<?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 Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/bg-14-5753-2017</article-id><title-group><article-title>Nitrous oxide emissions from a peatbog after 13 years of experimental nitrogen deposition</article-title>
      </title-group><?xmltex \runningtitle{N deposition and peatbog N${}_{{2}}$O emissions}?><?xmltex \runningauthor{S.~R.~Leeson et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Leeson</surname><given-names>Sarah R.</given-names></name>
          <email>sarle@ceh.ac.uk</email>
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Levy</surname><given-names>Peter E.</given-names></name>
          <email>plevy@ceh.ac.uk</email>
        <ext-link>https://orcid.org/0000-0002-8505-1901</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>van Dijk</surname><given-names>Netty</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Drewer</surname><given-names>Julia</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-6263-6341</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Robinson</surname><given-names>Sophie</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Jones</surname><given-names>Matthew R.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Kentisbeer</surname><given-names>John</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Washbourne</surname><given-names>Ian</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Sutton</surname><given-names>Mark A.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Sheppard</surname><given-names>Lucy J.</given-names></name>
          
        </contrib>
        <aff id="aff1"><institution>Centre of Ecology and Hydrology, Edinburgh, UK</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Peter E. Levy (plevy@ceh.ac.uk) and Sarah R. Leeson
(sarle@ceh.ac.uk)</corresp></author-notes><pub-date><day>21</day><month>December</month><year>2017</year></pub-date>
      
      <volume>14</volume>
      <issue>24</issue>
      <fpage>5753</fpage><lpage>5764</lpage>
      <history>
        <date date-type="received"><day>1</day><month>March</month><year>2016</year></date>
           <date date-type="rev-request"><day>24</day><month>March</month><year>2016</year></date>
           <date date-type="rev-recd"><day>13</day><month>October</month><year>2016</year></date>
           <date date-type="accepted"><day>25</day><month>October</month><year>2016</year></date>
      </history>
      <permissions>
        
        
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 3.0 Unported License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/3.0/">https://creativecommons.org/licenses/by/3.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://bg.copernicus.org/articles/14/5753/2017/bg-14-5753-2017.html">This article is available from https://bg.copernicus.org/articles/14/5753/2017/bg-14-5753-2017.html</self-uri><self-uri xlink:href="https://bg.copernicus.org/articles/14/5753/2017/bg-14-5753-2017.pdf">The full text article is available as a PDF file from https://bg.copernicus.org/articles/14/5753/2017/bg-14-5753-2017.pdf</self-uri>
      <abstract>
    <p id="d1e159">Nitrogen deposition was experimentally increased on a Scottish peatbog over
a period of 13 years (2002–2015). Nitrogen was applied in three forms,
NH<inline-formula><mml:math id="M1" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> gas, NH<inline-formula><mml:math id="M2" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>Cl solution, and NaNO<inline-formula><mml:math id="M3" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> solution, at rates ranging from
8 (ambient) to 64 kg N ha<inline-formula><mml:math id="M4" 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> yr<inline-formula><mml:math id="M5" 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 higher near the NH<inline-formula><mml:math id="M6" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
fumigation source. An automated system was used to apply the nitrogen, such
that the deposition was realistic in terms of rates and high frequency of
deposition events. We measured the response of nitrous oxide (N<inline-formula><mml:math id="M7" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O) flux to
the increased nitrogen input. Prior expectations, based on the IPCC default
emission factor, were that 1 % of the added nitrogen would be emitted as
N<inline-formula><mml:math id="M8" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O. In the plots treated with NH<inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and NO<inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> solution, no response
was seen, and there was a tendency for N<inline-formula><mml:math id="M11" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O fluxes to be reduced by
additional nitrogen, though this was not significant. Areas subjected to high
NH<inline-formula><mml:math id="M12" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emitted more N<inline-formula><mml:math id="M13" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O than expected, up to 8.5 % of the added nitrogen.
Differences in the response are related to the impact of the nitrogen
treatments on the vegetation. In the NH<inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and NO<inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> treatments, all
the additional nitrogen is effectively immobilised in the vegetation and top
10 cm of peat. In the NH<inline-formula><mml:math id="M16" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> treatment, much of the vegetation was killed off
by high doses of NH<inline-formula><mml:math id="M17" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, and the nitrogen was presumably more available to
denitrifying bacteria. The design of the wet and dry experimental treatments
meant that they differed in statistical power, and we are less likely to
detect an effect of the NH<inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and NO<inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> treatments, though they
avoid issues of pseudo-replication.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

      <?xmltex \hack{\newpage}?>
<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p id="d1e369">Since the industrial revolution, peatlands have been subject to
increased deposition of anthropogenic nitrogen (N), as a result of fossil
fuel burning and agricultural use <xref ref-type="bibr" rid="bib1.bibx10" id="paren.1"/>. The overall
consequences of enhanced N deposition in ombrotrophic peatbogs are poorly
understood, but bogs are likely to be sensitive to enhanced N inputs, because
they are adapted to conditions of very low N availability
<xref ref-type="bibr" rid="bib1.bibx1" id="paren.2"/>. When N deposition exceeds plant demand, the additional N
may be used by soil microbes, and can result in the production of the
greenhouse gas nitrous oxide (N<inline-formula><mml:math id="M20" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O) via nitrification and denitrification
<xref ref-type="bibr" rid="bib1.bibx30 bib1.bibx1 bib1.bibx40" id="paren.3"/>. Of the total N applied to
agricultural land and arising from livestock waste which is subsequently
deposited on semi-natural land, it estimated that 1 % is re-emitted as
N<inline-formula><mml:math id="M21" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O <xref ref-type="bibr" rid="bib1.bibx8" id="paren.4"/>. This so-called “indirect” emission of N<inline-formula><mml:math id="M22" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O is
a large, but uncertain, term in the national inventory of greenhouse gas
emissions. There have been relatively few experimental attempts to determine
these emissions on peatbogs, and most information comes from
Fenno-Scandinavian bogs <xref ref-type="bibr" rid="bib1.bibx31 bib1.bibx27 bib1.bibx24" id="paren.5"/>.</p>
      <p id="d1e415">N deposition may lead to changes to peatbog ecosystems which influence the
emission of N<inline-formula><mml:math id="M23" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O in complex ways, particularly via soil chemistry and
vegetation composition <xref ref-type="bibr" rid="bib1.bibx41 bib1.bibx18" id="paren.6"/>. For example, N
deposition may affect soil pH, which affects the composition of the microbial
community <xref ref-type="bibr" rid="bib1.bibx26" id="paren.7"/>, and affects the relative prevalence of the
biochemical pathways by which denitrification produces N<inline-formula><mml:math id="M24" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> or N<inline-formula><mml:math id="M25" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O
<xref ref-type="bibr" rid="bib1.bibx41" id="paren.8"/>. Sphagnum mosses can immobilise a significant
proportion of the incoming N deposition <xref ref-type="bibr" rid="bib1.bibx7" id="paren.9"/>. If
sphagnum cover is reduced as a result of N deposition
<xref ref-type="bibr" rid="bib1.bibx1" id="paren.10"/>, more N may become available to denitrifying microbes,
and result in greater emissions of N<inline-formula><mml:math id="M26" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O <xref ref-type="bibr" rid="bib1.bibx19" id="paren.11"/>. The effects may
also depend on the form of deposited N, whether reduced N (NH<inline-formula><mml:math id="M27" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>) coming
predominantly from animal waste, or oxidised N (NO<inline-formula><mml:math id="M28" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>) coming from energy
combustion, and whether deposited as a gas (NH<inline-formula><mml:math id="M29" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) or in rainfall (NH<inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
or NO<inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>).</p>
      <p id="d1e525">This paper reports measurements of N<inline-formula><mml:math id="M32" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions, as part of a long-term
experiment in which additional N has been deposited on a peatbog in central
Scotland, for over 13 years, in three different forms (as NH<inline-formula><mml:math id="M33" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> gas, as
NH<inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> solution or NO<inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> solution). The automated experiment was
designed to provide realistic N deposition, in terms of doses, frequency
(<inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> spray events yr<inline-formula><mml:math id="M37" 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 exposure concentrations, reflecting the
pollution climate experienced in the UK. Ambient N inputs at the site are
low, so that the responses should be representative of the more pristine
northern European peatbogs. Previous results from the experiment have
demonstrated that high doses of NH<inline-formula><mml:math id="M38" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> reduces the cover of several plant
species, but that the effects of NH<inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and NO<inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> on vegetation
composition and cover are not large
<xref ref-type="bibr" rid="bib1.bibx36 bib1.bibx37 bib1.bibx39" id="paren.12"/>. Here, we examine the effects
of the dose and form of N deposition on emissions of N<inline-formula><mml:math id="M41" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O. Preliminary
data
on N<inline-formula><mml:math id="M42" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O fluxes were reported by <xref ref-type="bibr" rid="bib1.bibx38" id="text.13"/>, showing an increase
with NH<inline-formula><mml:math id="M43" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, but no effect of NH<inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and NO<inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>. Here, we analyse an
additional 5 years of data collected at a wider range of locations, and with
further time for any treatment effects to accumulate. The aims were to
investigate (i) the extent to which N<inline-formula><mml:math id="M46" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions are stimulated by N
deposition, and whether the 1 % emission factor used in IPCC inventories
is accurate, (ii) whether the form of N deposition is important, and
(iii) whether other changes induced by N deposition (e.g. on soil chemistry
or vegetation) have an indirect effect on N<inline-formula><mml:math id="M47" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions.</p>
</sec>
<sec id="Ch1.S2">
  <title>Materials and methods</title>
<sec id="Ch1.S2.SS1">
  <title>Field site</title>
      <p id="d1e714">Whim bog in the Scottish Borders (3<inline-formula><mml:math id="M48" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>16<inline-formula><mml:math id="M49" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> W, 55<inline-formula><mml:math id="M50" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>46<inline-formula><mml:math id="M51" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> N) represents
a transition between a lowland raised bog and blanket bog, on 3–6 m of deep
peat. Mean temperatures of the air and soil (at 10 cm depth) were 8.6
and 7.7 <inline-formula><mml:math id="M52" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C respectively (2003–2009 means). The annual rainfall was
1092 mm (734–1462 mm range). On average, the water table was 10 cm below
the surface of the peat in the hollows, i.e. relatively wet for most of the
year. Hummocks were typically 20 cm higher than the hollows. The peat was
very acidic, with pH 3.4 (3.27–3.91 in water). The vegetation was classified
as a <italic>Calluna vulgaris–Eriophorum vaginatum</italic> blanket mire community
(M19 in the UK National Vegetation Classification, Rodwell, 1998). Replicate plots were highly variable and dominated by unmanaged
<italic>Calluna</italic> of variable age and stature occurring as mosaics containing
<italic>Calluna vulgaris</italic> and <italic>Sphagnum capillifolium</italic> hummocks and
hollows containing <italic>S. fallax</italic> and <italic>S. papillosum</italic>. Other
common species included <italic>Erica tetralix</italic> and the mosses <italic>Hypnum jutlandicum</italic> and <italic>Pleurozium schreberi</italic>.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <title>Experimental Treatments</title>
      <p id="d1e797">Nitrogen was applied to the site using two different treatment systems, for
dry deposition of NH<inline-formula><mml:math id="M53" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> gas, and wet deposition of NH<inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and NO<inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> in
solution. Treatments commenced in June 2002 and continued all year round,
except when temperatures were near freezing.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><caption><p id="d1e835">Spatial distribution of N deposition in the Whim experiment. The
ammonia release system was located at the centre of the boardwalk structure
in the middle of the image. Ammonia deposition was calculated from
concentration measurements downwind of the ammonia source using the method of
<xref ref-type="bibr" rid="bib1.bibx2" id="text.14"/>, and interpolated across the central rectangular area of the
image using ordinary kriging. In the wet deposition plots (circles in the
lower part of the image), the nitrogen solution applied was sprayed evenly
across the whole 12.8 m<inline-formula><mml:math id="M56" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> plot. North is at the top of the image.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://bg.copernicus.org/articles/14/5753/2017/bg-14-5753-2017-f01.pdf"/>

