<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd">
<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" article-type="research-article" dtd-version="3.0" xml:lang="en">
<front>
<journal-meta>
<journal-id journal-id-type="publisher">ACPD</journal-id>
<journal-title-group>
<journal-title>Atmospheric Chemistry and Physics Discussions</journal-title>
<abbrev-journal-title abbrev-type="publisher">ACPD</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1680-7375</issn>
<publisher><publisher-name>Copernicus GmbH</publisher-name>
<publisher-loc>GÃ¶ttingen, Germany</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.5194/acpd-11-3355-2011</article-id>
<title-group>
<article-title>A comparison of different inverse carbon flux estimation approaches for application on a regional domain</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Tolk</surname>
<given-names>L. F.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Dolman</surname>
<given-names>A. J.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Meesters</surname>
<given-names>A. G. C. A.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Peters</surname>
<given-names>W.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>Vrije Universiteit Amsterdam, Faculty of Earth and Life Science,  Amsterdam, The Netherlands</addr-line>
</aff>
<aff id="aff2">
<label>2</label>
<addr-line>Wageningen University, Dept. of  Meteorology and Air Quality, Wageningen, The Netherlands</addr-line>
</aff>
<pub-date pub-type="epub">
<day>31</day>
<month>01</month>
<year>2011</year>
</pub-date>
<volume>11</volume>
<issue>1</issue>
<fpage>3355</fpage>
<lpage>3398</lpage>
<permissions>
<license xlink:type="simple">
<license-p>This is an open-access article ditributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.</license-p>
</license>
</permissions>
<self-uri xlink:href="http://www.atmos-chem-phys-discuss.net/11/3355/2011/acpd-11-3355-2011.html">This article is available from http://www.atmos-chem-phys-discuss.net/11/3355/2011/acpd-11-3355-2011.html</self-uri>
<self-uri xlink:href="http://www.atmos-chem-phys-discuss.net/11/3355/2011/acpd-11-3355-2011.pdf">The full text article is available as a PDF file from http://www.atmos-chem-phys-discuss.net/11/3355/2011/acpd-11-3355-2011.pdf</self-uri>
<abstract>
<p>We have implemented six different inverse carbon flux
      estimation methods in a regional carbon dioxide (CO&lt;sub&gt;2&lt;/sub&gt;)
      flux modeling system for The Netherlands. The system consists
      of the Regional Atmospheric Mesoscale Modeling System (RAMS)
      coupled to a simple carbon flux scheme which is run in
      a coupled fashion on relatively high resolution
      (10 km). Using an Ensemble Kalman filter approach we try to
      estimate spatiotemporal carbon exchange patterns from
      atmospheric CO&lt;sub&gt;2&lt;/sub&gt; mole fractions over The Netherlands
      for a two week period in spring 2008. The focus of this work
      is the different strategies that can be employed to turn
      first-guess fluxes into optimal ones, which is known as
      a fundamental design choice that can affect the outcome of an
      inversion significantly.
&lt;br&gt;&lt;/br&gt;
      Different state-of-the-art approaches with respect to the
      estimation of net ecosystem exchange (NEE) are compared
      quantitatively: (1) where NEE is scaled by one linear
      multiplication factor per land-use type, (2) where the same is
      done for photosynthesis (GPP) and respiration (R) separately
      with varying assumptions for the correlation structure, (3)
      where we solve for those same multiplication factors but now
      for each grid box, and (4) where we optimize physical
      parameters of the underlying biosphere model for each land-use
      type. The pattern to be retrieved in this pseudo-data
      experiment is different in nearly all aspects from the
      first-guess fluxes, including the structure of the underlying
      flux model, reflecting the difference between the modeled
      fluxes and the fluxes in the real world. This makes our study
      a stringent test of the performance of these methods, which
      are currently widely used in carbon cycle inverse studies.
&lt;br&gt;&lt;/br&gt;
      Our results show that all methods struggle to retrieve the
      spatiotemporal NEE distribution, and none of them succeeds in
      finding accurate domain averaged NEE with correct spatial and
      temporal behavior. The main cause is the difference between
      the structures of the first-guess and true CO&lt;sub&gt;2&lt;/sub&gt; flux
      models used. Most methods display overconfidence in their
      estimate as a result. A commonly used daytime-only sampling
      scheme in the transport model leads to compensating biases in
      separate GPP and R scaling factors that are readily visible in
      the nighttime mixing ratio predictions of these systems.
