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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-18-135-2021</article-id><title-group><article-title>A climate-dependent global model of ammonia emissions <?xmltex \hack{\break}?>from chicken farming</article-title><alt-title>A climate-dependent global model of ammonia emissions from chicken farming</alt-title>
      </title-group><?xmltex \runningtitle{A climate-dependent global model of ammonia emissions from chicken farming}?><?xmltex \runningauthor{J.~Jiang et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Jiang</surname><given-names>Jize</given-names></name>
          <email>jize.jiang@ed.ac.uk</email>
        <ext-link>https://orcid.org/0000-0001-6985-490X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Stevenson</surname><given-names>David S.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4745-5673</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Uwizeye</surname><given-names>Aimable</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-0646-1292</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Tempio</surname><given-names>Giuseppe</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Sutton</surname><given-names>Mark A.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1342-2072</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>School of GeoSciences, The University of Edinburgh, Crew Building,
Alexander Crum Brown Road, <?xmltex \hack{\break}?>Edinburgh, EH9 3FF, UK</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Food and Agriculture Organization of the United Nations, Animal
Production and Health Division, <?xmltex \hack{\break}?> Viale delle Terme di Caracalla, 00153 Rome, Italy</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>UK Centre for Ecology and Hydrology, Edinburgh, Bush Estate,
Midlothian, Penicuik, EH26 0QB, UK</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Jize Jiang (jize.jiang@ed.ac.uk)</corresp></author-notes><pub-date><day>8</day><month>January</month><year>2021</year></pub-date>
      
      <volume>18</volume>
      <issue>1</issue>
      <fpage>135</fpage><lpage>158</lpage>
      <history>
        <date date-type="received"><day>25</day><month>May</month><year>2020</year></date>
           <date date-type="rev-request"><day>3</day><month>July</month><year>2020</year></date>
           <date date-type="rev-recd"><day>24</day><month>October</month><year>2020</year></date>
           <date date-type="accepted"><day>11</day><month>November</month><year>2020</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2021 Jize Jiang et al.</copyright-statement>
        <copyright-year>2021</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://bg.copernicus.org/articles/18/135/2021/bg-18-135-2021.html">This article is available from https://bg.copernicus.org/articles/18/135/2021/bg-18-135-2021.html</self-uri><self-uri xlink:href="https://bg.copernicus.org/articles/18/135/2021/bg-18-135-2021.pdf">The full text article is available as a PDF file from https://bg.copernicus.org/articles/18/135/2021/bg-18-135-2021.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e136">Ammonia (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>) has significant impacts on the environment, which can
influence climate and air quality and cause acidification and
eutrophication in terrestrial and aquatic ecosystems. Agricultural
activities are the main sources of NH<inline-formula><mml:math id="M2" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions globally. Emissions of NH<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> from chicken farming are highly dependent on climate, affecting
their environmental footprint and impact. In order to investigate the
effects of meteorological factors and to quantify how climate change affects these emissions, a process-based model, AMmonia–CLIMate–Poultry
(AMCLIM–Poultry), has been developed to simulate and predict temporal
variations in NH<inline-formula><mml:math id="M4" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions from poultry excretion, here focusing on
chicken farms and manure spreading. The model simulates the decomposition of uric acid to form total ammoniacal nitrogen, which then partitions into
gaseous NH<inline-formula><mml:math id="M5" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> that is released to the atmosphere at an hourly to daily
resolution. Ammonia emissions are simulated by calculating nitrogen and
moisture budgets within poultry excretion, including a dependence on
environmental variables. By applying the model with global data for
livestock, agricultural practice and meteorology, we calculate 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>
emissions from chicken farming on a global scale (0.5<inline-formula><mml:math id="M7" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> resolution).
Based on 2010 data, the AMCLIM–Poultry model estimates NH<inline-formula><mml:math id="M8" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions
from global chicken farming of 5.5 <inline-formula><mml:math id="M9" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.2 Tg N yr<inline-formula><mml:math id="M10" 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>, about 13 % of the agriculture-derived NH<inline-formula><mml:math id="M11" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions. Taking account of partial control of the ambient environment for housed chicken (layers and broilers), the fraction of excreted nitrogen emitted as 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> is found to be up to 3 times larger in humid tropical locations than in cold or dry
locations. For spreading of manure to land, rain becomes a critical driver
affecting emissions in addition to temperature, with the emission fraction
being up to 5 times larger in the semi-dry tropics than in cold, wet
climates. The results highlight the importance of incorporating climate
effects into global NH<inline-formula><mml:math id="M13" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions inventories for agricultural sources. The model shows increased emissions under warm and wet conditions,
indicating that climate change will tend to increase NH<inline-formula><mml:math id="M14" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions over the coming century.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <?pagebreak page136?><p id="d1e277">Ammonia (NH<inline-formula><mml:math id="M15" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) is the primary form of reactive nitrogen (N<inline-formula><mml:math id="M16" display="inline"><mml:msub><mml:mi/><mml:mtext>r</mml:mtext></mml:msub></mml:math></inline-formula>), which has significant impacts on the environment (Galloway et al., 2003; Sutton et al., 2013). Following its emission to the atmosphere, 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> readily reacts with gas-phase acids to form particulate ammonium aerosols and may also condense onto existing particles (Fowler et al., 2009; Hertel et al., 2011). Gaseous NH<inline-formula><mml:math id="M18" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> reacts with sulfuric acid (H<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>SO<inline-formula><mml:math id="M20" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>) and nitric acid (HNO<inline-formula><mml:math id="M21" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>), which leads to the formation of ammonium sulfate ((NH<inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>SO<inline-formula><mml:math id="M23" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>) and ammonium nitrate (NH<inline-formula><mml:math id="M24" 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="M25" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) aerosols, respectively (Pinder et al., 2007, 2008; Hertel et al., 2011). These particles influence the radiation balance of the Earth, by scattering light and altering the Earth's reflectivity (Xu and Penner, 2012) and also adversely affect regional air quality and human health (Brunekreef and Holgate, 2002; Pinder et al., 2007, 2008). The lifetime of atmospheric NH<inline-formula><mml:math id="M26" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> is relatively short (hours to days), as it is removed rapidly by dry and wet deposition or converted to ammonium aerosols (Hendriks et al.,
2016). Consequently, it is usually removed close to its source. In
terrestrial ecosystems, acute exposure to NH<inline-formula><mml:math id="M27" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> can cause visible foliar
injury, reducing the vegetation's tolerance to pests and diseases, especially
for native plants and forests (Krupa, 2003; Stulen et al., 1998; Sutton et
al., 2011). Once deposited in water, NH<inline-formula><mml:math id="M28" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> can result in acidification
and eutrophication (Sutton et al., 2011). Excess N<inline-formula><mml:math id="M29" display="inline"><mml:msub><mml:mi/><mml:mtext>r</mml:mtext></mml:msub></mml:math></inline-formula> input causes algal blooms in vulnerable aquatic ecosystems, which harms local biodiversity.</p>
      <p id="d1e423">The dominant source of NH<inline-formula><mml:math id="M30" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emission is from agricultural activities,
including animal housing, manure storage and fertilizer usage for arable
lands and crops. In Western countries, approximately 80 %–90 % of
atmospheric releases are from agriculture (Sutton et al., 2000; Hertel et al., 2011); a major source of NH<inline-formula><mml:math id="M31" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emission is from livestock waste. Oenema et al. (2007) estimated that NH<inline-formula><mml:math id="M32" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions cause a loss of approximately 19 % of nitrogen from livestock housing and manure storage, with a further 19 % being lost following the land application of manure. Previous studies that quantified 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> emissions from livestock have made estimations mainly by empirical methods. Emission factors were used, assuming fixed values for nitrogen volatilization rates, varying by animal type and management practices. For example, Misselbrook et al. (2000) derived NH<inline-formula><mml:math id="M34" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emission factors for major animals under various farming practices in UK agriculture. The advantage of this method is the relative simplicity for calculations. However, these emission factors only include climatic effects to a small extent. Using a fixed number to describe the fraction of excreted nitrogen that volatilizes as NH<inline-formula><mml:math id="M35" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> does not always provide a realistic value under all environmental conditions and may cause large uncertainties in large-scale estimations (e.g. when considering global-scale estimates). Sommer and Hutchings (2001) reviewed a range of empirical models that were produced to predict NH<inline-formula><mml:math id="M36" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> volatilization from slurry application to land. These models have experiment-derived equations. However, only the effect of temperature and slurry dry matter content were studied, and the interactions between these parameters were not investigated.</p>
      <p id="d1e490">Another method for estimating NH<inline-formula><mml:math id="M37" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions from livestock is to use
process-based models based on a theoretical understanding of relevant
processes, building on foundations developed for field sources (Sutton et
al., 1995b; Nemitz et al., 2001; Móring et al., 2016). Pinder et al. (2004) developed a process-based model for simulating 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> emissions from dairy cows, and the modelled NH<inline-formula><mml:math id="M39" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> volatilization fraction from grazing, manure spreading and storage was shown to be reasonable compared to independent experimental data. Previous process-modelling efforts for bird sources have focused on native seabird populations (Riddick et al., 2016, 2018), using these as a natural laboratory to study the effect of global climate differences on NH<inline-formula><mml:math id="M40" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions, supported by a programme of measurements through different climates (Blackall et al., 2007; Riddick et al. 2012). Process-based models consider the effects of meteorological variation on the formation of NH<inline-formula><mml:math id="M41" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> from an N<inline-formula><mml:math id="M42" display="inline"><mml:msub><mml:mi/><mml:mtext>r</mml:mtext></mml:msub></mml:math></inline-formula> source, allowing the calculation of 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> emissions that vary temporally and spatially. They can be extended to investigate the influences of various environmental conditions. However, as more complicated parameterizations are included in process-based models, more detailed inputs are required, and a lack of input data may limit the model's ability to obtain better results.</p>
      <p id="d1e557">Ammonia emissions from animal waste are understood to be highly climate sensitive. For example, Sutton et al. (2013) showed a factor of 9 increase in emission rates between 5 and 25 <inline-formula><mml:math id="M44" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, with additional effects from humidity and precipitation (Riddick et al., 2017). Poultry numbers have increased roughly five-fold over the last 50 years (FAO, 2018), with chickens being the largest fraction. Global usage of poultry manure for land spreading increased from an estimated 5.0 Tg N yr<inline-formula><mml:math id="M45" 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 2000 to 6.3 Tg N yr<inline-formula><mml:math id="M46" 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 2010 (FAO, 2018). However, limited research has attempted to determine the magnitude of global NH<inline-formula><mml:math id="M47" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions from chicken farming whilst also considering climatic effects. In this study, a process-based model, AMmonia–CLIMate–Poultry (AMCLIM–Poultry), has been developed to simulate and predict temporal variations in NH<inline-formula><mml:math id="M48" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions from three major chicken production systems, namely (a) broilers, (b) layers and (c) backyard chicken, focusing on chicken housing and land spreading of manure. The overarching goals of this study are to develop a process-based model and to apply it at global scale, to produce improved NH<inline-formula><mml:math id="M49" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emission estimates under the influences of various meteorological factors and to estimate total NH<inline-formula><mml:math id="M50" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions and their distribution for the present-day (year 2010) for chicken farming globally. Future work will quantify the estimated response of NH<inline-formula><mml:math id="M51" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions to climate change, the potential for year-to-year variability and the implications for NH<inline-formula><mml:math id="M52" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions from other livestock sectors.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><label>Figure 1</label><caption><p id="d1e651">Schematic of the AMCLIM–Poultry model for estimating 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> emissions from global chicken farming, following nitrogen pathways from chicken farms to land spreading. Arrows represent the nitrogen flows from chicken farming. Aspects noted in dashed boxes are not investigated in this study.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://bg.copernicus.org/articles/18/135/2021/bg-18-135-2021-f01.png"/>

      </fig>

</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Methods and materials</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Model description</title>
      <p id="d1e684">Figure 1 shows the agricultural activities in which chicken litter is a source of NH<inline-formula><mml:math id="M54" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emission. Nitrogenous manure can be used as fertilizers on land or be stored for future use. Typically, litter collected from chicken houses is spread on arable lands at the start of planting period, while excretions from backyard systems are applied fresh to fields or left on pastures and other ground. Ammonia can be released to the atmosphere through each of these activities. In this study, we developed the process-based
AMCLIM–Poultry model to quantify NH<inline-formula><mml:math id="M55" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions from chicken farming,
focusing on housing and manure land spreading. For this purpose, it is
assumed in the model that emissions from stored manure occur within the
animal house (in-house storage) or do not behave significantly differently.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><label>Figure 2</label><caption><p id="d1e707">Schematic of NH<inline-formula><mml:math id="M56" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> volatilization in the poultry house. UA is
uric acid; TAN is total ammoniacal nitrogen; <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> is the resistance for
gaseous transfer from the litter surface to the in-house atmosphere (adapted
from Elliott and Collins, 1982).</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://bg.copernicus.org/articles/18/135/2021/bg-18-135-2021-f02.png"/>

