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  <front>
    <journal-meta><journal-id journal-id-type="publisher">ESSD</journal-id><journal-title-group>
    <journal-title>Earth System Science Data</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ESSD</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Earth Syst. Sci. Data</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1866-3516</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/essd-11-175-2019</article-id><title-group><article-title>Increased nitrogen enrichment and shifted patterns in the world's grassland:
1860–2016</article-title><alt-title>Nitrogen input to global grassland during 1860–2016</alt-title>
      </title-group><?xmltex \runningtitle{Nitrogen input to global grassland during 1860--2016}?><?xmltex \runningauthor{R. Xu et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Xu</surname><given-names>Rongting</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Tian</surname><given-names>Hanqin</given-names></name>
          <email>tianhan@auburn.edu</email>
        <ext-link>https://orcid.org/0000-0002-1806-4091</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Pan</surname><given-names>Shufen</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff1">
          <name><surname>Dangal</surname><given-names>Shree R. S.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4 aff1">
          <name><surname>Chen</surname><given-names>Jian</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Chang</surname><given-names>Jinfeng</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Lu</surname><given-names>Yonglong</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Skiba</surname><given-names>Ute Maria</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Tubiello</surname><given-names>Francesco N.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4617-4690</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff8">
          <name><surname>Zhang</surname><given-names>Bowen</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>International Center for Climate and Global Change Research and School
of Forestry and Wildlife Sciences, Auburn University, Auburn, AL 36849, USA</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Research Center for Eco-Environmental Sciences, State Key Laboratory
of Urban and Regional Ecology, Chinese Academy of Sciences, Beijing 100085, China</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Woods Hole Research Center, Falmouth, MA 02540, USA</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Department of Computer Science and Software Engineering, Samuel Ginn
College of Engineering,<?xmltex \hack{\break}?>  Auburn University, Auburn, AL 36849, USA</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Laboratoire des Sciences du Climat et de l'Environnement, LSCE,
91191 Gif sur Yvette, France</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Centre for Ecology and Hydrology, Bush Estate, Penicuik, EH26 0QB, UK</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>Statistics Division, Food and Agricultural Organization of the United
Nations, Via Terme di Caracalla, <?xmltex \hack{\break}?> Rome 00153, Italy</institution>
        </aff>
        <aff id="aff8"><label>a</label><institution>Present address: Department of Natural Resources and
Environmental Management, Ball State University, 2000 W. University Ave.,
Muncie, IN 47306, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Hanqin Tian (tianhan@auburn.edu)</corresp></author-notes><pub-date><day>1</day><month>February</month><year>2019</year></pub-date>
      
      <volume>11</volume>
      <issue>1</issue>
      <fpage>175</fpage><lpage>187</lpage>
      <history>
        <date date-type="received"><day>10</day><month>August</month><year>2018</year></date>
           <date date-type="rev-request"><day>18</day><month>September</month><year>2018</year></date>
           <date date-type="rev-recd"><day>10</day><month>January</month><year>2019</year></date>
           <date date-type="accepted"><day>14</day><month>January</month><year>2019</year></date>
      </history>
      <permissions>
        
        
      <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://essd.copernicus.org/articles/11/175/2019/essd-11-175-2019.html">This article is available from https://essd.copernicus.org/articles/11/175/2019/essd-11-175-2019.html</self-uri><self-uri xlink:href="https://essd.copernicus.org/articles/11/175/2019/essd-11-175-2019.pdf">The full text article is available as a PDF file from https://essd.copernicus.org/articles/11/175/2019/essd-11-175-2019.pdf</self-uri>
      <abstract>
    <p id="d1e215">Production and application to soils of manure excreta from
livestock farming significantly perturb the global nutrient balance and
result in significant greenhouse gas emissions that warm the earth's climate.
Despite much attention paid to synthetic nitrogen (N) fertilizer and manure N
applications to croplands, spatially explicit, continuous time-series
datasets of manure and fertilizer N inputs on pastures and rangelands are
lacking. We developed three global gridded datasets at a resolution of
0.5<inline-formula><mml:math id="M1" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M2" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.5<inline-formula><mml:math id="M3" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> for the period 1860–2016 (i.e., annual
manure N deposition (by grazing animals) rate, synthetic N fertilizer and N
manure application rates), by combining annual and 5 arcmin spatial data on
pastures and rangelands with country-level statistics on livestock manure,
mineral and chemical fertilizers, and land use information for cropland and
permanent meadows and pastures. Based on the new data products, we estimated
that total N inputs, the sum of manure N deposition, manure N application and fertilizer N
application to pastures and rangelands, increased globally from 15 to
101 Tg N yr<inline-formula><mml:math id="M4" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> during 1860–2016. In particular during the period
2000–2016, livestock manure N deposition accounted for 83 % of the total
N inputs, whereas manure and fertilizer N application accounted 9 % and
8 %, respectively. At the regional scale, hotspots of manure N deposition
remained largely similar during the period 1860–2016 (i.e., southern Asia,
Africa and South America); however, hotspots of manure and fertilizer N
application shifted from Europe to southern Asia in the early 21st century.
The new three global datasets contribute to the filling of the previous data gaps of global
and regional N inputs in pastures and rangelands, improving the abilities of
ecosystem and earth system models to investigate the global impacts of N
enrichment due to agriculture, in terms of associated greenhouse gas
emissions and environmental sustainability issues. Datasets are available at
<ext-link xlink:href="https://doi.org/10.1594/PANGAEA.892940" ext-link-type="DOI">10.1594/PANGAEA.892940</ext-link>.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<?pagebreak page176?><sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p id="d1e265">Livestock production has increased substantially in response to growing meat
consumption across the globe in the past century (Bouwman et al., 2013;
Dangal et al., 2017). Agriculture occupies 37 % of earth's ice-free land
surface for use as cropland and “permanent meadows and pastures”
(Tubiello, 2018). Land used by livestock for permanent meadows and pastures is the
largest component, using 25 % of the total land earth surface (FAOSTAT,
2018) to generate 33 %–50 % of world total agricultural GDP (Herrero
et al., 2013). While livestock is a major source of income for more than 1.3
billion people, it is also a major user of crop and freshwater resources
(Dangal et al., 2017; Herrero et al., 2013). Overall, livestock production
plays a major role as a driver of global change in land use and nutrient
cycles (Havlík et al., 2014; Herrero et al., 2013; Zhang et al., 2017).
There is a growing recognition that livestock production is linked to
increasing global greenhouse gas (GHG) and ammonia emissions (Tian et al.,
2016; Tubiello et al., 2018; Xu et al., 2018, 2019).
Unsustainable practices, especially in intensive systems, may lead to severe
pollution of aquatic systems and soil degradation locally, regional and
globally, in particular through nitrate leaching to water bodies (Dangal et
al., 2017; Davis et al., 2015; Fowler et al., 2013; Yang et al., 2016).
Growing global demand for livestock products has increased grain production
for feed in many regions, and has become a global driver of fertilizers
trends, through an increase in manure availability and synthetic fertilizer N
use (FAOSTAT, 2018).</p>
      <p id="d1e268">Livestock production systems therefore play an important role in global
nutrient cycles. For example, nitrogen excretion from livestock increased
from 21 Tg N yr<inline-formula><mml:math id="M5" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 1860 to 123 Tg N yr<inline-formula><mml:math id="M6" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2016 (FAOSTAT, 2018;
Zhang et al., 2017). Livestock contribute roughly two-thirds of non-<inline-formula><mml:math id="M7" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
GHG emissions from agriculture (Smith et al., 2014), with roughly an equal
share of <inline-formula><mml:math id="M8" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M9" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> emissions (Dangal et al., 2017; Tubiello et
al., 2013). Importantly, about 45 % of total anthropogenic <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>
emissions are linked to manure deposited through grazing and manure applied
to croplands or left on pasture (Davidson, 2009; FAOSTAT, 2018). Globally,
emissions from manure N applied to soils or left on pastures increased
from 0.44 to 0.88 Gt <inline-formula><mml:math id="M11" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">eq</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> yr<inline-formula><mml:math id="M12" 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> during 1961–2010 (FAOSTAT, 2018).