&lt;br&gt;&lt;/br&gt;
      Overall, we recommend that the estimate of NEE scaling factors
      should not be used in this regional setup, while estimating
      bias factors for GPP and R for every grid box works relatively
      well. The biosphere parameter inversion is best at
      simultaneously producing space and time patterns of fluxes and
      CO&lt;sub&gt;2&lt;/sub&gt; mixing ratios, but non-linearity may significantly
      reduce the information content in the inversion if true
      parameter values are far from the prior estimate. Our results
      suggest that a carefully designed biosphere model parameter
      inversion or a pixel inversion of the respiration and GPP
      multiplication factors are the best tools to optimize
      spatiotemporal patterns of NEE.</p>
</abstract>
<counts><page-count count="44"/></counts>
</article-meta>
</front>
<body/>
<back>
<ref-list>
<title>References</title>
<ref id="ref1">
<label>1</label><mixed-citation publication-type="other" xlink:type="simple"> Ahmadov,~R., Gerbig,~C., Kretschmer,~R., KÃ¶rner,~S., RÃ¶denbeck,~C., Bousquet,~P., and Ramonet,~M.: Comparing high resolution WRF-VPRM simulations and two global \chemCO_2 transport models with coastal tower measurements of \chemCO_2, Biogeosciences, 6, 807â€“817, doi:10.5194/bg-6-807-2009, 2009. </mixed-citation>
</ref>
<ref id="ref2">
<label>2</label><mixed-citation publication-type="other" xlink:type="simple"> Arneth,~A., Lloyd,~J., Santruckova,~H., Bird,~M., Grigoryev,~S., Kalaschnikov,~Y N., Gleixner,~G., and Schulze,~E.-D.: Response of Central Siberian Scots Pine to soil water deficit and long-term trends in atmospheric \chemCO_2 concentration, Global Biogeochem. Cy., 16, 1005, \doi10.1029/2000GB001374,2002, 2002. </mixed-citation>
</ref>
<ref id="ref3">
<label>3</label><mixed-citation publication-type="other" xlink:type="simple"> Baldocchi,~D., Falge,~E., Gu,~L., Olson,~R., Hollinger,~D., Running,~S., Anthoni,~P., Bernhofer,~C., Davis,~K., Evans,~R., Fuentes,~J., Goldstein,~A., Katul,~G., Law,~B., Lee,~X., Mahli,~Y., Meyers,~T., Munger,~W., Oechel,~W., Paw,~K T., Pilegaard,~K., Schmid,~H P., Valentini,~R., Verma,~S., Vesala,~T., Wilson,~K., and Wofsy,~S.: FLUXNET: a~new tool to study the temporal and spatial variability of ecosystem-scale carbon dioxide, water vapor, and energy flux densities, B. Am. Meteorol. Soc., 82, 2415â€“2434, \doi10.1175/1520-0477, 2001. </mixed-citation>
</ref>
<ref id="ref4">
<label>4</label><mixed-citation publication-type="other" xlink:type="simple"> Bousquet,~P., Peylin,~P., Ciais,~P., Le QuÃ©rÃ©,~C., Friedlingstein,~P., and Tans,~P P.: Regional changes in carbon dioxide fluxes of land and oceans since 1980, Science, 290, 1342â€“1346, 2000. </mixed-citation>
</ref>
<ref id="ref5">
<label>5</label><mixed-citation publication-type="other" xlink:type="simple"> von Caemmerer,~S. and Farquhar,~G D.: Some relationships between the bio-chemistry of photosynthesis and the gas exchange of leaves, Planta, 153, 376â€“387, 1981. </mixed-citation>
</ref>
<ref id="ref6">
