<?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">BGD</journal-id>
<journal-title-group>
<journal-title>Biogeosciences Discussions</journal-title>
<abbrev-journal-title abbrev-type="publisher">BGD</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1810-6285</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/bgd-8-7671-2011</article-id>
<title-group>
<article-title>Use of the isotope flux ratio approach to investigate the C&lt;sup&gt;18&lt;/sup&gt;O&lt;sup&gt;16&lt;/sup&gt;O and &lt;sup&gt;13&lt;/sup&gt;CO&lt;sub&gt;2&lt;/sub&gt; exchange near the floor of a temperate deciduous forest</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Santos</surname>
<given-names>E.</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>Wagner-Riddle</surname>
<given-names>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>Lee</surname>
<given-names>X.</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>Warland</surname>
<given-names>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>Brown</surname>
<given-names>S.</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>Staebler</surname>
<given-names>R.</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>Bartlett</surname>
<given-names>P.</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Kim</surname>
<given-names>K.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>School of Environmental Sciences, Guelph, ON, N1G 2W1, Canada</addr-line>
</aff>
<aff id="aff2">
<label>2</label>
<addr-line>School of Forestry and Environmental Studies, Yale University, New Haven, CT, USA</addr-line>
</aff>
<aff id="aff3">
<label>3</label>
<addr-line>Air Quality Research Division, Environment Canada, Toronto, ON, Canada</addr-line>
</aff>
<aff id="aff4">
<label>4</label>
<addr-line>Climate Research Division, Environment Canada, Toronto, ON, Canada</addr-line>
</aff>
<pub-date pub-type="epub">
<day>01</day>
<month>08</month>
<year>2011</year>
</pub-date>
<volume>8</volume>
<issue>4</issue>
<fpage>7671</fpage>
<lpage>7712</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.biogeosciences-discuss.net/8/7671/2011/bgd-8-7671-2011.html">This article is available from http://www.biogeosciences-discuss.net/8/7671/2011/bgd-8-7671-2011.html</self-uri>
<self-uri xlink:href="http://www.biogeosciences-discuss.net/8/7671/2011/bgd-8-7671-2011.pdf">The full text article is available as a PDF file from http://www.biogeosciences-discuss.net/8/7671/2011/bgd-8-7671-2011.pdf</self-uri>
<abstract>
<p>Stable isotopologues of CO&lt;sub&gt;2&lt;/sub&gt;, such as &lt;sup&gt;13&lt;/sup&gt;CO&lt;sub&gt;2&lt;/sub&gt; and
C&lt;sup&gt;18&lt;/sup&gt;O&lt;sup&gt;16&lt;/sup&gt;O, have been used to study the CO&lt;sub&gt;2&lt;/sub&gt; exchange between
land and atmosphere. The advent of new measuring techniques has allowed
near-continuous measurements of stable isotopes in the air. These
measurements can be used with micrometeorological techniques, providing new
tools to investigate the isotope exchange in ecosystems. The objectives of
this study were to evaluate the use of the isotope flux ratio method (IFR)
near the forest floor of a temperate deciduous forest and to study the
temporal dynamics of &amp;delta;&lt;sup&gt;18&lt;/sup&gt;O of CO&lt;sub&gt;2&lt;/sub&gt; flux near the forest
floor by comparing IFR estimates with estimates of &amp;delta;&lt;sup&gt;18&lt;/sup&gt;O of net
soil CO&lt;sub&gt;2&lt;/sub&gt; flux provided by an analytical model. Mixing ratios of
&lt;sup&gt;12&lt;/sup&gt;C&lt;sup&gt;16&lt;/sup&gt;O&lt;sub&gt;2&lt;/sub&gt;, &lt;sup&gt;13&lt;/sup&gt;CO&lt;sub&gt;2&lt;/sub&gt; and C&lt;sup&gt;16&lt;/sup&gt;O&lt;sup&gt;18&lt;/sup&gt;O were measured
within and above a temperate deciduous forest, using the tunable diode laser
spectroscopy technique. The half-hourly compositions of the CO&lt;sub&gt;2&lt;/sub&gt; flux
near the forest floor (&amp;delta;&lt;sup&gt;13&lt;/sup&gt;C&lt;sub&gt;F&lt;/sub&gt; and &amp;delta;&lt;sup&gt;18&lt;/sup&gt;O&lt;sub&gt;F&lt;/sub&gt;)
were compared with estimates provided by a modified Keeling plot technique
