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  <front>
    <journal-meta>
<journal-id journal-id-type="publisher">BG</journal-id>
<journal-title-group>
<journal-title>Biogeosciences</journal-title>
<abbrev-journal-title abbrev-type="publisher">BG</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Biogeosciences</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1726-4189</issn>
<publisher><publisher-name>Copernicus Publications</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>

    <article-meta>
      <article-id pub-id-type="doi">10.5194/bg-14-1593-2017</article-id><title-group><article-title>Estimating global nitrous oxide emissions by lichens and bryophytes with a process-based productivity model</article-title>
      </title-group><?xmltex \runningtitle{Nitrous oxide emissions by lichens and bryophytes}?><?xmltex \runningauthor{P. Porada et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Porada</surname><given-names>Philipp</given-names></name>
          <email>philipp.porada@aces.su.se</email>
        <ext-link>https://orcid.org/0000-0002-5072-0220</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Pöschl</surname><given-names>Ulrich</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-1412-3557</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Kleidon</surname><given-names>Axel</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-3798-0730</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Beer</surname><given-names>Christian</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-5377-3344</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Weber</surname><given-names>Bettina</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-5453-3967</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Department of Environmental Science and Analytical Chemistry (ACES), Stockholm University,<?xmltex \hack{\newline}?> 10691 Stockholm, Sweden</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Bolin Centre for Climate Research, Stockholm University, 10691 Stockholm, Sweden</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Max Planck Institute for Chemistry, P.O. Box 3060, 55020 Mainz, Germany</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Max Planck Institute for Biogeochemistry, P.O. Box 10 01 64, 07701 Jena, Germany</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Philipp Porada (philipp.porada@aces.su.se)</corresp></author-notes><pub-date><day>28</day><month>March</month><year>2017</year></pub-date>
      
      <volume>14</volume>
      <issue>6</issue>
      <fpage>1593</fpage><lpage>1602</lpage>
      <history>
        <date date-type="received"><day>3</day><month>October</month><year>2016</year></date>
           <date date-type="rev-request"><day>14</day><month>October</month><year>2016</year></date>
           <date date-type="rev-recd"><day>30</day><month>January</month><year>2017</year></date>
           <date date-type="accepted"><day>3</day><month>March</month><year>2017</year></date>
      </history>
      <permissions>
<license license-type="open-access">
<license-p>This work is licensed under a Creative Commons Attribution 3.0 Unported License. To view a copy of this license, visit <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/3.0/">http://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions><self-uri xlink:href="https://bg.copernicus.org/articles/14/1593/2017/bg-14-1593-2017.html">This article is available from https://bg.copernicus.org/articles/14/1593/2017/bg-14-1593-2017.html</self-uri>
<self-uri xlink:href="https://bg.copernicus.org/articles/14/1593/2017/bg-14-1593-2017.pdf">The full text article is available as a PDF file from https://bg.copernicus.org/articles/14/1593/2017/bg-14-1593-2017.pdf</self-uri>


      <abstract>
    <p>Nitrous oxide is a strong greenhouse gas and atmospheric ozone-depleting
agent which is largely emitted by soils. Recently, lichens and bryophytes
have also been shown to release significant amounts of nitrous oxide. This
finding relies on ecosystem-scale estimates of net primary productivity of
lichens and bryophytes, which are converted to nitrous oxide emissions by
empirical relationships between productivity and respiration, as well as
between respiration and nitrous oxide release. Here we obtain an alternative
estimate of nitrous oxide emissions which is based on a global process-based
non-vascular vegetation model of lichens and bryophytes. The model quantifies
photosynthesis and respiration of lichens and bryophytes directly as a
function of environmental conditions, such as light and temperature. Nitrous
oxide emissions are then derived from simulated respiration assuming a fixed
relationship between the two fluxes. This approach yields a global estimate
of 0.27 (0.19–0.35) (Tg N<inline-formula><mml:math id="M1" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O) year<inline-formula><mml:math id="M2" 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> released by lichens and
bryophytes. This is lower than previous estimates but corresponds to about
50 % of the atmospheric deposition of nitrous oxide into the oceans or
25 % of the atmospheric deposition on land. Uncertainty in our simulated
estimate results from large variation in emission rates due to both
physiological differences between species and spatial heterogeneity of
climatic conditions. To constrain our predictions, combined online gas
exchange measurements of respiration and nitrous oxide emissions may be
helpful.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

      <?xmltex \hack{\newpage}?>
<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>Lichens and bryophytes have increasingly been recognized to play a relevant
role in global biogeochemical cycles <xref ref-type="bibr" rid="bib1.bibx11 bib1.bibx25 bib1.bibx3" id="paren.1"/>. They
are globally abundant, growing on soils, rocks and epiphytically on trees.
At high latitudes, they may form extensive covers on the forest floor, and in
wetlands mosses frequently represent the dominant vegetation type. In
drylands, lichens and bryophytes form so-called biological soil crusts
together with photosynthesizing cyanobacteria, algae, fungi and bacteria.
These crusts cover vast areas in arid and semiarid ecosystems.</p>
      <p>In a first approach, based on empirical upscaling of field measurements
according to ecosystem categories, <xref ref-type="bibr" rid="bib1.bibx11" id="text.2"/> calculated that lichens
and bryophytes, together with free-living cyanobacteria and algae, fix around
14.3 (Gt CO<inline-formula><mml:math id="M3" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>) year<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> (3.9 Gt carbon) at the global scale. This
corresponds to about 7 % of the net primary productivity (NPP) by
terrestrial vegetation. In an alternative approach to the empirical upscaling
of observations, <xref ref-type="bibr" rid="bib1.bibx20" id="text.3"/> utilized a process-based non-vascular
vegetation model for lichens and bryophytes, called LiBry, to calculate the
NPP of these organism groups at the global scale, obtaining similar results.</p>
      <p>In addition to photosynthetic carbon uptake, lichens and bryophytes are able
to fix nitrogen through symbiosis with cyanobacteria <xref ref-type="bibr" rid="bib1.bibx10 bib1.bibx3" id="paren.4"/>. Together with free-living cyanobacteria, their nitrogen fixation
was estimated to sum up to a global value of <inline-formula><mml:math id="M5" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 49 (Tg N) year<inline-formula><mml:math id="M6" 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>
<xref ref-type="bibr" rid="bib1.bibx11" id="paren.5"/>, which accounts for nearly half of the biological nitrogen
fixation on land. The LiBry model yielded a similar estimate of up to
34 (Tg N) year<inline-formula><mml:math id="M7" 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>, based on the nitrogen requirements of lichens and
bryophytes determined by <xref ref-type="bibr" rid="bib1.bibx21" id="text.6"/>. Moreover, it was found in the same
study that the organisms may contribute significantly to biotic enhancement
of global chemical weathering, by release of weathering agents such as
organic acids. Their potential for chemical weathering was derived from their
phosphorus demand, assuming that they dissolve surface rocks to acquire
phosphorus.</p>
      <p>Recently, lichen- and bryophyte-related nitrogen fluxes other than fixation
of nitrogen have been shown to be significant at the global scale.