<label>6</label><mixed-citation publication-type="other" xlink:type="simple"> %Carouge,~C., Rayner,~P J., Peylin,~P., Bousquet,~P., Chevallier,~F., and Ciais,~P.: What can we learn from European continuous atmospheric \chemCO_2 measurements to quantify regional fluxes â€“ Part II: Sensitivity of flux accuracy to inverse setup, Atmospheric Chemistry and Physics, 10, 3119â€“3129, 2010. % ### SELF-REFERENCE ### Carouge, C., Rayner, P. J., Peylin, P., Bousquet, P., Chevallier, F., and Ciais, P.: What can we learn from European continuous atmospheric \chemCO_2 measurements to quantify regional fluxes â€“ Part 2: Sensitivity of flux accuracy to inverse setup, Atmos. Chem. Phys., 10, 3119â€“3129, doi:10.5194/acp-10-3119-2010, 2010. </mixed-citation>
</ref>
<ref id="ref7">
<label>7</label><mixed-citation publication-type="other" xlink:type="simple"> Carvalhais,~N., Reichstein,~M., Seixas,~J., Collatz,~G J., Pereira,~J S., Berbigier,~P., Carrara,~A., Granier,~A., Montagnani,~L., Papale,~D., and Rambal, S., Jos$\acute\rm e$ Sanz M., Valentini, R.: Implications of the carbon cycle steady state assumption for biogeochemical modeling performance and inverse parameter retrieval, Global Biogeochem. Cy., 22, GB2007, doi:10.1029/2007GB003033, 2008.  </mixed-citation>
</ref>
<ref id="ref8">
<label>8</label><mixed-citation publication-type="other" xlink:type="simple"> Ciais,~P., Rayner,~P., Chevallier,~F., Bousquet,~P., Logan,~M., Peylin,~P., and Ramonet,~M.: Atmospheric inversions for estimating \chemCO_2 fluxes: methods and perspectives, Climatic Change, 103, 69â€“92, \doi10.1007/s10584-010-9909-3, 2010. </mixed-citation>
</ref>
<ref id="ref9">
<label>9</label><mixed-citation publication-type="other" xlink:type="simple"> Collatz,~G., Ball,~J., Grivet,~C., and Berry,~J.: Physiological and environmental regulation of stomatal conductance, photosynthesis and transpiration: a~model that includes a~laminar boundary layer, Agr. Forest Meteorol., 54, 107â€“136, 1991. </mixed-citation>
</ref>
<ref id="ref10">
<label>10</label><mixed-citation publication-type="other" xlink:type="simple"> Farquhar,~G D., Caemmerer,~S V., and Berry,~J A.: A~biochemical model of photosynthetic \chemCO_2 assimilation in leaves of C 3 species, Planta, 149, 78â€“90, 1980. </mixed-citation>
</ref>
<ref id="ref11">
<label>11</label><mixed-citation publication-type="other" xlink:type="simple"> %Gerbig,~C., Lin,~J C., Munger,~J W., and Wofsy,~S C.: What can tracer observations in the continental boundary layer tell us about surface-atmosphere fluxes?, Atmospheric Chemistry and Physics, 6, 539â€“554, 2006. % ### SELF-REFERENCE ### Gerbig, C., Lin, J. C., Munger, J. W., and Wofsy, S. C.: What can tracer observations in the continental boundary layer tell us about surface-atmosphere fluxes?, Atmos. Chem. Phys., 6, 539â€“554, doi:10.5194/acp-6-539-2006, 2006.  </mixed-citation>
</ref>
<ref id="ref12">
<label>12</label><mixed-citation publication-type="other" xlink:type="simple"> %Gerbig,~C., KÃ¶rner,~S., and Lin,~J C.: Vertical mixing in atmospheric tracer transport models: error characterization and propagation, Atmospheric Chemistry and Physics, 8, 591â€“602, 2008. % ### SELF-REFERENCE ### Gerbig, C., KÃ¶rner, S., and Lin, J. C.: Vertical mixing in atmospheric tracer transport models: error characterization and propagation, Atmos. Chem. Phys., 8, 591â€“602, doi:10.5194/acp-8-591-2008, 2008. </mixed-citation>
</ref>
<ref id="ref13">
