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  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher-id">5</journal-id>
      <journal-id journal-id-type="index">urn:lsid:arphahub.com:pub:8D1BC1DD-8175-5933-B147-C839B202D5BA</journal-id>
      <journal-id journal-id-type="aggregator">urn:lsid:zoobank.org:pub:C132FA7C-A22D-4474-AAAF-B7A6889D0FF9</journal-id>
      <journal-title-group>
        <journal-title xml:lang="en">NeoBiota</journal-title>
        <abbrev-journal-title xml:lang="en">NB</abbrev-journal-title>
      </journal-title-group>
      <issn pub-type="ppub">1619-0033</issn>
      <issn pub-type="epub">1314-2488</issn>
      <publisher>
        <publisher-name>Pensoft Publishers</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.3897/neobiota.109.193861</article-id>
      <article-id pub-id-type="publisher-id">193861</article-id>
      <article-categories>
        <subj-group subj-group-type="heading">
          <subject>Methods</subject>
        </subj-group>
        <subj-group subj-group-type="biological_taxon">
          <subject>Plantae</subject>
        </subj-group>
        <subj-group subj-group-type="scientific_subject">
          <subject>Biological Invasions</subject>
        </subj-group>
        <subj-group subj-group-type="geological_era">
          <subject>Cenozoic</subject>
        </subj-group>
        <subj-group subj-group-type="geographical_area">
          <subject>Africa</subject>
          <subject>Americas</subject>
          <subject>Europe</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title>A workflow for impact indicators of alien species: A demonstration with <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part></tp:taxon-name></italic> species</article-title>
      </title-group>
      <contrib-group content-type="authors">
        <contrib contrib-type="author" corresp="yes">
          <name name-style="western">
            <surname>Yahaya</surname>
            <given-names>Mukhtar M.</given-names>
          </name>
          <email xlink:type="simple">yahayamukhtar.m@gmail.com</email>
          <uri content-type="orcid">https://orcid.org/0009-0008-9200-0863</uri>
          <xref ref-type="aff" rid="A1">1</xref>
          <role content-type="http://credit.niso.org/contributor-roles/conceptualization/">Conceptualization</role>
          <role content-type="http://credit.niso.org/contributor-roles/writing-original-draft/">Writing - original draft</role>
          <role content-type="http://credit.niso.org/contributor-roles/writing-review-editing/">Writing - review and editing</role>
          <role content-type="http://credit.niso.org/contributor-roles/formal-analysis/">Formal analysis</role>
          <role content-type="http://credit.niso.org/contributor-roles/methodology/">Methodology</role>
          <role content-type="http://credit.niso.org/contributor-roles/software/">Software</role>
          <role content-type="http://credit.niso.org/contributor-roles/visualization/">Visualization</role>
        </contrib>
        <contrib contrib-type="author" corresp="no">
          <name name-style="western">
            <surname>Kumschick</surname>
            <given-names>Sabrina</given-names>
          </name>
          <uri content-type="orcid">https://orcid.org/0000-0001-8034-5831</uri>
          <xref ref-type="aff" rid="A2">2</xref>
          <xref ref-type="aff" rid="A3">3</xref>
          <role content-type="http://credit.niso.org/contributor-roles/conceptualization/">Conceptualization</role>
          <role content-type="http://credit.niso.org/contributor-roles/writing-original-draft/">Writing - original draft</role>
          <role content-type="http://credit.niso.org/contributor-roles/writing-review-editing/">Writing - review and editing</role>
          <role content-type="http://credit.niso.org/contributor-roles/data-curation/">Data curation</role>
          <role content-type="http://credit.niso.org/contributor-roles/methodology/">Methodology</role>
          <role content-type="http://credit.niso.org/contributor-roles/supervision/">Supervision</role>
        </contrib>
        <contrib contrib-type="author" corresp="no">
          <name name-style="western">
            <surname>MacFadyen</surname>
            <given-names>Sandra</given-names>
          </name>