Increased meat and dairy product consumption worldwide was a major driver
behind the documented increase in cattle herds globally (FAOSTAT, 2018), and
thus a major cause in the observed atmospheric increase of <inline-formula><mml:math id="M13" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M14" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> over the past several decades (Bai et al., 2018; Bouwman et al.,
2013; Dangal et al., 2017; Tubiello, 2018).</p>
      <p id="d1e395">While the availability of national-level statistics is a fundamental
component of our knowledge base, environmental problems related to nitrogen
pollution or emissions are best tackled at the local scale and often require
finer, geospatial information, for example to assess proximity to water
bodies and thus pollution risks. In particular, a number of studies have
focused on downscaling existing national information to develop geospatially
explicit regional and global datasets of nitrogen fertilizer and livestock
manure production and use, to better understand their feedback on the
climate system. Several datasets of N fertilizer use were used in this
study, in particular the FAOSTAT annual, country-specific statistics on
mineral and chemical fertilizers and livestock manure over the period
1961–2016 (FAOSTAT, 2018), as well as specific geospatially downscaled
products (e.g., Bouwman et al., 2005; Lu and Tian, 2017; Mueller et al.,
2012; Nishina et al., 2017; Potter et al., 2010; Sheldrick et al., 2002).
Further, global manure production datasets were developed in different
studies to achieve various research goals (Bouwman et al., 2009, 2013;
Holland et al., 2005; Potter et al., 2010; Zhang et al., 2017).
Although datasets of manure application in croplands are increasingly
becoming available, there is considerable uncertainty in the estimation of total
manure application and their spatial distribution across different studies
(Gerber et al., 2016; Herrero et al., 2013; Liu et al., 2010; Zhang et al., 2017).</p>
      <p id="d1e398">Although previous studies have provided spatially explicit datasets of N
inputs in the form of mineral or chemical and manure N in cropland systems,
the spatially explicit datasets on N inputs in grassland systems are still
missing (Chang et al., 2016; Lassaletta et al., 2014; Stehfest and Bouwman,
2006). By grassland systems we mean the FAO livestock land use definition,
i.e., land used as permanent meadows and pastures (FAOSTAT, 2018). The same
may also be referred to in the literature as “pastures and rangelands”. We
note that “grassland” is in fact a land cover definition. In order to avoid
the confusion often made in the literature between land cover and land use
terminology, we will adopt FAO land use terminology of permanent meadows
and pastures, to which the various national regional and global land use
statistics cited in this work refer. Furthermore, using results from the
HYDE 3.2 dataset (Klein Goldewijk et al., 2017), we may split the FAO land use
category into “pastures” and “rangelands”, to highlight differences between
managed intensive and unmanaged extensive systems, as needed. To enhance our
understanding of the role of livestock in the global GHG balance and
nutrient budgets (e.g., ammonia emissions, nitrate leaching), global
biogeochemistry models require spatially explicit estimates of N inputs. In
this study, we developed datasets for major sources of N inputs in
agriculture (i.e., manure and fertilizer application and manure deposition
on permanent meadows and pastures), using the recently published FAOSTAT
statistics on manure N use in agriculture (FAOSTAT, 2018). The latter are
estimates based on IPCC Tier 1 methodology; i.e., they rely on default
coefficients prescribing, among other variables, N excretion rates by animal
type and region, as well as regional compositions of manure management
systems (FAOSTAT, 2018).</p>
      <p id="d1e402">Through combining the land use dataset HYDE 3.2, FAOSTAT fertilizer N
statistics and gridded manure production data in Zhang et al. (2017), we
developed three annual global datasets at a spatial resolution of
0.5<inline-formula><mml:math id="M15" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M16" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.5<inline-formula><mml:math id="M17" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, as follows:<?pagebreak page177?> (1) manure N
application rates to pastures (1860–2016); (2) synthetic N fertilizer
application rates to pastures (1961–2016); and (3) manure deposition rates
by grazing livestock to rangelands and pastures (1860–2016). We
quantified regional variations in N inputs, identified hotspots of N inputs
from different N sources from livestock and discussed their uncertainty.
These datasets are developed for global model simulation studies in model
intercomparison projects (e.g., NMIP; Tian et al., 2018, 2019), and
will be updated annually based on regular annual updates of FAO
fertilizers and land use statistics and other sources of data such as global
land use data products.</p>
</sec>
<sec id="Ch1.S2">
  <title>Methods</title>
<sec id="Ch1.S2.SS1">
  <title>Land use categories</title>
      <p id="d1e441">The concepts of grassland, pastures and meadows span several international
land cover and land use statistical definitions, specifically those used by
FAO (FAOSTAT, 2018). In this paper, we follow the relevant FAO land use
definition of permanent meadows and pastures, considering our focus on
livestock production. Importantly, complete country, regional and global
statistics available from FAO refer to this land use category. This land use
definition is roughly equivalent to the one adopted by the academic
community engaged in global biogeochemical modeling, for which “grassland
systems” are thought of as land cover/land use areas dominated by herbaceous
and shrub vegetation, including savannas (Africa, South America and India),
steppes (Eurasia), prairies (North America), shrub-dominated areas (Africa),
meadows and pastures (United Kingdom and Ireland) and tundra (Breymeyer,
1990; White et al., 2000).</p>
      <p id="d1e444">For mineral and chemical fertilizers, we further split the FAO definition
using HYDE 3.2, into pastures and rangelands, the former representing
land use areas managed to support high stocking densities of grass
production for hay and silage, whereas the latter represents unmanaged and
grazed at low stocking densities. Although FAOSTAT land use statics cover in
principle these two subcategories of land use, data coverage needed is
insufficient for the consistent global mapping needed herein. The spatial
distribution map of pastures and rangelands provided by HYDE are nonetheless
based on and normalized to FAOSTAT land use statistics, complemented by
additional information (Klein Goldewijk et al., 2017). To investigate N inputs from
livestock at a regional level, the global landmass was disaggregated into
seven regions: North America, South America, Africa, Europe, southern Asia
(i.e., west, south, east, central and southeast Asia), northern Asia and
Oceania (Fig. S1 in the Supplement).</p><?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S2.SS2">
  <title>Global synthetic fertilizer N application on pastures</title>
      <p id="d1e454">We obtained national-level datasets of “Agricultural use of mineral or
chemical fertilizers” from the FAOSTAT (2018) “Fertilizers by Nutrient”
domain, over the time series 1961–2016. The FAOSTAT statistics of
agricultural use include use for both agriculture and forestry, as well as
use in aquaculture. Furthermore, agricultural use includes both cropland and
permanent meadows and pastures. We assumed that the use of fertilizers for forestry
and aquaculture was zero, as well as fertilizer applications on rangelands.
Subsequently, we estimated N application rates to pastures by using the
ratio of pasture to cropland N use total published by Lassaletta et al. (2014).
We finally spatialized the pasture N data using HYDE 3.2, obtaining
gridded maps of synthetic fertilizer N application rates on pastures in
each grid cell area, over the period 1961–2016 (Fig. 1). We assumed even
application rates within each country. Although gridded livestock density
maps were available from FAO, these are currently fixed for specific time
periods, mainly 2010, so that we deemed their use not particularly relevant
to improve estimates for the 1961–2016 time series considered herein.
Improved live density map products from FAO will considerably improve our
work and reduce uncertainty, and will be used when available.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><caption><p id="d1e459">Diagram of the workflow for developing the database of global
annual N fertilizer use rate in pasture during the period 1961–2016.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://essd.copernicus.org/articles/11/175/2019/essd-11-175-2019-f01.png"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS3">
  <title>Global manure N application to pastures</title>
      <p id="d1e474">We obtained country-level datasets of “manure applied to soils” from the
FAOSTAT (2018) “Livestock Manure” domain for the period 1961–2016 (FAO,
2018). Following IPCC guidelines, the data in this domain do not consider N
leaching during treatment (FAOSTAT, 2018). Furthermore, the FAOSTAT data do
not separate manure application to cropland and pastures, and data of manure
N application rates to pastures are currently not available. We therefore
assumed that manure N application rates in pastures and croplands were the
same, considering that the overall uncertainty in the input manure N data
would not justify further assumptions at this stage of knowledge. Improved
FAO statistics on both use and application rates will be used when available
to improve this current work. Through combining land use data<?pagebreak page178?> HYDE 3.2, we
calculated the total cropland and pasture areas within each country where
manure application amount was larger than zero. We then computed mean manure
N application rates on pastures, annually over the period 1961–2016 (Fig. 2).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><caption><p id="d1e479">Diagram of the workflow for developing the database of global
annual manure N use rate in pastures and manure N deposition rate in
pastures and rangelands during the period 1860–2016.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://essd.copernicus.org/articles/11/175/2019/essd-11-175-2019-f02.png"/>

        </fig>

      <p id="d1e488">We calculated the national-level ratio of manure application to production
(<inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:msub><mml:mtext>a2p</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> by combining gridded manure production data in Zhang
et al. (2017) and the grid cell area. To spatialize the national-level
manure N application amounts to gridded maps of application rates in each
grid area, we multiplied the <inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:msub><mml:mtext>a2p</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> in grids where pasture
areas were larger than zero with the time-series gridded spatial
distribution maps of manure production rate in Zhang et al. (2017) during
1961–2014 and based on the spatial distributions of global pastures in
land use data HYDE 3.2 (Klein Goldewijk et al., 2017).</p>
      <p id="d1e535">The above-mentioned processes are represented by following equations:
            <disp-formula id="Ch1.E1" content-type="numbered"><mml:math id="M20" display="block"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:msub><mml:mtext>a2p</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:msub><mml:mtext>Mapp</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>g</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mrow><mml:mi>g</mml:mi><mml:mo>=</mml:mo><mml:mi>n</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mtext>in</mml:mtext><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mtext>country</mml:mtext><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi>j</mml:mi></mml:mrow></mml:msubsup><mml:mo>(</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:msub><mml:mtext>Mprod</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mtext>g</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mtext>g</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 year is from 1961 to 2016, and country number is 165. <inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:msub><mml:mtext>a2p</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
is the ratio (unitless) of manure application to production in the year
<inline-formula><mml:math id="M22" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> and country <inline-formula><mml:math id="M23" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>. <inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:msub><mml:mtext>Mapp</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the national total manure application
amount (kg N yr<inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> derived from the FAO database for each year. <inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mtext>g</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
is the area of each grid (km<inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>.