<label>13</label><mixed-citation publication-type="other" xlink:type="simple"> %Gourdji,~S M., Hirsch,~A I., Mueller,~K L., Yadav,~V., Andrews,~A E., and Michalak,~A M.: Regional-scale geostatistical inverse modeling of North American \chemCO_2 fluxes: a~synthetic data study, Atmos. Chem. Phys, 10, 6151â€“6167, 2010. % ### SELF-REFERENCE ### Gourdji, S. M., Hirsch, A. I., Mueller, K. L., Yadav, V., Andrews, A. E., and Michalak, A. M.: Regional-scale geostatistical inverse modeling of North American \chemCO_2 fluxes: a synthetic data study, Atmos. Chem. Phys., 10, 6151â€“6167, doi:10.5194/acp-10-6151-2010, 2010. </mixed-citation>
</ref>
<ref id="ref14">
<label>14</label><mixed-citation publication-type="other" xlink:type="simple"> Groenendijk,~M., Dolman,~A J., van der Molen,~M K., Leuning,~R., Arneth,~A., Delpierre,~N., Gash,~J H C., Lindroth,~A., Richardson,~A D., Verbeeck,~H., and Wohlfahrt,~G.: Assessing parameter variability in a~photosynthesis model within and between plant functional types using global fluxnet eddy covariance data, Agr. Forest Meteorol. 151(15), 22â€“38, ISSN 0168-1923, doi:10.1016/j.agrformet.2010.08.013. </mixed-citation>
</ref>
<ref id="ref15">
<label>15</label><mixed-citation publication-type="other" xlink:type="simple"> Gurney,~K R., Law,~R M., Denning,~A S., Rayner,~P J., Baker,~D., Bousquet,~P., Bruhwiler,~L., Chen,~Y H., Ciais,~P., Fan,~S M., Fung, I. Y., Gloor, M., Heimann, M., Higuchi, K. A. Z., John, J., Kowalczyk, E. V. A., Maki, T., Maksyutov, S., Peylin, P., Prather, M., Pak, B. C., Sarmiento, J., Taguchi, S., Takahashi, T., and Yuen, C.-W.: TransCom 3 \chemCO_2 inversion intercomparison: 1. annual mean control results and sensitivity to transport and prior flux information, Tellus B, 55, 555â€“579, 2003. </mixed-citation>
</ref>
<ref id="ref16">
<label>16</label><mixed-citation publication-type="other" xlink:type="simple"> Kaminski,~T., Rayner,~P J., Heimann,~M., and Enting,~I.: On aggregation errors in atmospheric transport inversions, J. Geophys. Res., 106(D5), 4703â€“4715, 2001. </mixed-citation>
</ref>
<ref id="ref17">
<label>17</label><mixed-citation publication-type="other" xlink:type="simple"> Law,~R M., Peters,~W., RÃ¶denbeck,~C., Aulagnier,~C., Baker,~I., Bergmann, ~D J., Bousquet,~P., Brandt,~J., Bruhwiler,~L., Cameron-Smith,~P J., Christensen, J. H., Delage, F., Denning, A. S., Fan, S., Geels, C., Houweling, S., Imasu, R., Karstens, U., Kawa, S. R., Kleist, J., Krol, M. C., Lin, S. J., Lokupitiya, R., Maki, T., Maksyutov, S., Niwa, Y., Onishi, R., Parazoo, N., Patra, P. K., Pieterse, G., Rivier, L., Satoh, M., Serrar, S., Taguchi, S., Takigawa, M., Vautard, R., Vermeulen, A. T., and Zhu, Z.: TransCom model simulations of hourly atmospheric \chemCO_2: experimental overview and diurnal cycle results for 2002, Global Biogeochem. Cy., 22, GB3009, doi:10.1029/2007GB003050, 2008. </mixed-citation>
</ref>
<ref id="ref18">
<label>18</label><mixed-citation publication-type="other" xlink:type="simple"> Lloyd,~J. and Taylor,~J A.: On the temperature dependence of soil respiration, Funct. Ecol., 8, 315â€“323, 1994. </mixed-citation>
</ref>
<ref id="ref19">
<label>19</label><mixed-citation publication-type="other" xlink:type="simple"> Lokupitiya,~R S., Zupanski,~D., Denning,~A S., Kawa,~S R., Gurney,~K R., and Zupanski,~M.: Estimation of global \chemCO_2 fluxes at regional scale using the maximum likelihood ensemble filter, J. Geophys. Res., 113, D20110, doi:10.1029/2003JD004422, 2008. </mixed-citation>