(mKP) and by a Lagrangian dispersion analysis (WT analysis). The mKP and IFR
&amp;delta;&lt;sup&gt;18&lt;/sup&gt;O&lt;sub&gt;F&lt;/sub&gt; estimates showed good agreement (slope = 1.03 and
correlation, &lt;i&gt;R&lt;/i&gt;&lt;sup&gt;2&lt;/sup&gt; = 0.80). The &amp;delta;&lt;sup&gt;13&lt;/sup&gt;C&lt;sub&gt;F&lt;/sub&gt; estimates from the
two methods varied in a narrow range of −32.7 and −23.1 &amp;permil;; the mean
(±SE) mKP and IFR &amp;delta;&lt;sup&gt;13&lt;/sup&gt;C&lt;sub&gt;F&lt;/sub&gt; values were −27.5 ‰
(±0.2) and −27.3 &amp;permil; (±0.1), respectively, and were statistically
identical (&lt;i&gt;p&lt;/i&gt; &gt; 0.05). WT analysis and IFR &amp;delta;&lt;sup&gt;18&lt;/sup&gt;O&lt;sub&gt;F&lt;/sub&gt; estimates showed better
correlation (&lt;i&gt;R&lt;/i&gt;&lt;sup&gt;2&lt;/sup&gt; = 0.37) when only turbulent periods (&lt;i&gt;u&lt;/i&gt;&lt;sup&gt;&amp;ast;&lt;/sup&gt; &gt; 0.6 m s&lt;sup&gt;−1&lt;/sup&gt;)
were included in the analysis. The large data capture (~95 %
of half-hour periods evaluated) for the IFR in comparison with mKP
(27 %) shows that the former provides new opportunities for studying
&amp;delta;&lt;sup&gt;18&lt;/sup&gt;O-CO&lt;sub&gt;2&lt;/sub&gt; flux dynamics within forest canopies. Values of
&amp;delta;&lt;sup&gt;18&lt;/sup&gt;O&lt;sub&gt;F&lt;/sub&gt; showed large temporal variation, with values ranging
from −31.4 &amp;permil; (DOY 208) to −11.2 &amp;permil; (DOY 221). Precipitation events caused
substantial variation (~8 &amp;permil;) in &amp;delta;&lt;sup&gt;18&lt;/sup&gt;O&lt;sub&gt;F&lt;/sub&gt; over a period
of approximately 24 h. A diel trend of &amp;delta;&lt;sup&gt;18&lt;/sup&gt;O&lt;sub&gt;F&lt;/sub&gt; was observed,
with more enriched values present during the daytime. Model simulations
indicate that the activity of the carbon anhydrase enzyme was very variable
during the evaluated period. These simulations indicate that more frequent
sampling of &amp;delta;&lt;sup&gt;18&lt;/sup&gt;O of soil water could improve the estimates of
&amp;delta;&lt;sup&gt;18&lt;/sup&gt;O of net soil CO&lt;sub&gt;2&lt;/sub&gt; flux.</p>
</abstract>
<counts><page-count count="42"/></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"> Amundson, R., Stern, L., Baisden, T., and Wang, Y.: The isotopic composition of soil and soil-respired CO&lt;sub&gt;2&lt;/sub&gt;, Geoderma, 82, 83–114, 1998. </mixed-citation>
</ref>
<ref id="ref2">
<label>2</label><mixed-citation publication-type="other" xlink:type="simple"> Baldocchi, D. D. and Meyers, T. P.: Trace gas-exchange above the floor of a deciduous forest 1. Evaporation and CO&lt;sub&gt;2&lt;/sub&gt; efflux, J. Geophys. Res.-Atmos., 96, 7271–7285, 1991. </mixed-citation>
</ref>
<ref id="ref3">
<label>3</label><mixed-citation publication-type="other" xlink:type="simple"> Bird, R. B., Stewart, W. E., and Ligthfoot, E. N.: Transport phenomena, Wiley, New York, 2002. </mixed-citation>
</ref>
<ref id="ref4">
<label>4</label><mixed-citation publication-type="other" xlink:type="simple"> Bowling, D. R., Tans, P. P., and Monson, R. K.: Partitioning net ecosystem carbon exchange with isotopic fluxes of CO&lt;sub&gt;2&lt;/sub&gt;, Glob. Change Biol., 7, 127–145, 2001. </mixed-citation>
</ref>
<ref id="ref5">
<label>5</label><mixed-citation publication-type="other" xlink:type="simple"> Bowling, D. R., Mcdowell, N. G., Welker, J. M., Bond, B. J., Law, B. E., and Ehleringer, J. R.: Oxygen isotope content of CO&lt;sub&gt;2&lt;/sub&gt; in nocturnal ecosystem respiration: 2. Short-term dynamics of foliar and soil component fluxes in an old-growth ponderosa pine forest, Global Biogeochem. Cy., 17, 1124, http://dx.doi.org/10.1029/2003GB002082doi:10.1029/2003GB002082, 2003a. </mixed-citation>
</ref>
<ref id="ref6">
<label>6</label><mixed-citation publication-type="other" xlink:type="simple"> Bowling, D. R., Sargent, S. D., Tanner, B. D., and Ehleringer, J. R.: Tunable diode laser absorption spectroscopy for stable isotope studies of ecosystem-atmosphere CO&lt;sub&gt;2&lt;/sub&gt; exchange, Agr. Forest Meteorol., 118, 1–19, 2003b. </mixed-citation>
</ref>
<ref id="ref7">