        </fig>

      <p id="d1e736">The model has been developed from the GUANO model (Riddick et al., 2017)
that simulates 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> emissions from wild seabird colonies, which provides
a starting point for AMCLIM–Poultry. Both models simulate N<inline-formula><mml:math id="M59" display="inline"><mml:msub><mml:mi/><mml:mtext>r</mml:mtext></mml:msub></mml:math></inline-formula> through the decomposition processes that uric acid (UA; solid/aqueous phase) in excreta hydrolyses to form total ammoniacal nitrogen  (TAN <inline-formula><mml:math id="M60" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> NH<inline-formula><mml:math id="M61" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M62" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> NH<inline-formula><mml:math id="M63" 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>; aqueous phase), which then partitions to form gaseous 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> that is released to the atmosphere (Fig. 2). Major advances in the present study, using AMCLIM–Poultry compared with the GUANO model, include the following:
<list list-type="bullet"><list-item>
      <p id="d1e804">There is a distinction between indoor and outdoor simulations, which
represent different practices and production systems under different
environmental conditions (housing birds, manure spreading and backyard birds).</p></list-item><list-item>
      <p id="d1e808">The flow of nitrogen is conserved between the different stages of housing and
manure spreading following excretion, which reflects the reality that
nitrogen emitted as NH<inline-formula><mml:math id="M65" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> cannot be emitted again.</p></list-item><list-item>
      <p id="d1e821">A new approach is developed to simulate indoor emissions. Environmental
conditions of houses and a new parameterization for UA hydrolysis are
generalized from measurement data sets. Ammonia volatilized from the animal
waste at the surface is determined by a parameterized resistance term that
is derived from measurements.</p></list-item><list-item>
      <?pagebreak page138?><p id="d1e825">The land spreading of chicken manure is linked to the timing of agricultural
cropping cycles, which allows a better estimate of NH<inline-formula><mml:math id="M66" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions and
its temporal variations.</p></list-item></list>
We used chicken excretal nitrogen as an input (described in Sect. 2.4.1) and
incorporated meteorological factors to predict temporal variations in the
NH<inline-formula><mml:math id="M67" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions. The quantitative equations used in the model are
described below using SI units. The model was operated with an hourly time
step for outdoor simulations and a daily time step for indoor simulations.</p>
<sec id="Ch1.S2.SS1.SSS1">
  <label>2.1.1</label><title>Mass balance of nitrogen components</title>
      <p id="d1e855">The AMCLIM–Poultry model simulates masses for N-containing components (UA and TAN) within the chicken farming system (chicken houses, backyard chickens and chicken manure spreading) and flows between these pools (Fig. 1). The
mass per unit area of excretion (<inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mtext>excretion</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, g m<inline-formula><mml:math id="M69" 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>; all
model variables are described, with units, in the Appendix) over the time step <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula> is calculated following Eq. (1):
              <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M71" display="block"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mtext>excretion</mml:mtext></mml:msub><mml:mfenced open="(" close=")"><mml:mrow><mml:mi>t</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfenced><mml:mo>=</mml:mo><mml:msub><mml:mi>M</mml:mi><mml:mtext>excretion</mml:mtext></mml:msub><mml:mfenced open="(" close=")"><mml:mi>t</mml:mi></mml:mfenced><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>e</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mtext>N</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>t</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>e</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (all nitrogen flows have units of g N 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> s<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>) is the total nitrogen excretion rate from chicken, and <inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mtext>N</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (g N g excretion<inline-formula><mml:math id="M76" 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 the nitrogen content of excretion. The evolution of UA mass (<inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mtext>UA</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>; all nitrogen pool masses have units of g N m<inline-formula><mml:math id="M78" 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>) is calculated following Eq. (2):
              <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M79" display="block"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mtext>UA</mml:mtext></mml:msub><mml:mfenced close=")" open="("><mml:mrow><mml:mi>t</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfenced><mml:mo>=</mml:mo><mml:msub><mml:mi>M</mml:mi><mml:mtext>UA</mml:mtext></mml:msub><mml:mfenced close=")" open="("><mml:mi>t</mml:mi></mml:mfenced><mml:mo>+</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mtext>e</mml:mtext></mml:msub><mml:msub><mml:mi>f</mml:mi><mml:mtext>UA</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mtext>TAN</mml:mtext></mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>t</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mtext>UA</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the UA fraction in the excretion, and <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>TAN</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the flux of TAN that is decomposed from UA hydrolysis.</p>
      <p id="d1e1110">Similarly, the mass of TAN (<inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mtext>TAN</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) is calculated following Eq. (3):
              <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M83" display="block"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mtext>TAN</mml:mtext></mml:msub><mml:mfenced close=")" open="("><mml:mrow><mml:mi>t</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfenced><mml:mo>=</mml:mo><mml:msub><mml:mi>M</mml:mi><mml:mtext>TAN</mml:mtext></mml:msub><mml:mfenced close=")" open="("><mml:mi>t</mml:mi></mml:mfenced><mml:mo>+</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mtext>TAN</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:msub><mml:mtext>NH</mml:mtext><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>t</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow class="chem"><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> is the net rate of conversion of TAN to gaseous NH<inline-formula><mml:math id="M85" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> that is emitted to the atmosphere. All pools are set to zero when there is an emptying event for housing.</p>
</sec>
<sec id="Ch1.S2.SS1.SSS2">
  <label>2.1.2</label><title>Process-based simulation of nitrogen pathways</title>
      <p id="d1e1216">For each emission context (i.e. animal housing, backyard birds and manure
spreading), the AMCLIM–Poultry model includes three key steps, namely conversion of UA to TAN, equilibrium between aqueous phase TAN and gaseous 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> in the litter, and volatilization 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> from the litter surface to the atmosphere (Fig. 2). The hydrolysis of UA to TAN is strongly affected by temperature, the pH of the substrate and the relative humidity (RH) of the chicken house atmosphere (Elliott and Collins, 1982; Elzing and Monteny, 1997; Koerkamp, 1994). The production rate of TAN is determined from the UA mass and the conversion rate (<inline-formula><mml:math id="M88" display="inline"><mml:mi>K</mml:mi></mml:math></inline-formula>), which is a function of these three factors as follows:
              <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M89" display="block"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>TAN</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi>M</mml:mi><mml:mtext>UA</mml:mtext></mml:msub><mml:msub><mml:mi>K</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>T</mml:mi><mml:mo>,</mml:mo><mml:mtext>pH</mml:mtext><mml:mo>,</mml:mo><mml:mtext>RH</mml:mtext><mml:mo>)</mml:mo></mml:mrow></mml:msub><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
            The maximum estimated production rate is 20 % d<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> at 35 <inline-formula><mml:math id="M91" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, pH 9.0 and RH 80 % (Elliot and Collins, 1982). The combined influence of these three factors is the product of a series of conversion rate functions, as follows:
              <disp-formula id="Ch1.E5" content-type="numbered"><label>5</label><mml:math id="M92" display="block"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>T</mml:mi><mml:mo>,</mml:mo><mml:mtext>pH</mml:mtext><mml:mo>,</mml:mo><mml:mtext>RH</mml:mtext><mml:mo>)</mml:mo></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mn mathvariant="normal">0.2</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi>k</mml:mi><mml:mtext>pH</mml:mtext></mml:msub><mml:msub><mml:mi>k</mml:mi><mml:mi>T</mml:mi></mml:msub><mml:msub><mml:mi>k</mml:mi><mml:mtext>RH</mml:mtext></mml:msub><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
            Gas phase NH<inline-formula><mml:math id="M93" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, held within the litter pore spaces, is in equilibrium
with TAN that depends upon the litter pH and temperature response of
combined Henry and disassociation equilibria (Eq. 6; Nemitz et al., 2000). The gas phase concentration of NH<inline-formula><mml:math id="M94" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in air (<inline-formula><mml:math id="M95" display="inline"><mml:mi mathvariant="italic">χ</mml:mi></mml:math></inline-formula>) at the surface is proportional to the aqueous phase ratio  <inline-formula><mml:math id="M96" display="inline"><mml:mi mathvariant="normal">Γ</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M97" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> [<inline-formula><mml:math id="M98" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:msup><mml:mi mathvariant="normal">H</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> of the chicken litter, which is calculated from Eqs. (6) and (7) as follows:

                  <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M99" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E6"><mml:mtd><mml:mtext>6</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi mathvariant="italic">χ</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>=</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mn mathvariant="normal">161</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">500</mml:mn></mml:mrow><mml:mi>T</mml:mi></mml:mfrac></mml:mstyle><mml:mi>exp⁡</mml:mi><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">378</mml:mn></mml:mrow><mml:mi>T</mml:mi></mml:mfrac></mml:mstyle></mml:mfenced><mml:mi mathvariant="normal">Γ</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E7"><mml:mtd><mml:mtext>7</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><?xmltex \hack{\hbox\bgroup\fontsize{9.0}{9.0}\selectfont$\displaystyle}?><mml:mi mathvariant="normal">Γ</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mfenced open="[" close="]"><mml:mrow><mml:msubsup><mml:mtext>NH</mml:mtext><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:mfenced></mml:mrow><mml:mrow><mml:mfenced close="]" open="["><mml:mrow><mml:msup><mml:mrow class="chem"><mml:mi mathvariant="normal">H</mml:mi></mml:mrow><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:mfenced></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mfenced open="[" close="]"><mml:mtext>TAN</mml:mtext></mml:mfenced></mml:mrow><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mrow><mml:msubsup><mml:mtext>NH</mml:mtext><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mo>[</mml:mo><mml:msup><mml:mrow class="chem"><mml:mi mathvariant="normal">H</mml:mi></mml:mrow><mml:mo>+</mml:mo></mml:msup><mml:mo>]</mml:mo></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mtext>TAN</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mrow><mml:msubsup><mml:mtext>NH</mml:mtext><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mo>[</mml:mo><mml:msup><mml:mrow class="chem"><mml:mi mathvariant="normal">H</mml:mi></mml:mrow><mml:mo>+</mml:mo></mml:msup><mml:mo>]</mml:mo></mml:mrow></mml:mfenced></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo><?xmltex \hack{$\egroup}?></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

              where <inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (mL m<inline-formula><mml:math id="M101" 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>) is the volume of water in the litter, and <inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the dissociation constant of NH<inline-formula><mml:math id="M103" 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>. Ammonia volatilizes to the atmosphere from the surface at a rate (<inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow class="chem"><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>) that can be determined by assuming a resistance type model, i.e. using gas concentrations at two vertical levels constrained by a set of resistances (Sutton et al., 2013), which is calculated from Eq. (6) as follows:
              <disp-formula id="Ch1.E8" content-type="numbered"><label>8</label><mml:math id="M105" display="block"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="italic">χ</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mtext>o'</mml:mtext></mml:msub><mml:mo>)</mml:mo><mml:mo>-</mml:mo><mml:mi mathvariant="italic">χ</mml:mi><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo><mml:mo>]</mml:mo></mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mtext>a</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mtext>b</mml:mtext></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:mi mathvariant="italic">χ</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mtext>o'</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) represents the concentration at the surface, and <inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:mi mathvariant="italic">χ</mml:mi><mml:mo>(</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula>) represents the concentration at a reference height. Equation (7) is the general formula. For an in-house application of the model, <inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:mi mathvariant="italic">χ</mml:mi><mml:mo>(</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula>) is taken as representative of well-mixed indoor concentrations of NH<inline-formula><mml:math id="M109" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in the chicken house. For an outdoor application of the model, the reference height is taken 10 m above ground. <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>b</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> are the
aerodynamic and boundary layer resistances, respectively. This broad
resistance approach is applicable for manure spread in the field and is also
applied for backyard birds. For resistance in the chicken houses, a modified
approach is needed, as described in Sect. 2.2.2.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Simulations for chicken housing</title>
      <p id="d1e1810">Figure 2 illustrates the process pathways through which NH<inline-formula><mml:math id="M112" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> volatilizes
from the N-rich chicken excretion to the exterior atmosphere. We assumed that 60 % of excreted nitrogen is in the form of UA (<inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mtext>UA</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula>), which accounts for approximately 3 %–8 % of the chicken excretion
(Nahm, 2003). The<?pagebreak page139?> remaining 40 % of excreted nitrogen is assumed to be from other forms that do not lead to significant NH<inline-formula><mml:math id="M114" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions. Uric acid accumulates in the litter of the chicken house until it converts to TAN by bacterial ammonification, with TAN concentrations in equilibrium with the litter pore space concentration of gaseous NH<inline-formula><mml:math id="M115" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. Ammonia is then emitted from the surface, which builds up the indoor NH<inline-formula><mml:math id="M116" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> levels within the house through mixing. Meanwhile, as the indoor NH<inline-formula><mml:math id="M117" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> must be controlled below a certain level, ventilation continuously removes NH<inline-formula><mml:math id="M118" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and brings fresh air, which dilutes the NH<inline-formula><mml:math id="M119" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations.</p>
      <p id="d1e1892">We used the monitored data from animal feeding operations (AFOs, 2012) to
simulate site-specific NH<inline-formula><mml:math id="M120" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions from chicken houses. The data were
gathered by the US Environmental Protection Agency (EPA) as a study of
emissions from different types of livestock from 2007 to 2010 (Cortus et al.,
2010; Jin-Qin Ni et al., 2010; Wang et al., 2010). As shown in Table S1
(Supplement Sect. S1), two broiler houses and four layer houses from three
US farms at different sites were selected for this study. We used daily mean
animal data, environmental data and indoor NH<inline-formula><mml:math id="M121" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations
(measured at 2–2.5 m above the ground; representative of well-mixed air in
the chicken house) from these sites. Animal data included bird numbers, body
weight and biomaterial data for each house. Environmental data included
temperature, relative humidity for natural (outdoor) and indoor conditions
and the interior ventilation given as an airflow rate in m<inline-formula><mml:math id="M122" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M123" 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 filled up missing environmental data to keep simulations continuous by
using a linear interpolation method when measurements were unavailable.
Excreted nitrogen was determined from the animal data and was used as an
input to the model, together with the indoor environmental data. As the
AMCLIM–Poultry model does not simulate evaporation from litter in houses, we
determined the excretion water content (<inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mo>(</mml:mo><mml:mtext>e</mml:mtext><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>; g m<inline-formula><mml:math id="M125" 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>) based on the equilibrium moisture content (<inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mtext>E</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>; %) of the litter, which is calculated from Eq. (7) as follows:
            <disp-formula id="Ch1.E9" content-type="numbered"><label>9</label><mml:math id="M127" display="block"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mfenced close=")" open="("><mml:mtext>e</mml:mtext></mml:mfenced><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mtext>E</mml:mtext></mml:msub></mml:mrow><mml:mn mathvariant="normal">100</mml:mn></mml:mfrac></mml:mstyle><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>⋅</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>M</mml:mi><mml:mtext>excretion</mml:mtext></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mtext>E</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is calculated following the Eq. (8):
            <disp-formula id="Ch1.E10" content-type="numbered"><label>10</label><mml:math id="M129" display="block"><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mtext>E</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:msup><mml:mfenced close="]" open="["><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>-</mml:mo><mml:mi>ln⁡</mml:mi><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mtext>RH</mml:mtext><mml:mn mathvariant="normal">100</mml:mn></mml:mfrac></mml:mstyle><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mn mathvariant="normal">0.0000534</mml:mn><mml:mo>×</mml:mo><mml:mi>T</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mstyle scriptlevel="+1"><mml:mfrac><mml:mn mathvariant="normal">1</mml:mn><mml:mn mathvariant="normal">1.41</mml:mn></mml:mfrac></mml:mstyle></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where RH (in percent) is the relative humidity, and <inline-formula><mml:math id="M130" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> (K) is the temperature (Elliott and Collins, 1982). Equation (10) is based on the hygroscopicity of chicken litter and accounts for the moisture absorbed by the litter as it reaches an equilibrium state, which is dependent on temperature and RH.</p>
<sec id="Ch1.S2.SS2.SSS1">
  <label>2.2.1</label><title>Parameterization of UA hydrolysis rate for chicken housing</title>
      <p id="d1e2100">The hydrolysis of UA to TAN plays a crucial role in affecting NH<inline-formula><mml:math id="M131" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
emissions. The rate of conversion of UA to TAN is often the rate-limiting
process that determines the overall rate of conversion of nitrogen excreted
by chickens into 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> emissions. The parameterization of UA to TAN
conversion is therefore very important for the overall model performance.</p>
      <p id="d1e2121">In the study of Elliott and Collins (1982), a chicken litter model was used
to investigate the UA hydrolysis rate. They set the base level conversion
rate to 20 % over a 24 h period under optimal conditions (pH <inline-formula><mml:math id="M133" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 9; <inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">35</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M135" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C; RH <inline-formula><mml:math id="M136" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 80 %), and then produced empirical
functions to account for the influence of these three factors. In order to
evaluate the validity of these empirical functions, specifically temperature
and RH effects, we analysed the AFO measurements for two layer houses from
the US EPA data set (Table S1), starting from the date that the litter was
cleaned out from the houses. We assumed an equilibrium state between the
production of TAN and NH<inline-formula><mml:math id="M137" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions. It should be noted that the
equilibrium state does not always apply, but it is a useful assumption for
parameterization, and the introduced uncertainty is discussed in Sect. 4.1.1. The temperature dependence was derived from measurements when RH was
over 80 %, and the RH dependence was derived from measurements that were
normalized by the temperature dependence.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><?xmltex \currentcnt{3}?><label>Figure 3</label><caption><p id="d1e2170">Factors affecting UA hydrolysis rate in chicken houses. Red curves
represent the results from Elliott and Collins (1982). Blue curves represent
results from this study, using data from the 2012 monitored animal feeding operations (AFOs; see Sect. 2.2.1). <bold>(a)</bold> Influence of temperature on UA hydrolysis. <bold>(b)</bold> Influence of relative humidity (RH) on UA hydrolysis at optimum temperature condition (<inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">35</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M139" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C). The dashed line is the extrapolation of factor RH as a function of RH due to a lack of data when relative humidity was below 40 % in the AFO experiments.</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://bg.copernicus.org/articles/18/135/2021/bg-18-135-2021-f03.png"/>

