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  <front>
    <journal-meta><journal-id journal-id-type="publisher">BG</journal-id><journal-title-group>
    <journal-title>Biogeosciences</journal-title>
    <abbrev-journal-title abbrev-type="publisher">BG</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Biogeosciences</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1726-4189</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/bg-23-6741-2026</article-id><title-group><article-title>Balancing nitrogen use efficiency, losses and soil nitrogen depletion to evaluate national scale agri-environmental performance over 40 years</article-title><alt-title>Balancing nitrogen use efficiency, losses and soil nitrogen depletion</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Jiang</surname><given-names>Jize</given-names></name>
          <email>jize.jiang@usys.ethz.ch</email>
        <ext-link>https://orcid.org/0000-0001-6985-490X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Winkel</surname><given-names>Lenny H. E.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Wüst-Galley</surname><given-names>Chloé</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Bretscher</surname><given-names>Daniel</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Necpalova</surname><given-names>Magdalena</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Stenke</surname><given-names>Andrea</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-5916-4013</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Six</surname><given-names>Johan</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9336-4185</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Department of Environmental Systems Science, ETH Zurich, Zurich, Switzerland</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Eawag, Swiss Federal Institute of Aquatic Science and Technology, Dübendorf, Switzerland</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Climate and Agriculture Group, Agroscope, Zurich, Switzerland</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>School of Agriculture and Food Science, University College Dublin, Belfield Dublin, Ireland</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Jize Jiang (jize.jiang@usys.ethz.ch)</corresp></author-notes><pub-date><day>24</day><month>September</month><year>2026</year></pub-date>
      
