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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 GmbH</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>

    <article-meta>
      <article-id pub-id-type="doi">10.5194/bg-12-3819-2015</article-id><title-group><article-title>The stable isotopic composition of  <italic>Daphnia</italic> ephippia
reflects changes in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values of food and water</article-title>
      </title-group><?xmltex \runningtitle{The stable isotopic composition of  \textit{Daphnia} ephippia}?><?xmltex \runningauthor{J.~Schilder et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Schilder</surname><given-names>J.</given-names></name>
          <email>j.c.schilder@gmail.com</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff3 aff7">
          <name><surname>Tellenbach</surname><given-names>C.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff3">
          <name><surname>Möst</surname><given-names>M.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff3">
          <name><surname>Spaak</surname><given-names>P.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff4">
          <name><surname>van Hardenbroek</surname><given-names>M.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5 aff6">
          <name><surname>Wooller</surname><given-names>M. J.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Heiri</surname><given-names>O.</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Institute of Plant Sciences and Oeschger Centre for Climate Change Research, University of Bern, Altenbergrain 21, 3013 Bern, Switzerland</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Aquatic Ecology, Eawag, Überlandstrasse 133, 8600 Dübendorf, Switzerland</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Institute of Integrative Biology, ETH Zurich, Zurich, Switzerland</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Geography and Environment, University of Southampton, Southampton SO17 1BJ, UK</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>University of Alaska, School of Fisheries and Ocean Sciences, Fairbanks, AK 99775-7220, USA</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Alaska Stable Isotope Facility, Water and Environmental Research Center, Institute of Northern Engineering 99775, Fairbanks, AK 99775-7220, USA</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>University of Birmingham, School of Biosciences, Environmental Genomics Group, B15 2TT Birmingham, UK</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">J. Schilder (j.c.schilder@gmail.com)</corresp></author-notes><pub-date><day>23</day><month>June</month><year>2015</year></pub-date>
      
      <volume>12</volume>
      <issue>12</issue>
      <fpage>3819</fpage><lpage>3830</lpage>
      <history>
        <date date-type="received"><day>27</day><month>October</month><year>2014</year></date>
           <date date-type="rev-request"><day>4</day><month>February</month><year>2015</year></date>
           <date date-type="rev-recd"><day>25</day><month>May</month><year>2015</year></date>
           <date date-type="accepted"><day>26</day><month>May</month><year>2015</year></date>
      </history>
      <permissions>
<license license-type="open-access">
<license-p>This work is licensed under a Creative Commons Attribution 3.0 Unported License. To view a copy of this license, visit <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/3.0/">http://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions><self-uri xlink:href="https://bg.copernicus.org/articles/12/3819/2015/bg-12-3819-2015.html">This article is available from https://bg.copernicus.org/articles/12/3819/2015/bg-12-3819-2015.html</self-uri>
<self-uri xlink:href="https://bg.copernicus.org/articles/12/3819/2015/bg-12-3819-2015.pdf">The full text article is available as a PDF file from https://bg.copernicus.org/articles/12/3819/2015/bg-12-3819-2015.pdf</self-uri>


      <abstract>
    <p>The stable isotopic composition of fossil resting eggs (ephippia) of
<italic>Daphnia</italic> spp. is being used to reconstruct past environmental conditions in lake
ecosystems. However, the underlying assumption that the stable isotopic
composition of the ephippia reflects the stable isotopic composition of the
parent <italic>Daphnia</italic>, of their diet and of the environmental water have yet to be
confirmed in a controlled experimental setting. We performed experiments
with <italic>Daphnia pulicaria</italic> cultures, which included a control treatment
conducted at 12 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C in filtered lake water and with a diet of fresh algae and
three treatments in which we manipulated the stable carbon isotopic
composition (<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C value) of the algae, stable oxygen isotopic
composition (<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O value) of the water and the water
temperature, respectively. The stable nitrogen isotopic composition (<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N value) of the algae was similar for all treatments. At 12 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, differences in algal <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values and in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values of water were reflected in those of <italic>Daphnia</italic>. The differences
between ephippia and <italic>Daphnia</italic> stable isotope ratios were similar in the different
treatments (<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C: <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>0.2 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.4 ‰
(standard deviation); <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N: <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.6 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.4 ‰; <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O: <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.9 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.4 ‰), indicating that changes in dietary <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C
values and in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values of water are passed on to these
fossilizing structures. A higher water temperature (20 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C)
resulted in lower <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values in <italic>Daphnia</italic> and ephippia than in the
other treatments with the same food source and in a minor change in the
difference between <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values of ephippia and <italic>Daphnia</italic> (to <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.3 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.3 ‰). This may have been due to microbial
processes or increased algal respiration rates in the experimental
containers, which may not affect <italic>Daphnia</italic> in natural environments. There was no
significant difference in the offset between <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N values of ephippia and <italic>Daphnia</italic> between the 12 and 20 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C
treatments, but the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values of <italic>Daphnia</italic> and ephippia  were
on average 1.2 ‰ lower at 20 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C than at 12 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. We conclude that the stable isotopic composition of
<italic>Daphnia</italic> ephippia provides information on that of the parent <italic>Daphnia</italic> and of the food and
water they were exposed to, with small offsets between <italic>Daphnia</italic> and ephippia
relative to variations in <italic>Daphnia</italic> stable isotopic composition reported from
downcore studies. However, our experiments also indicate that temperature
may have a minor influence on the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C, <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N and
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values of <italic>Daphnia</italic> body tissue and ephippia. This aspect deserves
attention in further controlled experiments.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>The strong, positive relationships between the stable carbon isotopic
composition (expressed as <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values) of organisms and that of
their diet can allow the identification of the autotrophic sources of
organic matter at the base of a food web (DeNiro and Epstein, 1978; Vander
Zanden and Rasmussen, 1999; McCutchan et al., 2003). Likewise, stable
nitrogen isotope ratios (expressed as <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N values) can be used
to estimate the trophic position of consumers in food webs (DeNiro and
Epstein, 1981; Minagawa and Wada, 1984), and stable oxygen isotope ratios
(expressed as <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values) have been found to reflect those of
the water in the environment that organisms live in (Hobson, 2008; Soto et al.,
2013).</p>
      <p>Approaches are continuing to be developed that apply stable isotope ratio
analysis to chitinous remains of aquatic invertebrates preserved in lake
sediments (Heiri et al., 2012; Leng and Henderson, 2013). For example, the
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values of the fossil head capsules of benthic larvae of
non-biting midges (Chironomidae) and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values of the remains of water fleas of the
genus <italic>Daphnia</italic> (Cladocera) have been used to investigate past changes in carbon
cycling and energy pathways in lake food webs (Perga, 2011; Wooller et al.,
2012; van Hardenbroek et al., 2013; Belle et al., 2014; Frossard et al.,
2014). The <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N values of chironomid head capsules and of
<italic>Daphnia</italic> resting eggs (ephippia) have also been examined to investigate changes in
nitrogen sources in an arctic lake (Griffiths et al., 2010). Past variations
in lake water <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values have been reconstructed by analyzing
the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values of fossil chironomid head capsules (Wooller et
al., 2004; Verbruggen et al., 2010b), and a correspondence has been found
between <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values of lake water and of chironomid head
capsules and <italic>Daphnia</italic> ephippia buried in surface sediments (Verbruggen et al.,
2011).</p>
      <p><italic>Daphnia</italic> can occur in high abundances and often dominate the zooplankton community
in lakes (Lampert, 2011). Being first-order consumers of algae, bacteria and
detritus (Geller and Müller, 1981; Gophen and Geller, 1984; Kamjunke et
al., 1999; Lampert, 2011), they form an important link between primary
production and the higher orders of the pelagic food web. This makes
<italic>Daphnia</italic> particularly suited for ecological investigations of freshwater ecosystems
and food webs using stable isotopes. While <italic>Daphnia</italic> usually reproduce
parthenogenetically, they may also reproduce sexually. Environmental cues
such as food availability, photoperiod and population density (Kleiven et
al., 1992; Cáceres and Tessier, 2004) may trigger sexual reproduction,
upon which eggs are formed enclosed by rigid sheaths (ephippia). The
chitinous ephippia are found abundantly in a wide range of lake sediment
types and remain well preserved in sediments hundreds to thousands of years
old (Szeroczyńska and Samarja-Korjonen, 2007). Since the chemical
composition of chitinous invertebrate remains stays largely unchanged even
in fossils more than 10 000 years old (Miller et al., 1993; Verbruggen
et al., 2010a), they are believed to retain their isotopic composition after
deposition (Heiri et al., 2012). Therefore, ephippia may provide material
for reconstructing the past stable isotopic composition of <italic>Daphnia</italic> in lakes and,
consequently, for investigating past conditions in aquatic food webs (e.g.,
Wooller et al., 2012; van Hardenbroek et al., 2013, 2014; Schilder et al.,
2015).</p>
      <p>The use of <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N values of organisms to
infer likely organic carbon and nitrogen sources relies heavily on
assumptions regarding the difference between <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N values of organisms and their diet (<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C, <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N). There is a need for more controlled laboratory studies
investigating <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N (Martínez del Rio
et al., 2009) as well as the relationships between the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values of
organisms and those of environmental water (Rubenstein and Hobson, 2004).
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C, which is generally assumed to be between 0 and <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>1 ‰
for a range of animals, including invertebrates
(DeNiro and Epstein, 1978; McCutchan et al., 2003), has been studied for
chironomids under controlled laboratory conditions (Goedkoop et al., 2006;
Wang et al., 2009; Heiri et al., 2012; Frossard et al., 2013) and ranges
from <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.8 to <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>1.2 ‰. For <italic>Daphnia magna</italic>, <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values
range from <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>1.7 to <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>3.1 ‰ (Power et al., 2003).
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N, which is usually assumed to be between <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>3 and <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>4 ‰
(DeNiro and Epstein, 1981; Minagawa and Wada, 1984)
ranges from <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.5 to <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>3.4 ‰ for chironomids (Goedkoop
et al., 2006; Wang et al., 2009; Heiri et al., 2012) and from <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>1 to
<inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>6 ‰ for <italic>Daphnia</italic> (Adams and Sterner, 2000; Power et al., 2003;
Matthews and Mazumder, 2008). In terms of oxygen, the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O
values of lacustrine invertebrates are strongly and positively related to
the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values of local precipitation and the water in which
the invertebrates live (Wang et al., 2009; Nielson and Bowen, 2010;
Verbruggen et al. 2011; van Hardenbroek et al., 2012; Soto et al., 2013),
although laboratory studies have shown that the oxygen isotopic composition
of the diet can also affect invertebrate <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values (Wang et
al., 2009; Nielson and Bowen, 2010).</p>
      <p>There can be distinct offsets in isotopic composition between whole-body
tissue and chitinous structures of invertebrates. Culturing experiments
comparing cephalopod soft tissue and their chitinous mouthparts have shown
that their chitinous structures can have <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N values 3 to 4 ‰ lower than soft body tissue (Hobson and Cherel, 2006).
