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ECMWF COPERNICUS REPORT Copernicus Atmosphere Monitoring Service Validation report for the CO 2 fluxes estimated by atmospheric inversion, v18r2 Version 1.0 Issued by: CEA / Frédéric Chevallier Date: 11/07/2019 REF.: CAMS73_2018SC1_D73.1.4.1-2018-v1_201907_Validation inversion CO2 fluxes_v1
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Page 1: Validation report for the CO fluxes estimated by ...

ECMWF COPERNICUS REPORT

Copernicus Atmosphere Monitoring Service

Validation report for the CO2 fluxes estimated by atmospheric inversion, v18r2 Version 1.0

Issued by: CEA / Frédéric Chevallier

Date: 11/07/2019

REF.: CAMS73_2018SC1_D73.1.4.1-2018-v1_201907_Validation inversion CO2

fluxes_v1

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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 12

3.1 Fit to the assimilated measurements 12

3.2 Fit to unassimilated aircraft measurements 12

3.3 Fit to TCCON GGG2014 14

3.4 Country and annual scale CO2 budgets Error! Bookmark not defined.

Acknowledgements 16

References 16

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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 2019, and references therein). Here, we synthesize the evaluation of version 18r2 that was released in July 2019. Version 18r2 covers the period between January 1979 and December 2018. It mainly improves compared to the earlier v18r1 shown in Chevallier (2018) by the assimilation of more sites and of data for the third trimester of 20191 and by the use of a more sophisticated transport model. The presentation of the evaluation procedure is primarily based on the fit of the inversion posterior simulation to large databases: ObsPack Globalview+_v4.2.1 of Cooperative Global Atmospheric Data Integration Project (2019), ObsPack NRT v4.4.1 of NOAA Carbon Cycle Group ObsPack Team (2019), ObsPack INPE_RESTRICTED v2.0 of NOAA Carbon Cycle Group ObsPack Team (2018) 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 (EC-JRC/PBL EDGAR version 4.2, CDIAC and GCP), (ii) monthly ocean fluxes (Landschützer et al. 20182), 3-hourly (when available) or monthly biomass burning emissions (GFED 4.1s until 20163 and GFAS

1 Measurements after December 2018 are used to constrain the year 2018 better, but fluxes for those months are not publicly distributed. 2 This database covers the period 1982-2017. We use the monthly values for the years 1982 and 2017 before and after it, respectively. 3 Before 1997, a monthly climatology of this database is used.

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afterwards) and climatological 3-hourly 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 1.9.5.2. 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 18r2 analyzed 40.4 years of surface measurements, from January 1979 to May 2019. The assimilated measurements are surface air-sample measurements of the CO2 dry air mole fraction made at 135 sites over the globe. These data are a carefully-selected subset of four large living 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, 2019),

• the World Data Centre for Greenhouse Gases archive (WDCGG, https://gaw.kishou.go.jp/),

• 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/).

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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 39.8 years, which is documented by the associated Bayesian error statistics.

Figure 1- Location of the assimilated measurements over the globe for each year in v18r2.

Table 1 - List of the continuous sites used in v18r2 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 and also excluding outliers.

Locality (indentifier) Period Source

Alert, Nunavut, CA (ALT) 1988-2018 NOAA/ EC

Amsterdam Island, FR (AMS) 1981-2019 ICOS/ LSCE

Argyle, Maine, US (AMT) 2003-2019 NOAA/ ESRL

Behchoko, Northwest Territories, CA (BCK) 2010-2018 NOAA/ EC

Baring Head, NZ (BHD) 1979-2017 NOAA/ NIWA

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Bratt’s Lake Saskatchewan, CA (BRA) 2009-2018 NOAA/ EC