</ref>
<ref id="ref20">
<label>20</label><mixed-citation publication-type="other" xlink:type="simple"> Meesters,~A G C A., Tolk,~L F., and Dolman,~A J.: Mass conservation above slopes in the Regional Atmospheric Modelling System (RAMS), Environ. Fluid Mech., 8, 239â€“248, 2008. </mixed-citation>
</ref>
<ref id="ref21">
<label>21</label><mixed-citation publication-type="other" xlink:type="simple"> Michalak,~A M., Bruhwiler,~L., and Tans,~P P.: A~geostatistical approach to surface flux estimation of atmospheric trace gases, J. Geophys. Res., 109, D14109, doi:10.1029/2007JD009679, 2004. </mixed-citation>
</ref>
<ref id="ref22">
<label>22</label><mixed-citation publication-type="other" xlink:type="simple"> Mueller,~K L., Gourdji,~S M., Michalak,~A M.: Global monthly averaged \chemCO_2 fluxes recovered using a~geostatistical inverse modeling approach: 1. results using atmospheric measurements, J. Geophys. Res.-Atmos., 113(D21), D21114, doi:10.1029/2003JD004422, 2008. </mixed-citation>
</ref>
<ref id="ref23">
<label>23</label><mixed-citation publication-type="other" xlink:type="simple"> Papale,~D. and Valentini,~R.: A~new assessment of European forests carbon exchanges by eddy fluxes and artificial neural network spatialization, Glob. Change Biol., 9, 525â€“535, 2003. </mixed-citation>
</ref>
<ref id="ref24">
<label>24</label><mixed-citation publication-type="other" xlink:type="simple"> Patil,~D J., Hunt,~B R., Kalnay,~E., Yorke,~J A., and Ott,~E.: Local low dimensionality of atmospheric dynamics, Phys. Rev. Lett., 86, 5878â€“5881, 2001. </mixed-citation>
</ref>
<ref id="ref25">
<label>25</label><mixed-citation publication-type="other" xlink:type="simple"> Peters,~W., Miller,~J B., Whitaker,~J., Denning,~A S., Hirsch,~A., Krol,~M C., Zupanski,~D., Bruhwiler,~L., and Tans,~P P.: An ensemble data assimilation system to estimate \chemCO_2 surface fluxes from atmospheric trace gas observations,~J. Geophys. Res., 110, D24304, doi:10.1029/2005JD006157, 2005. </mixed-citation>
</ref>
<ref id="ref26">
<label>26</label><mixed-citation publication-type="other" xlink:type="simple"> Peters,~W., Jacobson,~A R., Sweeney,~C., Andrews,~A E., Conway,~T J., Masarie,~K., Miller,~J B., Bruhwiler,~L M P., Petron,~G., and Hirsch,~A I.: An atmospheric perspective on North American carbon dioxide exchange: CarbonTracker, P. Natl. Acad. Sci. USA, 104, 18925â€“18930, 2007. </mixed-citation>
</ref>
<ref id="ref27">
<label>27</label><mixed-citation publication-type="other" xlink:type="simple"> Peters,~W., Krol,~M C., van der Werf,~G R., Houweling,~S., Jones,~C D., Hughes,~J., Scheafer,~K., Masarie,~K A., Jacobson,~A R., Miller,~J B., Cho,~C H., Ramonet, M., Schmidt, M., Ciattaglia, L., Apadula, F., Heltai, D., Meinhardt, F., Di Sarra, A. G., Piacentino, S., Sferlazzo, D., Aalto, T., Hatakka, J., StrÖM, J., Haszpra, L., Meijer, H. A. J., Van Der Laan, S., Neubert, R. E. M., Jordan, A., RodÓ, X., MorguÍ, J. A., Vermeulen, A. T., Popa, E., Rozanski, K., Zimnoch, M., Manning, A. C., Leuenberger, M., Uglietti, C., Dolman, A. J., Ciais, P., Heimann, M., and Tans, P. P.: Seven years of recent European net terrestrial carbon dioxide exchange constrained by atmospheric observations, Glob. Change Biol., 16, 1317â€“1337, 2010. </mixed-citation>