        </fig>

      <p id="d1e856">NH<inline-formula><mml:math id="M57" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> deposition was manipulated using a free-air release system
<xref ref-type="bibr" rid="bib1.bibx20" id="paren.15"/>. NH<inline-formula><mml:math id="M58" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was supplied from a cylinder of pure liquid NH<inline-formula><mml:math id="M59" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>,
diluted with ambient air and released from a perforated 10 m long pipe, 1 m
off the ground. NH<inline-formula><mml:math id="M60" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was released only when the wind direction was in the
south-west, between 180 and 215<inline-formula><mml:math id="M61" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, temperatures exceeded freezing, and
wind speed exceeded 2.5 m s<inline-formula><mml:math id="M62" 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>. This produced a sector downwind wherein
NH<inline-formula><mml:math id="M63" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> decreased with distance from the fumigation source. NH<inline-formula><mml:math id="M64" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
concentrations were measured 0.1 m above the vegetation using passive ALPHA
samplers <xref ref-type="bibr" rid="bib1.bibx42" id="paren.16"/> at 8, 12, 16, 20, 24, 32, 48, and 60 m from the
source along the transect. A detailed profile was measured to capture the
concentration gradients both vertically and horizontally <xref ref-type="bibr" rid="bib1.bibx20" id="paren.17"/>.
Ammonia deposition was calculated from the concentration measurements, using
the method of <xref ref-type="bibr" rid="bib1.bibx2" id="text.18"/>. The deposition at these locations was
interpolated using ordinary kriging, as shown in
Fig. <xref ref-type="fig" rid="Ch1.F1"/>, assuming the deposition velocity was
spatially homogeneous.</p>
      <p id="d1e950">Wet deposition of NH<inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and NO<inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> was experimentally increased in a
number of replicated plots in a randomised block design, using a water
sprayer system <xref ref-type="bibr" rid="bib1.bibx35" id="paren.19"/>. Concentrated solutions of either
NH<inline-formula><mml:math id="M67" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>Cl or NaNO<inline-formula><mml:math id="M68" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> were diluted in rainwater and transferred to each plot
via 100 m lengths of 16 mm pipe. Each pipe terminated in a central sprayer
with a 360<inline-formula><mml:math id="M69" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> spinning disc that distributed the solution uniformly over
the 12.8 m<inline-formula><mml:math id="M70" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> plot. The volume of solution applied to each plot was
monitored using a water meter on each supply line. Three treatment levels
were applied, aiming to provide total N deposition rates of 16, 32, and
64 kg N ha<inline-formula><mml:math id="M71" 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> yr<inline-formula><mml:math id="M72" 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>, in addition to a control treatment which only received
ambient N deposition (8 kg N ha<inline-formula><mml:math id="M73" 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> yr<inline-formula><mml:math id="M74" 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 three treatment levels
were achieved by applying either NH<inline-formula><mml:math id="M75" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>Cl or NaNO<inline-formula><mml:math id="M76" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> solution at
concentrations of 0.57, 1.71, or 4.0 mM. Wet treatments increased
precipitation amounts by ca. 10 %. Control plots receive the additional
rainwater without any additional nitrogen. There were four blocks, with one
treatment level in each, to give a total of 28 plots. The sprayer system was
automatically triggered every 15 min (so long as there was sufficient
rainwater in the collection tank) air temperature was above 0 <inline-formula><mml:math id="M77" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, and
wind speed was above 5 m s<inline-formula><mml:math id="M78" 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>. This produced a realistic pattern of high
frequency, extensive nitrogen deposition, with ca. 120 applications per year.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><caption><p id="d1e1108">Daily mean nitrogen deposition rates in the NH<inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and NO<inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
treatments and at 16 m downwind on the NH<inline-formula><mml:math id="M81" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> transect. NH<inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and
NO<inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> deposition was calculated from the duration of spraying events each
day, multiplied by the NH<inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and NO<inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration in the solution,
and accounting for the area covered by the spray. NH<inline-formula><mml:math id="M86" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> deposition was
calculated from the duration of fumigation events each day, measurements of
NH<inline-formula><mml:math id="M87" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration, and meteorological data, using the method of
<xref ref-type="bibr" rid="bib1.bibx2" id="text.20"/>. </p></caption>
          <?xmltex \igopts{width=378.421654pt}?><graphic xlink:href="https://bg.copernicus.org/articles/14/5753/2017/bg-14-5753-2017-f02.pdf"/>

        </fig>

      <p id="d1e1220">Soil water samples were extracted from dipwells in all plots at the same time
as gas flux measurements were made. Concentrations of soil water NH<inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and
NO<inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> were measured by ion chromatography following filtration. The
detection limits were 0.014 and 0.062 mg L<inline-formula><mml:math id="M90" 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 NH<inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>-N and
NO<inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>-N, respectively. The percent cover of each vegetation species was
recorded within each chamber location every few years.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <title>Greenhouse gas exchange</title>
      <p id="d1e1289">Nitrous oxide fluxes were measured by the static chamber method
<xref ref-type="bibr" rid="bib1.bibx16" id="paren.21"/>, typically on a monthly basis. Cylindrical PVC collars
(38 cm in diameter and typically 25 cm high) were inserted into the peat
within each plot.</p>
      <p id="d1e1295">On each sampling occasion, a lid was sealed on top, and left in place for
30–40 min. Four 20 mL samples were removed by syringe through a 3-way tap
or rubber septum, stored in vials or Tedlar bags, and analysed on a gas
chromatograph (5890 series II, Hewlett Packard), together with replicates of
three or four standard gases with known concentrations. For each sequence of
gas samples from a chamber, the flux was calculated as:
            <disp-formula id="Ch1.E1" content-type="numbered"><mml:math id="M93" display="block"><mml:mrow><mml:mi>F</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>⋅</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi>V</mml:mi></mml:mrow><mml:mi>A</mml:mi></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M94" display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula> is gas flux from the soil (<inline-formula><mml:math id="M95" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol m<inline-formula><mml:math id="M96" 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> s<inline-formula><mml:math id="M97" 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 id="M98" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>C</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the initial rate of change in concentration
with time in <inline-formula><mml:math id="M99" display="inline"><mml:mi mathvariant="italic">μ</mml:mi></mml:math></inline-formula>mol mol<inline-formula><mml:math id="M100" 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> s<inline-formula><mml:math id="M101" 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 id="M102" display="inline"><mml:mi mathvariant="italic">ρ</mml:mi></mml:math></inline-formula> is the density of air
in mol m<inline-formula><mml:math id="M103" 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 id="M104" display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula> is the volume of the chamber in m<inline-formula><mml:math id="M105" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula>,
and <inline-formula><mml:math id="M106" display="inline"><mml:mi>A</mml:mi></mml:math></inline-formula> is the ground area enclosed by the chamber in m<inline-formula><mml:math id="M107" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>.</p>
      <p id="d1e1477">The parameter <inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>C</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was calculated using linear and
non-linear asymptotic regression methods <xref ref-type="bibr" rid="bib1.bibx22" id="paren.22"/>. Using a mixture of
goodness-of-fit statistics and visual inspection, the regression method that
provided the best fit for the time series of concentration was chosen for
each individual measurement. With this method of flux calculation, any
non-linearity should be accounted for as far as possible. However, the time
resolution (approximately 10 min) limits the detectable degree of
non-linearity in the initial concentration change, so there remains some
potential for underestimation of fluxes <xref ref-type="bibr" rid="bib1.bibx5" id="paren.23"/>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><caption><p id="d1e1507">Response of N<inline-formula><mml:math id="M109" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O flux to deposition of NH<inline-formula><mml:math id="M110" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, NH<inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, NO<inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>,
and total N deposition. Error bars show the 95 % confidence interval,
based on the regression slope for each flux measurement. Solid lines show
the fitted response from the general additive mixed model. Dotted lines show
the emission predicted with the IPCC default emission factor, as 1 % of
the deposited N.</p></caption>
          <?xmltex \igopts{width=327.206693pt}?><graphic xlink:href="https://bg.copernicus.org/articles/14/5753/2017/bg-14-5753-2017-f03.pdf"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS4">
  <title>Statistical analysis</title>
      <p id="d1e1564">The data were first analysed using a linear mixed-effects model
<xref ref-type="bibr" rid="bib1.bibx29" id="paren.24"/>. There were 729 flux measurements in total, after
removing four outlying measurements above 10 nmol m<inline-formula><mml:math id="M113" 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> s<inline-formula><mml:math id="M114" 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
two below <inline-formula><mml:math id="M115" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2 nmol m<inline-formula><mml:math id="M116" 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> s<inline-formula><mml:math id="M117" 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>. We fitted fixed-effect terms for
soil temperature, <inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">soil</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, water table height, <inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">water</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
(negative values indicate depth below the surface), ammonia-N deposition
rate, <inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">N</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, ammonium-N deposition rate, <inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">N</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>,
and nitrate-N deposition rate, <inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant="normal">N</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, and random-effect terms
with a design matrix <inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Z</mml:mi><mml:mrow><mml:mi mathvariant="normal">i</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> to account for the repeated measures
on each chamber location, <italic>j</italic>, nested within each experimental block,
<italic>i</italic>:

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M124" display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">ij</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mi mathvariant="normal">soil</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">ij</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mrow><mml:mi mathvariant="normal">water</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">ij</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:mi mathvariant="normal">ij</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:mi mathvariant="normal">ij</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:mi mathvariant="normal">ij</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>b</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="normal">Z</mml:mi><mml:mrow><mml:mi mathvariant="normal">i</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mo>+</mml:mo><mml:msub><mml:mi>b</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="normal">Z</mml:mi><mml:mi mathvariant="normal">ij</mml:mi></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:mrow></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E2"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>b</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>∼</mml:mo><mml:mi>N</mml:mi><mml:mfenced open="(" close=")"><mml:mn mathvariant="normal">0</mml:mn><mml:mo>,</mml:mo><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">1</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mfenced><mml:msub><mml:mi>b</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>∼</mml:mo><mml:mi>N</mml:mi><mml:mfenced close=")" open="("><mml:mn mathvariant="normal">0</mml:mn><mml:mo>,</mml:mo><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mfenced><mml:msub><mml:mi mathvariant="italic">ϵ</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>∼</mml:mo><mml:mi>N</mml:mi><mml:mfenced open="(" close=")"><mml:mn mathvariant="normal">0</mml:mn><mml:mo>,</mml:mo><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mfenced><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula></p>
      <p id="d1e2005">The data were also analysed using a general additive mixed-effects model
<xref ref-type="bibr" rid="bib1.bibx43" id="paren.25"/>, with the same fixed- and random effect terms, but allowing
for non-linearity in the fixed-effect responses. To analyse the relationship
between N<inline-formula><mml:math id="M125" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O flux and vegetation species composition, we used a
multivariate approach, partial least squares regression
<xref ref-type="bibr" rid="bib1.bibx25" id="paren.26"><named-content content-type="pre">PLS,</named-content></xref>. The approach is an extension of principal
components analysis (PCA), but whereas PCA focuses on the variance in a
matrix of variables,
<inline-formula><mml:math id="M126" display="inline"><mml:mi mathvariant="bold">X</mml:mi></mml:math></inline-formula>, PLS computes the scores and loadings in
such a way to describe the covariance between <inline-formula><mml:math id="M127" display="inline"><mml:mi mathvariant="bold">X</mml:mi></mml:math></inline-formula> and a response
variable or matrix, <inline-formula><mml:math id="M128" display="inline"><mml:mi mathvariant="bold">Y</mml:mi></mml:math></inline-formula>. In this context, we have a matrix
consisting of the percent cover of each plant species in each chamber, and
the response variable is the N<inline-formula><mml:math id="M129" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O flux. PLS should perform better than PCA
in situations where an infrequent species (contributing little to the
variance in <inline-formula><mml:math id="M130" display="inline"><mml:mi mathvariant="bold">X</mml:mi></mml:math></inline-formula>) is highly correlated with <inline-formula><mml:math id="M131" display="inline"><mml:mi mathvariant="bold">Y</mml:mi></mml:math></inline-formula>. In PLS,
such a component would automatically be present in the first component, but
would be a minor component in PCA.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Results</title>
      <p id="d1e2077">Figure <xref ref-type="fig" rid="Ch1.F1"/> shows the spatial distribution of N
deposition in the dry and wet deposition treatments. Deposition of NH<inline-formula><mml:math id="M132" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
peaks at around 100 kg N ha<inline-formula><mml:math id="M133" 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> yr<inline-formula><mml:math id="M134" 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>, just downwind of the fumigation
source. NH<inline-formula><mml:math id="M135" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> deposition decreases with downwind and cross-wind distance
from the fumigation source, and approximates a Gaussian plume pattern
expected from micrometeorological theory. The plume is aligned slightly to
the east of the boardwalk transect, although there is some uncertainty in the
interpolation between NH<inline-formula><mml:math id="M136" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> samplers. Deposition of NH<inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and NO<inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> on
the wet deposition plots are shown on the same colour scale. These are known
with much greater certainty, as no modelling step is required.</p>
      <p id="d1e2158">Figure <xref ref-type="fig" rid="Ch1.F2"/> shows the time
series of nitrogen deposition in the NH<inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and NO<inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> treatments, and on
the NH<inline-formula><mml:math id="M141" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> transect at 16 m, where annual deposition was similar to that in
the NH<inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and NO<inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> treatments. Distribution of deposition events over
time is similar in both treatments. Deposition events were spread over most
days of the year, with no deposition only in a short period in mid-winter.
NH<inline-formula><mml:math id="M144" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> deposition is calculated as a function of stomatal conductance
<xref ref-type="bibr" rid="bib1.bibx2" id="paren.27"/>, so rates are higher in daytime and in the summer.</p>
      <p id="d1e2233">Whilst there is considerable scatter in the response of N<inline-formula><mml:math id="M145" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O fluxes to mean
annual nitrogen deposition, an increase in N<inline-formula><mml:math id="M146" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O flux with NH<inline-formula><mml:math id="M147" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> deposition
was apparent (Fig. <xref ref-type="fig" rid="Ch1.F3"/>). No trend with NH<inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> or
NO<inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> deposition was obvious. In many of the flux measurements, the
magnitude of N<inline-formula><mml:math id="M150" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O fluxes was close to the measurement error in the static
chamber method. In both the NH<inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and NO<inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> treatments, only 9 % of
fluxes (respectively) had 95 % confidence limits which did not include zero.
Detecting a clear response is inevitably difficult when measurement noise
contributes substantially to the variability in the data. By contrast, in the
NH<inline-formula><mml:math id="M153" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> treatment, 40 % of fluxes had confidence limits which did not include
zero.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><caption><p id="d1e2334">Fitted response of N<inline-formula><mml:math id="M154" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O flux to soil temperature, water table
height, and deposition of NH<inline-formula><mml:math id="M155" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, NH<inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, and NO<inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, as estimated by the
general additive mixed model. Partial residuals are shown for the smooth
terms, which are the residuals that would be obtained by dropping the term
concerned from the model, while leaving all other estimates fixed. NH<inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
and NO<inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> were treated as linear terms. Upper and lower lines show 2
standard errors above and below the fitted estimate.</p></caption>
        <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://bg.copernicus.org/articles/14/5753/2017/bg-14-5753-2017-f04.pdf"/>