          <uri content-type="orcid">https://orcid.org/0000-0002-5316-440X</uri>
          <xref ref-type="aff" rid="A1">1</xref>
          <xref ref-type="aff" rid="A4">4</xref>
          <role content-type="http://credit.niso.org/contributor-roles/conceptualization/">Conceptualization</role>
          <role content-type="http://credit.niso.org/contributor-roles/writing-original-draft/">Writing - original draft</role>
          <role content-type="http://credit.niso.org/contributor-roles/writing-review-editing/">Writing - review and editing</role>
          <role content-type="http://credit.niso.org/contributor-roles/data-curation/">Data curation</role>
          <role content-type="http://credit.niso.org/contributor-roles/methodology/">Methodology</role>
          <role content-type="http://credit.niso.org/contributor-roles/supervision/">Supervision</role>
        </contrib>
        <contrib contrib-type="author" corresp="no">
          <name name-style="western">
            <surname>Landi</surname>
            <given-names>Pietro</given-names>
          </name>
          <uri content-type="orcid">https://orcid.org/0000-0002-6373-2992</uri>
          <xref ref-type="aff" rid="A1">1</xref>
          <xref ref-type="aff" rid="A4">4</xref>
          <role content-type="http://credit.niso.org/contributor-roles/conceptualization/">Conceptualization</role>
          <role content-type="http://credit.niso.org/contributor-roles/writing-original-draft/">Writing - original draft</role>
          <role content-type="http://credit.niso.org/contributor-roles/writing-review-editing/">Writing - review and editing</role>
          <role content-type="http://credit.niso.org/contributor-roles/supervision/">Supervision</role>
        </contrib>
        <contrib contrib-type="author" corresp="no">
          <name name-style="western">
            <surname>Hui</surname>
            <given-names>Cang</given-names>
          </name>
          <uri content-type="orcid">https://orcid.org/0000-0002-3660-8160</uri>
          <xref ref-type="aff" rid="A1">1</xref>
          <xref ref-type="aff" rid="A4">4</xref>
          <xref ref-type="aff" rid="A5">5</xref>
          <role content-type="http://credit.niso.org/contributor-roles/conceptualization/">Conceptualization</role>
          <role content-type="http://credit.niso.org/contributor-roles/writing-original-draft/">Writing - original draft</role>
          <role content-type="http://credit.niso.org/contributor-roles/writing-review-editing/">Writing - review and editing</role>
          <role content-type="http://credit.niso.org/contributor-roles/funding-acquisition/">Funding acquisition</role>
          <role content-type="http://credit.niso.org/contributor-roles/methodology/">Methodology</role>
          <role content-type="http://credit.niso.org/contributor-roles/resources/">Resources</role>
          <role content-type="http://credit.niso.org/contributor-roles/supervision/">Supervision</role>
        </contrib>
      </contrib-group>
      <aff id="A1">
        <label>1</label>
        <addr-line content-type="verbatim">Mathematical Biology Hub, Department of Mathematical Sciences, Stellenbosch University, Stellenbosch, South Africa</addr-line>
        <institution>Mathematical Biology Hub, Department of Mathematical Sciences, Stellenbosch University</institution>
        <addr-line content-type="city">Stellenbosch</addr-line>
        <country>South Africa</country>
        <uri content-type="ror">https://ror.org/05bk57929</uri>
      </aff>
      <aff id="A2">
        <label>2</label>
        <addr-line content-type="verbatim">Centre for Invasion Biology, Botany and Zoology Department, Stellenbosch University, Stellenbosch, South Africa</addr-line>
        <institution>Centre for Invasion Biology, Botany and Zoology Department, Stellenbosch University</institution>
        <addr-line content-type="city">Stellenbosch</addr-line>
        <country>South Africa</country>
        <uri content-type="ror">https://ror.org/05bk57929</uri>
      </aff>
      <aff id="A3">
        <label>3</label>
        <addr-line content-type="verbatim">Kirstenbosch Research Centre, South African National Biodiversity Institute, Cape Town, South Africa</addr-line>
        <institution>Kirstenbosch Research Centre, South African National Biodiversity Institute</institution>
