<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "journalpub-oasis3.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" dtd-version="3.0"><?xmltex \makeatother\@nolinetrue\makeatletter?>
  <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-12-5481-2015</article-id><title-group><article-title>Impact of earthworm <italic>Lumbricus terrestris</italic>
living sites on the greenhouse gas balance of no-till arable soil</article-title>
      </title-group><?xmltex \runningtitle{Impact of earthworm \textit{Lumbricus terrestris} living sites}?><?xmltex \runningauthor{M. Nieminen et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Nieminen</surname><given-names>M.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Hurme</surname><given-names>T.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Mikola</surname><given-names>J.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4336-2648</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Regina</surname><given-names>K.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Nuutinen</surname><given-names>V.</given-names></name>
          <email>visa.nuutinen@luke.fi</email>
        </contrib>
        <aff id="aff1"><label>1</label><institution>Natural Resources Institute Finland (Luke), Natural Resources and
Bioproduction, 31600 Jokioinen, Finland</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Environmental Sciences, University of Helsinki, 15140
Lahti, Finland</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">V. Nuutinen (visa.nuutinen@luke.fi)</corresp></author-notes><pub-date><day>23</day><month>September</month><year>2015</year></pub-date>
      
      <volume>12</volume>
      <issue>18</issue>
      <fpage>5481</fpage><lpage>5493</lpage>
      <history>
        <date date-type="received"><day>27</day><month>March</month><year>2015</year></date>
           <date date-type="rev-request"><day>29</day><month>April</month><year>2015</year></date>
           <date date-type="accepted"><day>8</day><month>September</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/12/5481/2015/bg-12-5481-2015.html">This article is available from https://bg.copernicus.org/articles/12/5481/2015/bg-12-5481-2015.html</self-uri>
<self-uri xlink:href="https://bg.copernicus.org/articles/12/5481/2015/bg-12-5481-2015.pdf">The full text article is available as a PDF file from https://bg.copernicus.org/articles/12/5481/2015/bg-12-5481-2015.pdf</self-uri>


      <abstract>
    <p>We studied the effect of the deep-burrowing earthworm <italic>Lumbricus terrestris</italic> on the greenhouse gas (GHG) fluxes and global warming potential
(GWP) of arable no-till soil using both field measurements and a controlled
15-week laboratory experiment. In the field, the emissions of nitrous oxide
(N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O) and carbon dioxide (CO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> were on average 43 and 32 %
higher in areas occupied by <italic>L. terrestris</italic> (the presence judged by
the surface midden) than in adjacent, unoccupied areas (with no midden). The
fluxes of methane (CH<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> were variable and had no consistent difference
between the midden and non-midden areas. Removing the midden did not affect
soil N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions. The laboratory results were consistent
with the field observations in that the emissions of N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
were on average 27 and 13 % higher in mesocosms with than without
<italic>L. terrestris</italic>. Higher emissions of N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O were most likely due to
the higher content of mineral nitrogen and soil moisture under the middens,
whereas <italic>L. terrestris</italic> respiration fully explained the observed
increase in CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions in the laboratory. In the field, the
significantly elevated macrofaunal densities in the vicinity of middens
likely contributed to the higher emissions from areas occupied by <italic>L. terrestris</italic>. The activity of <italic>L. terrestris</italic> increased the GWP of
field and laboratory soil by 50 and 18 %, but only 6 and 2 % of this
increase was due to the enhanced N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emission. Our results suggest that
high N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions commonly observed in no-till soils can partly be
explained by the abundance of <italic>L. terrestris</italic> under no-till management
and that <italic>L. terrestris</italic> can markedly regulate the climatic effects of
different cultivation practises.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

      <?xmltex \hack{\newpage}?>
<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>Agricultural soils can significantly contribute to the global greenhouse gas
(GHG) exchange, but the contribution varies among the gases. For nitrous
oxide (N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O), the emissions from agricultural soils account for 60 %
of the anthropogenic emissions (Smith et al., 2007), whereas for methane
(CH<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, mineral agricultural soils are usually sinks as the aerobic
topsoil favours methanotrophic bacteria (Hütsch, 2001). For carbon
dioxide (CO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, soils can be either sinks or sources, depending on the
balance of carbon input and output (Stockmann et al., 2013). N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O
emissions are mainly regulated by soil oxygen status, but also by the
availability of nitrogen and organic carbon (Granli and Bøckman, 1994).
The oxygen availability varies with soil structure and moisture and the
potential for N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions is greatest when the water-filled pore space
(WFPS) is 60–70 % (Davidson, 1991) as this enables both nitrification
and denitrification. When the WFPS is above 70 %, only denitrification
takes place due to the shortage of oxygen and the dominating end product is
the N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> gas.</p>
      <p>The application of no-till practice has recently increased in the agriculture
(Derpsch et al., 2010). No-till often increases carbon sequestration to soils
and is therefore considered as a useful cultivation technique in climate
change mitigation (Lal, 1997). Elevated N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions may, however,
decrease the atmospheric benefits of no-till (Li et al., 2005; Sheehy et al.,
2013; Palm et al., 2014) as the denser physical structure (Tebrügge and
Düring, 1999; Schjønning and Rasmussen, 2000) and higher moisture
content (e.g. Sharratt, 1996; Gregorich et al., 2008) of no-tilled soils lead
to higher N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions. The abundance and diversity of earthworms can
also be markedly higher under no-till than conventional tillage (Edwards and
Lofty, 1982; Chan, 2001; Rothwell et al., 2011) and the role of earthworms in
the regulation and enhancement of GHG emissions has recently gained
increasing attention. Field results are still scarce, but a recent
meta-analysis of laboratory studies suggests that the presence of earthworms
can increase N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions by 42 and 33 %, respectively
(Lubbers et al., 2013a). A number of factors potentially contribute to this
phenomenon. For instance, by burrowing, casting and mixing crop residues into
the soil, the earthworms change soil organic carbon cycling, porosity,
aggregation and gas diffusivity, enhance decomposition and increase the
amount of mineral nitrogen in the soil (e.g. Subler and Kirsch, 1998; Lubbers
et al., 2011). Earthworm casts and burrow linings also have higher microbial
activity and more denitrifying bacteria than the bulk soil (Svensson et al.,
1986; Brown et al., 2000; Elliott et al., 1990) and the moist anaerobic
environment in the earthworm gut can stimulate microbial N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O production
(Karsten and Drake, 1997; Drake and Horn, 2006). On the other hand,
earthworms can increase microaggregate formation and the stability of soil
carbon (Fonte et al., 2007; Six and Paustian, 2014), and it is still unclear
whether earthworms increase or decrease soil organic carbon stocks in the
long term (Lubbers et al., 2013a; Blouin et al., 2013; Zhang et al., 2013).</p>
      <p>Reduced tillage and no-till increase the densities of anecic, deep-burrowing
earthworms in arable fields (Whalen and Fox, 2007). In the temperate and
boreal fields, this group is mainly represented by the dew-worm,
<italic>Lumbricus terrestris</italic> L. (Chan, 2001; Kladivko, 2001). In Finland,
<italic>L. terrestris</italic> is the second most common earthworm species in arable
fields, lagging only behind <italic>Aporrectodea caliginosa</italic> Sav. (Nieminen
et al., 2011), and has the typical positive association with non-inversion
cultivation (Nuutinen, 1992; Nuutinen et al., 2011). It is a large earthworm,
which efficiently forages on crop residues (Subler and Kirsch, 1998; Shuster
et al., 2000) and builds middens (i.e. small mounds of collected litter and
surface castings) at the openings of its permanent burrows, often penetrating
deeper than 1 m (e.g. Nuutinen and Butt, 2003). The middens are biological
hot spots with high microbial activity (Schrader and Seibel, 2001; Aira et
al., 2009), diverse invertebrate populations (Hamilton and Sillman, 1989;
Maraun et al., 1999; Butt and Lowe, 2007) and higher nutrient and organic
carbon contents than the surrounding soil (Subler and Kirsch, 1998; Wilcox et
al., 2002; Aira et al., 2009). By transferring plant litter into the subsoil,
<italic>L. terrestris</italic> may also increase the subsoil carbon stocks; for
example, Don et al. (2008) estimated that <italic>L. terrestris</italic> sequestrates
carbon in the burrow linings at the rate of 22 g C m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr<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>. On
the other hand, the turnover time of burrow wall carbon can be only 3–5
years (Don et al., 2008). This is because the well-aerated burrow walls allow
the expansion of high microbial activity down the soil profile (Loquet et
al., 1977 in Devliegher and Verstraete, 1997) and the interactions among
microbes and their feeders in the burrow walls are intense and accelerate
carbon and nutrient mineralization (Tiunov and Scheu, 1999; Görres et
al., 1999, 2001). The burrows of <italic>L. terrestris</italic> are also bypass flow
routes for percolating water, and depending on arable soil management, they
may increase leaching of topsoil nitrogen to the subsoil (Shuster et al.,
2003).</p>
      <p>Most of the investigations of earthworm effects on GHG emissions have been
carried out in the laboratory (Bertora et al., 2007; Rizhiya et al., 2007;
Giannopoulos et al., 2010; Lubbers et al., 2011; Augustenborg et al., 2012)
and to our knowledge, only three field experiments have been conducted
(Borken et al., 2000; Amador and Avizinis, 2013; Lubbers et al., 2013b).