      </fig>

      <p id="d1e2411">The output from the linear mixed model analysis is  shown in
Table <xref ref-type="table" rid="Ch1.T1"/>, with the coefficients representing the response to the fixed factors.
As well as showing significant responses to temperature and water table depth,
N<inline-formula><mml:math id="M160" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O fluxes responded to NH<inline-formula><mml:math id="M161" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> deposition (Fig. <xref ref-type="fig" rid="Ch1.F3"/>).
This response was greater than the default 1 % IPCC emission factor, and
comes close to 8.5 % (with the appropriate unit conversion).
The relationship may not be linear <xref ref-type="bibr" rid="bib1.bibx28" id="paren.28"/>, and the
general additive mixed model (GAMM) was fitted to allow for non-linearity
in the fixed effects.  However, the exact form of the response to NH<inline-formula><mml:math id="M162" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
deposition was not well constrained by the data, especially at the lower
values, and a simple linear fit was justified (Fig. <xref ref-type="fig" rid="Ch1.F4"/>).
The modelled effect of NH<inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and NO<inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> deposition was slightly negative on
average, although positive and negative slopes are both plausible (Table <xref ref-type="table" rid="Ch1.T1"/>, Fig. <xref ref-type="fig" rid="Ch1.F4"/>).</p>
      <p id="d1e2479">NH<inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations in the soil water were elevated in the high NH<inline-formula><mml:math id="M166" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
deposition treatment, by around 1 mg N dm<inline-formula><mml:math id="M167" 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> on average
(Fig. <xref ref-type="fig" rid="Ch1.F5"/>). By contrast, the high
NO<inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> deposition treatment had no clear effect on NO<inline-formula><mml:math id="M169" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations
in the soil water. On the NH<inline-formula><mml:math id="M170" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> deposition transect, there was a clear trend
in soil water concentrations of both NH<inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and NO<inline-formula><mml:math id="M172" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> with NH<inline-formula><mml:math id="M173" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
deposition (Fig. <xref ref-type="fig" rid="Ch1.F5"/>, right-hand
plots). At the equivalent level of NH<inline-formula><mml:math id="M174" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> deposition, NH<inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations
in the soil water were elevated by a similar amount to that in the high
NH<inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> deposition treatment. There were weak relationships between N<inline-formula><mml:math id="M177" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O
flux and NH<inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and NO<inline-formula><mml:math id="M179" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations in the dry treatment, but no
clear relationship in the wet treatment.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1"><caption><p id="d1e2659">Results of fitting the linear mixed-effects model (Eq. 2) to the
data by maximising the restricted log-likelihood. Columns show the
denominator degrees of freedom, <inline-formula><mml:math id="M180" display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula> values, <inline-formula><mml:math id="M181" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> values from Wald tests for
each term, and the <inline-formula><mml:math id="M182" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula> coefficients in Eq. (2).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <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:tbody>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">DF</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M183" display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula> value</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M184" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value</oasis:entry>  
         <oasis:entry colname="col5">Coefficient</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Intercept</oasis:entry>  
         <oasis:entry colname="col2">392</oasis:entry>  
         <oasis:entry colname="col3">23.90</oasis:entry>  
         <oasis:entry colname="col4">0.000</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M185" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.1664</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M186" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">soil</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">392</oasis:entry>  
         <oasis:entry colname="col3">16.75</oasis:entry>  
         <oasis:entry colname="col4">0.000</oasis:entry>  
         <oasis:entry colname="col5">0.0181</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M187" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">water</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">392</oasis:entry>  
         <oasis:entry colname="col3">22.81</oasis:entry>  
         <oasis:entry colname="col4">0.000</oasis:entry>  
         <oasis:entry colname="col5">0.0528</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">40</oasis:entry>  
         <oasis:entry colname="col3">29.96</oasis:entry>  
         <oasis:entry colname="col4">0.000</oasis:entry>  
         <oasis:entry colname="col5">0.0092</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">40</oasis:entry>  
         <oasis:entry colname="col3">1.27</oasis:entry>  
         <oasis:entry colname="col4">0.267</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M190" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.0046</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M191" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">40</oasis:entry>  
         <oasis:entry colname="col3">1.74</oasis:entry>  
         <oasis:entry colname="col4">0.194</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M192" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.0041</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p id="d1e2917">NH<inline-formula><mml:math id="M193" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and NO<inline-formula><mml:math id="M194" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations in the soil water in the
experimental treatments. In the right-hand plots, colours show measurements
grouped by distances downwind of the fumigation source.</p></caption>
        <?xmltex \igopts{width=321.516142pt}?><graphic xlink:href="https://bg.copernicus.org/articles/14/5753/2017/bg-14-5753-2017-f05.pdf"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><caption><p id="d1e2953">Mean N<inline-formula><mml:math id="M195" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O flux at each chamber location fitted by the PLS model
based on vegetation species composition plotted against observed mean fluxes.
The data are grouped by nitrogen treatment form (symbol shape) and dose
(symbol colour). The solid line shows the 1 : 1 line.</p></caption>
        <?xmltex \igopts{width=349.968898pt}?><graphic xlink:href="https://bg.copernicus.org/articles/14/5753/2017/bg-14-5753-2017-f06.pdf"/>

      </fig>

      <p id="d1e2971">Vegetation composition provided reasonably good explanatory power for N<inline-formula><mml:math id="M196" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O
flux, and the PLS regression explained 56 % of the variance in N<inline-formula><mml:math id="M197" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O flux
(Fig. <xref ref-type="fig" rid="Ch1.F6"/>). The first two components explained
27 % of the variance, and gave an interpretable ordination of the chambers
(Fig. <xref ref-type="fig" rid="Ch1.F7"/>). The chambers high on the first axis were
dominated by <italic>Eriophorum vaginatum</italic>, often damaged by NH<inline-formula><mml:math id="M198" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, with
little or no moss cover, and had high fluxes. The chambers low on the first
axis had high cover of <italic>Sphagnum capillifolium</italic> and low fluxes.
The second axis differentiates hummock and hollow vegetation, and a soil
moisture difference. The drier hummocks with <italic>Calluna vulgaris</italic> and
<italic>Deschampsia flexuosa</italic> had lower fluxes than the hollows.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><caption><p id="d1e3020">Biplot showing the scores for each chamber location for the first
two PLS components. The first two PLS components represent the orthogonal
indices of vegetation species composition which are the best linear
predictors of mean N<inline-formula><mml:math id="M199" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O flux at each chamber location. The loadings for the
important plant species are superimposed, indicating which species contribute
most to the components. The data are grouped by nitrogen treatment form
(symbol shape) and dose (symbol colour); symbol size is proportional to the
magnitude of the mean N<inline-formula><mml:math id="M200" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O flux.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://bg.copernicus.org/articles/14/5753/2017/bg-14-5753-2017-f07.pdf"/>