<xref ref-type="bibr" rid="bib1.bibx29" id="text.7"/> found that biological soil crusts, which may contain large
fractions of lichens or bryophytes, emit considerable quantities of the
reactive trace gases NO and HONO, accounting for
<inline-formula><mml:math id="M8" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1.7 (Tg N) year<inline-formula><mml:math id="M9" 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 corresponds to <inline-formula><mml:math id="M10" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 20 % of
global nitrogen oxide emissions from soils under natural vegetation
<xref ref-type="bibr" rid="bib1.bibx8" id="paren.8"/>.</p>
      <p>Furthermore, <xref ref-type="bibr" rid="bib1.bibx17" id="text.9"/> showed that a large variety of lichen and
bryophyte species release nitrous oxide (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). They estimated that the
organisms emit a total value of 0.45
(0.32–0.59) (Tg N<inline-formula><mml:math id="M12" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O) year<inline-formula><mml:math id="M13" 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 the global scale, which corresponds to 4–9 % of natural terrestrial
N<inline-formula><mml:math id="M14" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions <xref ref-type="bibr" rid="bib1.bibx30" id="paren.10"/>. Since N<inline-formula><mml:math id="M15" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O is an important greenhouse
gas and also the main depleting substance of stratospheric ozone which is
still emitted today, quantifying all contributing sources is of high
importance <xref ref-type="bibr" rid="bib1.bibx7 bib1.bibx24 bib1.bibx13 bib1.bibx8" id="paren.11"/>.</p>
      <p>Absolute values of N<inline-formula><mml:math id="M16" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O release estimated by <xref ref-type="bibr" rid="bib1.bibx17" id="text.12"/> were highest
for lichens and bryophytes living on the ground in the boreal zone and for
epiphytic lichens and bryophytes in the humid tropics. The relative
contributions of lichens and bryophytes to total ecosystem N<inline-formula><mml:math id="M17" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions,
however, were highest in desert and tundra biomes, due to the low emissions
by other vegetation and the soil there. The high relevance of lichens and
bryophytes for N<inline-formula><mml:math id="M18" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions in drylands and at high latitudes is in
accordance with their strong impacts on other components of the nitrogen
cycle in these regions. Bryophytes, for instance, have been suggested to be
the main source of nitrogen input into boreal forests through fixation from
the atmosphere by cyanobacterial partners <xref ref-type="bibr" rid="bib1.bibx10" id="paren.13"/>. Also in drylands,
lichens and bryophytes are crucial for input of nitrogen into the ecosystem
<xref ref-type="bibr" rid="bib1.bibx3" id="paren.14"/>, and they may even be essential providers of nitrogen for
vascular plants <xref ref-type="bibr" rid="bib1.bibx27 bib1.bibx15" id="paren.15"/>.</p>
      <p>The estimate by <xref ref-type="bibr" rid="bib1.bibx17" id="text.16"/> is derived from measuring emissions of
N<inline-formula><mml:math id="M19" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O by the organisms in the laboratory under a range of environmental
conditions. All lichen and bryophyte species analysed by <xref ref-type="bibr" rid="bib1.bibx17" id="text.17"/>
showed release of 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. Lichens and bryophytes were shown to utilize
<inline-formula><mml:math id="M21" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>N labelled NO<inline-formula><mml:math id="M22" 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> but not NH<inline-formula><mml:math id="M23" 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>, indicating that 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>O is likely
formed during denitrification. The exact process of 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 formation,
however, remains largely unknown. One option is that the organisms themselves
release 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 during the metabolization of nitrate, in a similar way to that
suggested by <xref ref-type="bibr" rid="bib1.bibx26" id="text.18"/> for vascular plants. Another option is that
bacteria growing on lichen and moss cushions are responsible for the
emissions of N<inline-formula><mml:math id="M27" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O. This second option is supported by a recently published
study, wherein several strains of the bacterial genus <italic>Burkholderia</italic>,
which were shown to emit N<inline-formula><mml:math id="M28" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, were isolated from the boreal peat moss
<italic>Sphagnum fuscum</italic> <xref ref-type="bibr" rid="bib1.bibx18" id="paren.19"/>. While <xref ref-type="bibr" rid="bib1.bibx17" id="text.20"/> describe that
the substrate, which the organisms grew on, was thoroughly removed, further
cleaning steps to remove potential bacterial colonies have not been
conducted.</p>
      <p>Another finding by <xref ref-type="bibr" rid="bib1.bibx17" id="text.21"/> is that N<inline-formula><mml:math id="M29" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions are related to
respiration by a relatively constant factor. By applying this factor and,
furthermore, assuming a fixed ratio between respiration and NPP, the authors
utilized the global NPP data of <xref ref-type="bibr" rid="bib1.bibx11" id="text.22"/> to obtain globally resolved
N<inline-formula><mml:math id="M30" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions by lichens and bryophytes. The reliability of global
estimates derived from upscaling of small-scale measurements depends on the
variation of the measured fluxes. The field measurements of NPP, which were
extrapolated to the spatial scale of a biome by <xref ref-type="bibr" rid="bib1.bibx11" id="text.23"/>, vary by
around 2 orders of magnitude. Measurements of N<inline-formula><mml:math id="M31" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions by lichens
and bryophytes, too, show considerable variation. Regarding biological soil
crusts, several studies analysed denitrification rates to be negligible
<xref ref-type="bibr" rid="bib1.bibx16 bib1.bibx28" id="paren.24"/>, and 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 production was calculated to
constitute only 3–4 % of the N fixation rate <xref ref-type="bibr" rid="bib1.bibx2" id="paren.25"/>. Other
studies, however, described high denitrification rates that either increased
<xref ref-type="bibr" rid="bib1.bibx6" id="paren.26"/> or decreased with advancing crust development
<xref ref-type="bibr" rid="bib1.bibx1" id="paren.27"/>. One possibility to increase the reliability of large-scale
estimates of N<inline-formula><mml:math id="M33" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions by lichens and bryophytes is the application of
alternative, methodically different approaches.</p>
      <p>For this reason, we apply here the process-based non-vascular vegetation
model LiBry <xref ref-type="bibr" rid="bib1.bibx20" id="paren.28"/> to assess the contribution of these organisms to
the global N<inline-formula><mml:math id="M34" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O budget. LiBry simulates photosynthesis, respiration and
growth of lichens and bryophytes as a function of environmental conditions.
To distinguish global patterns of productivity on the ground and in the
canopy, the model represents these locations and their differing
environmental conditions separately. We calculate respiration by lichens and
bryophytes directly as a function of environmental conditions, and we derive
N<inline-formula><mml:math id="M35" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions based on the simulated respiration. By doing this, we obtain
physiologically driven and spatially resolved data on the N<inline-formula><mml:math id="M36" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions by
lichens and bryophytes at the global scale. Since we estimate respiration
with LiBry, we do not need to make assumptions regarding the ratio of NPP to
respiration, contrary to <xref ref-type="bibr" rid="bib1.bibx17" id="text.29"/>. Furthermore, we quantify
different sources of variation in N<inline-formula><mml:math id="M37" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions and determine their
relative importance.</p>
</sec>
<sec id="Ch1.S2">
  <title>Methods</title>
      <p>The non-vascular vegetation model LiBry estimates global patterns of
photosynthesis, respiration and net primary productivity of lichens and
bryophytes <xref ref-type="bibr" rid="bib1.bibx20" id="paren.30"/>. The model calculates these physiological
processes as a function of climate and additional environmental conditions,
which are provided in the form of time series of global gridded maps.
Photosynthesis in LiBry is determined by ambient levels of light, CO<inline-formula><mml:math id="M38" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and
temperature according to the Farquhar approach <xref ref-type="bibr" rid="bib1.bibx12" id="paren.31"/>.