      <volume>23</volume>
      <issue>18</issue>
      <fpage>6741</fpage><lpage>6761</lpage>
      <history>
        <date date-type="received"><day>9</day><month>March</month><year>2026</year></date>
           <date date-type="rev-request"><day>26</day><month>March</month><year>2026</year></date>
           <date date-type="rev-recd"><day>9</day><month>August</month><year>2026</year></date>
           <date date-type="accepted"><day>11</day><month>September</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Jize Jiang et al.</copyright-statement>
        <copyright-year>2026</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://bg.copernicus.org/articles/23/6741/2026/bg-23-6741-2026.html">This article is available from https://bg.copernicus.org/articles/23/6741/2026/bg-23-6741-2026.html</self-uri><self-uri xlink:href="https://bg.copernicus.org/articles/23/6741/2026/bg-23-6741-2026.pdf">The full text article is available as a PDF file from https://bg.copernicus.org/articles/23/6741/2026/bg-23-6741-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e160">Nitrogen (<inline-formula><mml:math id="M1" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula>) is essential for agricultural productivity, but excessive <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs result in substantial losses to the environment. Conducting <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> assessments at national scales is challenging because observational data are limited, especially over long time periods. Here we compiled detailed datasets and performed high-resolution biogeochemical modelling to quantify <inline-formula><mml:math id="M4" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> budgets for Switzerland's diverse agricultural ecosystems over four decades, with a focus on croplands and grasslands (i.e., permanent managed meadows used for livestock feed). Between the 1980s and the 2010s, <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> use efficiency improved from 47 % to 57 % in croplands and from 63 % to 71 % in grasslands, while losses through leaching and gas emissions decreased by 24 % in croplands and 4 % in grasslands. These improvements are closely linked to the implementation of national-scale agri-environmental policies that reduced fertilizer use in the 1990s. However, despite increased efficiency, cropland soils experienced substantial <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> depletion between 1995 and 2011 (<inline-formula><mml:math id="M7" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>23 <inline-formula><mml:math id="M8" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) in croplands. Our results demonstrate that policy reforms have improved agricultural system functioning and reduced losses, but also reveal risks associated with unbalanced soil <inline-formula><mml:math id="M9" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula>, underscoring the need for integrated <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> management for sustainable agriculture.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Board of the Swiss Federal Institutes of Technology</funding-source>
<award-id>ReCLEAN Joint Initiative</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e273">Nitrogen (<inline-formula><mml:math id="M11" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula>) is a vital element supporting life. Before synthetic fertilizers were developed, <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> was often a limiting factor for agricultural productivity (Vitousek and Howarth, 1991). The discovery of the Haber–Bosch process in the early 20th century enabled inert di-nitrogen (<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:mrow></mml:math></inline-formula>) gas to be converted to biologically available <inline-formula><mml:math id="M14" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> (in the form of ammonia), so-called “reactive nitrogen” (<inline-formula><mml:math id="M15" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) (Erisman et al., 2008), and boosted fertilizer production. Since the 1970s, the rapid increase of synthetic fertilizer use has greatly facilitated crop production (Fowler et al., 2013; Galloway et al., 2013). Nearly half of the global population are nourished by the <inline-formula><mml:math id="M16" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> fertilizer produced using the Haber-Bosch process (Erisman et al., 2008). However, large amounts of <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> are unintentionally lost to the environment, causing a wide range of environmental damages (Galloway et al., 2003; Sutton et al., 2011). These <inline-formula><mml:math id="M18" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses comprise gaseous emissions to the atmosphere, such as ammonia (<inline-formula><mml:math id="M19" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), nitric oxide (<inline-formula><mml:math id="M20" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula>), nitrous oxide (<inline-formula><mml:math id="M21" 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="M22" 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:mrow></mml:math></inline-formula>, and leaching of nitrate (<inline-formula><mml:math id="M23" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>) into groundwater; these losses negatively affect air, water and soil quality (Anderson et al., 2003; Dodds and Smith, 2016; Moldanová et al., 2011; Sutton et al., 2013); damage ecosystems and biodiversity (Krupa, 2003; Sutton et al., 2020); and contribute to climate warming (Stocker et al., 2013; Zhu et al., 2025).</p>
      <p id="d2e404">To evaluate the <inline-formula><mml:math id="M24" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> performance of a system and the associated environmental impacts, <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> use efficiency (NUE) is a widely used indicator. NUE is defined as the ratio of <inline-formula><mml:math id="M26" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> outputs to <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs, with higher NUE indicating more of the inputs going towards their intended use. For cropping systems, NUE is calculated as the <inline-formula><mml:math id="M28" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> in harvested products divided by total <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> input (i.e., synthetic and organic fertilizers, biological <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> fixation and atmospheric <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> deposition). It is usually reported with other indicators describing the magnitude of <inline-formula><mml:math id="M32" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> use, such as <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> yield or <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> surplus (difference between the <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs and outputs). The NUE approach can be extended to the national and global level to track efficiency changes over time. It has been reported that global average NUE declined from 68 % to 45 % between 1961 and 1980 and subsequently stabilized over the next three decades (Lassaletta et al., 2014). In many countries, marked reductions in NUE resulted from intensified fertilization, which also led to elevated <inline-formula><mml:math id="M36" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses (Lassaletta et al., 2014). These issues underscore the need for evaluation of agri-environmental performance by means of robust <inline-formula><mml:math id="M37" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> indicators and advanced methodologies. A common approach is <inline-formula><mml:math id="M38" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> budgets (Oberson et al., 2024; Oenema et al., 2003; Zhang et al., 2015, 2021), which offer an insightful understanding of <inline-formula><mml:math id="M39" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> sources and fates by quantifying <inline-formula><mml:math id="M40" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs (i.e., synthetic and organic fertilizers, biological <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> fixation and atmospheric <inline-formula><mml:math id="M42" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> deposition) and outputs (i.e., <inline-formula><mml:math id="M43" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> removed in harvest and various loss pathways). This approach is increasingly recognized by researchers, farmers, policy makers and other stakeholders as a critical tool for understanding the <inline-formula><mml:math id="M44" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> cycle, informing decision-making and promoting better management practices for pollution mitigation (Quemada et al., 2020; Zhang et al., 2021). However, a major limitation of existing <inline-formula><mml:math id="M45" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> budget studies is the lack of spatial and temporal data to estimate <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> budgets at regional scale over time. Hence, understanding how <inline-formula><mml:math id="M47" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> budgets, and soil <inline-formula><mml:math id="M48" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> changes, especially at large spatial and temporal scales, remains a critical research need. One way to overcome this lack of spatial and temporal data is to use well-calibrated and validated state-of-the-art biogeochemical ecosystems models, such as DayCent, DNDC, EPIC, etc., to provide reliable estimate on ecosystem-wide <inline-formula><mml:math id="M49" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> budgets across space and time.</p>
      <p id="d2e619">Swiss agriculture is fundamentally shaped by pronounced topographic heterogeneity, broad climatic gradients and long traditions of agro-pastoral management. The country's agricultural landscape covers approximately 1.5 million <inline-formula><mml:math id="M50" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ha</mml:mi></mml:mrow></mml:math></inline-formula> (BFS, 2024) and can be structurally classified into three primary land use categories: <italic>cropland</italic>, <italic>managed grassland</italic> (meadow and pasture), and <italic>summer pasture</italic> (seasonal alpine pasture). Each of these systems fulfils distinct functional roles and exhibits unique spatial distributions. Croplands provide the basis for intensive arable production and grasslands constitute the primary resource base for Switzerland's ruminant livestock sector. From 1950 onwards, agricultural intensification generated substantial productivity gains but also exacerbated environmental problems (Spiess, 2011). Nitrate leaching from farmland, for example, has increased <inline-formula><mml:math id="M51" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> loads not only to local lakes and rivers (Gächterr et al., 2004; Müller et al., 2022), but also to the river Rhine, contributing to eutrophication in the North Sea (Prasuhn and Sieber, 2005). These adverse impacts prompted revisions of Swiss agricultural and agri-environmental policies to mitigate <inline-formula><mml:math id="M52" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> pollution (Decrem et al., 2007; Herzog et al., 2008).</p>
      <p id="d2e656">In this study, we used the biogeochemical model DayCent to simulate <inline-formula><mml:math id="M53" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> cycling for agricultural land, with Swiss agriculture as an exemplary case. We assembled spatially explicit datasets of <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs, meteorological variables, soil properties, land use, crop rotations and local management practices at the national scale. Applying DayCent at a high spatial resolution of 1 <inline-formula><mml:math id="M55" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M56" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1 <inline-formula><mml:math id="M57" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, we constructed <inline-formula><mml:math id="M58" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> budgets and calculated soil <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> changes for two major agricultural ecosystems (croplands and grasslands; hereafter “grasslands” means “managed meadow”) over the period 1981–2020. We developed an informative analytical diagram that holistically evaluates NUE, <inline-formula><mml:math id="M60" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses and soil <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> stocks. We found improved NUE and decreased <inline-formula><mml:math id="M62" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses, as well as a heightened risk of soil <inline-formula><mml:math id="M63" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> depletion in Swiss agriculture. This result points to the need for a more integrated <inline-formula><mml:math id="M64" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> assessment to balance agroecosystem performance, losses to the environment and soil resource maintenance at regional and national scales.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Materials and Methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>DayCent model</title>
      <p id="d2e771">DayCent is a process-based biogeochemical model that simulates the dynamics of both nitrogen and carbon cycling across various terrestrial ecosystems (Del Grosso et al., 2001). DayCent integrates environmental drivers to predict plant growth, soil organic matter (SOM) decomposition, trace gases and changes in other ecosystem parameters within the soil-plant-atmosphere continuum on a daily timestep. With intermediate complexity and the feasibility to be calibrated to local conditions, DayCent is widely used for evaluating ecosystem responses to land use change, management practices and climate variability (Del Grosso et al., 2005; Gurung et al., 2020, 2021; Laub et al., 2024; McClelland et al., 2025).</p>
      <p id="d2e774">In this study, we used the DayCent17centEVI model version to quantify <inline-formula><mml:math id="M65" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> budgets for two Swiss agricultural ecosystems: (a) croplands and (b) grasslands. The SOM in DayCent is split into three compartmental pools, namely active, slow and passive, with different potential decomposition rates. These SOM pools receive plant materials from above and belowground litter. Simulated <inline-formula><mml:math id="M66" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> flows follow <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> flows depending on the <inline-formula><mml:math id="M68" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi><mml:mo>:</mml:mo><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> ratio which varies from 15 to 3 for the active pool, from 20 to 12 for the slow pool, and from 10 to 7 for the passive pool. For newly formed surface biomass, the <inline-formula><mml:math id="M69" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi><mml:mo>:</mml:mo><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> ratio is a function of the <inline-formula><mml:math id="M70" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> content of the decomposed material, with higher <inline-formula><mml:math id="M71" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi><mml:mo>:</mml:mo><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> ratio for lower <inline-formula><mml:math id="M72" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> content. The model accounts for both organic and mineral <inline-formula><mml:math id="M73" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> and the relevant processes, including mineralization–immobilization turnover, nitrification and denitrification. These transformations are regulated by environmental factors such as temperature, soil moisture, soil texture, SOM content and oxygen availability. Nitrogen inputs are modelled through simulated atmospheric deposition and biological <inline-formula><mml:math id="M74" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> fixation, and through input data to the model that record application of both organic and synthetic fertilizers. Simulated losses are outgassing of <inline-formula><mml:math id="M75" 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>, <inline-formula><mml:math id="M76" 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:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M77" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M78" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to the atmosphere and leaching (e.g., nitrate and organic forms). It is crucial to acknowledge that <inline-formula><mml:math id="M79" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> volatilization in DayCent is not sophisticated, which may lead to underestimation of <inline-formula><mml:math id="M80" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions and overestimation of nitrate leaching.</p>
      <p id="d2e936">DayCent enables explicit parameterization of agricultural management practices. It can dynamically accommodate crop systems (e.g., crop types and rotations), cultivation, irrigation, nutrient inputs (e.g., fertilization) and harvest, with the timing of each management event specified on a daily basis in simulations.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Model input data</title>
      <p id="d2e947">DayCent is driven by weather data and soil data. Three basic meteorological variables include: daily maximum and minimum temperature, and precipitation. We used the 1 <inline-formula><mml:math id="M81" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M82" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1 <inline-formula><mml:math id="M83" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> resolution weather data from the Federal Office of Meteorology and Climatology (MeteoSwiss, 2025). Inputs of site-specific soil properties such as soil texture (sand, silt, clay), soil pH and SOM were obtained from a recently developed national soil database by the National Competence Center for Soil (“Kompetenzzentrum Boden”) (Stumpf et al., 2024). Soil properties originally available at 30 <inline-formula><mml:math id="M84" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M85" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 30 <inline-formula><mml:math id="M86" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> resolution were aggregated to the 1 <inline-formula><mml:math id="M87" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> model grid using conservative remapping implemented in the Climate Data Operator (CDO) (Schulzweida, 2023). This approach preserves area-weighted means and is useful in upscaling environmental datasets to coarser modelling resolutions (Hashimoto et al., 2025). Because the model operates at 1 <inline-formula><mml:math id="M88" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> spatial resolution, harmonization of all input datasets was required to ensure consistency across input variables. While this aggregation inevitably smooths fine-scale heterogeneity in soil properties, the most prominent features of the geospatial distribution of soil variables at the national scale are preserved. Other required soil properties including bulk density, field capacity, wilting point and saturated hydraulic conductivity were determined by the pedotransfer functions embedded in the DayCent utility programme (Saxton et al., 1986; Saxton and Rawls, 2006), and root fractions were used the default values in DayCent.</p>
      <p id="d2e1013">In addition to meteorological and soil inputs, DayCent also needs data of land use and management practices. Our modelling simulations focused on two major Swiss land use categories: croplands and grasslands. Historical land use and areas of croplands and grasslands were from Federal Statistical Office (“Bundesamt für Statistik”, BFS) (BFS, 2024). Grasslands in Switzerland are categorised into three major types: (1) meadows, (2) pastures and (3) summer pastures. In this study, we focused on permanent meadows, which are managed for grass production for livestock feed. According to the definitions used for agricultural subsidies and the national fertilizer guidelines (Sinaj et al., 2017), meadows are further divided into intensively-managed, less intensively-managed and extensively-managed meadows, depending on the intensity of management practices (fertilization level and mowing events). These categories correspond to categories defined for agricultural subsidies and the national fertilizer guidelines (Sinaj et al., 2017), meaning category-specific data are available. Annual areas of different cropping systems and grasslands are provided for 24 agri-climatic zones. These are defined in Wüst-Galley et al. (2020) and have similar broad climatic conditions and agricultural management; they incorporate geographical (i.e., regions) as well as topographical differences in Switzerland (i.e., valley, hill, mountain and summer pastures).</p>
      <p id="d2e1016">A crucial input for DayCent simulations is the amount of <inline-formula><mml:math id="M89" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M90" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> applied to soils from both organic and synthetic fertilizers. Organic fertilizers comprise animal manure as well as compost, sewage sludge and digestates as assessed by the Swiss National Greenhouse Gas Inventory (NIR, <uri>https://www.bafu.admin.ch/bafu/en/home/topics/climate/state/data/climate-reporting/ghg-inventories/latest.html</uri>, last access: 28 October 2024). Animal manure, which represents by far the largest amount of organic fertilizer, is assessed considering livestock numbers, livestock species specific excretion rates for <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M92" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> and respective losses from stables and manure storage systems. The allocation of organic fertilizers to different crops or grasslands is carried out in according with the following factors, as described in Wüst-Galley et al. (2020): the tendency of farms to apply manure, slurry or poultry manure to different broad crop groups, from Kupper et al. (2022); the relative fertilizer requirements of different grassland types, across different elevation zones, as indicated in Sinaj et al. (2017). For synthetic fertilizer, we used the fertilizer import data from the NIR. We assumed that all imported fertilizer was applied to the fields in the corresponding year as ammonium nitrate which is the major type of synthetic fertilizer. Other management data such as cultivation, planting, fertilization and harvest were taken from the national “Principles for the fertilisation of agricultural crops in Switzerland” book (Sinaj et al., 2017) and modelling setups (Lee et al., 2020b, a).</p>
      <p id="d2e1054">During the 1990s in Switzerland, important nationwide agri-environmental policy reforms introduced subsidy schemes in order to mitigate nutrient losses. Meanwhile, there was a significant increase in livestock productivity (i.e., milk yield) during this period and in line with decreased livestock population without lowering production, resulting in decreased <inline-formula><mml:math id="M93" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs from livestock manure. These led to substantial reductions in synthetic and organic fertilizer application to agricultural soils. The fertilizer input data we used reflect these changes. In addition, the use of cover crops also forms part of the agri-environmental policy that was implemented in the late 1990s, with the aim of reducing soil erosion and nutrient leaching, particularly in winter months. However, this potentially relevant measure was not covered by our study due to insufficient statistical data. Other agricultural practices were also assumed to remain unchanged.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Model simulations</title>
      <p id="d2e1073">The DayCent model that we used has been calibrated and tested by previous modelling studies (Dos Reis Martins et al., 2022, 2024; Necpalova et al., 2018). We used reported values of parameters controlling plant growth (both <inline-formula><mml:math id="M94" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M95" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> yields) and <inline-formula><mml:math id="M96" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> processes (e.g., nitrification and denitrification) by these studies which evaluated against measurement data from several Swiss long-term experiments for croplands (Emmel et al., 2018; Hüppi et al., 2015; Krauss et al., 2017; Mayer et al., 2015) and Swiss Fluxnet sites for grasslands (Feigenwinter et al., 2023b). In this study, the regional simulations for Switzerland were performed at 1 <inline-formula><mml:math id="M97" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M98" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1 <inline-formula><mml:math id="M99" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> grids for the time period from 1981 to 2020. In total, there are 14 926 and 36 140 simulated grids for croplands and grasslands, respectively. A complete round of DayCent simulations had two stages: historical spin-up and present baseline. We followed Lee et al. (2020a, b) and assumed five spin-up phases characterised in Swiss agriculture: (1) native forest (between 0 and 1399; until equilibrium), (2) emergence of agriculture (between 1400 and 1750), (3) agricultural revolution (between 1751 and 1850), (4) agricultural intensification (between 1851 and 1950), and (5) modern agriculture (from 1950 to 1980). After the historical runs, DayCent was kept running for the studied time period (i.e., 1981 to 2020).</p>
<sec id="Ch1.S2.SS3.SSS1">
  <label>2.3.1</label><title>Simulations for croplands and crop rotation scheme</title>
      <p id="d2e1131">We included 15 crops in the simulations for croplands, which together account for over 95 % of Swiss croplands. These crops are grass-clover ley (i.e., temperate grassland in crop rotation), winter wheat, silage maize, winter barley, rapeseed, sugar beet, grain maize, potato, triticale, spelt, sunflower, pea, rye, soybean and oat. Among these simulated crops, grass-clover ley and cereals (winter wheat, maize, barley) account for a dominant share of over 60 % of cropland areas. In Switzerland, crop rotation is a common practice that is based on pedoclimatic conditions and production need. For example, a forage-crop rotation with 2 years of temporary grass followed by maize and winter wheat in the next 2 years is a common sequence. However, national crop rotations data at fine spatial scale (e.g., 1 <inline-formula><mml:math id="M100" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M101" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1 <inline-formula><mml:math id="M102" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>) are not currently available. Therefore, we derived the crop rotations using the probability scheme in Lee et al. (2020a, b) for the entire country, which is developed from survey, existing literature, long-term experiments in the country and expert judgement (see Table S1 in the Supplement). This crop rotation scheme incorporates nationwide guidance and recommendations for “best practice” aiming to avoid harmful development such as pests, diseases or pathogens. On the other hand, it also reflects what happened in real farming practices that were sourced from surveys of farmers. The purpose of developing such a scheme is to ensure that our simplified rotation in the model can replicate the reality as much as possible, given the limited information and resources. We then used this probability rotational scheme to predict sequences and determine the most likely crop rotation through an iterative process, while ensuring our modelling results for the areas of crops consistent with statistical data at both the national level and regional level (i.e., 24 agro-climatic zones) (Wüst-Galley et al., 2020). This approach distributed the crop types following a ranked order based on crop areas, i.e., the crop type with the largest area is selected first, then the crop type with the second largest area, until all crop types are selected.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS2">
  <label>2.3.2</label><title>Simulations for grasslands</title>
      <p id="d2e1165">For grassland (meadow) simulations, the number of mowing events and timing were sourced from grassland-use intensity maps for Switzerland (Weber et al., 2024). These grassland-use intensity maps were generated from <inline-formula><mml:math id="M103" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Sentinel</mml:mi><mml:mtext>-</mml:mtext><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> and Landsat 8 satellite data for Switzerland using a rule-based algorithm that identifies drops in vegetation index time series (Weber et al., 2024). Since these maps were mainly produced for 2018–2021, we chose the data of year 2020 as the baseline because year 2020 has been assessed by independent publicly available reference data. In principle, fertilization levels such as number of fertilization and application rates are influenced by the management intensity (more mowing events, higher fertilizer inputs) and negatively related to altitude, with less fertilizer inputs in more elevated places (Sinaj et al., 2017). Fertilizer application is assumed to take place within a 2-week window after a mowing event. We developed a fertilization timing scheme based on management practices between 2005 and 2020 of an intensively-managed grassland reported by Feigenwinter et al. (2023a, b) and Hörtnagl et al. (2025) and applied to the whole country (see Fig. S1 in the Supplement). Grazing is not simulated in this study, of which deposited livestock excretion has been accounted in the <inline-formula><mml:math id="M104" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M105" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> data we used.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS3">
  <label>2.3.3</label><title>Sensitivity tests and scenario simulations</title>
      <p id="d2e1204">To better understand the sensitivity of simulated <inline-formula><mml:math id="M106" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> dynamics to environmental conditions, we conducted a series of one-factor-at-a-time sensitivity tests using the baseline simulation as a reference. To assess the influence of meteorological drivers, we applied uniform changes of (i) <inline-formula><mml:math id="M107" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2 <inline-formula><mml:math id="M108" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> in air temperature and (ii) <inline-formula><mml:math id="M109" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 20 % in precipitation, while keeping all other inputs unchanged. Air temperature and precipitation were selected because they are the primary meteorological drivers controlling plant growth and soil <inline-formula><mml:math id="M110" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M111" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> cycling in DayCent.</p>
      <p id="d2e1256">In addition, we performed three fertilizer management scenarios: (i) replacement of all organic fertilizer with synthetic fertilizer while maintaining the same total <inline-formula><mml:math id="M112" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> application rate, (ii) replacement of all synthetic fertilizer with organic fertilizer while maintaining the same total <inline-formula><mml:math id="M113" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> application rate, and (iii) a 20 % reduction in both synthetic and organic fertilizer application rates. Each scenario was simulated independently, with all other model inputs and management practices identical to those of the baseline simulation. Changes in total <inline-formula><mml:math id="M114" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> input, <inline-formula><mml:math id="M115" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> harvest, NUE, total <inline-formula><mml:math id="M116" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses and soil <inline-formula><mml:math id="M117" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> stock change were evaluated relative to the baseline simulation.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Nitrogen budgets construction</title>
      <p id="d2e1317">We analysed total <inline-formula><mml:math id="M118" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs, <inline-formula><mml:math id="M119" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> outputs, <inline-formula><mml:math id="M120" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> surplus, NUE, <inline-formula><mml:math id="M121" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses and soil <inline-formula><mml:math id="M122" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> balance from the DayCent simulations, and quantified <inline-formula><mml:math id="M123" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> budgets. The total <inline-formula><mml:math id="M124" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs (<inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:msub><mml:mtext>N</mml:mtext><mml:mtext>in</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) to agricultural systems (croplands and grasslands) include organic (<inline-formula><mml:math id="M126" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">org</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and synthetic fertilizers (<inline-formula><mml:math id="M127" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">syn</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), biological <inline-formula><mml:math id="M128" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> fixation (<inline-formula><mml:math id="M129" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">BNF</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and atmospheric <inline-formula><mml:math id="M130" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> deposition (<inline-formula><mml:math id="M131" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">dep</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>). As mentioned in Sects. 2.1 and 2.2, BNF (including both non-symbiotic soil <inline-formula><mml:math id="M132" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> fixation and symbiotic plant <inline-formula><mml:math id="M133" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> fixation) and atmospheric deposition are simulated by the DayCent model, whereas organic and synthetic fertilizers are model inputs.