      </fig>

</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <title>Discussion</title>
      <p id="d1e3054">Our results confirm the early findings of <xref ref-type="bibr" rid="bib1.bibx38" id="text.29"/> that there
was no clear response of N<inline-formula><mml:math id="M201" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O flux to deposition of NH<inline-formula><mml:math id="M202" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> or NO<inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>,
whereas high doses of NH<inline-formula><mml:math id="M204" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> reduced the cover of <italic>Calluna vulgaris</italic>
and <italic>Sphagnum</italic> species, and increased N<inline-formula><mml:math id="M205" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O flux. Other results in
the literature show a range of responses of N<inline-formula><mml:math id="M206" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emission to experimental N
addition, from no response to substantial increases. <xref ref-type="bibr" rid="bib1.bibx24" id="text.30"/> found
no effect of experimental N addition (NH<inline-formula><mml:math id="M207" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>NO<inline-formula><mml:math id="M208" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) on N<inline-formula><mml:math id="M209" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions from
two Swedish bogs, and peak fluxes were less than 1 nmol m<inline-formula><mml:math id="M210" 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> s<inline-formula><mml:math id="M211" 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>,
when 40 kg N ha<inline-formula><mml:math id="M212" 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> yr<inline-formula><mml:math id="M213" 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> was applied in only three relatively
large doses. <xref ref-type="bibr" rid="bib1.bibx27" id="text.31"/> found no response of N<inline-formula><mml:math id="M214" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emission to
additions of up to 100 kg N ha<inline-formula><mml:math id="M215" 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> yr<inline-formula><mml:math id="M216" 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> (NH<inline-formula><mml:math id="M217" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>NO<inline-formula><mml:math id="M218" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) to a
<italic>Sphagnum fuscum</italic> pine bog in Finland, over a 6-year study. Following
nitrate addition to ex situ peat cores from Polish sedge fen,
<xref ref-type="bibr" rid="bib1.bibx33" id="text.32"/> observed no increase in N<inline-formula><mml:math id="M219" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions from cores
from vegetated tussocks or unvegetated hollows, except for an increase of
0.15 nmol m<inline-formula><mml:math id="M220" 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> s<inline-formula><mml:math id="M221" 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> at their low nitrate (KNO<inline-formula><mml:math id="M222" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) addition rate.</p>
      <p id="d1e3310">Some clearer positive responses have been observed where bogs have been
drained, or where very high levels of nitrogen have been applied.
<xref ref-type="bibr" rid="bib1.bibx31" id="text.33"/> found that N<inline-formula><mml:math id="M223" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions were increased by up to 0.8 nmol m<inline-formula><mml:math id="M224" 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> s<inline-formula><mml:math id="M225" 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 around nine months after a single experimental N
addition of 100 kg N ha<inline-formula><mml:math id="M226" 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> yr<inline-formula><mml:math id="M227" 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 a drained and forested peatland in
Finland; KNO<inline-formula><mml:math id="M228" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, NH<inline-formula><mml:math id="M229" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>Cl, and urea gave a similar range of responses.
<xref ref-type="bibr" rid="bib1.bibx44" id="text.34"/> observed an increase of 0.3 nmol m<inline-formula><mml:math id="M230" 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> s<inline-formula><mml:math id="M231" 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> with
the application of 240 kg N ha<inline-formula><mml:math id="M232" 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> yr<inline-formula><mml:math id="M233" 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> (NH<inline-formula><mml:math id="M234" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>NO<inline-formula><mml:math id="M235" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) to a freshwater
marsh in China, bi-weekly over the summer growing season. Clear responses
can, however, be very short-lived. For example, <xref ref-type="bibr" rid="bib1.bibx12 bib1.bibx13" id="text.35"/> found
a short-term response of N<inline-formula><mml:math id="M236" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O efflux to NH<inline-formula><mml:math id="M237" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>NO<inline-formula><mml:math id="M238" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> addition in an
in vivo study of soil from an alpine peatland in Tibet, but
differences from the control lasted less than 10 days.</p>
      <p id="d1e3493">A response of N<inline-formula><mml:math id="M239" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions to nitrogen addition is more often detectable
in laboratory incubations, where there are fewer feedbacks and interactions.
Field studies commonly show complex interactions with other variables,
resulting in no effect in the field, or making interpretation of results
complicated. In a Finnish spruce swamp buffer zone, <xref ref-type="bibr" rid="bib1.bibx34" id="text.36"/> found
that nitrogen addition increased N<inline-formula><mml:math id="M240" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O efflux in laboratory incubations, but
in situ N<inline-formula><mml:math id="M241" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O effluxes were low and unresponsive. <xref ref-type="bibr" rid="bib1.bibx30" id="text.37"/>
found that N<inline-formula><mml:math id="M242" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O fluxes were positively correlated with the numbers of
nitrite oxidisers, nitrification potential, N, P, Ca, and pH of the soil
and negatively correlated with the level of the water table and K content of the soil. In a
study by <xref ref-type="bibr" rid="bib1.bibx40" id="text.38"/> on a restored peatland in Finland, N<inline-formula><mml:math id="M243" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O
emissions showed an asymptotic increase with nitrate concentration, and an
exponential decrease with <italic>E. vaginatum</italic> cover. The interpretation was
that N<inline-formula><mml:math id="M244" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emission was the outcome of resource competition for nitrate
between denitrifying bacteria and (<italic>E. vaginatum</italic>) roots, but both
have limited capacities for uptake of nitrate.</p>
      <p id="d1e3566">We can interpret our results similarly in terms of resource competition for
nitrate. The wet deposition of NO<inline-formula><mml:math id="M245" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> did not increase concentrations of
NO<inline-formula><mml:math id="M246" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> in the soil water. Previous data suggest that all the additional N
deposited on the wet treatment plots accumulated in the top 10 cm of the peat
and below-ground vegetation (based on the accumulation of N in the different
pools shown in <xref ref-type="bibr" rid="bib1.bibx38" id="text.39"/>, Fig. 7, although estimates are rather
uncertain because of sensitivity to errors in bulk density, C and N
concentrations, and sampling error). The deposited nitrogen was thereby
immobilised, and not available to soil microbes, and was not denitrified to
N<inline-formula><mml:math id="M247" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O. The wet deposition of NH<inline-formula><mml:math id="M248" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> did increase concentrations of
NH<inline-formula><mml:math id="M249" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> in the soil water, but NH<inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> is less directly related to the
microbial production of N<inline-formula><mml:math id="M251" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O. In the dry deposition treatment at high
levels of NH<inline-formula><mml:math id="M252" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> deposition, although there was similar accumulation of the
deposited N in the peat, much of the vegetation cover was killed, leaving
only a sparse cover dominated by <italic>E. vaginatum</italic>. The deposited N was
therefore more available to soil microbes because there was less competition
with plants, and could be denitrified to N<inline-formula><mml:math id="M253" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O.</p>
      <p id="d1e3673">One of the difficulties in interpreting these results is that there are
multiple microbial processes occurring (nitrification, denitrification, and
N<inline-formula><mml:math id="M254" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O consumption), but the chamber flux measurements only give the net
exchange of N<inline-formula><mml:math id="M255" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O. The treatments could affect these multiple processes in
different ways, e.g. via their effects on pH (and thereby influencing the
microbial populations), or more directly by altering the amount of substrate
for denitrification. However, without detailed information on the
nitrification and denitrification potentials, it is difficult to draw
stronger conclusions. Some studies have suggested that gross uptake of N<inline-formula><mml:math id="M256" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O
can be substantial, at least in forest soils
<xref ref-type="bibr" rid="bib1.bibx3 bib1.bibx11" id="paren.40"/>. In our study, the negative fluxes are
so small compared to the measurement error, that no real pattern can be
discerned, and this is a common finding in agricultural systems
<xref ref-type="bibr" rid="bib1.bibx6" id="paren.41"/>.</p>
      <p id="d1e3709">The multivariate analysis of the vegetation provided the best means for
explaining the variation in N<inline-formula><mml:math id="M257" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O fluxes. Shifts in the species composition
appeared to be the clearest sign that N deposition was affecting the
long-term outcome of resource competition for nitrate, and thereby
influencing N<inline-formula><mml:math id="M258" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O flux. A similar result was found in a multivariate
analysis of vegetation in relation to methane flux in the UK ecosystems
<xref ref-type="bibr" rid="bib1.bibx23 bib1.bibx14" id="paren.42"/>. Direct relationships between N<inline-formula><mml:math id="M259" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O flux and both
nitrate and ammonium were poor, possibly because these are influenced by
feedback from the flux itself.</p>
      <p id="d1e3742">The unique aspect of the experimental design, in providing a very realistic
simulation of nitrogen deposition rates, in terms of frequency and exposure
concentrations, makes detecting effects more difficult. Unlike measuring
N<inline-formula><mml:math id="M260" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O fluxes on agricultural land, where large peak emissions typically
follow fertiliser applications, here we are measuring small, diffuse N<inline-formula><mml:math id="M261" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O
fluxes spread over the whole year, which is necessarily more difficult.</p>
      <p id="d1e3763">Experimental designs of the wet and dry deposition experiments were quite
different, because of the logistics of applying gases and liquids to
ecosystems. This may partly explain why the effect of NH<inline-formula><mml:math id="M262" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was easier to
detect. NH<inline-formula><mml:math id="M263" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was applied on a larger spatial scale, with very high rates of
deposition adjacent to the fumigation outlet. Implicitly, we assume that
differences with distance are effects of NH<inline-formula><mml:math id="M264" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, as there was no true
replication (i.e. there was only one transect). Given this assumption, we
take <inline-formula><mml:math id="M265" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> to be 60 in the NH<inline-formula><mml:math id="M266" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> experiment. The probability of detecting an
effect size of <inline-formula><mml:math id="M267" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>0.068 nmol m<inline-formula><mml:math id="M268" 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> s<inline-formula><mml:math id="M269" 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 id="M270" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> % of 60 kg N ha<inline-formula><mml:math id="M271" 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> yr<inline-formula><mml:math id="M272" 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 reasonably high (<inline-formula><mml:math id="M273" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M274" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.96), from a standard power analysis
<xref ref-type="bibr" rid="bib1.bibx4" id="paren.43"/>, given the typical measurement error in static chamber data
(and ignoring between-plot variability). In the case of the wet deposition
experiment, there were true replicate plots in a randomised block design, but
sample size was small (4 plots per treatment). The probability of detecting
the same effect size with <inline-formula><mml:math id="M275" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> is rather low (<inline-formula><mml:math id="M276" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M277" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.13).</p>
      <p id="d1e3919">In our experimental results, neither NH<inline-formula><mml:math id="M278" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> nor NO<inline-formula><mml:math id="M279" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> deposition
increased fluxes of N<inline-formula><mml:math id="M280" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O (indeed the mean effect of both was negative), and
all the deposited N appeared to be retained in the peat and below-ground
vegetation. However, we need to be careful before concluding that the true
effect was zero (or negative), given that the effect size we were looking for
was small. An emission factor of 1 % is not inconsistent with the data,
given the between-plot variability, measurement precision and small sample
size. If this were the true emission factor, we can estimate the N<inline-formula><mml:math id="M281" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O
emission resulting from N deposition over peatlands in the UK. Combined
deposition rates of NH<inline-formula><mml:math id="M282" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and NO<inline-formula><mml:math id="M283" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> are generally less than 10 kg N ha<inline-formula><mml:math id="M284" 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> yr<inline-formula><mml:math id="M285" 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 UK peatbogs
<xref ref-type="bibr" rid="bib1.bibx9" id="paren.44"/>. With a 1 % emission
factor, this would imply a mean emission of 11 pmol m<inline-formula><mml:math id="M286" 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> s<inline-formula><mml:math id="M287" 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> or
1.3 g C-CO<inline-formula><mml:math id="M288" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> eq. m<inline-formula><mml:math id="M289" 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 id="M290" 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>. (To express N<inline-formula><mml:math id="M291" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O flux in
units of C-CO<inline-formula><mml:math id="M292" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> equivalents, we convert to a mass of N<inline-formula><mml:math id="M293" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and
multiply by 298 <xref ref-type="bibr" rid="bib1.bibx17" id="paren.45"><named-content content-type="pre">the global warming potential of N<inline-formula><mml:math id="M294" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O over a 100 year
time period including carbon cycle feedbacks,</named-content></xref> and report only
the mass of carbon in the CO<inline-formula><mml:math id="M295" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> equivalents, i.e. 12/44.) This compares with
contemporary net ecosystem carbon balance measurements in the range of
28–50 g C-CO<inline-formula><mml:math id="M296" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> eq. m<inline-formula><mml:math id="M297" 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 id="M298" 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> in UK peatlands
<xref ref-type="bibr" rid="bib1.bibx15 bib1.bibx21" id="paren.46"/>.</p>
      <p id="d1e4161">NH<inline-formula><mml:math id="M299" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> has a different spatial distribution, being deposited much closer to
its sources, so with high “hotspots”, but with lower overall mean
deposition rates (<inline-formula><mml:math id="M300" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> kg N ha<inline-formula><mml:math id="M301" 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> yr<inline-formula><mml:math id="M302" 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>). In the immediate vicinity of a
large agricultural source, high mean emissions of N<inline-formula><mml:math id="M303" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O would be predicted,
in the order of 0.58 nmol m<inline-formula><mml:math id="M304" 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> s<inline-formula><mml:math id="M305" 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> or 65 g C-CO<inline-formula><mml:math id="M306" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> eq.  m<inline-formula><mml:math id="M307" 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 id="M308" 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>
(i.e. 8.5 % of 60 kg N ha<inline-formula><mml:math id="M309" 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> yr<inline-formula><mml:math id="M310" 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>), but over relatively small areas. This approaches the
large values observed by <xref ref-type="bibr" rid="bib1.bibx32" id="text.47"/> in Arctic bare peat circles
(averaging 0.86 nmol m<inline-formula><mml:math id="M311" 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> s<inline-formula><mml:math id="M312" 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> or 97 g C-CO<inline-formula><mml:math id="M313" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> eq.  m<inline-formula><mml:math id="M314" 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 id="M315" 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>), but upscaling these
emissions to national scale is challenging.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability">

      <p id="d1e4364">The dataset used in this article is available at
<ext-link xlink:href="https://doi.org/10.5285/7c1dd26a-5df5-4b90-854b-70d0d97eb78a" ext-link-type="DOI">10.5285/7c1dd26a-5df5-4b90-854b-70d0d97eb78a</ext-link> (Levy and Leeson,
2017).</p>
  </notes><notes notes-type="authorcontribution">