<label>7</label><mixed-citation publication-type="other" xlink:type="simple"> Bowling, D. R., Burns, S. P., Conway, T. J., Monson, R. K., and White, J. W. C.: Extensive observations of CO&lt;sub&gt;2&lt;/sub&gt; carbon isotope content in and above a high-elevation subalpine forest, Global Biogeochem. Cy., 19, GB3023, http://dx.doi.org/10.1029/2004GB002394doi:10.1029/2004GB002394, 2005. </mixed-citation>
</ref>
<ref id="ref8">
<label>8</label><mixed-citation publication-type="other" xlink:type="simple"> Braud, I., Bariac, T., Gaudet, J. P., and Vauclin, M.: Sispat-isotope, a coupled heat, water and stable isotope (HDO and H$_2^18$O) transport model for bare soil. Part I. Model description and first verifications, J. Hydrol., 309, 277–300, 2005. </mixed-citation>
</ref>
<ref id="ref9">
<label>9</label><mixed-citation publication-type="other" xlink:type="simple"> Brenninkmeijer, C. A. M., Kraft, P., and Mook, W. G.: Oxygen isotope fractionation between CO&lt;sub&gt;2&lt;/sub&gt; and H&lt;sub&gt;2&lt;/sub&gt;O, Isot. Geosci., 1, 181–190, 1983. </mixed-citation>
</ref>
<ref id="ref10">
<label>10</label><mixed-citation publication-type="other" xlink:type="simple"> Buchmann, N., Kao, W. Y., and Ehleringer, J.: Influence of stand structure on carbon-13 of vegetation, soils, and canopy air within deciduous and evergreen forests in Utah, United States, Oecologia, 110, 109–119, 1997. </mixed-citation>
</ref>
<ref id="ref11">
<label>11</label><mixed-citation publication-type="other" xlink:type="simple"> Ciais, P., Tans, P. P., White, J. W. C., Trolier, M., Francey, R. J., Berry, J. A., Randall, D. R., Sellers, P. J., Collatz, J. G., and Schimel, D. S.: Partitioning of ocean and land uptake of CO&lt;sub&gt;2&lt;/sub&gt; as inferred by $\delta ^13$C measurements from the NOAA climate monitoring and diagnostics laboratory global air sampling network, J. Geophys. Res.-Atmos., 100, 5051–5070, 1995. </mixed-citation>
</ref>
<ref id="ref12">
<label>12</label><mixed-citation publication-type="other" xlink:type="simple"> Corrsin, S.: Limitations of gradient transport models in random walks and in turbulence, Adv. Geophys., 18A, 25–60, 1974. </mixed-citation>
</ref>
<ref id="ref13">
<label>13</label><mixed-citation publication-type="other" xlink:type="simple"> Cosby, B. J., Hornberger, G. M., Clapp, R. B., and Ginn, T. R.: A statistical exploration of the relationships of soil-moisture characteristics to the physical-properties of soils, Water Resour. Res., 20, 682–690, 1984. </mixed-citation>
</ref>
<ref id="ref14">
<label>14</label><mixed-citation publication-type="other" xlink:type="simple"> Cuntz, M., Ciais, P., Hoffmann, G., and Knorr, W.: A comprehensive global three-dimensional model of $\delta ^18$O in atmospheric CO&lt;sub&gt;2&lt;/sub&gt;: 1. Validation of surface processes, J. Geophys. Res.-Atmos., 108, 4527, http://dx.doi.org/10.1029/2002JD003153doi:10.1029/2002JD003153, 2003. </mixed-citation>
</ref>
<ref id="ref15">
<label>15</label><mixed-citation publication-type="other" xlink:type="simple"> Davidson, E. A., Savage, K., Verchot, L. V., and Navarro, R.: Minimizing artifacts and biases in chamber-based measurements of soil respiration, Agr. Forest Meteorol., 113, 21–37, 2002. </mixed-citation>
</ref>
<ref id="ref16">
<label>16</label><mixed-citation publication-type="other" xlink:type="simple"> Denmead, O. T. and Bradley, E. F.: On scalar transport in plant canopies, Irrigation Sci., 8, 131–149, 1987. </mixed-citation>
</ref>
<ref id="ref17">
<label>17</label><mixed-citation publication-type="other" xlink:type="simple"> Dolman, A. J. and Wallace, J. S.: Lagrangian and K-theory approaches in modeling evaporation from sparse canopies, Q. J. Roy. Meteorol. Soc., 117, 1325–1340, 1991. </mixed-citation>
</ref>
<ref id="ref18">
<label>18</label><mixed-citation publication-type="other" xlink:type="simple"> Ehleringer, J. R. and Osmond, C. B.: Stable isotopes, in: Plant physiological ecology: field methods and instrumentation, edited by: Pearcy, R. W., Ehleringer, J. R., Mooney, H. A., and Rundel, P. W., Chapman and Hall, London, 1989. </mixed-citation>
