Daily CO2 flux estimates over Europe from continuous atmospheric measurements: 1, inverse methodology

Abstract. This paper presents an inverse method for inferring trace gas fluxes at high temporal (daily) and spatial (model grid) resolution from continuous atmospheric concentration measurements. The method is designed for regional applications and for use in intensive campaigns. We apply the method to a one month inversion of fluxes over Europe. We show that the information added by the measurements depends critically on the smoothness constraint assumed among the source components. We show that the initial condition affects the inversion for 20 days, provided one has enough observing sites to constrain regional fluxes. We show that the impact of the far-field fluxes grows throughout the inversion and hence a reasonable global flux field is a prerequisite for a regional inversion.

[1]  B. Vanleer,et al.  Towards the ultimate conservative difference scheme. IV. A new approach to numerical convection , 1977 .

[2]  B. V. Leer,et al.  Towards the ultimate conservative difference scheme. IV. A new approach to numerical convection , 1977 .

[3]  Ian G. Enting,et al.  Inverse problems in atmospheric constituent transport , 2002 .

[4]  Time-dependent atmospheric CO2 inversions based on interannually varying tracer transport , 2003 .

[5]  Taro Takahashi,et al.  Towards robust regional estimates of CO2 sources and sinks using atmospheric transport models , 2002, Nature.

[6]  Philippe Ciais,et al.  Simulation of atmospheric CO2 over Europe and western Siberia using the regional scale model REMO , 2002 .

[7]  A. Scott Denning,et al.  Simulations of terrestrial carbon metabolism and atmospheric CO2 in a general circulation model: Part 1: Surface carbon fluxes , 1996 .

[8]  Ian G. Enting,et al.  Data and modelling requirements for CO2 inversions using high-frequency data , 2003 .

[9]  Ian G. Enting,et al.  A synthesis inversion of the concentration and δ 13 C of atmospheric CO 2 , 1995 .

[10]  Frédéric Hourdin,et al.  Sub‐surface nuclear tests monitoring through the CTBT Xenon Network , 2000 .

[11]  Roel Snieder,et al.  Model Estimations Biased by Truncated Expansions: Possible Artifacts in Seismic Tomography , 1996, Science.

[12]  M. Tiedtke A Comprehensive Mass Flux Scheme for Cumulus Parameterization in Large-Scale Models , 1989 .

[13]  Peter G. Hess,et al.  Analysis of tropospheric transport in the Pacific Basin using the adjoint technique , 2000 .

[14]  Olivier Talagrand,et al.  Eulerian backtracking of atmospheric tracers. II: Numerical aspects , 2006 .

[15]  John A. Taylor,et al.  Sources and Sinks of Atmospheric CO2 , 1992 .

[16]  Olivier Talagrand,et al.  Eulerian backtracking of atmospheric tracers. I: Adjoint derivation and parametrization of subgrid‐scale transport , 2006 .

[17]  C. Sweeney,et al.  Global sea-air CO2 flux based on climatological surface ocean pCO2, and seasonal biological and temperature effects , 2002 .

[18]  D. Randall,et al.  Latitudinal gradient of atmospheric CO2 due to seasonal exchange with land biota , 1995, Nature.

[19]  Thomas Kaminski,et al.  On aggregation errors in atmospheric transport inversions , 2001 .

[20]  I. Enting,et al.  Using high temporal frequency data for CO2 inversions , 2002 .

[21]  N. Mahowald,et al.  Inverse methods in global biogeochemical cycles , 2000 .

[22]  Philippe Ciais,et al.  European greenhouse gas emissions estimated from continuous atmospheric measurements and radon 222 at Mace Head, Ireland , 2000 .

[23]  Pang-Ning Tan,et al.  Continental-scale comparisons of terrestrial carbon sinks estimated from satellite data and ecosystem modeling 1982–1998 , 2003 .

[24]  C. Genthon,et al.  Origin of dimethylsulfide, non-sea-salt sulfate, and methanesulfonic acid in eastern Antarctica , 2005 .

[25]  P. Rayner,et al.  Inversion of diurnally varying synthetic CO2: Network optimization for an Australian test case , 2004 .

[26]  D. H. Peterson,et al.  Aspects of climate variability in the Pacific and the western Americas , 1989 .

[27]  Thomas Kaminski,et al.  Assimilating atmospheric data into a terrestrial biosphere model: A case study of the seasonal cycle , 2002 .

[28]  Corinne Le Quéré,et al.  Regional changes in carbon dioxide fluxes of land and oceans since 1980. , 2000, Science.

[29]  Gregg Marland,et al.  A 1° × 1° distribution of carbon dioxide emissions from fossil fuel consumption and cement manufacture, 1950–1990 , 1996 .

[30]  Ian G. Enting,et al.  Reconstructing the recent carbon cycle from atmospheric CO2, δ13C and O2/N2 observations* , 1999 .

[31]  Jorge L. Sarmiento,et al.  On the use of regularization techniques in the inverse modeling of atmospheric carbon dioxide , 1999 .

[32]  Gérard Dedieu,et al.  TURC: A diagnostic model of continental gross primary productivity and net primary productivity , 1996 .

[33]  P. Ciais,et al.  Quantification of carbon dioxide, methane, nitrous oxide and chloroform emissions over Ireland from atmospheric observations at Mace Head , 2002 .

[34]  John C. Lin,et al.  Toward constraining regional‐scale fluxes of CO2 with atmospheric observations over a continent: 2. Analysis of COBRA data using a receptor‐oriented framework , 2003 .

[35]  Gloor,et al.  A Large Terrestrial Carbon Sink in North America Implied by Atmospheric and Oceanic Carbon Dioxide Data and Models , 2022 .