            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M134" display="block"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub></mml:mrow><mml:mo>=</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">org</mml:mi></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">syn</mml:mi></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">BNF</mml:mi></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">dep</mml:mi></mml:msub></mml:mrow></mml:mrow></mml:math></disp-formula></p>
      <p id="d2e1508">Total <inline-formula><mml:math id="M135" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> outputs (<inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:msub><mml:mtext>N</mml:mtext><mml:mtext>out</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) include <inline-formula><mml:math id="M137" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> yields of harvested products (<inline-formula><mml:math id="M138" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">yield</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and all forms of <inline-formula><mml:math id="M139" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses (<inline-formula><mml:math id="M140" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">loss</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>).

            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M141" display="block"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">out</mml:mi></mml:msub></mml:mrow><mml:mo>=</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">yield</mml:mi></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">loss</mml:mi></mml:msub></mml:mrow></mml:mrow></mml:math></disp-formula></p>
      <p id="d2e1596"><inline-formula><mml:math id="M142" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> surplus is total <inline-formula><mml:math id="M143" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs minus <inline-formula><mml:math id="M144" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> yields.

            <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M145" display="block"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">surplus</mml:mi></mml:msub></mml:mrow><mml:mo>=</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub></mml:mrow><mml:mo>-</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">yield</mml:mi></mml:msub></mml:mrow></mml:mrow></mml:math></disp-formula></p>
      <p id="d2e1649">The NUE is defined as the harvested crop or grass <inline-formula><mml:math id="M146" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M147" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">yield</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) divided by total <inline-formula><mml:math id="M148" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs (Lassaletta et al., 2014; Zhang et al., 2021)

            <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M149" display="block"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">NUE</mml:mi></mml:mrow><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">yield</mml:mi></mml:msub></mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>×</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></disp-formula></p>
      <p id="d2e1708">For <inline-formula><mml:math id="M150" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses (<inline-formula><mml:math id="M151" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">loss</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), we included gaseous losses (<inline-formula><mml:math id="M152" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">gas</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M153" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M154" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M155" 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="M156" 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:mrow></mml:math></inline-formula>) and leaching (<inline-formula><mml:math id="M157" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">leaching</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; e.g., nitrate and organic <inline-formula><mml:math id="M158" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> compounds)

            <disp-formula id="Ch1.E5" content-type="numbered"><label>5</label><mml:math id="M159" display="block"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">loss</mml:mi></mml:msub></mml:mrow><mml:mo>=</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">gas</mml:mi></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">leaching</mml:mi></mml:msub></mml:mrow></mml:mrow></mml:math></disp-formula></p>
      <p id="d2e1831">The soil <inline-formula><mml:math id="M160" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> balance (<inline-formula><mml:math id="M161" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">soil</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula>) is calculated by subtracting all <inline-formula><mml:math id="M162" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> outputs including harvested crop <inline-formula><mml:math id="M163" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M164" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses from total <inline-formula><mml:math id="M165" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> input

            <disp-formula id="Ch1.E6" content-type="numbered"><label>6</label><mml:math id="M166" display="block"><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">soil</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mo>=</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub></mml:mrow><mml:mo>-</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">out</mml:mi></mml:msub></mml:mrow><mml:mo>=</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">org</mml:mi></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">syn</mml:mi></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">BNF</mml:mi></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">dep</mml:mi></mml:msub></mml:mrow></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>-</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">yield</mml:mi></mml:msub></mml:mrow><mml:mo>-</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">loss</mml:mi></mml:msub></mml:mrow></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula></p>
      <p id="d2e1982">Specifically, <inline-formula><mml:math id="M167" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> flows expressed as percentages of total <inline-formula><mml:math id="M168" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs were calculated as:

            <disp-formula id="Ch1.E7" content-type="numbered"><label>7</label><mml:math id="M169" display="block"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">%</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">flow</mml:mi></mml:msub></mml:mrow><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">flow</mml:mi></mml:msub></mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>×</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></disp-formula></p>
      <p id="d2e2035">Similarly, the relative changes in soil <inline-formula><mml:math id="M170" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> stock were calculated as:

            <disp-formula id="Ch1.E8" content-type="numbered"><label>8</label><mml:math id="M171" display="block"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">%</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">Δ</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">soil</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">soil</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>×</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></disp-formula></p>
      <p id="d2e2090">These results are shown in Figs. 5 and 6.</p>
</sec>
<sec id="Ch1.S2.SS5">
  <label>2.5</label><title>Uncertainty evaluation</title>
      <p id="d2e2102">We used a Monte Carlo ensemble approach (200 iterations) to quantify the uncertainty in simulated <inline-formula><mml:math id="M172" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses, NUE and soil <inline-formula><mml:math id="M173" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> balance arising from key processes represented in DayCent. Nine model parameters regulating <inline-formula><mml:math id="M174" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> leaching, nitrification and denitrification were selected for the analysis (details are presented in Table S2 in the Supplement). Parameter ranges were defined using probability distributions based on the default values and calibrated ranges reported in previous studies (Dos Reis Martins et al., 2022, 2024). Because these parameters also influence plant <inline-formula><mml:math id="M175" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> uptake through their effects on <inline-formula><mml:math id="M176" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> loss pathways, plant-specific parameters were not evaluated separately.</p>
      <p id="d2e2145">To reduce the computational burden associated with the large number of simulations, we created a representative subset of grid cells using Conditioned Latin Hypercube Sampling (cLHS). This subset (<inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">400</mml:mn></mml:mrow></mml:math></inline-formula>) preserved the spatial variability of climate, soil properties and fertilization intensity across Switzerland. For each Monte Carlo iteration, DayCent was run for all selected grid cells using a unique set of parameter values. Simulated <inline-formula><mml:math id="M178" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses, NUE and soil <inline-formula><mml:math id="M179" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> balance were then calculated and compared with the baseline simulation. Uncertainty in national-scale estimates was quantified from the distribution of ensemble results and reported as 95 % confidence intervals (CI).</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e2178">Nitrogen inputs from fertilizers to agricultural land in Switzerland. Fertilizers include livestock manure and synthetic fertilizers. Values from compiled datasets (see Methods). Shaded grey area represents the period in the 1990s when national policies and measures were implemented in the agricultural sector. Important events are shown along the timeseries of fertilizer <inline-formula><mml:math id="M180" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs. Values in the parenthesis are corresponding years. Note that the <inline-formula><mml:math id="M181" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula>-axis starts from 140 <inline-formula><mml:math id="M182" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kt</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. PEP is Proof of Ecological Performance.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/6741/2026/bg-23-6741-2026-f01.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Nitrogen inputs through fertilization decreased in the 1990s</title>
      <p id="d2e2238">Our compiled <inline-formula><mml:math id="M183" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> datasets show that livestock manure and synthetic fertilizers, the dominant <inline-formula><mml:math id="M184" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> sources for crop and grass production in Switzerland, decreased substantially from 204 to 156 <inline-formula><mml:math id="M185" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kt</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> between the 1980s and the 2010s. This result reflects policy interventions introduced in the 1990s to reduce agricultural <inline-formula><mml:math id="M186" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses. In Switzerland, this period marked a broader societal and political shift, moving priorities from a narrow focus on maximizing food production to more sustainable and environmentally responsible farming approaches. In 1993, agricultural policy was reframed (Decrem et al., 2007; Herzog et al., 2008; Spiess, 2011), with direct payments (subsidies) introduced within an agri-environmental scheme, replacing the earlier model of guaranteed government purchases (Herzog et al., 2008). Moreover, integrated and organic production systems were promoted by additional incentives, organic farming and other ecological programmes. The constitutional amendment in 1996 further reinforced this direction by formally recognizing the multiple roles of agriculture, including ecological stewardship. Cross-compliance were confirmed in 1998 through the Proof of Ecological Performance (PEP) (Decrem et al., 2007; Herzog et al., 2008; Spiess, 2011), which made direct payments conditional to farms maintaining balanced nutrient budgets. These reforms collectively led to a <inline-formula><mml:math id="M187" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 25 % reduction in average synthetic <inline-formula><mml:math id="M188" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> fertilizer consumption during the 1990s (Herzog et al., 2008), accompanied by a comparable decline in manure application due to decreased livestock numbers. By 2005, 97 % of agricultural land in Switzerland was reported being managed in accordance with PEP standards (Herzog et al., 2008).</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e2303">Modelled annual mean total <inline-formula><mml:math id="M189" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> input, <inline-formula><mml:math id="M190" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> yield and NUE of Swiss croplands and grasslands from 1981 to 2020. Total <inline-formula><mml:math id="M191" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> input and <inline-formula><mml:math id="M192" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> yield of croplands <bold>(A)</bold> and grasslands <bold>(B)</bold>. In panels <bold>(A)</bold> and <bold>(B)</bold>, the dashed black lines and dotted black lines represent 90 % and 50 % NUE, respectively and the red-blue scale shows the year. Note the axes do not start from zero. <bold>(C)</bold> NUE of croplands (yellow) and grasslands (green). Note the <inline-formula><mml:math id="M193" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula>-axis starts from 30 %.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/6741/2026/bg-23-6741-2026-f02.png"/>

        </fig>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e2369">The EUNEP Framework of the NUE indicator diagram of Swiss croplands and decadal geographical distributions of six categorised agricultural land. <bold>(A)</bold> 1981–1990, <bold>(B)</bold> 1991–2000, <bold>(C)</bold> 2001–2010, <bold>(D)</bold> 2011–2020. For the NUE diagram, the dashed black lines are 90 % NUE, and dotted black lines are 50 % NUE. The solid red lines and dashed orange lines represent desired maximum <inline-formula><mml:math id="M194" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> surplus and desired minimum <inline-formula><mml:math id="M195" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> yield, which are the mean values of simulated <inline-formula><mml:math id="M196" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> surplus and <inline-formula><mml:math id="M197" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> yield for each agroecosystem in the 1980s, which set goals for improvement in the following decades. Six regimes are (note the colour scheme is different from the originally proposed diagram; EU Nitrogen Expert Panel, 2016): characteristic operating space (COS – shaded green area), excessive pollution (EP – shaded red area), insufficient productivity (IP – shaded purple area), EP and inefficient use of nitrogen (EP/IUN – shaded orange area), EP/IUN/IP (shaded light yellow area), risk of soil nitrogen mining (RSNM – shaded grey area). The dark blue and light blue circles represent data from 1981–1990 and 2011–2020, respectively. The size of the circle is proportional to the summed area of croplands or grasslands that is aggregated by <inline-formula><mml:math id="M198" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> yield and total <inline-formula><mml:math id="M199" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> input (precision at 0.1 <inline-formula><mml:math id="M200" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), with legends shown in the figure.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/6741/2026/bg-23-6741-2026-f03.png"/>

        </fig>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e2462">The EUNEP Framework of the NUE indicator diagram of Swiss grasslands and decadal geographical distributions of six categorised agricultural land. <bold>(A)</bold> 1981–1990, <bold>(B)</bold> 1991–2000, <bold>(C)</bold> 2001–2010, <bold>(D)</bold> 2011–2020. Grasslands refer to managed meadows only, while managed pastures and summer pastures for grazing are not included.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/6741/2026/bg-23-6741-2026-f04.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Nitrogen use efficiency of croplands and grasslands</title>
      <p id="d2e2491">DayCent simulations suggest that NUE increased in both croplands and grasslands over the simulated 40 years. Nitrogen yields in both agricultural ecosystems remained stable from 1981 to 2020, despite a decline in <inline-formula><mml:math id="M201" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs, resulting in notable increases in NUE (Figs. 2–4). The model results are consistent with data reported by the Swiss Farmers' Union, which showed stable yields for major crops between 1991 and 2013 (Figs. S2 and S3 in the Supplement). The most pronounced improvements occurred in the 1990s, coinciding with the implementation of policy measures aimed at controlling agricultural <inline-formula><mml:math id="M202" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> surplus. Grasslands show higher <inline-formula><mml:math id="M203" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> yields and NUE compared with croplands, with a steady increasing trend with relatively low inter-annual variability (Fig. 2C).</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e2521">Categorised agricultural land in Switzerland based on the EUNEP framework. Total areas of croplands and grasslands<sup>∗</sup> and percentage of areas that belong to six EUNEP categories in the 1980s and 2010s. <sup>∗</sup> Grasslands refer to managed meadows only, while managed pastures and summer pastures for grazing are not included.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="9">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Period</oasis:entry>
         <oasis:entry colname="col3">Areas (<inline-formula><mml:math id="M206" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kha</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">COS (%)</oasis:entry>
         <oasis:entry colname="col5">EP (%)</oasis:entry>
         <oasis:entry colname="col6">EP/IUN (%)</oasis:entry>
         <oasis:entry colname="col7">EP/IUN/IP (%)</oasis:entry>
         <oasis:entry colname="col8">IP (%)</oasis:entry>
         <oasis:entry colname="col9">RSNM (%)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Cropland</oasis:entry>
         <oasis:entry colname="col2">1981–1990</oasis:entry>
         <oasis:entry colname="col3">435</oasis:entry>
         <oasis:entry colname="col4">26</oasis:entry>
         <oasis:entry colname="col5">0</oasis:entry>
         <oasis:entry colname="col6">25</oasis:entry>
         <oasis:entry colname="col7">46</oasis:entry>
         <oasis:entry colname="col8">3</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M207" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 1</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">2011–2020</oasis:entry>
         <oasis:entry colname="col3">384</oasis:entry>
         <oasis:entry colname="col4">56</oasis:entry>
         <oasis:entry colname="col5">0</oasis:entry>
         <oasis:entry colname="col6">4</oasis:entry>
         <oasis:entry colname="col7">8</oasis:entry>
         <oasis:entry colname="col8">32</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M208" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Grassland<sup>∗</sup></oasis:entry>
         <oasis:entry colname="col2">1981–1990</oasis:entry>
         <oasis:entry colname="col3">394</oasis:entry>
         <oasis:entry colname="col4">15</oasis:entry>
         <oasis:entry colname="col5">65</oasis:entry>
         <oasis:entry colname="col6">2</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M210" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 1</oasis:entry>
         <oasis:entry colname="col8">17</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M211" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">2011–2020</oasis:entry>
         <oasis:entry colname="col3">393</oasis:entry>
         <oasis:entry colname="col4">77</oasis:entry>
         <oasis:entry colname="col5">9</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M212" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 1</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M213" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 1</oasis:entry>
         <oasis:entry colname="col8">12</oasis:entry>
         <oasis:entry colname="col9">1</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e2777">To further evaluate NUE, we applied the European Nitrogen Experts Panel (EUNEP) framework (<italic>Nitrogen Use Efficiency (NUE) an Indicator for the Utilization of Nitrogen in Food Systems</italic>) to assess improvements across four decades (from 1981 to 2020). The EUNEP framework classifies agricultural land into six regimes (Figs. 3, 4 and A1 in Appendix), with the <italic>characteristic operating space (COS)</italic> representing the optimal agri-environmental performance. <italic>COS</italic> is defined by: (1) efficient use of nitrogen (NUE between 50 % to 90 %), (2) satisfactory <inline-formula><mml:math id="M214" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> yield, and (3) controllable <inline-formula><mml:math id="M215" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> surplus (total <inline-formula><mml:math id="M216" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> input minus <inline-formula><mml:math id="M217" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> yield). Other regimes outside the COS correspond to distinct agri-environmental issues (see Fig. 3 caption for details). Our results indicate remarkable progress in both croplands and grasslands: in the 1980s, only 26 % of croplands and 15 % of grasslands fell within COS. By the 2010s, these percentages increased to 56 % and 77 %, respectively (Table 1). Extremely high <inline-formula><mml:math id="M218" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs to grasslands (<inline-formula><mml:math id="M219" display="inline"><mml:mo lspace="0mm">&gt;</mml:mo></mml:math></inline-formula> 350 <inline-formula><mml:math id="M220" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) were largely abolished after 2011 (Figs. 4D and A1B in Appendix), and COS areas expanded geographically (into the central plateau where intensive crop production takes place) between 1981 and 2020, gradually becoming the dominant regime in both ecosystems (Figs. 3 and 4).</p>
      <p id="d2e2867">Croplands and grasslands show distinct NUE patterns (Figs. 3, 4 and A1 in Appendix). In grasslands, <inline-formula><mml:math id="M221" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> yields generally increase with <inline-formula><mml:math id="M222" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs, whereas in croplands, higher <inline-formula><mml:math id="M223" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs often lead to larger <inline-formula><mml:math id="M224" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> surplus and excessive pollution (Fig. A1 in Appendix). Croplands exhibit mixed improvements: although COS areas expanded in the 2010s, areas with <italic>insufficient productivity (IP)</italic> also became more prevalent (Table 1), primarily due to a shift from the <italic>excessive pollution/inefficient use of nitrogen/insufficient productivity (EP/IUN/IP)</italic> regime to the <italic>IP</italic> regime. By contrast, grasslands exhibit more consistent improvement, with higher percentage of <italic>COS</italic> areas and reduced prevalence of <italic>EP</italic>, <italic>EP/IUN</italic> and <italic>IP</italic> regimes (Table 1).</p>