</ref>
<ref id="ref19">
<label>19</label><mixed-citation publication-type="other" xlink:type="simple"> Farquhar, G. D. and Cernusak, L. A.: On the isotopic composition of leaf water in the non-steady state, Funct. Plant Biol., 32, 293–303, 2005. </mixed-citation>
</ref>
<ref id="ref20">
<label>20</label><mixed-citation publication-type="other" xlink:type="simple"> Farquhar, G. D., Ehleringer, J. R., and Hubick, K. T.: Carbon isotope discrimination and photosynthesis, Annu. Rev. Plant Phys., 40, 503–537, 1989. </mixed-citation>
</ref>
<ref id="ref21">
<label>21</label><mixed-citation publication-type="other" xlink:type="simple"> Farquhar, G. D., Lloyd, J., Taylor, J. A., Flanagan, L. B., Syvertsen, J. P., Hubick, K. T., Wong, S. C., and Ehleringer, J. R.: Vegetation effects on the isotope composition of oxygen in atmospheric CO&lt;sub&gt;2&lt;/sub&gt;, Nature, 363, 439–443, 1993. </mixed-citation>
</ref>
<ref id="ref22">
<label>22</label><mixed-citation publication-type="other" xlink:type="simple"> Flanagan, L. B., Brooks, J. R., Varney, G. T., and Ehleringer, J. R.: Discrimination against C$^18$O$^16$O during photosynthesis and the oxygen isotope ratio of respired CO&lt;sub&gt;2&lt;/sub&gt; in boreal forest ecosystems, Global Biogeochem. Cy., 11, 83–98, 1997. </mixed-citation>
</ref>
<ref id="ref23">
<label>23</label><mixed-citation publication-type="other" xlink:type="simple"> Flanagan, L. B., Kubien, D. S., and Ehleringer, J. R.: Spatial and temporal variation in the carbon and oxygen stable isotope ratio of respired CO&lt;sub&gt;2&lt;/sub&gt; in a boreal forest ecosystem, Tellus B, 51, 367–384, 1999. </mixed-citation>
</ref>
<ref id="ref24">
<label>24</label><mixed-citation publication-type="other" xlink:type="simple"> Fung, I., Field, C. B., Berry, J. A., Thompson, M. V., Randerson, J. T., Malmstrom, C. M., Vitousek, P. M., Collatz, G. J., Sellers, P. J., Randall, D. A., Denning, A. S., Badeck, F., and John, J.: Carbon 13 exchanges between the atmosphere and biosphere, Global Biogeochem. Cy., 11, 507–533, 1997. </mixed-citation>
</ref>
<ref id="ref25">
<label>25</label><mixed-citation publication-type="other" xlink:type="simple"> Gillon, J. and Yakir, D.: Influence of carbonic anhydrase activity in terrestrial vegetation on the $^18$O content of atmospheric CO&lt;sub&gt;2&lt;/sub&gt;, Science, 291, 2584–2587, 2001. </mixed-citation>
</ref>
<ref id="ref26">
<label>26</label><mixed-citation publication-type="other" xlink:type="simple"> Griffis, T. J., Baker, J. M., Sargent, S. D., Tanner, B. D., and Zhang, J.: Measuring field-scale isotopic CO&lt;sub&gt;2&lt;/sub&gt; fluxes with tunable diode laser absorption spectroscopy and micrometeorological techniques, Agr. Forest Meteorol., 124, 15–29, 2004. </mixed-citation>
</ref>
<ref id="ref27">
<label>27</label><mixed-citation publication-type="other" xlink:type="simple"> Griffis, T. J., Baker, J. M., and Zhang, J.: Seasonal dynamics and partitioning of isotopic CO&lt;sub&gt;2&lt;/sub&gt; exchange in C&lt;sub&gt;3&lt;/sub&gt;/C&lt;sub&gt;4&lt;/sub&gt; managed ecosystem, Agr. Forest Meteorol., 132, 1–19, 2005a. </mixed-citation>
</ref>
<ref id="ref28">
<label>28</label><mixed-citation publication-type="other" xlink:type="simple"> Griffis, T. J., Lee, X., Baker, J. M., Sargent, S. D., and King, J. Y.: Feasibility of quantifying ecosystem-atmosphere C$^18$O$^16$O exchange using laser spectroscopy and the flux-gradient method, Agri. Forest Meteorol., 135, 44–60, 2005b. </mixed-citation>
</ref>
<ref id="ref29">
<label>29</label><mixed-citation publication-type="other" xlink:type="simple"> Griffis, T. J., Zhang, J., Baker, J. M., Kljun, N., and Billmark, K.: Determining carbon isotope signatures from micrometeorological measurements: implications for studying biosphere-atmosphere exchange processes, Bound.-Lay. Meteorol., 123, 295–316, 2007. </mixed-citation>
</ref>
<ref id="ref30">