Recent reviews have underlined the need for field studies with all major
gases (N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, 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 CH<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> to provide a more comprehensive
picture of earthworm contribution to soil GHG emissions (Lubbers et al.,
2013a; Blouin et al., 2013). In this study, we aimed at filling this research
gap by measuring the small-scale spatial variation of soil biological and
chemical properties and N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, 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 CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> fluxes caused by
<italic>L. terrestris</italic> in a northern, arable no-till field. We hypothesized
that (1) the N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions are greater in <italic>L. terrestris</italic> midden areas (higher earthworm activity) compared to adjacent
non-midden areas (lower earthworm activity), while CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> emissions remain
unaffected; (2) the middens contribute to gas production and their removal
from the soil surface decreases instant gas emissions; and (3) the biological
and chemical soil properties essential for gas balance differ between the
midden and non-midden areas. Moreover, to test how well the earthworm effects
on GHG emissions in the field can be predicted by laboratory experiments, we
established a controlled laboratory study with a <italic>L. terrestris</italic>
treatment and measurements of response variables identical to those in the
field. Our aim was not to establish a laboratory experiment that would
perfectly mimic our field situation, but to establish a typical laboratory
experiment to test whether laboratory studies in general can produce results
that resemble the field results. This is an important aspect as most earlier
experiments have been carried out in the laboratory and e.g. the review by
Lubbers et al. (2013a) is entirely based on laboratory studies.</p>
</sec>
<sec id="Ch1.S2">
  <title>Methods</title>
<sec id="Ch1.S2.SS1">
  <title>Field measurements</title>
      <p>Field measurements of N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, 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 CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> emissions were
conducted in a long-term, no-till field (11 years of no-till cultivation) in
Säkylä (60<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>58<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> N, 22<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>31<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> E), south-western
Finland, in October 2008. The soil at the site (depth 0–20 cm) is fine sand
with 15 % clay, 29 % silt and 56 % sand. Soil pH (H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O) is
6.1 and the N and C concentrations 0.1 and 2.1 %, respectively. The
topsoil (0–5 cm) bulk density is 1.37 g cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. The annual crops
cultivated in the field in 2007 and 2008 were turnip rape and barley,
respectively. Ten large middens and their adjacent non-midden areas were
randomly chosen within two 20 m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> areas (called sites A and B; five
pairs in both) 1 month after crop harvest, which according to our experience
is a time of high <italic>L. terrestris</italic> activity. The two sites, 30 m
apart, were needed to obtain a sufficient number of treatment pairs, but they
also provide data for testing whether the treatment effect varies in space at
the field scale. For this purpose, the site was included in the statistical
models as an explaining factor. In order to minimize the environmental
variation within treatment pairs, the distance between the midden and
non-midden areas within a pair was kept short; the average distance between
the outer rims of measurement chambers within a pair was 13 cm (min 3 cm,
max 34 cm), while the average distance between a pair and its closest
counterpart was 1.35 m (min 0.37 m, max 3.00 m).</p>
      <p>The gas measurements were accomplished using round PVC chambers (diameter
15 cm, height 10 cm). Five gas measurements were carried out at varying
intervals over a period of 2 weeks. Chambers were pressed into the soil to
the depth of approximately 2 cm and the soil was compressed by hand around
the chambers. Permanent installations were not established in order to avoid
the disturbance of earthworms, and since the experiment was conducted after
harvest, it was not necessary to take into account the decrease of CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
flux that may follow when live roots are cut by the chamber (see Heinemeyer
et al., 2011). In each measurement, 20 mL of chamber air was sampled through
a rubber septum using a polypropylene syringe (BD Plastipak, Becton,
Dickinson and Company, Franklin Lakes, NJ, USA) immediately and 60 min after
the placement of the chamber. The air was then transferred into pre-evacuated
12 mL glass vials (Exetainer, Labco Ltd., High Wycombe, UK). Before each gas
sample, the air in the chamber was mixed by one syringe flush.</p>
      <p>The air temperature, which was measured using a Fluke 52 II thermometer
(Fluke Corp., USA), fluctuated between 7.2 and 11.8 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C during the
gas measurements. Air temperature, instead of the chamber temperature, was
used to define the gas volume for flux calculation as chamber warming due to
radiation is minimal in October. Soil moisture was measured next to each
“midden–non-midden” pair at the depth of 0–15 cm during each gas
measurement using a TRASE system I moisture meter and time domain
reflectometry (TDR; Soil Moisture Equipment Corp., Goleta, CA, USA). The
changes in soil temperature were followed using thermologgers (ElcoLog,
Elcoplast Oy, Finland), which were installed at the depth of 5 cm outside
the gas sampling areas (this data is missing for the two first gas
measurements).</p>
      <p>At the last measurement, gas samples were first taken as described above. The
middens (surface cast mounds and the associated residues) and the straw
litter of the non-midden areas were then removed and the gas measurements
were repeated to evaluate the effect of midden and straw material on gas
emissions. After these measurements, soil cores (diameter 5 cm, depth 5 cm)
were collected from the entrance of <italic>L. terrestris</italic> burrows and the
adjacent non-midden areas. The removed midden and straw material and the soil
samples were stored at <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>18 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C for 7.5 months before being analysed
for gravimetric moisture content, potential denitrification and mineral N
concentrations. To estimate earthworm abundances in the area of the gas
measurement, the measurement chamber was pushed deeper into the soil and the
earthworms were hand-sorted out of the obtained soil sample (diameter 15 cm,
depth 15 cm). Deep-residing earthworms were extracted from the bottom of the
pit by pouring 0.5–0.75 L formalin solution (0.5 %) into the pit and
collecting individuals that emerged within 30 min. Slugs, which were
abundant in the middens, were hand-sorted from the midden and non-midden area
samples and together with the earthworms were stored in 85 % ethanol,
weighted and identified into the species or genus level (Sims and Gerard,
1999; Kerney and Cameron, 1979).</p>
</sec>
<sec id="Ch1.S2.SS2">
  <title>Laboratory experiment</title>
      <p>The soil, barley stubble straw and <italic>L. terrestris</italic> individuals were
collected for the laboratory mesocosms in the beginning of November 2008 from
the same no-till field that was used for field measurements. The 15-week
experiment was designed to simulate the post-harvest autumn conditions of a
no-till field and during the set-up; all unnecessary manipulation of soil,
straw and earthworms was avoided to preserve the natural communities of
microbes and soil micro- and meso-fauna. The moist soil (moisture content
27 % of fresh mass) was first sieved (6 mm) and mixed to ensure soil
homogeneity. Any earthworms found were removed. Thirty PVC tubes (diameter
15 cm, height 45 cm, bottoms enclosed with plastic lids) were then filled
with the soil to the height of 43 cm. During filling, the soil was compacted
to achieve even bulk density among the tubes (mean 1.43 g cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, min
1.40 and max 1.46 g cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 30). The tubes were weighted (before
and after filling) and placed in an incubation room at 15–17 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C,
chosen as favourable temperature for <italic>L. terrestris</italic> activity (Butt,