            <disp-formula id="Ch1.E2" content-type="numbered"><mml:math id="M28" display="block"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:msub><mml:mtext>Mapp</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mtext>g</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:msub><mml:mtext>a2p</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:msub><mml:mtext>Mprod</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mtext>g</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:msub><mml:mtext>Mapp</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mtext>g</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the gridded manure application rate
(kg N km<inline-formula><mml:math id="M30" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> in year <inline-formula><mml:math id="M32" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> and country <inline-formula><mml:math id="M33" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>.</p>
      <p id="d1e849">As the national-level manure application amount was not available during
1860–1960, we assumed that <inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:msub><mml:mtext>a2p</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the same as for 1961.
Combining with the gridded spatial maps of manure production rates in Zhang
et al. (2017), we generated the datasets of spatialized manure application
rates to global pastures during 1860–1960.</p>
      <p id="d1e873">Finally, we calculated manure application amounts in each country by
combining <inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:msub><mml:mtext>Mapp</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mtext>g</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and grid areas to compare with
national-level deposition amounts from the FAOSTAT database during
1961–2016. As we calculated national-level manure application amounts
during 1860–1960 using <inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:msub><mml:mtext>a2p</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> in 1961, these data served as
national total manure N application amounts to adjust <inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:msub><mml:mtext>Mapp</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mtext>g</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
during 1860–1960.</p>
      <p id="d1e939">The adjustment procedure is represented in the following equations:
            <disp-formula id="Ch1.E3" content-type="numbered"><mml:math id="M38" display="block"><mml:mrow><mml:msub><mml:mtext>CT</mml:mtext><mml:mrow><mml:msub><mml:mtext>Mapp</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>g</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mrow><mml:mi>g</mml:mi><mml:mo>=</mml:mo><mml:mi>n</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mtext>in</mml:mtext><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mtext>country</mml:mtext><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi>j</mml:mi></mml:mrow></mml:msubsup><mml:mo>(</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:msub><mml:mtext>Mapp</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mtext>g</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mtext>g</mml:mtext></mml:msub><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where year is from 1860–2016. <inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:msub><mml:mtext>CT</mml:mtext><mml:mrow><mml:msub><mml:mtext>Mapp</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (kg N yr<inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is
the calculated national-level manure application amounts in the year <inline-formula><mml:math id="M41" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> and
country <inline-formula><mml:math id="M42" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>. If <inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:msub><mml:mtext>CT</mml:mtext><mml:mrow><mml:msub><mml:mtext>Mapp</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is less or more than
<inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:msub><mml:mtext>Mapp</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, an adjustment is needed to keep calculated national total amounts
consistent with amounts from the FAOSTAT database. In this case,
<inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:msub><mml:mtext>CT</mml:mtext><mml:mrow><mml:msub><mml:mtext>Mapp</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is less than <inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:msub><mml:mtext>Mapp</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> using Eq. (3), thus
an adjustment is needed, using the following equations:
            <disp-formula id="Ch1.E4" content-type="numbered"><mml:math id="M47" display="block"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:msub><mml:mtext>a</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></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>T</mml:mi><mml:mrow><mml:msub><mml:mtext>Mapp</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mtext>CT</mml:mtext><mml:mrow><mml:msub><mml:mtext>Mapp</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:msub><mml:mtext>a</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the regulation ratio (unitless) in the year <inline-formula><mml:math id="M49" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> and
country <inline-formula><mml:math id="M50" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>.
            <disp-formula id="Ch1.E5" content-type="numbered"><mml:math id="M51" display="block"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:msub><mml:mtext>Mapp</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mtext>g</mml:mtext><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>(</mml:mo><mml:mi>r</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:msub><mml:mtext>Mapp</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mtext>g</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:msub><mml:mtext>a</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:msub><mml:mtext>Mapp</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mtext>g</mml:mtext><mml:mo>(</mml:mo><mml:mi>r</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is real gridded manure application rate
(kg N km<inline-formula><mml:math id="M53" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> in the year <inline-formula><mml:math id="M55" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> and country <inline-formula><mml:math id="M56" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <title>Global manure N deposition on pastures and rangelands</title>
      <p id="d1e1387">To develop global distribution maps of manure N deposition by grazing
animals, we first obtained country-level statistics of “manure left on
pasture” over the period 1961–2016 from the FAOSTAT (2018) “Livestock
manure” domain of FAOSTAT agri-environmental indicators (FAO, 2018). We then
obtained the national-level ratio of manure deposition to production
(<inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:msub><mml:mtext>d2p</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> by combining country-level FAOSTAT datasets of
manure left on pasture and gridded total manure production datasets
based on Zhang et al. (2017). Then, we used spatial distributions of global
permanent meadows and pastures, including pastures and rangelands, based on
HYDE 3.2 grassland data (Klein Goldewijk et al., 2017) and gridded maps of
deposition rates, to spatialize the national-level manure N deposition at
the global scale. For example, we multiplied the <inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:msub><mml:mtext>d2p</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> ratio
in grids within which the pastures and rangelands area was larger than zero,
with the time-series gridded spatial distribution maps of manure production
rates in Zhang et al. (2017) during 1961–2014 (Fig. 2).</p>
      <p id="d1e1434">The above-mentioned processes are represented by the following equations:
            <disp-formula id="Ch1.E6" content-type="numbered"><mml:math id="M59" display="block"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:msub><mml:mtext>d2p</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi>j</mml:mi></mml:mrow></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:msub><mml:mi>T</mml:mi><mml:mrow><mml:msub><mml:mtext>Mdep</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>g</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mrow><mml:mi>g</mml:mi><mml:mo>=</mml:mo><mml:mi>n</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mtext>in</mml:mtext><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mtext>country</mml:mtext><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>j</mml:mi></mml:mrow></mml:msubsup><mml:mo>(</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:msub><mml:mtext>Mprod</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mtext>g</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mtext>g</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 year (<inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:mi>y</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is from 1961 to 2016 and country number (<inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:mi>j</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is 157.
<inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:msub><mml:mtext>d2p</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the ratio (unitless) of manure deposition to
production in the year <inline-formula><mml:math id="M63" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> and country <inline-formula><mml:math id="M64" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>. <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:msub><mml:mtext>Mdep</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is national total
manure deposition amount (kg N yr<inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> derived from the FAOSTAT database
for each year. <inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:msub><mml:mtext>Mprod</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mtext>g</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the gridded manure N production
rate (kg N km<inline-formula><mml:math id="M68" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> in the year <inline-formula><mml:math id="M70" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> and grid g.