      <p id="d1e4373">LJS and MAS designed the experiment.   SRL, MRJ, and LJS
maintained the experiment.  SRL collected the bulk of the flux data, with additional
data collected by JD, SR, JK, and  IW.  NvD collected vegetation data and analysed
the soil chemistry data.  PEL performed the statistical analysis and wrote the manuscript.</p>
  </notes><notes notes-type="competinginterests">

      <p id="d1e4379">The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e4385">The project was funded by the UK Natural Environment Council GANE
programme, the EU FP6 project NitroEurope, and the EU FP7 project ECLAIRE.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: Xinming Wang<?xmltex \hack{\newline}?>
Reviewed by: Dejun Li and Tim Moore</p></ack><ref-list>
    <title>References</title>

      <ref id="bib1.bibx1"><label>Bobbink et al.(1998)</label><mixed-citation>Bobbink, R., Hornung, M., and Roelofs, J.: The Effects of Air-Borne Nitrogen
Pollutants on Species Diversity in Natural and Semi-Natural European
Vegetation, J. Ecol., 86, 717–738,
<ext-link xlink:href="https://doi.org/10.1046/j.1365-2745.1998.8650717.x" ext-link-type="DOI">10.1046/j.1365-2745.1998.8650717.x</ext-link>, 1998.</mixed-citation></ref>
      <ref id="bib1.bibx2"><label>Cape et al.(2008)</label><mixed-citation>Cape, J., Jones, M., Leith, I., Sheppard, L., van Dijk, N., Sutton, M., and
Fowler, D.: Estimate of Annual NH<inline-formula><mml:math id="M316" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> Dry Deposition to a Fumigated
Ombrotrophic Bog Using Concentration-Dependent Deposition Velocities,
Atmos. Environ., 42, 6637–6646,
<ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2008.04.027" ext-link-type="DOI">10.1016/j.atmosenv.2008.04.027</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bibx3"><label>Chapuis-Lardy et al.(2007)</label><mixed-citation>Chapuis-Lardy, L., Wrage, N., Metay, A., Chotte, J.-L., and Bernoux, M.:
Soils,
a Sink for N<inline-formula><mml:math id="M317" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O? A Review, Glob. Change Biol., 13, 1–17,
<ext-link xlink:href="https://doi.org/10.1111/j.1365-2486.2006.01280.x" ext-link-type="DOI">10.1111/j.1365-2486.2006.01280.x</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bibx4"><label>Cohen(1988)</label><mixed-citation>
Cohen, J.: Statistical Power Analysis for the Behavioral Sciences, L.
Erlbaum
Associates, Hillsdale, N.J.,  400 pp.,  ISBN-13: 978-0-8058-0283-2, 1988.</mixed-citation></ref>
      <ref id="bib1.bibx5"><label>Cowan et al.(2014a)</label><mixed-citation>Cowan, N. J., Famulari, D., Levy, P. E., Anderson, M., Bell, M. J., Rees,
R. M., Reay, D. S., and Skiba, U. M.: An Improved Method for Measuring Soil
N<inline-formula><mml:math id="M318" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O Fluxes Using a Quantum Cascade Laser with a Dynamic Chamber:
Dynamic Chamber Method, Eur. J. Soil Sci., 65, 643–652,
<ext-link xlink:href="https://doi.org/10.1111/ejss.12168" ext-link-type="DOI">10.1111/ejss.12168</ext-link>, 2014a.</mixed-citation></ref>
      <ref id="bib1.bibx6"><label>Cowan et al.(2014b)</label><mixed-citation>Cowan, N. J., Famulari, D., Levy, P. E., Anderson, M., Reay, D. S., and
Skiba, U. M.: Investigating uptake of N<inline-formula><mml:math id="M319" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O in agricultural soils using a
high-precision dynamic chamber method, Atmos. Meas. Tech., 7, 4455–4462,
<ext-link xlink:href="https://doi.org/10.5194/amt-7-4455-2014" ext-link-type="DOI">10.5194/amt-7-4455-2014</ext-link>, 2014b.</mixed-citation></ref>
      <ref id="bib1.bibx7"><label>Curtis et al.(2005)</label><mixed-citation>Curtis, C., Emmett, B., Grant, H., Kernan, M., Reynolds, B., and Shilland,
E.:
Nitrogen Saturation in UK Moorlands: The Critical Role of Bryophytes and
Lichens in Determining Retention of Atmospheric N Deposition, J. Appl. Ecol., 42, 507–517, <ext-link xlink:href="https://doi.org/10.1111/j.1365-2664.2005.01029.x" ext-link-type="DOI">10.1111/j.1365-2664.2005.01029.x</ext-link>, 2005.</mixed-citation></ref>
      <ref id="bib1.bibx8"><label>De Klein(2006)</label><mixed-citation>De Klein, C.: N<inline-formula><mml:math id="M320" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O Emissions from Managed Soils, and CO<inline-formula><mml:math id="M321" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
Emissions
from Lime and Urea Application, in: Volume 4 Agriculture, Forestry
and Other Land Use, vol. 4 of   IPCC Guidelines for National
Greenhouse Gas Inventories, Intergovernmental Panel on Climate Change,
Geneva, 2006.</mixed-citation></ref>
      <ref id="bib1.bibx9"><label>Department for Environment, Food and Rural
Affairs(2016)</label><mixed-citation>Department for Environment, Food and Rural Affairs: UK Deposition Data,
available at: <uri>http://pollutantdeposition.defra.gov.uk/data</uri>, last access: 1 June 2016.</mixed-citation></ref>
      <ref id="bib1.bibx10"><label>Fowler et al.(2005)</label><mixed-citation>Fowler, D., O'Donoghue, M., Muller, J. B. A., Smith, R. I., Dragosits, U.,
Skiba, U., Sutton, M. A., and Brimblecombe, P.: A Chronology of Nitrogen
Deposition in the UK between 1900 and 2000, Water Air  Soil Poll.: Focus, 4, 9–23, <ext-link xlink:href="https://doi.org/10.1007/s11267-005-3009-9" ext-link-type="DOI">10.1007/s11267-005-3009-9</ext-link>, 2005.</mixed-citation></ref>
      <ref id="bib1.bibx11"><label>Frasier et al.(2010)</label><mixed-citation>Frasier, R., Ullah, S., and Moore, T. R.: Nitrous Oxide Consumption
Potentials of Well-Drained Forest Soils in Southern Québec,
Canada, Geomicrobiol. J., 27, 53–60,
<ext-link xlink:href="https://doi.org/10.1080/01490450903232199" ext-link-type="DOI">10.1080/01490450903232199</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bibx12"><label>Gao et al.(2014)</label><mixed-citation>Gao, Y., Chen, H., and Zeng, X.: Effects of Nitrogen and Sulfur Deposition on
CH<inline-formula><mml:math id="M322" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> and N<inline-formula><mml:math id="M323" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O Fluxes in High-Altitude Peatland Soil under Different
Water Tables in the Tibetan Plateau, Soil Sci. Plant Nutr.,
60, 404–410, <ext-link xlink:href="https://doi.org/10.1080/00380768.2014.893812" ext-link-type="DOI">10.1080/00380768.2014.893812</ext-link>,   2014.</mixed-citation></ref>
      <ref id="bib1.bibx13"><label>Gao et al.(2015)</label><mixed-citation>
Gao, Y., Chen, H., Schumann, M., Wu, Y., and Zeng, X.: Short-Term
Responses Of Nitrous Oxide Fluxes To Nitrogen And Phosphorus Addition In A
Peatland On The Tibetan Plateau, Environ. Eng. Manag. J., 14, 121–127,   2015.</mixed-citation></ref>
      <ref id="bib1.bibx14"><label>Gray et al.(2013)</label><mixed-citation>Gray, A., Levy, P. E., Cooper, M. D. A., Jones, T., Gaiawyn, J., Leeson,
S. R.,
Ward, S. E., Dinsmore, K. J., Drewer, J., Sheppard, L. J., Ostle, N. J.,
Evans, C. D., Burden, A., and Zieliński, P.: Methane Indicator Values for
Peatlands: A Comparison of Species and Functional Groups, Glob. Change Biol., 19, 1141–1150, <ext-link xlink:href="https://doi.org/10.1111/gcb.12120" ext-link-type="DOI">10.1111/gcb.12120</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx15"><label>Helfter et al.(2014)</label><mixed-citation>Helfter, C., Campbell, C., Dinsmore, K. J., Drewer, J., Coyle, M., Anderson,
M., Skiba, U., Nemitz, E., Billett, M. F., and Sutton, M. A.: Drivers of
long-term variability in CO<inline-formula><mml:math id="M324" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> net ecosystem exchange in a temperate peatland,
Biogeosciences, 12, 1799–1811, <ext-link xlink:href="https://doi.org/10.5194/bg-12-1799-2015" ext-link-type="DOI">10.5194/bg-12-1799-2015</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx16"><label>Hutchinson and Mosier(1981)</label><mixed-citation>Hutchinson, G. L. and Mosier, A. R.: Improved Soil Cover Method for
Field
Measurement of Nitrous Oxide Fluxes1, Soil Sci. Soc. Am. J., 45, 311, <ext-link xlink:href="https://doi.org/10.2136/sssaj1981.03615995004500020017x" ext-link-type="DOI">10.2136/sssaj1981.03615995004500020017x</ext-link>, 1981.</mixed-citation></ref>
      <ref id="bib1.bibx17"><label>IPCC(2013)</label><mixed-citation>
IPCC: Climate Change 2013: The Physical Science Basis.
Contribution
of Working Group I to the Fifth Assessment Report of the
Intergovernmental Panel on Climate Change, Cambridge University
Press, Cambridge, United Kingdom and New York, NY, USA,    2013.</mixed-citation></ref>
      <ref id="bib1.bibx18"><label>Juutinen et al.(2010)</label><mixed-citation>Juutinen, S., Bubier, J. L., and Moore, T. R.: Responses of Vegetation
and
Ecosystem CO<inline-formula><mml:math id="M325" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> Exchange to 9 Years of Nutrient Addition at Mer
Bleue Bog, Ecosystems, 13, 874–887, <ext-link xlink:href="https://doi.org/10.1007/s10021-010-9361-2" ext-link-type="DOI">10.1007/s10021-010-9361-2</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bibx19"><label>Lamers et al.(2000)</label><mixed-citation>Lamers, L., Bobbink, R., and Roelofs, J.: Natural Nitrogen Filter Fails in
Polluted Raised Bogs, Glob. Change Biol., 6, 583–586,
<ext-link xlink:href="https://doi.org/10.1046/j.1365-2486.2000.00342.x" ext-link-type="DOI">10.1046/j.1365-2486.2000.00342.x</ext-link>, 2000.</mixed-citation></ref>
      <ref id="bib1.bibx20"><label>Leith et al.(2004)</label><mixed-citation>Leith, I. D., Sheppard, L. J., Fowler, D., Cape, J. N., Jones, M., Crossley,
A., Hargreaves, K. J., Tang, Y. S., Theobald, M., and Sutton, M. R.:
Quantifying Dry NH<inline-formula><mml:math id="M326" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> Deposition to an Ombrotrophic Bog from an
Automated NH3 Field Release System, Water, Air, &amp; Soil Poll.: Focus,
4, 207–218, <ext-link xlink:href="https://doi.org/10.1007/s11267-004-3031-3" ext-link-type="DOI">10.1007/s11267-004-3031-3</ext-link>, 2004.</mixed-citation></ref>
      <ref id="bib1.bibx21"><label>Levy and Gray(2015)</label><mixed-citation>Levy, P. E. and Gray, A.: Greenhouse Gas Balance of a Semi-Natural Peatbog in
Northern Scotland, Environ. Res. Lett., 10, 094019,
<ext-link xlink:href="https://doi.org/10.1088/1748-9326/10/9/094019" ext-link-type="DOI">10.1088/1748-9326/10/9/094019</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib1"><label>1</label><mixed-citation>Levy, P. E. and  Leeson, S. R.: Nitrous oxide emissions from Whim
peatbog after thirteen years of experimental nitrogen deposition, Dataset,
<ext-link xlink:href="https://doi.org/10.5285/7c1dd26a-5df5-4b90-854b-70d0d97eb78a" ext-link-type="DOI">10.5285/7c1dd26a-5df5-4b90-854b-70d0d97eb78a</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bibx22"><label>Levy et al.(2011)</label><mixed-citation>Levy, P. E., Gray, A., Leeson, S. R., Gaiawyn, J., Kelly, M. P. C., Cooper,