        <addr-line content-type="city">Cape Town</addr-line>
        <country>South Africa</country>
      </aff>
      <aff id="A4">
        <label>4</label>
        <addr-line content-type="verbatim">National Institute for Theoretical and Computational Sciences, Stellenbosch University, Stellenbosch, South Africa</addr-line>
        <institution>National Institute for Theoretical and Computational Sciences, Stellenbosch University</institution>
        <addr-line content-type="city">Stellenbosch</addr-line>
        <country>South Africa</country>
        <uri content-type="ror">https://ror.org/05bk57929</uri>
      </aff>
      <aff id="A5">
        <label>5</label>
        <addr-line content-type="verbatim">Biodiversity Informatics Unit, African Institute for Mathematical Sciences, Cape Town, South Africa</addr-line>
        <institution>Biodiversity Informatics Unit, African Institute for Mathematical Sciences</institution>
        <addr-line content-type="city">Cape Town</addr-line>
        <country>South Africa</country>
        <uri content-type="ror">https://ror.org/02f9k5d27</uri>
      </aff>
      <author-notes>
        <fn fn-type="corresp">
          <p>Corresponding author: Mukhtar M. Yahaya (<email xlink:type="simple">yahayamukhtar.m@gmail.com</email>)</p>
        </fn>
        <fn fn-type="edited-by">
          <p>Academic editor: Joana Vicente</p>
        </fn>
      </author-notes>
      <pub-date pub-type="collection">
        <year>2026</year>
      </pub-date>
      <pub-date pub-type="epub">
        <day>03</day>
        <month>09</month>
        <year>2026</year>
      </pub-date>
      <volume>109</volume>
      <fpage>45</fpage>
      <lpage>66</lpage>
      <uri content-type="arpha" xlink:href="http://openbiodiv.net/66FF93EF-B5AF-5954-9419-BEDEC35AC784">66FF93EF-B5AF-5954-9419-BEDEC35AC784</uri>
      <history>
        <date date-type="received">
          <day>01</day>
          <month>04</month>
          <year>2026</year>
        </date>
        <date date-type="accepted">
          <day>06</day>
          <month>08</month>
          <year>2026</year>
        </date>
      </history>
      <permissions>
        <copyright-statement>Mukhtar M. Yahaya, Sabrina Kumschick, Sandra MacFadyen, Pietro Landi, Cang Hui</copyright-statement>
        <license license-type="creative-commons-attribution" xlink:href="http://creativecommons.org/licenses/by/4.0/" xlink:type="simple">
          <license-p>This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.</license-p>
        </license>
      </permissions>
      <abstract>
        <label>Abstract</label>
        <p>The negative impact of alien species is recognised as a major threat to biodiversity. An impact indicator, a measurable proxy of the status of alien species impacts over space and time, is essential for informing biological invasion policies and management strategies. We introduce an open-source workflow for computing impact indicators of alien species, combining occurrence data from the Global Biodiversity Information Facility (<abbrev xlink:title="Global Biodiversity Information Facility">GBIF</abbrev>) with assessments of Environmental Impact Classification for Alien Taxa (<abbrev xlink:title="Environmental Impact Classification for Alien Taxa">EICAT</abbrev>). To implement the workflow, we developed an R package, impIndicator, which allows users to compute and visualise impact indicators for individual species and sites, as well as regional impact indicators. This tool can support ecological research and management by providing standardised insights into where alien species pose the greatest threats and whether current interventions are effectively reducing them. Such information is directly relevant to policy frameworks, including Target 6 of the Convention on Biological Diversity’s Kunming–Montreal Global Biodiversity Framework and the Sustainable Development Goals. We demonstrate the workflow using <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part></tp:taxon-name></italic> species in the Iberian Peninsula, South Africa and California, showcasing the spatiotemporal dynamics of their impacts and highlighting sites with higher impact risk. The resulting impact indicators were sensitive to variation in sampling effort and the completeness of the underlying occurrence data, highlighting the importance of well-sampled and systematically curated biodiversity datasets for robust impact assessment.</p>
