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<front>
<journal-meta>
<journal-id journal-id-type="publisher">ACP</journal-id>
<journal-title-group>
<journal-title>Atmospheric Chemistry and Physics</journal-title>
<abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1680-7324</issn>
<publisher><publisher-name>Copernicus GmbH</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.5194/acp-7-2119-2007</article-id>
<title-group>
<article-title>Centennial evolution of the atmospheric methane budget: what do the carbon isotopes tell us?</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Lassey</surname>
<given-names>K. R.</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>Etheridge</surname>
<given-names>D. M.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Lowe</surname>
<given-names>D. C.</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>Smith</surname>
<given-names>A. M.</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Ferretti</surname>
<given-names>D. F.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>National Institute of Water and Atmospheric Research, P.O. Box 14-901, Wellington, New Zealand</addr-line>
</aff>
<aff id="aff2">
<label>2</label>
<addr-line>CSIRO Marine and Atmospheric Research, PMB 1, Aspendale Vic. 3195, Australia</addr-line>
</aff>
<aff id="aff3">
<label>3</label>
<addr-line>Australian Nuclear Science and Technology Organisation, PMB 1, Menai NSW 2234, Australia</addr-line>
</aff>
<aff id="aff4">
<label>4</label>
<addr-line>Institute of Arctic and Alpine Research, University of Colorado, Boulder, Campus Box 450, CO 80309, USA</addr-line>
</aff>
<pub-date pub-type="epub">
<day>02</day>
<month>05</month>
<year>2007</year>
</pub-date>
<volume>7</volume>
<issue>8</issue>
<fpage>2119</fpage>
<lpage>2139</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.net/7/2119/2007/acp-7-2119-2007.html">This article is available from http://www.atmos-chem-phys.net/7/2119/2007/acp-7-2119-2007.html</self-uri>
<self-uri xlink:href="http://www.atmos-chem-phys.net/7/2119/2007/acp-7-2119-2007.pdf">The full text article is available as a PDF file from http://www.atmos-chem-phys.net/7/2119/2007/acp-7-2119-2007.pdf</self-uri>
<abstract>
<p>Little is known about how the methane source inventory and sinks have evolved
over recent centuries. New and detailed records of methane mixing ratio and
isotopic composition (&lt;sup&gt;12&lt;/sup&gt;CH&lt;sub&gt;4&lt;/sub&gt;, &lt;sup&gt;13&lt;/sup&gt;CH&lt;sub&gt;4&lt;/sub&gt; and &lt;sup&gt;14&lt;/sup&gt;CH&lt;sub&gt;4&lt;/sub&gt;)
from analyses of air trapped in polar ice and firn can enhance this
knowledge. We use existing bottom-up constructions of the source history,
including &quot;EDGAR&quot;-based constructions, as inputs to a model of the evolving
global budget for methane and for its carbon isotope composition through the
20th century. By matching such budgets to atmospheric data, we examine the
constraints imposed by isotope information on those budget evolutions.
Reconciling both &lt;sup&gt;12&lt;/sup&gt;CH&lt;sub&gt;4&lt;/sub&gt; and &lt;sup&gt;13&lt;/sup&gt;CH&lt;sub&gt;4&lt;/sub&gt; budgets with EDGAR-based
source histories requires a combination of: a greater proportion of emissions
from biomass burning and/or of fossil methane than EDGAR constructions
suggest; a greater contribution from natural such emissions than is commonly
supposed; and/or a significant role for active chlorine or other
highly-fractionating tropospheric sink as has been independently proposed.
Examining a companion budget evolution for &lt;sup&gt;14&lt;/sup&gt;CH&lt;sub&gt;4&lt;/sub&gt; exposes
uncertainties in inferring the fossil-methane source from atmospheric
&lt;sup&gt;14&lt;/sup&gt;CH&lt;sub&gt;4&lt;/sub&gt; data. Specifically, methane evolution during the nuclear era
is sensitive to the cycling dynamics of &quot;bomb &lt;sup&gt;14&lt;/sup&gt;C&quot; (originating from
atmospheric weapons tests) through the biosphere. In addition, since ca. 1970,
direct production and release of &lt;sup&gt;14&lt;/sup&gt;CH&lt;sub&gt;4&lt;/sub&gt; from nuclear-power
facilities is influential but poorly quantified. Atmospheric &lt;sup&gt;14&lt;/sup&gt;CH&lt;sub&gt;4&lt;/sub&gt;
determinations in the nuclear era have the potential to better characterize
both biospheric carbon cycling, from photosynthesis to methane synthesis, and
the nuclear-power source.</p>
</abstract>
<counts><page-count count="21"/></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"> Allan, W., Lowe, D. C., and Cainey, J. M.: Active chlorine in the remote marine boundary layer: Modeling anomalous measurements of $\delta ^13$C in methane, Geophys. Res. Lett., 28, 3239&amp;ndash;3242, 2001a. </mixed-citation>
</ref>
<ref id="ref2">
<label>2</label><mixed-citation publication-type="other" xlink:type="simple"> Allan, W., Manning, M. R., Lassey, K. R., Lowe, D. C., and Gomez, A. J.: Modeling the variation of $\delta ^13$C in atmospheric methane: Phase ellipses and the kinetic isotope effect, Global Biogeochem. Cycles, 15, 467&amp;ndash;481, 2001b. </mixed-citation>
</ref>
<ref id="ref3">
<label>3</label><mixed-citation publication-type="other" xlink:type="simple"> Allan, W., Lowe, D. C., Gomez, A. J., Struthers, H., and Brailsford, G. W.: Interannual variation of $^13$C in tropospheric methane: Implications for a possible atomic chlorine sink in the marine boundary layer, J. Geophys. Res., 110, D11306, doi:10.1029/2004JD005650, 2005. </mixed-citation>
