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<front>
<journal-meta>
<journal-id journal-id-type="publisher">BG</journal-id>
<journal-title-group>
<journal-title>Biogeosciences</journal-title>
<abbrev-journal-title abbrev-type="publisher">BG</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Biogeosciences</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1726-4189</issn>
<publisher><publisher-name>Copernicus Publications</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.5194/bg-9-2921-2012</article-id>
<title-group>
<article-title>Reply to Nicholson&apos;s comment on &quot;Consistent calculation of  aquatic gross production from oxygen triple isotope measurements&quot; by Kaiser (2011)</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Kaiser</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>Abe</surname>
<given-names>O.</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, University of East Anglia, Norwich,  UK</addr-line>
</aff>
<aff id="aff2">
<label>2</label>
<addr-line>Graduate School of Environmental Studies, Nagoya University, Nagoya,  Japan</addr-line>
</aff>
<pub-date pub-type="epub">
<day>03</day>
<month>08</month>
<year>2012</year>
</pub-date>
<volume>9</volume>
<issue>8</issue>
<fpage>2921</fpage>
<lpage>2933</lpage>
<permissions>
<copyright-statement>Copyright: &#x000a9; 2012 J. Kaiser</copyright-statement>
<copyright-year>2012</copyright-year>
<license license-type="open-access">
<license-p>This work is licensed under the Creative Commons Attribution 3.0 Unported License. To view a copy of this licence, visit <ext-link ext-link-type="uri"  xlink:href="https://creativecommons.org/licenses/by/3.0/">https://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions>
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<abstract>
<p>The comment by Nicholson (2011a) questions the &quot;consistency&quot;
of the &quot;definition&quot; of the &quot;biological end-member&quot; used by Kaiser (2011a)
 in the calculation of oxygen gross production. &quot;Biological
end-member&quot; refers to the relative oxygen isotope ratio difference between
photosynthetic oxygen and Air-O&lt;sub&gt;2&lt;/sub&gt; (abbreviated &lt;sup&gt;17&lt;/sup&gt;&amp;delta;&lt;sub&gt;P&lt;/sub&gt;
and &lt;sup&gt;18&lt;/sup&gt;&amp;delta;&lt;sub&gt;P&lt;/sub&gt; for &lt;sup&gt;17&lt;/sup&gt;O/&lt;sup&gt;16&lt;/sup&gt;O and &lt;sup&gt;18&lt;/sup&gt;O/&lt;sup&gt;16&lt;/sup&gt;O,
respectively). The comment claims that this leads to an overestimate of the
discrepancy between previous studies and that the resulting gross production
rates are &quot;30% too high&quot;.

Nicholson recognises the improved accuracy of Kaiser&apos;s direct calculation
(&quot;dual-delta&quot;) method compared to previous approximate approaches based on
&lt;sup&gt;17&lt;/sup&gt;O excess (&lt;sup&gt;17&lt;/sup&gt;&amp;Delta;) and its simplicity compared to previous iterative
calculation methods. Although he correctly points out that differences in
the normalised gross production rate (&lt;i&gt;g&lt;/i&gt;) are largely due to different input
parameters used in Kaiser&apos;s &quot;base case&quot; and previous studies, he does not
acknowledge Kaiser&apos;s observation that iterative and dual-delta calculation
methods give exactly the same &lt;i&gt;g&lt;/i&gt; for the same input parameters (disregarding
kinetic isotope fractionation during air-sea exchange). The comment is based
on misunderstandings with respect to the &quot;base case&quot; &lt;sup&gt;17&lt;/sup&gt;&amp;delta;&lt;sub&gt;P&lt;/sub&gt;
and &lt;sup&gt;18&lt;/sup&gt;&amp;delta;&lt;sub&gt;P&lt;/sub&gt; values. Since direct measurements of
&lt;sup&gt;17&lt;/sup&gt;&amp;delta;&lt;sub&gt;P&lt;/sub&gt; and &lt;sup&gt;18&lt;/sup&gt;&amp;delta;&lt;sub&gt;P&lt;/sub&gt;do not exist or have been
lost, Kaiser constructed the &quot;base case&quot; in a way that was consistent and
compatible with literature data. Nicholson showed that an alternative
reconstruction of &lt;sup&gt;17&lt;/sup&gt;&amp;delta;&lt;sub&gt;P&lt;/sub&gt; gives &lt;i&gt;g&lt;/i&gt; values closer to previous
studies. However, unlike Nicholson, we refrain from interpreting
either reconstruction as a benchmark for the accuracy of &lt;i&gt;g&lt;/i&gt;.