1991), with a rhythm of 10 h day (fluorescent lamps providing on average
1102 lx) and 14 h night (no illumination). Air humidity was maintained
using a moistener, but varied from 26 to 81 % during the experiment. Soil
moisture content was adjusted to 28 % and kept approximately constant by
adding deionized water once a week (always 2 days before gas samplings) and
spraying the soil surface with water after gas measurements.</p>
      <p>The <italic>L. terrestris</italic> individuals used in the experiment were extracted
from the field using a mustard mixture (Gunn, 1992) and immediately washed in
tap water. Individuals were kept in moist soil for 9 days (dark,
4 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) before one large individual was added to each of the 15
randomly chosen mesocosms. Each individual was weighted (mean fresh mass
4.5 g, min 3.7 g, max 5.5 g) and the settling into the soil was
facilitated by creating an artificial burrow (depth 8.5 cm, diameter
0.5 cm) in the centre of the soil column. The remaining 15 mesocosms were
left without worms and served as controls. The <italic>L. terrestris</italic> and
control mesocosms were randomly placed in the incubation room as treatment
pairs. An even layer of chopped straw was added on the top of the soil in
each mesocosm (straw length 2 cm, total fresh mass 5 g), and to prevent
animal escape, the mesocosms were covered by a mesh. Emerging plant seedlings
were removed from the mesocosms during the experiment, whereas juvenile
earthworms, noticed to hatch from the cocoons, were not, as the removal would
have disturbed the experiment.</p>
      <p>The gas measurements were started 1 month after mesocosm establishment and
were repeated twelve times, at 1-week intervals, from December 2008 to
February 2009. The sampling was always carried out within 1 day. For the
measurements, air-proof plastic lids (diameter 15 cm, height 10 cm) were
first placed on the tubes air-tightly. The incubation lasted for 60 min and
the samples were collected according to the field protocol described above.
At the final date, gas fluxes were measured before and after removing
<italic>L. terrestris</italic> midden and straw residues. The soil samples for soil
moisture, potential denitrification and mineral N measurements were taken as
in the field. The tubes were emptied and the <italic>L. terrestris</italic>
individuals and earthworm juveniles, hatched from the cocoons during the
experiment, were hand-sorted out of the soil. A 100 g subsample was taken
from the mixed soil to estimate the mineral N content of the entire soil
column. At the end of the experiment, three of the <italic>L. terrestris</italic>
mesocosms had 1–3 and seven of the control mesocosms 1–2 small earthworm
juveniles (both dark and light pigmented unidentified species) having a
maximum individual fresh mass of 0.16 g. All earthworms were washed in
deionized water and weighted and, in order to determine their GHG production,
incubated in 210 mL flasks for 60 min (separately for experimental
<italic>L. terrestris</italic> and the group of juveniles). The GHG production was
estimated using 10 mL gas samples taken in the beginning and at the end of
the incubation. Three incubations of <italic>L. terrestris</italic> produced deviant
fluxes of N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, 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 CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>, and the results were excluded from
the data set.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <title>Analyses of gases, potential denitrification and mineral
nitrogen</title>
      <p>The gas samples were always analysed within 48 h after sampling using a gas
chromatograph (GC) equipped with a flame ionizer (FID), an electron capture
detector (ECD) and a nickel catalyst for converting CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> to CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>.
The precolumn and analytical columns consisted of 1.8 and 3 m long steel
columns, respectively, packed with 80/100 mesh Hayesep Q (Supelco Inc.,
Bellefonte, PA, USA). The GC (HP 6890 Series, GC System, Hewlett Packard,
USA) had a 10-way valve with a 2 mL sample loop and a backflush system for
separating water from the sample and for flushing the precolumn between the
runs. A six-way valve was used to lead the flow to either the FID or ECD.
The temperature of the GC oven, FID and ECD was 70, 300 and 350 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, respectively. Nitrogen was used as the
carrier gas and a mixture of argon and methane (5 %) as a make-up gas (1.4 mL min<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> to increase the ECD sensitivity. A standard gas mixture (AGA
Gas AB, Lidingö, Sweden) of known N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> and CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
concentrations was used for the calibration curve. The flux rate of each gas
was calculated using the gas accumulation rate during the 60 min enclosure
period. Cumulative fluxes were calculated by assuming linear changes between
subsequent measurement dates. The net gas balance as a global warming
potential (GWP) was determined using the factor 298 for N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and 25 for
CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> (Myhre et al., 2013).</p>
      <p>The denitrification potentials of the midden soil and the straw of the
<italic>L. terrestris</italic> middens and the adjacent non-midden areas were
determined as in Klemedtsson et al. (1988) and Henault et al. (1998) with
some modifications. In brief, the defrosted and sieved 10 g (d.m.) soil
samples (moisture was on average 26 % in the field and 21 % in the
laboratory samples) were placed in 120 mL bottles and 4 mL of distilled
water was added. The straw samples were combined within treatments (midden
vs. non-midden, separately for areas A and B), because the amount of material
in one sample was not enough for the analysis, and then divided into
2.5–5.5 g (d.m.) subsamples. After one night at 6 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, the samples
were transferred to 25 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C and treated with 5 mL of potassium
nitrate (KNO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> solution and 5 mL of glucose solution (corresponding to
amendments of 200 mg N and 500 mg C kg<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> soil). The bottles were
then sealed using butyl rubber septa and crimp seals, evacuated, and flushed
three times with dinitrogen gas. The overpressure in the bottles was released
through a 0.5 mm needle, pierced through the septum, and to prevent the
entry of oxygen into the bottle, the needle was mounted on a 1 mL plastic
syringe (without piston) filled with 0.1 mL distilled water. The bottles
were then amended with 12 mL of acetylene (C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> to block the
N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O reduction step of denitrification, which was regarded as the start
of the incubation (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0). Three mL gas samples were then taken after 15
and 45 min, followed by 1 mL samples after 75, 105, 135, 165, 195, 225 and
255 min, and these were injected into 12 mL evacuated vials. All samples
were diluted with N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> to a volume of 18 mL to ensure that the
concentrations were in the range of the calibration curve. Samples were
analysed using the Hewlett Packard GC as described above.</p>
      <p>For the analyses of soil ammonium and nitrate concentrations, samples were
first homogenized manually using a steel spatula, and from each sample 50 g
of fresh soil was mixed with 125 mL of 2 M KCl and shaken for 2 h on an
orbital shaker. The amount of straw material in one sample was too small for
the analysis, so straw samples were combined within treatments. The combined
samples were then divided into 6–21 g (f.w.) subsamples and treated
similarly as the soil samples. The extracts of soil and straw samples were
filtered through filter paper (130 g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, Tervakoski Oy, Tervakoski,
Finland) and analysed for nitrate and ammonium the next day after storage at
6 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. A colorimetric autoanalyser (QuikChem AE, Lachat Instruments,
Loveland, CO, USA) was used for the simultaneous analysis of nitrate and
ammonium.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <title>Statistical analyses</title>
      <p>The field data of N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, 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 CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> emissions were obtained
from a randomized complete block design with repeated measurements.