          </fig>

      <p id="d1e2205">The temperature and RH dependence of the UA hydrolysis rate derived from using the AFO-monitored data are shown in Fig. 3, where they are compared to
functions from Elliott and Collins (1982). The new temperature dependence
follows an exponential relationship and is normalized to the maximum rate
at 35 <inline-formula><mml:math id="M140" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C as follows:
              <disp-formula id="Ch1.E11" content-type="numbered"><label>11</label><mml:math id="M141" display="block"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi>T</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msup><mml:mtext>exp</mml:mtext><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">0.149</mml:mn><mml:mfenced open="(" close=")"><mml:mrow><mml:mi>T</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">273.15</mml:mn></mml:mrow></mml:mfenced><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.49</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:msup><mml:mtext>exp</mml:mtext><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">0.149</mml:mn><mml:mfenced close=")" open="("><mml:mn mathvariant="normal">35</mml:mn></mml:mfenced><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.49</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
            The new RH dependence increases linearly as RH increases, reaching the
maximum rate of one at RH 80 % as follows:
              <disp-formula id="Ch1.E12" content-type="numbered"><label>12</label><mml:math id="M142" display="block"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>RH</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mfenced close="" open="{"><mml:mtable class="array" columnalign="left"><mml:mtr><mml:mtd><mml:mrow><mml:mn mathvariant="normal">0.0125</mml:mn><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mtext>RH</mml:mtext><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.0014</mml:mn><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mtext>if</mml:mtext><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mn mathvariant="normal">0</mml:mn><mml:mo>&lt;</mml:mo><mml:mtext>RH</mml:mtext><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">80</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mtext>if</mml:mtext><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mtext>RH</mml:mtext><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">80</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>≤</mml:mo><mml:mtext>RH</mml:mtext><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mfenced></mml:mrow></mml:math></disp-formula>
            Within the range of RH 0 %–40 %, the function is
extrapolated due to the limited data at these conditions (Fig. 3b). The new
RH dependence is parameterized directly as a function of RH rather than the
excretion moisture content because it is envisaged that fresh excretion
reaches an moisture equilibrium within a few hours, and it is a representative simplification to use the RH data as the model is run on a daily time step.</p>
      <p id="d1e2354">We used the pH dependence for the range of 5.5 to 9.0 from the Elliott and
Collins (1982) study as follows:
              <disp-formula id="Ch1.E13" content-type="numbered"><label>13</label><mml:math id="M143" display="block"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>pH</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mn mathvariant="normal">1.34</mml:mn><mml:mo>(</mml:mo><mml:mtext>pH</mml:mtext><mml:mo>)</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7.2</mml:mn></mml:mrow><mml:mrow><mml:mn mathvariant="normal">1.34</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>(</mml:mo><mml:mn mathvariant="normal">9</mml:mn><mml:mo>)</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7.2</mml:mn></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
            A fixed pH of 8.5 that is the typical value of poultry manure (Elliott and
Collins, 1982; Sommer and Hutchings, 2001) was used for the simulations. We
did not include a dynamical scheme for determining pH influenced by the UA
hydrolysis (see Móring et al., 2016), which is a practicable
simplification for a global model.</p>
</sec>
<?pagebreak page140?><sec id="Ch1.S2.SS2.SSS2">
  <label>2.2.2</label><?xmltex \opttitle{Inversion of resistance within chicken houses to develop $R^{{\ast}}$ parameterization of chicken houses}?><title>Inversion of resistance within chicken houses to develop <inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> parameterization of chicken houses</title>
      <p id="d1e2422">The NH<inline-formula><mml:math id="M145" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> flux from an unvegetated surface to the atmosphere is mainly
constrained by two terms, namely aerodynamic resistance (<inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) and boundary layer resistance (<inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>b</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>; Wesely, 1989). Outdoors, both of these resistances are related to meteorological conditions and can be calculated. However, values of <inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>b</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> within chicken houses remain unknown due to the lack of knowledge of turbulence for indoor conditions. We estimated the overall indoor resistance, termed <inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, which includes <inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>b</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and also the resistance of litter, by inverting the measured AFO data. As shown by steps 4, 5 and 6 in Fig. 2, the interior 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> level within a chicken house is determined by the source flux from the litter surface and the removal flux through ventilation. Mathematically, the total flux of NH<inline-formula><mml:math id="M154" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>surface</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>; g N s<inline-formula><mml:math id="M156" 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>) from the surface is expressed as Eq. (12) in the following:
              <disp-formula id="Ch1.E14" content-type="numbered"><label>14</label><mml:math id="M157" display="block"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>surface</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi mathvariant="italic">χ</mml:mi><mml:mtext>surface</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">χ</mml:mi><mml:mtext>in</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mo>⋅</mml:mo><mml:mi>S</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">χ</mml:mi><mml:mtext>surface</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (g m<inline-formula><mml:math id="M159" 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>) is the in-house value of <inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:mi mathvariant="italic">χ</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mtext>o'</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, i.e. the gaseous 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> concentration at the litter
surface, and <inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">χ</mml:mi><mml:mtext>in</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (g m<inline-formula><mml:math id="M163" 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>) is the indoor NH<inline-formula><mml:math id="M164" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration of the house, assuming a complete mixing of air inside the chicken house. <inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (s m<inline-formula><mml:math id="M166" 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 the indoor resistance, and <inline-formula><mml:math id="M167" display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula> (m<inline-formula><mml:math id="M168" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>) is the surface area of the house. The NH<inline-formula><mml:math id="M169" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> removal (<inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>removal</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>; g N s<inline-formula><mml:math id="M171" 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>) through ventilation is expressed as Eq. (13) in the following:
              <disp-formula id="Ch1.E15" content-type="numbered"><label>15</label><mml:math id="M172" display="block"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>removal</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mi>Q</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">χ</mml:mi><mml:mtext>in</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">χ</mml:mi><mml:mtext>out</mml:mtext></mml:msub><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where  <inline-formula><mml:math id="M173" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">χ</mml:mi><mml:mtext>out</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (g m<inline-formula><mml:math id="M174" 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>) is the free-atmosphere NH<inline-formula><mml:math id="M175" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
concentration. <inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">χ</mml:mi><mml:mtext>out</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is set to be 0.3 <inline-formula><mml:math id="M177" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M178" 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>, which is normally much lower than the indoor concentration. <inline-formula><mml:math id="M179" display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula> (m<inline-formula><mml:math id="M180" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M181" 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>) represents the ventilation rate. Therefore, by mass conservation, we can relate indoor NH<inline-formula><mml:math id="M182" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations and the interior air volume <inline-formula><mml:math id="M183" display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula> (m<inline-formula><mml:math id="M184" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula>) to surface emissions and losses through ventilation as follows:
              <disp-formula id="Ch1.E16" content-type="numbered"><label>16</label><mml:math id="M185" display="block"><mml:mtable rowspacing="0.2ex" class="split" columnspacing="1em" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mi>V</mml:mi><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:msub><mml:mi mathvariant="italic">χ</mml:mi><mml:mtext>in</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mtext>surface</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>F</mml:mi><mml:mtext>removal</mml:mtext></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi mathvariant="italic">χ</mml:mi><mml:mtext>surface</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">χ</mml:mi><mml:mtext>in</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mo>⋅</mml:mo><mml:mi>S</mml:mi><mml:mo>-</mml:mo><mml:mi>Q</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi mathvariant="italic">χ</mml:mi><mml:mtext>in</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">χ</mml:mi><mml:mtext>out</mml:mtext></mml:msub></mml:mrow></mml:mfenced><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
            For inversion of <inline-formula><mml:math id="M186" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, we used the data for two layer houses at NC2B, which had clearly reported house-emptying dates and had fewer missing measurement data. The simulation period started from the day when the litter was cleaned out, and each nitrogen pool was re-initialized. We assumed the house reached a steady state (hence the left-hand side of Eq. (10) is zero) after a period of simulation for 3 d, and the term <inline-formula><mml:math id="M187" display="inline"><mml:mrow><mml:mi>Q</mml:mi><mml:msub><mml:mi mathvariant="italic">χ</mml:mi><mml:mtext>out</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> has been neglected due to its small magnitude. Subsequently, the resistance can be calculated from Eq. (15) as follows:
              <disp-formula id="Ch1.E17" content-type="numbered"><label>17</label><mml:math id="M188" display="block"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mo>∗</mml:mo></mml:msup><mml:mo>=</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">χ</mml:mi><mml:mtext>surface</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">χ</mml:mi><mml:mtext>in</mml:mtext></mml:msub><mml:mo>)</mml:mo><mml:mo>⋅</mml:mo><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:mi>Q</mml:mi><mml:msub><mml:mi mathvariant="italic">χ</mml:mi><mml:mtext>in</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
            To develop this parameterization, the gas phase NH<inline-formula><mml:math id="M189" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration at the
surface (<inline-formula><mml:math id="M190" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">χ</mml:mi><mml:mtext>surface</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) was simulated by the AMCLIM–Poultry model, and the NH<inline-formula><mml:math id="M191" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration within the house and ventilation were taken from the AFO-monitored data.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><?xmltex \opttitle{Simulations of NH${}_{{3}}$ emission from chicken manure spreading}?><title>Simulations of NH<inline-formula><mml:math id="M192" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emission from chicken manure spreading</title>
      <?pagebreak page141?><p id="d1e3116">Simulations for the spreading of chicken manure on fields followed the processes of nitrogen pathways, which are similar to the housing simulations.
Nevertheless, there are several key points that need to be clarified.
First, contrary to housing, the amount of water is calculated in a
different way, relative to the environmental conditions, which includes
rainfall, evaporation and run-off rather than only depending on litter
moisture. Second, run-off takes place during rain events and is a major
loss of nitrogen. Third, aerodynamic resistance (<inline-formula><mml:math id="M193" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) and boundary
layer resistance (<inline-formula><mml:math id="M194" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>b</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) that determine the magnitude of NH<inline-formula><mml:math id="M195" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
emissions are directly calculated from meteorological variables instead of
being parameterized (Nemitz et al., 2001; Seinfeld and Pandis, 2016; Riddick
et al., 2017). Details are given in Sect. S2. Fourth, we only simulate processes taking place in manure and do not simulate interactions with soils. We consider it reasonable, as chicken manure is mainly applied on the land surface because it is dry and not physically mixed with underlying soils based on the assumption of a simple application scenario. In addition,
simulating soil processes would require a much more detailed characterization of soil chemistry, which might only be achieved by using sophisticated land models that are beyond the scope of this study.</p>
      <p id="d1e3150">The amount of water in the litter (<inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, g m<inline-formula><mml:math id="M197" 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>) is calculated from the following:
            <disp-formula id="Ch1.E18" content-type="numbered"><label>18</label><mml:math id="M198" display="block"><mml:mtable class="split" columnspacing="1em" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mfenced close=")" open="("><mml:mrow><mml:mi>t</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfenced><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mfenced open="{" close=""><mml:mtable class="array" columnalign="left"><mml:mtr><mml:mtd><mml:mrow><?xmltex \hack{\hbox\bgroup\fontsize{7.5}{7.5}\selectfont$\displaystyle}?><mml:msub><mml:mi>M</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mfenced close=")" open="("><mml:mi>t</mml:mi></mml:mfenced><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>-</mml:mo><mml:msub><mml:mi>M</mml:mi><mml:mtext>available  water</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mfenced open="(" close=")"><mml:mtext>rain</mml:mtext></mml:mfenced><mml:mo>-</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mfenced open="(" close=")"><mml:mtext>evap</mml:mtext></mml:mfenced></mml:mrow></mml:mfenced><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>t</mml:mi><?xmltex \hack{$\egroup}?></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><?xmltex \hack{\hbox\bgroup\fontsize{8.0}{8.0}\selectfont$\displaystyle}?><mml:mo>+</mml:mo><mml:msub><mml:mi>M</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mfenced open="(" close=")"><mml:mtext>e</mml:mtext></mml:mfenced><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mtext>if</mml:mtext><?xmltex \hack{$\egroup}?></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><?xmltex \hack{\hbox\bgroup\fontsize{7.5}{7.5}\selectfont$\displaystyle}?><mml:msub><mml:mi>M</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mfenced close=")" open="("><mml:mi>t</mml:mi></mml:mfenced><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>-</mml:mo><mml:msub><mml:mi>M</mml:mi><mml:mtext>available  water</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mfenced open="(" close=")"><mml:mtext>rain</mml:mtext></mml:mfenced><mml:mo>-</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mfenced close=")" open="("><mml:mtext>evap</mml:mtext></mml:mfenced></mml:mrow></mml:mfenced><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>t</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn><?xmltex \hack{$\egroup}?></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><?xmltex \hack{\hbox\bgroup\fontsize{7.5}{7.5}\selectfont$\displaystyle}?><mml:msub><mml:mi>M</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mfenced close=")" open="("><mml:mtext>e</mml:mtext></mml:mfenced><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mtext>if</mml:mtext><?xmltex \hack{$\egroup}?></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><?xmltex \hack{\hbox\bgroup\fontsize{7.0}{7.0}\selectfont$\displaystyle}?><mml:msub><mml:mi>M</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mfenced open="(" close=")"><mml:mi>t</mml:mi></mml:mfenced><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>-</mml:mo><mml:msub><mml:mi>M</mml:mi><mml:mtext>available  water</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mfenced open="(" close=")"><mml:mtext>rain</mml:mtext></mml:mfenced><mml:mo>-</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mfenced close=")" open="("><mml:mtext>evap</mml:mtext></mml:mfenced></mml:mrow></mml:mfenced><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>t</mml:mi><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mo>,</mml:mo><?xmltex \hack{$\egroup}?></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
          where <inline-formula><mml:math id="M199" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mfenced close=")" open="("><mml:mtext>rain</mml:mtext></mml:mfenced></mml:mrow></mml:math></inline-formula> (g m<inline-formula><mml:math id="M200" 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="M201" 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
<inline-formula><mml:math id="M202" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mfenced close=")" open="("><mml:mtext>evap</mml:mtext></mml:mfenced></mml:mrow></mml:math></inline-formula> (g m<inline-formula><mml:math id="M203" 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="M204" 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>) are the rainfall and evaporation, respectively, and <inline-formula><mml:math id="M205" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mtext>available  water</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (g m<inline-formula><mml:math id="M206" 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="M207" 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 the water available for run-off. It should be noted that the amount of water in the manure should not be less than the excretion water content, which is the equilibrium moisture content dependent on environmental conditions.</p>
      <p id="d1e3605">In the model, the immediate run-off (<inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mtext>N-runoff</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>; g m<inline-formula><mml:math id="M209" 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>) is
derived from a run-off coefficient multiplied by the nitrogen pools as follows:
            <disp-formula id="Ch1.E19" content-type="numbered"><label>19</label><mml:math id="M210" display="block"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mtext>N-runoff</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mtext>runoff</mml:mtext></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mi>M</mml:mi><mml:mtext>N</mml:mtext></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where the <inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mtext>N</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (g m<inline-formula><mml:math id="M212" 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>) is the amount of each N-containing components, and <inline-formula><mml:math id="M213" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>runoff</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the run-off coefficient that is a function of the amount of water within the nitrogen pools available for run-off (<inline-formula><mml:math id="M214" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mtext>available  water</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>; millimetres) as follows:
            <disp-formula id="Ch1.E20" content-type="numbered"><label>20</label><mml:math id="M215" display="block"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>runoff</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>Q</mml:mi><mml:mtext>available  water</mml:mtext></mml:msub><mml:mo>⋅</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>r</mml:mi><mml:mtext>N</mml:mtext></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mtext>N</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (mm<inline-formula><mml:math id="M217" 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>) represents the wash-off factor, and constant
values of 1 % per millimetre and 0.5 % per millimetre were used for nitrogen and manure, respectively (Riddick et al., 2017). The amount of water available for run-off (<inline-formula><mml:math id="M218" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mtext>available  water</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, g m<inline-formula><mml:math id="M219" 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>) is determined by subtracting the water absorbed by the manure from rainfall as follows:
            <disp-formula id="Ch1.E21" content-type="numbered"><label>21</label><mml:math id="M220" display="block"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mtext>available  water</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mfenced open="(" close=")"><mml:mtext>rain</mml:mtext></mml:mfenced><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>t</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi>M</mml:mi><mml:mtext>excretion</mml:mtext></mml:msub><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
          The maximum amount of water that can be absorbed by the manure was assumed
to be 2 times the mass of excretion (Riddick et al., 2017).</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Global applications</title>
<sec id="Ch1.S2.SS4.SSS1">
  <label>2.4.1</label><title>Model input</title>
      <p id="d1e3839">We applied the AMCLIM–Poultry model at the global scale to quantify the
NH<inline-formula><mml:math id="M221" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions from global chicken farming. The model used the Food
and Agricultural Organization of the United Nations (FAO) global chicken density data and chicken excretion nitrogen data as input and was driven by the European Centre for Medium-Range Weather Forecasts (ECMWF) ERA5 hourly meteorological data (ERA5, 2018). The model was run at a resolution of <inline-formula><mml:math id="M222" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.5</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, with the global chicken density data and nitrogen data being regridded to fit the 0.5<inline-formula><mml:math id="M223" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> resolution.</p>
      <p id="d1e3880">The global population of chickens was based on the Food and Agriculture Organization Corporate Statistical Database (FAOSTAT) data for 2010. The geographic distribution was based on the Gridded Livestock of
the World (GLW) model, which produced density maps for the main livestock
species based on observed densities and explanatory variables such as
climatic data, land cover and demographic parameters (Robinson et al.,
2014). The chicken data were categorized into three production systems, namely broilers, layers and backyard chicken. Broilers and layers are major chicken types that are reared intensively in buildings and managed by farmers or livestock companies. The environment for rearing backyard chicken is varied, and the density is lower compared to broilers or layers. The distinction in the global distribution of backyard and intensive systems was based on Gilbert et al. (2015). Birds in the intensive systems were further
subdivided into broilers and layers, using the procedure developed for the
Global Livestock Environmental Assessment Model (GLEAM; FAO, 2018a). The GLEAM
approach was also used to produce the nitrogen excretion maps, which were
calculated as the difference between nitrogen intake and retention. The
total nitrogen intake depends on feed intake and nitrogen content of the
feed, while the retention is the amount of nitrogen that is retained in
birds' tissues, either as live weight gain or the production of eggs (FAO,
2018b).</p>
</sec>
<sec id="Ch1.S2.SS4.SSS2">
  <label>2.4.2</label><title>Global upscaling for chicken housing</title>
      <?pagebreak page142?><p id="d1e3891">In chicken farms, the inside conditions can be distinct from the natural
environment. The lower critical temperature for chicken (i.e. the minimum
managed temperature for optimum chicken performance) is approximately 16–20 <inline-formula><mml:math id="M224" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (Gyldenkærne et al., 2005), which is much higher than of other livestock, such as cattle and sheep. Intensively managed chicken are typically kept in insulated buildings with forced ventilation and heating systems to help maintain fixed temperature throughout the year as far as feasible (Seedorf et al., 1998). To keep the ambient temperature within a recommended range, the house may be heated or ventilated in relation to outdoor temperatures. Heating occurs on cold days when the temperature is low but not in other periods. Ventilation is to maintain a healthy condition for chickens' growth, and a minimum level is required, but the ventilation should also be below a certain rate to avoid an induced draft in the house
(Gyldenkærne et al., 2005).</p>
      <p id="d1e3903">For the modelling, the broilers and layers were assumed to be kept in buildings with adequate heating and ventilation systems. The density for
broilers and layers was assumed to be 15 and 30 birds per square metre, respectively (Cortus et al., 2010; Jin-Qin Ni et al., 2010; Krause and Schrader, 2019; Wang et al., 2010). The environmental parameters incorporated in the model are empirically derived from the indoor environment of chicken farms reported in the EPA data set. The housing temperature is determined by the generalized relationships between indoor and outdoor or natural temperatures, as shown in Fig. S1 (Sect. S3 in the Supplement), while the RH in the house is set to be identical to ambient RH as no obvious relationship was found according to the EPA data set. It is assumed that the temperature and ventilation rates of chicken houses are maintained as close as possible to a stable level throughout the day and are driven by the natural climatic conditions under local practice. There is no precipitable water in the house, so the water pool excludes precipitation and is purely related to the excretion moisture. The litter in chicken houses was assumed to be removed once a year. The housing simulation of the AMCLIM–Poultry model was operated at a daily time step for 2010, as the indoor conditions are derived from daily measurements. To calculate the varying impacts of emptying the chicken houses at different times of the year, we ran 12 different year-long simulations, each starting from a different month, i.e. from January to December, and assuming that the chicken house had just been emptied. The results were averaged and reported in this study.</p>
</sec>
<sec id="Ch1.S2.SS4.SSS3">
  <label>2.4.3</label><title>Global upscaling for chicken manure spreading</title>
      <p id="d1e3914">As shown in Fig. 1, manure from chicken farms is collected for spreading on
fields, leading to NH<inline-formula><mml:math id="M225" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions. Typically, fertilizing crops use
manure from local farms. Therefore, we assumed the amount of nitrogen from
chicken manure is only spread locally, and the simulations for each
grid cell are independent of the adjacent ones in terms of model input. This
assumption is considered to be valid at a <inline-formula><mml:math id="M226" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.5</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> resolution of the global model application (equivalent to 39 km <inline-formula><mml:math id="M227" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 55 km at 45<inline-formula><mml:math id="M228" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> latitude), though it cannot be
automatically assumed when modelling at finer scales. The available nitrogen
budgets were determined from the amount of nitrogen left, ensuring mass consistency to account for NH<inline-formula><mml:math id="M229" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emitted in the housing simulations.</p>
      <p id="d1e3971">It should be emphasized that the land spreading of chicken manure must only
take place in regions that have arable lands, and the amount of nitrogen
applied on the land should not exceed the total manure N application rates. To address these considerations, we compared the available amount of chicken
manure N (nitrogen left in manure after being lost as NH<inline-formula><mml:math id="M230" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> at housing
period) to the total amount of manure N for crops to identify places that
use chicken manure as fertilizer. Data of the total amount of manure N used
for crops and fertilizing areas were taken from West et al. (2014). We chose
six major crops for which chicken manure is an ideal fertilizer, including
barley, maize, potato, rice, sugar beet and wheat. We assumed that the chicken
manure is primarily applied to these six crops. For areas where available
chicken manure N does not exceed the total manure N application, we
calculated the nitrogen input for individual crops with Eq. (20) as follows:
              <disp-formula id="Ch1.E22" content-type="numbered"><label>22</label><mml:math id="M231" display="block"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>Crop_Poultry</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>N</mml:mi><mml:mtext>Available</mml:mtext></mml:msub><mml:mo>⋅</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>Crop</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>Total_Manure</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
            Conversely, for areas where available nitrogen input from chicken exceeds
the total manure N application, the nitrogen input is calculated from Eq. (21) as follows:
              <disp-formula id="Ch1.E23" content-type="numbered"><label>23</label><mml:math id="M232" display="block"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>Crop_Poultry</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>N</mml:mi><mml:mtext>Crop</mml:mtext></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M233" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>Crop_Poultry</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (g N m<inline-formula><mml:math id="M234" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the amount
of chicken manure N application for individual crops, <inline-formula><mml:math id="M235" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>Available</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (g N m<inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the amount of available chicken manure N, <inline-formula><mml:math id="M237" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>Crop</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (g N m<inline-formula><mml:math id="M238" 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>) is the amount of total nitrogen application for individual
crops, and <inline-formula><mml:math id="M239" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>Total_Manure</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (g N m<inline-formula><mml:math id="M240" 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>) is the amount of
total nitrogen application from manure for all crops. The excess nitrogen in
these areas was considered to be applied to other crops. In regions where
annual nitrogen applications are zero, we assumed the available chicken
manure N are untreated and left on land.</p>
      <p id="d1e4139">Planting and harvesting dates for crops are important parameters in the
model because they determine the meteorological conditions of the crop-growing period, which affects the temporal variations in NH<inline-formula><mml:math id="M241" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions from land spreading. Fertilizer applied to land or crops is dependent on the timing of agricultural activities rather than being spread frequently. As a result, the NH<inline-formula><mml:math id="M242" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions from fertilizer spreading usually shows strong seasonal variations due to the local farming practice. The AMCLIM–Poultry model incorporates the planting and harvesting dates from the Crop Calendar Dataset for the six major crops (Sacks et al., 2010). We
developed a relatively simple scenario for manure applications in which the
chicken manure was applied at the start of the planting period. The timing of
agricultural practices in the Southern Hemisphere is different from the
Northern Hemisphere. The planting activities usually start in November or
December, which means that partial NH<inline-formula><mml:math id="M243" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions in these regions
would occur in the next year. Similarly, manure spreading that took place in
the previous year can also result in emissions in the current year. Therefore, we ran the model for more than 1 year to keep an annual cycle of
simulation period for each grid. It should be emphasized that our model
scenario assumes a standard reference that all chicken manure is broadcast
on the surface of bare agricultural fields at the start of the cropping
cycle. Other future scenarios could<?pagebreak page143?> consider the effectiveness of management
practices in mitigating NH<inline-formula><mml:math id="M244" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions from the spreading of chicken manure (see Sect. 4.5).</p>
      <p id="d1e4178">As introduced in Sect. 2.4.1, backyard chickens are one of the major production systems included in the FAO chicken density data set. In comparison with broilers and layers, backyard chickens are reared in residential lots rather than in insulated houses. According to the FAO statistics, there are two general ways of dealing with excretion from backyard chickens, namely daily spreading and leaving it on pastures. Consequently, the simulations for NH<inline-formula><mml:math id="M245" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions from backyard chickens were set to be under natural environments. Data for excreted nitrogen from backyard chickens from the FAO data set were used as the nitrogen input to the model. The density was assumed to be four birds per square metre. The meteorological inputs were the same as those used in the simulations for chicken manure spreading for crops. The model was operated at an hourly time step for a period of 1 year as an initialization. The second-year simulation was for the study period of 2010.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Site simulations for chicken housing</title>
<sec id="Ch1.S3.SS1.SSS1">
  <label>3.1.1</label><title>Temperature of chicken houses</title>
      <p id="d1e4214">A generalized representation of the indoor temperatures of chicken housing was empirically derived from the AFO measurements from the three farms. The
relationships between indoor temperature and outdoor temperature of broiler
houses and layer houses are different (Fig. S1). In layer houses, temperature is considered to be primarily dependent to the outdoor temperature, while broiler houses' temperature is also related to broilers' body weights. The data for when broilers' body weight is less than 0.5 kg per bird are  excluded from the parameterization because (a) broilers that are smaller than this size do not contribute significantly to NH<inline-formula><mml:math id="M246" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions, and (b) houses are kept warmer than normal for the smallest chicks compared
to birds heavier than 0.5 kg. By excluding these data for small birds, a
much better relationship can be found between indoor and outdoor
temperatures (Fig. S1), which is also representative of the periods of
significant NH<inline-formula><mml:math id="M247" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions. In running the AMCLIM–Poultry model for
global upscaling, the same relationship from Fig. S1 is applied for all
weights of birds, including layers and broilers.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><label>Figure 4</label><caption><p id="d1e4237">Site simulations using a fixed resistance (<inline-formula><mml:math id="M248" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) value of 16 700 s m<inline-formula><mml:math id="M249" 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 House A at site NC2B, Nash, North Carolina, from 15 March 2008 to 15 March 2009. <bold>(a)</bold> Measured daily mean indoor temperature and airflow rate of the house. <bold>(b)</bold> Measured daily mean relative humidity of the house. <bold>(c)</bold> Modelled TAN pool and UA pool. The black dashed line indicates the house-emptying date of 9 April 2008. <bold>(d)</bold> Comparison between measured and modelled indoor NH<inline-formula><mml:math id="M250" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations of the house and surface NH<inline-formula><mml:math id="M251" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations. <bold>(e)</bold> Comparison between modelled 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> emissions and calculated NH<inline-formula><mml:math id="M253" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions from measured indoor concentrations. The simulation illustrated uses the new parameterization (based on the AFO data;
Fig. 3) for the relative humidity dependence of UA hydrolysis.</p></caption>
            <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://bg.copernicus.org/articles/18/135/2021/bg-18-135-2021-f04.png"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS1.SSS2">
  <label>3.1.2</label><title>Resistance within chicken houses and site simulations</title>
      <p id="d1e4329">The inversion-derived resistance within chicken houses, <inline-formula><mml:math id="M254" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, is presented in Figs. S2 to S5 (Sect. S4); strong daily variations can be
seen. The possible relationships of calculated <inline-formula><mml:math id="M255" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> values to temperature and ventilation rate were investigated. This showed no strong correlation with these indoor environmental variables (See Figs. S6 and S7). We simulated the total NH<inline-formula><mml:math id="M256" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions with various constant <inline-formula><mml:math id="M257" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> values throughout the year and compare the results to the measurements (Fig. S8). A fixed <inline-formula><mml:math id="M258" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> value of <inline-formula><mml:math id="M259" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 16 700 s m<inline-formula><mml:math id="M260" 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 found to provide the best result of <inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> for House A and  <inline-formula><mml:math id="M262" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 14 369 s m<inline-formula><mml:math id="M263" 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 House B at NC2B.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><label>Figure 5</label><caption><p id="d1e4438">The same as Fig. 4 but for simulations using a fixed resistance (<inline-formula><mml:math id="M264" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) value of 14 369 s m<inline-formula><mml:math id="M265" 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 House B at site NC2B, Nash, North Carolina, from 15 March 2008 to 15 March 2009. The black dashed line indicates the house-emptying date of 3 June 2008.</p></caption>
            <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://bg.copernicus.org/articles/18/135/2021/bg-18-135-2021-f05.png"/>