</ref>
<ref id="ref4">
<label>4</label><mixed-citation publication-type="other" xlink:type="simple"> Allan, W., Struthers, H., and Lowe, D. C.: Methane carbon isotope effects caused by atomic chlorine in the marine boundary layer: Global model results compared with southern hemisphere measurements, J. Geophys. Res., 112, D04306, doi:10.1029/2006JD007369, 2007. </mixed-citation>
</ref>
<ref id="ref5">
<label>5</label><mixed-citation publication-type="other" xlink:type="simple"> Andreae, M. O. and Merlet, P.: Emission of trace gases and aerosols from biomass burning, Global Biogeochem. Cycles, 15, 955&amp;ndash;966, 2001. </mixed-citation>
</ref>
<ref id="ref6">
<label>6</label><mixed-citation publication-type="other" xlink:type="simple"> Bainbridge, A. E., Suess, H. E., and Friedman, I.: Isotopic composition of atmospheric hydrogen and methane, Nature, 192, 648&amp;ndash;649, 1961. </mixed-citation>
</ref>
<ref id="ref7">
<label>7</label><mixed-citation publication-type="other" xlink:type="simple"> Bellisario, L. M., Bubier, J. L., Moore, T. R., and Chanton, J. P.: Controls on CH&lt;sub&gt;4&lt;/sub&gt; emissions from a northern peatland, Global Biogeochem. Cycles, 13, 81&amp;ndash;91, 1999. </mixed-citation>
</ref>
<ref id="ref8">
<label>8</label><mixed-citation publication-type="other" xlink:type="simple"> Bergamaschi, P., Brühl, C., Brenninkmeijer, C. A. M., Saueressig, G., Crowley, J. N., Grooß, J. U., Fischer, H., and Crutzen, P. J.: Implications of the large carbon kinetic isotope effect in the reaction CH&lt;sub&gt;4&lt;/sub&gt; + Cl for the $^13$C/$^12$C ratio of stratospheric CH&lt;sub&gt;4&lt;/sub&gt;, Geophys. Res. Lett., 23, 2227&amp;ndash;2230, 1996. </mixed-citation>
</ref>
<ref id="ref9">
<label>9</label><mixed-citation publication-type="other" xlink:type="simple"> Bergamaschi, P., Bräunlich, M., Marik, T., and Brenninkmeijer, C. A. M.: Measurements of the carbon and hydrogen isotopes of atmospheric methane at Iza&amp;ntilde;a, Tenerife: Seasonal cycles and synoptic-scale variations, J. Geophys. Res., 105, 14 531&amp;ndash;14 546, 2000. </mixed-citation>
</ref>
<ref id="ref10">
<label>10</label><mixed-citation publication-type="other" xlink:type="simple"> Bousquet, P., Ciais, P., Miller, J. B., Dlugokencky, E. J., Hauglustaine, D. A., Prigent, C., van der Werf, G. R., Peylin, P., Brunke, E.-G., Carouge, C., Langenfelds, R. L., Lathière, J., Papa, F., Ramonet, M., Schmidt, M., Steele, L. P., Tyler, S. C., and White, J.: Contribution of anthropogenic and natural sources to atmospheric methane variability, Nature, 443, 439&amp;ndash;443, 2006. </mixed-citation>
</ref>
<ref id="ref11">
<label>11</label><mixed-citation publication-type="other" xlink:type="simple"> Brenninkmeijer, C. A. M., Lowe, D. C., Manning, M. R., Sparks, R. J., and van Velthoven, P. F. J.: The $^13$C, $^14$C, and $^18$O isotopic composition of CO, CH&lt;sub&gt;4&lt;/sub&gt;, and CO&lt;sub&gt;2&lt;/sub&gt; in the higher southern latitudes lower stratosphere, J. Geophys. Res., 100, 26 163&amp;ndash;26 172, 1995. </mixed-citation>
</ref>
<ref id="ref12">
<label>12</label><mixed-citation publication-type="other" xlink:type="simple"> Cantrell, C. A., Shetter, R. E., McDaniel, A. H., Calvert, J. G., Davidson, J. A., Lowe, D. C., Tyler, S. C., Cicerone, R. J., and Greenberg, J. P.: Carbon kinetic isotope effect in the oxidation of methane by the hydroxyl radical, J. Geophys. Res., 95, 22 455&amp;ndash;22 462, 1990. </mixed-citation>
</ref>
<ref id="ref13">
<label>13</label><mixed-citation publication-type="other" xlink:type="simple"> Chanton, J. P., Rutkowski, C. M., Schwartz, C. C., Ward, D. E., and Boring, L.: Factors influencing the stable carbon isotopic signature of methane from combustion and biomass burning, J. Geophys. Res., 105, 1867&amp;ndash;1877, 2000. </mixed-citation>
</ref>
<ref id="ref14">
<label>14</label><mixed-citation publication-type="other" xlink:type="simple"> Chanton, J. P., Bauer, J. E., Glaser, P. A., Siegel, D. I., Kelley, C. A., Tyler, S. C., Romanowicz, E. H., and Lazrus, A.: Radiocarbon evidence for the substrates supporting methane formation within northern Minnesota peatlands, Geochim. Cosmochim. Acta, 59, 3663&amp;ndash;3668, 1995. </mixed-citation>
</ref>
<ref id="ref15">
<label>15</label><mixed-citation publication-type="other" xlink:type="simple"> Conny, J. M. and Currie, L. A.: The isotopic characterization of methane, non-methane hydrocarbons and formaldehyde in the troposphere, Atmos. Environ., 30, 621&amp;ndash;638, 1996. </mixed-citation>
</ref>
<ref id="ref16">
<label>16</label><mixed-citation publication-type="other" xlink:type="simple"> Craig, H.: The geochemistry of stable carbon isotopes, Geochim. Cosmochim. Acta, 3, 53&amp;ndash;92, 1953. </mixed-citation>
</ref>
<ref id="ref17">
<label>17</label><mixed-citation publication-type="other" xlink:type="simple"> Craig, H.: Isotopic standards for carbon and oxygen and correction factors for mass spectrometric analysis of carbon dioxide, Geochim. Cosmochim. Acta, 12, 133&amp;ndash;149, 1957. </mixed-citation>
</ref>
<ref id="ref18">