Heiri et al. (2012) reported that offsets of up to 2 ‰
between chironomid body tissue and chitinous head capsule <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C
and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N values are possible. For <italic>Daphnia</italic>, field studies suggest that
(non-ephippial) exoskeleton parts can have 0.8 ‰ lower
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C and 7.9 ‰ lower <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N
values than whole <italic>Daphnia</italic> (Perga, 2010), while no clear differences in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N values between <italic>Daphnia</italic> and ephippia have been
reported in the only available study which examined this offset for <italic>Daphnia</italic> and free
ephippia collected in a vertical net trawl in Lake Geneva, Switzerland
(Perga, 2011). For vertebrates, differences in stable C and N isotopic
composition between tissue types have been related to differences in
contents of specific compounds (e.g., relative abundance of lipids,
carbohydrates and protein or of different amino acids; e.g., DeNiro and
Epstein, 1978; Pinnegar and Polunin, 1999). Differences in biochemical
composition also provide a potential explanation for the observed
differences in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N values between the whole-body tissue and chitinous structures of aquatic invertebrates. For oxygen
and hydrogen, studies examining the offsets between the stable isotopic
composition of the whole-body tissue of lacustrine invertebrates and their
chitinous structures are still lacking.</p>
      <p>To date, no controlled experiments investigating the offset between <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C, <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values of whole-body
tissue and ephippia have been published for <italic>Daphnia</italic>. Similarly, no laboratory
experiments have been performed examining the relationship between <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values of environmental water and <italic>Daphnia</italic> or their ephippia. Quantifying
these offsets and relationships is essential for the further development of
palaeoecological approaches based on stable isotope analyses of <italic>Daphnia</italic> remains and
for interpreting results from the fossil record.</p>
      <p>We present results from an experiment developed to examine the relationships
between the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values of diet and the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O
values of environmental water, on the one hand, and the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values of <italic>Daphnia</italic>, on the other. The experiment was specifically designed to examine
whether offsets in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C, <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values exist between <italic>Daphnia</italic> and their ephippia. Furthermore, we
investigated whether the stable isotopic compositions of <italic>Daphnia</italic> and their ephippia
are influenced by temperature by performing the experiment at two different
temperatures.</p>
</sec>
<sec id="Ch1.S2">
  <title>Methods</title>
<sec id="Ch1.S2.SS1">
  <?xmltex \opttitle{\textit{Daphnia} cultivation}?><title><italic>Daphnia</italic> cultivation</title>
      <p>Three ex-ephippial <italic>Daphnia pulicaria</italic> clones (LC PUL 53, 99 and 101; Möst, 2013) from
Lower Lake Constance (Switzerland) that showed extensive ephippia production
in culture in pre-tests were selected for the experiment. For each clone, 20
neonate <italic>Daphnia</italic> (&lt; 48 h old) were grown in 2.5 L batch cultures prior to the
experiment. From these batch cultures, seven to eight second to third clutch neonates
(&lt; 48 h old) were transferred to 180 mL jars, containing 160 mL of
filtered lake water (natural abundance or labeled water, according to
treatment conditions described below). The lake water was filtered with 0.45 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m glass fiber filters (Sartorius Stedim AG, Switzerland). Initially,
<italic>Daphnia</italic> were fed three times per week with fresh algae, concentrated to an
equivalent of 1 mg C L<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. After day 21 of the experiment, the amount of
food was doubled because the number of <italic>Daphnia</italic> in most jars exceeded 30
individuals. Experimental water was exchanged once per week and ephippia (if
present) were retained in the cultures. Due to potentially higher
productivity and evaporation, the water was exchanged twice per week in
Treatment 4 (20 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C).</p>
</sec>
<sec id="Ch1.S2.SS2">
  <title>Food and water sources in the experiment</title>
      <p>Three weeks before the experiment, two 1 L chemostats were started
simultaneously to produce the algae (<italic>Acutodesmus obliquus</italic>, Turpin) to be used as food for
<italic>Daphnia</italic> in the experiment. The algae were cultivated in a “WC”-medium (Guillard,
1975). For one of the chemostats, 45 % of the sodium bicarbonate in the
medium (5.67 of 12.6 mg L<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> was replaced by sodium
bicarbonate containing 99.9 % <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>12</mml:mn></mml:msup></mml:math></inline-formula>C (Sigma Aldrich, USA), lowering the
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values of the algae from this chemostat by, on average, 1.8 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.2 ‰ (one standard deviation (1 SD)) (see
results). Once per week, the chemostat-grown algae were harvested,
centrifuged (5000 rpm) to remove residual medium, stored at 9 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C
in the dark and used to feed the <italic>Daphnia</italic> during the following week. Seven days
before the start of the experiment, 250 L of lake water were collected from Greifensee (Switzerland) (pH 8.0, TP 0.04 mg L<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, TN 1.6 mg L<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>; data provided by the Cantonal Bureau for Waste, Water, Energy and
Air (AWEL, Zürich; <uri>www.awel.zh.ch</uri>)). This water was stored in the dark
at 12 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C for the duration of the experiment. Of this water, 50 L
were stored in a separate container, and 0.9 mL of water containing 97 %
<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>18</mml:mn></mml:msup></mml:math></inline-formula>O (Sigma Aldrich, USA) were added to increase the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O
value of the water by 5.6 ‰ relative to the unlabeled
water (see results). Before exchanging the water in Treatment 4, the water
was allowed to equilibrate with the ambient laboratory air temperature (20 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C).</p>
</sec>
<sec id="Ch1.S2.SS3">
  <title>Experimental design</title>
      <p>The experiment consisted of four cultivation treatments: a control treatment
in which <italic>Daphnia</italic> were cultivated in untreated, filtered lake water at 12 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C
on a diet of fresh chemostat-grown algae (Treatment 1), and
treatments with conditions identical to Treatment 1, with the exception of
the algae in Treatment 2, which had 1.8 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.2 (1 SD) ‰
lower <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values. The culturing water in
Treatment 3 had <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values that were 5.6 ‰
higher than in the other treatments and Treatment 4 had a temperature (20 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) that was higher than the other treatments.</p>
      <p>Each treatment consisted of 30 glass jars, which were sterilized using an
autoclave. Prior to the experiment, each glass jar was assigned to one of
three replicate groups (A, B, C). The neonate <italic>Daphnia</italic> were evenly distributed in the
jars to ensure that every experimental replicate group contained 10 jars,
with 3 to 4 jars per clone. All the jars for a given treatment were held in
one large tray, and the jars within each treatment were evenly distributed
within the trays. The trays were held in the dark in temperature-controlled
incubators.</p>
      <p>The experiment was designed to assess the following: (a) the effect of a
change in algal <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values on those of <italic>Daphnia</italic> and their ephippia
(Treatment 2); (b) the effect of a change in environmental water <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values on those of <italic>Daphnia</italic> and their ephippia (Treatment 3); (c) the
effect of a difference in temperature (i.e., 12 and 20 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) on
the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C, <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values of <italic>Daphnia</italic> and their ephippia (Treatment 4); and (d) the offset
between <italic>Daphnia</italic> and ephippia in terms of their <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C, <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N
and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values (Treatments 1–4). Statistical analyses were
performed with the PAST software package, version 1.97 (Hammer et al.,
2001), except for tests used to compare the algae from both chemostats. To
account for repeated measures, linear mixed effects models (LMEs) were
applied, fitting a random intercept for each probing date with the lme
function in the nlme package in the R statistical package (R Core team,
2013). Significance was analyzed using an <inline-formula><mml:math display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula> test. A Bonferroni correction
was applied to the multiple (six) comparisons of the stable isotopic
composition of <italic>Daphnia</italic> between the treatments (Tukey post hoc tests).</p>
</sec>
<sec id="Ch1.S2.SS4">
  <title>Sample collection</title>
      <p>After the weekly harvest, a small portion of algae from each chemostat was
rinsed with deionized water and centrifuged five times to remove the
culturing medium. The concentrated algae were freeze-dried and a small
aliquot (150 to 200 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g) was loaded into tin cups (6 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 4 mm, Lüdi
Swiss, Switzerland) to measure the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C, <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N and
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values of the algae (<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">algae</mml:mi></mml:msub></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">algae</mml:mi></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">algae</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. In each
treatment, one jar was assigned to monitoring variation in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O
values of the water (<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">water</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. Once per week, before
discarding the water, 12 mL were transferred to a 12 mL glass vial with no
head space (Labco, UK) and stored in the dark at 7 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. Every
second sample was analyzed for <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">water</mml:mi></mml:msub></mml:math></inline-formula> values. Every
third week a sample of the water in the storage barrels was collected,
stored and measured for <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">water</mml:mi></mml:msub></mml:math></inline-formula> values.</p>
      <p>The experiment was terminated after 62 days. He and Wang (2006) have
demonstrated that the <italic>Daphnia</italic> carbon turnover rate is 11 to 36 % per day, which
suggests that after 62 days our <italic>Daphnia</italic> likely had achieved isotopic equilibrium
with the experimental diet and water. <italic>Daphnia</italic> and ephippia were harvested and
pooled according to treatment (1–4) and replicate group (A, B, C). Adult
<italic>Daphnia</italic> were hand-picked from a Bogorov sorting tray (Gannon, 1971) with fine
forceps under a binocular and freeze-dried, after which they were loaded
into tin cups (6 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 4 mm, Lüdi Swiss, Switzerland; <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 10 to
12 individuals per measurement) for analysis of <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula> values. For each treatment replicate group, three
samples were prepared and measured, resulting in 36 measurements for each
chemical element. Ephippia were collected and treated in 10 % KOH for 2 h to remove any algal matter and egg yolk. Replicate measurements
(three each for C, N and O) of ephippia not treated with KOH were prepared to
assess any influence of this treatment on the isotopic compositions of
ephippia. The ephippia were loaded into pre-weighed tin cups (6 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 4 mm,
Lüdi Swiss, Switzerland): <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 10 to 15 for <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ephippia</mml:mi></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ephippia</mml:mi></mml:msub></mml:math></inline-formula> analysis and 15
to 20 for <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ephippia</mml:mi></mml:msub></mml:math></inline-formula> analysis. Three samples were
prepared and measured for each treatment replicate group, except for
Treatment 4, which yielded only sufficient numbers of ephippia to measure
once per treatment replicate group.</p><?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S2.SS5">
  <?xmltex \opttitle{Assessing the source of oxygen in  \textit{Daphnia}}?><title>Assessing the source of oxygen in  <italic>Daphnia</italic></title>
      <p>Following Wang et al. (2009), our experimental setup was used to approximate
the proportional contribution of oxygen in the <italic>Daphnia</italic> stemming from the
environmental water relative to that from the diet, using the following
equation:

                <disp-formula id="Ch1.Ex1"><mml:math display="block"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mfenced close=")" open="("><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mrow><mml:mi>D</mml:mi><mml:mi>a</mml:mi><mml:mi>p</mml:mi><mml:mi>h</mml:mi><mml:mi>n</mml:mi><mml:mi>i</mml:mi><mml:mi>a</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">A</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mrow><mml:mi>D</mml:mi><mml:mi>a</mml:mi><mml:mi>p</mml:mi><mml:mi>h</mml:mi><mml:mi>n</mml:mi><mml:mi>i</mml:mi><mml:mi>a</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">B</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:mfenced></mml:mrow><mml:mrow><mml:mfenced open="(" close=")"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mrow><mml:mi mathvariant="normal">water</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">A</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mrow><mml:mi mathvariant="normal">water</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">B</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:mfenced></mml:mrow></mml:mfrac><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> is the proportion of oxygen in <italic>Daphnia</italic> stemming from the water, <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mtext mathvariant="italic">Daphnia</mml:mtext><mml:mo>(</mml:mo><mml:mi mathvariant="normal">A</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">water</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">A</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:math></inline-formula>