            <disp-formula id="Ch1.E7" content-type="numbered"><mml:math id="M71" display="block"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:msub><mml:mtext>Mdep</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mtext>g</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:msub><mml:mtext>d2p</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:msub><mml:mtext>Mprod</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mtext>g</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:msub><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>R</mml:mi><mml:mrow><mml:msub><mml:mtext>Mdep</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mtext>g</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the gridded manure deposition rate
(kg N km<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> yr<inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> in the year <inline-formula><mml:math id="M75" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> and country <inline-formula><mml:math id="M76" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>.</p>
      <?pagebreak page179?><p id="d1e1802">Finally, we calculated the manure deposition amount for each country through
combining <inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:msub><mml:mtext>Mdep</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mtext>g</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and grid area to compare with the
national-level deposition amounts from the FAOSTAT database, using the
following equation:
            <disp-formula id="Ch1.E8" content-type="numbered"><mml:math id="M78" display="block"><mml:mrow><mml:msub><mml:mtext>CT</mml:mtext><mml:mrow><mml:msub><mml:mtext>Mdep</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>g</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mrow><mml:mi>g</mml:mi><mml:mo>=</mml:mo><mml:mi>n</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mtext>in</mml:mtext><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mtext>country</mml:mtext><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi>j</mml:mi></mml:mrow></mml:msubsup><mml:mo>(</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:msub><mml:mtext>Mdep</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mtext>g</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mtext>g</mml:mtext></mml:msub><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:msub><mml:mtext>CT</mml:mtext><mml:mrow><mml:msub><mml:mtext>Mdep</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (kg N yr<inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the calculated
national-level manure deposition amount in the year <inline-formula><mml:math id="M81" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> and country <inline-formula><mml:math id="M82" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>. If
<inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:msub><mml:mtext>CT</mml:mtext><mml:mrow><mml:msub><mml:mtext>Mdep</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is less or more than <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:msub><mml:mtext>Mdep</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, an
adjustment was made to keep calculated national total amounts consistent
with those from the FAOSTAT database. In this case, <inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:msub><mml:mtext>CT</mml:mtext><mml:mrow><mml:msub><mml:mtext>Mdep</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is
roughly equal to <inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:msub><mml:mtext>Mdep</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> using Eq. (8); thus no adjustment was
needed.</p>
      <p id="d1e2038">Since the national-level manure deposition amounts are not available during
1860–1960, we assumed that <inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:msub><mml:mtext>d2p</mml:mtext><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the same as that in
1961. Combining the gridded spatial maps of manure production rates in Zhang
et al. (2017), we generated datasets of spatialized manure deposition rates
on permanent meadows and pastures globally for the period 1860–1960.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Results</title>
<sec id="Ch1.S3.SS1">
  <title>Synthetic fertilizer N application to pastures, 1961–2016</title>
      <p id="d1e2074">The FAO data, combined with the geospatial analysis in this work, show that
the total amount of synthetic N fertilizer applied to pastures increased
from 0.04 to 8.7 Tg N yr<inline-formula><mml:math id="M88" 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> during 1961–2016 at an average rate of
<inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.18</mml:mn></mml:mrow></mml:math></inline-formula> Tg N yr<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> (<inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.98</mml:mn></mml:mrow></mml:math></inline-formula>) (Fig. 3a).
Synthetic N fertilizer application rates showed rapid increases across the
globe, with large spatial variations during the study period (Fig. 4b–c).
The global average application rate on pastures was 0.07 kg N ha<inline-formula><mml:math id="M92" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M93" 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 1961 and reached 10.9 kg N ha<inline-formula><mml:math id="M94" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M95" 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 2016
(increased <inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">154</mml:mn></mml:mrow></mml:math></inline-formula>-fold) (Table 1).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><caption><p id="d1e2187">Temporal patterns of global manure N use, N fertilizer use and
manure deposition in grassland systems: <bold>(a)</bold> manure N use and N fertilizer
use on global pastures during 1860–2016 and during 1961–2016,
respectively, and <bold>(b)</bold> manure N deposition to global pastures and rangelands
during 1860–2016.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://essd.copernicus.org/articles/11/175/2019/essd-11-175-2019-f03.png"/>

        </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p id="d1e2205">The N input rates, applied/deposited area and total amounts in
global pastures and rangelands in 1860, 1961, 1980, 2000 and 2016 (1 km<inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> ha).
N/A: not available.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">1860</oasis:entry>
         <oasis:entry colname="col3">1961</oasis:entry>
         <oasis:entry colname="col4">1980</oasis:entry>
         <oasis:entry colname="col5">2000</oasis:entry>
         <oasis:entry colname="col6">2016</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Averaged N fertilizer application rate (kg N ha<inline-formula><mml:math id="M98" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M99" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">N/A</oasis:entry>
         <oasis:entry colname="col3">0.07</oasis:entry>
         <oasis:entry colname="col4">3.6</oasis:entry>
         <oasis:entry colname="col5">7.8</oasis:entry>
         <oasis:entry colname="col6">10.9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Total applied area (Mha)</oasis:entry>
         <oasis:entry colname="col2">N/A</oasis:entry>
         <oasis:entry colname="col3">623.8</oasis:entry>
         <oasis:entry colname="col4">725</oasis:entry>
         <oasis:entry colname="col5">797.8</oasis:entry>
         <oasis:entry colname="col6">803.1</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Total amounts (Tg N yr<inline-formula><mml:math id="M100" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">N/A</oasis:entry>
         <oasis:entry colname="col3">0.04</oasis:entry>
         <oasis:entry colname="col4">2.6</oasis:entry>
         <oasis:entry colname="col5">6.2</oasis:entry>
         <oasis:entry colname="col6">8.7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Average manure N application rate (kg N ha<inline-formula><mml:math id="M101" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M102" 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="col2">5.3</oasis:entry>
         <oasis:entry colname="col3">8.1</oasis:entry>
         <oasis:entry colname="col4">9.8</oasis:entry>
         <oasis:entry colname="col5">9.5</oasis:entry>
         <oasis:entry colname="col6">10.7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Total applied area (Mha)</oasis:entry>
         <oasis:entry colname="col2">268.2</oasis:entry>
         <oasis:entry colname="col3">623.8</oasis:entry>
         <oasis:entry colname="col4">725</oasis:entry>
         <oasis:entry colname="col5">797.8</oasis:entry>
         <oasis:entry colname="col6">803.1</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Total amounts (Tg N yr<inline-formula><mml:math id="M103" 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="col2">1.4</oasis:entry>
         <oasis:entry colname="col3">5.0</oasis:entry>
         <oasis:entry colname="col4">7.1</oasis:entry>
         <oasis:entry colname="col5">7.6</oasis:entry>
         <oasis:entry colname="col6">8.6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Average manure N deposition rate (kg N ha<inline-formula><mml:math id="M104" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M105" 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="col2">11.2</oasis:entry>
         <oasis:entry colname="col3">15.4</oasis:entry>
         <oasis:entry colname="col4">19.0</oasis:entry>
         <oasis:entry colname="col5">20.7</oasis:entry>
         <oasis:entry colname="col6">25.3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Total deposited area (Mha)</oasis:entry>
         <oasis:entry colname="col2">1250.1</oasis:entry>
         <oasis:entry colname="col3">3070.7</oasis:entry>
         <oasis:entry colname="col4">3194.2</oasis:entry>
         <oasis:entry colname="col5">3398.5</oasis:entry>
         <oasis:entry colname="col6">3295</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Total amounts (Tg N yr<inline-formula><mml:math id="M106" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">14.0</oasis:entry>
         <oasis:entry colname="col3">47.2</oasis:entry>
         <oasis:entry colname="col4">60.7</oasis:entry>
         <oasis:entry colname="col5">70.5</oasis:entry>
         <oasis:entry colname="col6">83.5</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e2575">In the 1960s, Europe (0.2 Tg N yr<inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> was the largest contributor
(67.8 %) to the total global N fertilizer use, followed by North America
(0.06 Tg N yr<inline-formula><mml:math id="M108" 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>, 21.8 %) and southern Asia (0.03 Tg N yr<inline-formula><mml:math id="M109" 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>,
9.9 %) (Fig. 5a). The remaining<?pagebreak page180?> regions accounted for less than 1 % of
the total N fertilizer application. During 1961–2016, southern Asia showed
a continuous increase of N fertilizer consumption and became the largest
contributor (3.4 Tg N yr<inline-formula><mml:math id="M110" 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>, 45 %) between 2000 and 2016. In contrast,
Europe's synthetic N fertilizer use and contribution to the global total
has decreased since the 1980s (Fig. 5a). This is a well-known trend, linked to
EU-wide policy directives aimed at minimizing N pollution (Tubiello, 2018).