          </fig>

      <p id="d1e4470">Figures 4 and 5 show the simulated indoor 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> concentrations and
emissions compared to the measurements by assuming the fixed <inline-formula><mml:math id="M267" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> value of 167 00 and 14 369 s m<inline-formula><mml:math id="M268" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, respectively. Gaps shown in measured
concentrations and emissions of NH<inline-formula><mml:math id="M269" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> represent unavailable measurements,
while the model was kept running during gaps to produce a continuous output.
The model was able to capture the major changes throughout the simulation
period. During hot periods of the year, the temperature inside the house was
generally higher than the cold months, and ventilation rates reached the
maximum. High temperature led to large UA hydrolysis that increased the TAN
pool, which allows more NH<inline-formula><mml:math id="M270" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions. High ventilation rates accelerated the NH<inline-formula><mml:math id="M271" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> removal from the house, and the indoor concentration of NH<inline-formula><mml:math id="M272" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> decreased. The TAN pool of both houses accumulated and reached approximately 5 kg per square metre, while the UA pools were relatively
low due to the continuous conversion to TAN. Sharp declines in the UA pools
were seen (9 April 2008 in House A; 3 June 2008 in House B), linked
to the chicken houses being empty at these times (as shown by black dashed
lines) for approximately 3 weeks. The NH<inline-formula><mml:math id="M273" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations at the
surface were much higher than the NH<inline-formula><mml:math id="M274" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations of the house
atmospheres in both houses. As a result, with sufficient TAN and large
differences between surface and air NH<inline-formula><mml:math id="M275" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration, NH<inline-formula><mml:math id="M276" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
emissions in the summer months were higher than in winter months. The model
overestimated NH<inline-formula><mml:math id="M277" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions from early April to early July and then
underestimated the emissions in September for House B. The discrepancies are
mainly caused by the use of a fixed housing resistance, <inline-formula><mml:math id="M278" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>. In reality, <inline-formula><mml:math id="M279" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> will vary with the environmental conditions within chicken houses. However, we consider it well justified to use a constant value of <inline-formula><mml:math id="M280" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in order to keep the overall fit of the data set to the measured emissions simple, which also simplifies the global application.</p>
</sec>
<sec id="Ch1.S3.SS1.SSS3">
  <label>3.1.3</label><title>Model sensitivity to temperature and relative humidity</title>
      <p id="d1e4629">To understand the effects of temperature and relative humidity on the
NH<inline-formula><mml:math id="M281" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> volatilization in chicken houses, we ran simulations under
idealized conditions. We used a configuration (i.e. animal number and house
size), the same as the NC2B House A, but set the temperature and relative
humidity to constant values throughout the whole year. A spin-up year run
was done prior to the experimental simulations.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><?xmltex \currentcnt{6}?><label>Figure 6</label><caption><p id="d1e4643">A conceptual 3D sketch of the NH<inline-formula><mml:math id="M282" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> volatilization rate (<inline-formula><mml:math id="M283" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) that is driven by temperature (<inline-formula><mml:math id="M284" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>) and relative humidity (RH). The surface plot is derived from a set of idealized steady-state simulations with zero precipitation to simulate dependences for emissions from chicken housing (see Sect. 2.2.1; shown using the new parameterizations for <inline-formula><mml:math id="M285" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> and RH).</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://bg.copernicus.org/articles/18/135/2021/bg-18-135-2021-f06.png"/>