<label>18</label><mixed-citation publication-type="other" xlink:type="simple"> Craig, H., Chou, C. C., Welhan, J. A., Stevens, C. M., and Engelkemeir, A.: The isotopic composition of methane in polar ice cores, Science, 242, 1535&amp;ndash;1539, 1988. </mixed-citation>
</ref>
<ref id="ref19">
<label>19</label><mixed-citation publication-type="other" xlink:type="simple"> Crowley, J. N., Saueressig, G., Bergamaschi, P., Fischer, H., and Harris, G. W.: Carbon kinetic isotope effect in the reaction CH&lt;sub&gt;4&lt;/sub&gt;+Cl: a relative rate study using FTIR spectroscopy, Chem. Phys. Lett., 303, 268&amp;ndash;274, 1999. </mixed-citation>
</ref>
<ref id="ref20">
<label>20</label><mixed-citation publication-type="other" xlink:type="simple"> Cunnold, D. M., Steele, L. P., Fraser, P. J., Simmonds, P. G., Prinn, R. G., Weiss, R. F., Porter, L. W., O&apos;Doherty, S., Langenfelds, R. L., Krummel, P. B., Wang, H. J., Emmons, L., Tie, X. X., and Dlugokencky, E. J.: In situ measurements of atmospheric methane at GAGE/AGAGE sites during 1985&amp;ndash;2000 and resulting source inferences, J. Geophys. Res., 107, doi:10.1029/2001JD001226, 2002. </mixed-citation>
</ref>
<ref id="ref21">
<label>21</label><mixed-citation publication-type="other" xlink:type="simple"> Dentener, F., Peters, W., Krol, M., van Weele, M., Bergamaschi, P., and Lelieveld, J.: Interannual variability and trend of CH&lt;sub&gt;4&lt;/sub&gt; lifetime as a measure for OH changes in the 1979&amp;ndash;1993 time period, J. Geophys. Res., 108, 4442, doi:10.1029/2002JD002916, 2003. </mixed-citation>
</ref>
<ref id="ref22">
<label>22</label><mixed-citation publication-type="other" xlink:type="simple"> Dlugokencky, E. J., Masarie, K. A., Lang, P. M., and Tans, P. P.: Continuing decline in the growth rate of the atmospheric methane burden, Nature, 393, 447&amp;ndash;450, 1998.  </mixed-citation>
</ref>
<ref id="ref23">
<label>23</label><mixed-citation publication-type="other" xlink:type="simple"> Dlugokencky, E. J., Myers, R. C., Lang, P. M., Masarie, K. A., Crotwell, A. M., Thoning, K. W., Hall, B. D., Elkins, J. W., and Steele, L. P.: Conversion of NOAA atmospheric dry air CH&lt;sub&gt;4&lt;/sub&gt; mole fractions to a gravimetrically prepared standard scale, J. Geophys. Res., 110, D18306, doi:10.1029/2005JD006035, 2005. </mixed-citation>
</ref>
<ref id="ref24">
<label>24</label><mixed-citation publication-type="other" xlink:type="simple"> Ehhalt, D. H.: The atmospheric cycle of methane, Tellus, 26, 58&amp;ndash;70, 1974. </mixed-citation>
</ref>
<ref id="ref25">
<label>25</label><mixed-citation publication-type="other" xlink:type="simple"> Eisma, R., Vermeulen, A. T., and van der Borg, K.: $^14$CH&lt;sub&gt;4&lt;/sub&gt; emissions from nuclear power plants in northwestern Europe, Radiocarbon, 37, 475&amp;ndash;483, 1995. </mixed-citation>
</ref>
<ref id="ref26">
<label>26</label><mixed-citation publication-type="other" xlink:type="simple"> Etheridge, D. M., Steele, L. P., Francey, R. J., and Langenfelds, R. L.: Atmospheric methane between 1000 A.D. and present: Evidence of anthropogenic emissions and climate variability, J. Geophys. Res., 103, 15 979&amp;ndash;15 993, 1998. </mixed-citation>
</ref>
<ref id="ref27">
<label>27</label><mixed-citation publication-type="other" xlink:type="simple"> Etheridge, D. M., Smith, A. M., Lowe, D. C., Trudinger, C. M., Langenfelds, R. L., Steele, L. P., Lassey, K. R., Levchenko, V. A., and Manning, M. R.: Sources of atmospheric methane during the 20th century from methane isotopic measurements in Antarctic firn air, in: 8$^th$ Scientific Assembly of IAMAS, Innsbruck, Austria, pp. 106, 2001. </mixed-citation>
</ref>
<ref id="ref28">
<label>28</label><mixed-citation publication-type="other" xlink:type="simple"> Etiope, G.: New directions: GEM &amp;ndash; Geologic emissions of methane, the missing source in the atmospheric methane budget, Atmos. Environ., 38, 3099&amp;ndash;3100, 2004. </mixed-citation>
</ref>
<ref id="ref29">
<label>29</label><mixed-citation publication-type="other" xlink:type="simple"> Etiope, G. and Klusman, R. W.: Geologic emissions of methane to the atmosphere, Chemosphere, 49, 777&amp;ndash;789, 2002. </mixed-citation>
</ref>
<ref id="ref30">
<label>30</label><mixed-citation publication-type="other" xlink:type="simple"> Ferretti, D. F., Miller, J. B., White, J. W. C., Etheridge, D. M., Lassey, K. R., Lowe, D. C., MacFarling Meure, C. M., Dreier, M. F., Trudinger, C. M., van Ommen, T. D., and Langenfelds, R. L.: Unexpected changes to the global methane budget over the past 2000 years, Science, 309, 1714&amp;ndash;1717, 2005. </mixed-citation>
</ref>
<ref id="ref31">
<label>31</label><mixed-citation publication-type="other" xlink:type="simple"> Ferretti, D. F., Miller, J. B., White, J. W. C., Lassey, K. R., Lowe, D. C., and Etheridge, D. M.: Stable isotopes provide revised global limits of aerobic methane emissions from plants, Atmos. Chem. Phys., 7, 237&amp;ndash;241, 2007. </mixed-citation>
</ref>
<ref id="ref32">
<label>32</label><mixed-citation publication-type="other" xlink:type="simple"> Fiore, A. M., Horowitz, L. W., Dlugokencky, E. J., and West, J. J.: Impact of meteorology and emissions on methane trends, 1990&amp;ndash;2004, Geophys. Res. Lett., 33, L12809, doi:10.1029/2006GL026199, 2006. </mixed-citation>
</ref>
<ref id="ref33">