M.
D. A., Dinsmore, K. J., Jones, S. K., and Sheppard, L. J.: Quantification of
Uncertainty in Trace Gas Fluxes Measured by the Static Chamber Method,
Eur. J. Soil Sci., 62, 811–821,
<ext-link xlink:href="https://doi.org/10.1111/j.1365-2389.2011.01403.x" ext-link-type="DOI">10.1111/j.1365-2389.2011.01403.x</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx23"><label>Levy et al.(2012)</label><mixed-citation>Levy, P. E., Burden, A., Cooper, M. D. A., Dinsmore, K. J., Drewer, J.,
Evans,
C., Fowler, D., Gaiawyn, J., Gray, A., Jones, S. K., Jones, T., McNamara,
N. P., Mills, R., Ostle, N., Sheppard, L. J., Skiba, U., Sowerby, A., Ward,
S. E., and Zieliński, P.: Methane Emissions from Soils: Synthesis and
Analysis of a Large UK Data Set, Glob. Change Biol., 18, 1657–1669,
<ext-link xlink:href="https://doi.org/10.1111/j.1365-2486.2011.02616.x" ext-link-type="DOI">10.1111/j.1365-2486.2011.02616.x</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx24"><label>Lund et al.(2009)</label><mixed-citation>Lund, M., Christensen, T. R., Mastepanov, M., Lindroth, A., and Ström,
L.: Effects of N and P fertilization on the greenhouse gas exchange in two
northern peatlands with contrasting N deposition rates, Biogeosciences, 6,
2135–2144, <ext-link xlink:href="https://doi.org/10.5194/bg-6-2135-2009" ext-link-type="DOI">10.5194/bg-6-2135-2009</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bibx25"><label>Mevik and Wehrens(2007)</label><mixed-citation>
Mevik, B.-H. and Wehrens, R.: The Pls Package: Principal Component and
Partial
Least Squares Regression in R, J. Stat. Softw., 18,
1–24, 2007.</mixed-citation></ref>
      <ref id="bib1.bibx26"><label>Nicol et al.(2008)</label><mixed-citation>Nicol, G. W., Leininger, S., Schleper, C., and Prosser, J. I.: The Influence
of
Soil pH on the Diversity, Abundance and Transcriptional Activity of
Ammonia Oxidizing Archaea and Bacteria, Environmen. Microbiol., 10,
2966–2978, <ext-link xlink:href="https://doi.org/10.1111/j.1462-2920.2008.01701.x" ext-link-type="DOI">10.1111/j.1462-2920.2008.01701.x</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bibx27"><label>Nykanen et al.(2002)</label><mixed-citation>Nykanen, H., Vasander, H., Huttunen, J. T., and Martikainen, P. J.: Effect of
Experimental Nitrogen Load on Methane and Nitrous Oxide Fluxes on
Ombrotrophic Boreal Peatland, Plant Soil, 242, 147–155,
<ext-link xlink:href="https://doi.org/10.1023/A:1019658428402" ext-link-type="DOI">10.1023/A:1019658428402</ext-link>,   2002.</mixed-citation></ref>
      <ref id="bib1.bibx28"><label>Philibert et al.(2012)</label><mixed-citation>Philibert, A., Loyce, C., and Makowski, D.: Quantifying Uncertainties in
N<inline-formula><mml:math id="M327" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O Emission Due to N Fertilizer Application in Cultivated Areas,
PLoS ONE, 7, e50950, <ext-link xlink:href="https://doi.org/10.1371/journal.pone.0050950" ext-link-type="DOI">10.1371/journal.pone.0050950</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx29"><label>Pinheiro and Bates(2006)</label><mixed-citation>
Pinheiro, J. and Bates, D.: Mixed-Effects Models in S and S-PLUS,
Springer Science &amp; Business Media, New York, NY,   528 pp.,
ISBN-13: 978-0-387-98957-0, 2006.</mixed-citation></ref>
      <ref id="bib1.bibx30"><label>Regina et al.(1996)</label><mixed-citation>Regina, K., Nykanen, H., Silvola, J., and Martikainen, P.: Fluxes of Nitrous
Oxide from Boreal Peatlands as Affected by Peatland Type, Water Table Level
and Nitrification Capacity, Biogeochemistry, 35, 401–418,
<ext-link xlink:href="https://doi.org/10.1007/BF02183033" ext-link-type="DOI">10.1007/BF02183033</ext-link>, 1996.</mixed-citation></ref>
      <ref id="bib1.bibx31"><label>Regina et al.(1998)</label><mixed-citation>Regina, K., Nykänen, H., Maljanen, M., Silvola, J., and Martikainen,
P. J.:
Emissions of N<inline-formula><mml:math id="M328" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and NO and Net Nitrogen Mineralization in a Boreal
Forested Peatland Treated with Different Nitrogen Compounds, Can. J. Forest Res., 28, 132–140, <ext-link xlink:href="https://doi.org/10.1139/x97-198" ext-link-type="DOI">10.1139/x97-198</ext-link>, 1998.</mixed-citation></ref>
      <ref id="bib1.bibx32"><label>Repo et al.(2009)</label><mixed-citation>Repo, M. E., Susiluoto, S., Lind, S. E., Jokinen, S., Elsakov, V., Biasi, C.,
Virtanen, T., and Martikainen, P. J.: Large N<inline-formula><mml:math id="M329" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O Emissions from
Cryoturbated Peat Soil in Tundra, Nat. Geosci., 2, 189–192,
<ext-link xlink:href="https://doi.org/10.1038/ngeo434" ext-link-type="DOI">10.1038/ngeo434</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bib2"><label>2</label><mixed-citation>
Rodwell,  J. S.:
British Plant Communities,  Cambridge University Press, Cambridge,
30 pp., 1998.</mixed-citation></ref>
      <ref id="bib1.bibx33"><label>Roobroeck et al.(2010)</label><mixed-citation>Roobroeck, D., Butterbach-Bahl, K., Brüggemann, N., and Boeckx, P.:
Dinitrogen and Nitrous Oxide Exchanges from an Undrained Monolith Fen:
Short-Term Responses Following Nitrate Addition, Eur. J. Soil Sci., 61, 662–670, <ext-link xlink:href="https://doi.org/10.1111/j.1365-2389.2010.01269.x" ext-link-type="DOI">10.1111/j.1365-2389.2010.01269.x</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bibx34"><label>Saari et al.(2013)</label><mixed-citation>Saari, P., Saarnio, S., Heinonen, J., and Alm, J.: Emissions and Dynamics of
N<inline-formula><mml:math id="M330" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O in a Buffer Wetland Receiving Water Flows from a Forested Peatland,
Boreal Environ. Res., 18, 164–180,   2013.</mixed-citation></ref>
      <ref id="bib1.bibx35"><label>Sheppard et al.(2004)</label><mixed-citation>Sheppard, L. J., Crossley, A., Leith, I. D., Hargreaves, K. J., Carfrae,
J. A.,
van Dijk, N., Cape, J. N., Sleep, D., Fowler, D., and Raven, J. A.: An
Automated Wet Deposition System to Compare the Effects of
Reduced and Oxidised N on Ombrotrophic Bog Species: Practical
Considerations, Water, Air, &amp; Soil Poll.: Focus, 4, 197–205,
<ext-link xlink:href="https://doi.org/10.1007/s11267-004-3030-4" ext-link-type="DOI">10.1007/s11267-004-3030-4</ext-link>, 2004.</mixed-citation></ref>
      <ref id="bib1.bibx36"><label>Sheppard et al.(2008)</label><mixed-citation>Sheppard, L. J., Leith, I. D., Crossley, A., Van Dijk, N., Fowler, D.,
Sutton, M. A., and Woods, C.: Stress Responses of Calluna Vulgaris to
Reduced and Oxidised N Applied under `real World Conditions',
Environ. Pollut., 154, 404–413, <ext-link xlink:href="https://doi.org/10.1016/j.envpol.2007.10.040" ext-link-type="DOI">10.1016/j.envpol.2007.10.040</ext-link>,
2008.</mixed-citation></ref>
      <ref id="bib1.bibx37"><label>Sheppard et al.(2011)</label><mixed-citation>Sheppard, L. J., Leith, I. D., Mizunuma, T., Neil Cape, J., Crossley, A.,
Leeson, S., Sutton, M. A., Dijk, N., and Fowler, D.: Dry Deposition of
Ammonia Gas Drives Species Change Faster than Wet Deposition of Ammonium
Ions: Evidence from a Long-Term Field Manipulation, Glob. Change Biol.,
17, 3589–3607, <ext-link xlink:href="https://doi.org/10.1111/j.1365-2486.2011.02478.x" ext-link-type="DOI">10.1111/j.1365-2486.2011.02478.x</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx38"><label>Sheppard et al.(2013)</label><mixed-citation>Sheppard, L. J., Leith, I. D., Leeson, S. R., van Dijk, N., Field, C., and
Levy, P.: Fate of N in a peatland, Whim bog: immobilisation in the vegetation
and peat, leakage into pore water and losses as N<inline-formula><mml:math id="M331" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O depend on the form of
N, Biogeosciences, 10, 149–160, <ext-link xlink:href="https://doi.org/10.5194/bg-10-149-2013" ext-link-type="DOI">10.5194/bg-10-149-2013</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx39"><label>Sheppard et al.(2014)</label><mixed-citation>Sheppard, L. J., Leith, I. D., Mizunuma, T., Leeson, S., Kivimaki, S., Neil
Cape, J., van Dijk, N., Leaver, D., Sutton, M. A., Fowler, D., Van den
Berg, L. J., Crossley, A., Field, C., and Smart, S.: Inertia in an
Ombrotrophic Bog Ecosystem in Response to 9 Years' Realistic Perturbation by
Wet Deposition of Nitrogen, Separated by Form, Glob. Change Biol., 20,
566–580, <ext-link xlink:href="https://doi.org/10.1111/gcb.12357" ext-link-type="DOI">10.1111/gcb.12357</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx40"><label>Silvan et al.(2005)</label><mixed-citation>Silvan, N., Tuittila, E. S., Kitunen, V., Vasander, H., and Laine, J.:
Nitrate
Uptake by Eriophorum Vaginatum Controls N<inline-formula><mml:math id="M332" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O Production in a Restored
Peatland, Soil Biol. Biochem., 37, 1519–1526,
<ext-link xlink:href="https://doi.org/10.1016/j.soilbio.2005.01.006" ext-link-type="DOI">10.1016/j.soilbio.2005.01.006</ext-link>,   2005.</mixed-citation></ref>
      <ref id="bib1.bibx41"><label>Simek and Cooper(2002)</label><mixed-citation>Simek, M. and Cooper, J.: The Influence of Soil pH on Denitrification:
Progress towards the Understanding of This Interaction over the Last 50
Years, Eur. J. Soil Sci., 53, 345–354,
<ext-link xlink:href="https://doi.org/10.1046/j.1365-2389.2002.00461.x" ext-link-type="DOI">10.1046/j.1365-2389.2002.00461.x</ext-link>, 2002.
</mixed-citation></ref><?xmltex \hack{\newpage}?>
      <ref id="bib1.bibx42"><label>Tang et al.(2001)</label><mixed-citation>Tang, Y. S., Cape, J. N., and Sutton, M. A.: Development and Types of
Passive Samplers for Monitoring Atmospheric NO<inline-formula><mml:math id="M333" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and NH<inline-formula><mml:math id="M334" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
Concentrations, The Scientific World Journal, 1, 513–529,
<ext-link xlink:href="https://doi.org/10.1100/tsw.2001.82" ext-link-type="DOI">10.1100/tsw.2001.82</ext-link>, 2001.</mixed-citation></ref>
      <ref id="bib1.bibx43"><label>Wood(2006)</label><mixed-citation>
Wood, S. N.: Generalized Additive Models: An Introduction with R,
Chapman and Hall/CRC, Boca Raton FL,  410 pp.,  ISBN-13: 978-1-5848-8474-3,
2006.</mixed-citation></ref>
      <ref id="bib1.bibx44"><label>Zhang et al.(2007)</label><mixed-citation>Zhang, L., Song, C., Zheng, X., Wang, D., and Wang, Y.: Effects of Nitrogen
on
the Ecosystem Respiration, CH<inline-formula><mml:math id="M335" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> and N<inline-formula><mml:math id="M336" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O Emissions to the Atmosphere
from the Freshwater Marshes in Northeast China, Environmental Geology,
52, 529–539, <ext-link xlink:href="https://doi.org/10.1007/s00254-006-0485-9" ext-link-type="DOI">10.1007/s00254-006-0485-9</ext-link>,   2007.</mixed-citation></ref>