Respiration is simulated as a function of temperature via a
<inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> relationship. Both processes also depend on the water status of the
simulated lichens and bryophytes, which includes limitation of
CO<inline-formula><mml:math id="M40" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> diffusion at high water content. NPP is derived from the difference
between gross photosynthesis and respiration. A unique feature of LiBry is
that functional diversity of lichens and bryophytes is represented by a large
number of artificial species, instead of being aggregated into one or a few
average functional types. The advantage of this approach is that adaptation
of the organisms to differing environmental conditions is simulated in a more
realistic way. Physiological processes such as photosynthesis and respiration
are calculated separately for each artificial species. LiBry has been
successfully applied to estimate global NPP by lichens and bryophytes
<xref ref-type="bibr" rid="bib1.bibx20" id="paren.32"/> and other impacts of these organisms on global
biogeochemical cycles <xref ref-type="bibr" rid="bib1.bibx21 bib1.bibx23" id="paren.33"/>.</p>
      <p>The model version presented here contains several extensions compared to the
original version: first, an NPP-based weighting scheme was introduced, which
assigns relative abundances to all artificial species that survive in a grid
cell of the model in the steady state <xref ref-type="bibr" rid="bib1.bibx23" id="paren.34"/>. This allows an average
grid cell value of NPP based on the relative abundances of
the simulated species in that cell to be derived. In the original version, grid cell NPP
could only be predicted in the form of a range of values, due to unknown
abundances of the species. The average grid cell NPP is close to the upper
end of the range of productivity values, since the most productive simulated
species are assumed to be the most abundant ones. Secondly, a dynamic
disturbance scheme was implemented, which replaces the equilibrium
computation of surface coverage by a monthly update of coverage
<xref ref-type="bibr" rid="bib1.bibx22" id="paren.35"/>. This makes the new model applicable to transient scenarios
of climatic and environmental change, while the original model required the
assumption of a steady state to compute coverage.</p>
      <p>For this study, we run LiBry with an initial value of 3000 artificial species
in each grid cell for a period of 600 years to reach steady state, with
climatic fields and other forcing data from <xref ref-type="bibr" rid="bib1.bibx20" id="text.36"/>. Our global
estimates are based on average values over the last 50 years of the
simulation. We evaluate the new version of LiBry in the same way as the
original one <xref ref-type="bibr" rid="bib1.bibx20" id="paren.37"/>, by comparing simulated NPP to field
measurements on a biome basis.</p>
      <p>LiBry does not include an explicit representation of processes that directly
result in emission of nitrous oxide. However, it has been determined
experimentally by <xref ref-type="bibr" rid="bib1.bibx17" id="text.38"/> that 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 emissions by lichens and
bryophytes are related to their respiration by a conversion factor of
16 ng 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 (mg CO<inline-formula><mml:math id="M43" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>)<inline-formula><mml:math id="M44" 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 conversion factor has a 90 %
confidence interval of 11 to 21 ng N<inline-formula><mml:math id="M45" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O (mg CO<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>)<inline-formula><mml:math id="M47" 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>. Since LiBry
explicitly calculates respiration by lichens and bryophytes, we derive N<inline-formula><mml:math id="M48" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O
emissions from simulated respiration using the conversion factor of
<xref ref-type="bibr" rid="bib1.bibx17" id="text.39"/>.</p>
      <p>The study by <xref ref-type="bibr" rid="bib1.bibx17" id="text.40"/> uses NPP of lichens and bryophytes, together
with free-living cyanobacteria and algae, to estimate N<inline-formula><mml:math id="M49" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions, since
global upscaled data on respiration of these organisms are not available from
<xref ref-type="bibr" rid="bib1.bibx11" id="text.41"/>. Thereby, <xref ref-type="bibr" rid="bib1.bibx17" id="text.42"/> assume a fixed ratio of
respiration to NPP. To determine this ratio, they evaluate literature data,
obtaining a rate of respiration relative to net photosynthesis of
<inline-formula><mml:math id="M50" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 49 % <xref ref-type="bibr" rid="bib1.bibx17" id="paren.43"><named-content content-type="post">Table S6</named-content></xref>. Since measurements have been
made in the sunlight but respiration continues in the dark, respiration is
multiplied by a factor of 2, assuming a 12 h day. This leads to an estimated
ratio of respiration to NPP which is roughly 1 : 1. To evaluate LiBry
further, we compute the ratio of respiration to NPP in LiBry to assess whether the
model is in agreement with these observations.</p>
      <p>In the study of <xref ref-type="bibr" rid="bib1.bibx17" id="text.44"/>, the substrate of the samples was removed
to avoid biases resulting from N<inline-formula><mml:math id="M51" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O release by microbes in the substrate.
Foliose and fruticose lichens as well as mosses were collected which grew on
soil, rocks and epiphytically on trees, and the authors found no variation in
N<inline-formula><mml:math id="M52" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions depending on the underlying substrate. Endolithic and
crustose lichens were not included in that study, as for these growth forms
the dry weight, which is needed for calculations, could not be determined in
a reliable manner.</p>
      <p>Variation in field measurements of N<inline-formula><mml:math id="M53" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions may result not only from
physiological differences between species but also from variation in
climatic conditions, which can be significant at the small scale. To upscale
emissions from point measurements to the large scale, it is important to
quantify the relative contributions of these different sources of variation.