          </fig>

      <?pagebreak page144?><p id="d1e4686">We tested the NH<inline-formula><mml:math id="M286" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> volatilization rate (<inline-formula><mml:math id="M287" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) under a domain with
temperature range of 15–35 <inline-formula><mml:math id="M288" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C and RH range of 20 %–100 %. Figure 6 shows an overall increase in <inline-formula><mml:math id="M289" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> from a low temperature and RH to a high temperature and RH regime. The highest <inline-formula><mml:math id="M290" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values reaching approximately 56 % were from high temperature and RH simulations. Figure 7a shows that the <inline-formula><mml:math id="M291" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> rates increase as temperature increases, and Fig. 7b also shows that the <inline-formula><mml:math id="M292" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> rates increase as RH increases but drop after RH exceeds 90 %.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><?xmltex \currentcnt{7}?><label>Figure 7</label><caption><p id="d1e4766">Curves that represent NH<inline-formula><mml:math id="M293" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> volatilization rate (<inline-formula><mml:math id="M294" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>)
for four different temperature and RH regimes based on annual idealized
simulations (see Fig. 6). <bold>(a)</bold> The NH<inline-formula><mml:math id="M295" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> volatilization rate (<inline-formula><mml:math id="M296" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) under dry (20 % RH) and wet (100 % RH)
conditions, respectively. <bold>(b)</bold> The NH<inline-formula><mml:math id="M297" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> volatilization rate (<inline-formula><mml:math id="M298" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) under 15 and 35 <inline-formula><mml:math id="M299" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, respectively. (See
Sect. 2.2.1; shown using the new parameterizations for temperature and RH).</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://bg.copernicus.org/articles/18/135/2021/bg-18-135-2021-f07.png"/>

          </fig>

</sec>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Site simulations for land spreading</title>
      <p id="d1e4860">We ran a set of simple site experiments for land spreading to quantify the
NH<inline-formula><mml:math id="M300" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> volatilization under different environmental conditions. The model
configurations of these simulations are given in detail in the Supplement Sect. S5. We compare the model results with reported measurements from<?pagebreak page145?> five
experimental studies (Lau et al., 2008; Marshall et al., 1998; Miola et al., 2014; Rodhe and Karlsson, 2002; Sharpe et al., 2004). There are three groups of comparisons that represent different simulation and measurement duration at 7, 14 and 21 d, respectively.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><?xmltex \currentcnt{8}?><label>Figure 8</label><caption><p id="d1e4874">Simulated fraction of total applied nitrogen that is lost as
NH<inline-formula><mml:math id="M301" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-N (<inline-formula><mml:math id="M302" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) as a function of air temperature (in degrees Celsius) by the AMCLIM–Poultry for simulating periods of 7, 14 and 21 d, and a comparison with experimental studies that measured NH<inline-formula><mml:math id="M303" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> N loss for 7, 14 and 21 d. Simulations are conducted for rain-free conditions, where shaded areas indicate the range for simulations from 20 % to 100 % relative humidity. The measured figure of 5 % volatilization at 27 <inline-formula><mml:math id="M304" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C by Sharpe et al. (2004) was associated with high precipitation not representative of these simulations.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://bg.copernicus.org/articles/18/135/2021/bg-18-135-2021-f08.png"/>

        </fig>

      <p id="d1e4921">As shown in Fig. 8, the simulated percentage of nitrogen excreted that is
volatilized as NH<inline-formula><mml:math id="M305" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M306" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) increases as temperature increases because of the faster UA hydrolysis rate in hotter conditions. The shaded
areas illustrate ranges of <inline-formula><mml:math id="M307" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> from simulations that use different RH values ranging from 20 % to 100 %, while the solid lines represent the mean <inline-formula><mml:math id="M308" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> rate for the range of RH values for each simulation period (7, 14 and 21 d). Compared with the experimental studies, the model application underestimates NH<inline-formula><mml:math id="M309" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> volatilization for the 21 d simulation and overestimates for the 14 d simulation. However, it is evident that these
experimental studies also show large variations, which we expect is especially due to meteorological variation within and between the experimental studies, such as rainfall or windy conditions. For example, at
a mean temperature of around 26 <inline-formula><mml:math id="M310" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C Sharpe et al. (2004) reported
<inline-formula><mml:math id="M311" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> of 23 % and 5 %, respectively. The latter value was caused by a rain event taking place 2 d after application,<?pagebreak page146?> explaining why the latter point appears low on Fig. 8, where the simulations are based on rain-free conditions. Overall, the model provides <inline-formula><mml:math id="M312" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> rates that fall within the range between <inline-formula><mml:math id="M313" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>×</mml:mo></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M314" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo></mml:mrow></mml:math></inline-formula> compared to the measurements. It should be noted that this is a very simple model experiment because the published experimental studies do not always fully describe environmental conditions, which limits the extent to which features of the AMCLIM–Poultry can be applied for comparison with the measured data sets.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9"><?xmltex \currentcnt{9}?><label>Figure 9</label><caption><p id="d1e5030">Simulated <bold>(a)</bold> annual global NH<inline-formula><mml:math id="M315" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions (Gg N yr<inline-formula><mml:math id="M316" 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>) from chicken housing in 2010. <bold>(b)</bold> Percentage of excreted nitrogen that volatilizes (<inline-formula><mml:math id="M317" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) as NH<inline-formula><mml:math id="M318" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> from chicken housing in 2010. The resolution is <inline-formula><mml:math id="M319" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.5</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>. For the simulation shown, the RH parameterization for UA hydrolysis is taken from Elliott and Collins (1984). Figure S9 shows the results of using the RH parameterization, based on new parameterization from AFO monitored data (for comparison).</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://bg.copernicus.org/articles/18/135/2021/bg-18-135-2021-f09.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><?xmltex \opttitle{NH${}_{{3}}$ emission from global chicken housing}?><title>NH<inline-formula><mml:math id="M320" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emission from global chicken housing</title>
      <p id="d1e5125">We used the polynomial fits shown in Fig. S1 and the constant <inline-formula><mml:math id="M321" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> values of 16 700 s m<inline-formula><mml:math id="M322" 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> as representative of all chicken houses for the simulation of global emissions. The estimate of NH<inline-formula><mml:math id="M323" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emission from global chicken housing in 2010 was 2.0 Tg N. This includes 1.3 Tg N emissions from broilers and 0.7 Tg N from layers. Figure 9 shows high emissions in Europe, India, China and Southeast Asia, with emission hot spots in eastern US, and the eastern part of South America. The total amount of nitrogen from chicken excretion was 9.0 Tg N in 2010. The volatilization rate, <inline-formula><mml:math id="M324" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, was estimated at 22 % overall for all NH<inline-formula><mml:math id="M325" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions from chicken housing globally. The value of <inline-formula><mml:math id="M326" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> for chicken housing was high across the tropics, reaching approximately 35 % (Fig. 9b). Regions with high NH<inline-formula><mml:math id="M327" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions mostly show high NH<inline-formula><mml:math id="M328" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> volatilization rates, especially in regions such as eastern China, Southeast Asia, and eastern US. As the <inline-formula><mml:math id="M329" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> value normalizes for chicken numbers, it more clearly shows the influence of climate than total NH<inline-formula><mml:math id="M330" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions. Figure 9b shows very small <inline-formula><mml:math id="M331" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values in dry areas (the Sahara, Australia, the Arabian Peninsula, Patagonia, central Asia and western North America), illustrating low humidity in these areas is estimated to limit UA hydrolysis, with the converse in humid areas (Amazonia, central Africa, Southeast Asia, etc.).</p>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><?xmltex \opttitle{NH${}_{{3}}$~emission from global chicken manure spreading}?><title>NH<inline-formula><mml:math id="M332" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emission from global chicken manure spreading</title>
<sec id="Ch1.S3.SS4.SSS1">
  <label>3.4.1</label><?xmltex \opttitle{NH${}_{{3}}$ emission from chicken manure application for crops}?><title>NH<inline-formula><mml:math id="M333" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emission from chicken manure application for crops</title>
      <?pagebreak page147?><p id="d1e5276">For the year 2010, the 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> emission from chicken manure application for
crops was 2.7 Tg N, with the <inline-formula><mml:math id="M335" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> value representing 39 % of the total nitrogen application to land of 7.0 Tg N. The nitrogen considered to be left untreated according to Sect. 2.4.3 was less than 50 Gg, which is only a small fraction compared to the amount of nitrogen applied to land. From simulations in this study, over 75 % of the NH<inline-formula><mml:math id="M336" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions were from applications for the major six crops specified in Sect. 2.4.3, while the rest were from applications for other crops (Table S2 in Sect. S7). Among the six crops, maize fertilizing contributed to the highest emission of
676.3 Gg N, which is approximately one-third of the total amount. Fertilizing rice and wheat also led to 641.2 and 542.7 Gg N of emissions, respectively. Compared with maize, rice and wheat, crops of barley, potato and sugar beet had much smaller emissions due to a lower estimated total application of chicken manure to these crops (reflecting their smaller cropping areas and the chicken distribution). The NH<inline-formula><mml:math id="M337" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> volatilization of all six crop types exceeded 35 % (Table S2). The application for rice resulted in the highest <inline-formula><mml:math id="M338" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> of over 43 % (reflecting the warm and moist climate of rice cropping), while the application for barley and sugar beet had the lowest <inline-formula><mml:math id="M339" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values of 36 % (reflecting its distribution in cooler, temperate climates).</p>
      <p id="d1e5340">The geographical distribution of NH<inline-formula><mml:math id="M340" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions from chicken manure
application is presented in Fig. 10a. Similar to the chicken housing, high
emissions can be seen in Europe, the eastern Middle East and southern India, while extremely large NH<inline-formula><mml:math id="M341" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions exceeded 10 Gg N yr<inline-formula><mml:math id="M342" 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> over the eastern and central part of China and Southeast Asia, with hot spots in southeastern US, Mexico and eastern South America. These hot spots reflect a
combination of high chicken populations and high <inline-formula><mml:math id="M343" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values. Areas of the lowest <inline-formula><mml:math id="M344" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> are associated with cropping areas having the lowest rainfall, including western central North America, southern Africa and central Asia. Areas estimated to have no significant arable cropping (i.e. desert, boreal and tundra) are shown in white in Fig. 10.</p>
</sec>
<sec id="Ch1.S3.SS4.SSS2">
  <label>3.4.2</label><?xmltex \opttitle{NH${}_{{3}}$ emission from backyard chicken}?><title>NH<inline-formula><mml:math id="M345" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emission from backyard chicken</title>
      <p id="d1e5413">The global NH<inline-formula><mml:math id="M346" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emission from backyard chicken in 2010 was estimated at
0.7 Tg N from a total excreted nitrogen of 2.2 Tg. Backyard chicken density showed a different distribution compared with broilers and layers (Fig. S10 in  Sect. S8). This reflects the assessment in the FAO database
that backyard chickens are not kept in developed countries including Canada, the United States of America, western Europe, Australia and New Zealand, where all chickens are allocated to housed systems. The FAO database estimates that most backyard chickens occur in developing regions, such as the northern India and Africa. Geographically, the highest emissions from backyard chickens are here estimated to occur in the Ukraine, southern and southeastern Asia, with high emissions in the eastern coastal regions of South America and the southern part of West Africa. Figure 11b illustrates the geographic distribution of the percentage of nitrogen volatilized (<inline-formula><mml:math id="M347" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>). The volatilization rates of the vast majority of Asia were less than 24 %, while the tropics, including South Asia, had higher <inline-formula><mml:math id="M348" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> rates that reached 36 %. Possible reasons for the
different distribution of <inline-formula><mml:math id="M349" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> for backyard birds compared with manure application to crops are discussed in Sect. 4.2.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10"><?xmltex \currentcnt{10}?><label>Figure 10</label><caption><p id="d1e5460">Same as Fig. 9 but for chicken manure application for crops in
2010.</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://bg.copernicus.org/articles/18/135/2021/bg-18-135-2021-f10.png"/>

          </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e5473">Excreted nitrogen from housed and backyard chickens, and estimated
annual NH<inline-formula><mml:math id="M350" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions from each practice based on 2010 values.</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="left"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row>

         <oasis:entry colname="col1">Production</oasis:entry>

         <oasis:entry colname="col2">Total excreted</oasis:entry>

         <oasis:entry colname="col3">Practice</oasis:entry>

         <oasis:entry colname="col4">Total emission</oasis:entry>

         <oasis:entry colname="col5">Average</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1">system</oasis:entry>

         <oasis:entry colname="col2">nitrogen (Tg N)</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4">(Tg N)</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math id="M354" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (%)</oasis:entry>

       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>

         <oasis:entry colname="col1">Broiler and layer</oasis:entry>

         <oasis:entry rowsep="1" colname="col2" morerows="1">9.0 (<inline-formula><mml:math id="M355" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>

         <oasis:entry rowsep="1" colname="col3">Housing</oasis:entry>

         <oasis:entry rowsep="1" colname="col4">2.0 (<inline-formula><mml:math id="M356" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>

         <oasis:entry rowsep="1" colname="col5">22 (<inline-formula><mml:math id="M357" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:math></inline-formula>) %</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col3">Land spreading</oasis:entry>

         <oasis:entry colname="col4">2.7 (<inline-formula><mml:math id="M358" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>

         <oasis:entry colname="col5">39 (<inline-formula><mml:math id="M359" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:math></inline-formula>)<inline-formula><mml:math id="M360" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula> %</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1">Backyard chicken</oasis:entry>

         <oasis:entry colname="col2">2.2 (<inline-formula><mml:math id="M361" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>

         <oasis:entry colname="col3">Left on land</oasis:entry>

         <oasis:entry colname="col4">0.7 (<inline-formula><mml:math id="M362" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>

         <oasis:entry colname="col5">32 (<inline-formula><mml:math id="M363" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:math></inline-formula>) %</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Total</oasis:entry>

         <oasis:entry colname="col2">11.2 (<inline-formula><mml:math id="M364" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4">5.5 (<inline-formula><mml:math id="M365" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.2</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>

         <oasis:entry colname="col5">49 (<inline-formula><mml:math id="M366" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:math></inline-formula>) %</oasis:entry>

       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e5485"><inline-formula><mml:math id="M351" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula> Average <inline-formula><mml:math id="M352" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> for land spreading is based on the excreted nitrogen remaining (i.e. 7.0 Tg N) after <inline-formula><mml:math id="M353" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> volatilization from housing.</p></table-wrap-foot></table-wrap>

</sec>
</sec>
<?pagebreak page148?><sec id="Ch1.S3.SS5">
  <label>3.5</label><?xmltex \opttitle{Annual NH${}_{{3}}$ emission from global chicken farming}?><title>Annual NH<inline-formula><mml:math id="M367" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emission from global chicken farming</title>
      <p id="d1e5791">The estimated NH<inline-formula><mml:math id="M368" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions based on 2010 values are summarized in Table 1, and the geographic distribution is presented in Fig. 12. Overall, the total emission from global chicken farming was 5.5 Tg N yr<inline-formula><mml:math id="M369" 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>. Practice related to broilers and layers, including housing and manure application to crops, contributed 2.2 and 2.7 Tg N NH<inline-formula><mml:math id="M370" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions,
respectively, and backyard chicken manure caused 0.7 Tg N emissions.
Regions with high NH<inline-formula><mml:math id="M371" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions were found across Europe, India, and parts of China, with hot spots occurring in the eastern US and eastern South America. The distribution of <inline-formula><mml:math id="M372" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values reflects the combined effect of how environmental differences lead to variations in emissions from chicken
housing, manure spreading on arable land and from backyard birds.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11"><?xmltex \currentcnt{11}?><label>Figure 11</label><caption><p id="d1e5846">Same as Fig. 9 but for backyard chicken in 2010.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://bg.copernicus.org/articles/18/135/2021/bg-18-135-2021-f11.png"/>