A number of publications over the last 12 months have tried to establish
which of these two reconstructions is more accurate. Nicholson draws on
recently revised measurements of the relative &lt;sup&gt;17&lt;/sup&gt;O/&lt;sup&gt;16&lt;/sup&gt;O difference
between VSMOW and Air-O&lt;sub&gt;2&lt;/sub&gt; (&lt;sup&gt;17&lt;/sup&gt;&amp;delta;&lt;sub&gt;VSMOW&lt;/sub&gt;; Barkan and Luz,
2011), together with new measurements of photosynthetic isotope
fractionation, to support his comment. However, our own measurements
disagree with these revised &lt;sup&gt;17&lt;/sup&gt;&amp;delta;&lt;sub&gt;VSMOW&lt;/sub&gt; values. If scaled for
differences in &lt;sup&gt;18&lt;/sup&gt;&amp;delta;&lt;sub&gt;VSMOW&lt;/sub&gt;, they are actually in good
agreement with the original data (Barkan and Luz, 2005) and support
Kaiser&apos;s &quot;base case&quot; &lt;i&gt;g&lt;/i&gt; values. The statement that Kaiser&apos;s &lt;i&gt;g&lt;/i&gt; values are &quot;30% too high&quot; can therefore not be accepted, pending future work to
reconcile different &lt;sup&gt;17&lt;/sup&gt;&amp;delta;&lt;sub&gt;VSMOW&lt;/sub&gt; measurements.

Nicholson also suggests that approximated calculations of gross production
should be performed with a triple isotope excess defined as &lt;sup&gt;17&lt;/sup&gt;&amp;Delta;&lt;sup&gt;#&lt;/sup&gt;&amp;equiv;  ln (1+&lt;sup&gt;17&lt;/sup&gt;&amp;delta;)–&amp;lambda;
ln(1+&lt;sup&gt;18&lt;/sup&gt;&amp;delta;), with &amp;lambda;  =  &amp;theta;&lt;sub&gt;R&lt;/sub&gt;  =
ln(1+&lt;sup&gt;17&lt;/sup&gt;&amp;varepsilon;&lt;sub&gt;R&lt;/sub&gt; ) / ln(1+&lt;sup&gt;18&lt;/sup&gt;&amp;varepsilon;&lt;sub&gt;R&lt;/sub&gt;).
However, this only improves the approximation for certain &lt;sup&gt;17&lt;/sup&gt;&amp;delta;&lt;sub&gt;P&lt;/sub&gt;
 and &lt;sup&gt;18&lt;/sup&gt;&amp;delta;&lt;sub&gt;P&lt;/sub&gt; values, for certain net to gross
production ratios (&lt;i&gt;f&lt;/i&gt;) and for certain ratios of gross production to gross
Air-O&lt;sub&gt;2&lt;/sub&gt; invasion (&lt;i&gt;g&lt;/i&gt;). In other cases, the approximated calculation based
on &lt;sup&gt;17&lt;/sup&gt;&amp;Delta;&lt;sup&gt;&amp;dagger;&lt;/sup&gt;  &amp;equiv;&lt;sup&gt;17&lt;/sup&gt;&amp;delta; – &amp;kappa; &lt;sup&gt;18&lt;/sup&gt;&amp;delta; with &amp;kappa;  =  &amp;gamma;&lt;sub&gt;R&lt;/sub&gt;  =
&lt;sup&gt;17&lt;/sup&gt;&amp;varepsilon;&lt;sub&gt;R&lt;/sub&gt;/&lt;sup&gt;18&lt;/sup&gt;&amp;varepsilon;&lt;sub&gt;R&lt;/sub&gt; (Kaiser, 2011a)
gives more accurate results.</p>
</abstract>
<counts><page-count count="13"/></counts>
</article-meta>
</front>
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<back>
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