would be  the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values of <italic>Daphnia</italic> and the water if <italic>Daphnia</italic> were cultivated in
non-manipulated, filtered lake water, and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mtext mathvariant="italic">Daphnia</mml:mtext><mml:mo>(</mml:mo><mml:mi mathvariant="normal">B</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">water</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">B</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:math></inline-formula> would be the
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values of <italic>Daphnia</italic> and the water if <italic>Daphnia</italic> were cultivated in the
<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>18</mml:mn></mml:msup></mml:math></inline-formula>O-enriched, filtered lake water.</p>
</sec>
<sec id="Ch1.S2.SS6">
  <title>Stable isotope mass spectrometry</title>
      <p>The <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N values of the algae, <italic>Daphnia</italic> and
ephippia were measured on a Costech ESC 4010 elemental analyzer interfaced
via a ThermoConflo III with a Thermo Delta V isotope ratio mass spectrometer
(IRMS) at the Alaska Stable Isotope Facility (ASIF) at the University of
Alaska, Fairbanks. The analytical precisions for <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C and
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N values are expressed as 1 SD from the mean based on the
results from multiple (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 13) analyses of a laboratory standard
(peptone) and were <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.2 ‰ and <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1 ‰,
respectively. The <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values of the
water samples were measured on an online pyrolysis thermochemical reactor
elemental analyzer (TCEA) (Finnigan ThermoQuest) coupled to a continuous
flow (Conflo III) IRMS (Finnigan MAT Delta V) at the ASIF. Analytical
precision is expressed as 1 SD from the mean based on the results from
multiple (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 3) analyses of a laboratory standard (doubly labeled water;
<inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.3 ‰). The <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values of the
algae, <italic>Daphnia</italic> and ephippia were measured using the same techniques and instruments
as used for the water samples. Analytical precision based on replicate (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 12) laboratory standard measurements (benzoic acid, Fisher Scientific,
Lot No 947459) was <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.4 ‰ . Stable isotopic
compositions are expressed in standard delta (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> notation in
‰ relative to V-PDB (Vienna Pee Dee Belemnite)  for <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values, AIR for <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N values and V-SMOW (Vienna Standard Mean Ocean Water) for <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Results</title>
<sec id="Ch1.S3.SS1">
  <title>Food and water</title>
      <p>The <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">algae</mml:mi></mml:msub></mml:math></inline-formula> values from both chemostats showed some
variation with time (Fig. 1). On all sampling dates except the first, the
algae cultured on <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>13</mml:mn></mml:msup></mml:math></inline-formula>C-depleted medium had lower <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">algae</mml:mi></mml:msub></mml:math></inline-formula> values than the standard algae (Fig. 1). As a
consequence, the mean <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">algae</mml:mi></mml:msub></mml:math></inline-formula> value for the culture
grown using <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>13</mml:mn></mml:msup></mml:math></inline-formula>C-depleted medium (<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20.6 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.84 ‰)
was 1.8 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.2 ‰ (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 9)
lower than the mean <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">algae</mml:mi></mml:msub></mml:math></inline-formula> of the standard algae (<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>18.8 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.4 ‰),
and this difference was statistically
significant (LME, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">8</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> 18.04, <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.005). There was no
statistically significant difference between the algae cultures in terms of
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N values (standard algae 2.5 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.3 ‰,
<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>13</mml:mn></mml:msup></mml:math></inline-formula>C-depleted algae 2.2 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.3 ‰; <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">8</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> 4.58, <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &gt; 0.05), <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values (standard algae 13.4 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.0 ‰,
<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>13</mml:mn></mml:msup></mml:math></inline-formula>C-depleted algae 14.6 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.1 ‰; <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">7</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
5.43, <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &gt; 0.05) or atomic C : N ratios (standard
algae 6.4 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.3, <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>13</mml:mn></mml:msup></mml:math></inline-formula>C-depleted algae 6.5 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.3; <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">8</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> 0.18,
<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &gt; 0.05) (Fig. 1).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><caption><p><inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C, <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O
values and atomic C : N ratios of the algae harvested from both chemostats
during the experiment. Open circles with dashed line represent the standard
algae, and the closed circles with solid line represent the algae that were
cultured on a medium with the addition of <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>13</mml:mn></mml:msup></mml:math></inline-formula>C-depleted bicarbonate. The
data points and error bars on the right side of the plots indicate average
values and 1 SD, respectively.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://bg.copernicus.org/articles/12/3819/2015/bg-12-3819-2015-f01.pdf"/>

        </fig>

      <p>The addition of <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>18</mml:mn></mml:msup></mml:math></inline-formula>O-enriched water led to an increase in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">water</mml:mi></mml:msub></mml:math></inline-formula> values in the storage barrels by 5.6 ‰
(<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O value of <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.4 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1 ‰ , <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 3)
relative to the non-labeled water (<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O value of <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9.0 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1 ‰ <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 3) (Fig. 2). The <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">water</mml:mi></mml:msub></mml:math></inline-formula> values from the experimental jars in
Treatment 1, 2 and 4 were not significantly different (one-way ANOVA,
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> 30.1, <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &gt; 0.05) between the three treatments
throughout the experiment, and the mean was <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>8.2 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.5 ‰ (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 11). Water from experimental jars from
Treatment 3 had a mean <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">water</mml:mi></mml:msub></mml:math></inline-formula> value of <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.3 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.6 ‰ (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 4). The mean <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">water</mml:mi></mml:msub></mml:math></inline-formula> values
in the storage barrels and the mean <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">water</mml:mi></mml:msub></mml:math></inline-formula> values in
the experimental jars after 1 week were used to approximate the baseline
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">water</mml:mi></mml:msub></mml:math></inline-formula> values during cultivation for resolving
Eq. (1) by taking the mean of the two values. This resulted in estimates
of <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>8.6 ‰ for the cultures in non-manipulated lake water
at 12 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (Treatment 1 and 2) and <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.4 ‰ for
the cultures in Treatment 3 with <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>18</mml:mn></mml:msup></mml:math></inline-formula>O-enriched water.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p><inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values of the water in the storage barrels
for the standard water (open circles, dashed line) and the artificially
<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>18</mml:mn></mml:msup></mml:math></inline-formula>O-enriched water (closed circles, solid line) sampled on day 0, 13
and 35; and the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values of the water sampled from the
experimental jars before water was exchanged for Treatment 1 (open diamonds,
control), Treatment 2 (open triangles, <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>13</mml:mn></mml:msup></mml:math></inline-formula>C-depleted algae), and
Treatment 3 (closed diamonds,<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>18</mml:mn></mml:msup></mml:math></inline-formula>O-enriched water) sampled on day 13,
27, 41 and 62; and Treatment 4 (open squares, 20 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) sampled on
day 13, 27 and 41. The plus symbols (<inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>) on the right side indicate the
mean of the mean experimental jar values and the mean storage barrel values
for the standard water and the <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>18</mml:mn></mml:msup></mml:math></inline-formula>O-enriched water, respectively.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://bg.copernicus.org/articles/12/3819/2015/bg-12-3819-2015-f02.pdf"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><caption><p><inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C, <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O
values of <italic>Daphnia</italic> body tissue (left, open circles) and ephippia (right, closed
circles) for Treatment 1 (control), 2 (<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>13</mml:mn></mml:msup></mml:math></inline-formula>C-depleted algae), 3
(<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>18</mml:mn></mml:msup></mml:math></inline-formula>O-enriched water) and 4 (elevated temperature). Each data point
represents one of the treatment replicate groups and consists of three
measurements, of which the standard deviation is indicated by the error bars
(only one measurement per replicate treatment group was available for
ephippia in Treatment 4). The black horizontal lines in the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N plots represent the average value of the
algae used in that treatment.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://bg.copernicus.org/articles/12/3819/2015/bg-12-3819-2015-f03.pdf"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <?xmltex \opttitle{\textit{Daphnia} stable isotope ratios}?><title><italic>Daphnia</italic> stable isotope ratios</title>
      <p>Mean stable isotope values for <italic>Daphnia</italic> are based on 9 measurements (three
measurements for each of the three replicates per treatment). The mean
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula> value in Treatment 2 (where <italic>Daphnia</italic> were offered
<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>13</mml:mn></mml:msup></mml:math></inline-formula>C-depleted algae) was lower (<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20.2 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1 ‰) than in Treatment 1 (<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>18.7 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1 ‰) and 3
(<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>17.9 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1 ‰ ) (Fig. 3). For treatments at 12 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (1–3), the mean <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula> value was 0.5 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.3 ‰
higher than the mean <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">algae</mml:mi></mml:msub></mml:math></inline-formula> value that <italic>Daphnia</italic> were cultured on. The mean <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula> value in Treatment 4 (20 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C; <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>19.0 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1 ‰) was 0.2 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1 ‰ lower
than the mean <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">algae</mml:mi></mml:msub></mml:math></inline-formula> value. The results from all
treatments in terms of <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula> values were
significantly different from each other (one-way ANOVA and Tukey post hoc
test; Table 1)</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p>Results of the tests for statistical differences between the four
(1–4) treatments (one-way ANOVA) and between pairs of treatments (Tukey
test) for <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula> and
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula> values. The results of the Tukey test are
presented below the <inline-formula><mml:math display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> values for the one-way ANOVA, showing <inline-formula><mml:math display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula> values
