMDz, like Paris and Orléans). A site
may appear several times if several instruments have been used over time there. The statistics
cover the period 2004-2019.

3.4 Country and annual scale CO2 budgets

The aggregation of the inversion results at country scale is based on the country mask from
http://themasites.pbl.nl/tridion/en/themasites/hyde/. The resulting annual CO2 budgets for v19r1
(Figure 5) are rather similar to those presented for v18r3 (Chevallier, 2019). We still note an
increased uptake in 2011 for Australia, that is consistent, although smaller in amplitude, with other
studies using different types of measurements (satellite XCO2 retrievals, satellite observations of
vegetation activity, …) that reported an anomalous uptake in Australia during this particular La Niña
episode (Poulter et al. 2013, Detmers et al. 2015, Ma et al. 2016). The impact of previous La Niña
episodes can also be seen in the figure.

Author                                     15 of 20
Copernicus Atmosphere Monitoring Service

Figure 5 - Time series of the total flux (natural+anthropogenic) in v19r1 at annual scale (solid blue) and at
5-yearly scale with its 1-σ uncertainty (dashed blue with the light blue envelop) in large countries or in the
European Union. Additionnally, emissions from land use, land use change and forestry (LULUCF) emission
(green) and from the energy sector (grey) reported to UNFCCC in 2020 are displayed when available. Large
countries are defined by surface areas larger than 3,000,000 km2. Positive values denote sources to the
atmosphere (emissions), while negative values denote storage in soils and vegetation (sink). The model grid
points associated to each country appear in red on the global maps.

Author                                       16 of 20
Copernicus Atmosphere Monitoring Service

Acknowledgements
The author is very grateful to the many people involved in the surface and aircraft CO2 measurements
and in the archiving of these data that were kindly made available to him by various means. TCCON
data were obtained from the TCCON Data Archive, operated by the California Institute of Technology
from the website at http://tccon.ornl.gov/. Obspack data were obtained from
https://www.esrl.noaa.gov/gmd/ccgg/obspack/. Mass fluxes for the LMDz transport model have
been provided by M. Remaud. Some of this work was performed using HPC resources of DRF-CCRT
and of CCRT under allocation A0090102201 made by GENCI (Grand Équipement National de Calcul
Intensif).

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Copernicus Atmosphere Monitoring Service

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Author                                        19 of 20
Copernicus Atmosphere Monitoring Service

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