During 2000–2016, Europe applied 2.1 Tg N yr<inline-formula><mml:math id="M111" 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 accounted for
27 % of the total global N fertilizer use on pastures. There was a slight
increase in the contribution from North America, and the synthetic
fertilizer N use amount increased by 1.6 Tg N yr<inline-formula><mml:math id="M112" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. The remaining
regions accounted for roughly 7 % of the total N fertilizer application on
pastures.</p>
      <p id="d1e2654">The average synthetic N application rate in Oceania, North America and
southern Asia showed a rapid increase over the period 1961–2016 (Fig. 5d).
Africa and northern Asia showed a slight increase in average N fertilizer
application rates during the study period. Europe exhibited a rapid increase
of N fertilizer application rates from 1961, then these decreased after 2000 and
have started to increase in the last 5 years (Fig. S3).</p>
      <p id="d1e2657">We identified the top five countries (India, United States, China, France
and Germany) with the highest fertilizer N application to pastures in 2016.
These countries consumed 49 % to 58 % of the total N fertilizer from
1961 to 2016. India (1.5 Tg N yr<inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and the United States
(1.5 Tg N yr<inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> were the two largest contributors in 2016, at an increasing rate
of 45 Gg N yr<inline-formula><mml:math id="M115" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.98</mml:mn></mml:mrow></mml:math></inline-formula>) during 1980–2016 and
32 Gg N yr<inline-formula><mml:math id="M117" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.99</mml:mn></mml:mrow></mml:math></inline-formula>) during 1961–2016,
respectively. China consumed 1.4 Tg N yr<inline-formula><mml:math id="M119" 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 2016 at an increasing
rate of 34 Gg N yr<inline-formula><mml:math id="M120" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.96</mml:mn></mml:mrow></mml:math></inline-formula>) during 1977–2016,
while there was only a slight increase during 1961–1976. In contrast,
fertilizer N use in France peaked in 1999 (0.8 Tg N yr<inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, then showed
a rapid decrease until 2016 (0.5 Tg N yr<inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. Similarly, in Germany, it
peaked in 1988 (0.8 Tg N yr<inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, and showed a continuous decrease until
2016 (0.3 Tg N yr<inline-formula><mml:math id="M125" 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>).</p>
</sec>
<sec id="Ch1.S3.SS2">
  <title>Manure N application to pastures, 1860–2016</title>
      <p id="d1e2848">Our results showed that the annual manure N application rates on pastures
increased from 1.4 to 8.6 Tg N yr<inline-formula><mml:math id="M126" 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> during 1860–2016 (Fig. 3a).
Manure N application rates showed rapid increases across the globe and
exhibited large spatial variations, shifting the regional use from North
America and Europe to Asia during the study period (Fig. 4d–f). The global
average manure application rate was 5.3 kg N ha<inline-formula><mml:math id="M127" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M128" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in the
1860s and roughly doubled by 2016 (10.7 kg N ha<inline-formula><mml:math id="M129" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> (Table 1).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><caption><p id="d1e2916">Spatial patterns of N input rates in global pastures and
rangelands in 1860, 1961 and 2016: <bold>(a, b, c)</bold> N fertilizer application
rates, <bold>(d, e, f)</bold> manure N application rates and <bold>(g, h, i)</bold> manure N deposition
rates.</p></caption>
          <?xmltex \igopts{width=412.564961pt}?><graphic xlink:href="https://essd.copernicus.org/articles/11/175/2019/essd-11-175-2019-f04.jpg"/>

        </fig>

      <p id="d1e2934">From the regional perspective (Fig. 5b), in the 1860s Europe (0.8 Tg N yr<inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>
was the largest contributor and accounted for 53 %, while
southern Asia (0.25 Tg N yr<inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> accounted for 17 % of the global total
manure N application on pastures. South and North America shared the same
proportion (13 %), whereas the remaining regions only shared 4 %.
Conversely during 2000–2016, manure N application on pastures in southern
Asia (2.9 Tg N yr<inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> was 10-fold higher than that in the 1860s and
accounted for 36 % of the global total, surpassing Europe, which accounted
for 28 % of the global total. Manure N application amounts in North
America and South America increased, but with different magnitudes. During
2000–2016, North America accounted for 11 %, while South America
accounted for 17 % of the global total. In the remaining regions,
significant increases of annual manure N application on pastures also
occurred, but their contributions to the global total changed only slightly
(8 %) compared to the 1860s.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p id="d1e2985">Nitrogen fertilizer use <bold>(a)</bold> and rate <bold>(d)</bold>, manure N use <bold>(b)</bold> and
rate <bold>(e)</bold> and manure N deposition <bold>(c)</bold> and rate <bold>(f)</bold> at regional scales in
the 1860s, 1960s, 1980s and 2000–2016. Error bars represent standard
deviation within each decade.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://essd.copernicus.org/articles/11/175/2019/essd-11-175-2019-f05.png"/>

        </fig>

      <?pagebreak page182?><p id="d1e3013">The regional average manure N application rate was increasing in southern
Asia and Africa during 1860–2016 (Fig. S3b). South America, Oceania and
North America exhibited a rapid decreasing trend of manure N application
rates from the 1860s to the 1960s and showed continuous increases afterward
until 2016 (Figs. 5e, S3b), which was associated with the substantial
expansion of pasture areas (Table S2). Europe exhibited a rapid increase of
manure N application rates from the 1860s, then these decreased after the 1980s
(Figs. 5e).</p>
      <p id="d1e3016">In 2016, the top five countries with largest manure N applications on
pastures were China, United States, Brazil, Russia and France. Manure N
application in these countries contributed 43 % to 52 % of global total
use from 1961 to 2016. China (2.5 Tg N yr<inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> alone accounted for 30 %
in 2016 at an increasing rate of 42 Gg N yr<inline-formula><mml:math id="M135" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.98</mml:mn></mml:mrow></mml:math></inline-formula>) during 1961–2016. Manure N use on pastures in Brazil and the United
States was roughly the same (0.7 Tg N yr<inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> in 2016. Both countries
showed a slower increasing trend (Brazil 7 Gg N yr<inline-formula><mml:math id="M138" 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
United States 3 Gg N yr<inline-formula><mml:math id="M139" 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>) during 1961–2016. In contrast,
Russian manure N application peaked in 1989 (0.7 Tg N yr<inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, then
showed a rapid decrease until 2016 (0.3 Tg N yr<inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. Similarly, in
France, it peaked in 1979 (0.45 Tg N yr<inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, then showed a continuous
decrease until 2016 (0.28 Tg N yr<inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <title>Manure N deposition on pastures and rangelands, 1860–2016</title>
      <p id="d1e3167">Our data show that the total amounts of manure N deposited on pastures and
rangelands increased from 14 to 84 Tg N yr<inline-formula><mml:math id="M144" 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> during 1860–2016 (Fig. 3b).
Manure N deposition rates increased steeply across the globe, but
exhibited large spatial variations during the study period (Fig. 4g–i). The
increase was much larger in the eastern world (typically China and India)
and South America compared to the western world. The global average manure
deposition rate was 11 kg N ha<inline-formula><mml:math id="M145" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M146" 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 1860 and reached 25 kg N ha<inline-formula><mml:math id="M147" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M148" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
in 2016 (Table 1).</p>
      <p id="d1e3230">At the regional scale (Fig. 5c), in the 1860s southern Asia was the region
with the largest manure N deposition on pastures and rangelands (4.4 Tg N yr<inline-formula><mml:math id="M149" 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>;
30 % of total manure N deposition amounts), followed by Africa
(2.8 Tg N yr<inline-formula><mml:math id="M150" 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>; 19 %) and South America (2.4 Tg N yr<inline-formula><mml:math id="M151" 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>; 16 %).
Manure N deposition in the remaining regions was estimated to be 5.1 Tg N yr<inline-formula><mml:math id="M152" 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>,
contributing 35 % to the total manure N deposition amount.
During 2000–2016, southern Asia, Africa and South America were still the
three largest contributors: 27 Tg N yr<inline-formula><mml:math id="M153" 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> accounted for 34 %, 20 Tg N yr<inline-formula><mml:math id="M154" 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>
accounted for 26 % and 15 Tg N yr<inline-formula><mml:math id="M155" 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> accounted for 20 %
of the global manure N deposition on pastures and rangelands, respectively.
The remaining regions (Oceania, North America and Europe) contributed to
20 % of the global total during 2000–2016. Europe and Oceania saw an
increase in manure N deposition amounts from 1860 to 1960, but since 1980
there has been a significant decrease, partly explained by the onset of N
pollution regulation. Manure N deposition amounts in North America increased
during 1860–1980, but changed slightly from 1960.</p>
      <p id="d1e3318">Oceania showed a continuously decreasing trend of average manure N
deposition rates in pastures and rangelands over the period 1860–2016.