<label>30</label><mixed-citation publication-type="other" xlink:type="simple"> Griffis, T. J., Sargent, S. D., Baker, J. M., Lee, X., Tanner, B. D., Greene, J., Swiatek, E., and Billmark, K.: Direct measurement of biosphere-atmosphere isotopic CO&lt;sub&gt;2&lt;/sub&gt; exchange using the eddy covariance technique, J. Geophys. Res.-Atmos., 113, D08304, http://dx.doi.org/10.1029/2007JD009297doi:10.1029/2007JD009297, 2008. </mixed-citation>
</ref>
<ref id="ref31">
<label>31</label><mixed-citation publication-type="other" xlink:type="simple"> Griffis, T. J., Sargent, S. D., Lee, X., Baker, J. M., Greene, J., Erickson, M., Zhang, X., Billmark, K., Schultz, N., Xiao, W., and Hu, N.: Determining the oxygen isotope composition of evapotranspiration using eddy covariance, Bound.-Lay. Meteorol., 137, 307–326, 2010. </mixed-citation>
</ref>
<ref id="ref32">
<label>32</label><mixed-citation publication-type="other" xlink:type="simple"> Haverd, V., Leuning, R., Griffith, D., Van Gorsel, E., and Cuntz, M.: The turbulent Lagrangian time scale in forest canopies constrained by fluxes, concentrations and source distributions, Bound.-Lay. Meteorol., 130, 209–228, 2009. </mixed-citation>
</ref>
<ref id="ref33">
<label>33</label><mixed-citation publication-type="other" xlink:type="simple"> Kammer, A., Tuzson, B., Emmenegger, L., Knohl, A., Mohn, J., and Hagedorn, F.: Application of a quantum cascade laser-based spectrometer in a closed chamber system for real-time $\delta ^13$C and $\delta ^18$O measurements of soil-respired CO&lt;sub&gt;2&lt;/sub&gt;, Agr. Forest Meteorol., 151, 39–48, 2011. </mixed-citation>
</ref>
<ref id="ref34">
<label>34</label><mixed-citation publication-type="other" xlink:type="simple"> Keeling, C. D.: The concentration and isotopic abundances of atmospheric carbon dioxide in rural areas, Geochim. Cosmochim. Ac., 13, 322–334, 1958. </mixed-citation>
</ref>
<ref id="ref35">
<label>35</label><mixed-citation publication-type="other" xlink:type="simple"> Law, B. E., Ryan, M. G., and Anthoni, P. M.: Seasonal and annual respiration of a Ponderosa Pine ecosystem, Glob. Change Biol., 5, 169–182, 1999. </mixed-citation>
</ref>
<ref id="ref36">
<label>36</label><mixed-citation publication-type="other" xlink:type="simple"> Lee, X. H., Fuentes, J. D., Staebler, R. M.,and Neumann, H. H.: Long-term observation of the atmospheric exchange of CO&lt;sub&gt;2&lt;/sub&gt; with a temperate deciduous forest in Southern Ontario, Canada, J. Geophys. Res.-Atmos., 104, 15975–15984, 1999. </mixed-citation>
</ref>
<ref id="ref37">
<label>37</label><mixed-citation publication-type="other" xlink:type="simple"> Lee, X. H., Sargent, S., Smith, R., and Tanner, B.: In situ measurement of the water vapor $^18$O/$^16$O isotope ratio for atmospheric and ecological applications, J. Atmos. Ocean. Tech., 22, 555–565, 2005. </mixed-citation>
</ref>
<ref id="ref38">
<label>38</label><mixed-citation publication-type="other" xlink:type="simple"> Leuning, R.: Estimation of scalar source/sink distributions in plant canopies using Lagrangian dispersion analysis: corrections for atmospheric stability and comparison with a multilayer canopy model, Bound.-Lay. Meteorol., 96, 293–314, 2000. </mixed-citation>
</ref>
<ref id="ref39">
<label>39</label><mixed-citation publication-type="other" xlink:type="simple"> Leuning, R., Denmead, O. T., Miyata, A., and Kim, J.: Source/sink distributions of heat, water vapour, carbon dioxide and methane in a rice canopy estimated using Lagrangian dispersion analysis, Agr. Forest Meteorol., 104, 233–249, 2000. </mixed-citation>
</ref>
<ref id="ref40">
<label>40</label><mixed-citation publication-type="other" xlink:type="simple"> Miller, J. B., Yakir, D., White, J. W. C., and Tans, P. P.: Measurement of $^18$O/$^16$O in the soil-atmosphere CO&lt;sub&gt;2&lt;/sub&gt; flux, Global Biogeochem. Cy., 13, 761–774, 1999. </mixed-citation>
</ref>
<ref id="ref41">
<label>41</label><mixed-citation publication-type="other" xlink:type="simple"> Moldrup, P., Olesen, T., Komatsu, T., Yoshikawa, S., Schjonning, P., and Rolston, D. E.: Modeling diffusion and reaction in soils: X. A unifying model for solute and gas diffusivity in unsaturated soil, Soil Sci., 168, 321–337, 2003. </mixed-citation>