Barrow, Alaska, US (BRW) 1979-2019 NOAA/ ESRL

Cambridge Bay, Nunavut Territory (CBY) 2012-2018 NOAA/ EC

Candle Lake, Saskatchewan, CA (CDL) 2002-2010 NOAA/ EC

Cesar, Cabauw (CES) 1992-2016 NOAA/ ECN

Churchill, CA (CHL) 2011-2018 NOAA/ EC

Chibougamau, Quebec, CA (CHM) 2007-2011 NOAA/ EC

Monte Cimone, IT (CMN) 1996-2019 WDCGG/ IAFMS

Cape Ochi-ishi, JP (COI) 1995-2017 WDCGG/ NIES

Copley Square (COP) 2012-2017 NOAA/ HU

Chapais, Quebec, CA (CPS) 2012-2018 NOAA/ EC

Cape Point, SA (CPT) 1993-2017 NOAA/ SAWS Carbon in Arctic Reservoirs Vulnerability

Experiment, US (CRV) 2011-2019 NOAA/ ESRL

Egbert, Ontario, CA (EGB) 2005-2016 NOAA/ EC

Estevan Point, British Columbia, CA (ESP) 2009-2018 WDCGG/ EC

Esther, Alberta, CA (EST) 2010-2018 NOAA/ EC

East Trout Lake, Saskatchewan, CA (ETL) 2005-2018 NOAA/ EC

Fraserdale, CA (FSD) 1990-2018 NOAA/ EC

Hateruma, JP (HAT) 1993-2002 WDCGG/ NIES

Hidden Peak (Snowbird), Utah, US (HDP) 2006-2015 NOAA/ NCAR

Heidelberg, DE (HEI) 1996-2017 NOAA/ UHEI-IUP

Harvard Forest, Massachusetts, US (HFM) 2012-2017 NOAA/ HU

Hohenpeissenberg, DE (HPB) 2015-2019 NOAA/ Scripps

Hegyhatsal tower, 115m level, HU (HUN0115) 1994-2017 NOAA/ HMS

Inuvik,Northwest Territories, CA (INU) 2012-2018 NOAA/ EC

Ivittuut, Greenland, DK (IVI) 2011-2014 ICOS/ LSCE

Tenerife, Canary Islands, ES (IZO) 1984-2017 NOAA/ AEMET

Jubany, Antartica, AR (JBN) 1994-2009 WDCGG/ ISAC IAA

Jungfraujoch, CH (JFJ) 2004-2017 NOAA/ Univ. Of Bern

Jungfraujoch, CH (JFJ) 2016-2019 NOAA/ ICOS-ATC

Kasprowy Wierch, High Tatra, PL (KAS) 1996-2017 NOAA/ AGH

K-puszta, HU (KPS) 1981-1999 WDCGG/ HMS

Park Falls, Wisconsin, US (LEF) 2000-2019 NOAA/ ESRL

Lac La Biche, Alberta, CA (LLB) 2000-2018 NOAA/ EC

Lutjewad, NL (LUT) 2006-2017 NOAA/RUG

Mace Head, County Galway, IE (MHD) 1992-2019 ICOS/ LSCE

Mt. Bachelor Observatory, US (MBO) 2012-2019 NOAA/ ESRL

Mauna Loa, Hawaii, US (MLO) 1979-2019 NOAA/ ESRL

Minamitorishima, JP (MNM) 1993-2017 NOAA/ JMA

Niwot Ridge, Colorado, US (NWR) 2005-2015 NOAA/ NCAR

Marys Peak, Oregon, US (OMP) 2007-2017 NOAA/ ESRL

Silverton, Oregon, US (OSI) 2012-2017 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) 2000-2019 NOAA/ FMI

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Plateau Rosa, IT (PRS) 2000-2017 NOAA/ CESI RICERCA