Manure N deposition rates in South America decreased between 1860 and 1960
and then increased afterward until 2016 (Fig. S3c). The significant contrast
of changes in manure N deposition rates in Oceania and South America between
the 1860s and the 1960s is due to the substantial and rapid increase of
grassland areas (Tables S2, S3). Africa and southern Asia saw continuous
increases in manure N deposition rates from 1860 to 2016, whereas Europe and
North America were found to have decreasing deposition rates from the 1980s
(Figs. 5f, S3c).</p>
      <p id="d1e3321">In this study, we identified the top 10 countries (China, Brazil, India,
Ethiopia, United States, Australia, Sudan (former), Pakistan, Argentina
and Nigeria) that together contributed to 48 % of the global total manure
N deposition on pastures and rangelands in 2016. Among these countries,
China (17 %) and Brazil (21 %) were the two largest contributors, with
the similar annual rate of increase of <inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">125</mml:mn></mml:mrow></mml:math></inline-formula> Gg N yr<inline-formula><mml:math id="M157" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
(<inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.99</mml:mn></mml:mrow></mml:math></inline-formula>) during 1961–2016. India was the third
largest contributor, however, at a small increasing rate of 63 Gg N yr<inline-formula><mml:math id="M159" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
(<inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.98</mml:mn></mml:mrow></mml:math></inline-formula>) during 1961–2016. Annual manure N
deposition in Ethiopia PDR was stable during 1961–2000, but since then
rapidly increased at a rate of 117 Gg N yr<inline-formula><mml:math id="M161" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.96</mml:mn></mml:mrow></mml:math></inline-formula>). The United States showed a significant increase of annual manure N
deposition on pastures and rangelands from 1961 to 1975 and then was stable
after 1980. Australia showed a decreasing trend during 1990–2016 at a rate
of 62 Gg N yr<inline-formula><mml:math id="M163" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.92</mml:mn></mml:mrow></mml:math></inline-formula>), whereas in the former
Sudan, Pakistan and Nigeria annual manure N deposition amounts to pastures
and rangelands increased at an annual average rate of 68 (<inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula>), 46
(<inline-formula><mml:math id="M166" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.97</mml:mn></mml:mrow></mml:math></inline-formula>) and 56 (<inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.98</mml:mn></mml:mrow></mml:math></inline-formula>) Gg N yr<inline-formula><mml:math id="M168" 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. There was no significant change in manure N deposition
amounts in Argentina; the annual deposition from 1961 to 2016 was 2.6 Tg N yr<inline-formula><mml:math id="M169" 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>.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <title>Discussion</title>
<sec id="Ch1.S4.SS1">
  <title>Overview of global N inputs to pastures and rangelands</title>
      <p id="d1e3525">The global N cycle has been significantly perturbed by human activity since
at least the industrial revolution. Intense agricultural activities, such as
synthetic N fertilizer production and use, and intensive livestock
production, were identified as major drivers of such change. In this
context, improving estimates of global anthropogenic N inputs to pastures
and rangelands and their consequences, including on <inline-formula><mml:math id="M170" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> emissions, is
important (Galloway et al., 2008; Tian et al., 2016; Xu et al., 2017). In
this study, we generated global datasets of fertilizers N inputs from
livestock, both synthetic and from manure, during the period 1860–2016.
Pastures and rangelands experienced substantial land expansion over the
period of 1860–1998 (Klein Goldewijk et al., 2017). The total amount of mineral
and manure N applied to permanent meadows and pastures increased by 573 %
over the study period, from 15 to 101 Tg N yr<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> from 1860 to 2016.
During 2000–2016, the global mineral N<?pagebreak page183?> fertilizer application to
agriculture was significant, reaching 110 Tg N yr<inline-formula><mml:math id="M172" 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 2016, while
manure N production was 123 Tg N yr<inline-formula><mml:math id="M173" 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> (FAO, 2018; FAOSTAT, 2018),
resulting in a total input of 233 Tg N yr<inline-formula><mml:math id="M174" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. Our estimate of total N
inputs (synthetic N fertilizer: 7.5 Tg N yr<inline-formula><mml:math id="M175" 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>; manure N application:
8.2 Tg N yr<inline-formula><mml:math id="M176" 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>; manure N deposition: 78.1 Tg N yr<inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> to permanent
meadows and pastures (93.8 Tg N yr<inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> accounted for 45 % of global
total N production (manure 114.2 Tg N yr<inline-formula><mml:math id="M179" 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>; synthetic N fertilizer
96.4 Tg N yr<inline-formula><mml:math id="M180" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> during 2000–2016.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <title>Extension of FAO information</title>
      <p id="d1e3677">Our work extends the relevant FAO national-level statistics in order to
provide input drivers for process-based model simulations (e.g.,
NMIP; Tian et al.,
2018, 2019). We furthermore
separated N application rates between pastures and cropland, based on
previous published work. We likewise extended information available in
FAOSTAT by providing spatialized manure N application rates to pastures and a spatialized national-level manure N deposition dataset from 1860 to 2016.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <title>Comparison with other studies</title>
      <p id="d1e3686">We compared our datasets with other existing data sources (Table 2). Our
estimate of world total manure N use on pastures was 58 % and 171 %
higher than that estimated by Stehfest and Bouwman (2006) and Liu et
al. (2010), respectively. However, our estimate was 39 % and 87 % lower than
estimates by Bouwman et al. (2002, 2013, respectively). Critically,
pasture area data varied significantly across different studies. For
example, Bowman et al. (2013) divided grasslands into mixed and pastoral
systems, and estimated grasslands area based on the country- or
regional-level grazing intensity (Table 2). In addition, synthetic
fertilizers were applied to the area of mixed agricultural systems
(grassland and cropland) and manure N was assumed to be applied to both
mixed and pastoral systems. The HYDE 3.2 land use dataset divides the global
grazing area into intensively managed grasslands (pastures), and less
intensive and unmanaged grasslands (rangelands) (Klein Goldewijk et al.,
2017). In this study, we rather assumed that all manure N was applied to
pastures, the latter estimated from the HYDE database (798 Mha). Hence,
pasture area defined in Bowman et al. (2013) was more than 4-fold higher
than the data we used. Consequently, the spatial distribution and annual
total N application differed substantially compared with that in Bowman et al. (2013).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><caption><p id="d1e3692">Comparison of manure and fertilizer N application
amounts between
this study and published datasets. N/A: not available.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.97}[.97]?><oasis:tgroup cols="8">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Bouwman et</oasis:entry>
         <oasis:entry colname="col3">Stehfest and</oasis:entry>
         <oasis:entry colname="col4">Bouwman et</oasis:entry>
         <oasis:entry colname="col5">Chang et</oasis:entry>
         <oasis:entry colname="col6">Liu et</oasis:entry>
         <oasis:entry colname="col7">Lassaletta</oasis:entry>
         <oasis:entry colname="col8"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">al. (2002)<inline-formula><mml:math id="M185" display="inline"><mml:msup><mml:mi/><mml:mtext>a</mml:mtext></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">Bouwman (2006)<inline-formula><mml:math id="M186" display="inline"><mml:msup><mml:mi/><mml:mtext>b</mml:mtext></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">al. (2013)<inline-formula><mml:math id="M187" display="inline"><mml:msup><mml:mi/><mml:mtext>c</mml:mtext></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">al. (2016)<inline-formula><mml:math id="M188" display="inline"><mml:msup><mml:mi/><mml:mtext>a</mml:mtext></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">al. (2010)<inline-formula><mml:math id="M189" display="inline"><mml:msup><mml:mi/><mml:mtext>c</mml:mtext></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">et al. (2014)<inline-formula><mml:math id="M190" display="inline"><mml:msup><mml:mi/><mml:mtext>c</mml:mtext></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">This study<inline-formula><mml:math id="M191" display="inline"><mml:msup><mml:mi/><mml:mtext>c</mml:mtext></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Manure N application</oasis:entry>
         <oasis:entry colname="col2">12.4</oasis:entry>
         <oasis:entry colname="col3">4.8</oasis:entry>
         <oasis:entry colname="col4">57.8</oasis:entry>
         <oasis:entry colname="col5">12.4</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M192" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">2.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">N/A</oasis:entry>
         <oasis:entry colname="col8">7.6</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">(Tg N yr<inline-formula><mml:math id="M193" 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="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Applied area <?xmltex \hack{\hfill\break}?>(Mha)</oasis:entry>
         <oasis:entry colname="col2">625</oasis:entry>
         <oasis:entry colname="col3">N/A</oasis:entry>
         <oasis:entry colname="col4">3358<inline-formula><mml:math id="M194" display="inline"><mml:msup><mml:mi/><mml:mtext>d</mml:mtext></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">1231</oasis:entry>
         <oasis:entry colname="col6">N/A</oasis:entry>
         <oasis:entry colname="col7">N/A</oasis:entry>
         <oasis:entry colname="col8">798</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">N fertilizer application</oasis:entry>
         <oasis:entry colname="col2">4.3</oasis:entry>
         <oasis:entry colname="col3">3.1</oasis:entry>
         <oasis:entry colname="col4">N/A</oasis:entry>
         <oasis:entry colname="col5">3.1</oasis:entry>
         <oasis:entry colname="col6">12.9</oasis:entry>
         <oasis:entry colname="col7">6.5</oasis:entry>
         <oasis:entry colname="col8">6.2</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">(Tg N yr<inline-formula><mml:math id="M195" 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="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Applied area (Mha)</oasis:entry>
         <oasis:entry colname="col2">103</oasis:entry>
         <oasis:entry colname="col3">N/A</oasis:entry>
         <oasis:entry colname="col4">N/A</oasis:entry>
         <oasis:entry colname="col5">39</oasis:entry>
         <oasis:entry colname="col6">N/A</oasis:entry>
         <oasis:entry colname="col7">N/A</oasis:entry>
         <oasis:entry colname="col8">798</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table><?xmltex \begin{scaleboxenv}{.97}[.97]?><table-wrap-foot><p id="d1e3695"><inline-formula><mml:math id="M181" display="inline"><mml:msup><mml:mi/><mml:mtext>a</mml:mtext></mml:msup></mml:math></inline-formula> Estimated in 1995.