<label>33</label><mixed-citation publication-type="other" xlink:type="simple"> Francey, R. J., Manning, M. R., Allison, C. E., Coram, S. A., Etheridge, D. M., Langenfelds, R. L., Lowe, D. C., and Steele, L. P.: A history of $\delta ^13$C in atmospheric CH&lt;sub&gt;4&lt;/sub&gt; from the Cape Grim Air Archive and Antarctic firn air, J. Geophys. Res., 104, 23 631&amp;ndash;23 643, 1999. </mixed-citation>
</ref>
<ref id="ref34">
<label>34</label><mixed-citation publication-type="other" xlink:type="simple"> Fung, I., John, J., Lerner, J., Matthews, E., Prather, M., Steele, L. P., and Fraser, P. J.: Three-dimensional model synthesis of the global methane cycle, J. Geophys. Res., 96, 13 033&amp;ndash;13 065, 1991. </mixed-citation>
</ref>
<ref id="ref35">
<label>35</label><mixed-citation publication-type="other" xlink:type="simple"> Hein, R., Crutzen, P. J., and Heimann, M.: An inverse modeling approach to investigate the global atmospheric methane cycle, Global Biogeochem. Cycles, 11, 43&amp;ndash;76, 1997. </mixed-citation>
</ref>
<ref id="ref36">
<label>36</label><mixed-citation publication-type="other" xlink:type="simple"> Houweling, S., Dentener, F., and Lelieveld, J.: Simulation of preindustrial methane to constrain the global source strength of natural wetlands, J. Geophys. Res., 105, 17 243&amp;ndash;17 255, 2000. </mixed-citation>
</ref>
<ref id="ref37">
<label>37</label><mixed-citation publication-type="other" xlink:type="simple"> Houweling, S., Kaminski, T., Dentener, F., Lelieveld, J., and Heimann, M.: Inverse modeling of methane sources and sinks using the adjoint of a global transport model, J. Geophys. Res., 104, 26 137&amp;ndash;26 160, 1999. </mixed-citation>
</ref>
<ref id="ref38">
<label>38</label><mixed-citation publication-type="other" xlink:type="simple"> Houweling, S., Röckmann, T., Aben, I., Keppler, F., Krol, M., Meirink, J. F., Dlugokencky, E. J., and Frankenberg, C.: Atmospheric constraints on global emissions of methane from plants, Geophys. Res. Lett., 33, L15821, doi:10.1029/2006GL026162, 2006. </mixed-citation>
</ref>
<ref id="ref39">
<label>39</label><mixed-citation publication-type="other" xlink:type="simple"> Hua, Q. and Barbetti, M.: Review of tropospheric bomb $^14$C data for carbon cycle modeling and age calibration studies, Radiocarbon, 46, 1273&amp;ndash;1298, 2004. </mixed-citation>
</ref>
<ref id="ref40">
<label>40</label><mixed-citation publication-type="other" xlink:type="simple"> Kammen, D. M. and Marino, B. D.: On the origin and magnitude of pre-industrial anthropogenic CO&lt;sub&gt;2&lt;/sub&gt; and CH&lt;sub&gt;4&lt;/sub&gt; emissions, Chemosphere, 26, 69&amp;ndash;86, 1993. </mixed-citation>
</ref>
<ref id="ref41">
<label>41</label><mixed-citation publication-type="other" xlink:type="simple"> Karlsdóttir, S. and Isaksen, I. S. A.: Changing methane lifetime: Possible cause for reduced growth, Geophys. Res. Lett., 27, 93&amp;ndash;96, 2000. </mixed-citation>
</ref>
<ref id="ref42">
<label>42</label><mixed-citation publication-type="other" xlink:type="simple"> Kasischke, E. S. and Penner, J. E.: Improving global estimates of atmospheric emissions from biomass burning, J. Geophys. Res., 109, D14S01, doi:10.1029/2004JD004972, 2004. </mixed-citation>
</ref>
<ref id="ref43">
<label>43</label><mixed-citation publication-type="other" xlink:type="simple"> Keppler, F., Hamilton, J. T. G., Braß, M., and Röckmann, T.: Methane emissions from terrestrial plants under aerobic conditions, Nature, 439, 187&amp;ndash;191, 2006. </mixed-citation>
</ref>
<ref id="ref44">
<label>44</label><mixed-citation publication-type="other" xlink:type="simple"> Kirchgessner, D. A., Piccot, S. D., and Masemore, S. S.: An improved inventory of methane emissions from coal mining in the United States, J. Air Waste Manage. Assoc., 50, 1904&amp;ndash;1919, 2000. </mixed-citation>
</ref>
<ref id="ref45">
<label>45</label><mixed-citation publication-type="other" xlink:type="simple"> Kirschbaum, M. U. F., Bruhn, D., Etheridge, D. M., Evans, J. R., Farquhar, G. D., Gifford, R. M., Paul, K. I., and Winters, A. J.: A comment on the quantitative significance of aerobic methane release by plants, Funct. Plant Biol., 33, 521&amp;ndash;530, 2006. </mixed-citation>
</ref>
<ref id="ref46">
<label>46</label><mixed-citation publication-type="other" xlink:type="simple"> Kunz, C.: Carbon-14 discharge at three light-water reactors, Health Phys., 49, 25&amp;ndash;35, 1985. </mixed-citation>
</ref>
<ref id="ref47">
<label>47</label><mixed-citation publication-type="other" xlink:type="simple"> Lacroix, A. V.: Unaccounted-for sources of fossil and isotopically-enriched methane and their contribution to the emissions inventory: A review and synthesis, Chemosphere, 26, 505&amp;ndash;557, 1993. </mixed-citation>
</ref>
<ref id="ref48">
<label>48</label><mixed-citation publication-type="other" xlink:type="simple"> Lassey, K. R., Lowe, D. C., and Manning, M. R.: The trend in atmospheric methane $\delta ^13$C and implications for isotopic constraints on the global methane budget, Global Biogeochem. Cycles, 14, 41&amp;ndash;49, 2000. </mixed-citation>
</ref>
<ref id="ref49">
<label>49</label><mixed-citation publication-type="other" xlink:type="simple"> Lassey, K. R., Scheehle, E. A., and Kruger, D.: Towards reconciling national emission inventories for methane with the global budget, Environ. Sci., 2, 193&amp;ndash;204, 2005. </mixed-citation>