Altogether, there were ten pairs (blocking factor) of midden–non-midden
areas (treatment factor) from the two sites (A and B). The measurements at
the same experimental site were correlated, which was taken into account in
the statistical models through appropriate covariance structures. The
statistical model thus became

                <disp-formula specific-use="align" content-type="numbered"><mml:math display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:msub><mml:mi>y</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi><mml:mi>k</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mi mathvariant="italic">μ</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>s</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mrow><mml:mi>j</mml:mi><mml:mo>(</mml:mo><mml:mi>i</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mi>k</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mo>(</mml:mo><mml:mi>s</mml:mi><mml:mi>t</mml:mi><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mi>k</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi><mml:mi>k</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>d</mml:mi><mml:mi>l</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mo>(</mml:mo><mml:mi>s</mml:mi><mml:mi>d</mml:mi><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E1"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mo>(</mml:mo><mml:mi mathvariant="italic">β</mml:mi><mml:mi>d</mml:mi><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mi>l</mml:mi><mml:mo>(</mml:mo><mml:mi>i</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mi>d</mml:mi><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi>k</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mo>(</mml:mo><mml:mi>s</mml:mi><mml:mi>t</mml:mi><mml:mi>d</mml:mi><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mi>k</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">γ</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi><mml:mi>k</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            where <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">μ</mml:mi></mml:math></inline-formula> is the constant intercept, and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi>k</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mi>s</mml:mi><mml:mi>t</mml:mi><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mi>k</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>,<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mi>l</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mi>s</mml:mi><mml:mi>d</mml:mi><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mi>d</mml:mi><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi>k</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mi>s</mml:mi><mml:mi>t</mml:mi><mml:mi>d</mml:mi><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mi>k</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> are fixed main and
interaction effects for site (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>s</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, treatment (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and date (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>d</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. The
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mrow><mml:mi>j</mml:mi><mml:mo>(</mml:mo><mml:mi>i</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the random effect for block <inline-formula><mml:math display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula> within site <inline-formula><mml:math display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> and
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi><mml:mi>k</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is random plot-to-plot variation, all mutually
independent with variances var(<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mrow><mml:mi>j</mml:mi><mml:mo>(</mml:mo><mml:mi>i</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>2<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">β</mml:mi></mml:msub></mml:math></inline-formula> and
var(<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi><mml:mi>k</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>2<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="italic">ε</mml:mi></mml:msub></mml:math></inline-formula>. The (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="italic">β</mml:mi><mml:mi>d</mml:mi><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mi>l</mml:mi><mml:mo>(</mml:mo><mml:mi>i</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
represents the random date-specific contribution for block <inline-formula><mml:math display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> within site
<inline-formula><mml:math display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>, and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">γ</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi><mml:mi>k</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> represents the random error effect for observations
on the same plot (Gumpertz and Brownie, 1993). This model was used for
CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>. For N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, a simplified model was used as the site
had no effect on the fluxes of either gas. The effect of removing middens and
straw litter from the soil surface on N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, 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 CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>
emissions was analysed using a similar model as for the repeated gas
measurements, except that the repeated measurement effect of date was
replaced with the repeated measurement effect of before and after removal.
Analogously to the earlier models, the site effect was included in the model
for CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>, but not for N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. In the case of N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, log
transformation was used to meet the normality assumption.</p>
      <p>The background variables were measured at the last measurement date
(Table 4). Since these measurements were not repeated, the statistical models
used were simplified analogues of the model presented above, except for the
number of slugs, which was analysed using the non-parametric Wilcoxon sign
rank test as the assumptions of the parametric methods were not met. The
cumulative emissions of N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, 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 CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> were analysed using a
simplified non-repeated analogue of the model presented above. The analysis
of laboratory data followed the analysis of field data, except that the site
effect and interactions were not included in the models. Log transformations
were used for N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and mineral nitrogen (top 5 cm soil samples) and in
addition, two outliers were excluded from the mineral nitrogen data due to
exceptionally high values in comparison to the other 13 observations in the
control mesocosms.</p>
      <p>For all the parametric models, REML (restricted maximum likelihood) was used
as the estimation method, degrees of freedom were calculated by the
Kenward–Roger method (Kenward and Roger, 1997), and model assumptions were
checked using appropriate graphs. The models were fitted using the MIXED
procedure of SAS 9.2 (SAS Institute Inc., Cary, NC, USA) and pairwise
comparisons were performed using two-sided <inline-formula><mml:math display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>-type tests.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Results</title>
<sec id="Ch1.S3.SS1">
  <title>Field measurements</title>
      <p>In the field, the N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions were significantly higher
in the midden than non-midden areas (Table 1; Fig. 1a, b). The overall (all
repeated measurements included) model-based mean estimates of N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O fluxes
were 0.23 (95 % CI 0.18–0.27) and 0.13 (0.09–0.17) <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g N
chamber area<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> h<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> for the midden and non-midden areas,
respectively. The corresponding figures for CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> were 1754 (1568–1941)
and 1201 (1015–1388) <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> chamber area<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> h<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>,
respectively. Based on these estimates, the chamber area with one midden
produced on average 43 % more N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and 32 % more CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> than an
equivalent non-midden area. N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions varied among the
dates (Fig. 1a, b; Table 1), but this variation was apparently not explained
by soil moisture or temperature, which fluctuated little among the dates
(min–max 37.2–38.3 % and 6.5–8.5 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, respectively). The
CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> fluxes differed between the midden and non-midden areas at two
measurement dates, but the effects were specific to the measurement site
(Table 1), i.e. the flux was higher in the midden than non-midden areas in
site B at the first measurement (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn>14.1</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo></mml:mrow></mml:math></inline-formula>4.02, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.001), but lower in
site A at the fourth measurement (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn>12.4</mml:mn></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 2.44, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.031; Fig. 1c,
d). The model-based mean estimates of cumulative emissions were significantly
higher in the midden than non-midden areas for N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
(<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mn>7.34</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 16.91, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.004; <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mn>7.66</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 43.80,
<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.001, respectively), but not for CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>
(<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mn>7.74</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 3.24, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.111) (Table 2). The removal of middens and
other residues from the soil surface had no effect on N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
emissions in either the midden or non-midden areas (Table 3; Fig. 1a, b). For
CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>, the removal decreased the flux in site A (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn>9.1</mml:mn></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 2.86,
<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.019), but not in site B (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn>7.87</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo></mml:mrow></mml:math></inline-formula>0.65, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.532), and no
difference was found between the responses of midden and non-midden areas
(Table 3, Fig. 1c, d).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1"><caption><p>Fixed effect (treatment and site) <inline-formula><mml:math display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> values of general linear mixed
models with repeated measurements (date) for N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, 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
CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> emissions in the field and laboratory measurements. Treatment is