</ref>
<ref id="ref28">
<label>28</label><mixed-citation publication-type="other" xlink:type="simple"> %Peylin,~P., Rayner,~P., Bousquet,~P., Carouge,~C., Hourdin,~F., Heinrich,~P., and Ciais,~P.: Daily \chemCO_2 flux estimates over Europe from continuous atmospheric measurements: 1. inverse methodology, Atmos. Chem. Phys, 5, 3173â€“3186, 2005. % ### SELF-REFERENCE ### Peylin, P., Rayner, P. J., Bousquet, P., Carouge, C., Hourdin, F., Heinrich, P., Ciais, P., and AEROCARB contributors: Daily \chemCO_2 flux estimates over Europe from continuous atmospheric measurements: 1, inverse methodology, Atmos. Chem. Phys., 5, 3173â€“3186, doi:10.5194/acp-5-3173-2005, 2005.  </mixed-citation>
</ref>
<ref id="ref29">
<label>29</label><mixed-citation publication-type="other" xlink:type="simple"> Pielke,~R A., Cotton,~W R., Walko,~R L., Tremback,~C J., Lyons,~W A., Grasso,~L D., Nicholls,~M E., Moran,~M D., Wesley,~D A., Lee,~T J., and Copeland,~J H.: A~comprehensive meteorological modeling system RAMS, Meteorol. Atmos. Phys., 49, 69â€“91, 1992. </mixed-citation>
</ref>
<ref id="ref30">
<label>30</label><mixed-citation publication-type="other" xlink:type="simple"> Pieterse,~G., Bleeker,~A., Vermeulen,~A T., Wu,~Y., and Erisman,~J W.: High resolution modelling of atmosphere canopy exchange of acidifying and eutrophying components and carbon dioxide for European forests, Tellus B, 59, 412â€“424, 2007. </mixed-citation>
</ref>
<ref id="ref31">
<label>31</label><mixed-citation publication-type="other" xlink:type="simple"> Rayner,~P J., Scholze,~M., Knorr,~W., Kaminski,~T., Giering,~R., and Widmann,~H.: Two decades of terrestrial carbon fluxes from a~carbon cycle data assimilation system (CCDAS), Global Biogeochem. Cy., 19, GB2026, doi:10.1029/2004GB002254, 2005. </mixed-citation>
</ref>
<ref id="ref32">
<label>32</label><mixed-citation publication-type="other" xlink:type="simple"> %RÃ¶denbeck,~C., Houweling,~S., Gloor,~M., and Heimann,~M.: \chemCO_2 flux history 1982â€“2001 inferred from atmospheric data using a~global inversion of atmospheric transport, Atmospheric Chemistry and Physics, 3, 1919â€“1964, 2003. % ### SELF-REFERENCE ### RÃ¶denbeck, C., Houweling, S., Gloor, M., and Heimann, M.: \chemCO_2 flux history 1982â€“2001 inferred from atmospheric data using a global inversion of atmospheric transport, Atmos. Chem. Phys., 3, 1919â€“1964, doi:10.5194/acp-3-1919-2003, 2003. </mixed-citation>
</ref>
<ref id="ref33">
<label>33</label><mixed-citation publication-type="other" xlink:type="simple"> RÃ¼diger,~C., Albergel,~C., Mahfouf,~J F., Calvet,~J C., and Walker,~J P.: Evaluation of the observation operator Jacobian for leaf area index data assimilation with an extended Kalman filter, J. Geophys. Res., 115, D09111, doi:10.1029/2009JD012912, 2010. </mixed-citation>
</ref>
<ref id="ref34">
<label>34</label><mixed-citation publication-type="other" xlink:type="simple"> Scholze,~M., Kaminski,~T., Rayner,~P., Knorr,~W., and Giering,~R.: Propagating uncertainty through prognostic carbon cycle data assimilation system simulations,~J. Geophys. Res., 112, D17305, 2007. </mixed-citation>
</ref>
<ref id="ref35">