<table-wrap id="T2" specific-use="star"><label>Table 2</label><caption><p id="d2e2927">Nitrogen budgets and soil <inline-formula><mml:math id="M225" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> balance of Swiss agroecosystems. Nitrogen inputs include livestock manure, synthetic fertilizers, BNF and atmospheric <inline-formula><mml:math id="M226" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> deposition. Nitrogen outputs include <inline-formula><mml:math id="M227" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> removal through harvest, gaseous emissions and leaching. Soil <inline-formula><mml:math id="M228" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> balance is <inline-formula><mml:math id="M229" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs minus <inline-formula><mml:math id="M230" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> outputs. All variables are decadal mean for the 1980s and the 2010s, and have the unit <inline-formula><mml:math id="M231" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Values in parenthesis are uncertainty (95 % confidence interval) due to model parameters estimated from the Monte Carlo approach (200 iterations). <sup>∗</sup> Grasslands refer to managed meadows only, while managed pastures and summer pastures for grazing are not included.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="10">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right" colsep="1"/>
     <oasis:colspec colnum="7" colname="col7" align="left"/>
     <oasis:colspec colnum="8" colname="col8" align="left"/>
     <oasis:colspec colnum="9" colname="col9" align="left"/>
     <oasis:colspec colnum="10" colname="col10" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Period</oasis:entry>
         <oasis:entry rowsep="1" namest="col3" nameend="col6" align="center" colsep="1"><inline-formula><mml:math id="M233" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> input </oasis:entry>
         <oasis:entry rowsep="1" namest="col7" nameend="col9" align="center"><inline-formula><mml:math id="M234" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> output </oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M235" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">soil</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M236" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">org</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M237" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">syn</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M238" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">BNF</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M239" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">dep</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M240" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">yield</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M241" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">gas</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M242" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">leaching</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Cropland</oasis:entry>
         <oasis:entry colname="col2">1981–1990</oasis:entry>
         <oasis:entry colname="col3">131</oasis:entry>
         <oasis:entry colname="col4">80</oasis:entry>
         <oasis:entry colname="col5">19</oasis:entry>
         <oasis:entry colname="col6">11</oasis:entry>
         <oasis:entry colname="col7">113 (112–115)</oasis:entry>
         <oasis:entry colname="col8">24 (21–27)</oasis:entry>
         <oasis:entry colname="col9">107 (93–116)</oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M243" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4 (<inline-formula><mml:math id="M244" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>19–7)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">2011–2020</oasis:entry>
         <oasis:entry colname="col3">129</oasis:entry>
         <oasis:entry colname="col4">36</oasis:entry>
         <oasis:entry colname="col5">27</oasis:entry>
         <oasis:entry colname="col6">11</oasis:entry>
         <oasis:entry colname="col7">115 (114–121)</oasis:entry>
         <oasis:entry colname="col8">22 (20–25)</oasis:entry>
         <oasis:entry colname="col9">78 (70–85)</oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M245" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>12 (<inline-formula><mml:math id="M246" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>15 to <inline-formula><mml:math id="M247" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Grassland<sup>∗</sup></oasis:entry>
         <oasis:entry colname="col2">1981–1990</oasis:entry>
         <oasis:entry colname="col3">124</oasis:entry>
         <oasis:entry colname="col4">57</oasis:entry>
         <oasis:entry colname="col5">60</oasis:entry>
         <oasis:entry colname="col6">12</oasis:entry>
         <oasis:entry colname="col7">158 (154–168)</oasis:entry>
         <oasis:entry colname="col8">34 (30–40)</oasis:entry>
         <oasis:entry colname="col9">23 (14–30)</oasis:entry>
         <oasis:entry colname="col10">36 (29–46)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">2011–2020</oasis:entry>
         <oasis:entry colname="col3">89</oasis:entry>
         <oasis:entry colname="col4">53</oasis:entry>
         <oasis:entry colname="col5">64</oasis:entry>
         <oasis:entry colname="col6">12</oasis:entry>
         <oasis:entry colname="col7">155 (153–162)</oasis:entry>
         <oasis:entry colname="col8">34 (30–39)</oasis:entry>
         <oasis:entry colname="col9">21 (12–27)</oasis:entry>
         <oasis:entry colname="col10">6 (2–14)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e3364"><italic>Risk of soil nitrogen mining (RSNM)</italic> is considered negligeable (<inline-formula><mml:math id="M249" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 1 %) across Switzerland according to the EUNEP framework (Figs. 3, 4, and A1 in Appendix and Table 1). A distinct cluster of cropland points shows low total <inline-formula><mml:math id="M250" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs (50–100 <inline-formula><mml:math id="M251" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) but very high NUE (<inline-formula><mml:math id="M252" display="inline"><mml:mo lspace="0mm">&gt;</mml:mo></mml:math></inline-formula> 90 %) (Figs. 3 and A1A in Appendix). In the simulations this pattern reflects land use changes. Throughout the whole simulation period, if land use change took place, we assumed in the model that these areas were covered by grass-clover mixtures during the non-cropland years. This assumption keeps the model running in a consistent way. Fertilization was assumed to be absent for these non-cropland vegetated periods, with <inline-formula><mml:math id="M253" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs only from BNF and atmospheric deposition. Consequently, <inline-formula><mml:math id="M254" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> yields are low because of no additional anthropogenic <inline-formula><mml:math id="M255" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> sources, while NUE is high, reflecting efficient <inline-formula><mml:math id="M256" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> use under near-natural conditions.</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e3455">Spatial maps of <inline-formula><mml:math id="M257" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> budgets and soil <inline-formula><mml:math id="M258" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> balance of Swiss croplands over 1981–2020. <bold>(A)</bold> total <inline-formula><mml:math id="M259" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> input, <bold>(B)</bold> fertilizer <inline-formula><mml:math id="M260" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> including manure and synthetic fertilizers, <bold>(C)</bold> atmospheric <inline-formula><mml:math id="M261" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> deposition, <bold>(D)</bold> BNF, <bold>(E)</bold> NUE, <bold>(F)</bold> <inline-formula><mml:math id="M262" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> leaching, <bold>(G)</bold> gaseous emissions, <bold>(H)</bold> soil <inline-formula><mml:math id="M263" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> balance. Total <inline-formula><mml:math id="M264" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs have the unit <inline-formula><mml:math id="M265" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, and other variables are expressed as percentage relative to total <inline-formula><mml:math id="M266" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs (note the difference in scales). See Fig. S6 in the Supplement for maps showing absolute values.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/6741/2026/bg-23-6741-2026-f05.jpg"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Nitrogen losses and soil nitrogen stock changes</title>
      <p id="d2e3600">Aggregated <inline-formula><mml:math id="M267" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses (gaseous emissions and leaching) from Switzerland's croplands decreased markedly over the past four decades, from 131 <inline-formula><mml:math id="M268" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in the 1980s to 100 <inline-formula><mml:math id="M269" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in the 2010s (Table 2 and Fig. S4A in the Supplement), with leaching accounting for <inline-formula><mml:math id="M270" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 80 % of total losses and for more than 40 % of total <inline-formula><mml:math id="M271" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs (Fig. 5F). By comparison, <inline-formula><mml:math id="M272" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses from grasslands are roughly half as much as croplands (Table 2 and Fig. S4A in the Supplement), but only decreased slightly, from 58 to 55 <inline-formula><mml:math id="M273" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, despite a substantial reduction in fertilizer inputs.</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e3724">Spatial maps of <inline-formula><mml:math id="M274" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> budgets and soil <inline-formula><mml:math id="M275" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> balance of Swiss grasslands over 1981–2020. <bold>(A)</bold> total <inline-formula><mml:math id="M276" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> input, <bold>(B)</bold> fertilizer <inline-formula><mml:math id="M277" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> including manure and synthetic fertilizers, <bold>(C)</bold> atmospheric <inline-formula><mml:math id="M278" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> deposition, <bold>(D)</bold> BNF, <bold>(E)</bold> NUE, <bold>(F)</bold> <inline-formula><mml:math id="M279" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> leaching, <bold>(G)</bold> gaseous emissions, <bold>(H)</bold> soil <inline-formula><mml:math id="M280" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> balance. Total <inline-formula><mml:math id="M281" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs have the unit <inline-formula><mml:math id="M282" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, and other variables are expressed as percentage relative to total <inline-formula><mml:math id="M283" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs (note the difference in scales). See Fig. S7 in the Supplement for maps shown absolute values.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/6741/2026/bg-23-6741-2026-f06.jpg"/>