        </fig>

      <p id="d1e5855">Figure 13 shows the NH<inline-formula><mml:math id="M373" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions from the three main components for
chickens (housing, crops and backyard) and summarizes the latitudinal difference in percentage volatilized. The highest emissions were identified to occur between 20 and 40<inline-formula><mml:math id="M374" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, reaching a total NH<inline-formula><mml:math id="M375" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emission of 2.5 Tg N. The lowest emissions accounted for 0.3 Tg N between 20 and 40 <inline-formula><mml:math id="M376" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>S. Manure application to crops was the largest fraction of
NH<inline-formula><mml:math id="M377" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions in the Northern Hemisphere, and its volatilization to
NH<inline-formula><mml:math id="M378" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was the highest among the three categories across the globe,
exceeding 35 %. The NH<inline-formula><mml:math id="M379" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> volatilization of housing and backyard
chickens were comparable, ranging between 20 % and 30 %. The smaller
degree in variation reflects the complex way in which water availability,
humidity and temperature interact to affect the overall percentage of
nitrogen volatilized, as illustrated by the maps.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12"><?xmltex \currentcnt{12}?><label>Figure 12</label><caption><p id="d1e5925">Simulated <bold>(a)</bold> annual global NH<inline-formula><mml:math id="M380" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions (Gg N yr<inline-formula><mml:math id="M381" 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>) from chicken agriculture in 2010. <bold>(b)</bold> Percentage of excreted nitrogen that volatilizes (<inline-formula><mml:math id="M382" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) as NH<inline-formula><mml:math id="M383" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> from chicken agriculture in 2010. The resolution is <inline-formula><mml:math id="M384" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.5</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://bg.copernicus.org/articles/18/135/2021/bg-18-135-2021-f12.png"/>

        </fig>

      <?pagebreak page149?><p id="d1e6002">Figure 14a shows the monthly NH<inline-formula><mml:math id="M385" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions from each sector. The highest
emissions of over 0.6 Tg N were estimated for April and August, while lowest estimated emissions were in November, December and January. This shows how the seasonal differences are larger for NH<inline-formula><mml:math id="M386" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions from manure
application than from animal houses, which is a result of both the climatic
effects and the temporal distribution of manure application, according to
the start of the main cropping seasons. From Fig. 14b, the NH<inline-formula><mml:math id="M387" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
volatilization from backyard chicken excretion varied more throughout the
year than for housing (linked to larger variations in temperature and water
availability). Emissions from backyard birds were higher than housing from
April to August, with the largest difference in July, and were lower than
housing from September to March. The highest estimated rate was 65 % in
July and the lowest rate was 12 % in January. The volatilization rates of
housing showed smaller variations, with <inline-formula><mml:math id="M388" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values mostly over 20 %, with the highest rate of 28 % occurring in August. It is worth noting that the volatilization rates of manure land spreading are not presented in the figure because simple monthly values do not reflect the true volatilization rate. Nitrogen being applied in the agricultural month will cause NH<inline-formula><mml:math id="M389" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions in the following months when no application practices take place.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F13"><?xmltex \currentcnt{13}?><label>Figure 13</label><caption><p id="d1e6054">Simulations for chicken housing, manure applications to crops and
land spreading of backyard chicken manure in 2010, given in regions. <bold>(a)</bold> Annual global NH<inline-formula><mml:math id="M390" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions (Tg N yr<inline-formula><mml:math id="M391" 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>). <bold>(b)</bold> Percentage of excreted nitrogen that volatilizes (<inline-formula><mml:math id="M392" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) as NH<inline-formula><mml:math id="M393" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://bg.copernicus.org/articles/18/135/2021/bg-18-135-2021-f13.png"/>

        </fig>

<?xmltex \hack{\newpage}?>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Model parameterization</title>
<sec id="Ch1.S4.SS1.SSS1">
  <label>4.1.1</label><title>UA hydrolysis in chicken housing</title>
      <p id="d1e6136">Figure 3 shows the parameterizations for UA hydrolysis in chicken houses
that are derived from AFO measurements and are taken from Elliott and
Collins (1982). The temperature dependences are comparable in that both
studies suggest an exponential correlation between the factor <inline-formula><mml:math id="M394" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> and indoor temperature. Overall, the factor <inline-formula><mml:math id="M395" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>, derived from using the AFO-monitored data in this study, was slightly larger than that from Elliott and Collins (1982). Within the temperature range of 18 to 28 <inline-formula><mml:math id="M396" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, the UA hydrolysis rate approximately doubled every 5 <inline-formula><mml:math id="M397" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, and an increasing 10 <inline-formula><mml:math id="M398" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C led to a more rapid hydrolysis rate by a factor of 4.4 and 5.2, based on the two studies, respectively. In contrast, the RH dependences were more different between the two studies. The new parameterization suggests a linear decline of factor RH as RH decreases below 80 %, so that the magnitudes of factor RH are much larger compared to Elliot and Collins (1982).</p>
      <p id="d1e6180">The results of the global housing simulations by using two parameterizations are presented in Fig. 9 (using RH parameterization from Elliot and Collins, 1982) and Fig. S9 (using the new RH parameterization based on Fig. 3 from the
monitored AFOs). The annual NH<inline-formula><mml:math id="M399" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions from housing in 2010 were
estimated at 3.0 Tg N, based on the new parameterization, giving 50 %
higher emissions than the<?pagebreak page150?> estimates of 2.0 Tg N that were obtained by using the equations from Elliott and Collins (1982). In principle, warmer and wetter conditions lead to an increase in <inline-formula><mml:math id="M400" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>. Increasing temperature accelerates the formation of TAN and increases the surface concentration of NH<inline-formula><mml:math id="M401" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, and the hydrolysis of UA is enhanced under high moisture environments. The temperature inside chicken houses in the AMCLIM–Poultry model is assumed to be controlled, especially in the houses in cold climate regions, where sufficient heating is assumed to be used to maintain healthy environments. Therefore, the variations in housing temperature were not as significant as the outdoor temperatures. Meanwhile, the houses prevent rain getting in, so the hydrolysis of UA and aqueous NH<inline-formula><mml:math id="M402" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration are solely restricted by the water content of the excretion, which is a function of RH. As a result, RH becomes the foremost factor that determined the NH<inline-formula><mml:math id="M403" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions by affecting the water availability of the system. It is notable that large differences between the two sets of global simulations (as shown in Figs. 9 and S9 in Sect. S6) occurred in dry regions, such as Northern Africa, the Middle East and Western Australia. Compared with the results of using the Elliott and Collins equations, the new parameterization suggests much higher NH<inline-formula><mml:math id="M404" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> volatilization in dry places. The substantial difference between the model simulations using the two RH parameterizations indicate the need for further data on this relationship. Additional measurement data sets, including both temperature and RH measurements and representing a wider range of environmental conditions, would help to strengthen and extend the relationships observed. The RH dependency of UA hydrolysis from Elliot and Collins (1982) was used for outdoor simulations including land spreading and backyard chickens, which have been previously tested and found to provide robust estimates from the GUANO model (Riddick et al., 2017).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F14"><?xmltex \currentcnt{14}?><label>Figure 14</label><caption><p id="d1e6242"><bold>(a)</bold> Monthly NH<inline-formula><mml:math id="M405" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions (Tg N yr<inline-formula><mml:math id="M406" 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>) from chicken housing, manure applications to crops and land spreading of backyard chicken manure in 2010. <bold>(b)</bold> Percentage of excreted nitrogen that volatilizes (<inline-formula><mml:math id="M407" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) as NH<inline-formula><mml:math id="M408" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> monthly for chicken housing and land spreading of backyard chicken manure.</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://bg.copernicus.org/articles/18/135/2021/bg-18-135-2021-f14.png"/>

          </fig>

      <p id="d1e6298">It must also be recognized that both the RH parameterizations shown in Fig. 3b have limitations. A more accurate parameterization of RH dependence might fall in the area between two curves in Fig. 3b. It can be seen from Figs. 4c and 5c that the TAN pool of each chicken house increased continuously throughout the simulation period rather than remaining approximately constant at some points. This indicates that the TAN produced exceeded the loss through NH<inline-formula><mml:math id="M409" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emission, which is against the assumption that the production of TAN is equivalent to the NH<inline-formula><mml:math id="M410" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emission. It is possible that the new RH dependence overestimated the rate of UA hydrolysis.
Meanwhile, from Figs. S4 and S5, by using Elliott and Collins' (1982)
equation, the modelled indoor concentration of NH<inline-formula><mml:math id="M411" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was much lower than
the measurements during the starting period of the simulations. This indicates an insufficient TAN pool that limited the emissions. Therefore, Elliott and Collins' (1982) parameterization probably underestimated the TAN production from UA hydrolysis, especially when each nitrogen pool was limited. In addition to the need for further data sets that relate NH<inline-formula><mml:math id="M412" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions from housed chicken to both indoor temperature and relative humidity, parallel measurements of the water, UA and TAN content and pH of different litter layers would be helpful for improving future parameterization.</p>
</sec>
<sec id="Ch1.S4.SS1.SSS2">
  <label>4.1.2</label><title>Implications for the idealized simulations</title>
      <p id="d1e6345">As shown in Figs. 6 and 7, it can be seen from dry simulations (i.e.
without precipitation) under idealized conditions for a whole year run that
the annual mean <inline-formula><mml:math id="M413" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> was relatively small and can drop to approximately zero when temperature is low. It indicates that the UA hydrolysis is hardly taking place. In contrast, the <inline-formula><mml:math id="M414" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> was much higher in hot and wet regimes, reflecting an effective hydrolysis of UA. It is notable that the <inline-formula><mml:math id="M415" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> declines at very high RH levels, using the new RH parameterization. This is mainly because the UA hydrolysis is  considered to be optimum at 80 % and higher RH, but the TAN concentration becomes lower as the excretion contains more water when the ambient environment is humid, thereby providing a diluting effect.</p>
      <p id="d1e6381">From Fig. 7a, the <inline-formula><mml:math id="M416" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> rate is seen to grow exponentially as a function of temperature for the 20 % RH simulations. It is similar to the impact of temperature on UA hydrolysis and also the Henry's law relationship.
Conversely, for a humid environment with RH at 100 %, there is a smaller
increase in <inline-formula><mml:math id="M417" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, showing a logarithmic-like trend. These differences are consistent with different amounts of TAN under the two cases. When there is sufficient TAN produced from the UA hydrolysis, the resistance can become
the key limiting factor to emissions from the system. Conversely, in
low-humidity environments, as the UA hydrolysis is limited, the produced TAN
is readily removed through the atmospheric release of NH<inline-formula><mml:math id="M418" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, with the total emission limited by the UA hydrolysis<?pagebreak page151?> rate. Therefore, the rise in
temperature under dry conditions provides a larger increase in NH<inline-formula><mml:math id="M419" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
emissions.</p>
      <p id="d1e6424">From Fig. 7b, it is worth noting that the decrease in <inline-formula><mml:math id="M420" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> occurs when the RH slightly exceeds 90 % rather than 80 %. A more obvious, sharp decline can be seen from the 15 <inline-formula><mml:math id="M421" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C simulations. As discussed,
there is a diluting effect on the TAN concentration when the RH is over
a certain level. The possible reason why this turning point does not occur
at 80 % RH, where the factor RH reaches the optimum, can be
summarized as follows. The <inline-formula><mml:math id="M422" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> rates in these simulations represent the integral of a whole year. The diluting of more water to dissolve TAN at
high RH affects the instantaneous emission without changing the amount of the
TAN pool. Low emissions in the earlier stage can therefore cause a larger
emission potential in the later stage due to accumulation of TAN.</p>
      <p id="d1e6458">The overall implication of these idealized simulations is to demonstrate the
close interplay between water availability and temperature, where
temperature always increases volatilization (partitioning in favour of the
gas phase), whereas a small amount of water is needed to facilitate UA
hydrolysis, increasing the NH<inline-formula><mml:math id="M423" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions, while excess water availability dilutes the TAN pool, thereby reducing NH<inline-formula><mml:math id="M424" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions. These same principles also apply for emissions from manure application to crops and for backyard birds, where precipitation and run-off become more important.</p>
</sec>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><?xmltex \opttitle{Spatial and temporal variations of NH${}_{{3}}$ emission}?><title>Spatial and temporal variations of NH<inline-formula><mml:math id="M425" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emission</title>
      <p id="d1e6498">The NH<inline-formula><mml:math id="M426" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emission from chicken agriculture differs substantially across
regions, both because of different chicken number distributions (Fig. S10),
as this affects total nitrogen excretion, and because of different
volatilization rates, as shown by the <inline-formula><mml:math id="M427" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values. The largest NH<inline-formula><mml:math id="M428" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emission is calculated for regions between 20 and 40<inline-formula><mml:math id="M429" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, which corresponds to the highest chicken density and associated manure
application to land. The animal number and the amount of nitrogen from
excretion have a first-order effect on the magnitude of emissions.
Considering the <inline-formula><mml:math id="M430" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, the most significant spatial variations relate to emissions from manure spreading and backyard chickens, with less spatial
variation in <inline-formula><mml:math id="M431" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> for housed birds as the indoor conditions are
considered to be largely controlled. The <inline-formula><mml:math id="M432" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> rates of backyard chicken excretion were much lower in China and Southeast Asia in comparison with manure land application because the wash off is a major loss of nitrogen
pools in these regions, especially during non-cropping periods when chicken
manure is not applied to land (according to our model approach), while
backyard birds lead to outdoor NH<inline-formula><mml:math id="M433" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions all year round (including
during non-cropping periods with high precipitation).</p>
      <p id="d1e6582">It should be noted that from the northern India to Tibet, the <inline-formula><mml:math id="M434" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> rate declines sharply from 40 % to below 6 % from all categories. This indicates that a sudden change from hot and wet conditions to cold and dry conditions causes the volatilization rate to drop dramatically in Tibet
compared with India. This example clearly illustrates how the fraction of
nitrogen volatilized as NH<inline-formula><mml:math id="M435" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> is strongly linked to meteorological and
related environmental conditions.</p>
      <p id="d1e6605">The AMCLIM–Poultry simulations also showed strong seasonal variations in
NH<inline-formula><mml:math id="M436" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions from manure land spreading and backyard chicken excretion. The seasonal distributions (as illustrated by Fig. 14) were caused by changes in meteorological conditions, with high NH<inline-formula><mml:math id="M437" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions in summer due to the high temperatures influencing NH<inline-formula><mml:math id="M438" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions from housing and backyard birds. Even larger seasonal differences are seen in the
modelled emission estimates for the land application of manure because this
combines both the direct effects of environmental variation (temperature and
water effect on <inline-formula><mml:math id="M439" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) with seasonal differences in the estimated timing of manure application to the land. Paulot et al. (2014) found that maximum NH<inline-formula><mml:math id="M440" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions from manure fertilizing can occur from April to September, depending on the local management. For example, they found that emission peaks in spring occurred in Europe, while summer emission peaks occurred in parts of the US and China. These differences reflect a combination of agricultural timing and the meteorological/environmental drivers (Hertel et al., 2011). Riddick et al. (2016) also showed the maximum emissions usually occur in April–June or July–September. The findings in present study are broadly consistent and demonstrate for the first time, on a global scale, how emissions from managed poultry (chicken) are dependent on both short-term meteorology and long-term regional climatic differences. Contrary to manure spreading and backyard birds, the seasonal variations in NH<inline-formula><mml:math id="M441" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions from chicken housing were much smaller due to the partly controlled environment and the assumed absence of precipitation/run-off within the houses.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e6669">Estimates of NH<inline-formula><mml:math id="M442" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions from poultry/chicken farming by the Integrated Database model for Agricultural emissions (IDA; Albrektsen et al., 2017) for Denmark, by the National Ammonia Reduction Strategy Evaluation System (NARSES; Misselbrook et al., 2011) for the United Kingdom, based on 2010 values, and by the National Emission Model for Ammonia (NEMA; Velthof et al., 2012) for the Netherlands, based on 2009<inline-formula><mml:math id="M443" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula> values. Ranges given in the <inline-formula><mml:math id="M444" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> housing represent the geographical variations across the country.</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="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Country</oasis:entry>
         <oasis:entry colname="col2">Ammonia emission from</oasis:entry>
         <oasis:entry colname="col3">Ammonia emission from</oasis:entry>
         <oasis:entry colname="col4">Total excreted N</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M446" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> housing</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">housing (Gg N yr<inline-formula><mml:math id="M447" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">spreading (Gg N yr<inline-formula><mml:math id="M448" 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">(Gg N yr<inline-formula><mml:math id="M449" 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">(%)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Denmark</oasis:entry>
         <oasis:entry colname="col2">3.0 (IDA)</oasis:entry>
         <oasis:entry colname="col3">Not available</oasis:entry>
         <oasis:entry colname="col4">11.3 (IDA)</oasis:entry>
         <oasis:entry colname="col5">26.5</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">1.7 (AMCLIM)</oasis:entry>
         <oasis:entry colname="col3">2.4 (AMCLIM)</oasis:entry>
         <oasis:entry colname="col4">7.9 (GLEAM)</oasis:entry>
         <oasis:entry colname="col5">21.5 (20.4–22.9)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">The Netherlands</oasis:entry>
         <oasis:entry colname="col2">11.4<inline-formula><mml:math id="M450" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula> (NEMA)</oasis:entry>
         <oasis:entry colname="col3">1.8<inline-formula><mml:math id="M451" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula> (NEMA)</oasis:entry>
         <oasis:entry colname="col4">62.9<inline-formula><mml:math id="M452" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula> (NEMA)</oasis:entry>
         <oasis:entry colname="col5">18.1<inline-formula><mml:math id="M453" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">10.0 (AMCLIM)</oasis:entry>
         <oasis:entry colname="col3">15.0 (AMCLIM)</oasis:entry>
         <oasis:entry colname="col4">49.0 (GLEAM)</oasis:entry>
         <oasis:entry colname="col5">20.4 (20.0–21.0)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">United</oasis:entry>
         <oasis:entry colname="col2">15.0 (NARSES)</oasis:entry>
         <oasis:entry colname="col3">14.7 (NARSES)</oasis:entry>
         <oasis:entry colname="col4">Not available</oasis:entry>
         <oasis:entry colname="col5">17.8</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Kingdom</oasis:entry>
         <oasis:entry colname="col2">17.4 (AMCLIM)</oasis:entry>
         <oasis:entry colname="col3">23.7 (AMCLIM)</oasis:entry>
         <oasis:entry colname="col4">84.1 (GLEAM)</oasis:entry>
         <oasis:entry colname="col5">20.7 (18.6–22.1)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e6701"><inline-formula><mml:math id="M445" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula> Based on 2009 values.</p></table-wrap-foot></table-wrap>