</ref>
<ref id="ref42">
<label>42</label><mixed-citation publication-type="other" xlink:type="simple"> Neumann, H. H. and den Hartog, G.: Leaf-area measurements based on hemispheric photographs and leaf-litter collection in a deciduous forest during autumn leaf-fall, Agr. Forest Meteorol., 45, 325–345, 1989. </mixed-citation>
</ref>
<ref id="ref43">
<label>43</label><mixed-citation publication-type="other" xlink:type="simple"> Ogée, J., Peylin, P., Cuntz, M., Bariac, T., Brunet, Y., Berbigier, P., Richard, P., and Ciais, P.: Partitioning net ecosystem carbon exchange into net assimilation and respiration with canopy-scale isotopic measurements: an error propagation analysis with $^13$CO&lt;sub&gt;2&lt;/sub&gt; and CO$^18$O data, Global Biogeochem. Cy., 18, GB2019, http://dx.doi.org/10.1029/2003GB002166doi:10.1029/2003GB002166, 2004. </mixed-citation>
</ref>
<ref id="ref44">
<label>44</label><mixed-citation publication-type="other" xlink:type="simple"> Ohkubo, S., Kosugi, Y., Takanashi, S., Mitani, T., and Tani, M.: Comparison of the eddy covariance and automated closed chamber methods for evaluating nocturnal CO&lt;sub&gt;2&lt;/sub&gt; exchange in a Japanese Cypress forest, Agr. Forest Meteorol., 142, 50–65, 2007. </mixed-citation>
</ref>
<ref id="ref45">
<label>45</label><mixed-citation publication-type="other" xlink:type="simple"> Pataki, D. E., Ehleringer, J. R., Flanagan, L. B., Yakir, D., Bowling, D. R., Still, C. J., Buchmann, N., Kaplan, J. O., and Berry, J. A.: The application and interpretation of Keeling plots in terrestrial carbon cycle research, Global Biogeochem. Cy., 17, 1022, http://dx.doi.org/10.1029/2001GB001850doi:10.1029/2001GB001850, 2003. </mixed-citation>
</ref>
<ref id="ref46">
<label>46</label><mixed-citation publication-type="other" xlink:type="simple"> Qiu, G. and Warland, J. S.: Inferring profiles of energy fluxes within a soybean canopy using Lagrangian analysis, Agr. Forest Meteorol., 139, 119–137, 2006. </mixed-citation>
</ref>
<ref id="ref47">
<label>47</label><mixed-citation publication-type="other" xlink:type="simple"> Raupach, M. R.: A Lagrangian analysis of scalar transfer in vegetation canopies, Q. J. Roy. Meteorol. Soc., 113, 107–120, 1987. </mixed-citation>
</ref>
<ref id="ref48">
<label>48</label><mixed-citation publication-type="other" xlink:type="simple"> Raupach, M. R.: A practical Lagrangian method for relating scalar concentrations to source distributions in vegetation canopies, Q. J. Roy. Meteorol. Soc., 115, 609–632, 1989a. </mixed-citation>
</ref>
<ref id="ref49">
<label>49</label><mixed-citation publication-type="other" xlink:type="simple"> Raupach, M. R.: Applying Lagrangian fluid-mechanics to infer scalar source distributions from concentration profiles in plant canopies, Agr. Forest Meteorol., 47, 85–108, 1989b. </mixed-citation>
</ref>
<ref id="ref50">
<label>50</label><mixed-citation publication-type="other" xlink:type="simple"> Riley, W. J.: A modeling study of the impact of the $\delta ^18$O value of near-surface soil water on the delta $^18$O value of the soil-surface CO&lt;sub&gt;2&lt;/sub&gt; flux, Geochim. Cosmochim. Ac., 69, 1939–1946, 2005. </mixed-citation>
</ref>
<ref id="ref51">
<label>51</label><mixed-citation publication-type="other" xlink:type="simple"> Riley, W. J., Still, C. J., Helliker, B. R., Ribas-Carbo, M., and Berry, J. A.: $^18$O composition of CO&lt;sub&gt;2&lt;/sub&gt; and H&lt;sub&gt;2&lt;/sub&gt;O ecosystem pools and fluxes in a tallgrass prairie: simulations and comparisons to measurements, Glob. Change Biol., 9, 1567–1581, 2003. </mixed-citation>
</ref>
<ref id="ref52">
<label>52</label><mixed-citation publication-type="other" xlink:type="simple"> Rochette, P., Flanagan, L. B., and Gregorich, E. G.: Separating soil respiration into plant and soil components using analyses of the natural abundance of carbon-13, Soil Sci. Soc. Am. J., 63, 1207–1213, 1999. </mixed-citation>
</ref>
<ref id="ref53">