“midden area vs. non-midden area” in the field and “<italic>L. terrestris</italic> vs. control” in the
laboratory mesocosms.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.80}[.80]?><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <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:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Model term</oasis:entry>  
         <oasis:entry colname="col3">N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O</oasis:entry>  
         <oasis:entry colname="col4">CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Field</oasis:entry>  
         <oasis:entry colname="col2">Site</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">0.008</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Treatment</oasis:entry>  
         <oasis:entry colname="col3">&lt; 0.001</oasis:entry>  
         <oasis:entry colname="col4">&lt; 0.001</oasis:entry>  
         <oasis:entry colname="col5">0.043</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Treatment <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> site</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">0.072</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Date</oasis:entry>  
         <oasis:entry colname="col3">0.004</oasis:entry>  
         <oasis:entry colname="col4">&lt; 0.001</oasis:entry>  
         <oasis:entry colname="col5">0.029</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Site <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> date</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4">&lt; 0.001</oasis:entry>  
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Treatment <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> date</oasis:entry>  
         <oasis:entry colname="col3">0.289</oasis:entry>  
         <oasis:entry colname="col4">0.588</oasis:entry>  
         <oasis:entry colname="col5">&lt; 0.001</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Treatment <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> site <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> date</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">0.007</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Laboratory</oasis:entry>  
         <oasis:entry colname="col2">Treatment</oasis:entry>  
         <oasis:entry colname="col3">&lt; 0.0001</oasis:entry>  
         <oasis:entry colname="col4">&lt; 0.0001</oasis:entry>  
         <oasis:entry colname="col5">0.482</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Date</oasis:entry>  
         <oasis:entry colname="col3">&lt; 0.0001</oasis:entry>  
         <oasis:entry colname="col4">&lt; 0.0001</oasis:entry>  
         <oasis:entry colname="col5">0.144</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Treatment <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> date</oasis:entry>  
         <oasis:entry colname="col3">0.159</oasis:entry>  
         <oasis:entry colname="col4">0.401</oasis:entry>  
         <oasis:entry colname="col5">0.039</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

      <p>The number of earthworms was 125 % and their biomass 150 % higher in
the midden than in the non-midden areas (Table 4). However, only in four
midden and two non-midden areas, a large (&gt; 0.8 g) <italic>L. terrestris</italic> was found and the majority of earthworms were juveniles. In the
midden areas, 18 % of individuals belonged to <italic>Lumbricus</italic>,
51 % to <italic>Aporrectodea</italic> and 31 % remained unidentified. In the
non-midden areas, the corresponding figures were 16, 58 and 26 %,
respectively. The soil surrounding the burrow entrance (within 5 cm
diameter) was on average 1 % unit moister, contained 23 % more
mineral N and had 20 % higher potential denitrification than the topsoil
of the non-midden areas (Table 4), but the denitrification potential of the
midden and non-midden straw did not differ (2.7 vs. 2.8
 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O–N g<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> straw d.m. h<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>, respectively). The
mineral N content of the straw was 28 and 69 mg kg<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> straw d.m. in the
midden and non-midden areas, respectively, while the midden areas had more
straw litter on the soil surface (visual observation). In total, 31 slugs
(<italic>Arion fasciatus</italic> N.) were found from the midden areas after the
final gas measurement, while only three were found from the non-midden areas
(Table 4). In the midden areas, 77 % of the slugs were found in the
midden, 23 % in the soil beneath the midden.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><caption><p>The mean (<inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>SE) estimates of statistical models for <bold>(a)</bold> N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <bold>(b)</bold> 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 <bold>(c, d)</bold> CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> (separately for field sites A and
B) emissions in <italic>L. terrestris</italic> midden (<inline-formula><mml:math display="inline"><mml:mo>•</mml:mo></mml:math></inline-formula>) and non-midden (<inline-formula><mml:math display="inline"><mml:mo>∘</mml:mo></mml:math></inline-formula>) areas and the effect of the
removal of middens and surface residues on the emissions. For CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>, the
differences between the midden and non-midden areas at <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.05 are
marked with <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> (for effects on N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, see Table 1).</p></caption>
          <?xmltex \igopts{width=184.942913pt}?><graphic xlink:href="https://bg.copernicus.org/articles/12/5481/2015/bg-12-5481-2015-f01.pdf"/>

        </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2"><caption><p>The mean estimates (SE) of statistical models for cumulative
N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, 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 CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> fluxes in the field (duration 2 weeks) and
laboratory (15 weeks) measurements.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.70}[.70]?><oasis:tgroup cols="4">
     <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:thead>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O</oasis:entry>  
         <oasis:entry colname="col3">CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g N chamber area<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></oasis:entry>  
         <oasis:entry colname="col3">mg chamber area<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></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g chamber area<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></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Field:</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Midden area</oasis:entry>  
         <oasis:entry colname="col2">74.2 (5.1)</oasis:entry>  
         <oasis:entry colname="col3">591.4 (28.4)</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.6 (1.1)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Non-midden area</oasis:entry>  
         <oasis:entry colname="col2">47.6 (5.1)</oasis:entry>  
         <oasis:entry colname="col3">394.4 (28.4)</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.8 (1.1)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Laboratory:</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><italic>L. terrestris</italic></oasis:entry>  
         <oasis:entry colname="col2">111.3 (7.1)</oasis:entry>  
         <oasis:entry colname="col3">3224 (157)</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>230.7 (9.2)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Control</oasis:entry>  
         <oasis:entry colname="col2">90.3 (6.2)</oasis:entry>  
         <oasis:entry colname="col3">2729 (152)</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>224.7 (8.1)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S3.SS2">
  <title>Laboratory experiment</title>
      <p>In the laboratory, N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions were significantly higher
with than without <italic>L. terrestris</italic> (Table 1; Fig. 2a, b). The
model-based mean estimates (with all repeated measurements included) of
N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions with and without <italic>L. terrestris</italic> were 0.060
(95 % CI 0.053–0.067) and 0.044 (0.039–0.049) <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g N chamber
base area<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> h<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>. The corresponding figures for CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> flux were
1769 (1600–1937) and 1536 (1367–1704) <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> chamber base
area<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> h<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>, respectively. Based on these values, one <italic>L. terrestris</italic> individual increased the mesocosm emission of N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and
CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> by 27 and 13 %, respectively. On average, the fluxes of N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O
and CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> decreased in the course of the experiment (Fig. 2a, b). The
CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> flux fluctuated during the experiment without a clear trend
(Table 1b, Fig. 2c) and, only at day 98, the emission rate differed between
the treatments, being then higher with than without <italic>L. terrestris</italic>
(<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn>171</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo></mml:mrow></mml:math></inline-formula>2.12, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.035). The model-based mean estimates of the
cumulative emissions were significantly higher with than without <italic>L. terrestris</italic> for N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mn>12.9</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 5.09, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.042;
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mn>9.65</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 29.21, <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.001, respectively), but not for
CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mn>11.5</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.33, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.579) (Table 2).</p>
      <p>The removal of middens and straw residues from the soil surface affected the
N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions, but not the CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> emissions (Table 3; Fig. 2a–c). The N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions increased after the removal in all
mesocosms, whereas the response of CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> flux depended on the treatment:
the removal increased CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions in the presence (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn>26</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo></mml:mrow></mml:math></inline-formula>3.36, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.002), but had no effect in the absence of <italic>L. terrestris</italic> (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn>26</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo></mml:mrow></mml:math></inline-formula>0.64,
<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.525).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3"><caption><p>Fixed effect (site and treatment) <inline-formula><mml:math display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> values of general linear mixed
models with repeated measurements (midden and residue removal) for N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O,
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 CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> emissions in the field and laboratory measurements.