<label>35</label><mixed-citation publication-type="other" xlink:type="simple"> Schuh,~A E., Denning,~A S., Uliasz,~M., and Corbin,~K D.: Seeing the forest through the trees: recovering large-scale carbon flux biases in the midst of small-scale variability, J. Geophys. Res., 114, G03007, doi:10.1029/2007JD008642, 2009. </mixed-citation>
</ref>
<ref id="ref36">
<label>36</label><mixed-citation publication-type="other" xlink:type="simple"> Sellers,~P., Randall,~D., Collatz,~G., Berry,~J., Field,~C., Dazlich,~D., Zhang,~C., Collelo,~G., and Bounoua,~L.: A~revised land surface parameterization (SiB2) for atmospheric GCMs. Part I: model formulation, J. Climate, 9, 676â€“705, 1996. </mixed-citation>
</ref>
<ref id="ref37">
<label>37</label><mixed-citation publication-type="other" xlink:type="simple"> Steeneveld,~G J., Mauritsen,~T., de Bruijn,~E I F., de Arellano,~J V G., Svensson,~G., and Holtslag,~A A M.: Evaluation of limited-area models for the representation of the diurnal cycle and contrasting nights in CASES-99, J. Appl. Meteorol. Clim., 47, 869â€“887, 2008. </mixed-citation>
</ref>
<ref id="ref38">
<label>38</label><mixed-citation publication-type="other" xlink:type="simple"> %Tolk,~L F., Peters,~W., Meesters,~A G C.A.., Groenendijk,~M., Vermeulen,~A T., Steeneveld,~G J., and Dolman,~A J.: Modelling regional scale surface fluxes, meteorology and \chemCO_2 mixing ratios for the Cabauw tower in The Netherlands, Biogeosciences, 6, 2265â€“2280, 2009. % ### SELF-REFERENCE ### Tolk,~L F., Peters,~W., Meesters,~A G C A., Groenendijk,~M., Vermeulen,~A T., Steeneveld,~G J., and Dolman,~A J.: Modelling regional scale surface fluxes, meteorology and \chemCO_2 mixing ratios for the Cabauw tower in The Netherlands, Biogeosciences, 6, 2265â€“2280, doi:10.5194/bg-6-2265-2009, 2009. </mixed-citation>
</ref>
<ref id="ref39">
<label>39</label><mixed-citation publication-type="other" xlink:type="simple"> Trudinger,~C M., Raupach,~M R., Rayner,~P J., Kattge,~J., Liu,~Q., Pak,~B., Reichstein,~M., Renzullo,~L., Richardson,~A D., Roxburgh,~S H., Styles, J., Wang, Y.P., Briggs, P., Barrett, D. and Nikolova, S.: OptIC project: an intercomparison of optimization techniques for parameter estimation in terrestrial biogeochemical models,~J. Geophys. Res., 112, G02027, doi:10.1029/2008JG000842, 2007. </mixed-citation>
</ref>
<ref id="ref40">
<label>40</label><mixed-citation publication-type="other" xlink:type="simple"> %Yadav,~V., Mueller,~K L., Dragoni,~D., and Michalak,~A M.: A~geostatistical synthesis study of factors affecting gross primary productivity in various ecosystems of North America, Biogeosciences, 7, 2655â€“2671, 2010. % ### SELF-REFERENCE ### Yadav,~V., Mueller,~K L., Dragoni,~D., and Michalak,~A M.: A geostatistical synthesis study of factors affecting gross primary productivity in various ecosystems of North America, Biogeosciences, 7, 2655â€“2671, doi:10.5194/bg-7-2655-2010, 2010. </mixed-citation>
</ref>
<ref id="ref41">
<label>41</label><mixed-citation publication-type="other" xlink:type="simple"> Zupanski,~D., Denning,~A S., Uliasz,~M., Zupanski,~M., Schuh,~A E., Rayner,~P J., Peters,~W., and Corbin,~K D.: Carbon flux bias estimation employing maximum likelihood ensemble filter (MLEF), J. Geophys. Res., 112, D17107, doi:10.1029/2006JD008371, 2007. </mixed-citation>
</ref>
</ref-list>
</back>
</article>