<label>53</label><mixed-citation publication-type="other" xlink:type="simple"> Santos, E. A., Wagner-Riddle, C., Warland, J. S., and Brown, S.: Applying a lagrangian dispersion analysis to infer carbon dioxide and latent heat fluxes in a corn canopy, Agr. Forest Meteorol., 151, 620–632, 2011. </mixed-citation>
</ref>
<ref id="ref54">
<label>54</label><mixed-citation publication-type="other" xlink:type="simple"> Saxton, K. E. and Willey, P. H.: The SPAW model for agricultural field and pond hydrologic simulation, in: Watershed models, edited by: Frevert, D. K. and Singh, V. P., 2006. </mixed-citation>
</ref>
<ref id="ref55">
<label>55</label><mixed-citation publication-type="other" xlink:type="simple"> Seibt, U., Wingate, L., Lloyd, J., and Berry, J. A.: Diurnally variable $\delta ^18$O signatures of soil CO&lt;sub&gt;2&lt;/sub&gt; fluxes indicate carbonic anhydrase activity in a forest soil, J. Geophys. Res.-Biogeo., 111, G04005, http://dx.doi.org/10.1029/2006JG000177doi:10.1029/2006JG000177, 2006. </mixed-citation>
</ref>
<ref id="ref56">
<label>56</label><mixed-citation publication-type="other" xlink:type="simple"> Skirrow, G.: The dissolved gases: carbon dioxide, in: Chemical Oceanography, edited by: Riley, J. P. and Skirrow, G., Academic Press, San Diego, CA, 1975. </mixed-citation>
</ref>
<ref id="ref57">
<label>57</label><mixed-citation publication-type="other" xlink:type="simple"> Styles, J. M., Raupach, M. R., Farquhar, G. D., Kolle, O., Lawton, K. A., Brand, W. A., Werner, R. A., Jordan, A., Schulze, E. D., Shibistova, O., and Lloyd, J.: Soil and canopy CO&lt;sub&gt;2&lt;/sub&gt;, $^13$CO&lt;sub&gt;2&lt;/sub&gt;, H&lt;sub&gt;2&lt;/sub&gt;O and sensible heat flux partitions in a forest canopy inferred from concentration measurements, Tellus B, 54, 655–676, 2002. </mixed-citation>
</ref>
<ref id="ref58">
<label>58</label><mixed-citation publication-type="other" xlink:type="simple"> Tans, P. P.: Oxygen isotopic equilibrium between carbon dioxide and water in soils, Tellus B, 50, 163–178, 1998. </mixed-citation>
</ref>
<ref id="ref59">
<label>59</label><mixed-citation publication-type="other" xlink:type="simple"> Tans, P. P., Berry, J. A., and Keeling, R. F.: Oceanic C-13/C-12 Observations – a New Window on Ocean Co&lt;sub&gt;2&lt;/sub&gt; Uptake, Global Biogeochem. Cy., 7, 353–368, 1993. </mixed-citation>
</ref>
<ref id="ref60">
<label>60</label><mixed-citation publication-type="other" xlink:type="simple"> Taylor, G.: Diffusion by continuous movements, Proceedings London Mathematical Society, 20, 196–211, 1921. </mixed-citation>
</ref>
<ref id="ref61">
<label>61</label><mixed-citation publication-type="other" xlink:type="simple"> Teklemariam, T., Staebler, R. M., and Barr, A. G.: Eight years of carbon dioxide exchange above a mixed forest at Borden, Ontario, Agr. Forest Meteorol., 149, 2040–2053, 2009. </mixed-citation>
</ref>
<ref id="ref62">
<label>62</label><mixed-citation publication-type="other" xlink:type="simple"> Tuzson, B., Mohn, J., Zeeman, M. J., Werner, R. A., Eugster, W., Zahniser, M. S., Nelson, D. D., Mcmanus, J. B., and Emmenegger, L.: High precision and continuous field measurements of $\delta ^13$C and $\delta ^18$O in carbon dioxide with a cryogen-free QCLAS, Appl. Phys. B-Lasers O., 92, 451–458, 2008. </mixed-citation>
</ref>
<ref id="ref63">
<label>63</label><mixed-citation publication-type="other" xlink:type="simple"> Wagner-Riddle, C., Thurtell, G. W., and Edwards, G. C.: Trace gas concentration measurements for micrometeorological flux quantification, in: Micrometerology in agricultural systems. Agronomy Monography, edited by: Hatfield, J. L., and Baker, J. M., AASA, CSSA, SSSA, Madson, WI, USA., 2005. </mixed-citation>
</ref>
<ref id="ref64">
<label>64</label><mixed-citation publication-type="other" xlink:type="simple"> Warland, J. S. and Thurtell, G. W.: A Lagrangian solution to the relationship between a distributed source and concentration profile, Bound.-Lay. Meteorol., 96, 453–471, 2000. </mixed-citation>
</ref>
<ref id="ref65">
<label>65</label><mixed-citation publication-type="other" xlink:type="simple"> Weiss, R. F.: Carbon dioxide in water and seawater: the solubility of a non-ideal gas, Mar. Chem., 2, 203–215, 1974. </mixed-citation>