When, for instance, the variation between species regarding their N<inline-formula><mml:math id="M54" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O
emissions is small, it suffices to sample a low number of species to
obtain an average emission for a certain climatic condition. LiBry can
provide an indication of the relative importance of these sources of
variation, since the model not only represents climate variability but also
simulates diverse physiological strategies. Each grid cell of the model
contains a range of surviving species at the end of the simulation and that,
consequently, shows a range of N<inline-formula><mml:math id="M55" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions. LiBry does not simulate
spatial variation in climatic conditions within a grid cell. However, by
comparing average emission rates of grid cells from different climates, it is
possible to assess the relative importance of climatic conditions for
variation in N<inline-formula><mml:math id="M56" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions. We select five model grid cells from different
ecosystem classes to analyse the relative importance of differences between
species and climatic heterogeneity on variation in N<inline-formula><mml:math id="M57" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions. It
should be pointed out that LiBry does not compute directly N<inline-formula><mml:math id="M58" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions
by lichens and bryophytes, but it derives them from simulated respiration
through an empirical linear relationship. Hence, differences in the
sensitivities of respiration and N<inline-formula><mml:math id="M59" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions to climatic conditions may
lead to uncertainties in our predicted effects of climate on N<inline-formula><mml:math id="M60" 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.S3">
  <title>Results</title>
      <p>The global distribution of net primary productivity simulated by the updated
version of LiBry is shown in Fig. <xref ref-type="fig" rid="Ch1.F1"/>. Productivity by lichens and
bryophytes is highest in forested regions and lowest in deserts and
agricultural regions. Hence, the spatial pattern is mainly controlled by
water availability, except for cropland. In LiBry, it is assumed that lichens
and bryophytes only grow on the area fraction of a grid cell which is not
occupied by crops. Therefore, on a grid cell basis, regions with a high
fractional cover of cropland show low productivity by lichens and bryophytes,
in spite of favourable climatic conditions. The high productivity in the
humid tropics mainly results from epiphytic lichens and bryophytes in the
canopy, while in the boreal zone the larger fraction of productivity stems
from the ground.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><caption><p>Global patterns of NPP. Lichen and bryophyte NPP estimated by LiBry
for <bold>(a)</bold> all locations of growth, <bold>(b)</bold> the canopy and
<bold>(c)</bold> the ground. The estimates are in grams of carbon per square metre, and
they are average values over the last 50 years of a 600-year simulation with
3000 initial species. Grey colour denotes regions where no simulated species
is able to survive, such as ice shields and the driest regions of deserts.</p></caption>
        <?xmltex \igopts{width=184.942913pt}?><graphic xlink:href="https://bg.copernicus.org/articles/14/1593/2017/bg-14-1593-2017-f01.pdf"/>

      </fig>

      <p>As a result of the dynamic surface coverage, the spatial patterns of NPP
differ slightly between the new and the original version of LiBry, but the
large-scale gradients remain the same. Comparing the global pattern of lichen
and bryophyte NPP simulated by the new version of LiBry to an empirical
estimate by <xref ref-type="bibr" rid="bib1.bibx11" id="text.45"/> shows good agreement, similar to the original
version. Furthermore, the total global NPP predicted by the new LiBry differs
from the original estimate due to the updated calculation of coverage. The
main difference is found for the tropical forest canopy, where simulated NPP
increases significantly. The total global NPP of 4.3 (Gt C) year<inline-formula><mml:math id="M61" 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>
estimated by the new LiBry compares well to the value of
3.9 (Gt C) year<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> calculated by <xref ref-type="bibr" rid="bib1.bibx11" id="text.46"/>.</p>
      <p>Comparison of simulated NPP to field measurements on a biome basis suggests
that LiBry predicts realistic values of NPP for a range of ecosystems
(Fig. <xref ref-type="fig" rid="Ch1.F2"/>). In particular, simulated NPP in the tropical and the
boreal forest matches well with observations, while the original version of
LiBry seemed to underestimate NPP in these biomes. In the biomes desert and,
to a lesser extent, tundra, LiBry seems to overestimate productivity, which
may have also been the case with the original version. A potential
explanation for this is that productivity in dry and cold areas may
be limited not only by climatic factors but also by nutrient availability
<xref ref-type="bibr" rid="bib1.bibx23" id="paren.47"/>. Since photosynthesis and growth are only controlled by
climatic factors in LiBry, the effect of spatial variation in nutrient
availability on productivity cannot yet be simulated. It should be pointed
out, however, that, except for the boreal biome, the number of field
measurements is quite low and, consequently, the observation-based
characteristic values for each biome are subject to considerable uncertainty.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p>Comparison of LiBry estimates to field measurements. NPP estimated
by LiBry compared to field measurements from four biomes, defined after
<xref ref-type="bibr" rid="bib1.bibx19" id="text.48"/>. The blue dots show the average simulated NPP for each biome,
and the blue vertical bars show the range of NPP values between the different
grid cells in a biome. The magenta diamonds correspond to the median of NPP
values measured in the field on the small scale; the magenta vertical bars
denote the range of the field measurements. Left of the magenta diamonds the
number of field measurements is shown that is considered for the respective
biome. Details can be found in <xref ref-type="bibr" rid="bib1.bibx20" id="text.49"/>.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://bg.copernicus.org/articles/14/1593/2017/bg-14-1593-2017-f02.pdf"/>

      </fig>

      <p>Figure <xref ref-type="fig" rid="Ch1.F3"/> shows simulated global patterns of nitrous oxide
emissions by lichens and bryophytes. Nitrous oxide emission is highest in the
humid tropics and subtropics with values up to
10 (mg N<inline-formula><mml:math id="M63" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O) m<inline-formula><mml:math id="M64" 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> year<inline-formula><mml:math id="M65" 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> (Fig. <xref ref-type="fig" rid="Ch1.F3"/>a). A second
region of high emissions is the boreal zone with values up to
8 (mg N<inline-formula><mml:math id="M66" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O) m<inline-formula><mml:math id="M67" 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> year<inline-formula><mml:math id="M68" 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>. Dry regions show lowest values of
nitrous oxide emissions, in general less than
1 (mg N<inline-formula><mml:math id="M69" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O) m<inline-formula><mml:math id="M70" 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> year<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>. Considering only lichens and
bryophytes which grow as epiphytes in the canopy (Fig. <xref ref-type="fig" rid="Ch1.F3"/>b),
emissions in the humid tropics are around 3 times higher than in the
boreal and temperate zones. Lichens and bryophytes on the ground show highest
values of nitrous oxide emissions in the boreal zone, with values around
3 (mg N<inline-formula><mml:math id="M72" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O) m<inline-formula><mml:math id="M73" 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> year<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> (Fig. <xref ref-type="fig" rid="Ch1.F3"/>c). Regarding the
ground, tropical and subtropical regions only partly show N<inline-formula><mml:math id="M75" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions
comparable to those of the boreal zone. The reason for this is low simulated
productivity and coverage of lichens and bryophytes on the ground in tropical
and subtropical climates, which also leads to low respiration on a grid cell
level and hence to low N<inline-formula><mml:math id="M76" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><caption><p>Global patterns of N<inline-formula><mml:math id="M77" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O release. Nitrous oxide emissions by
lichens and bryophytes estimated by LiBry for <bold>(a)</bold> all locations of
growth, <bold>(b)</bold> the canopy and <bold>(c)</bold> the ground. Note the
differing ranges of the colour bars. Grey colour denotes regions where no
simulated species is able to survive, such as ice shields and the driest
regions of deserts.</p></caption>
        <?xmltex \igopts{width=184.942913pt}?><graphic xlink:href="https://bg.copernicus.org/articles/14/1593/2017/bg-14-1593-2017-f03.pdf"/>

      </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p>Annual global total values of N<inline-formula><mml:math id="M78" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions, NPP, respiration and
the ratio of respiration to NPP estimated by LiBry and separated into
lichens and bryophytes living in the canopy and on the ground. The values in
brackets in the first column show the uncertainty in N<inline-formula><mml:math id="M79" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions due to
the conversion of released CO<inline-formula><mml:math id="M80" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> to N<inline-formula><mml:math id="M81" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O (90 % confidence interval
from <xref ref-type="bibr" rid="bib1.bibx17" id="text.50"/>). Ecosystem classes shown are based on the categories
made by <xref ref-type="bibr" rid="bib1.bibx19" id="text.51"/>, which were aggregated by us in the same way as in