(lower left part of matrix) and <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> values after Bonferroni correction (upper
right).</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.95}[.95]?><oasis:tgroup cols="18">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:colspec colnum="11" colname="col11" align="right"/>
     <oasis:colspec colnum="12" colname="col12" align="left"/>
     <oasis:colspec colnum="13" colname="col13" align="right"/>
     <oasis:colspec colnum="14" colname="col14" align="right"/>
     <oasis:colspec colnum="15" colname="col15" align="right"/>
     <oasis:colspec colnum="16" colname="col16" align="right"/>
     <oasis:colspec colnum="17" colname="col17" align="right"/>
     <oasis:colspec colnum="18" colname="col18" align="left"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry rowsep="1" namest="col2" nameend="col5" align="center"><italic>Daphnia</italic><inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values </oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry rowsep="1" colname="col7"/>  
         <oasis:entry rowsep="1" namest="col8" nameend="col11" align="center"><italic>Daphnia</italic><inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N values </oasis:entry>  
         <oasis:entry colname="col12"/>  
         <oasis:entry rowsep="1" colname="col13"/>  
         <oasis:entry rowsep="1" namest="col14" nameend="col17" align="center"><italic>Daphnia</italic><inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values </oasis:entry>  
         <oasis:entry colname="col18"/>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry namest="col2" nameend="col5" align="center"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mn>2.3</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> 303.8 <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 1 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>  
         <oasis:entry namest="col8" nameend="col11" align="center"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mn>2.3</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> 52.1 <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 1 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col12"/>  
         <oasis:entry colname="col13"/>  
         <oasis:entry namest="col14" nameend="col17" align="center"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mn>2.3</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> 255.3 <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 1 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col18"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">1</oasis:entry>  
         <oasis:entry colname="col3">2</oasis:entry>  
         <oasis:entry colname="col4">3</oasis:entry>  
         <oasis:entry colname="col5">4</oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">1</oasis:entry>  
         <oasis:entry colname="col9">2</oasis:entry>  
         <oasis:entry colname="col10">3</oasis:entry>  
         <oasis:entry colname="col11">4</oasis:entry>  
         <oasis:entry colname="col12"/>  
         <oasis:entry colname="col13"/>  
         <oasis:entry colname="col14">1</oasis:entry>  
         <oasis:entry colname="col15">2</oasis:entry>  
         <oasis:entry colname="col16">3</oasis:entry>  
         <oasis:entry colname="col17">4</oasis:entry>  
         <oasis:entry colname="col18"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">1</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">&lt; 0.002</oasis:entry>  
         <oasis:entry colname="col4">&lt; 0.002</oasis:entry>  
         <oasis:entry colname="col5">&lt; 0.05</oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">1</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9">&gt; 0.9</oasis:entry>  
         <oasis:entry colname="col10">&lt; 0.005</oasis:entry>  
         <oasis:entry colname="col11">&lt; 0.002</oasis:entry>  
         <oasis:entry colname="col12"/>  
         <oasis:entry colname="col13">1</oasis:entry>  
         <oasis:entry colname="col14"/>  
         <oasis:entry colname="col15">&gt; 0.1</oasis:entry>  
         <oasis:entry colname="col16">&lt; 0.002</oasis:entry>  
         <oasis:entry colname="col17">&lt; 0.005</oasis:entry>  
         <oasis:entry colname="col18"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2</oasis:entry>  
         <oasis:entry colname="col2">28.16</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4">&lt; 0.002</oasis:entry>  
         <oasis:entry colname="col5">&lt; 0.002</oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">2</oasis:entry>  
         <oasis:entry colname="col8">1.686</oasis:entry>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10">&lt; 0.01</oasis:entry>  
         <oasis:entry colname="col11">&lt; 0.002</oasis:entry>  
         <oasis:entry colname="col12"/>  
         <oasis:entry colname="col13">2</oasis:entry>  
         <oasis:entry colname="col14">5.646</oasis:entry>  
         <oasis:entry colname="col15"/>  
         <oasis:entry colname="col16">&lt; 0.002</oasis:entry>  
         <oasis:entry colname="col17">&gt; 0.05</oasis:entry>  
         <oasis:entry colname="col18"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">3</oasis:entry>  
         <oasis:entry colname="col2">13.62</oasis:entry>  
         <oasis:entry colname="col3">41.78</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">&lt; 0.002</oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">3</oasis:entry>  
         <oasis:entry colname="col8">10.16</oasis:entry>  
         <oasis:entry colname="col9">8.476</oasis:entry>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11">&gt; 0.1</oasis:entry>  
         <oasis:entry colname="col12"/>  
         <oasis:entry colname="col13">3</oasis:entry>  
         <oasis:entry colname="col14">24.6</oasis:entry>  
         <oasis:entry colname="col15">30.25</oasis:entry>  
         <oasis:entry colname="col16"/>  
         <oasis:entry colname="col17">&lt; 0.002</oasis:entry>  
         <oasis:entry colname="col18"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">4</oasis:entry>  
         <oasis:entry colname="col2">6.968</oasis:entry>  
         <oasis:entry colname="col3">21.19</oasis:entry>  
         <oasis:entry colname="col4">20.58</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">4</oasis:entry>  
         <oasis:entry colname="col8">15.32</oasis:entry>  
         <oasis:entry colname="col9">13.63</oasis:entry>  
         <oasis:entry colname="col10">5.154</oasis:entry>  
         <oasis:entry colname="col11"/>  
         <oasis:entry colname="col12"/>  
         <oasis:entry colname="col13">4</oasis:entry>  
         <oasis:entry colname="col14">11.88</oasis:entry>  
         <oasis:entry colname="col15">6.234</oasis:entry>  
         <oasis:entry colname="col16">36.48</oasis:entry>  
         <oasis:entry colname="col17"/>  
         <oasis:entry colname="col18"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

      <p>Mean <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula> values at 12 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C were 5.5 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1 ‰ (Treatment 1),
5.7 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1 ‰ (Treatment 2) and 6.2 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1 ‰ (Treatment 3),
and they were 3.4 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.3 ‰ higher than the mean <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">algae</mml:mi></mml:msub></mml:math></inline-formula> value
(Fig. 3). At 20 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (Treatment 4), the mean <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula> value (6.5 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.2 ‰) was 4.0 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.2 ‰ higher than the mean <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">algae</mml:mi></mml:msub></mml:math></inline-formula> value. All treatments, except for Treatments 1 and 2 and Treatments 3 and 4,
were significantly different from each other with regard to <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula> values (one-way ANOVA and Tukey post hoc test; Table 1).</p>
      <p>Treatments 1 and 2 were both performed at 12 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C and with similar
water in terms of <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values. The mean <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula> values in these treatments were 11.7 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1 ‰ and 11.0 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.2 ‰ (Fig. 3). In Treatment 3, where the mean <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">water</mml:mi></mml:msub></mml:math></inline-formula> value was 5.2 ‰ higher than in the
other treatments, the mean <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula> value
was 14.6 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.3 ‰ , which was 2.9 and 3.6 ‰ higher than in Treatment 1 and 2, respectively. In
Treatment 4, with <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">water</mml:mi></mml:msub></mml:math></inline-formula> as in Treatment 1 and 2 but
run at a higher temperature (20 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C), the mean <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula> value (10.2 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.2 ‰) was
1.5 and 0.8 ‰ lower than in Treatment 1 and 2,
respectively. A significant difference in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula>
values was found between all treatments, except for Treatments 1 and 2 and Treatments 2 and 4 (one-way ANOVA and Tukey post hoc
test; Table 1).</p>
</sec>
<sec id="Ch1.S3.SS3">
  <title>Ephippia stable isotope ratios</title>
      <p>In all treatments ephippia production started between day 27 and day 34 of
the experiment. Until day 48 of the experiment, ephippia production was low
(on average 1 to 1.5 ephippia per jar per week), after which production
increased to 4.5 to 6 ephippia per jar per week in Treatments 1, 2 and 3,
whereas production in Treatment 4 remained low. Across the replicate
treatments (A–C), the production of ephippia was similar with, on average, 12
to 13 ephippia per jar at the end of the experiment. The majority of the
ephippia were produced by clone LC PUL 99 (55 %), whereas LC PUL 101 and
53 were responsible for 23 and 22 % of the ephippia production,
respectively.</p>
      <p>The measurements that we performed on untreated ephippia did not reveal a
detectable effect of the KOH treatment on the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ephippia</mml:mi></mml:msub></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ephippia</mml:mi></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ephippia</mml:mi></mml:msub></mml:math></inline-formula> values (<inline-formula><mml:math display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> tests: <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.41,
<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &gt; 0.05; <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 2.20, <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &gt; 0.05; <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.03, <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &gt; 0.05). The mean <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ephippia</mml:mi></mml:msub></mml:math></inline-formula> value was, on average, 0.2 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.8 ‰
lower than the mean <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula>
value, but this difference was not statistically significant (paired
<inline-formula><mml:math display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> test: <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.83, <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &gt;0.05; Fig. 4). However, this value was strongly
affected by the results from Treatment 4 (20 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C), which yielded
unexpected values that will be discussed below. In the three treatments at
12 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ephippia</mml:mi></mml:msub></mml:math></inline-formula> values were, on average, 0.2 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.4 ‰ higher than <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula>,
although this difference was again not significant (paired <inline-formula><mml:math display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> test: <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 1.50,
<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &gt; 0.05). Over all four treatments, <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ephippia</mml:mi></mml:msub></mml:math></inline-formula> values were, on average, 1.6 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.4 ‰
lower than <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula> values
(paired <inline-formula><mml:math display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> test: <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 14.01, <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 5 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ephippia</mml:mi></mml:msub></mml:math></inline-formula> values were, on average, 0.9 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.4 ‰
lower than <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula> values
(paired <inline-formula><mml:math display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> test: <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 5.58, <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 5 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><caption><p>The difference in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C, <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N and
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values between ephippia and <italic>Daphnia</italic> for all four treatments
(closed circles). The open circle gives the offset for the three treatments
at 12 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C excluding Treatment 4 (20 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C), which yielded
unexpected results for <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C (see text). Error bars indicate
standard deviations.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://bg.copernicus.org/articles/12/3819/2015/bg-12-3819-2015-f04.pdf"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <title>Discussion</title>
      <p>Statistically significant differences were found between nearly all
treatments for all investigated <italic>Daphnia</italic> stable isotope ratios, even in cases where
we expected no differences based on the manipulations. For example,
Treatment 1 and 3 were identical in terms of <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values of the
food source and temperature and only differed in the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O
values of the water, and Treatment 1, 2 and 3 were identical in terms of
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N values of the food source and temperature. However, the
unexpected differences between these treatments were generally small and of
the same order of magnitude as the analytical precisions associated with
each element (Fig. 3). They may represent the inherent variability
associated with stable isotope ratios in organisms (Schimmelmann, 2011).