</ref>
<ref id="ref66">
<label>66</label><mixed-citation publication-type="other" xlink:type="simple"> Welp, L. R., Lee, X., Kim, K., Griffis, T. J., Billmark, K. A., and Baker, J. M.: $\delta ^18$O of water vapour, evapotranspiration and the sites of leaf water evaporation in a soybean canopy, Plant Cell Environ., 31, 1214–1228, 2008. </mixed-citation>
</ref>
<ref id="ref67">
<label>67</label><mixed-citation publication-type="other" xlink:type="simple"> Wilson, J. D.: Turbulent transport within the plant canopy, in: Estimation of areal evapotranspiration, edited by: Black, T. A., Spittlehouse, D. L., Novak, M. D., and Price, D. T., IAHS Publication 177, Wallingford, U.K., 1989. </mixed-citation>
</ref>
<ref id="ref68">
<label>68</label><mixed-citation publication-type="other" xlink:type="simple"> Wingate, L., Seibt, U., Maseyk, K., Ogee, J., Almeida, P., Yakir, D., Pereira, J. S., and Mencuccini, M.: Evaporation and carbonic anhydrase activity recorded in oxygen isotope signatures of net CO&lt;sub&gt;2&lt;/sub&gt; fluxes from a Mediterranean soil, Glob. Change Biol., 14, 2178–2193, 2008. </mixed-citation>
</ref>
<ref id="ref69">
<label>69</label><mixed-citation publication-type="other" xlink:type="simple"> Wingate, L., Ogee, J., Cuntz, M., Genty, B., Reiter, I., Seibt, U., Yakir, D., Maseyk, K., Pendall, E. G., Barbour, M. M., Mortazavi, B., Burlett, R., Peylin, P., Miller, J., Mencuccini, M., Shim, J. H., Hunt, J., and Grace, J.: The impact of soil microorganisms on the global budget of $\delta ^18$O in atmospheric CO&lt;sub&gt;2&lt;/sub&gt;, P. Natl. Acad. Sci. USA, 106, 22411–22415, 2009. </mixed-citation>
</ref>
<ref id="ref70">
<label>70</label><mixed-citation publication-type="other" xlink:type="simple"> Wingate, L., Ogee, J., Burlett, R., and Bosc, A.: Strong seasonal disequilibrium measured between the oxygen isotope signals of leaf and soil CO&lt;sub&gt;2&lt;/sub&gt; exchange, Glob. Change Biol., 16, 3048–3064, 2010. </mixed-citation>
</ref>
<ref id="ref71">
<label>71</label><mixed-citation publication-type="other" xlink:type="simple"> Wu, A., Black, A., Verseghy, D. L., and Bailey, W. G.: Comparison of Two-Layer and Single-Layer Canopy Models With Lagrangian and K-Theory Approaches in Modelling Evaporation From Forests, Int. J. Climatol., 21, 1821–1839, 2001. </mixed-citation>
</ref>
<ref id="ref72">
<label>72</label><mixed-citation publication-type="other" xlink:type="simple"> Xiao, W., Lee, X., Griffis, T. J., Kim, K., Welp, L. R., and Yu, Q.: A modeling investigation of canopy-air oxygen isotopic exchange of water vapor and carbon dioxide in a soybean field, J. Geophys. Res.-Biogeo., 115, G01004, http://dx.doi.org/10.1029/2009JG001163doi:10.1029/2009JG001163, 2010. </mixed-citation>
</ref>
<ref id="ref73">
<label>73</label><mixed-citation publication-type="other" xlink:type="simple"> Yakir, D. and Sternberg, L. D. L.: The use of stable isotopes to study ecosystem gas exchange, Oecologia, 123, 297–311, 2000. </mixed-citation>
</ref>
<ref id="ref74">
<label>74</label><mixed-citation publication-type="other" xlink:type="simple"> Yakir, D. and Wang, X. F.: Fluxes of CO&lt;sub&gt;2&lt;/sub&gt; and water between terrestrial vegetation and the atmosphere estimated from isotope measurements, Nature, 380, 515–517, 1996. </mixed-citation>
</ref>
<ref id="ref75">
<label>75</label><mixed-citation publication-type="other" xlink:type="simple"> Zhang, J., Griffis, T. J., and Baker, J. M.: Using continuous stable isotope measurements to partition net ecosystem CO&lt;sub&gt;2&lt;/sub&gt; exchange, Plant Cell Environ., 29, 483–496, 2006. </mixed-citation>
</ref>
<ref id="ref76">
<label>76</label><mixed-citation publication-type="other" xlink:type="simple"> Zobitz, J. M., Keener, J. P., Schnyder, H., and Bowling, D. R.: Sensitivity analysis and quantification of uncertainty for isotopic mixing relationships in carbon cycle research, Agr. Forest Meteorol., 136, 56–75, 2006. </mixed-citation>
</ref>
</ref-list>
</back>
</article>