Kermadec Island, Raoul Island, NZ (RK1) 2012-2017 NOAA/ Scripps

Rio Branco, BR (RBA) 2007-2014 NOAA/ INPE

Ridge Hill, UK (RGL) 2012-2017 NOAA/ UNIVBRIS

Ryori, JP (RYO) 1987-2017 NOAA/ JMA

Southern Great Plains, Oklahoma, US (SGP) 2003-2017 NOAA/ LBNL-ARM

Tutuila, American Samoa (SMO) 1979-2019 NOAA/ ESRL

Hyytiala, FI (SMR) 2012-2019 NOAA/ Scripps

Sonnblick, AU (SNB) 1999-2018 WDCGG/ EEA

Shenandoah National Park, US (SNP) 2008-2019 NOAA/ ESRL

Storm Peak Laboratory (SPL) 2005-2015 NOAA/ NCAR

South Pole, Antarctica, US (SPO) 1979-2019 NOAA/ ESRL

Schauinsland, Baden-Wuerttemberg, DE (SSL) 1979-2017 NOAA/ UBA

Syowa Station, Antarctica, JP (SYO) 1984-2017 NOAA/ Tohoku University

Tacolneston, UK (TAC) 2013-2017 NOAA/ ESRL

Turkey Point, Ontario (TPD) 2012-2018 NOAA/ EC

Weybourne, UK (WAO) 2007-2016 NOAA/ UEA

Moody, Texas, US (WKT) 2003-2018 NOAAA/ ESRL

Sable Island, Nova Scotia (WSA) 1992-2018 NOAA/ EC

Yonagunijima, JP (YON) 1997-2017 NOAA/ JMA Ny-Alesund, Svalbard, Norway and Sweden

(ZEP) 1995-2019 NOAA/ EC

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) 1985-2019 NOAA/ ESRL

Alert, Nunavut, CA (ALT) 1985-2017 NOAA/ Scripps

Alert, Nunavut, CA (ALT) 1991-2017 NOAA/ CSIRO

Amsterdam Island, FR (AMS) 1982-1990 NOAA/ ESRL

Anmyeon-do, KR (AMY) 2013-2018 NOAA/ ESRL

Ascension Island, GB (ASC) 1979-2019 NOAA/ ESRL

Assekrem, DZ (ASK) 1995-2019 NOAA/ ESRL

St. Croix, Virgin Islands, USA (AVI) 1979-1990 NOAA/ ESRL

Terceira Island, Azores, PT (AZR) 1979-2018 NOAA/ ESRL

Baltic Sea, PL (BAL) 1992-2011 NOAA/ ESRL

Baja California Sur, MX (BCS) 1997-2009 NOAA/ Scripps

Bering Island, RU (BER) 1986-1993 WDCGG/ MGO

Baring Head, NZ (BHD) 1999-2018 NOAA/ ESRL

Baring Head, NZ (BHD) 1979-2017 NOAA/ Scripps

St. Davids Head, Bermuda, GB (BME) 1989-2009 NOAA/ ESRL

Tudor Hill, Bermuda, GB (BMW) 1989-2019 NOAA/ ESRL

Barrow, Alaska, US (BRW) 1979-2019 NOAA/ ESRL

Barrow, Alaska, US (BRW) 1979-2017 NOAA/ Scripps

Cold Bay, Alaska, US (CBA) 1979-2019 NOAA/ ESRL

Cold Bay, Alaska, US (CBA) 1995-2017 NOAA/ Scripps

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Cape Ferguson, Queensland, AU (CFA) 1991/2017 NOAA/ CSIRO

Cape Grim, Tasmania, AU (CGO) 1984-2019 NOAA/ ESRL

Cape Grim, Tasmania, AU (CGO) 1991-2017 NOAA/ CSIRO

Cape Grim, Tasmania, AU (CGO) 1994-2017 NOAA/ Scripps

Christmas Island, Republic of Kiribati (CHR) 1984-2019 NOAA/ ESRL

Christmas Island, Republic of Kiribati (CHR) 1979-2016 NOAA/ Scripps Centro de Investigacion de la Baja Atmosfera, ES