  </ref-list><app-group content-type="float"><app><title/>

    </app></app-group></back>
    <!--<article-title-html>Nitrous oxide emissions from a peatbog after 13 years of experimental nitrogen deposition</article-title-html>
<abstract-html><p class="p">Nitrogen deposition was experimentally increased on a Scottish peatbog over
a period of 13 years (2002–2015). Nitrogen was applied in three forms,
NH<sub>3</sub> gas, NH<sub>4</sub>Cl solution, and NaNO<sub>3</sub> solution, at rates ranging from
8 (ambient) to 64 kg N ha<sup>−1</sup> yr<sup>−1</sup>, and higher near the NH<sub>3</sub>
fumigation source. An automated system was used to apply the nitrogen, such
that the deposition was realistic in terms of rates and high frequency of
deposition events. We measured the response of nitrous oxide (N<sub>2</sub>O) flux to
the increased nitrogen input. Prior expectations, based on the IPCC default
emission factor, were that 1 % of the added nitrogen would be emitted as
N<sub>2</sub>O. In the plots treated with NH<sub>4</sub><sup>+</sup> and NO<sub>3</sub><sup>−</sup> solution, no response
was seen, and there was a tendency for N<sub>2</sub>O fluxes to be reduced by
additional nitrogen, though this was not significant. Areas subjected to high
NH<sub>3</sub> emitted more N<sub>2</sub>O than expected, up to 8.5 % of the added nitrogen.
Differences in the response are related to the impact of the nitrogen
treatments on the vegetation. In the NH<sub>4</sub><sup>+</sup> and NO<sub>3</sub><sup>−</sup> treatments, all
the additional nitrogen is effectively immobilised in the vegetation and top
10 cm of peat. In the NH<sub>3</sub> treatment, much of the vegetation was killed off
by high doses of NH<sub>3</sub>, and the nitrogen was presumably more available to
denitrifying bacteria. The design of the wet and dry experimental treatments
meant that they differed in statistical power, and we are less likely to
detect an effect of the NH<sub>4</sub><sup>+</sup> and NO<sub>3</sub><sup>−</sup> treatments, though they
avoid issues of pseudo-replication.</p></abstract-html>
<ref-html id="bib1.bib1"><label>Bobbink et al.(1998)</label><mixed-citation>
Bobbink, R., Hornung, M., and Roelofs, J.: The Effects of Air-Borne Nitrogen
Pollutants on Species Diversity in Natural and Semi-Natural European
Vegetation, J. Ecol., 86, 717–738,
<a href="https://doi.org/10.1046/j.1365-2745.1998.8650717.x" target="_blank">https://doi.org/10.1046/j.1365-2745.1998.8650717.x</a>, 1998.
</mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>Cape et al.(2008)</label><mixed-citation>
Cape, J., Jones, M., Leith, I., Sheppard, L., van Dijk, N., Sutton, M., and
Fowler, D.: Estimate of Annual NH<sub>3</sub> Dry Deposition to a Fumigated
Ombrotrophic Bog Using Concentration-Dependent Deposition Velocities,
Atmos. Environ., 42, 6637–6646,
<a href="https://doi.org/10.1016/j.atmosenv.2008.04.027" target="_blank">https://doi.org/10.1016/j.atmosenv.2008.04.027</a>, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>Chapuis-Lardy et al.(2007)</label><mixed-citation>
Chapuis-Lardy, L., Wrage, N., Metay, A., Chotte, J.-L., and Bernoux, M.:
Soils,
a Sink for N<sub>2</sub>O? A Review, Glob. Change Biol., 13, 1–17,
<a href="https://doi.org/10.1111/j.1365-2486.2006.01280.x" target="_blank">https://doi.org/10.1111/j.1365-2486.2006.01280.x</a>, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>Cohen(1988)</label><mixed-citation>
Cohen, J.: Statistical Power Analysis for the Behavioral Sciences, L.
Erlbaum
Associates, Hillsdale, N.J.,  400 pp.,  ISBN-13: 978-0-8058-0283-2, 1988.
</mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>Cowan et al.(2014a)</label><mixed-citation>
Cowan, N. J., Famulari, D., Levy, P. E., Anderson, M., Bell, M. J., Rees,
R. M., Reay, D. S., and Skiba, U. M.: An Improved Method for Measuring Soil
N<sub>2</sub>O Fluxes Using a Quantum Cascade Laser with a Dynamic Chamber:
Dynamic Chamber Method, Eur. J. Soil Sci., 65, 643–652,
<a href="https://doi.org/10.1111/ejss.12168" target="_blank">https://doi.org/10.1111/ejss.12168</a>, 2014a.
</mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>Cowan et al.(2014b)</label><mixed-citation>
Cowan, N. J., Famulari, D., Levy, P. E., Anderson, M., Reay, D. S., and
Skiba, U. M.: Investigating uptake of N<sub>2</sub>O in agricultural soils using a
high-precision dynamic chamber method, Atmos. Meas. Tech., 7, 4455–4462,
<a href="https://doi.org/10.5194/amt-7-4455-2014" target="_blank">https://doi.org/10.5194/amt-7-4455-2014</a>, 2014b.
</mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>Curtis et al.(2005)</label><mixed-citation>
Curtis, C., Emmett, B., Grant, H., Kernan, M., Reynolds, B., and Shilland,
E.:
Nitrogen Saturation in UK Moorlands: The Critical Role of Bryophytes and
Lichens in Determining Retention of Atmospheric N Deposition, J. Appl. Ecol., 42, 507–517, <a href="https://doi.org/10.1111/j.1365-2664.2005.01029.x" target="_blank">https://doi.org/10.1111/j.1365-2664.2005.01029.x</a>, 2005.
</mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>De Klein(2006)</label><mixed-citation>
De Klein, C.: N<sub>2</sub>O Emissions from Managed Soils, and CO<sub>2</sub>
Emissions
from Lime and Urea Application, in: Volume 4 Agriculture, Forestry
and Other Land Use, vol. 4 of   IPCC Guidelines for National
Greenhouse Gas Inventories, Intergovernmental Panel on Climate Change,
Geneva, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>Department for Environment, Food and Rural
Affairs(2016)</label><mixed-citation>
Department for Environment, Food and Rural Affairs: UK Deposition Data,
available at: <a href="http://pollutantdeposition.defra.gov.uk/data" target="_blank">http://pollutantdeposition.defra.gov.uk/data</a>, last access: 1 June 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>Fowler et al.(2005)</label><mixed-citation>
Fowler, D., O'Donoghue, M., Muller, J. B. A., Smith, R. I., Dragosits, U.,
Skiba, U., Sutton, M. A., and Brimblecombe, P.: A Chronology of Nitrogen
Deposition in the UK between 1900 and 2000, Water Air  Soil Poll.: Focus, 4, 9–23, <a href="https://doi.org/10.1007/s11267-005-3009-9" target="_blank">https://doi.org/10.1007/s11267-005-3009-9</a>, 2005.
</mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>Frasier et al.(2010)</label><mixed-citation>
Frasier, R., Ullah, S., and Moore, T. R.: Nitrous Oxide Consumption
Potentials of Well-Drained Forest Soils in Southern Québec,
Canada, Geomicrobiol. J., 27, 53–60,
<a href="https://doi.org/10.1080/01490450903232199" target="_blank">https://doi.org/10.1080/01490450903232199</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>Gao et al.(2014)</label><mixed-citation>
Gao, Y., Chen, H., and Zeng, X.: Effects of Nitrogen and Sulfur Deposition on
CH<sub>4</sub> and N<sub>2</sub>O Fluxes in High-Altitude Peatland Soil under Different
Water Tables in the Tibetan Plateau, Soil Sci. Plant Nutr.,
60, 404–410, <a href="https://doi.org/10.1080/00380768.2014.893812" target="_blank">https://doi.org/10.1080/00380768.2014.893812</a>,   2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>Gao et al.(2015)</label><mixed-citation>
Gao, Y., Chen, H., Schumann, M., Wu, Y., and Zeng, X.: Short-Term
Responses Of Nitrous Oxide Fluxes To Nitrogen And Phosphorus Addition In A
Peatland On The Tibetan Plateau, Environ. Eng. Manag. J., 14, 121–127,   2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>Gray et al.(2013)</label><mixed-citation>
Gray, A., Levy, P. E., Cooper, M. D. A., Jones, T., Gaiawyn, J., Leeson,
S. R.,
Ward, S. E., Dinsmore, K. J., Drewer, J., Sheppard, L. J., Ostle, N. J.,
Evans, C. D., Burden, A., and Zieliński, P.: Methane Indicator Values for
Peatlands: A Comparison of Species and Functional Groups, Glob. Change Biol., 19, 1141–1150, <a href="https://doi.org/10.1111/gcb.12120" target="_blank">https://doi.org/10.1111/gcb.12120</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>Helfter et al.(2014)</label><mixed-citation>
Helfter, C., Campbell, C., Dinsmore, K. J., Drewer, J., Coyle, M., Anderson,
M., Skiba, U., Nemitz, E., Billett, M. F., and Sutton, M. A.: Drivers of
long-term variability in CO<sub>2</sub> net ecosystem exchange in a temperate peatland,
Biogeosciences, 12, 1799–1811, <a href="https://doi.org/10.5194/bg-12-1799-2015" target="_blank">https://doi.org/10.5194/bg-12-1799-2015</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>Hutchinson and Mosier(1981)</label><mixed-citation>
Hutchinson, G. L. and Mosier, A. R.: Improved Soil Cover Method for
Field
Measurement of Nitrous Oxide Fluxes1, Soil Sci. Soc. Am. J., 45, 311, <a href="https://doi.org/10.2136/sssaj1981.03615995004500020017x" target="_blank">https://doi.org/10.2136/sssaj1981.03615995004500020017x</a>, 1981.
</mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>IPCC(2013)</label><mixed-citation>
IPCC: Climate Change 2013: The Physical Science Basis.
Contribution
of Working Group I to the Fifth Assessment Report of the
Intergovernmental Panel on Climate Change, Cambridge University
Press, Cambridge, United Kingdom and New York, NY, USA,    2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>Juutinen et al.(2010)</label><mixed-citation>
Juutinen, S., Bubier, J. L., and Moore, T. R.: Responses of Vegetation
and
Ecosystem CO<sub>2</sub> Exchange to 9 Years of Nutrient Addition at Mer
Bleue Bog, Ecosystems, 13, 874–887, <a href="https://doi.org/10.1007/s10021-010-9361-2" target="_blank">https://doi.org/10.1007/s10021-010-9361-2</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>Lamers et al.(2000)</label><mixed-citation>
Lamers, L., Bobbink, R., and Roelofs, J.: Natural Nitrogen Filter Fails in
Polluted Raised Bogs, Glob. Change Biol., 6, 583–586,
<a href="https://doi.org/10.1046/j.1365-2486.2000.00342.x" target="_blank">https://doi.org/10.1046/j.1365-2486.2000.00342.x</a>, 2000.
</mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>Leith et al.(2004)</label><mixed-citation>
Leith, I. D., Sheppard, L. J., Fowler, D., Cape, J. N., Jones, M., Crossley,
A., Hargreaves, K. J., Tang, Y. S., Theobald, M., and Sutton, M. R.:
Quantifying Dry NH<sub>3</sub> Deposition to an Ombrotrophic Bog from an
Automated NH3 Field Release System, Water, Air, &amp; Soil Poll.: Focus,
4, 207–218, <a href="https://doi.org/10.1007/s11267-004-3031-3" target="_blank">https://doi.org/10.1007/s11267-004-3031-3</a>, 2004.
</mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>Levy and Gray(2015)</label><mixed-citation>
Levy, P. E. and Gray, A.: Greenhouse Gas Balance of a Semi-Natural Peatbog in
Northern Scotland, Environ. Res. Lett., 10, 094019,
<a href="https://doi.org/10.1088/1748-9326/10/9/094019" target="_blank">https://doi.org/10.1088/1748-9326/10/9/094019</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>1</label><mixed-citation>
Levy, P. E. and  Leeson, S. R.: Nitrous oxide emissions from Whim
peatbog after thirteen years of experimental nitrogen deposition, Dataset,
<a href="https://doi.org/10.5285/7c1dd26a-5df5-4b90-854b-70d0d97eb78a" target="_blank">https://doi.org/10.5285/7c1dd26a-5df5-4b90-854b-70d0d97eb78a</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>Levy et al.(2011)</label><mixed-citation>
Levy, P. E., Gray, A., Leeson, S. R., Gaiawyn, J., Kelly, M. P. C., Cooper,
M.
D. A., Dinsmore, K. J., Jones, S. K., and Sheppard, L. J.: Quantification of
Uncertainty in Trace Gas Fluxes Measured by the Static Chamber Method,
Eur. J. Soil Sci., 62, 811–821,
<a href="https://doi.org/10.1111/j.1365-2389.2011.01403.x" target="_blank">https://doi.org/10.1111/j.1365-2389.2011.01403.x</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>Levy et al.(2012)</label><mixed-citation>
Levy, P. E., Burden, A., Cooper, M. D. A., Dinsmore, K. J., Drewer, J.,
Evans,
C., Fowler, D., Gaiawyn, J., Gray, A., Jones, S. K., Jones, T., McNamara,
N. P., Mills, R., Ostle, N., Sheppard, L. J., Skiba, U., Sowerby, A., Ward,
S. E., and Zieliński, P.: Methane Emissions from Soils: Synthesis and
Analysis of a Large UK Data Set, Glob. Change Biol., 18, 1657–1669,
<a href="https://doi.org/10.1111/j.1365-2486.2011.02616.x" target="_blank">https://doi.org/10.1111/j.1365-2486.2011.02616.x</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>Lund et al.(2009)</label><mixed-citation>
Lund, M., Christensen, T. R., Mastepanov, M., Lindroth, A., and Ström,
L.: Effects of N and P fertilization on the greenhouse gas exchange in two
northern peatlands with contrasting N deposition rates, Biogeosciences, 6,
2135–2144, <a href="https://doi.org/10.5194/bg-6-2135-2009" target="_blank">https://doi.org/10.5194/bg-6-2135-2009</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>Mevik and Wehrens(2007)</label><mixed-citation>
Mevik, B.-H. and Wehrens, R.: The Pls Package: Principal Component and
Partial
Least Squares Regression in R, J. Stat. Softw., 18,
1–24, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>Nicol et al.(2008)</label><mixed-citation>
Nicol, G. W., Leininger, S., Schleper, C., and Prosser, J. I.: The Influence
of
Soil pH on the Diversity, Abundance and Transcriptional Activity of
Ammonia Oxidizing Archaea and Bacteria, Environmen. Microbiol., 10,
2966–2978, <a href="https://doi.org/10.1111/j.1462-2920.2008.01701.x" target="_blank">https://doi.org/10.1111/j.1462-2920.2008.01701.x</a>, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>Nykanen et al.(2002)</label><mixed-citation>
Nykanen, H., Vasander, H., Huttunen, J. T., and Martikainen, P. J.: Effect of
Experimental Nitrogen Load on Methane and Nitrous Oxide Fluxes on
Ombrotrophic Boreal Peatland, Plant Soil, 242, 147–155,
<a href="https://doi.org/10.1023/A:1019658428402" target="_blank">https://doi.org/10.1023/A:1019658428402</a>,   2002.
</mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>Philibert et al.(2012)</label><mixed-citation>
Philibert, A., Loyce, C., and Makowski, D.: Quantifying Uncertainties in
N<sub>2</sub>O Emission Due to N Fertilizer Application in Cultivated Areas,
PLoS ONE, 7, e50950, <a href="https://doi.org/10.1371/journal.pone.0050950" target="_blank">https://doi.org/10.1371/journal.pone.0050950</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>Pinheiro and Bates(2006)</label><mixed-citation>
Pinheiro, J. and Bates, D.: Mixed-Effects Models in S and S-PLUS,
Springer Science &amp; Business Media, New York, NY,   528 pp.,
ISBN-13: 978-0-387-98957-0, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>Regina et al.(1996)</label><mixed-citation>
Regina, K., Nykanen, H., Silvola, J., and Martikainen, P.: Fluxes of Nitrous
Oxide from Boreal Peatlands as Affected by Peatland Type, Water Table Level
and Nitrification Capacity, Biogeochemistry, 35, 401–418,
<a href="https://doi.org/10.1007/BF02183033" target="_blank">https://doi.org/10.1007/BF02183033</a>, 1996.
</mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>Regina et al.(1998)</label><mixed-citation>
Regina, K., Nykänen, H., Maljanen, M., Silvola, J., and Martikainen,
P. J.:
Emissions of N<sub>2</sub>O and NO and Net Nitrogen Mineralization in a Boreal
Forested Peatland Treated with Different Nitrogen Compounds, Can. J. Forest Res., 28, 132–140, <a href="https://doi.org/10.1139/x97-198" target="_blank">https://doi.org/10.1139/x97-198</a>, 1998.
</mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>Repo et al.(2009)</label><mixed-citation>
Repo, M. E., Susiluoto, S., Lind, S. E., Jokinen, S., Elsakov, V., Biasi, C.,
Virtanen, T., and Martikainen, P. J.: Large N<sub>2</sub>O Emissions from
Cryoturbated Peat Soil in Tundra, Nat. Geosci., 2, 189–192,
<a href="https://doi.org/10.1038/ngeo434" target="_blank">https://doi.org/10.1038/ngeo434</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>2</label><mixed-citation>
Rodwell,  J. S.:
British Plant Communities,  Cambridge University Press, Cambridge,
30 pp., 1998.
</mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>Roobroeck et al.(2010)</label><mixed-citation>
Roobroeck, D., Butterbach-Bahl, K., Brüggemann, N., and Boeckx, P.:
Dinitrogen and Nitrous Oxide Exchanges from an Undrained Monolith Fen:
Short-Term Responses Following Nitrate Addition, Eur. J. Soil Sci., 61, 662–670, <a href="https://doi.org/10.1111/j.1365-2389.2010.01269.x" target="_blank">https://doi.org/10.1111/j.1365-2389.2010.01269.x</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>Saari et al.(2013)</label><mixed-citation>
Saari, P., Saarnio, S., Heinonen, J., and Alm, J.: Emissions and Dynamics of
N<sub>2</sub>O in a Buffer Wetland Receiving Water Flows from a Forested Peatland,
Boreal Environ. Res., 18, 164–180,   2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>Sheppard et al.(2004)</label><mixed-citation>
Sheppard, L. J., Crossley, A., Leith, I. D., Hargreaves, K. J., Carfrae,
J. A.,
van Dijk, N., Cape, J. N., Sleep, D., Fowler, D., and Raven, J. A.: An
Automated Wet Deposition System to Compare the Effects of
Reduced and Oxidised N on Ombrotrophic Bog Species: Practical
Considerations, Water, Air, &amp; Soil Poll.: Focus, 4, 197–205,
<a href="https://doi.org/10.1007/s11267-004-3030-4" target="_blank">https://doi.org/10.1007/s11267-004-3030-4</a>, 2004.
</mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>Sheppard et al.(2008)</label><mixed-citation>
Sheppard, L. J., Leith, I. D., Crossley, A., Van Dijk, N., Fowler, D.,
Sutton, M. A., and Woods, C.: Stress Responses of Calluna Vulgaris to
Reduced and Oxidised N Applied under `real World Conditions',
Environ. Pollut., 154, 404–413, <a href="https://doi.org/10.1016/j.envpol.2007.10.040" target="_blank">https://doi.org/10.1016/j.envpol.2007.10.040</a>,
2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>Sheppard et al.(2011)</label><mixed-citation>
Sheppard, L. J., Leith, I. D., Mizunuma, T., Neil Cape, J., Crossley, A.,
Leeson, S., Sutton, M. A., Dijk, N., and Fowler, D.: Dry Deposition of
Ammonia Gas Drives Species Change Faster than Wet Deposition of Ammonium
Ions: Evidence from a Long-Term Field Manipulation, Glob. Change Biol.,
17, 3589–3607, <a href="https://doi.org/10.1111/j.1365-2486.2011.02478.x" target="_blank">https://doi.org/10.1111/j.1365-2486.2011.02478.x</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib40"><label>Sheppard et al.(2013)</label><mixed-citation>
Sheppard, L. J., Leith, I. D., Leeson, S. R., van Dijk, N., Field, C., and
Levy, P.: Fate of N in a peatland, Whim bog: immobilisation in the vegetation
and peat, leakage into pore water and losses as N<sub>2</sub>O depend on the form of
N, Biogeosciences, 10, 149–160, <a href="https://doi.org/10.5194/bg-10-149-2013" target="_blank">https://doi.org/10.5194/bg-10-149-2013</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib41"><label>Sheppard et al.(2014)</label><mixed-citation>
Sheppard, L. J., Leith, I. D., Mizunuma, T., Leeson, S., Kivimaki, S., Neil
Cape, J., van Dijk, N., Leaver, D., Sutton, M. A., Fowler, D., Van den
Berg, L. J., Crossley, A., Field, C., and Smart, S.: Inertia in an
Ombrotrophic Bog Ecosystem in Response to 9 Years' Realistic Perturbation by
Wet Deposition of Nitrogen, Separated by Form, Glob. Change Biol., 20,
566–580, <a href="https://doi.org/10.1111/gcb.12357" target="_blank">https://doi.org/10.1111/gcb.12357</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib42"><label>Silvan et al.(2005)</label><mixed-citation>
Silvan, N., Tuittila, E. S., Kitunen, V., Vasander, H., and Laine, J.:
Nitrate
Uptake by Eriophorum Vaginatum Controls N<sub>2</sub>O Production in a Restored
Peatland, Soil Biol. Biochem., 37, 1519–1526,
<a href="https://doi.org/10.1016/j.soilbio.2005.01.006" target="_blank">https://doi.org/10.1016/j.soilbio.2005.01.006</a>,   2005.
</mixed-citation></ref-html>
<ref-html id="bib1.bib43"><label>Simek and Cooper(2002)</label><mixed-citation>
Simek, M. and Cooper, J.: The Influence of Soil pH on Denitrification:
Progress towards the Understanding of This Interaction over the Last 50
Years, Eur. J. Soil Sci., 53, 345–354,
<a href="https://doi.org/10.1046/j.1365-2389.2002.00461.x" target="_blank">https://doi.org/10.1046/j.1365-2389.2002.00461.x</a>, 2002.