<xref ref-type="bibr" rid="bib1.bibx11" id="text.52"/>. “Gt C” stands for gigatons of carbon.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry namest="col2" nameend="col3">N<inline-formula><mml:math id="M82" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions</oasis:entry>  
         <oasis:entry colname="col4">NPP</oasis:entry>  
         <oasis:entry colname="col5">Respiration</oasis:entry>  
         <oasis:entry colname="col6">Respiration : NPP</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry namest="col2" nameend="col3">(Tg N<inline-formula><mml:math id="M83" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O) year<inline-formula><mml:math id="M84" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">(Gt C) year<inline-formula><mml:math id="M85" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">(Gt C) year<inline-formula><mml:math id="M86" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">[ ]</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Canopy <inline-formula><mml:math id="M87" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> ground</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Global</oasis:entry>  
         <oasis:entry colname="col2">0.27</oasis:entry>  
         <oasis:entry colname="col3">(0.19–0.35)</oasis:entry>  
         <oasis:entry colname="col4">4.3</oasis:entry>  
         <oasis:entry colname="col5">4.5</oasis:entry>  
         <oasis:entry colname="col6">1.10</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Tropical forest</oasis:entry>  
         <oasis:entry colname="col2">0.11</oasis:entry>  
         <oasis:entry colname="col3">(0.08–0.14)</oasis:entry>  
         <oasis:entry colname="col4">1.5</oasis:entry>  
         <oasis:entry colname="col5">1.8</oasis:entry>  
         <oasis:entry colname="col6">1.33</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Extratropical forest</oasis:entry>  
         <oasis:entry colname="col2">0.11</oasis:entry>  
         <oasis:entry colname="col3">(0.08–0.14)</oasis:entry>  
         <oasis:entry colname="col4">2.0</oasis:entry>  
         <oasis:entry colname="col5">1.8</oasis:entry>  
         <oasis:entry colname="col6">0.93</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Steppe &amp; savannah</oasis:entry>  
         <oasis:entry colname="col2">0.03</oasis:entry>  
         <oasis:entry colname="col3">(0.02–0.04)</oasis:entry>  
         <oasis:entry colname="col4">0.4</oasis:entry>  
         <oasis:entry colname="col5">0.4</oasis:entry>  
         <oasis:entry colname="col6">1.21</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Desert</oasis:entry>  
         <oasis:entry colname="col2">0.02</oasis:entry>  
         <oasis:entry colname="col3">(0.01–0.03)</oasis:entry>  
         <oasis:entry colname="col4">0.4</oasis:entry>  
         <oasis:entry colname="col5">0.4</oasis:entry>  
         <oasis:entry colname="col6">1.05</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"> Tundra</oasis:entry>  
         <oasis:entry colname="col2">0.01</oasis:entry>  
         <oasis:entry colname="col3">(0.007–0.013)</oasis:entry>  
         <oasis:entry colname="col4">0.2</oasis:entry>  
         <oasis:entry colname="col5">0.2</oasis:entry>  
         <oasis:entry colname="col6">0.87</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Canopy, global</oasis:entry>  
         <oasis:entry colname="col2">0.13</oasis:entry>  
         <oasis:entry colname="col3">(0.09–0.17)</oasis:entry>  
         <oasis:entry colname="col4">2.1</oasis:entry>  
         <oasis:entry colname="col5">2.2</oasis:entry>  
         <oasis:entry colname="col6">1.01</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Ground, global</oasis:entry>  
         <oasis:entry colname="col2">0.14</oasis:entry>  
         <oasis:entry colname="col3">(0.10–0.18)</oasis:entry>  
         <oasis:entry colname="col4">2.2</oasis:entry>  
         <oasis:entry colname="col5">2.3</oasis:entry>  
         <oasis:entry colname="col6">1.16</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p>Figure <xref ref-type="fig" rid="Ch1.F4"/> shows the simulated global spatial distribution of
the ratio of respiration to NPP. The assumption of a globally constant ratio
of respiration to NPP is used by <xref ref-type="bibr" rid="bib1.bibx17" id="text.53"/> to derive ecosystem-scale
N<inline-formula><mml:math id="M88" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions by lichens and bryophytes from their NPP. Alternatively,
this ratio can be derived from the independent LiBry estimates of NPP and
respiration. The simulated ratio shows a latitudinal pattern with increasing
values towards the tropics (Fig. <xref ref-type="fig" rid="Ch1.F4"/>a). This results from the
influence of surface temperature on respiration in combination with high
nighttime temperatures in the humid tropics, which cause high respiration
rates during the night. Note that high respiration relative to NPP of
tropical lichens and bryophytes does not necessarily mean high respiration at
the grid cell level, since net productivity and coverage may be low.
Respiration by lichens and bryophytes in the canopy shows a slightly weaker
latitudinal gradient than on the ground, which can be explained by efficient
evaporative cooling in the canopy (Fig. <xref ref-type="fig" rid="Ch1.F4"/>b). In contrast,
lichens and bryophytes on the ground usually grow within the surface boundary
layer, which reduces cooling by turbulent heat transfer, leading to a strong
influence of incoming radiation on surface temperature. Since radiation input
increases toward the Equator, the ratio of respiration to NPP on the ground
in the tropics is markedly higher than at high latitudes
(Fig. <xref ref-type="fig" rid="Ch1.F4"/>c). The ratio of respiration to NPP varies from less
than 1 to around 2, while most values are around 1. This means that gross
primary productivity (GPP) is partitioned roughly equally into NPP and
respiration, which agrees well with the observational data from
<xref ref-type="bibr" rid="bib1.bibx17" id="text.54"/>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><caption><p>Global patterns of the ratio of respiration to NPP. Ratio of
respiration to NPP of lichens and bryophytes estimated by LiBry for
<bold>(a)</bold> all locations of growth, <bold>(b)</bold> the canopy and
<bold>(c)</bold> the ground.</p></caption>
        <?xmltex \igopts{width=184.942913pt}?><graphic xlink:href="https://bg.copernicus.org/articles/14/1593/2017/bg-14-1593-2017-f04.pdf"/>

      </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><caption><p>Simulated nitrous oxide emissions by lichens and bryophytes in
(mg N<inline-formula><mml:math id="M89" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O) m<inline-formula><mml:math id="M90" 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> year<inline-formula><mml:math id="M91" 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 individual grid cells of the LiBry
model. The values are averages over the last 50 years of a 600-year
simulation with 3000 initial species. Grid cells are selected from five
different ecosystem classes. In the two forest classes, emissions are
separated into canopy and ground. In the other classes, the model does not
represent lichens and bryophytes in the canopy. The range of N<inline-formula><mml:math id="M92" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions
based on all surviving artificial species in a grid cell is shown. The
average value for all species in a grid cell is derived by an NPP-based
weighting scheme (see Sect. <xref ref-type="sec" rid="Ch1.S2"/>).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Ecosystem class</oasis:entry>  
         <oasis:entry colname="col2">Location</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4">Minimum</oasis:entry>  
         <oasis:entry colname="col5">Average</oasis:entry>  
         <oasis:entry colname="col6">Maximum</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Tropical forest</oasis:entry>  
         <oasis:entry colname="col2">Central Amazon</oasis:entry>  
         <oasis:entry colname="col3">ground</oasis:entry>  
         <oasis:entry colname="col4">0.31</oasis:entry>  
         <oasis:entry colname="col5">0.59</oasis:entry>  
         <oasis:entry colname="col6">0.88</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">canopy</oasis:entry>  
         <oasis:entry colname="col4">0.081</oasis:entry>  
         <oasis:entry colname="col5">3.3</oasis:entry>  
         <oasis:entry colname="col6">8.2</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Extratropical forest</oasis:entry>  
         <oasis:entry colname="col2">West Siberia</oasis:entry>  
         <oasis:entry colname="col3">ground</oasis:entry>  
         <oasis:entry colname="col4">0.023</oasis:entry>  
         <oasis:entry colname="col5">1.7</oasis:entry>  
         <oasis:entry colname="col6">4.8</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">canopy</oasis:entry>  
         <oasis:entry colname="col4">0.0040</oasis:entry>  
         <oasis:entry colname="col5">2.1</oasis:entry>  
         <oasis:entry colname="col6">6.2</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Steppe &amp; savannah</oasis:entry>  
         <oasis:entry colname="col2">Central Sahel</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4">0.0095</oasis:entry>  
         <oasis:entry colname="col5">0.088</oasis:entry>  
         <oasis:entry colname="col6">0.32</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Desert</oasis:entry>  
         <oasis:entry colname="col2">Central Australia</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4">0.019</oasis:entry>  
         <oasis:entry colname="col5">1.6</oasis:entry>  
         <oasis:entry colname="col6">5.5</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Tundra</oasis:entry>  
         <oasis:entry colname="col2">North Alaska</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4">0.012</oasis:entry>  
         <oasis:entry colname="col5">0.095</oasis:entry>  
         <oasis:entry colname="col6">0.17</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p>An overview of global total values of N<inline-formula><mml:math id="M93" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions, respiration, NPP and
the ratio of respiration to NPP estimated by LiBry is shown in
Table <xref ref-type="table" rid="Ch1.T1"/>. Table <xref ref-type="table" rid="Ch1.T2"/> shows N<inline-formula><mml:math id="M94" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions by lichens
and bryophytes for individual grid cells from five different ecosystem
classes (see also Table <xref ref-type="table" rid="Ch1.T1"/>). Variation in emissions between
species within a grid cell is large; it can exceed 3 orders of magnitude.