Alternatively, since the stable isotope ratios of the algae showed some
variability over the course of the experiment (Fig. 1), a slight
difference in timing in the buildup of biomass may have led to small
differences in <italic>Daphnia</italic> stable isotope ratios. In previous experiments, <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula> values have been found to differ as much as 1 ‰
between identical treatments (Power et al., 2003). The differences in
<italic>Daphnia</italic> stable isotope ratios were much larger when comparing treatments with
manipulated <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">algae</mml:mi></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">water</mml:mi></mml:msub></mml:math></inline-formula>
values to those with non-manipulated algae and water.</p>
<sec id="Ch1.S4.SS1">
  <?xmltex \opttitle{The food experiment: changing
$\delta^{{{13}}}$C${}_{\mathrm{{algae}}}$}?><title>The food experiment: changing
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">algae</mml:mi></mml:msub></mml:math></inline-formula></title>
      <p>Offering <italic>Daphnia</italic> algae with, on average, 1.8 ‰ lower <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">algae</mml:mi></mml:msub></mml:math></inline-formula> values resulted in 1.5 to 2.1 ‰
lower <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula> values. Since the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">algae</mml:mi></mml:msub></mml:math></inline-formula> values were variable over time, we cannot reconstruct
the exact <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C value of the carbon that <italic>Daphnia</italic> in our different
treatments assimilated, and therefore we cannot calculate a precise estimate of
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C. Based on the mean <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">algae</mml:mi></mml:msub></mml:math></inline-formula> value over
the duration of the experiment, however, <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C between <italic>Daphnia</italic> and
algae is estimated to be <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>0.5 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.3 ‰ at 12 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C.
This is in agreement with commonly found <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C
values of 0 to <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>1 ‰ for a range of animals, including
invertebrates (DeNiro and Epstein, 1978; McCutchan et al., 2003). <italic>D. magna</italic> has been
reported to have a <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C value of <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>1.7 ‰
at 12 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C on a diet of aquarium food (Power et al., 2003).
However, in this study a lipid correction was applied to infer <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values based on C : N ratios following a model by McConnaughey and
McRoy (1979). This leads to relatively higher <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values, and
the procedure has been criticized, since it potentially provides biased
estimates when comparing isotopic ratios of different organisms and tissues
(Mintenbeck et al., 2008). Power et al. (2003) did not report the C : N of the
food and <italic>Daphnia</italic>, so we cannot back-calculate the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values they
measured prior to lipid correction.</p>
      <p><inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ephippia</mml:mi></mml:msub></mml:math></inline-formula> values also reflected the difference in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">algae</mml:mi></mml:msub></mml:math></inline-formula> values between the treatments. At 12 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, they
were not significantly different from the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula>
values (although they were consistently lower at 20 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C; see
below). This is in line with the findings by Perga (2011), who found that
the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C value of ephippia collected in the field was slightly,
but not significantly, higher than the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C value of <italic>Daphnia</italic>
collected in the same net trawls. This suggests that <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ephippia</mml:mi></mml:msub></mml:math></inline-formula> values are a reliable indicator of changes in
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula> values, and consequently of variations in
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values of <italic>Daphnia</italic> diet: at 12 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ephippia</mml:mi></mml:msub></mml:math></inline-formula> was 0.7 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.2 ‰ higher than
the mean <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">algae</mml:mi></mml:msub></mml:math></inline-formula>. The absence of a clear offset in
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values between whole <italic>Daphnia</italic> and <italic>Daphnia</italic> ephippia at 12 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C is
in contrast to the difference found between whole <italic>Daphnia</italic> and <italic>Daphnia</italic> exoskeletons (0.8 ‰; Perga, 2010) and between chironomid body tissue and
chironomid head capsules (<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1 ‰; Heiri et
al., 2012; Frossard et al., 2013).</p><?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S4.SS2">
  <?xmltex \opttitle{$\delta^{{{15}}}$ N values of  \textit{Daphnia} and ephippia}?><title><inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> N values of  <italic>Daphnia</italic> and ephippia</title>
      <p>At 12 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, the observed <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N was <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>3.4 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.3 ‰,
which agrees well with <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N values
referred to in the literature (<inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>3 to <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>4 ‰; DeNiro
and Epstein, 1981; Minagawa and Wada, 1984). A range of <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N
values for <italic>Daphnia</italic> have been reported. <italic>D. pulicaria</italic> reared on a diet of frozen algae pellets
had a <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>1.4 ‰ (Matthews and
Mazumder, 2008). This is lower than the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N we found.
According to Matthews and Mazumder (2008), the low <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N they
observed may be explained by the observation that a diet consisting of
detritus (dead algae) is associated with considerably (<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 2.5 ‰)
lower <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N values than one consisting
of living plant matter (Vanderklift and Ponsard, 2003). Our observed <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N for <italic>D. pulicaria</italic> is within the range of  reported <italic>D. magna</italic> <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N values
(<inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>1 to <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>6 ‰; Adams and Sterner, 2000; Power et al.,
2003).</p>
      <p><inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ephippia</mml:mi></mml:msub></mml:math></inline-formula> values were lower (1.6 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.4 ‰)
than <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula> values. In
contrast, Perga (2011) found <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ephippia</mml:mi></mml:msub></mml:math></inline-formula> values to be
slightly, but not significantly, lower than <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula>
values  in the field. Together with the results of Perga (2011), our data provide
an indication that <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ephippia</mml:mi></mml:msub></mml:math></inline-formula> values are indicative of
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N values of <italic>Daphnia</italic> and their diet, with only relatively minor
offsets between food, <italic>Daphnia</italic> and ephippia. For chironomids, differences of similar
magnitude between whole-body <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N values and head capsule
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N values (<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1 to <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>1 ‰) were observed
over a large range of <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N values (2.5 to 15 ‰;
Heiri et al., 2012). Therefore, it seems likely that
differences between <italic>Daphnia</italic> and ephippia <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N values may also be
similar across this <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N range.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <?xmltex \opttitle{The water experiment: changing $\delta^{{{18}}}$O${}_{{\mathrm{water}}}$ values}?><title>The water experiment: changing <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">water</mml:mi></mml:msub></mml:math></inline-formula> values</title>
      <p><inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">water</mml:mi></mml:msub></mml:math></inline-formula> values were 5.2 ‰ higher in
Treatment 3 than in Treatment 1 and 2, and the mean <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula> values in Treatment 3 were 2.9 ‰
higher than in Treatment 1 and 3.6 ‰ higher than in
Treatment 2. This implies that, as expected, differences in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula> values reflect differences in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">water</mml:mi></mml:msub></mml:math></inline-formula>, yet that, as in other invertebrates, only part of the
oxygen incorporated by the <italic>Daphnia</italic> originated from the water. Wang et al. (2009)
reported that 69 % of the oxygen in chironomid larvae stemmed from the
water in their environment. Soto et al. (2013) estimated that 84 % of the
oxygen in protein isolated from chironomids came from the water in their
environment, and Nielson and Bowen (2010) reported that 69 % of the
oxygen in chitin from brine shrimp came from water in their environment.
Based on Eq. (1), we estimate that in our experiment 56 to 69 % of
the oxygen in <italic>Daphnia</italic> came from the water, based on Treatment 1 and 2,
respectively. These estimates are similar to the values reported by Wang et al. (2009) and Nielson and Bowen (2010).</p>
      <p><inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ephippia</mml:mi></mml:msub></mml:math></inline-formula> values closely reflected differences in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula>: they were, on average, 0.9 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.4 ‰ lower than <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula> values. This
suggests that <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ephippia</mml:mi></mml:msub></mml:math></inline-formula> may be used as an indicator of
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula>, which in turn can be expected to be related
to lake water <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values. This is in agreement with the
correlation between surface sediment <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ephippia</mml:mi></mml:msub></mml:math></inline-formula> values
and lake water <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values found in a field survey of a number
of European lakes (Verbruggen et al., 2011).</p>
</sec>
<sec id="Ch1.S4.SS4">
  <title>The temperature experiment</title>
      <p>Power et al. (2003) reported an increase of 0.1 ‰ in
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values for <italic>D. magna</italic> with a temperature increase from 12 to 20 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (and <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>1.4 ‰ when
temperature increased from 12 to 26 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C). Therefore,
we expected <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values for <italic>Daphnia</italic> in Treatment 4 (20 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C)
to be similar to or slightly higher than in the other treatments (12 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C).
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values were clearly lower, however, in
Treatment 4 (<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.2 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1 ‰) than in the other
treatments (<inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>0.5 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.3 ‰). While we cannot
exclude a negative relation between temperature and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values
for <italic>Daphnia</italic>, we choose to treat this result with caution due to the discrepancy
with the positive <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values as reported in other studies
(DeNiro and Epstein, 1978; McCutchan et al., 2003; Power et al., 2003). A
higher lipid content of <italic>Daphnia</italic> may potentially lead to lower <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula> values (McCutchan et al., 2003). However, the C : N
ratios of <italic>Daphnia</italic> in Treatment 4 were slightly lower (but not significantly
different; <inline-formula><mml:math display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> test: <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 1.18 <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &gt; 0.05) than those of <italic>Daphnia</italic> in Treatment 1,
which does not agree with a higher lipid content in <italic>Daphnia</italic> from Treatment 4
(Smyntek et al., 2007). Alternatively, <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>13</mml:mn></mml:msup></mml:math></inline-formula>C depletion of algal biomass
during dark respiration may have affected the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">algae</mml:mi></mml:msub></mml:math></inline-formula> in
Treatment 4 disproportionately due to the higher temperature.
Degens et al. (1968) found that <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values of the alga <italic>Dunaliella tertiolecta</italic> were 4 ‰ lower after 3 days in darkness. The rate of
respiration by algae depends on temperature and can be 2 to 4 times higher
at 20 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C than at 12 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (e.g., Vona et al., 2004).