</ref>
<ref id="ref50">
<label>50</label><mixed-citation publication-type="other" xlink:type="simple"> Lassey, K. R., Lowe, D. C., and Smith, A. M.: The atmospheric cycling of radiomethane and the &quot;fossil fraction&quot; of the methane source, Atmos. Chem. Phys., 7, 2141&amp;ndash;2149, 2007. </mixed-citation>
</ref>
<ref id="ref51">
<label>51</label><mixed-citation publication-type="other" xlink:type="simple"> Lelieveld, J., Crutzen, P. J., and Dentener, F. J.: Changing concentration, lifetime and climate forcing of atmospheric methane, Tellus, 50B, 128&amp;ndash;150, 1998. </mixed-citation>
</ref>
<ref id="ref52">
<label>52</label><mixed-citation publication-type="other" xlink:type="simple"> Lelieveld, J., Peters, W., Dentener, F. J., and Krol, M. C.: Stability of tropospheric hydroxyl chemistry, J. Geophys. Res., 107, 4715, doi:10.1029/2002JD002272, 2002. </mixed-citation>
</ref>
<ref id="ref53">
<label>53</label><mixed-citation publication-type="other" xlink:type="simple"> Levin, I. and Kromer, B.: Twenty years of high precision atmospheric $^14$CO&lt;sub&gt;2&lt;/sub&gt; observations at Schauinsland station, Germany, Radiocarbon, 39, 205&amp;ndash;218, 1997. </mixed-citation>
</ref>
<ref id="ref54">
<label>54</label><mixed-citation publication-type="other" xlink:type="simple"> Levin, I. and Kromer, B.: The tropospheric $^14$CO&lt;sub&gt;2&lt;/sub&gt; level in mid-latitudes of the Northern Hemisphere (1959&amp;ndash;2003), Radiocarbon, 46, 1261&amp;ndash;1272, 2004. </mixed-citation>
</ref>
<ref id="ref55">
<label>55</label><mixed-citation publication-type="other" xlink:type="simple"> Lowe, D., Manning, M., Levin, I., Wahlen, M., Tyler, S., Etheridge, D., and Lassey, K.: Radiocarbon content of atmospheric methane and the `fossil fraction&apos; of emissions, in: 8th Scientific Assembly of IAMAS, Innsbruck, Austria, pp. 106, 2001. </mixed-citation>
</ref>
<ref id="ref56">
<label>56</label><mixed-citation publication-type="other" xlink:type="simple"> Lowe, D. C., Brenninkmeijer, C. A. M., Tyler, S. C., and Dlugokencky, E. J.: Determination of the isotopic composition of atmospheric methane and its application in the Antarctic, J. Geophys. Res., 96, 15 445&amp;ndash;15 467, 1991. </mixed-citation>
</ref>
<ref id="ref57">
<label>57</label><mixed-citation publication-type="other" xlink:type="simple"> Lowe, D. C., Manning, M. R., Brailsford, G. W., and Bromley, A. M.: The 1991&amp;ndash;1992 atmospheric methane anomaly: Southern Hemisphere $^13$C decrease and growth rate fluctuations, Geophys. Res. Lett., 24, 857&amp;ndash;860, 1997. </mixed-citation>
</ref>
<ref id="ref58">
<label>58</label><mixed-citation publication-type="other" xlink:type="simple"> Lowe, D. C., Brenninkmeijer, C. A. M., Manning, M. R., Sparks, R. J., and Wallace, G.: Radiocarbon determination of atmospheric methane at Baring Head, New Zealand, Nature, 332, 522&amp;ndash;525, 1988. </mixed-citation>
</ref>
<ref id="ref59">
<label>59</label><mixed-citation publication-type="other" xlink:type="simple"> Lowe, D. C., Koshy, K., Bromley, T., Allan, W., Struthers, H., Mani, F., and Maata, M.: Seasonal cycles of mixing ratio and $^13$C in atmospheric methane at Suva, Fiji, J. Geophys. Res., 109, D23308, doi:10.1029/2004JD005166, 2004. </mixed-citation>
</ref>
<ref id="ref60">
<label>60</label><mixed-citation publication-type="other" xlink:type="simple"> Lowe, D. C., Allan, W., Manning, M. R., Bromley, A., Brailsford, G., Ferretti, D., Gomez, A., Knobben, R., Martin, R., Mei, Z., Moss, R., Koshy, K., and Maata, M.: Shipboard determinations of the distribution of $^13$C in atmospheric methane in the Pacific, J. Geophys. Res., 104, 26 125&amp;ndash;26 135, 1999. </mixed-citation>
</ref>
<ref id="ref61">
<label>61</label><mixed-citation publication-type="other" xlink:type="simple"> MacFarling Meure, C., Etheridge, D., Trudinger, C., Steele, P., Langenfelds, R., van Ommen, T., Smith, A., and Elkins, J.: Law Dome CO&lt;sub&gt;2&lt;/sub&gt;, CH&lt;sub&gt;4&lt;/sub&gt; and N&lt;sub&gt;2&lt;/sub&gt;O ice core records extended to 2000 years BP, Geophys. Res. Lett., 33, L14810, doi:10.1029/2006GL026152, 2006. </mixed-citation>
</ref>
<ref id="ref62">
<label>62</label><mixed-citation publication-type="other" xlink:type="simple"> Mak, J. E., Manning, M. R., and Lowe, D. C.: Aircraft observations of $\delta^13$C of atmospheric methane over the Pacific in August 1991 and 1993: Evidence of an enrichment in $^13$CH&lt;sub&gt;4&lt;/sub&gt; in the Southern Hemisphere, J. Geophys. Res., 105, 1329&amp;ndash;1335, 2000. </mixed-citation>
</ref>
<ref id="ref63">
<label>63</label><mixed-citation publication-type="other" xlink:type="simple"> Manning, M. R., Lowe, D. C., Moss, R. C., Bodeker, G. E., and Allan, W.: Short term variations in the oxidizing power of the atmosphere, Nature, 436, 1001&amp;ndash;1004, 2005. </mixed-citation>
</ref>
<ref id="ref64">
<label>64</label><mixed-citation publication-type="other" xlink:type="simple"> Manning, M. R., Lowe, D. C., Melhuish, W. H., Sparks, R. J., Wallace, G., Brenninkmeijer, C. A. M., and McGill, R. C.: The use of radiocarbon measurements in atmospheric studies, Radiocarbon, 32, 37&amp;ndash;58, 1990. </mixed-citation>
</ref>
<ref id="ref65">