The variation due to climatic conditions is smaller, but it still amounts to
almost 2 orders of magnitude based on the grid cells with the highest and
lowest average emission rates. Comparing Table <xref ref-type="table" rid="Ch1.T2"/> to the global
range of N<inline-formula><mml:math id="M95" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions by lichens and bryophytes (Fig. <xref ref-type="fig" rid="Ch1.F3"/>)
shows that the five selected grid cells represent well the global variation
in emissions due to climatic conditions. Thus, both functional diversity of
the artificial species and different climatic conditions are important for
variation of N<inline-formula><mml:math id="M96" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions, according to the LiBry simulation.</p>
</sec>
<sec id="Ch1.S4">
  <title>Discussion</title>
      <p>In this study we estimate nitrous oxide emissions by lichens and bryophytes
with the global process-based non-vascular vegetation model LiBry. Thereby,
we derive N<inline-formula><mml:math id="M97" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions from respiration fluxes which are, together with
photosynthesis and net primary productivity, simulated by LiBry.</p>
      <p>We use an updated version of LiBry which contains significant modifications
with regard to the original version published in <xref ref-type="bibr" rid="bib1.bibx20" id="text.55"/>. Regarding
NPP, the new version estimates 4.3 (Gt C) year<inline-formula><mml:math id="M98" 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>, while the original
version of LiBry predicted a range of 0.34 to 3.3 (Gt C) year<inline-formula><mml:math id="M99" 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
increase in predicted NPP is mainly attributed to a higher simulated
productivity in the tropical forest canopy, since a new disturbance scheme
allows for a higher surface coverage of lichens and bryophytes there. An
empirical global estimate of NPP by lichens, bryophytes, free-living
terrestrial cyanobacteria and algae <xref ref-type="bibr" rid="bib1.bibx11" id="paren.56"/> amounts to
3.9 (Gt C) year<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>. Our new estimate is higher than that by
<xref ref-type="bibr" rid="bib1.bibx11" id="text.57"/>, although LiBry does not consider free-living cyanobacteria
and algae. This may be explained by the small contribution of cyanobacteria
and algae to the overall global carbon uptake, which can be compensated for by
minor relative changes in productivity of lichens and bryophytes
<xref ref-type="bibr" rid="bib1.bibx9 bib1.bibx25" id="paren.58"/>. It is not straightforward to determine which number
is closest to reality, since both the process-based estimate by LiBry and
the empirical one by <xref ref-type="bibr" rid="bib1.bibx11" id="text.59"/> are subject to uncertainty. In the
study of <xref ref-type="bibr" rid="bib1.bibx11" id="text.60"/>, for instance, it is assumed that productivity and
active time are uniform within a biome. Furthermore, <xref ref-type="bibr" rid="bib1.bibx11" id="text.61"/> use a
globally uniform value of surface cover fraction to scale up local field
measurements of productivity to the global scale. However, values of surface
coverage by lichens and bryophytes compiled by <xref ref-type="bibr" rid="bib1.bibx11" id="text.62"/> vary greatly
at the small scale, which makes upscaling to larger scales challenging.</p>
      <p>While productivity estimated by LiBry is evaluated in this study, large-scale
surface coverage of lichens and bryophytes simulated by LiBry has been
evaluated for regions north of 50<inline-formula><mml:math id="M101" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N in <xref ref-type="bibr" rid="bib1.bibx22" id="text.63"/>. It was
shown that LiBry predicts realistic values of cover fraction. Moreover,
values of surface cover predicted by LiBry for other regions of the world
<xref ref-type="bibr" rid="bib1.bibx23" id="paren.64"/> are in agreement with the estimate of <xref ref-type="bibr" rid="bib1.bibx11" id="text.65"/>. In
spite of uncertainties regarding productivity and abundance of lichens and
bryophytes, comparing the empirical and process-based approaches gives
confidence in the order of magnitude of the LiBry simulation results.</p>
      <p><?xmltex \hack{\newpage}?>As a 50-year steady-state average value, we estimate total N<inline-formula><mml:math id="M102" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions
by lichens and bryophytes of 0.27 (0.19–0.35) (Tg N<inline-formula><mml:math id="M103" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O) year<inline-formula><mml:math id="M104" 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>,
which is at the lower end of the range of 0.32 to
0.59 (Tg N<inline-formula><mml:math id="M105" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O) year<inline-formula><mml:math id="M106" 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> calculated by <xref ref-type="bibr" rid="bib1.bibx17" id="text.66"/>. The
evaluation of LiBry regarding simulated NPP shows that our global patterns
and total values of NPP are very similar to the empirical estimate by
<xref ref-type="bibr" rid="bib1.bibx11" id="text.67"/>. Since <xref ref-type="bibr" rid="bib1.bibx17" id="text.68"/> use this NPP estimate by
<xref ref-type="bibr" rid="bib1.bibx11" id="text.69"/> to derive N<inline-formula><mml:math id="M107" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions, differences in NPP are most
likely not the reason for our lower estimate of N<inline-formula><mml:math id="M108" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions compared to
<xref ref-type="bibr" rid="bib1.bibx17" id="text.70"/>. Instead, this may be explained by differing methods to
compute respiration: while <xref ref-type="bibr" rid="bib1.bibx17" id="text.71"/> assume a globally uniform ratio
of respiration to NPP of a value of 2 to estimate respiration, LiBry simulates
respiration independently as a species-specific function of temperature and
water status. This results in a lower global average value of around 1 for
the ratio of respiration to NPP predicted by LiBry. Our estimated ratio of
respiration to NPP agrees well with laboratory measurements, but it is in
general difficult to compare a global ecosystem-scale value to small-scale
and short-term observations.</p>
      <p>Our simulated global pattern 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 emissions is slightly different than
that shown in <xref ref-type="bibr" rid="bib1.bibx17" id="text.72"/>, who estimate highest values in the boreal
zone and only intermediate values in the humid tropics. This can be explained
by their assumed constant ratio of respiration to NPP, which makes their
global pattern of N<inline-formula><mml:math id="M110" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions identical to that of NPP, which is shown
in <xref ref-type="bibr" rid="bib1.bibx11" id="text.73"/>. In LiBry, however, the simulated ratio of respiration to
NPP increases towards higher surface temperatures in the tropics