(CIB) 2009-2019 NOAA/ ESRL

Cape Meares, Oregon, US (CMO) 1982-1997 NOAA/ ESRL

Cape Point, SA (CPT) 2012-2019 NOAA/ ESRL

Crozet Island, FR (CRZ) 1991-2018 NOAA/ ESRL

Casey Station, AU (CYA) 1997-2017 NOAA/ CSIRO

Drake Passage (DRP) 2006-2019 NOAA/ ESRL

Dongsha Island, TW (DSI) 2010-2019 NOAA/ ESRL

Easter Island, CL (EIC) 1994-2018 NOAA/ ESRL

Estany Llong, ES (ELL) 2008-2015 NOAA/ Scripps

Estevan Point, British Columbia, CA (ESP) 1993-2001 NOAA/ CSIRO

Mariana Islands, Guam (GMI) 1979-2019 NOAA/ ESRL

Dwejra Point, Gozo, MT (GOZ) 1993-1998 NOAA/ ESRL

Gunn Point, AU (GPA) 2010-2015 NOAA/ CSIRO

Halley Station, Antarctica, GB (HBA) 1983-2018 NOAA/ ESRL

Hohenpeissenberg, DE (HPB) 2006-2019 NOAA/ ESRL

Humboldt State University, US (HSU) 2008-2017 NOAA/ ESRL

Hegyhatsal, HU (HUN) 1993-2019 NOAA/ ESRL

Storhofdi, Vestmannaeyjar, IS (ICE) 1992-2019 NOAA/ ESRL

Tenerife, Canary Islands, ES (IZO) 1991-2019 NOAA/ ESRL

Key Biscayne, Florida, US (KEY) 1979-2019 NOAA/ ESRL

Kotelny Island, RU (KOT) 1986-1993 WDCGG/ MGO

Cape Kumukahi, Hawaii, US (KUM) 1979-2019 NOAA/ ESRL

Cape Kumukahi, Hawaii, US (KUM) 1979-2017 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) 2006-2019 NOAA/ ESRL

Lampedusa, IT (LMP) 2006-2019 NOAA/ ESRL

Mawson, AU (MAA) 1990-2017 NOAA/ CSIRO

Mould Bay, Nunavut, CA (MBC) 1980-1997 NOAA/ ESRL

High Altitude GCOC, Mexico (MEX) 2009-2019 NOAA/ ESRL

Mace Head, County Galway, IE (MHD) 1991-2018 NOAA/ ESRL

Sand Island, Midway, US (MID) 1985-2019 NOAA/ ESRL

Mt. Kenya, KE (MKN) 2003-2011 NOAA/ ESRL

Mauna Loa, Hawaii, US (MLO) 1979-2019 NOAA/ ESRL

Mauna Loa, Hawaii, US (MLO) 1991-2017 NOAA/ CSIRO

Mauna Loa, Hawaii, US (MLO) 1979-2017 NOAA/ Scripps

Macquarie Island, AU (MQA) 1991-2017 NOAA/ CSIRO

Farol De Mae Luiza Lighthouse, BR (NAT) 2010-2018 NOAA/ ESRL

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Farol De Mae Luiza Lighthouse, BR (NAT) 2010-2019 NOAA/ IPEN

Gobabeb, NA (NMB) 1997-2019 NOAA/ ESRL

Niwot Ridge, Colorado, US (NWR) 1979-2019 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) 2003-2019 NOAA/ ESRL