        </fig>

      <p id="d2e3861">Soil <inline-formula><mml:math id="M284" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> stock dynamics of croplands and grasslands show contrasting characteristics (Fig. S4B in the Supplement). Widespread soil <inline-formula><mml:math id="M285" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> depletion is found in croplands (Fig. 5H), resulting from larger <inline-formula><mml:math id="M286" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> outputs (through harvest and losses) than inputs (as described in Methods). It is estimated that croplands have lost a cumulative 537 <inline-formula><mml:math id="M287" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> between 1981 and 2020. The most rapid depletion at <inline-formula><mml:math id="M288" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>23 <inline-formula><mml:math id="M289" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>occurred between 1995 and 2011. Long-term field monitoring also shows soil <inline-formula><mml:math id="M290" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> depletion at several arable sites (Fig. S5 in the Supplement). At the same time, nationwide long-term monitoring of soil <inline-formula><mml:math id="M291" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> stocks reported that topsoil (0–20 <inline-formula><mml:math id="M292" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula>) total organic carbon (TOC) in Swiss croplands have declined from 62 to 55 <inline-formula><mml:math id="M293" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">t</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">TOC</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> between 1985–1989 and 2015–2019 (Wollmann et al., 2025). These substantial decreases in soil TOC over time may indirectly provide some evidence for accompanied soil <inline-formula><mml:math id="M294" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> depletion as pointed out by our modelling results. By contrast, grassland soils showed positive <inline-formula><mml:math id="M295" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> balance (Fig. 6H) and accumulated 728 <inline-formula><mml:math id="M296" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> over the same period. The accumulation was the fastest in the 1980s and then gradually slowed down. In the final 5 years of the simulations, the soil <inline-formula><mml:math id="M297" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> stocks in both ecosystems stabilized, suggesting that national mean soil <inline-formula><mml:math id="M298" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> pools are approaching an equilibrium.</p>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e4045">An integrated <inline-formula><mml:math id="M299" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> assessment framework of Swiss agroecosystems. NUE, <inline-formula><mml:math id="M300" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> loss and soil <inline-formula><mml:math id="M301" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> balance of croplands <bold>(A)</bold> and grasslands <bold>(B)</bold> under different levels of <inline-formula><mml:math id="M302" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs. <inline-formula><mml:math id="M303" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> loss and soil <inline-formula><mml:math id="M304" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> balance are expressed as percentage of total <inline-formula><mml:math id="M305" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs. In each individual panel, from top to bottom, the dashed red lines represent <inline-formula><mml:math id="M306" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> loss at 10 %, 30 %, 50 % and 90 %. The dark blue and light blue circles represent data from 1981–1990 and 2011–2020, respectively. The size of the circle is proportional to the areas, with legends shown in the figure.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/6741/2026/bg-23-6741-2026-f07.png"/>

        </fig>

      <p id="d2e4125">To synthesize <inline-formula><mml:math id="M307" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> dynamics and assess agri-environmental performance of croplands and grasslands in Switzerland, we use a novel analytical framework that jointly evaluates <inline-formula><mml:math id="M308" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs, NUE, <inline-formula><mml:math id="M309" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses and soil <inline-formula><mml:math id="M310" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> balance, with the latter two expressed relative to total inputs. Compared with the EUNEP framework, this framework explicitly shows the magnitude of <inline-formula><mml:math id="M311" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses and soil <inline-formula><mml:math id="M312" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> changes. In both agricultural ecosystems, NUE declines with increasing <inline-formula><mml:math id="M313" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs, while higher <inline-formula><mml:math id="M314" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs are associated with larger <inline-formula><mml:math id="M315" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses and shifts in the soil <inline-formula><mml:math id="M316" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> balance (Fig. 7). At <inline-formula><mml:math id="M317" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs <inline-formula><mml:math id="M318" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 100 <inline-formula><mml:math id="M319" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, the two systems operate efficiently: NUE largely exceeds 80 %, <inline-formula><mml:math id="M320" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses remain around 10 %, and soil <inline-formula><mml:math id="M321" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> pools are minimally disturbed. As <inline-formula><mml:math id="M322" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs increase (150–200 <inline-formula><mml:math id="M323" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), croplands frequently lose more than half of <inline-formula><mml:math id="M324" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs and experience substantial soil <inline-formula><mml:math id="M325" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> depletion, with decreases in soil <inline-formula><mml:math id="M326" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> stocks reaching up to 30 % of total inputs (45–60 <inline-formula><mml:math id="M327" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). These <inline-formula><mml:math id="M328" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> depletions in croplands were not explicitly reflected in the EUNEP framework. At high inputs (<inline-formula><mml:math id="M329" display="inline"><mml:mo lspace="0mm">&gt;</mml:mo></mml:math></inline-formula> 200 <inline-formula><mml:math id="M330" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), outcomes diverge: some sites accumulate <inline-formula><mml:math id="M331" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> in soils when losses are <inline-formula><mml:math id="M332" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 50 %, while other places deplete soil <inline-formula><mml:math id="M333" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> stocks. Under such high <inline-formula><mml:math id="M334" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs, the magnitude of <inline-formula><mml:math id="M335" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses affects the soil <inline-formula><mml:math id="M336" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> balance, with positive soil <inline-formula><mml:math id="M337" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> balance associated with lower <inline-formula><mml:math id="M338" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses. Croplands receiving <inline-formula><mml:math id="M339" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 250 <inline-formula><mml:math id="M340" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M341" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs were common in the 1980s but rare in the 2010s, reflecting the decline of input-intensive practices. Grasslands consistently outperform croplands under comparable input levels, with higher NUE, lower losses and predominantly positive soil <inline-formula><mml:math id="M342" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> balances (Fig. 7B). Grassland soils retained more <inline-formula><mml:math id="M343" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> in the 1980s than in the 2010s, suggesting diminishing accumulation rates over time due to less fertilizer <inline-formula><mml:math id="M344" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs (see also Figs. 2, A1 in Appendix, and S4 in the Supplement).</p>

      <fig id="F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e4541">Analysis of <inline-formula><mml:math id="M345" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs, <inline-formula><mml:math id="M346" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> loss and soil <inline-formula><mml:math id="M347" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> balance of Swiss agroecosystems. Response of NUE to <bold>(A)</bold> relative BNF (<inline-formula><mml:math id="M348" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">%</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">BNF</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and <bold>(B)</bold> fertilizer <inline-formula><mml:math id="M349" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs (<inline-formula><mml:math id="M350" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">fert</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>). No significant relationships between <bold>(C)</bold> relative BNF <bold>(D)</bold> fertilizer <inline-formula><mml:math id="M351" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs and relative <inline-formula><mml:math id="M352" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> loss (<inline-formula><mml:math id="M353" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">%</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">loss</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>). Relationships between <bold>(E)</bold> relative <inline-formula><mml:math id="M354" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> loss, <bold>(F)</bold> NUE and soil <inline-formula><mml:math id="M355" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> balance (<inline-formula><mml:math id="M356" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">soil</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula>). BNF, <inline-formula><mml:math id="M357" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> loss and soil <inline-formula><mml:math id="M358" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> balance are expressed as percentage relative to total <inline-formula><mml:math id="M359" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> input. The points represent annual mean values. Croplands are shown in yellow colour, and grasslands are shown in green colour. Solid lines show significant relationships with significance level <sup>∗∗∗</sup> <inline-formula><mml:math id="M361" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M362" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.001, and dashed lines indicate insignificant relationships.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/6741/2026/bg-23-6741-2026-f08.png"/>