(Fig. <xref ref-type="fig" rid="Ch1.F4"/>). Furthermore, the ratio shows
large spatial variation. Evaluating this simulated pattern is difficult,
since estimates which are extrapolated to the large scale, such as the NPP
estimate by <xref ref-type="bibr" rid="bib1.bibx11" id="text.74"/>, are not available for respiration by lichens
and bryophytes. However, observed ratios of respiration to NPP of lichens and
bryophytes vary considerably at the species level, as shown by, for example,
<xref ref-type="bibr" rid="bib1.bibx17" id="text.75"/>. Using a constant ratio of respiration to NPP may therefore
introduce a bias in the estimated spatial distribution of N<inline-formula><mml:math id="M111" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions.</p>
      <p>Small-scale measurements of N<inline-formula><mml:math id="M112" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions by lichens and bryophytes may
show considerable variation. The sources of this variation may be
physiological differences between species, variation of associated microbial
communities and/or heterogeneity in climatic conditions. We examine the
relative importance for respiration of differences between species compared
to climatic differences with LiBry, since the model simulates various
physiological strategies and represents variation in climatic conditions at
the global scale. Thereby, we assume that the relationship between
respiration and N<inline-formula><mml:math id="M113" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions is relatively insensitive to climatic
conditions and physiological differences between species, as suggested by the
experiments by <xref ref-type="bibr" rid="bib1.bibx17" id="text.76"/>. Table <xref ref-type="table" rid="Ch1.T2"/> shows that both
differences between artificial species and different climatic
conditions are important for variation of N<inline-formula><mml:math id="M114" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions. Upscaling of
N<inline-formula><mml:math id="M115" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emission rates measured in the field may therefore be subject to
considerable uncertainty. Modelling approaches in this direction should
probably account for both interspecific variation in processes associated
with N<inline-formula><mml:math id="M116" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O release by lichens and bryophytes as well as variation in
climatic conditions.</p>
      <p>Although our approach considers the most important sources of variation in
N<inline-formula><mml:math id="M117" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions by lichens and bryophytes, it is associated with
uncertainties that should be discussed further. These uncertainties mainly
result from our method to estimate respiration and from assumptions
concerning the empirical relationship between respiration and N<inline-formula><mml:math id="M118" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O
emissions.</p>
      <p>Respiration and the ratio of respiration to NPP simulated by LiBry are
difficult to validate, since the number of laboratory or field studies which
measure not only NPP but also GPP and respiration is not very high.
Moreover, long-term measurements of respiration would be required to
determine the ratio of respiration to NPP. Otherwise, assumptions about the
contribution of respiration in the dark to total respiration are necessary.</p>
      <p>To obtain N<inline-formula><mml:math id="M119" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions from respiration, our results rely on the
laboratory incubation measurements and the calculated ratio of N<inline-formula><mml:math id="M120" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O
emissions to respiration presented in <xref ref-type="bibr" rid="bib1.bibx17" id="text.77"/>. Furthermore, our
approach considers effects of variation in climatic conditions on N<inline-formula><mml:math id="M121" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O
emissions by lichens and bryophytes. Hence, it is necessary to discuss the
sensitivity of the relationship between respiration and N<inline-formula><mml:math id="M122" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions to a
range of climatic conditions. As shown in <xref ref-type="bibr" rid="bib1.bibx17" id="text.78"><named-content content-type="post">Fig. 3</named-content></xref>, the
relationship between respiration and N<inline-formula><mml:math id="M123" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions seems to be insensitive
to temperature changes for the tested species. Likewise, variations in water
content have no clear effect on the relationship between N<inline-formula><mml:math id="M124" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O release and
respiration <xref ref-type="bibr" rid="bib1.bibx17" id="paren.79"><named-content content-type="post">Fig. S3</named-content></xref>. Although the sensitivities of 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
release to temperature and water content are similar to those of respiration
across species, the relationship between N<inline-formula><mml:math id="M126" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O release and respiration shows
interspecific variation. However, in spite of a large number of around 40
sampled species, the relationship shows a relatively narrow 90 %
confidence interval of 11.3 to 20.7 ng N<inline-formula><mml:math id="M127" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O (mg CO<inline-formula><mml:math id="M128" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>)<inline-formula><mml:math id="M129" 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>
<xref ref-type="bibr" rid="bib1.bibx17" id="paren.80"/>. This suggests that the mechanism of N<inline-formula><mml:math id="M130" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O release by
lichens and bryophytes is similar between different species.</p>
      <p>To analyse the relation between the production of N<inline-formula><mml:math id="M131" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and respiratory
CO<inline-formula><mml:math id="M132" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in greater detail, measurements of both fluxes by means of online gas
exchange measurements would be needed, which then could be linked to the
observed water status of the organisms. Since LiBry explicitly represents the
dynamic water saturation of lichens and bryophytes, this would allow a more
process-based prediction of the duration and magnitude of N<inline-formula><mml:math id="M133" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions.
In this way, the uncertainty associated with our approach would be reduced,
facilitating an improved estimate of global N<inline-formula><mml:math id="M134" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions by lichens and
bryophytes.</p>
      <p>In order to assess model-based estimates of N<inline-formula><mml:math id="M135" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions by lichens and
bryophytes, a relatively large number of field measurements are necessary.