<inline-formula><mml:math id="M182" display="inline"><mml:msup><mml:mi/><mml:mtext>b</mml:mtext></mml:msup></mml:math></inline-formula> National-level fertilizer data for 1998. The total grassland
area for N fertilizer and manure was 677 Mha.
<inline-formula><mml:math id="M183" display="inline"><mml:msup><mml:mi/><mml:mtext>c</mml:mtext></mml:msup></mml:math></inline-formula> Estimated in 2000.
<inline-formula><mml:math id="M184" display="inline"><mml:msup><mml:mi/><mml:mtext>d</mml:mtext></mml:msup></mml:math></inline-formula> The grassland area includes both mixed and patrol systems.</p></table-wrap-foot><?xmltex \end{scaleboxenv}?></table-wrap>

      <p id="d1e4067">Similarly, the estimates of N fertilizer use in pastures showed large
variations across studies (Table 1). This study obtained country-level N
fertilizer amounts applied to pastures from the national-level ratios
provided by Lassaletta et al. (2014) and total N amounts applied to soils
provided by FAOSTAT. Thus, the global N fertilizer amount in 2000 was
consistent with that in Lassaletta et al. (2014). Liu et al. (2010) assumed
that 16 % of fertilizer was applied to global grasslands. Their estimate
was roughly twice as high as this study (6.2 Tg N yr<inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> for the year
2000. The estimates by Bowman et al. (2002) and Stehfest and Bouwman (2006)
were 31 % and 50 %, respectively, lower than our estimates in the
corresponding years. Klein Goldewijk et al. (2017) divided land used for
grazing into more intensively used pastures, less intensively used or
unmanaged rangelands. In this study, we assumed N fertilizer was applied to
all global pastures and therefore the total area of intensively managed
grassland was significantly different from the area used in
Bowmann et al. (2002) and Chang et al. (2016).</p>
</sec>
<sec id="Ch1.S4.SS4">
  <title>Changes in N inputs hotspots</title>
      <p id="d1e4091">Overall, southern Asia ranks as a top hotspot of all sources of global N
inputs in pastures and rangelands during the past three decades, causing a
major threat to environmental sustainability and human health in this
region. In the 1860s overall manure N production amounts were similar in
Asia and Europe (Zhang et al., 2017). However, manure N deposition was 2.4
times higher than that in Europe, whereas manure N application was roughly
3 times lower than that in Europe. During 2000–2016, southern Asia
accounted for <inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">42</mml:mn></mml:mrow></mml:math></inline-formula> % of global manure N production.
Consequently, manure N deposition and application amounts in southern Asia
were the highest compared to the rest of the regions between 2000 and 2016.
These increases are due to large increases in animal numbers (e.g., cattle,
sheep and goats) since 1950 (Bouwman et al., 2013; Dangal et al., 2017). For
the rest of the regions, the increases of livestock numbers were also found
in South America and Africa from 1860, whereas livestock numbers in Europe
and North America showed a decreasing trend after 1980 (Dangal et al.,
2017). Thus, besides southern Asia, South America and Africa were hotspots
for manure N deposition during 1860–2016, while manure N deposition amount
has decreased in Europe and North America since the 1980s.</p>
<sec id="Ch1.S4.SS4.SSS1">
  <title>Shifting hotspots of N fertilizer application</title>
      <p id="d1e4109">European countries (e.g., Germany, United Kingdom and Ireland) were
identified as top hotspots of global N fertilizer application in 1961
(Fig. 4b). However, these hotspots have shifted from western Europe towards
southern Asia at the end of the 20th century (Fig. 4c). Southern Asia was
found with the highest N fertilizer application amounts between 2000 and
2016, most concentrated in countries of eastern and southern Asia (e.g., China and
India). China and India together applied 36 % of global total N fertilizer
to pastures and rangelands.</p><?xmltex \hack{\newpage}?>
</sec>
<?pagebreak page184?><sec id="Ch1.S4.SS4.SSS2">
  <title>Shifting hotspots of manure N application</title>
      <p id="d1e4119">Manure application hotspots have moved from European countries to southern Asia
since the 2000s. Between 1860 and 1999, Europe accounted for
50 % of global total manure N application to pastures and experienced a
rapid growth of manure N application, peaking (3.5 Tg N yr<inline-formula><mml:math id="M198" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> in 1986.