</mixed-citation></ref-html>
<ref-html id="bib1.bib44"><label>Tang et al.(2001)</label><mixed-citation>
Tang, Y. S., Cape, J. N., and Sutton, M. A.: Development and Types of
Passive Samplers for Monitoring Atmospheric NO<sub>2</sub> and NH<sub>3</sub>
Concentrations, The Scientific World Journal, 1, 513–529,
<a href="https://doi.org/10.1100/tsw.2001.82" target="_blank">https://doi.org/10.1100/tsw.2001.82</a>, 2001.
</mixed-citation></ref-html>
<ref-html id="bib1.bib45"><label>Wood(2006)</label><mixed-citation>
Wood, S. N.: Generalized Additive Models: An Introduction with R,
Chapman and Hall/CRC, Boca Raton FL,  410 pp.,  ISBN-13: 978-1-5848-8474-3,
2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib46"><label>Zhang et al.(2007)</label><mixed-citation>
Zhang, L., Song, C., Zheng, X., Wang, D., and Wang, Y.: Effects of Nitrogen
on
the Ecosystem Respiration, CH<sub>4</sub> and N<sub>2</sub>O Emissions to the Atmosphere
from the Freshwater Marshes in Northeast China, Environmental Geology,
52, 529–539, <a href="https://doi.org/10.1007/s00254-006-0485-9" target="_blank">https://doi.org/10.1007/s00254-006-0485-9</a>,   2007.
</mixed-citation></ref-html>--></article>