<label>65</label><mixed-citation publication-type="other" xlink:type="simple"> Martens, C. S., Kelley, C. A., Chanton, J. P., and Showers, W. J.: Carbon and hydrogen isotopic characterization of methane from wetlands and lakes of the Yukon-Kuskokwim Delta, Western Alaska, J. Geophys. Res., 97, 16 689&amp;ndash;16 701, 1992. </mixed-citation>
</ref>
<ref id="ref66">
<label>66</label><mixed-citation publication-type="other" xlink:type="simple"> McCarthy, M. C., Connell, P., and Boering, K. A.: Isotopic fractionation of methane in the stratosphere and its effect on free tropospheric isotopic compositions, Geophys. Res. Lett., 28, 3657&amp;ndash;3660, 2001. </mixed-citation>
</ref>
<ref id="ref67">
<label>67</label><mixed-citation publication-type="other" xlink:type="simple"> Mikaloff Fletcher, S. E., Tans, P. P., Bruhwiler, L. M., Miller, J. B., and Heimann, M.: CH&lt;sub&gt;4&lt;/sub&gt; sources estimated from atmospheric observations of CH&lt;sub&gt;4&lt;/sub&gt; and its $^13$C/$^12$C isotopic ratios: 2. Inverse modeling of CH&lt;sub&gt;4&lt;/sub&gt; fluxes from geographical regions, Global Biogeochem. Cycles, 18, GB4005, doi:10.1029/2004GB002224, 2004. </mixed-citation>
</ref>
<ref id="ref68">
<label>68</label><mixed-citation publication-type="other" xlink:type="simple"> Miller, J. B., Mack, K. A., Dissly, R., White, J. W. C., Dlugokencky, E. J., and Tans, P. P.: Development of analytical methods and measurements of $^13$C/$^12$C in atmospheric CH&lt;sub&gt;4&lt;/sub&gt; from NOAA Climate Monitoring and Diagnostics Laboratory Global Air Sampling Network, J. Geophys. Res., 107, doi:10.1029/2001JD000630, 2002. </mixed-citation>
</ref>
<ref id="ref69">
<label>69</label><mixed-citation publication-type="other" xlink:type="simple"> Mook, W. G. and van der Plicht, J.: Reporting $^14$C activities and concentrations, Radiocarbon, 41, 227&amp;ndash;239, 1999. </mixed-citation>
</ref>
<ref id="ref70">
<label>70</label><mixed-citation publication-type="other" xlink:type="simple"> Mouillot, F., Narasimha, A., Balkanski, Y., Lamarque, J.-F., and Field, C. B.: Global carbon emissions from biomass burning in the 20th century, Geophys. Res. Lett., 33, L01801, doi:10.1029/2005GL024707, 2006. </mixed-citation>
</ref>
<ref id="ref71">
<label>71</label><mixed-citation publication-type="other" xlink:type="simple"> Nakagawa, F., Yoshida, N., Sugimoto, A., Wada, E., Yoshioka, T., Ueda, S., and Vijarnsorn, P.: Stable isotope and radiocarbon compositions of methane emitted from tropical rice paddies and swamps in Southern Thailand, Biogeochem., 61, 1&amp;ndash;19, 2002. </mixed-citation>
</ref>
<ref id="ref72">
<label>72</label><mixed-citation publication-type="other" xlink:type="simple"> Nydal, R. and Lövseth, K.: Tracing bomb $^14$C in the atmosphere 1962&amp;ndash;1980, J. Geophys. Res., 88, 3621&amp;ndash;3642, 1983. </mixed-citation>
</ref>
<ref id="ref73">
<label>73</label><mixed-citation publication-type="other" xlink:type="simple"> Olivier, J. G. J.: On the quality of global emission inventories, PhD thesis, Utrecht University, Utrecht, Netherlands, 167 pp, 2002. </mixed-citation>
</ref>
<ref id="ref74">
<label>74</label><mixed-citation publication-type="other" xlink:type="simple"> Olivier, J. G. J. and Berdowski, J. J. M.: Global emission sources and sinks, in: The Climate System, edited by: Berdowski, J., Guicherit, R., and Heij, B. J., A. A. Balkema Publishers/Swets &amp; Zeitlinger Publishers, Lisse, The Netherlands, 33&amp;ndash;78, 2001. </mixed-citation>
</ref>
<ref id="ref75">
<label>75</label><mixed-citation publication-type="other" xlink:type="simple"> Parsons, A. J., Newton, P. C. D., Clark, H., and Kelliher, F. M.: Scaling methane emissions from vegetation, TREE, 21, 423&amp;ndash;424, 2006. </mixed-citation>
</ref>
<ref id="ref76">
<label>76</label><mixed-citation publication-type="other" xlink:type="simple"> Platt, U., Allan, W., and Lowe, D.: Hemispheric average Cl atom concentration from $^13$C/$^12$C ratios in atmospheric methane, Atmos. Chem. Phys., 4, 2393&amp;ndash;2399, 2004. </mixed-citation>
</ref>
<ref id="ref77">
<label>77</label><mixed-citation publication-type="other" xlink:type="simple"> Povinec, P., Chud\&apos;y, M., and Sivo, A.: Anthropogenic radiocarbon: past, present, and future, Radiocarbon, 28, 668&amp;ndash;672, 1986. </mixed-citation>
</ref>
<ref id="ref78">
<label>78</label><mixed-citation publication-type="other" xlink:type="simple"> Prather, M., Ehhalt, D., Dentener, F., Derwent, R., Dlugokencky, E., Holland, E., Isaksen, I., Katima, J., Kirchhoff, V., Matson, P., Midgley, P., and Wang, M.: Atmospheric chemistry and greenhouse gases, in: Climate Change 2001: The Scientific Basis, Contribution of Working Group I to the Third Assessment Report of the Intergovernmental Panel on Climate Change, edited by: Houghton, J. T., Ding, Y., Griggs, D. J., Nogeur, M., van der Linden, P. J., Dai, X., Maskell, K., and Johnson, C. A., Cambridge University Press, Cambridge, UK, 239&amp;ndash;287, 2001. </mixed-citation>
</ref>
<ref id="ref79">
<label>79</label><mixed-citation publication-type="other" xlink:type="simple"> Prinn, R. G., Huang, J., Weiss, R. F., Cunnold, D. M., Fraser, P. J., Simmonds, P. G., McCulloch, A., Harth, C., Reimann, S., Salameh, P., O&apos;Doherty, S., Wang, R. H. J., Porter, L. W., Miller, B. R., and Krummel, P. B.: Evidence for variability of atmospheric hydroxyl radicals over the past quarter century, Geophys. Res. Lett., 32, L07809, doi:10.1029/2004GL022228, 2005. </mixed-citation>