Treatment is “midden area vs. non-midden area” in the field and “<italic>L. terrestris</italic> vs.
control” in the laboratory mesocosms.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.85}[.85]?><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <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:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Model term</oasis:entry>  
         <oasis:entry colname="col3">N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O</oasis:entry>  
         <oasis:entry colname="col4">CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Field</oasis:entry>  
         <oasis:entry colname="col2">Site</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">0.007</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Treatment</oasis:entry>  
         <oasis:entry colname="col3">0.012</oasis:entry>  
         <oasis:entry colname="col4">0.009</oasis:entry>  
         <oasis:entry colname="col5">0.015</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Treatment <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> site</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">0.080</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Removal</oasis:entry>  
         <oasis:entry colname="col3">0.401</oasis:entry>  
         <oasis:entry colname="col4">0.980</oasis:entry>  
         <oasis:entry colname="col5">0.139</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Site <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> removal</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">0.034</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Treatment <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> removal</oasis:entry>  
         <oasis:entry colname="col3">0.845</oasis:entry>  
         <oasis:entry colname="col4">0.338</oasis:entry>  
         <oasis:entry colname="col5">0.176</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Treatment <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> site <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> removal</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">0.894</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Laboratory</oasis:entry>  
         <oasis:entry colname="col2">Treatment</oasis:entry>  
         <oasis:entry colname="col3">0.083</oasis:entry>  
         <oasis:entry colname="col4">0.002</oasis:entry>  
         <oasis:entry colname="col5">0.886</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Removal</oasis:entry>  
         <oasis:entry colname="col3">0.004</oasis:entry>  
         <oasis:entry colname="col4">0.008</oasis:entry>  
         <oasis:entry colname="col5">0.440</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Treatment <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> removal</oasis:entry>  
         <oasis:entry colname="col3">0.449</oasis:entry>  
         <oasis:entry colname="col4">0.054</oasis:entry>  
         <oasis:entry colname="col5">0.317</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

      <p>At the end of the experiment, mesocosms with <italic>L. terrestris</italic> had less
straw litter on the soil surface (visual observation) and 4 % more
mineral N in the 0–43 cm soil column (excluding the soil core collected
around the burrow) than the mesocosms without <italic>L. terrestris</italic>
(Table 5). In all except two mesocosms the resident worm had created a burrow
that reached the bottom of the soil column. The soil that surrounded the
<italic>L. terrestris</italic> burrow entrance (diameter 5 cm) was 0.3 % unit
moister, contained 16 % more mineral N and had a 17 % greater
potential denitrification rate than the topsoil of the control treatment
(Table 5). The potential denitrification of the straw collected from
<italic>L. terrestris</italic> and control mesocosms was 0.24 and 0.19  <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g
N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O–N g<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> straw d.m. h<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> and its mineral N content 664 and
122 mg kg<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> d.m., respectively.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p>The mean estimates (<inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>SE) of statistical models for <bold>(a)</bold> N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <bold>(b)</bold> 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 <bold>(c)</bold> CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> emissions in
<italic>L. terrestris</italic> (<inline-formula><mml:math display="inline"><mml:mo>•</mml:mo></mml:math></inline-formula>) and control (<inline-formula><mml:math display="inline"><mml:mo>∘</mml:mo></mml:math></inline-formula>)
mesocosms and the effect of the removal of middens and surface residues on
the emissions. For CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>, the differences between treatments at
<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.1 are marked with <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> (for effects on N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, see
Table 1).</p></caption>
          <?xmltex \igopts{width=184.942913pt}?><graphic xlink:href="https://bg.copernicus.org/articles/12/5481/2015/bg-12-5481-2015-f02.pdf"/>

        </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T4" specific-use="star"><caption><p>Characteristics of <italic>L. terrestris</italic> midden (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 10) and
adjacent non-midden (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 10) areas at the end of the field measurements
(model-based mean estimates with 95 % confidence intervals presented for
all other variables except for the slug <italic>Arion fasciatus</italic>, which has
medians with a minimum and maximum). <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>-statistics show the
statistical significance of the difference between the midden and non-midden
areas (for slugs the values are from the non-parametric Wilcoxon signed rank
test).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <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="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Midden area</oasis:entry>  
         <oasis:entry colname="col3">Non-midden area</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mrow><mml:mi>d</mml:mi><mml:mi>f</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Earthworm number<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">3.6 (2.6–4.6)</oasis:entry>  
         <oasis:entry colname="col3">1.6 (0.6–2.6)</oasis:entry>  
         <oasis:entry colname="col4">1, 8</oasis:entry>  
         <oasis:entry colname="col5">8.51</oasis:entry>  
         <oasis:entry colname="col6">0.019</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Earthworm mass (g f.w.)<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">2.0 (1.4–2.7)</oasis:entry>  
         <oasis:entry colname="col3">0.8 (0.1–1.5)</oasis:entry>  
         <oasis:entry colname="col4">1, 16</oasis:entry>  
         <oasis:entry colname="col5">7.81</oasis:entry>  
         <oasis:entry colname="col6">0.013</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Slug  number<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">3.0 (0, 6)</oasis:entry>  
         <oasis:entry colname="col3">0 (0, 1)</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">22.5</oasis:entry>  
         <oasis:entry colname="col6">0.004</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Soil moisture (% of f.w.)<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">26.5 (25.8–27.2)</oasis:entry>  
         <oasis:entry colname="col3">25.4 (24.8–26.1)</oasis:entry>  
         <oasis:entry colname="col4">1, 8</oasis:entry>  
         <oasis:entry colname="col5">7.66</oasis:entry>  
         <oasis:entry colname="col6">0.024</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Mineral N (mg kg<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> soil d.w.)<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">9.2 (7.9–10.5)</oasis:entry>  
         <oasis:entry colname="col3">7.1 (5.7–8.4)</oasis:entry>  
         <oasis:entry colname="col4">1,8</oasis:entry>  
         <oasis:entry colname="col5">8.24</oasis:entry>  
         <oasis:entry colname="col6">0.021</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Potential denitrification</oasis:entry>  
         <oasis:entry colname="col2">1.2 (1.1–1.4)</oasis:entry>  
         <oasis:entry colname="col3">1.0 (0.9–1.2)</oasis:entry>  
         <oasis:entry colname="col4">1,8</oasis:entry>  
         <oasis:entry colname="col5">4.16</oasis:entry>  
         <oasis:entry colname="col6">0.076</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">(<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O–N g<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> soil d.w. h<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>)<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> Sample covers the chamber base area (diameter
15 cm). <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> Soil core (depth 5 cm, diameter 5 cm) in the midden
area taken around the <italic>L. terrestris</italic> burrow entrance.</p></table-wrap-foot></table-wrap>

      <p>Two of the 15 <italic>L. terrestris</italic> individuals had died and the remaining
13 had lost on average 1.0 g or 22 % weight during the 15-week
experiment. When incubated in glass flasks at the end of the experiment, the
mean emission rate of one <italic>L. terrestris</italic> individual (mean fresh mass
3.6 g, min 3.1 g and max 4.2 g) was 0.006 (SE
0.001) <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O–N, 425 (41) <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g 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
<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.001 (0.002) <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> h<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>. Mean emissions per unit
fresh mass (min, max) for the three gases were 0.06 (0.03, 0.12), 2678 (1501,
4197) and <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.03 (<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.19, 0.12) nmol gas g<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> f.w. h<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>,
respectively. Based on these values, the proportion emitted by <italic>L. terrestris</italic> of the total N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, 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 CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> fluxes at the last
gas measurement was 16, 36 and 0.7 %, respectively.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <title>Discussion</title>
      <p>In agreement with our first hypothesis, field N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions
were greater in <italic>L. terrestris</italic> midden than non-midden areas. CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>
fluxes were variable without a clear effect, but there was a slight
indication that the presence of <italic>L. terrestris</italic> decreased the CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>
oxidation rate of the soil. Against our second hypothesis, the removal of