Microbial activity in the experimental jars could have been affected by
temperature and could have also influenced our results. Additionally, if
<italic>Daphnia</italic> in Treatment 4 had a different timing of growth compared to Treatment 1, as
might be expected, they may have been assimilating carbon from algae with
different <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">algae</mml:mi></mml:msub></mml:math></inline-formula> values during the main phase of their
growth compared to the other treatments, since <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">algae</mml:mi></mml:msub></mml:math></inline-formula>
values were relatively low in the beginning and at the end of the experiment
(Fig. 1). <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ephippia</mml:mi></mml:msub></mml:math></inline-formula> values were also lower in
Treatment 4, and 1.3 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.3 ‰ lower than <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula> values. For the same reasons as outlined above,
it remains unclear whether this observation is the consequence of a
fundamental change in the offset between <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula> and
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ephippia</mml:mi></mml:msub></mml:math></inline-formula> with temperature or whether it is affected by
variations in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">algae</mml:mi></mml:msub></mml:math></inline-formula> and algal respiration rates or
differences in <italic>Daphnia</italic> growth rates between our treatments. Controlled experiments
over a range of temperature values analyzing not only <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ephippia</mml:mi></mml:msub></mml:math></inline-formula> values, but also
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values  of respired CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and microbial biomass
would be desirable to further explore this issue. Although the results of
Treatment 4 indicate that the difference between <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ephippia</mml:mi></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula> values may be more
variable than suggested by the cultivations at 12 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, the offset
is still relatively small compared to the variation in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ephippia</mml:mi></mml:msub></mml:math></inline-formula> values in lake sediment records (up to 10 ‰; e.g., Wooller et al., 2012).</p>
      <p><inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N between <italic>Daphnia</italic> and algae was <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>4.0 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.2 ‰
at 20 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, 0.6 ‰ higher
than at 12 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. A small increase (0.4 ‰) in
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N in this temperature range has also been reported for <italic>D. magna</italic>
(Power et al., 2003). Power et al. (2003) found a decrease of 2.7 ‰
in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N values for <italic>D. magna</italic> between 20 and 26 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, however, and Barnes et al. (2007) found
a decrease of 0.6 ‰ in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N values for sea
bass with a temperature increase from 11 to 16 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C.
Previously observed <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N values in field studies of aquatic
food webs (Vander Zanden and Rasmussen, 2001), and specifically in
experimental studies of <italic>Daphnia</italic> (Adams and Sterner, 2000; Matthews and Mazumder,
2008), are, in some cases, lower than <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>3 to <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>4 ‰. A
potential effect of temperature on <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N values for <italic>Daphnia</italic> which,
based on presently available observations, may amount to 2.7 ‰
at temperatures above 20 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (Power et al.,
2003) therefore deserves future attention. The offset between <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ephippia</mml:mi></mml:msub></mml:math></inline-formula> in our experiment
was, however, not significantly different (<inline-formula><mml:math display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> test: <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.26 <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &gt; 0.05)
between Treatment 1 (control, 12 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) and 4 (20 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C).</p>
      <p>The effect of temperature on oxygen isotope fractionation during the
formation of chitin by aquatic organisms has not been examined previously in
experimental studies. Schimmelmann and DeNiro (1986) analyzed the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values of the chitin of marine crustaceans collected along a
temperature gradient of 10 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C and van Hardenbroek et al. (2012)
studied the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values of aquatic beetles in museum specimens
selected to represent a temperature gradient across North America. Both
studies concluded that the temperature effect on oxygen isotope
fractionation during chitin formation (if any) was smaller than the
variability due to minor differences in local environmental conditions. In
this study we kept close control over the environmental conditions and source
water <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values, and we found that <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula> was slightly (0.8 to 1.5 ‰) lower
with an increase of temperature by 8 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C but otherwise similar
conditions. This may indicate an effect of temperature on oxygen isotope
fractionation by <italic>Daphnia</italic>. We do note, however, that the potential temperature
effect on oxygen isotope fractionation by <italic>Daphnia</italic> observed in our experiment was
relatively small and resulted from a large difference in temperature.
Therefore, <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula>values most likely primarily reflect
environmental water <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values. The offset between <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ephippia</mml:mi></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula> in Treatment 4 (20 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C)
was not significantly different, however (<inline-formula><mml:math display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> test: <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.09,
<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &gt; 0.05), from that in Treatment 1 (control, 12 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C).
This suggests that, in contrast to the difference between <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">water</mml:mi></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula>, this offset is not
affected by temperature in the investigated temperature range (12
to 20 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C). Verbruggen et al. (2011) measured the
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values of recently deposited ephippia from surface
sediments in lakes along a geographical gradient in Europe. They found a
strong correlation between <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ephippia</mml:mi></mml:msub></mml:math></inline-formula> values and lake
water <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values. In their data set, the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O
values of lake water increased by <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 4.8 ‰
with a temperature increase of 8 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, whereas <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ephippia</mml:mi></mml:msub></mml:math></inline-formula> values increased by only <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 3 ‰ over this temperature gradient, a difference of
<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1.8 ‰. This difference is of a similar
order of magnitude as the 0.8 to 1.5 ‰ lower <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula> values we found with an 8 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C temperature
rise. The data of Verbruggen et al. (2011) and our experimental data would
therefore be in agreement with a slight temperature effect on the
fractionation of <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>18</mml:mn></mml:msup></mml:math></inline-formula>O between lake water and <italic>Daphnia</italic> biomass. However, other
mechanisms, such as a change in timing of <italic>Daphnia</italic> ephippia production with
temperature and variations in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values of food across the
examined temperature gradient could also explain varying offsets between
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">water</mml:mi></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula> at different
temperatures in the study of Verbruggen et al. (2011). Moreover, differences in air temperature at lakes, which Verbruggen
et al. (2011) reported, do not necessarily lead to similar differences in lake water
temperatures.</p>
</sec>
<sec id="Ch1.S4.SS5">
  <title>Implications for palaeoecological studies</title>
      <p>In general, we found that the stable isotopic composition of ephippia
closely reflected the stable isotopic composition of <italic>Daphnia</italic>. The offsets were
consistent within treatments and between most treatments (Fig. 4), and the
ephippia stable isotope ratios responded to the manipulations in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">algae</mml:mi></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">water</mml:mi></mml:msub></mml:math></inline-formula> that we performed. Studies
investigating the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N values of fossil
<italic>Daphnia</italic> ephippia have recorded shifts of up to 5 to 10 ‰ in
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values (Wooller et al., 2012; Frossard et al., 2014) and
3 ‰ in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N values (Griffiths et al., 2010).
Shifts of 2 to 3 ‰ in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values have been
reported for fossil chironomid head capsules (Wooller et al., 2004;
Verbruggen et al., 2010b). In our experiment, the standard deviation of the
offset between <italic>Daphnia</italic> and ephippia stable isotope ratios was much smaller than the
reported shifts in stable isotope ratios of fossil remains: <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.4 ‰
for <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C, <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O (<inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.8 ‰ for <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C when
including Treatment 4 at 20 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C). If our findings are
representative of the offset in stable isotope ratios between <italic>Daphnia</italic> and their
ephippia in nature, they indicate that reported shifts in stable isotope
ratios of fossil ephippia can reliably be interpreted as indicating past
variations in <italic>Daphnia</italic> stable isotope ratios. These in turn can be expected to
reflect past changes in isotopic composition of <italic>Daphnia</italic> diet and/or the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O of the water they lived in. While experiments offer the
possibility to closely control the food sources and growth conditions for
<italic>Daphnia</italic>, they cannot cover the full range of environments and interactions found in
nature. Further studies in the field, in the fossil record and in an
experimental setting are therefore needed to confirm the findings that we present
here and to improve our understanding of the relationship between the stable
isotopic composition of food, ambient water and chitinous fossilizing
structures produced by <italic>Daphnia</italic> and other invertebrates. Although we only cultured
<italic>Daphnia</italic> at two different temperatures, we found indications that temperature may
have affected <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N on the one hand and the relationship
between <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">water</mml:mi></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">Daphnia</mml:mi></mml:msub></mml:math></inline-formula>
values on the other in an experimental setting. Future efforts focused on constraining the
effect of temperature on these offsets and relationships are therefore
particularly necessary.</p>
</sec>
</sec>

      
      </body>
    <back><ack><title>Acknowledgements</title><p>We thank Christine Dambone-Boesch and Esther Keller for their help in
maintaining the algae cultures and Päivi Rinta for feeding the
<italic>Daphnia</italic> and exchanging the water on occasion. We also thank the Cantonal Bureau for
Waste, Water, Energy and Air (AWEL, Zürich) for providing data on the
water chemistry of Greifensee. We thank two anonymous referees for
their valuable comments on an earlier version of this manuscript. This
research was supported by the European Research Council under the European
Union's Seventh Framework Programme (FP/2007-2013)/ERC grant agreement no.
239858 (RECONMET) and by a grant of the Swiss Science Foundation
(CR3213_125211 to P.S.).<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: T. J. Battin</p></ack><ref-list>
    <title>References</title>

      <ref id="bib1.bib1"><label>1</label><mixed-citation>Adams, T. S. and Sterner, R. W.: The effect of dietary nitrogen content on
trophic level <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>15</mml:mn></mml:msup></mml:math></inline-formula>N enrichment, Limnol. Oceanogr., 45, 601–607, 2000.</mixed-citation></ref>
      <ref id="bib1.bib2"><label>2</label><mixed-citation>
Barnes, C., Sweeting, C. J., Jennings, S., Barry, J. T., and Polunin, N. V.
C.: Effect of temperature and ration size on carbon and nitrogen stable
isotope trophic fractionation, Funct. Ecol., 21, 356–362, 2007.</mixed-citation></ref>
      <ref id="bib1.bib3"><label>3</label><mixed-citation>Belle, S., Parent, C., Frossard, V., Verneaux, V., Millet, L., Chronopoulou,
P-M., Sabatier, P., and Magny, M.: Temporal changes in the contribution of
methane-oxidizing bacteria to the biomass of chironomid larvae determined
using stable carbon isotopes and ancient DNA, J. Paleolimnol., 52, 215–228,
<ext-link xlink:href="http://dx.doi.org/10.1007/s10933-014-9789-z" ext-link-type="DOI">10.1007/s10933-014-9789-z</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib4"><label>4</label><mixed-citation>Cáceres, C. E. and Tessier, A. J.: Incidence of diapause varies among
populations of <italic>Daphnia pulicaria</italic>, Oecologia, 141, 425–31, <ext-link xlink:href="http://dx.doi.org/10.1007/s00442-004-1657-5" ext-link-type="DOI">10.1007/s00442-004-1657-5</ext-link>,
2004.</mixed-citation></ref>
      <ref id="bib1.bib5"><label>5</label><mixed-citation>
Degens, E. T., Guillard, R. R. L., Sackett, W. M., and Hellebust, J. A.:
Metabolic fractionation of carbon isotopes in marine plankton – I.