</ref>
<ref id="ref80">
<label>80</label><mixed-citation publication-type="other" xlink:type="simple"> Quay, P. D., Stutsman, J., Wilbur, D., Snover, A., Dlugokencky, E. J., and Brown, T.: The isotopic composition of atmospheric methane, Global Biogeochem. Cycles, 13, 445&amp;ndash;461, 1999. </mixed-citation>
</ref>
<ref id="ref81">
<label>81</label><mixed-citation publication-type="other" xlink:type="simple"> Quay, P. D., King, S. L., Stutsman, J., Wilbur, D. O., Steele, L. P., Fung, I., Gammon, R. H., Brown, T. A., Farwell, G. W., Grootes, P. M., and Schmidt, F. H.: Carbon isotopic composition of atmospheric CH&lt;sub&gt;4&lt;/sub&gt;: fossil and biomass burning source strengths, Global Biogeochem. Cycles, 5, 25&amp;ndash;47, 1991. </mixed-citation>
</ref>
<ref id="ref82">
<label>82</label><mixed-citation publication-type="other" xlink:type="simple"> Robbins, R. C., Cavanagh, L. A., Salas, L. J., and Robinson, E.: Analysis of ancient atmospheres, J. Geophys. Res., 78, 5341&amp;ndash;5344, 1973. </mixed-citation>
</ref>
<ref id="ref83">
<label>83</label><mixed-citation publication-type="other" xlink:type="simple"> Rosenlof, K. H. and Holton, J. R.: Estimates of stratospheric residual circulation using the downward control principle, J. Geophys. Res., 98, 10 465&amp;ndash;10 479, 1993. </mixed-citation>
</ref>
<ref id="ref84">
<label>84</label><mixed-citation publication-type="other" xlink:type="simple"> Ruddiman, W. F. and Thomson, J. S.: The case for human causes of increased atmospheric CH&lt;sub&gt;4&lt;/sub&gt; over the last 5000 years, Quaternary Science Reviews, 20, 1769&amp;ndash;1777, 2001. </mixed-citation>
</ref>
<ref id="ref85">
<label>85</label><mixed-citation publication-type="other" xlink:type="simple"> Saueressig, G., Bergamaschi, P., Crowley, J. N., Fischer, H., and Harris, G. W.: Carbon kinetic isotope effect in the reaction of CH&lt;sub&gt;4&lt;/sub&gt; with Cl atoms, Geophys. Res. Lett., 22, 1225&amp;ndash;1228, 1995. </mixed-citation>
</ref>
<ref id="ref86">
<label>86</label><mixed-citation publication-type="other" xlink:type="simple"> Saueressig, G., Crowley, J. N., Bergamaschi, P., Brühl, C., Brenninkmeijer, C. A. M., and Fischer, H.: Carbon 13 and D kinetic isotope effects in the reaction of CH&lt;sub&gt;4&lt;/sub&gt; with O($^1$D) and OH: New laboratory measurements and their implications for the isotopic composition of stratospheric methane, J. Geophys. Res., 106, 23 127&amp;ndash;23 138, 2001. </mixed-citation>
</ref>
<ref id="ref87">
<label>87</label><mixed-citation publication-type="other" xlink:type="simple"> Schimel, D., Alves, D., Enting, I. G., Heimann, M., Joos, F., Raynaud, D., Wigley, T. M. L., Prather, M., Derwent, R., Ehhalt, D., Fraser, P., Sanhueza, E., Zhou, X., Jonas, P., Charlson, R., Rodhe, H., Sadasivan, S., Shine, K., Fouquart, Y., Ramaswamy, V., Solomon, S., Srinivasan, J., Albritton, D., Derwent, R., Isaksen, I., Lal, M., and Wuebbles, D.: Radiative forcing of climate change. In: Climate Change 1995: The Science of Climate Change, edited by: Houghton, J. T., Meira Filho, L. G., Callander, B. A., Harris, N., Kattenberg, A., and Maskell, K., Cambridge University Press, Cambridge, UK, 65&amp;ndash;131, 1996. </mixed-citation>
</ref>
<ref id="ref88">
<label>88</label><mixed-citation publication-type="other" xlink:type="simple"> Snover, A. K. and Quay, P. D.: Hydrogen and carbon kinetic effects during soil uptake of atmospheric methane, Global Biogeochem. Cycles, 14, 25&amp;ndash;39, 2000. </mixed-citation>
</ref>
<ref id="ref89">
<label>89</label><mixed-citation publication-type="other" xlink:type="simple"> Sowers, T., Bernard, S., Aballain, O., Chappellaz, J., Barnola, J.-M., and Marik, T.: Records of the $\delta ^13$C of atmospheric CH&lt;sub&gt;4&lt;/sub&gt; over the last 2 centuries as recorded in Antarctic snow and ice, Global Biogeochem. Cycles, 19, GB2002, doi:10.1029/2004GB002408, 2005. </mixed-citation>
</ref>
<ref id="ref90">
<label>90</label><mixed-citation publication-type="other" xlink:type="simple"> Stern, D. I. and Kaufmann, R. K.: Estimates of global anthropogenic methane emissions 1860&amp;ndash;1993, Chemosphere, 33, 159&amp;ndash;176, 1996. </mixed-citation>
</ref>
<ref id="ref91">
<label>91</label><mixed-citation publication-type="other" xlink:type="simple"> Struthers, H., Allan, W., Lowe, D. C., and Bhaskaran, B.: A comparison of the transport of long lived atmospheric trace gas species from two advection schemes incorporated into an atmospheric general circulation model, Tellus, accepted, 2007. </mixed-citation>
</ref>
<ref id="ref92">
<label>92</label><mixed-citation publication-type="other" xlink:type="simple"> Stuiver, M.: Workshop on $^14$C data reporting, Radiocarbon, 22, 964&amp;ndash;966, 1980. </mixed-citation>
</ref>
<ref id="ref93">
<label>93</label><mixed-citation publication-type="other" xlink:type="simple"> Stuiver, M. and Polach, H. A.: Reporting of $^14$C data, Radiocarbon, 19, 355&amp;ndash;363, 1977. </mixed-citation>
</ref>
<ref id="ref94">
<label>94</label><mixed-citation publication-type="other" xlink:type="simple"> Stuiver, M., Reimer, P. J., and Braziunas, T. F.: High-precision radiocarbon age calibration for terrestrial and marine samples, Radiocarbon, 40, 1127&amp;ndash;1151, 1998. </mixed-citation>