        </fig>

      <p id="d2e4743">Within the current model framework, our simulation results demonstrate at the national scale that NUE increases with a greater contribution of BNF-derived <inline-formula><mml:math id="M363" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> and decreases with increasing fertilizer <inline-formula><mml:math id="M364" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. 8A ans B). In DayCent, symbiotic <inline-formula><mml:math id="M365" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> fixation occurs only when mineral <inline-formula><mml:math id="M366" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> is insufficient to satisfy plant demand, leading to an inverse relationship between BNF-derived <inline-formula><mml:math id="M367" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> and fertilizer <inline-formula><mml:math id="M368" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs. Although the model does not distinguish the source of mineral <inline-formula><mml:math id="M369" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> during plant uptake or loss processes, the scenario simulations indicate that replacing fertilizer sources by only applying a single type of fertilizer results in modest changes in total <inline-formula><mml:math id="M370" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses (ranging from <inline-formula><mml:math id="M371" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7 % to 3 %), whereas reducing the total fertilizer input substantially decreases <inline-formula><mml:math id="M372" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses by <inline-formula><mml:math id="M373" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 20 % (as presented in Table S3 in the Supplement). These findings suggest that the amount of <inline-formula><mml:math id="M374" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> input is a stronger determinant of <inline-formula><mml:math id="M375" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses than the source of <inline-formula><mml:math id="M376" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> input.</p>
      <p id="d2e4858">Although lower simulated relative <inline-formula><mml:math id="M377" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses were associated with more positive soil <inline-formula><mml:math id="M378" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> balances (Fig. 8E), the scenario simulations demonstrate that soil <inline-formula><mml:math id="M379" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> stock changes are determined by the combined effects of <inline-formula><mml:math id="M380" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs, harvest removal and <inline-formula><mml:math id="M381" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses (Table S3). A 20 % reduction in fertilizer application decreased total <inline-formula><mml:math id="M382" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs by 12 %–14 % because increased BNF partially compensated for lower fertilizer inputs (Table S3). Nevertheless, soil <inline-formula><mml:math id="M383" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> depletion in croplands increased and soil <inline-formula><mml:math id="M384" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> accumulation in grasslands declined, indicating that reductions in <inline-formula><mml:math id="M385" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses alone are insufficient to maintain soil <inline-formula><mml:math id="M386" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> stocks if accompanied by reduced <inline-formula><mml:math id="M387" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs. These findings highlight the need to optimize both <inline-formula><mml:math id="M388" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs and <inline-formula><mml:math id="M389" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> retention when improving <inline-formula><mml:math id="M390" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> management.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
      <p id="d2e4984">This study presents an in-depth <inline-formula><mml:math id="M391" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> assessment of two land ecosystems in Switzerland's agriculture. Using national-scale simulations evaluated against observational data (Figs. S2, S3 and S5 in the Supplement), we construct spatially explicit <inline-formula><mml:math id="M392" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> budgets over the past four decades and show that Switzerland's cropland and grassland systems have undergone profound transformations. During 1981–2020, the simulations reproduced stable agricultural production despite declining fertilizer <inline-formula><mml:math id="M393" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs, accompanied by increasing NUE and reduced <inline-formula><mml:math id="M394" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses, particularly in croplands. The timing of these changes is consistent with the implementation of agricultural policies promoting less fertilizer use during the 1990s. However, the responses differed between ecosystems. In croplands, fertilizer reductions primarily involved synthetic fertilizers (Table 2), which likely contributed to the marked increase in NUE and decline in <inline-formula><mml:math id="M395" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses. In contrast, grasslands experienced little change in <inline-formula><mml:math id="M396" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses. This can be partly explained by fertilizer reductions dominated by decreases in organic fertilizer, while synthetic fertilizer inputs remained relatively stable (Table 2).</p>
      <p id="d2e5036">Determined through the EUNEP framework, agri-environmental performance of the two ecosystems shifted towards more efficient and sustainable regimes. These findings highlight the importance of policy intervention for agricultural <inline-formula><mml:math id="M397" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> management. However, we identify prevalent negative soil <inline-formula><mml:math id="M398" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> balance in Swiss croplands. Such soil <inline-formula><mml:math id="M399" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> depletion problems have been studied but not linked to the <inline-formula><mml:math id="M400" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> budgets approach, and are usually reported only at the site scale (Joris et al., 2020; Mulvaney et al., 2009; Schlingmann et al., 2020). Therefore, long-term monitoring of soil <inline-formula><mml:math id="M401" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> stock with larger spatial coverage (e.g., regional/national scale), and more comprehensive <inline-formula><mml:math id="M402" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> assessments and integrated <inline-formula><mml:math id="M403" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> management are needed to address the risks of further <inline-formula><mml:math id="M404" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> depletion in agricultural soils. Excessive soil <inline-formula><mml:math id="M405" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> resulting from past overfertilization can be depleted through careful management, but having more agricultural land with negative a soil <inline-formula><mml:math id="M406" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> balance should be avoided to ensure the long-term sustainability of agriculture.</p>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Impacts of nitrogen inputs on yields</title>
      <p id="d2e5127">Swiss agriculture relies heavily on livestock manure (Table 2), which can supply much of crop and forage <inline-formula><mml:math id="M407" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> demand. However, the heterogeneous distribution of manure across agricultural landscapes causes mismatches between supply and demand in space and time, and logistical constraints such as storage capacity and weather conditions complicate timely application. Hence, synthetic fertilizers remain a crucial supplementary <inline-formula><mml:math id="M408" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> source to bridge these gaps, offering readily available <inline-formula><mml:math id="M409" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> for plant uptake (Figs. 5B and 6B).</p>
      <p id="d2e5154">In addition to fertilizers, BNF is an important <inline-formula><mml:math id="M410" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> input. In croplands, our simulations suggest that legumes and grass-clover mixtures in the crop rotation contribute 4 %–15 % of total <inline-formula><mml:math id="M411" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs (Fig. 5D), while in grasslands BNF accounts for 22 %–33 % (Fig. 6D). In both agroecosystems, we find that relying more on BNF and less on fertilizer tend to achieve higher NUE. Compared to fertilizers and BNF, atmospheric <inline-formula><mml:math id="M412" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> deposition constitutes a smaller share of <inline-formula><mml:math id="M413" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs in our simulations (Figs. 5D, 6D and Table 2), and has less significant impacts on agricultural production at the national scale.</p>
      <p id="d2e5189">At the national scale, the simulations reproduced a progressive decoupling between crop yields and fertilizer <inline-formula><mml:math id="M414" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs from the 1980s to the 2010s. The simulated increasing NUE over recent decades reflects not only improvements in <inline-formula><mml:math id="M415" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> management but also the diminishing marginal yield response to additional fertilizer inputs that exceed the agronomic optimum. This pattern is consistent with the well-established nonlinear response of crop yield to <inline-formula><mml:math id="M416" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> fertilization, which indicates that further increases in fertilizer inputs are unlikely to translate into significant yield gains, suggesting that Switzerland has moved beyond the stage of input-driven intensification. The scenario simulations further support this interpretation: reducing fertilizer application rates by 20 % results in only modest reductions in simulated <inline-formula><mml:math id="M417" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> harvest (3 %–6 %) while substantially decreasing <inline-formula><mml:math id="M418" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses (<inline-formula><mml:math id="M419" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 20 %), suggesting considerable opportunity to further improve environmental performance without compromising agricultural production. Our findings place Switzerland among the “type III” countries described in global analyses (Lassaletta et al., 2014) – those capable of maintaining (or increasing) productivity while reducing <inline-formula><mml:math id="M420" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Nitrogen losses and soil nitrogen depletion remain challenges</title>
      <p id="d2e5256">While NUE improvements in Swiss agriculture are encouraging, the caveats are the persistent <inline-formula><mml:math id="M421" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses (especially in grasslands) and negative soil <inline-formula><mml:math id="M422" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> balance (in cropland). Although absolute <inline-formula><mml:math id="M423" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses declined with decreasing fertilizer inputs, relative <inline-formula><mml:math id="M424" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses showed only modest reductions in croplands and even increased in grasslands. Our sensitivity analysis suggests that the weaker reduction in relative <inline-formula><mml:math id="M425" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses in grasslands may partly reflect the greater sensitivity of grassland <inline-formula><mml:math id="M426" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> cycling to increasing temperatures, which offset part of the reduction expected from lower fertilizer inputs. A uniform 2 <inline-formula><mml:math id="M427" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> increase in air temperature increased simulated <inline-formula><mml:math id="M428" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses by approximately 6 % in croplands and 16 % in grasslands, indicating that warming enhances soil <inline-formula><mml:math id="M429" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> turnover and gaseous <inline-formula><mml:math id="M430" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> emissions in DayCent. Consequently, the reduction in <inline-formula><mml:math id="M431" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses resulting from lower fertilizer inputs may have been partially offset by temperature-driven increases in <inline-formula><mml:math id="M432" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> cycling, particularly in grasslands. In addition, reducing fertilizer application substantially decreased absolute <inline-formula><mml:math id="M433" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses but also altered BNF and soil <inline-formula><mml:math id="M434" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> dynamics in DayCent, demonstrating that relative <inline-formula><mml:math id="M435" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses are governed by the interaction among <inline-formula><mml:math id="M436" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs, plant response and internal soil <inline-formula><mml:math id="M437" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> cycling rather than by fertilizer inputs alone.</p>
      <p id="d2e5399">Most national- and regional-scale studies focus on <inline-formula><mml:math id="M438" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs, outputs or surplus, often neglecting soil <inline-formula><mml:math id="M439" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> stock dynamics. Current knowledge suggests that <inline-formula><mml:math id="M440" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> surplus is usually larger than changes in soil <inline-formula><mml:math id="M441" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> stocks (Zhang et al., 2015) and that only countries with insufficient <inline-formula><mml:math id="M442" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs have been found to undergo soil mining and soil fertility loss (Lassaletta et al., 2014; Zhang et al., 2021), so regional-scale soil <inline-formula><mml:math id="M443" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> balance is understudied, especially in places with high <inline-formula><mml:math id="M444" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs. Our modelling results reveal that soil <inline-formula><mml:math id="M445" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> depletion can occur in cropland soils despite high <inline-formula><mml:math id="M446" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs and thus highlights that also in places with high <inline-formula><mml:math id="M447" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs the soil <inline-formula><mml:math id="M448" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> balance should be evaluated, because negative soil <inline-formula><mml:math id="M449" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> balances in croplands represents a waste of valuable nutrient resources and a threat to future soil fertility and productivity.</p>
      <p id="d2e5500">The spatially explicit simulations showed that higher <inline-formula><mml:math id="M450" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses and negative soil <inline-formula><mml:math id="M451" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> balances were mainly associated with intensively managed agricultural regions dominated by croplands, where fertilizer inputs and harvest removal were higher (Fig. 5). In contrast, grassland generally exhibited lower <inline-formula><mml:math id="M452" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses and mostly positive soil <inline-formula><mml:math id="M453" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> balance (Fig. 6), consistent with higher <inline-formula><mml:math id="M454" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> retention associated with continuous vegetation cover. Although the simulations were conducted at a fine spatial resolution that enables analysis of regional differences across Switzerland, the primary objective of this study was to assess national-scale temporal trends and compare two agricultural systems. A more detailed investigation of regional hotspots of NUE, <inline-formula><mml:math id="M455" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses and soil <inline-formula><mml:math id="M456" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> changes represents an important direction for future research.</p>
      <p id="d2e5560">Our simulations, supported by sensitivity analyses, indicate that soil <inline-formula><mml:math id="M457" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> dynamics are governed by the combined effects of <inline-formula><mml:math id="M458" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs, harvest removal, climate and internal <inline-formula><mml:math id="M459" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> cycling, rather than by any single environmental or management factor. Maintaining soil <inline-formula><mml:math id="M460" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> stocks therefore requires balancing <inline-formula><mml:math id="M461" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs with harvest removal against <inline-formula><mml:math id="M462" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses. Sensitivity analyses further showed that although reducing fertilizer application substantially decreased <inline-formula><mml:math id="M463" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses, the accompanying reduction in total <inline-formula><mml:math id="M464" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> inputs slightly accelerated soil <inline-formula><mml:math id="M465" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> depletion in croplands. Moreover, increasing temperature enhanced simulated <inline-formula><mml:math id="M466" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses, suggesting that climate warming may have partially offset improvements associated with reduced fertilizer use. Our simulations identified nitrate leaching as the dominant <inline-formula><mml:math id="M467" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> loss pathway (Fig. 5F, Table 2; Fig. S6 in the Supplement), explaining the persistence of <inline-formula><mml:math id="M468" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses despite declining fertilizer inputs. This simulated pattern is consistent with previous studies showing that cropland systems are particularly susceptible to <inline-formula><mml:math id="M469" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses because annual cultivation disturbs soil structure and periods of bare soil increase vulnerability to nitrate leaching (Porwollik et al., 2022; Rupp et al., 2024). Excessive fertilizer application, especially in the form of nitrate, significantly increases leaching risk and thereby degrades groundwater quality (Misselbrook et al., 1996; Shepherd et al., 2001; Vinten et al., 1994), reflected by the widespread (<inline-formula><mml:math id="M470" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 35 %) exceedance of groundwater nitrate guidelines (<inline-formula><mml:math id="M471" display="inline"><mml:mo lspace="0mm">&gt;</mml:mo></mml:math></inline-formula> 25 <inline-formula><mml:math id="M472" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">L</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) across the Swiss Plateau (Covatti et al., 2025). In addition, wheat as the most widely cultivated crop in Switzerland (and the second most common use of cropland), is known to extract large amounts of soil <inline-formula><mml:math id="M473" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> (Kraaijvanger and Veldkamp, 2020), suggesting that harvested crops can represent a substantial pathway of <inline-formula><mml:math id="M474" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> export. Together, these factors can contribute to a negative <inline-formula><mml:math id="M475" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> balance in croplands. Compared with croplands, grasslands with a more continuous plant cover sustain year-round <inline-formula><mml:math id="M476" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> uptake. Diverse plant communities in grasslands also improve nutrient retention (De Vries and Bardgett, 2016; Leimer et al., 2016), resulting in higher NUE and lower <inline-formula><mml:math id="M477" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses (Fig. 6, Table 2 and Fig. S7 in the Supplement). Extensive and deep rooting systems can also reduce leaching in grassland (Misselbrook et al., 1996).</p>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Future nitrogen management for sustainable agriculture</title>
      <p id="d2e5750">For decades, agronomy has centred on enhancing crop productivity, but the adverse environmental consequences resulting from elevated <inline-formula><mml:math id="M478" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses have shifted the paradigm towards agronomic sustainability, emphasizing ecological performance alongside yield optimization. The challenge, however, lies in simultaneously improving NUE and reducing <inline-formula><mml:math id="M479" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses without inducing significant disturbances to soil <inline-formula><mml:math id="M480" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> stocks. We propose that a robust framework for future <inline-formula><mml:math id="M481" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> management must rest on the three interlinked pillars: NUE, <inline-formula><mml:math id="M482" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> loss and soil <inline-formula><mml:math id="M483" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> stock dynamics. NUE serves as an indicator of input efficiency, <inline-formula><mml:math id="M484" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses capture environmental externalities, and soil <inline-formula><mml:math id="M485" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> stocks indicate long-term system stability and resilience. By considering these dimensions together, policy makers and practitioners can design strategies that secure productivity without undermining ecological integrity.</p>
      <p id="d2e5818">This study demonstrates the effectiveness of coordinated policy intervention that resulted in improvements in NUE and reductions in losses. A successful case was also found in China, where targeted <inline-formula><mml:math id="M486" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> management programmes between 2007 and 2017 led to simultaneous gains in agricultural and environmental outcomes (Duan et al., 2024). These examples underscore that system-level change is possible within decades when science, practice and policy are aligned.</p>
      <p id="d2e5829">Many high-income countries face similar challenges as Switzerland of balancing productivity with environmental goals, while low- and middle-income countries risk soil <inline-formula><mml:math id="M487" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> depletion if inputs remain insufficient or face environmental penalties due to unsustainable intensification (Falconnier et al., 2023). In this study, we provide a transferable analytical approach that integrates NUE, <inline-formula><mml:math id="M488" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses and soil <inline-formula><mml:math id="M489" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> changes for evaluating agri-environmental performance at the national scale. Context-specific application of this framework could help identify “win–win” strategies that support food security while benefiting ecosystems functioning and resilience. Looking forward, future policy frameworks should encourage integrated <inline-formula><mml:math id="M490" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> management that explicitly addresses productivity-pollution-soils nexus, possibly coupled with financial incentives to stimulate adoption of advanced nutrient management technologies.</p>
</sec>
<sec id="Ch1.S4.SS4">
  <label>4.4</label><title>Uncertainty, limitations and outlook</title>
      <p id="d2e5872">The Monte Carlo analysis showed that the uncertainty associated with simulated NUE, <inline-formula><mml:math id="M491" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses and soil <inline-formula><mml:math id="M492" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> stock changes was generally smaller than the observed long-term trends, increasing confidence that the simulated temporal changes are robust. Nonetheless, the quantified <inline-formula><mml:math id="M493" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> budgets in this study were estimated primarily using a modelling approach so that the results should be interpreted with caution. In addition to the evaluated model parameters, other sources of uncertainty were not quantified, such model inputs (e.g., livestock <inline-formula><mml:math id="M494" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M495" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> data, and soil data). It is also worths noting that DayCent uses a simple “tipping bucket” module to represent water movement in soil layers, which can overestimate percolation fluxes (i.e., predict quicker drainage). This influences soil water content and consequently affects water-dependent processes (such as crop <inline-formula><mml:math id="M496" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> uptake, leaching and <inline-formula><mml:math id="M497" 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> production). Moreover, DayCent lacks a sophisticated scheme for <inline-formula><mml:math id="M498" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> volatilization, leading to substantially underestimated <inline-formula><mml:math id="M499" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes. This can result in a larger soil nitrate pool because more ammonium is available for nitrification, subsequently enhancing nitrate leaching. Another uncertainty is related to absence of representing cover crops in the model, which have been found to improve multiple ecosystem functions, including total soil <inline-formula><mml:math id="M500" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> (Liu et al., 2025) at a global level. For Switzerland, Herzog et al. (2005) estimated that the increased use of cover crops since the late 1990s reduced farm-level nutrient balances by 10 % until 2005. The impact of not including them in this study is that we potentially underestimated the reduction in nitrate leaching and therefore also in NUE, but based on the above-mentioned study, the impact is not high.</p>
      <p id="d2e5967">Overall, our results and findings are robust and provide valuable insights for agricultural policy implementation and the assessment of agri-environmental performance. This work also demonstrates the feasibility of spatially explicit <inline-formula><mml:math id="M501" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> flow quantification. Future work on monitoring national <inline-formula><mml:math id="M502" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> use (e.g., constructing <inline-formula><mml:math id="M503" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> budgets and calculate <inline-formula><mml:math id="M504" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> balance) can incorporate biogeochemical modelling as part of the methodology.</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d2e6012">In this study, we applied high-resolution, spatio-temporal process-based biogeochemical modelling to reconstruct four decades of <inline-formula><mml:math id="M505" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> budgets across two major agricultural systems in Switzerland. Using this integrated modelling approach, we showed that agri-environmental policy interventions successfully reduced agricultural <inline-formula><mml:math id="M506" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> losses while maintaining crop yields and substantially improving NUE. These improvements were largely driven by less fertilizer use throughout the 1990s. However, our modelling work also revealed a possibly <italic>nationwide depletion of cropland soil N stocks</italic> occurring despite continued high fertilizer inputs, which is not reported in previous studies. This central finding may expose a critical vulnerability within intensively managed food-production systems: efficiency gains and pollution control can mask an overlooked issue of unbalanced soil <inline-formula><mml:math id="M507" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> stock that underpins long-term productivity and resilience.</p>
      <p id="d2e6042">Using Switzerland as an exemplary case, the analytical framework used in this study and our policy-relevant findings are transferable to many agro-food systems with high nutrient inputs worldwide that are pursuing <inline-formula><mml:math id="M508" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> loss mitigation targets while seeking to maintain food production. By jointly assessing productivity, <inline-formula><mml:math id="M509" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> pollution and soil <inline-formula><mml:math id="M510" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> stocks, our case provides a systems-level diagnostic tool for evaluating the performance and sustainability of contemporary food-production systems.</p>
</sec>