</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Comparison with other inventories and models</title>
      <p id="d1e6965">We compared the results from the AMCLIM–Poultry model to three other
(model-based) studies/reports from Denmark, the Netherlands and the United Kingdom, respectively. The Danish IDA model (Albrektsen et al., 2017)
and the UK NARSES model (Misselbrook et al., 2011) provided 2010 emission data, and the NEMA model (Velthof et al., 2012) from  the Netherlands provided estimate emissions from 2009 (see Table 2). All these studies
report emissions from poultry rather than chicken. It has been clearly
stated that the inputs used in the AMCLIM–Poultry from the GLEAM model and also used here are chicken data, which excluded other poultry such as turkeys, ducks, etc. Therefore, we can see that the excreted nitrogen from the GLEAM model (GLEAM; FAO, 2018) is generally smaller than other individual studies. For housing, the AMCLIM model shows similar estimates of NH<inline-formula><mml:math id="M454" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions to the other models. The housing emissions from this study are smaller than the local models in Denmark and the Netherlands, partly due to the smaller total excreted nitrogen from the animals. However, the AMCLIM<?pagebreak page152?> model suggests larger emissions from land spreading for the Netherlands and the UK (spreading-derived emissions are not available from the IDA model), especially in the Netherlands where the difference between the two estimates reaches eight times. This is probably due to the different schemes or assumptions for land spreading practices, e.g. deep injection of manure, in different models. The <inline-formula><mml:math id="M455" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> rates, which indicate the fraction of nitrogen that is emitted as NH<inline-formula><mml:math id="M456" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, are comparable from all models for the housing sector. The AMCLIM model suggests that the <inline-formula><mml:math id="M457" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> rates do not vary significantly between these countries because the indoor conditions are largely controlled and in similar climates, which leads to small variations in house environments.</p>
      <p id="d1e7008">In addition, we also compared our results with existing emission factors
(EFs). On a global average, the AMCLIM model estimated that the EFs for
broiler and layer housing are 0.13 and 0.10 kg of N per animal per year,
respectively. Combining with emissions from land application, the total EFs
are 0.30 and 0.27 kg of N per animal per year for broilers and layers,
and the EF for backyard chicken is 0.19 kg of N per animal per year.
Regionally, the AMCLIM model estimates that the UK have EFs of 0.13
(0.11–0.14) kg of N per animal per year for chicken housing and 0.30
(0.12–0.33) kg of N per animal per year for the total emission, compared
to 0.10 (0.06–0.15) for housing and 0.22 (0.15–0.30) for the total EF
reviewed by Sutton et al. (1995a). For Europe, the EFs estimated by the
AMCLIM model are 0.10 (0.01–0.16) and 0.09 (0.01–0.15) kg of N per animal per year for broiler and layer housing, and 0.15 (0.01–0.28) kg of N per animal per year for the followed land application. In comparison,
according to the European Monitoring and Evaluation Programme and European Environmental Agency (EMEP/EEA, 2019), EFs are 0.16 to 0.32 and 0.15 kg of N per animal per year for layer housing and consequent manure
application, while EFs for broiler housing and manure application are 0.13
and 0.04 kg of N per animal per year.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><?xmltex \currentcnt{3}?><label>Table 3</label><caption><p id="d1e7014">Sensitivity test for model parameters for global application of the
model.</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="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Parameter</oasis:entry>
         <oasis:entry colname="col2">Value tested</oasis:entry>
         <oasis:entry colname="col3">Value change</oasis:entry>
         <oasis:entry namest="col4" nameend="col5" align="center"><inline-formula><mml:math id="M464" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>NH<inline-formula><mml:math id="M465" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emission % </oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M466" display="inline"><mml:msup><mml:mi/><mml:mtext>a, b</mml:mtext></mml:msup></mml:math></inline-formula> Indoor resistance (<inline-formula><mml:math id="M467" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">16 700 s m<inline-formula><mml:math id="M468" 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> (base)</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M469" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>×</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry namest="col4" nameend="col5" align="center">0.0 % </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">8350 s m<inline-formula><mml:math id="M470" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M471" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>×</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">27.1 %<inline-formula><mml:math id="M472" display="inline"><mml:msup><mml:mi/><mml:mtext>a</mml:mtext></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">8.5 %<inline-formula><mml:math id="M473" display="inline"><mml:msup><mml:mi/><mml:mtext>a, b</mml:mtext></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">33 400 s m<inline-formula><mml:math id="M474" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M475" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M476" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">30.6</mml:mn></mml:mrow></mml:math></inline-formula> %<inline-formula><mml:math id="M477" display="inline"><mml:msup><mml:mi/><mml:mtext>a</mml:mtext></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M478" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6.4</mml:mn></mml:mrow></mml:math></inline-formula> %<inline-formula><mml:math id="M479" display="inline"><mml:msup><mml:mi/><mml:mtext>a, b</mml:mtext></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M480" display="inline"><mml:msup><mml:mi/><mml:mtext>a, b, c</mml:mtext></mml:msup></mml:math></inline-formula> Manure pH (H<inline-formula><mml:math id="M481" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">8.5 (base)</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M482" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>×</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry namest="col4" nameend="col5" align="center">0.0 % </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">7.5</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M483" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.1</mml:mn><mml:mo>×</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry namest="col4" nameend="col5" align="center"><inline-formula><mml:math id="M484" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">15.9</mml:mn></mml:mrow></mml:math></inline-formula> % </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">9.5</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M485" display="inline"><mml:mrow><mml:mn mathvariant="normal">10</mml:mn><mml:mo>×</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry namest="col4" nameend="col5" align="center">5.8 % </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M486" display="inline"><mml:msup><mml:mi/><mml:mtext>b, c</mml:mtext></mml:msup></mml:math></inline-formula> Run-off coefficient (<inline-formula><mml:math id="M487" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>runoff</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">1 % per millimetre (base)</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M488" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>×</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry namest="col4" nameend="col5" align="center">0.0 % </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">0.5 % per millimetre</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M489" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>×</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry namest="col4" nameend="col5" align="center">16.5 % </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">2 % per millimetre</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M490" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry namest="col4" nameend="col5" align="center"><inline-formula><mml:math id="M491" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11.8</mml:mn></mml:mrow></mml:math></inline-formula> % </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M492" display="inline"><mml:msup><mml:mi/><mml:mtext>a, b, c</mml:mtext></mml:msup></mml:math></inline-formula> Excreted nitrogen</oasis:entry>
         <oasis:entry colname="col2">11.2 Tg N yr<inline-formula><mml:math id="M493" 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> (base)</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M494" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>×</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry namest="col4" nameend="col5" align="center">0.0 % </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">10.1 Tg N yr<inline-formula><mml:math id="M495" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M496" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.9</mml:mn><mml:mo>×</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry namest="col4" nameend="col5" align="center"><inline-formula><mml:math id="M497" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12.3</mml:mn></mml:mrow></mml:math></inline-formula> % </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">12.3 Tg N yr<inline-formula><mml:math id="M498" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M499" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.1</mml:mn><mml:mo>×</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry namest="col4" nameend="col5" align="center">12.6 % </oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e7017"><inline-formula><mml:math id="M458" display="inline"><mml:msup><mml:mi/><mml:mtext>a</mml:mtext></mml:msup></mml:math></inline-formula> Parameters affecting NH<inline-formula><mml:math id="M459" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions from housing. <inline-formula><mml:math id="M460" display="inline"><mml:msup><mml:mi/><mml:mtext>b</mml:mtext></mml:msup></mml:math></inline-formula> Parameters affecting NH<inline-formula><mml:math id="M461" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions from land spreading of chicken manure. <inline-formula><mml:math id="M462" display="inline"><mml:msup><mml:mi/><mml:mtext>c</mml:mtext></mml:msup></mml:math></inline-formula> Parameters affecting NH<inline-formula><mml:math id="M463" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions from backyard chicken.</p></table-wrap-foot></table-wrap>

</sec>
<sec id="Ch1.S4.SS4">
  <label>4.4</label><title>Uncertainty and limitations</title>
      <p id="d1e7617">There is substantial uncertainty in modelling NH<inline-formula><mml:math id="M500" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions from
livestock farming. Here, we focus on discussing the uncertainty related to
model parameterizations. The model parameters may influence the emissions
interactively with non-linear consequences. We find that it is helpful to
conduct a sensitivity analysis by simulating the effect of the changes in
parameters on NH<inline-formula><mml:math id="M501" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions. By doing this, we are able to indicate the
ranges of uncertainty and also to highlight which parameters are most
important and need to be further investigated. Based on prior test, we find
that indoor resistance <inline-formula><mml:math id="M502" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, manure pH, run-off coefficient and amount of N excreted are most important, and we examine these in the sensitivity tests, with results summarized in Table 3. In addition, the uncertainty arising from the parameterization of UA hydrolysis is represented by the differences between Figs. 9 and S9.</p>
      <p id="d1e7649">It is worth noting that the ranges of the parameters are based on expert
judgement. Indoor resistance and run-off coefficients are considered to be
uncertain by a factor of 2, with manure pH uncertain by <inline-formula><mml:math id="M503" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>, which
corresponds to a factor of 10 for hydrogen ion concentrations. The nitrogen
excretion rate is considered to have an uncertainty of 10 %. The global
simulation of housing driven by varying indoor resistance values shows that <inline-formula><mml:math id="M504" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> that is two times higher leads to an NH<inline-formula><mml:math id="M505" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emission decrease by approximately 31 % and two times lower <inline-formula><mml:math id="M506" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> leads to 27 % higher emissions, which is similar to the result at the site scale (see Fig. S8). The <inline-formula><mml:math id="M507" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> values directly influence the magnitude of housing emissions but only to a limited extent. The <inline-formula><mml:math id="M508" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> values also impact NH<inline-formula><mml:math id="M509" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions from land spreading of chicken manure by limiting the available amount of nitrogen that is applied to land. In total, doubling <inline-formula><mml:math id="M510" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> leads to a reduction in NH<inline-formula><mml:math id="M511" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions by 6.4 %, and halving <inline-formula><mml:math id="M512" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> leads to an increase in emissions by 8.5 %. The manure pH, which affects the hydrolysis rate of UA and the chemical equilibria between NH<inline-formula><mml:math id="M513" 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 gaseous NH<inline-formula><mml:math id="M514" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, is found to have positive effect on NH<inline-formula><mml:math id="M515" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions so that emissions tend to increase as pH increases. We find that increasing pH from 8.5 to 9.5 causes annual NH<inline-formula><mml:math id="M516" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions<?pagebreak page153?> to
increase by 5.8 %, while a decrease in pH to 7.5 leads to a decline in
emissions by 15.9 %. The run-off coefficient was set to be 1 % per millimetre for nitrogen pools in the model (Riddick et al., 2017). By doubling the run-off coefficient, the NH<inline-formula><mml:math id="M517" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions decrease by 11.8 %, while decreasing the coefficient to half leads to emissions increasing by 16.5 %. It should be noted that, among these parameters, changing the manure pH has influences on both housing emissions (from broiler and layer housing) and outdoor emissions (spreading of broiler and layer manure; backyard chicken manure). The run-off coefficient only affects the outdoor emissions, while indoor resistances limit housing emissions directly but also have impacts on consequent outdoor emissions. Smaller NH<inline-formula><mml:math id="M518" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions from housing indicate a larger potential for outdoor release during the spreading stages under the same farming practices. Conversely, higher housing emissions lead to smaller consequent emissions from land application. Concerning the nitrogen excretion rate from chickens, we find that 10 % in variation leads to an annual NH<inline-formula><mml:math id="M519" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions change of approximately 12 %. The change in NH<inline-formula><mml:math id="M520" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions is not proportional to the nitrogen input because of non-linear interactions in the model, e.g. an increase in nitrogen input by 10 % may only lead NH<inline-formula><mml:math id="M521" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions to increase by a negligible amount in regions with heavy rainfall. Combining these ranges and taking the base run result as the best estimate, the overall expected uncertainty of NH<inline-formula><mml:math id="M522" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions from global chicken farming is 1.2 Tg N yr<inline-formula><mml:math id="M523" 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>, where component uncertainties of housing, land spreading and backyard chicken are 0.6, 0.5 and 0.2 Tg N yr<inline-formula><mml:math id="M524" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, respectively. Detailed estimates are described in Sect. S9.</p>
      <p id="d1e7875">Future directions of the study include (a) a better parameterization for UA
hydrolysis, (b) developing an interactive scheme for soil interactions, which
allows us to simulate soil pH dynamically and identify relevant soil processes such as the absorption of TAN, (c) incorporate more detailed pathways for nitrogen flows, such as nitrification and leaching and canopy recapture, and (d) a better representation of human management based on statistical data or national and international survey.</p>
</sec>
<sec id="Ch1.S4.SS5">
  <label>4.5</label><?xmltex \opttitle{Potential for considering NH${}_{{3}}$ mitigation scenarios}?><title>Potential for considering NH<inline-formula><mml:math id="M525" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> mitigation scenarios</title>
      <p id="d1e7897">The process-based approach of the AMCLIM–Poultry model lends itself well to
the opportunity to assess the implementation of possible management options
to abate NH<inline-formula><mml:math id="M526" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions. Of the many measures for reducing NH<inline-formula><mml:math id="M527" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
emissions as described by the United Nations Economic Commission for Europe (UNECE; Bittman et al., 2014), several of them could be incorporated as part of future model development, for example, the following points:
<list list-type="custom"><list-item><label>a.</label>
      <p id="d1e7920">Measures to optimize animal diets to reduce excretion per animal. Such measures could be incorporated in the estimated amount of excretion per bird.</p></list-item><list-item><label>b.</label>
      <p id="d1e7924">Measures to reduce moisture in poultry houses and reduce UA hydrolysis. Such measures could be incorporated into the relationship between indoor and outdoor conditions for relative humidity.</p></list-item><list-item><label>c.</label>
      <p id="d1e7928">Measures to reduce the temperature of stored manure and reduce UA hydrolysis and NH<inline-formula><mml:math id="M528" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emission. Such measures could be included in a possible future AMCLIM module on manure storage by altering the model temperature.</p></list-item><list-item><label>d.</label>
      <p id="d1e7941">Measures to alter the timing of manure application to favour land application under cool conditions. This could be included by altering assumed ambient temperatures compared with seasonal averages.</p></list-item><list-item><label>e.</label>
      <p id="d1e7945">Measures to incorporate poultry manure immediately into the soil. This could be included empirically, based on an alteration of atmospheric transfer resistances, or by a more detailed development of several vertical layers or the model nitrogen pools (see Riedo et al., 2002).</p></list-item></list>
While such considerations represent opportunities for future work, they highlight how the AMCLIM–Poultry model is well suited to the consideration of NH<inline-formula><mml:math id="M529" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions abatement scenarios.</p>
</sec>
</sec>
<?pagebreak page154?><sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d1e7968">This paper presented the simulated NH<inline-formula><mml:math id="M530" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions from global chicken
farming by using the AMCLIM–Poultry model, including considerations of
meteorological effects and simplified agricultural practices. The AMCLIM–Poultry model was designed based on underlying physics and chemistry,
supported by evidence from experimental studies.</p>
      <p id="d1e7980">The magnitude of total NH<inline-formula><mml:math id="M531" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions from chicken farming estimated by
the AMCLIM–Poultry based on 2010 was 5.5 <inline-formula><mml:math id="M532" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.2 Tg N yr<inline-formula><mml:math id="M533" 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 accounts for approximately 13 <inline-formula><mml:math id="M534" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3 % of agriculture-derived NH<inline-formula><mml:math id="M535" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions (Crippa et al., 2016). High NH<inline-formula><mml:math id="M536" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions were from southern and eastern Asia, Europe and southeastern US. These regions also had high NH<inline-formula><mml:math id="M537" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> volatilization rates, expressed as the percentage of excreted nitrogen (<inline-formula><mml:math id="M538" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) that is volatilized as NH<inline-formula><mml:math id="M539" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. The tropics often had high <inline-formula><mml:math id="M540" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values, being up to five times higher than cold or dry regions, which illustrates how large NH<inline-formula><mml:math id="M541" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emission potentials are expected under hot and wet conditions. Agricultural activities related to chicken represent appreciable NH<inline-formula><mml:math id="M542" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sources, indicating that currently increasing NH<inline-formula><mml:math id="M543" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions, accompanied by increasing chicken density (FAO, 2018), is important – especially as climate change is also expected to increase NH<inline-formula><mml:math id="M544" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions, as demonstrated by the spatial comparisons of the model.</p>
      <p id="d1e8114">Based on 2010 values, the model estimated that 22 % of the total excreted
nitrogen was volatilized as NH<inline-formula><mml:math id="M545" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions from chicken housing. The
total NH<inline-formula><mml:math id="M546" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emission was 2.0 Tg N, where 1.3 Tg N was from broilers and 0.7 Tg N was from layers. For the land-based emissions, global NH<inline-formula><mml:math id="M547" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
emissions were 2.7 Tg N from manure fertilizer applications for crops and
0.7 Tg N from backyard chicken excretion, respectively, with strong spatial
and temporal variations. In the current model approach, NH<inline-formula><mml:math id="M548" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions
from manure storage are incorporated as in-house storage with housing
emissions. Further information on variations in practices is needed as a
basis to estimate NH<inline-formula><mml:math id="M549" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/></mml:mrow></mml:msub></mml:math></inline-formula> emissions from the outdoor storage of chicken
manure, although the overall climate effect is expected to be midway between
that for housing (covered outdoor storage) and land spreading (uncovered
storage).
<?xmltex \hack{\newpage}?>
Contrary to empirical approaches, this study uses a process-based method to
quantify NH<inline-formula><mml:math id="M550" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions from chickens, which provides a foundation for
estimating emissions from other livestock types, based on theoretical
considerations. The calculation of <inline-formula><mml:math id="M551" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values is an asset of the model, which provides insight to how environmental interactions will affect the NH<inline-formula><mml:math id="M552" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions and which could also be applied for considering scenarios using emission abatement options. Strong spatial variation in <inline-formula><mml:math id="M553" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> implies that a single, empirically derived emission factor would not usually reflect reality under different climate conditions. The results of this study show increased emissions under warm conditions, pointing to an
expectation that climate change will increase chicken NH<inline-formula><mml:math id="M554" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions
globally. The different relationships for housed chickens (primarily
temperature and humidity dependence) and for backyard birds and manure
spreading (primarily temperature and precipitation dependence) indicate
that the net effect of climate change on regional emissions will depend on
the relative composition of chicken types and management.</p><?xmltex \hack{\clearpage}?>
</sec>