middens and residues from the soil surface did not decrease N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and
CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions. This indicates that the effect of <italic>L. terrestris</italic>
on GHG emissions results from changes in soil conditions at its living site,
not from the surface midden. Following our third hypothesis, most of the
investigated biological, chemical and physical soil variables differed
between the midden and non-midden areas, telling of the significance of
<italic>L. terrestris</italic> as an ecosystem engineer in arable fields. The fact
that we found an equally positive effect of <italic>L. terrestris</italic> on
N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions in the laboratory further indicates that the
observed effects in the field cannot be purely explained by confounding
factors such as the burrows acting as a chimney for gas emissions from a
larger area than the chamber, the worms selecting sites of high microbial
activity, or <italic>L. terrestris</italic> affecting the emissions of the adjacent
control area by collecting straw from it. However, the magnitude of the
effect was significantly smaller in the laboratory than in the field, i.e. a
27 % vs. 43 % increase for N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and 13 % vs. 32 %
increase for CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. It also appeared that the laboratory test could not
fully simulate the role of <italic>L. terrestris</italic> middens in gas emissions as
the removal of middens increased the emissions. These results underline the
value of comparing the measurements in the laboratory to those in natural
field sites with established earthworm populations.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T5" specific-use="star"><caption><p>Characteristics of <italic>L. terrestris</italic> (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 13) and control
mesocosms (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 15) at the end of the laboratory experiment (model-based
mean estimates and 95 % confidence intervals presented for all
variables). <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>-statistics show the statistical significance of the
difference between the <italic>L. terrestris</italic> and control mesocosms.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <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="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"><italic>L. terrestris</italic></oasis:entry>  
         <oasis:entry colname="col3">Control</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mrow><mml:mi>d</mml:mi><mml:mi>f</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Mineral N (mg kg<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> soil d.w.)<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">21.9 (20.9–23.0)</oasis:entry>  
         <oasis:entry colname="col3">21.0 (20.0–21.9)</oasis:entry>  
         <oasis:entry colname="col4">1, 12.3</oasis:entry>  
         <oasis:entry colname="col5">8.71</oasis:entry>  
         <oasis:entry colname="col6">0.012</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Soil moisture (% of f.w.)<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">20.7 (20.6–20.8)</oasis:entry>  
         <oasis:entry colname="col3">20.4 (20.3–20.5)</oasis:entry>  
         <oasis:entry colname="col4">1, 14.1</oasis:entry>  
         <oasis:entry colname="col5">13.46</oasis:entry>  
         <oasis:entry colname="col6">0.003</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Mineral N (mg kg<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> soil d.w.)<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">23.1 (21.0–25.4)</oasis:entry>  
         <oasis:entry colname="col3">19.3 (17.6–21.2)</oasis:entry>  
         <oasis:entry colname="col4">1, 24</oasis:entry>  
         <oasis:entry colname="col5">7.74</oasis:entry>  
         <oasis:entry colname="col6">0.010</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Potential denitrification</oasis:entry>  
         <oasis:entry colname="col2">0.30 (0.27–0.32)</oasis:entry>  
         <oasis:entry colname="col3">0.25 (0.23–0.27)</oasis:entry>  
         <oasis:entry colname="col4">1, 26</oasis:entry>  
         <oasis:entry colname="col5">10.55</oasis:entry>  
         <oasis:entry colname="col6">0.003</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">(<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O–N g<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> soil d.w. h<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>)<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> Sample represents the entire soil column (excluding
the soil core). <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> Soil core (depth 5 cm, diameter 5 cm) in the
<italic>L. terrestris</italic> mesocosm taken around the burrow entrance.</p></table-wrap-foot></table-wrap>

      <p>Our results show that <italic>L. terrestris</italic> can create sites of elevated
N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions in arable no-till soils: in the field, the cumulative
N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions were 36 % higher in the midden than non-midden areas
and, in the laboratory, 19 % higher in mesocosms with than without
<italic>L. terrestris</italic>. These results are in good agreement with earlier
laboratory studies (e.g. Matthies et al., 1999; Giannopoulos et al., 2010),
but also with field studies, such as the study by Borken et al. (2000), which
reported a 57 % increase in N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions in beech forest mesocosms
due to <italic>L. terrestris</italic>. The recent meta-analysis of laboratory studies
by Lubbers et al. (2013a) also suggested a 42 % increase in soil N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O
emissions in the presence of earthworms. Few opposite findings exist (e.g.
Speratti and Whalen, 2008), although some studies suggest that the
contribution of earthworms to N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions could be transient (Amador
and Avizinis, 2013; Lubbers et al., 2013b). In general, the contribution of
earthworms to GHG emissions is composed of direct and indirect emissions.
Direct emissions originate from earthworm metabolism and indirect from those
changes the earthworms induce in their environment. Living earthworms have
been found to emit N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O (Drake et al., 2006; Karsten and Drake, 1997) and
our incubation measurements support these findings (Table 6). The reported
values of direct N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions emitted by <italic>L. terrestris</italic> vary
from 0.05 to 0.95 nmol N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O–N g<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> f.w. h<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> (Matthies et
al., 1999; Horn et al., 2006; Wüst et al., 2009), so our value,
0.06 nmol of N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O–N g<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> f.w. h<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>, is at the lower end of
this range.</p>
      <p>Although the direct N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions have been quantified in many studies,
there are few estimations of their proportion of total emissions. In our
laboratory experiment, the proportion emitted by <italic>L. terrestris</italic> of
the total N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O flux was on average 16 %, which is in good agreement
with that reported by Karsten and Drake (1997) for beech forest soil
(16 %), but significantly higher than their value for oak–beech forest
soil (0.25 %). Our estimate is high and it may overestimate the
proportion in the field because the time interval <italic>L. terrestris</italic> was
able to shape the soil was short in our laboratory trial. In the field, the
soil is subjected to a long-term earthworm impact and it is likely that this
leads to a greater contribution of indirect emissions from the environment.
It should also be noted that part of the N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O produced by the earthworms
may be reduced to N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> while diffusing from the soil to the atmosphere and
the significance of direct emissions may also for this reason in the field be
lower than estimated based on laboratory measurements. Consequently, it is
likely that the enhanced N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions in the presence of <italic>L. terrestris</italic> are also due to the changes in topsoil conditions and creation of
hot spots of high biological activity, including the elevated macrofaunal
densities, in the vicinity of the middens. For instance, the higher content
of mineral nitrogen and soil moisture favour denitrification, which was
manifested as elevated values of potential denitrification in our
measurements. In our field site, soil moisture was nearly 40 %,
corresponding to 80 % WFPS, which is suitable for earthworm N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O
contribution (Evers et al., 2010). Another potential mechanism for increased
N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions in the field are the burrows that may act as large pores
that ease the diffusion of N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O from the bottom soil and allow more of
the N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O ending up in the atmosphere without being reduced to N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>.
The laboratory soil was dryer than the field soil, which could be one reason
for the less noteworthy earthworm effect as soil moisture can significantly
modify the earthworm-induced N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions (Chen et al., 2014).</p>
      <p>The increase in soil cumulative CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions due to the presence of
<italic>L. terrestris</italic> was 33 and 15 % in our field and laboratory
measurements, respectively. These results echo the meta-analysis by Lubbers
et al. (2013a), which suggests a 33 % increase in soil CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions
in the presence of earthworms. When we estimated the respiration of
individual earthworms in the laboratory, the mean CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emission
(425 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g h<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 almost double the mean difference between
the mesocosms with and without <italic>L. terrestris</italic> (230 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g
chamber area h<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> and the proportion of the total CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> flux
explained by earthworm respiration was 36 %. These values suggest that
the increased emissions of CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> from the soils occupied by <italic>L. terrestris</italic> were fully explainable by the respiration of the animal itself.