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

<app id="App1.Ch1.S1">
  <label>Appendix A</label><title/>

      <fig id="FA1"><label>Figure A1</label><caption><p id="d2e6082">The EUNEP Framework of the NUE indicator diagram for Swiss agroecosystems. Modelled total <inline-formula><mml:math id="M511" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> input and <inline-formula><mml:math id="M512" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> yield of croplands and grasslands.</p></caption>
        
        <graphic xlink:href="https://bg.copernicus.org/articles/23/6741/2026/bg-23-6741-2026-f09.png"/>

      </fig>

</app>
  </app-group><notes notes-type="codedataavailability"><title>Code and data availability</title>

      <p id="d2e6113">Modelling results of the nitrogen budgets presented in this study are in netCDF format and are deposited at <ext-link xlink:href="https://doi.org/10.3929/ethz-c-000788419" ext-link-type="DOI">10.3929/ethz-c-000788419</ext-link> (Jiang, 2025). Code of the DayCent model is publicly available at <uri>https://www.soilcarbonsolutionscenter.com/daycent</uri> (last access: 21 December 2023). For specific versions, please contact the developers directly.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e6122">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/bg-23-6741-2026-supplement" xlink:title="pdf">https://doi.org/10.5194/bg-23-6741-2026-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e6131">JJ conceived of the study. JJ performed the simulations and analysed the data. CW and DB developed carbon and nitrogen data and provided model input. JJ, CW and DB compiled datasets. MN and AS assisted with software and modelling. JJ wrote the original draft of paper. LHEW and JS supervised the project and acquired funding. All authors contributed to interpretation of results and critical revision of the paper.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e6137">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e6145">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. The authors bear the ultimate responsibility for providing appropriate place names. Views expressed in the text are those of the authors and do not necessarily reflect the views of the publisher.</p>
  </notes><ack><title>Acknowledgements</title><p id="d2e6151">We thank Melannie Hartman for helping with software and DayCent modelling. We thank the ETH Zurich high-performance cluster Euler.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e6157">This research is part of the ReCLEAN Joint Initiative supported by the ETH Board under the Joint Initiatives scheme in the Strategic Area Energy, Climate and Environmental Sustainability.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e6163">This paper was edited by Ying Sun and reviewed by Zimeng Wang and one anonymous referee.</p>
  </notes><ref-list>
    <title>References</title>

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