In 1860, the highest applications were in the United Kingdom, France and
Germany (Fig. 4d), but by 2016, the highest application was in the North
China Plain (Fig. 4f). China alone applied 29 % of global total manure N
during 2000–2016.</p>
</sec>
<sec id="Ch1.S4.SS4.SSS3">
  <title>Hotspots of manure N deposition</title>
      <p id="d1e4143">Southern Asia, as the hotspot of manure N deposition to pastures and
rangelands, has contributed 31 % of the global total amount during the past
157 years. Also, in Africa and South America substantial increases of manure
N deposition during 1860–2016 were observed. In the 1860s, manure N
deposition from southern Asia, Africa and South America contributed to
65 %, whereas Europe accounted only for 12 % of the global total manure
N deposition. In 1860, the highest deposition rates were observed for New
Zealand, Australia and western Europe (Fig. 4g). In 2016, except for the
above-mentioned regions, the highest deposition rates were in southern and
western Asia, China, western and eastern Africa and South America (Fig. 4i). During
2000–2016, manure N deposition from southern Asia, Africa, and South
America contributed to 80 %, while Europe accounted for 5 % of the
global total amount.</p>
</sec>
</sec>
<sec id="Ch1.S4.SS5">
  <title>Limitations and uncertainties</title>
      <p id="d1e4154">This study attempts to provide an overall estimate of N inputs to global
rangelands and pastures during the period 1860–2016. However, before
these data are used in global models, uncertainties of these datasets need
to be addressed. First, the different definitions of grassland systems used
by the scientific community introduce uncertainties of the spatial patterns
and annual total amounts of N inputs. Chang et al. (2016) generated global
maps of grassland management intensity from 1901 based on modeled net
primary production and the use of grass biomass generated by Herrero
et al. (2013). Their total grassland area substantially differed from pasture area
developed by HYDE 3.1 (Chang et al., 2016). In this study, we used HYDE 3.2
to generate N inputs to global grasslands, defined more appropriately by
using the FAO land use definition of permanent meadows and pastures. This
dataset exactly followed the FAOSTAT data during 1960–2015, and combined
population density data to reconstruct land use prior to 1960. Pastures and
rangelands defined in HYDE 3.2 were based on the intensity of human
management. Although Bouwman et al. (2013) indicated that grassland areas in
their study were also calculated based on the grazing intensity, their total
area (pastures and rangelands) and spatial patterns were obviously different
from HYDE 3.2 (Table 2). Thus, a better understanding of land use is vital
to reduce the uncertainty of estimating N input rates and amounts in
pastures and rangelands.</p>
      <p id="d1e4157">Second, the FAOSTAT database provides country-level manure N applied to
soils; however, this dataset could not be directly applied to study N cycles
on pastures since applications to cropland and pasture soils are not
differentiated. In this study, large uncertainty remains due to the fact that we
separated national-level manure N application on pastures simply based on
pasture area over total agricultural area (cropland, pastures and
rangelands). In previous studies, Bouwman et al. (2013) assumed that 50 %
and only 5 % of the available manure was applied to grasslands in most
industrialized countries and in most developing countries, respectively. Liu
et al. (2010) allocated 34 % of the national total solid manure to
pastures in European countries and Canada, 13 % of the national total
manure to pastures in the United States and 10 % of the national total
manure to pastures in developing countries. Chang et al. (2016) assumed that
manure N application rate changes along with changes in the total ruminant
stocking density. Moreover, the spatialization process of N application
rates might introduce large uncertainty. The spatial pattern of gridded
manure N application rates in our study are correlated with manure
production rates in Zhang et al. (2017). The assumptions and uncertainties
mentioned in<?pagebreak page185?> their study, such as without considering livestock migration,
might cause uncertainty of spatial distribution.</p>
      <p id="d1e4160">Third, studies used different data sources and made various assumptions of
the annual amount of fertilizer N applied on global pastures (Bouwman et
al., 2002; Chang et al., 2016; Lassaletta et al., 2014; Liu et al., 2010;
Stehfest and Bouwman, 2006). Thus, there is a large uncertainty in the total
N application on permanent meadows and pastures globally. Moreover, N
fertilizer application rates by crops were highly investigated and
documented in previous studies. Hence, N fertilizer application datasets
were generated considering crop-specific fertilizer rates and cropland area
in each grid (Lu and Tian, 2017; Mueller et al., 2012; Nishina et al., 2017;
Potter et al., 2010). In reality, N fertilizer application on pastures of
each country is not homogeneous. In this study, we assumed that N fertilizer
application rate in each country was constant, which means fertilizer was
applied evenly in each grid with a pasture area larger than zero. Last,
inside each relevant land use cell pastures and rangelands may be
characterized by different livestock density and deposition rates, which is
not considered in our current datasets. The final manure N deposition would
be highly affected by the proportion of each type of management in the grid cell.
Thus, it is necessary to consider these in the future research.</p>
      <p id="d1e4163">Furthermore, other human-induced sources of N inputs to pastures and
rangelands were not included in our study, which may underestimate total N
received globally. For example, biological N fixation was one of the major N
sources in the terrestrial ecosystem in the absence of human influence
(Cleveland et al., 1999). Pastures and rangelands occupy 25 % of the
earth's ice-free land surface across different latitudes with divergent
biological N fixation abilities. Plant production in temperate grasslands is
proximately limited by N supply due to little N via N fixation; however,
tropical savannahs received a large amount of N through leguminous species
(Cleveland et al., 1999; Vitousek et al., 2013). An estimate of potential N
fixation amount by global grassland systems is <inline-formula><mml:math id="M199" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">46.5</mml:mn></mml:mrow></mml:math></inline-formula> Tg N yr<inline-formula><mml:math id="M200" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>,
with a range of 26.6–66.5 Tg N yr<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> (Cleveland et al.,
1999). Atmospheric N deposition is another major source of N input to
permanent meadows and pastures globally and increased from 2 to 14 Tg N yr<inline-formula><mml:math id="M202" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
for the period 1860–2016 based on the Chemistry–Climate Model
Initiative N deposition fields (Eyring et al., 2013; Tian et al., 2018, 2019).</p>
</sec>
</sec>

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

      <p id="d1e4218">The 0.5<inline-formula><mml:math id="M203" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M204" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.5<inline-formula><mml:math id="M205" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> gridded global datasets of
manure nitrogen deposition, manure nitrogen application and nitrogen
fertilizer application in grassland systems are available at
<ext-link xlink:href="https://doi.org/10.1594/PANGAEA.892940" ext-link-type="DOI">10.1594/PANGAEA.892940</ext-link> (Xu et al., 2018). Data are in
ASCII format. A Supplement is added to the list of all other
parameters used in this study to calculate these three datasets in global
grassland systems.</p>
  </notes>
<sec id="Ch1.S5" sec-type="conclusions">
  <title>Conclusions</title>
      <p id="d1e4255">In the context of increasing livestock production, manure and fertilizer N
inputs to permanent meadows and pastures (pasture and rangeland areas)
globally have increased rapidly since the industrial revolution. However,
datasets of global N inputs are still incomplete. This is the first study
that has attempted to consider major sources of anthropogenic N inputs in
permanent meadows and pastures and hence generated time-series gridded
datasets of manure and fertilizer N application rates and manure deposition
rate during 1860–2016. Our datasets indicated a rapid increase of total N
inputs to pastures and rangelands globally during this period, especially
in the past half a century. The hotspots of grassland N application shifted from
European countries to southern Asia, specifically China and India in the early 21st century, which indicated the spatial transformation of environmental
problems. In this study, we have obtained N data from various sources to
fill the data gap; however, large uncertainties still remain in our datasets
(e.g., N application rate within each country, annual manure application
amounts). More information is needed to improve these datasets in our
further work.</p><supplementary-material position="anchor"><p id="d1e4257">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/essd-11-175-2019-supplement" xlink:title="pdf">https://doi.org/10.5194/essd-11-175-2019-supplement</inline-supplementary-material>.</p></supplementary-material>
</sec><notes notes-type="competinginterests">

      <p id="d1e4267">The authors declare that they have no conflict of
interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e4273">This study has been supported by the National Key R &amp; D
Program of China (grant number: 2017YFA0604702, 2018YFA0606001), NOAA grants
(NA16NOS4780207, NA16NOS4780204), the National Science Foundation (1210360,
1243232), the STS program of the Chinese Academy of Sciences
(KFJ-STS-ZDTP-010-05) and SKLURE grant (SKLURE2017-1-6). We are grateful to FAO
and its member countries for the collection, analysis and dissemination of
fertilizers and land use statistics. We thank Wilfried Winiwarter from the International Institute for Applied Systems Analysis for constructive
comments that have helped improve this study.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: David Carlson<?xmltex \hack{\newline}?>
Reviewed by: two anonymous referees</p></ack><?xmltex \hack{\newpage}?><?xmltex \hack{\newpage}?><ref-list>
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    <!--<article-title-html>Increased nitrogen enrichment and shifted patterns in the world's grassland: 1860–2016</article-title-html>
<abstract-html><p>Production and application to soils of manure excreta from
livestock farming significantly perturb the global nutrient balance and
result in significant greenhouse gas emissions that warm the earth's climate.
Despite much attention paid to synthetic nitrogen (N) fertilizer and manure N
applications to croplands, spatially explicit, continuous time-series
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lacking. We developed three global gridded datasets at a resolution of
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manure N deposition (by grazing animals) rate, synthetic N fertilizer and N
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pastures and rangelands with country-level statistics on livestock manure,
mineral and chemical fertilizers, and land use information for cropland and
permanent meadows and pastures. Based on the new data products, we estimated
that total N inputs, the sum of manure N deposition, manure N application and fertilizer N
application to pastures and rangelands, increased globally from 15 to
101&thinsp;Tg&thinsp;N&thinsp;yr<sup>−1</sup> during 1860–2016. In particular during the period
2000–2016, livestock manure N deposition accounted for 83&thinsp;% of the total
N inputs, whereas manure and fertilizer N application accounted 9&thinsp;% and
8&thinsp;%, respectively. At the regional scale, hotspots of manure N deposition
remained largely similar during the period 1860–2016 (i.e., southern Asia,
Africa and South America); however, hotspots of manure and fertilizer N
application shifted from Europe to southern Asia in the early 21st century.
The new three global datasets contribute to the filling of the previous data gaps of global
and regional N inputs in pastures and rangelands, improving the abilities of
ecosystem and earth system models to investigate the global impacts of N
enrichment due to agriculture, in terms of associated greenhouse gas
emissions and environmental sustainability issues. Datasets are available at
<a href="https://doi.org/10.1594/PANGAEA.892940" target="_blank">https://doi.org/10.1594/PANGAEA.892940</a>.</p></abstract-html>
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