      
      </body>
    <back><app-group>

<?pagebreak page155?><app id="App1.Ch1.S1">
  <?xmltex \currentcnt{A}?><label>Appendix A</label><title/>
      <p id="d1e8227"><table-wrap id="Taba" position="anchor"><oasis:table><oasis:tgroup cols="3">
     <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:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><bold>Abbreviation</bold></oasis:entry>
         <oasis:entry colname="col2"><bold>Unit</bold></oasis:entry>
         <oasis:entry colname="col3"><bold>Model Variable</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M555" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mtext>N</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">g N g excretion<inline-formula><mml:math id="M556" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">N content of chicken excretion</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M557" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mtext>UA</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Fraction of uric acid in chicken excretion</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M558" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>e</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">g N m<inline-formula><mml:math id="M559" 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="M560" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">Total nitrogen excretion rate from chicken</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M561" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>(evap)</oasis:entry>
         <oasis:entry colname="col2">g m<inline-formula><mml:math id="M562" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/></mml:mrow></mml:msup></mml:math></inline-formula>s<inline-formula><mml:math id="M563" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">Evaporation</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M564" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>(rain)</oasis:entry>
         <oasis:entry colname="col2">g m<inline-formula><mml:math id="M565" 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="M566" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">Precipitation</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M567" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow class="chem"><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">g N m<inline-formula><mml:math id="M568" 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="M569" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">Net rate of conversion of TAN to gaseous NH<inline-formula><mml:math id="M570" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> within litter/manure</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M571" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>removal</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">g N s<inline-formula><mml:math id="M572" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">Removal of NH<inline-formula><mml:math id="M573" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> through ventilation in the chicken house</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M574" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>surface</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">g N s<inline-formula><mml:math id="M575" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">Total flux of NH<inline-formula><mml:math id="M576" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> from surface litter in the chicken house</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M577" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>TAN</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">g N m<inline-formula><mml:math id="M578" 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="M579" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">Flux of TAN from uric acid hydrolysis</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M580" display="inline"><mml:mi>K</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M581" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>, pH and RH)</oasis:entry>
         <oasis:entry colname="col2">s<inline-formula><mml:math id="M582" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">Function of temperature, pH and RH influencing uric acid hydrolysis rate</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M583" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>pH</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Function of pH influencing uric acid hydrolysis rate</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M584" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>RH</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Function of RH influencing uric acid hydrolysis rate</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M585" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi>T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Function of temperature influencing uric acid hydrolysis rate</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M586" display="inline"><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mtext>E</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Equilibrium moisture content of litter/manure</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M587" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mtext>available water</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">g m<inline-formula><mml:math id="M588" 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></oasis:entry>
         <oasis:entry colname="col3">Mass of water in the system that is available for wash off</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M589" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mtext>excretion</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">g m<inline-formula><mml:math id="M590" 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></oasis:entry>
         <oasis:entry colname="col3">Mass of excretion</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M591" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">g m<inline-formula><mml:math id="M592" 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></oasis:entry>
         <oasis:entry colname="col3">Mass of water in the system</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M593" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>(e)</oasis:entry>
         <oasis:entry colname="col2">g m<inline-formula><mml:math id="M594" 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></oasis:entry>
         <oasis:entry colname="col3">Mass of water in the excretion</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M595" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mtext>N</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">g N m<inline-formula><mml:math id="M596" 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></oasis:entry>
         <oasis:entry colname="col3">Mass of nitrogen components</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M597" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mtext>N-runoff</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">g N m<inline-formula><mml:math id="M598" 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></oasis:entry>
         <oasis:entry colname="col3">Mass of instant run-off for nitrogen components</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M599" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mtext>TAN</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">g N m<inline-formula><mml:math id="M600" 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></oasis:entry>
         <oasis:entry colname="col3">Mass of nitrogen in the form of TAN</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M601" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mtext>UA</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">g N m<inline-formula><mml:math id="M602" 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></oasis:entry>
         <oasis:entry colname="col3">Mass of nitrogen in the form of uric acid</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M603" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>Crop</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">g N m<inline-formula><mml:math id="M604" 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></oasis:entry>
         <oasis:entry colname="col3">Amount of total N application for individual crops</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M605" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>Crop_Chicken</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">g N m<inline-formula><mml:math id="M606" 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></oasis:entry>
         <oasis:entry colname="col3">Amount of chicken manure N application for individual crops</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M607" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>Available</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">g N m<inline-formula><mml:math id="M608" 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></oasis:entry>
         <oasis:entry colname="col3">Amount of available chicken manure N</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M609" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>Total_manure</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">g N m<inline-formula><mml:math id="M610" 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></oasis:entry>
         <oasis:entry colname="col3">Amount of total N application for all crops</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">pH</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">pH of litter/manure</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M611" display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">m<inline-formula><mml:math id="M612" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M613" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">Ventilation rate in chicken house</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M614" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mtext>available water</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">mm</oasis:entry>
         <oasis:entry colname="col3">Pools of water in the system that are available for wash off</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M615" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mtext>N</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">mm<inline-formula><mml:math id="M616" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">Wash-off factor</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M617" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>runoff</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Run-off coefficient</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M618" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">s m<inline-formula><mml:math id="M619" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">Overall indoor resistance in the chicken house</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M620" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">s m<inline-formula><mml:math id="M621" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">Aerodynamic resistance</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M622" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>b</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">s m<inline-formula><mml:math id="M623" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">Boundary layer resistance</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">RH</oasis:entry>
         <oasis:entry colname="col2">%</oasis:entry>
         <oasis:entry colname="col3">Relative humidity</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M624" display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">m<inline-formula><mml:math id="M625" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">Surface area of the chicken house</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M626" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">K</oasis:entry>
         <oasis:entry colname="col3">Ground temperature</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M627" display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">m<inline-formula><mml:math id="M628" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">Volume of the chicken house</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M629" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">mL m<inline-formula><mml:math id="M630" 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></oasis:entry>
         <oasis:entry colname="col3">Volume of water in the manure</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M631" display="inline"><mml:mi>z</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">m</oasis:entry>
         <oasis:entry colname="col3">Reference height</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M632" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">χ</mml:mi><mml:mtext>in</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">g m<inline-formula><mml:math id="M633" 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></oasis:entry>
         <oasis:entry colname="col3">Air concentration of NH<inline-formula><mml:math id="M634" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in the chicken house</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M635" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">χ</mml:mi><mml:mtext>out</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">g m<inline-formula><mml:math id="M636" 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></oasis:entry>
         <oasis:entry colname="col3">Air concentration of NH<inline-formula><mml:math id="M637" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> of ambient environment</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M638" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">χ</mml:mi><mml:mtext>surface</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">g m<inline-formula><mml:math id="M639" 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></oasis:entry>
         <oasis:entry colname="col3">Concentration of NH<inline-formula><mml:math id="M640" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in litter/manure on the surface</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap></p><?xmltex \hack{\clearpage}?>
</app>
  </app-group><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d1e9638">Model results presented in this study are in netCDF format and can be freely accessed from the Edinburgh DataShare
(<uri>https://datashare.is.ed.ac.uk/handle/10283/3774</uri>, last access: 16 November 2020; Jiang et al., 2020).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e9644">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/bg-18-135-2021-supplement" xlink:title="pdf">https://doi.org/10.5194/bg-18-135-2021-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e9653">JJ, DSS and MAS designed the research. JJ developed the model code and performed the simulations. AU and GT prepared the model input data. JJ, DSS and MAS analysed the model outputs and wrote the paper. All authors contributed to the interpretation of results and critical revision.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e9659">The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e9665">Jize Jiang gratefully acknowledges Stuart Riddick for providing the script of the GUANO model, the GLEAM group from FAO for preparing global livestock
data and support from University of Edinburgh and UK Centre for Ecology and
Hydrology (CEH). The authors thank Stuart Riddick, <?xmltex \hack{\mbox\bgroup}?>Ulrike Dragosits<?xmltex \hack{\egroup}?> and Francis Daunt for the constructive discussions related to the GUANO model. The project received funding from the NEWS UK–India, funded by the UK
Biotechnological and Biological Research Council (BBSRC) and the UK Natural
Environment Research Council (NERC). MAS is grateful for the support from the
Global Environment Facility (GEF), through the UN Environment Programme
(UNEP) for the project “Towards the International Nitrogen Management
System (INMS)”, and from the UKRI, under its Global Challenges Research Fund
for support of the GCRF South Asian Nitrogen Hub (grant no. NE/S009019/2), and from NERC for National Capability support, including through the CEH SUNRISE project. We thank US-EPA for providing public access to the AFO data sets and Steen Gyldenkaerne for advice at an early stage of the project. We also thank the two anonymous reviewers for their valuable comments.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e9674">This research has been supported by the Natural Environment Research Council (grant no. NE/S009019/2).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e9680">This paper was edited by Lutz Merbold and reviewed by two anonymous referees.</p>
  </notes><ref-list>
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    <!--<article-title-html>A climate-dependent global model of ammonia emissions from chicken farming</article-title-html>
<abstract-html><p>Ammonia (NH<sub>3</sub>) has significant impacts on the environment, which can
influence climate and air quality and cause acidification and
eutrophication in terrestrial and aquatic ecosystems. Agricultural
activities are the main sources of NH<sub>3</sub> emissions globally. Emissions of NH<sub>3</sub> from chicken farming are highly dependent on climate, affecting
their environmental footprint and impact. In order to investigate the
effects of meteorological factors and to quantify how climate change affects these emissions, a process-based model, AMmonia–CLIMate–Poultry
(AMCLIM–Poultry), has been developed to simulate and predict temporal
variations in NH<sub>3</sub> emissions from poultry excretion, here focusing on
chicken farms and manure spreading. The model simulates the decomposition of uric acid to form total ammoniacal nitrogen, which then partitions into
gaseous NH<sub>3</sub> that is released to the atmosphere at an hourly to daily
resolution. Ammonia emissions are simulated by calculating nitrogen and
moisture budgets within poultry excretion, including a dependence on
environmental variables. By applying the model with global data for
livestock, agricultural practice and meteorology, we calculate NH<sub>3</sub>
emissions from chicken farming on a global scale (0.5° resolution).
Based on 2010 data, the AMCLIM–Poultry model estimates NH<sub>3</sub> emissions
from global chicken farming of 5.5&thinsp;±&thinsp;1.2&thinsp;Tg&thinsp;N&thinsp;yr<sup>−1</sup>, about 13&thinsp;% of the agriculture-derived NH<sub>3</sub> emissions. Taking account of partial control of the ambient environment for housed chicken (layers and broilers), the fraction of excreted nitrogen emitted as NH<sub>3</sub> is found to be up to 3 times larger in humid tropical locations than in cold or dry
locations. For spreading of manure to land, rain becomes a critical driver
affecting emissions in addition to temperature, with the emission fraction
being up to 5 times larger in the semi-dry tropics than in cold, wet
climates. The results highlight the importance of incorporating climate
effects into global NH<sub>3</sub> emissions inventories for agricultural sources. The model shows increased emissions under warm and wet conditions,
indicating that climate change will tend to increase NH<sub>3</sub> emissions over the coming century.</p></abstract-html>
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