Temperature and respiration experiments, Deep-Sea Res., 15,
1–9, 1968.</mixed-citation></ref>
      <ref id="bib1.bib6"><label>6</label><mixed-citation>
DeNiro, M. and Epstein, S.: Influence of diet on the distribution of
nitrogen isotopes in animals, Geochim. Cosmochim. Ac., 45, 341–351, 1981.</mixed-citation></ref>
      <ref id="bib1.bib7"><label>7</label><mixed-citation>
DeNiro, M. J. and Epstein, S.: Influence of diet on the distribution of
carbon isotopes in animals, Geochim. Cosmochim. Ac., 42, 495–506, 1978.</mixed-citation></ref>
      <ref id="bib1.bib8"><label>8</label><mixed-citation>Frossard, V., Belle, S., Verneaux, V., Millet, L., and Magny, M.: A study of
the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C offset between chironomid larvae and their exuvial
head capsules: implications for palaeoecology, J. Paleolimnol., 50,
379–386, <ext-link xlink:href="http://dx.doi.org/10.1007/s10933-013-9732-8" ext-link-type="DOI">10.1007/s10933-013-9732-8</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib9"><label>9</label><mixed-citation>Frossard, V., Verneaux, V., Millet, L., Jenny, J.-P., Arnaud, F., Magny, M.,
and Perga, M.-E.: Reconstructing long-term changes (150 years) in the carbon
cycle of a clear-water lake based on the stable carbon isotope composition
(<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C) of chironomid and cladoceran subfossil remains, Freshwater
Biol., 59, 789–802, <ext-link xlink:href="http://dx.doi.org/10.1111/fwb.12304" ext-link-type="DOI">10.1111/fwb.12304</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib10"><label>10</label><mixed-citation>
Gannon, J. E.: Two counting cells for the enumeration of zooplankton
micro-crustacea, Trans. Am. Microsc. Soc., 90, 486–490, 1971.</mixed-citation></ref>
      <ref id="bib1.bib11"><label>11</label><mixed-citation>
Geller, W. and Müller, H.: The filtration apparatus of Cladocera: Filter
mesh-sizes and their implications on food selectivity, Oecologia, 49,
316–321, 1981.</mixed-citation></ref>
      <ref id="bib1.bib12"><label>12</label><mixed-citation>Goedkoop, W., Åkerblom, N., and Demandt, M. H.: Trophic fractionation of
carbon and nitrogen stable isotopes in <italic>Chironomus riparius</italic> reared on food of aquatic and
terrestrial origin, Freshwater Biol., 51, 878–886,
<ext-link xlink:href="http://dx.doi.org/10.1111/j.1365-2427.2006.01539.x" ext-link-type="DOI">10.1111/j.1365-2427.2006.01539.x</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bib13"><label>13</label><mixed-citation>Gophen, M. and Geller, W.: Filter mesh size and food particle uptake by
<italic>Daphnia</italic>, Oecologia, 64, 408–412, 1984.</mixed-citation></ref>
      <ref id="bib1.bib14"><label>14</label><mixed-citation>Griffiths, K., Michelutti, N., Blais, J. M., Kimpe, L. E., and Smol, J. P.:
Comparing nitrogen isotopic signals between bulk sediments and invertebrate
remains in High Arctic seabird-influenced ponds, J. Paleolimnol., 44,
405–412, <ext-link xlink:href="http://dx.doi.org/10.1007/s10933-009-9354-3" ext-link-type="DOI">10.1007/s10933-009-9354-3</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib15"><label>15</label><mixed-citation>
Guillard, R. L.: Cultures of phytoplankton for feeding of marine
invertebrates, in: Culture of marine invertebrate animals conference, edited
by: Smith, W. L. and Chanley, M. H., Plenum Press, New York,  p. 338, 1975.</mixed-citation></ref>
      <ref id="bib1.bib16"><label>16</label><mixed-citation>
Hammer, Ø., Harper, D. A. T., and Ryan, P. D.: PAST: paleontological
Statistics software package for education and data analysis, Paleontol.
Electron., 4, 9 pp., 2001.</mixed-citation></ref>
      <ref id="bib1.bib17"><label>17</label><mixed-citation>He, X. and Wang, W.-X.: Releases of ingested phytoplankton carbon by
<italic>Daphnia magna</italic>, Freshwater Biol., 51, 649–665, <ext-link xlink:href="http://dx.doi.org/10.1111/j.1365-2427.2006.01519.x" ext-link-type="DOI">10.1111/j.1365-2427.2006.01519.x</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bib18"><label>18</label><mixed-citation>Heiri, O., Schilder, J., and Hardenbroek, M. van: Stable isotopic analysis of
fossil chironomids as an approach to environmental reconstruction: state of
development and future challenges, Fauna Nor., 31, 7–18,
<ext-link xlink:href="http://dx.doi.org/10.5324/fn.v31i0.1436" ext-link-type="DOI">10.5324/fn.v31i0.1436</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib19"><label>19</label><mixed-citation>
Hobson, K. A.: Applying Isotopic Methods to Tracking Animal Movements, in:
Tracking animal migration with stable isotopes, vol. 7961, edited by:
Hobson, K. A. and Wassenaar, L. I., Academic Press, Waltham,  45–78, 2008.</mixed-citation></ref>
      <ref id="bib1.bib20"><label>20</label><mixed-citation>Hobson, K. A. and Cherel, Y.: Isotopic reconstruction of marine food webs
using cephalopod beaks: new insight from captively raised <italic>Sepia officinalis</italic>, Can. J. Zoolog.,
84, 766–770, <ext-link xlink:href="http://dx.doi.org/10.1139/Z06-049" ext-link-type="DOI">10.1139/Z06-049</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bib21"><label>21</label><mixed-citation>Kamjunke, N., Benndorf, A., Wilbert, C., Opitz, M., Kranich, J., Bollenbach,
M., and Benndorf, J.: Bacteria ingestion by <italic>Daphnia galeata</italic> in a biomanipulated reservoir: a
mechanism stabilizing biomanipulation?, Hydrobiologia, 403, 109–121,
<ext-link xlink:href="http://dx.doi.org/10.1023/A:1003722318598" ext-link-type="DOI">10.1023/A:1003722318598</ext-link>, 1999.</mixed-citation></ref>
      <ref id="bib1.bib22"><label>22</label><mixed-citation>Kleiven, O. T., Larsson, P., and Hobæk, A.: Sexual reproduction in
<italic>Daphnia magna</italic> requires three stimuli, Oikos, 65, 197–206, 1992.</mixed-citation></ref>
      <ref id="bib1.bib23"><label>23</label><mixed-citation>Lampert, W.: <italic>Daphnia</italic>: Development of a model organism, in: Excellence in ecology,
p. 250, International ecology institute, Oldendorf/Luhe, 2011.</mixed-citation></ref>
      <ref id="bib1.bib24"><label>24</label><mixed-citation>
Leng, M. J. and Henderson A. C. G.: Recent advances in isotopes as
palaeolimnological proxies, J. Paleolimnol., 49, 481–496, 2013.</mixed-citation></ref>
      <ref id="bib1.bib25"><label>25</label><mixed-citation>Martínez del Rio, C., Wolf, N., Carleton, S. A., and Gannes, L. Z.:
Isotopic ecology ten years after a call for more laboratory experiments,
Biol. Rev. Camb. Philos., 84, 91–111,
<ext-link xlink:href="http://dx.doi.org/10.1111/j.1469-185X.2008.00064.x" ext-link-type="DOI">10.1111/j.1469-185X.2008.00064.x</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bib26"><label>26</label><mixed-citation>Matthews, B. and Mazumder, A.: Detecting trophic-level variation in consumer
assemblages, Freshwater Biol., 53, 1942–1953,
<ext-link xlink:href="http://dx.doi.org/10.1111/j.1365-2427.2008.02018.x" ext-link-type="DOI">10.1111/j.1365-2427.2008.02018.x</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib27"><label>27</label><mixed-citation>McConnaughey, T. and McRoy, C. P.: Food-Web structure and the fractionation
of Carbon isotopes in the bering sea, Mar. Biol., 53, 257–262,
<ext-link xlink:href="http://dx.doi.org/10.1007/BF00952434" ext-link-type="DOI">10.1007/BF00952434</ext-link>, 1979.</mixed-citation></ref>
      <ref id="bib1.bib28"><label>28</label><mixed-citation>
McCutchan, J. H., Lewis, W. M., Kendall, C., and Mcgrath, C. C.: Variation in
trophic shift for stable isotope ratios of carbon, nitrogen, and sulfur,
Oikos, 102, 378–390, 2003.</mixed-citation></ref>
      <ref id="bib1.bib29"><label>29</label><mixed-citation>
Miller, R. F., Voss-Foucart, M.-F., Toussaint, C., and Jeuniaux, C.: Chitin
preservation in quaternary Coleoptera: preliminary results, Palaeogeogr.
Palaeocl., 103, 133–140, 1993.</mixed-citation></ref>
      <ref id="bib1.bib30"><label>30</label><mixed-citation>Minagawa, M. and Wada, E.: Stepwise enrichment of <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>15</mml:mn></mml:msup></mml:math></inline-formula>N along food
chains: Further evidence and the relation between <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N and
animal age, Geochim. Cosmochim. Ac., 48, 1135–1140, 1984.</mixed-citation></ref>
      <ref id="bib1.bib31"><label>31</label><mixed-citation>Mintenbeck, K., Brey, T., Jacob, U., Knust, R., and Struck, U.: How to
account for the lipid effect on carbon stable-isotope ratio (<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C): sample treatment effects and model bias, J. Fish Biol., 72,
815–830, <ext-link xlink:href="http://dx.doi.org/10.1111/j.1095-8649.2007.01754.x" ext-link-type="DOI">10.1111/j.1095-8649.2007.01754.x</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib32"><label>32</label><mixed-citation>Möst, M.: Environmental change and its impact on hybridising <italic>Daphnia</italic> species
complexes, PhD thesis, ETH,  Zurich, 139 pp., <ext-link xlink:href="http://dx.doi.org/10.3929/ethz-a-010076219" ext-link-type="DOI">10.3929/ethz-a-010076219</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib33"><label>33</label><mixed-citation>Nielson, K. E. and Bowen, G. J.: Hydrogen and oxygen in brine shrimp chitin
reflect environmental water and dietary isotopic composition, Geochim.
Cosmochim. Ac., 74, 1812–1822, <ext-link xlink:href="http://dx.doi.org/10.1016/j.gca.2009.12.025" ext-link-type="DOI">10.1016/j.gca.2009.12.025</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib34"><label>34</label><mixed-citation>Perga, M.-E.: Potential of <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of
cladoceran subfossil exoskeletons for paleo-ecological studies, J.