</ref>
<ref id="ref95">
<label>95</label><mixed-citation publication-type="other" xlink:type="simple"> Subak, S.: Methane from the house of Tudor and the Ming Dynasty: Anthropogenic emissions in the sixteenth century, Chemosphere, 29, 843&amp;ndash;854, 1994. </mixed-citation>
</ref>
<ref id="ref96">
<label>96</label><mixed-citation publication-type="other" xlink:type="simple"> Sugawara, S., Nakazawa, T., Shirakawa, Y., Kawamura, K., and Aoki, S.: Vertical profile of the carbon isotope ratio of stratospheric methane over Japan, Geophys. Res. Lett., 24, 2989&amp;ndash;2992, 1997. </mixed-citation>
</ref>
<ref id="ref97">
<label>97</label><mixed-citation publication-type="other" xlink:type="simple"> Tans, P. P.: A note on isotope ratios and the global atmospheric methane budget, Global Biogeochem. Cycles, 11, 77&amp;ndash;81, 1997. </mixed-citation>
</ref>
<ref id="ref98">
<label>98</label><mixed-citation publication-type="other" xlink:type="simple"> Trudinger, C. M., Etheridge, D. M., Rayner, P. J., Enting, I. G., Sturrock, G. A., and Langenfelds, R. L.: Reconstructing atmospheric histories from measurements of air composition in firn, J. Geophys. Res., 107, 4780, doi:10.1029/2002JD002545, 2002. </mixed-citation>
</ref>
<ref id="ref99">
<label>99</label><mixed-citation publication-type="other" xlink:type="simple"> Tyler, S. C., Crill, P. M., and Brailsford, G. W.: $^13$C/$^12$C fractionation of methane during oxidation in a temperate forested soil, Geochim. Cosmochim. Acta, 58, 1625&amp;ndash;1633, 1994a. </mixed-citation>
</ref>
<ref id="ref100">
<label>100</label><mixed-citation publication-type="other" xlink:type="simple"> Tyler, S. C., Brailsford, G. W., Yagi, K., Minami, K., and Cicerone, R. J.: Seasonal variations in methane flux and $\delta ^13$CH&lt;sub&gt;4&lt;/sub&gt; values for rice paddies in Japan and their implications, Global Biogeochem. Cycles, 8, 1&amp;ndash;12, 1994b. </mixed-citation>
</ref>
<ref id="ref101">
<label>101</label><mixed-citation publication-type="other" xlink:type="simple"> Tyler, S. C., Ajie, H. O., Rice, A. L., Cicerone, R. J., and Tuazon, E. C.: Experimentally determined kinetic isotope effects in the reaction of CH&lt;sub&gt;4&lt;/sub&gt; with Cl: Implications for atmospheric CH&lt;sub&gt;4&lt;/sub&gt;, Geophys. Res. Lett., 27, 1715&amp;ndash;1718, 2000. </mixed-citation>
</ref>
<ref id="ref102">
<label>102</label><mixed-citation publication-type="other" xlink:type="simple"> van Aardenne, J. A., Dentener, F. J., Olivier, J. G. J., Klein Goldewijk, C. G. M., and Lelieveld, J.: A 1$^\circ\times$1&amp;deg; resolution data set of historical anthropogenic trace gas emissions for the period 1890&amp;ndash;1990, Global Biogeochem. Cycles, 15, 909&amp;ndash;928, 2001.  </mixed-citation>
</ref>
<ref id="ref103">
<label>103</label><mixed-citation publication-type="other" xlink:type="simple"> Veres, M., Hertelendi, E., Uchrin, G., Csaba, E., Barnabás, I., Ormai, P., Volent, G., and Futó, I.: Concentration of radiocarbon and its chemical forms in gaseous effluents, environmental air, nuclear waste and primary water of a pressurized water reactor power plant in Hungary, Radiocarbon, 37, 497&amp;ndash;504, 1995. </mixed-citation>
</ref>
<ref id="ref104">
<label>104</label><mixed-citation publication-type="other" xlink:type="simple"> Wahlen, M., Tanaka, N., Henry, R., Deck, B., Zeglen, J., Vogel, J. S., Southon, J., Shemesh, A., Fairbanks, R., and Broecker, W.: Carbon-14 in methane sources and in atmospheric methane: The contribution from fossil carbon, Science, 245, 286&amp;ndash;290, 1989. </mixed-citation>
</ref>
<ref id="ref105">
<label>105</label><mixed-citation publication-type="other" xlink:type="simple"> Wang, J. S., McElroy, M. B., Spivakovsky, C. M., and Jones, D. B. A.: On the contribution of anthropogenic Cl to the increase in $\delta ^13$C of atmospheric methane, Global Biogeochem. Cycles, 16, 1047, doi:10.1029/2001GB001572, 2002. </mixed-citation>
</ref>
<ref id="ref106">
<label>106</label><mixed-citation publication-type="other" xlink:type="simple"> Wang, J. S., Logan, J. A., McElroy, M. B., Duncan, B. N., Megretskaia, I. A., and Yantosca, R. M.: A 3-D model analysis of the slowdown and interannual variability in the methane growth rate from 1988 to 1997, Global Biogeochem. Cycles, 18, GB3011, doi:10.1029/2003GB002180, 2004. </mixed-citation>
</ref>
<ref id="ref107">
<label>107</label><mixed-citation publication-type="other" xlink:type="simple"> Wang, Y. and Jacob, D. J.: Anthropogenic forcing on tropospheric ozone and OH since preindustrial times, J. Geophys. Res., 103, 31 123&amp;ndash;31 135, 1998. </mixed-citation>
</ref>
<ref id="ref108">
<label>108</label><mixed-citation publication-type="other" xlink:type="simple"> Warwick, N. J., Bekki, S., Law, K. S., Nisbet, E. G., and Pyle, J. A.: The impact of meteorology on the interannual growth rate of atmospheric methane, Geophys. Res. Lett., 29, 1947, doi:10.1029/2002GL015282, 2002. </mixed-citation>
</ref>
<ref id="ref109">
<label>109</label><mixed-citation publication-type="other" xlink:type="simple"> Waugh, D. W. and Hall, T. M.: Age of stratospheric air: theory, observations, and models, Rev. Geophys., 40, 1010, doi:10.1029/2000RG000101, 2002. </mixed-citation>
</ref>
</ref-list>
</back>
</article>