Pallas-Sammaltunturi, GAW Station, FI (PAL) 2002-2019 NOAA/ ESRL

Pacific Ocean (POC) 1987-2017 NOAA/ ESRL

Palmer Station, Antarctica, US (PSA) 1979-2019 NOAA/ ESRL

Palmer Station, Antarctica, US (PSA) 1996-2017 NOAA/ Scripps

Point Arena, California, US (PTA) 1999-2011 NOAA/ ESRL

Kermadec Island, NZ (RK1) 1982-2016 NOAA/ Scripps

Ragged Point, BB (RPB) 1987-2019 NOAA/ ESRL

South China Sea (SCS) 1991-1998 NOAA/ ESRL

Shangdianzi, CN (SDZ) 2009-2015 NOAA/ ESRL

Mahe Island, SC (SEY) 1996-2019 NOAA/ ESRL

Southern Great Plains, Oklahoma, US (SGP) 2002-2019 NOAA/ ESRL

Shemya Island, Alaska, US (SHM) 1985-2019 NOAA/ ESRL Ship between Ishigaki Island and Hateruma

Island, JP (SIH) 1993-2005 WDCGG/ Tohoku University

Shetland, Scotland, GB (SIS) 1992-2003 NOAA/ CSIRO

Tutuila, American Samoa (SMO) 1981-2017 NOAA/ Scripps

South Pole, Antarctica, US (SPO) 1979-2019 NOAA/ ESRL

South Pole, Antarctica, US (SPO) 1991-2017 NOAA/ CSIRO

South Pole, Antarctica, US (SPO) 1979-2016 NOAA/ Scripps

Ocean Station M, NO (STM) 1981-2009 NOAA/ ESRL

Summit, GL (SUM) 1997-2018 NOAA/ ESRL

Syowa Station, Antarctica, JP (SYO) 1986-2017 NOAA/ ESRL

Tacolneston, UK (TAC) 2014-2016 NOAA/ ESRL

Tae-ahn Peninsula, KR (TAP) 1990-2019 NOAA/ ESRL

Trinidad Head, California, US (THD) 2002-2017 NOAA/ ESRL Hydrometeorological Observatory of Tiksi, RU

(TIK) 2011-2018 NOAA/ ESRL

Tierra Del Fuego, Ushuaia, AR (USH) 1994-2019 NOAA/ ESRL

Wendover, Utah, US (UTA) 1993-2019 NOAA/ ESRL

Ulaan Uul, MN (UUM) 1992-2019 NOAA/ ESRL

Sede Boker, Negev Desert, IL (WIS) 1995-2019 NOAA/ ESRL

Mt. Waliguan, CN (WLG) 1990-2018 NOAA/ ESRL Ny-Alesund, Svalbard, Norway and Sweden

(ZEP) 1994-2019 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 the first months of 2019.

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+ v4.2.1, NRT v4.4.1 and INPE_RESTRICTED v2.0 for the period 1979-2018. All model equivalents to individual Globalview+_v4.0 data are publicly

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available from http://dods.lsce.ipsl.fr/invsat/CAMS/v18r2_GV+4.2.1.txt or on request to [email protected]. Figure 3 - Model-minus-observation absolute differences and standard deviations per measurement program. The number of measurement per site, campaign or program varies between 7 (MRC) and 1,197,566 (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 1979–2018.

The biases (Figure 3) are within 0.9 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±1.7 ppm (bias ± standard deviation), which is within the specification (key performance indicator) of the CAMS CO2 inversion.

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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, JPL and Paris 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 negative model biases larger than -1 ppm. 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 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. A site may appear several times if several instruments have been used over time there. The statistics cover the period 2004-2018.

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 v18r2 (Figure 5) are rather similar to those presented for v18r1 (Chevallier, 2018). 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).

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Figure 5 - Time series of the total flux (natural+anthropogenic) in v18r2 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 2019 are displayed when available. Large countries are defined by surface areas larger than 4,000,000 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.

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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 DSM-CCRT and of CCRT under allocation A0050102201 made by GENCI (Grand Équipement National de Calcul Intensif).

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of the Orbiting Carbon Observatory-2 (OCO-2) XCO2 measurements with TCCON, Atmos. Meas. Tech., 10, 2209-2238, https://doi.org/10.5194/amt-10-2209-2017, 2017.

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