If this is true in general, the discrepancy between the observations of
increased CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions vs. increased carbon stability (Lubbers et al.,
2013a) would be explained by earthworm respiration counteracting the enhanced
carbon sequestration. However, this conclusion has to be treated cautiously
as we do not know how well the measurements of earthworm respiration in the
laboratory represent the respiration in the field. In the field, the elevated
slug densities of the middens also likely contributed to increased CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
emissions as snail castings and mucus have been observed to increase the
efflux from leaf litter (Theenhaus and Scheu, 1996). Snail activity
accelerates N cycling, too (Theenhaus and Scheu, 1996), but we are not aware
of any studies of snail impacts on N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions.</p>
      <p>Unlike the effects on N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> fluxes, the effects of <italic>L. terrestris</italic> on
CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> flux were variable and mostly inconsequential and there was only a
slight indication in the cumulative field fluxes that the presence of <italic>L. terrestris</italic> might
decrease soil CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> oxidation rate. Such a decrease could be a
consequence of increased moisture and N content in the vicinity of middens
(Hütsch, 2001). Small and varying earthworm effects on net CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>
fluxes have also been reported earlier (Borken et al., 2000; Aira et al.,
2009; Bradley et al., 2012), and our estimate of 0.7 % <italic>L. terrestris</italic> contribution to
the total CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> flux is in good agreement with the earlier statement that
<italic>L. terrestris</italic> is not a source of CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> (Šustr and Šimek 2009). As CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>
fluxes are also in general non-significant in the context of carbon cycling
in boreal arable soils (Regina et al., 2007), it appears that the effects of
earthworms on the GWP of these soils are driven by their effects on N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O
and CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions.</p>
      <p>Recent studies suggest that Finnish no-till fields are characterized by both
high population densities of <italic>L. terrestris</italic> (Nuutinen et al., 2011)
and elevated N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions (Sheehy et al., 2013). Higher N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O
emissions are usually explained by denser soil structure and higher soil
moisture compared to tilled soils. Our results suggest that increased
population densities of <italic>L. terrestris</italic> can also contribute to the
elevated N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions. We found on average 20 <italic>L. terrestris</italic>
middens per m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> in our no-till field and when compared to a square metre
of equal field with no middens, such a density would increase the N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O
emissions by 27 % (estimated using mean values of midden and non-midden
areas). Although this estimate has to be treated with caution as the
non-midden areas were not completely out of the reach of <italic>L. terrestris</italic> activity, it appears that enhanced earthworm activity may explain
a substantial part of the 60–150 % increase in N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions
observed in Finnish no-till fields (Sheehy et al., 2013). Moreover, when all
three gases were considered together, <italic>L. terrestris</italic> increased the
GWP of the soil by 50 and 18 % in our field and laboratory
investigations, respectively. These values, and particularly the field
estimate, exceed the 16 % mean increase in the net GWP of laboratory
soils reported by Lubbers et al. (2013a) in their meta-analysis based on 33
observations from individual earthworm studies that reported the cumulative
emissions of both N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. However, the temporal variation in
emissions is probably high, mainly due to soil moisture variation. For
example, in a field study by Lubbers et al. (2013b), earthworms increased
N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions of managed grassland in the autumn when the WFPS of soil
was 61–65 %, but had no effect in the dry spring when the WFPS was
16–25 %. Our field experiment represents the conditions that prevail for
approximately 3 months in the autumn when <italic>L. terrestris</italic> is highly
active and it is possible that during other seasons, the gas emissions are
less affected by the species. Moreover, the field estimate may exaggerate the
earthworm effect as part of the straw in the non-midden areas and was likely
transferred and consumed in the midden area. In contrast to what we expected,
the contributions of earthworm-induced N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions to the
net increase in GWP were 6 and 94 % in the field and 2 and 98 % in
the laboratory, respectively. This indicates that the elevated N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O
actually has a minor significance in the total balance despite its high GWP
value.</p>
      <p>One of our aims was to test whether the earthworm effects on GHG emissions
that are found in laboratory trials can be generalized to field conditions.
For this purpose, we established a mesocosm experiment using soil and
<italic>L. terrestris</italic> individuals collected from the field site. The
mesocosms had generally higher 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 lower N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emission rates
than the field soil, which probably was due to soil sieving increasing the
availability of microbial resources and microbial respiration (Hartley et
al., 2007) and drier mesocosm soil supporting lower N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O production.
Unlike in the field, the flux rates also steadily decreased in the
laboratory, which probably indicates diminishing resource availability after
the initial resource pulse (Hartley et al., 2007). Despite these differences
in the level and dynamics of the flux rates, a clear, positive effect of
<italic>L. terrestris</italic> on N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions was found in both
systems. The magnitude of the <italic>L. terrestris</italic> effect was smaller in
the laboratory, which could be related to soil moisture and the loss of
earthworm weight over the experiment, but also to the significantly elevated
faunal abundance and activity in the long-lived <italic>L. terrestris</italic> living
sites in the field. The size of the effect on CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions also
decreased in the laboratory as the experiment proceeded. Such a decrease is
common in laboratory studies (Borken et al., 2000; Lubbers et al., 2013a) and
is most probably related to the lack of fresh plant input to the soil, which
has a negative impact on <italic>L. terrestris</italic> metabolism. The distinct
difference between the field and laboratory emissions in their response to
the removal of middens and residues from the soil surface can possibly be
explained by the lack of air current in laboratory conditions, which may have
led to GHG accumulation in the soil pores and release of gases when the
midden and straw were removed. All these findings suggest that while the
general influence of <italic>L. terrestris</italic> on GHG emissions can be
approximated in laboratory conditions, field measurements are needed for more
accurate estimates and proper mechanistic understanding.</p>
      <p>To conclude, our study contributes to filling the gap of field studies of the
effects of earthworms on GHG emissions, particularly in soils long occupied
by earthworms (Lubbers et al., 2013a). Our results emphasize the significance
of <italic>L. terrestris</italic> in the gas balance of agricultural soils, and
especially in no-till fields. We showed that <italic>L. terrestris</italic>
respiration can explain the observed increase in CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions in the
presence of earthworms and that a substantial part of the increase of
N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions in no-till arable lands can be explained by earthworm
contribution. The gap of knowledge that still remains after our study is that
the effects of earthworms have almost solely been studied in the absence of
plants and without considering plant growth. As the effects of earthworms on
plant growth are generally positive (van Groenigen et al., 2014), the
disservice of increased N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions may be counteracted by enhanced
plant growth to the degree that no increase in yield-scaled emissions results
(Wu et al., 2015). Extrapolation from our results to field scale may not be
simple either as the effect of midden density on GHG production is not
necessarily linear due to resource competition among earthworm individuals.
However, considering that field soils with active <italic>L. terrestris</italic>
middens had 50 % higher global warming potential than non-midden areas,
it is clear that <italic>L. terrestris</italic>, and potentially other earthworm
species as well, are among the key players that need to be taken into
consideration when the role of agricultural soils and cultivation practises
are evaluated for climate change mitigation. All in all, our study points out
how studies on the effects of conservation practices are necessary to fully
understand their effects on the environment.</p>
</sec>

      
      </body>
    <back><ack><title>Acknowledgements</title><p>We thank Mirva Céder, Leena Seppänen, Kirsikka Sillanpää,
Ari Seppänen and Taisto Sirén for their help in field and laboratory
work, Timo Rouhiainen for the kind permission to carry out the field work on
his land and two anonymous referees for helpful comments. M. Nieminen
gratefully acknowledges a personal grant from the Kone Foundation. The study
was conducted as a part of the VILMA and ZERO-TILMA projects of MTT Agrifood
Research Finland. <?xmltex \hack{\newline}?><?xmltex \hack{\newline}?> Edited by: X. Wang</p></ack><ref-list>
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