Currently, most N<inline-formula><mml:math id="M136" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O measurements, independent of the substrate or
organisms measured, generally suffer from major uncertainties, additionally
to variation from functional diversity and differing climatic conditions:
first, the majority of these studies have been conducted using the acetylene
inhibition technique. The idea of this method is to inhibit the last
denitrification step, so that the measured N<inline-formula><mml:math id="M137" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O amounts should reveal the
sum of N<inline-formula><mml:math id="M138" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and N<inline-formula><mml:math id="M139" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> release during denitrification under natural
conditions. It has, however, been shown quite a while ago that this method
leads to an underestimation of denitrification under oxic conditions
<xref ref-type="bibr" rid="bib1.bibx5" id="paren.81"/>. Secondly, the most widely used measuring technique has
been the closed-chamber method, which is inexpensive and easy to use. This,
however, has major shortcomings, as environmental conditions are hard to
control and only limited surface areas can be measured <xref ref-type="bibr" rid="bib1.bibx7 bib1.bibx14" id="paren.82"/>. Furthermore, the limited temporal resolution of chamber
measurements may affect estimated N<inline-formula><mml:math id="M140" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions <xref ref-type="bibr" rid="bib1.bibx4" id="paren.83"/>. Thirdly,
depending on the environmental conditions under which the experiment is
performed – particularly water, temperature, and nutrient conditions – the
obtained N<inline-formula><mml:math id="M141" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emission rates could differ widely. Thus, it is indispensable
to report and consider the exact environmental conditions under which the
measurements were made and to restrict natural emission data to those
assessed under typically occurring natural conditions.</p>
      <p>Respiration by lichens and bryophytes is not the only process which can be
used to estimate their N<inline-formula><mml:math id="M142" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions. <xref ref-type="bibr" rid="bib1.bibx2" id="text.84"/> report a
relationship between  nitrogen fixation and N<inline-formula><mml:math id="M143" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O release in biological soil
crusts, which include lichens and bryophytes, as well as soil bacteria and
algae. For this approach, however, reliable nitrogen fixation data are
sparse. It is also possible to estimate the demand for nitrogen by lichens
and bryophytes with LiBry with an uncertainty range of around 1 order of
magnitude <xref ref-type="bibr" rid="bib1.bibx21" id="paren.85"/>. However, it is not straightforward to derive
realized nitrogen uptake or nitrogen fixation from this, since LiBry does not
yet include processes related to nitrogen uptake or metabolization of
nitrogen species. Therefore, for this study, we chose the relation between
respiration and N<inline-formula><mml:math id="M144" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O release to quantify 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 emissions by lichens and
bryophytes.</p>
      <p>Our simulated global 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 emissions by lichens and bryophytes of 0.27
(0.19–0.35) (Tg N<inline-formula><mml:math id="M147" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O) year<inline-formula><mml:math id="M148" 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> amount to around 3 % of global
N<inline-formula><mml:math id="M149" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions from natural sources on land <xref ref-type="bibr" rid="bib1.bibx8" id="paren.86"/>. This value may
sound low at first glance, but it equals about 50 % of the atmospheric
deposition 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 into the oceans or 25 % of the deposition on land
<xref ref-type="bibr" rid="bib1.bibx8" id="paren.87"/>. Considering that N<inline-formula><mml:math id="M151" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O has a strong negative effect on
stratospheric ozone and a significant warming potential as a greenhouse gas,
even relatively small emissions should not be neglected in global budgets.</p>
      <p>The study by <xref ref-type="bibr" rid="bib1.bibx30" id="text.88"/> estimates global patterns of N<inline-formula><mml:math id="M152" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emission
from soils and finds that the humid tropics contribute most to global N<inline-formula><mml:math id="M153" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O
emission due to high temperature and precipitation. Our simulated pattern of
global 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 emissions by lichens and bryophytes also shows a hotspot in the
humid tropics, but the relative contribution of the boreal zone to the global
flux seems to be higher than in <xref ref-type="bibr" rid="bib1.bibx30" id="text.89"/>. This probably results from
the high simulated NPP in the boreal zone, particularly on the ground, which
compensates for the lower respiration and therefore N<inline-formula><mml:math id="M155" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emission per
productivity due to low temperatures. Relative contributions of lichens and
bryophytes to N<inline-formula><mml:math id="M156" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions are highest for ecosystems in desert regions
and at high latitudes, which agrees with the results by <xref ref-type="bibr" rid="bib1.bibx17" id="text.90"/>.</p>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <title>Conclusions</title>
      <p>We estimate large-scale spatial patterns and global values of N<inline-formula><mml:math id="M157" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O
emissions by lichens and bryophytes from a process-based model of their
productivity and respiration. Our results suggest a significant contribution
of lichens and bryophytes to global N<inline-formula><mml:math id="M158" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions, albeit at the lower end
of the range of a previous empirical estimate. Since both approaches use
respiration to derive N<inline-formula><mml:math id="M159" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions, our lower estimate likely results
from a different method to predict respiration, compared to the empirical
approach. Hence, while estimates of productivity are relatively well
constrained, evaluating models with regard to estimated respiration may
improve predictions of 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 emissions by lichens and bryophytes. One
important finding derived from our simulation is that the ratio of
respiration to NPP by lichens and bryophytes shows spatial variation and a
latitudinal gradient at the global scale. This means that productivity and
N<inline-formula><mml:math id="M161" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions by the organisms are not necessarily correlated and that
tropical regions may show higher emissions than polar regions given the same
NPP. Furthermore, we show that both physiological variation among species and
variation in climatic conditions are relevant for variation in
respiration and, consequently, N<inline-formula><mml:math id="M162" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions. Ecosystem-scale estimates of
N<inline-formula><mml:math id="M163" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions by lichens and bryophytes should therefore include
sufficient ranges of species and climatic conditions to avoid biased results.
Our results build on the empirical finding that N<inline-formula><mml:math id="M164" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions by lichens
and bryophytes are linearly related to their respiration. This relationship
is relatively insensitive to climatic conditions and shows no large variation
between species. However, the relationship is based on closed-chamber
measurements. Therefore, it would be useful to perform online gas exchange
measurements of N<inline-formula><mml:math id="M165" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions and respiration to test the effect of
climatic conditions on the relationship between N<inline-formula><mml:math id="M166" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O release and
respiration. Furthermore, using alternative approaches to estimate N<inline-formula><mml:math id="M167" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O
emissions by lichens and bryophytes may be helpful to constrain our approach.</p><?xmltex \hack{\newpage}?>
</sec>

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

      <p>The non-vascular vegetation model LiBry used here is
combined with an interface for parallel computing which was developed at the
Max Planck Institute for Biogeochemistry, Jena, Germany. LiBry without the
interface is freely available as long as the names of the copyright holders and a
disclaimer are distributed along with the code in source or binary form. The
code is available from the corresponding author upon request.<?xmltex \hack{\newline}?>
Model output data which are presented as maps in this study are available as
netCDF files from the authors on request.</p>
  </notes><notes notes-type="authorcontribution">

      <p>Philipp Porada, Bettina Weber and Axel Kleidon designed the model simulations, and Philipp Porada carried them out.
Philipp Porada prepared the manuscript with contributions from all co-authors.</p>
  </notes><notes notes-type="competinginterests">

      <p>The authors declare that they have no conflict of
interest.</p>
  </notes><ack><title>Acknowledgements</title><p>This work has been supported by the PAGE21 project, grant agreement number
282700, funded by the EC Seventh Framework Programme theme FP7-ENV-2011, and
the CARBOPERM project, grant agreement number 03G0836B, funded by the BMBF
(German Ministry for Science and Education). The authors thank the Max Planck
Society (Nobel Laureate Fellowship for Bettina Weber) for financial support. The Max
Planck Institute for Biogeochemistry provided computational
resources.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?> Edited by: V.
Brovkin<?xmltex \hack{\newline}?> Reviewed by: two anonymous referees</p></ack><ref-list>
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    <!--<article-title-html>Estimating global nitrous oxide emissions by lichens and bryophytes with a process-based productivity model</article-title-html>
<abstract-html><p class="p">Nitrous oxide is a strong greenhouse gas and atmospheric ozone-depleting
agent which is largely emitted by soils. Recently, lichens and bryophytes
have also been shown to release significant amounts of nitrous oxide. This
finding relies on ecosystem-scale estimates of net primary productivity of
lichens and bryophytes, which are converted to nitrous oxide emissions by
empirical relationships between productivity and respiration, as well as
between respiration and nitrous oxide release. Here we obtain an alternative
estimate of nitrous oxide emissions which is based on a global process-based
non-vascular vegetation model of lichens and bryophytes. The model quantifies
photosynthesis and respiration of lichens and bryophytes directly as a
function of environmental conditions, such as light and temperature. Nitrous
oxide emissions are then derived from simulated respiration assuming a fixed
relationship between the two fluxes. This approach yields a global estimate
of 0.27 (0.19–0.35) (Tg N<sub>2</sub>O) year<sup>−1</sup> released by lichens and
bryophytes. This is lower than previous estimates but corresponds to about
50 % of the atmospheric deposition of nitrous oxide into the oceans or
25 % of the atmospheric deposition on land. Uncertainty in our simulated
estimate results from large variation in emission rates due to both
physiological differences between species and spatial heterogeneity of
climatic conditions. To constrain our predictions, combined online gas
exchange measurements of respiration and nitrous oxide emissions may be
helpful.</p></abstract-html>
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