Paleolimnol., 44, 387–395, <ext-link xlink:href="http://dx.doi.org/10.1007/s10933-009-9340-9" ext-link-type="DOI">10.1007/s10933-009-9340-9</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib35"><label>35</label><mixed-citation>Perga, M.-E.: Taphonomic and early diagenetic effects on the C and N stable
isotope composition of cladoceran remains: implications for paleoecological
studies, J. Paleolimnol., 46, 203–213, <ext-link xlink:href="http://dx.doi.org/10.1007/s10933-011-9532-y" ext-link-type="DOI">10.1007/s10933-011-9532-y</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib36"><label>36</label><mixed-citation>Pinnegar, J. K. and Polunin, N. V. C.: Differential fractionation of <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N among fish tissues: implications for the
study of trophic interactions, Funct. Ecol., 13, 225–231,
<ext-link xlink:href="http://dx.doi.org/10.1046/j.1365-2435.1999.00301.x" ext-link-type="DOI">10.1046/j.1365-2435.1999.00301.x</ext-link>, 1999.</mixed-citation></ref>
      <ref id="bib1.bib37"><label>37</label><mixed-citation>Power, M., Guiguer, K. R. R. A., and Barton, D. R.: Effects of temperature on
isotopic enrichment in <italic>Daphnia magna</italic>: implications for aquatic food-web studies., Rapid
Commun. Mass Sp., 17, 1619–1625, <ext-link xlink:href="http://dx.doi.org/10.1002/rcm.1094" ext-link-type="DOI">10.1002/rcm.1094</ext-link>, 2003.</mixed-citation></ref>
      <ref id="bib1.bib38"><label>38</label><mixed-citation>
R Core Team: R: A language and environment for statistical computing, R
Foundation for Statistical Computing, Vienna, Austria, 2013.</mixed-citation></ref>
      <ref id="bib1.bib39"><label>39</label><mixed-citation>Rubenstein, D. R. and Hobson, K. A.: From birds to butterflies: animal
movement patterns and stable isotopes, Trends Ecol. Evol., 19, 256–263,
<ext-link xlink:href="http://dx.doi.org/10.1016/j.tree.2004.03.017" ext-link-type="DOI">10.1016/j.tree.2004.03.017</ext-link>, 2004.</mixed-citation></ref>
      <ref id="bib1.bib40"><label>40</label><mixed-citation>Schilder, J. Bastviken, D., van Hardenbroek, M., Leuenberger, M., Rinta, P.,
Stötter, T., and Heiri, O.: The stable carbon isotopic composition of
<italic>Daphnia</italic> ephippia in small, temperate lakes reflects in-lake methane availability,
Limnol. Oceanogr., 60, 1064–1075, <ext-link xlink:href="http://dx.doi.org/10.1002/lno.10079" ext-link-type="DOI">10.1002/lno.10079</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib41"><label>41</label><mixed-citation>
Schimmelmann, A.: Carbon, nitrogen and oxygen stable isotope ratios in
chitin, in: Chitin: formation and diagenesis, edited by: Gupta,  N. S.,
Springer, New York, 81–103, 2011.</mixed-citation></ref>
      <ref id="bib1.bib42"><label>42</label><mixed-citation>Schimmelmann, A. and DeNiro, M. J.: Stable isotopic studies on chitin. III.
The D/H and <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>18</mml:mn></mml:msup></mml:math></inline-formula>O/<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>16</mml:mn></mml:msup></mml:math></inline-formula>O ratios in arthropod chitin, Geochim.
Cosmochim. Ac., 50, 1485–1496, 1986.</mixed-citation></ref>
      <ref id="bib1.bib43"><label>43</label><mixed-citation>Smyntek, P. M., Teece, M. A., Schulz, K. L., and Thackeray, S. J.: A standard
protocol for stable isotope analysis of zooplankton in aquatic food web
research using mass balance correction models, Limnol. Oceanogr., 52,
2135–2146, <ext-link xlink:href="http://dx.doi.org/10.4319/lo.2007.52.5.2135" ext-link-type="DOI">10.4319/lo.2007.52.5.2135</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bib44"><label>44</label><mixed-citation>Soto, D. X., Wassenaar, L. I., and Hobson, K. A.: Stable hydrogen and oxygen
isotopes in aquatic food webs are tracers of diet and provenance, edited by:
Raubenheimer, D., Funct. Ecol., 27, 535–543, <ext-link xlink:href="http://dx.doi.org/10.1111/1365-2435.12054" ext-link-type="DOI">10.1111/1365-2435.12054</ext-link>,
2013.</mixed-citation></ref>
      <ref id="bib1.bib45"><label>45</label><mixed-citation>
Szeroczyńska, K. and Sarmaja-Korjonen, K.: Atlas of subfossil
cladocera from central and northern Europe, Friends of the Lower Vistula
society, Świecie., 2007.</mixed-citation></ref>
      <ref id="bib1.bib46"><label>46</label><mixed-citation>Vanderklift, M. A. and Ponsard, S.: Sources of variation in consumer-diet
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N enrichment: a meta-analysis, Oecologia, 136, 169–82,
<ext-link xlink:href="http://dx.doi.org/10.1007/s00442-003-1270-z" ext-link-type="DOI">10.1007/s00442-003-1270-z</ext-link>, 2003.</mixed-citation></ref>
      <ref id="bib1.bib47"><label>47</label><mixed-citation>Vander Zanden, M. J. and Rasmussen, J. B.: Primary consumer <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N and the trophic position of aquatic
consumers, Ecology, 80, 1395–1404, 1999.</mixed-citation></ref>
      <ref id="bib1.bib48"><label>48</label><mixed-citation>Vander Zanden, M. J. and Rasmussen, J. B.: Variation in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N
and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C trophic fractionation: Implications for aquatic food
web studies, Limnol. Oceanogr., 46, 2061–2066, 2001.</mixed-citation></ref>
      <ref id="bib1.bib49"><label>49</label><mixed-citation>Van Hardenbroek, M., Gröcke, D. R., Sauer, P. E., and Elias, S. A.: North
American transect of stable hydrogen and oxygen isotopes in water beetles
from a museum collection, J. Paleolimnol., 48, 461–470,
<ext-link xlink:href="http://dx.doi.org/10.1007/s10933-012-9623-4" ext-link-type="DOI">10.1007/s10933-012-9623-4</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib50"><label>50</label><mixed-citation>Van Hardenbroek, M., Heiri, O., Parmentier, F. J. W., Bastviken, D.,
Ilyashuk, B. P., Wiklund, J. A., Hall, R. I., and Lotter, A. F.: Evidence for
past variations in methane availability in a Siberian thermokarst lake based
on <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C of chitinous invertebrate remains, Quaternary Sci. Rev., 66,
74–84, <ext-link xlink:href="http://dx.doi.org/10.1016/j.quascirev.2012.04.009" ext-link-type="DOI">10.1016/j.quascirev.2012.04.009</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib51"><label>51</label><mixed-citation>Van Hardenbroek, M., Lotter, A. F., Bastviken, D., Andersen, T. J., and
Heiri, O.: Taxon-specific <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C analysis of chitinous
invertebrate remains in sediments from Strandsjön, Sweden, J.
Paleolimnol., 52, 95–105, <ext-link xlink:href="http://dx.doi.org/10.1007/s10933-014-9780-8" ext-link-type="DOI">10.1007/s10933-014-9780-8</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib52"><label>52</label><mixed-citation>Verbruggen, F., Heiri, O., Reichart, G.-J., De Leeuw, J. W., Nierop, K. G.
J., and Lotter, A. F.: Effects of chemical pretreatments on <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O
measurements, chemical composition, and morphology of chironomid head
capsules, J. Paleolimnol., 43, 857–872, 2010a.</mixed-citation></ref>
      <ref id="bib1.bib53"><label>53</label><mixed-citation>Verbruggen, F., Heiri, O., Reichart, G.-J., and Lotter, A. F.: Chironomid
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O as a proxy for past lake water <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O: a
Lateglacial record from Rotsee (Switzerland), Quaternary Sci. Rev., 29,
2271–2279, <ext-link xlink:href="http://dx.doi.org/10.1016/j.quascirev.2010.05.030" ext-link-type="DOI">10.1016/j.quascirev.2010.05.030</ext-link>, 2010b.</mixed-citation></ref>
      <ref id="bib1.bib54"><label>54</label><mixed-citation>Verbruggen, F., Heiri, O., Reichart, G. J., Blaga, C., and Lotter, A. F.:
Stable oxygen isotopes in chironomid and cladoceran remains as indicators
for lake-water <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O, Limnol. Oceanogr., 56, 2071–2079,
<ext-link xlink:href="http://dx.doi.org/10.4319/lo.2011.56.6.2071" ext-link-type="DOI">10.4319/lo.2011.56.6.2071</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib55"><label>55</label><mixed-citation>Vona, V., Di Martino Rigano, V., Lobosco, O., Carfagna, S., Esposito, S., and
Rigano, C.: Temperature responses of growth, photosynthesis, respiration and
NADH: nitrate reductase in cryophilic and mesophilic algae, New Phytol.,
163, 325–331, <ext-link xlink:href="http://dx.doi.org/10.1111/j.1469-8137.2004.01098.x" ext-link-type="DOI">10.1111/j.1469-8137.2004.01098.x</ext-link>, 2004.</mixed-citation></ref>
      <ref id="bib1.bib56"><label>56</label><mixed-citation>Wang, Y. V., O'Brien, D. M., Jenson, J., Francis, D., and Wooller, M. J.: The
influence of diet and water on the stable oxygen and hydrogen isotope
composition of Chironomidae (Diptera) with paleoecological implications,
Oecologia, 160, 225–233, <ext-link xlink:href="http://dx.doi.org/10.1007/s00442-009-1303-3" ext-link-type="DOI">10.1007/s00442-009-1303-3</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bib57"><label>57</label><mixed-citation>Wooller, M. J., Francis, D., Fogel, M. L., Miller, G. H., Walker, I. R., and
Wolfe, A. P.: Quantitative paleotemperature estimates from <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>18</mml:mn></mml:msup></mml:math></inline-formula>O of
chironomid head capsules preserved in arctic lake sediments, J.
Paleolimnol., 31, 267–274, 2004.
</mixed-citation></ref><?xmltex \hack{\newpage}?>
      <ref id="bib1.bib58"><label>58</label><mixed-citation>Wooller, M. J., Pohlman, J. W., Gaglioti, B. V., Langdon, P., Jones, M.,
Walter Anthony, K. M., Becker, K. W., Hinrichs, K.-U., and Elvert, M.:
Reconstruction of past methane availability in an Arctic Alaska wetland
indicates climate influenced methane release during the past <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 12,000 years,
J. Paleolimnol., 48, 27–42, <ext-link xlink:href="http://dx.doi.org/10.1007/s10933-012-9591-8" ext-link-type="DOI">10.1007/s10933-012-9591-8</ext-link>,
2012.</mixed-citation></ref>

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    </app></app-group></back>
    </article>