      </abstract>
      <kwd-group>
        <label>Key words:</label>
        <kwd>Alien species</kwd>
        <kwd>biodiversity</kwd>
        <kwd>EICAT</kwd>
        <kwd>GBIF</kwd>
        <kwd>impact indicator</kwd>
        <kwd>workflow</kwd>
      </kwd-group>
      <funding-group>
        <award-group>
          <funding-source>
            <named-content content-type="project_title">Biodiversity Building Blocks for policy</named-content>
            <named-content content-type="project_identifier">101059592</named-content>
            <named-content content-type="project_funder_id">501100000780</named-content>
            <named-content content-type="project_funder_name">European Commission</named-content>
            <named-content content-type="project_funder_doi">http://doi.org/10.13039/501100000780</named-content>
          </funding-source>
        </award-group>
      </funding-group>
    </article-meta>
  </front>
  <body>
    <sec sec-type="Introduction" id="sec1">
      <title>Introduction</title>
      <p>The negative impact of alien species is one of the leading causes of biodiversity loss (<xref ref-type="bibr" rid="B2">Bacher et al. 2023</xref>). Effective management of these impacts is hindered by the lack of evidence-based impact indicators, defined as measurable proxies that quantify the impacts of alien species on native ecosystems across space and time (<xref ref-type="bibr" rid="B57">Vicente et al. 2022</xref>). At the same time, biodiversity data have improved substantially. Species occurrence records are becoming increasingly available through global databases (<xref ref-type="bibr" rid="B20">GBIF.org 2025</xref>), while assessments of alien species impacts are becoming more standardised through frameworks (<xref ref-type="bibr" rid="B45">Nentwig et al. 2010</xref>; <xref ref-type="bibr" rid="B4">Blackburn et al. 2014</xref>; <xref ref-type="bibr" rid="B3">Bacher et al. 2025</xref>). Together, these developments provide an opportunity to establish a standard approach for quantifying alien species impacts by integrating occurrence data with impact assessments. Such indicators can provide information for evidence-based policy and management by helping to prioritise species and sites for intervention, evaluate the effectiveness of control measures and forecast impacts under future scenarios (<xref ref-type="bibr" rid="B39">Kumschick et al. 2025</xref>).</p>
      <p>This need is particularly pressing because alien species can severely affect ecosystem functioning and the ecosystem services that underpin human well-being. In response, governments and organisations worldwide are developing and implementing policies to prevent the introduction of new invasive alien species, control the spread of existing ones and restore affected ecosystems (<xref ref-type="bibr" rid="B32">IPBES 2023</xref>). These policies require standardised, evidence-based decision-support tools, including impact indicators, to monitor changes in impacts, assess spread and evaluate the effectiveness of control measures (<xref ref-type="bibr" rid="B23">Grêt-Regamey et al. 2017</xref>). Impact indicators can also complement spread forecasts to provide information for preventative and management actions.</p>
      <p>For an indicator to be useful for monitoring and tracking progress, such as towards Target 6 of the Convention on Biological Diversity (<abbrev xlink:title="Convention on Biological Diversity">CBD</abbrev>) Kunming-Montreal Global Biodiversity Framework which aims to eliminate, reduce and/or mitigate the negative impacts of alien species on biodiversity and ecosystem services, its underlying workflow should adhere, as far as possible, to the Findable, Accessible, Interoperable and Reusable (<abbrev xlink:title="Findable, Accessible, Interoperable and Reusable">FAIR</abbrev>) Data Principles (<xref ref-type="bibr" rid="B25">Groom et al. 2017</xref>; <xref ref-type="bibr" rid="B24">Groom et al. 2019</xref>). To produce reliable and repeatable impact indicators, it is essential to employ a transparent, open-data workflow that consistently converts raw data into coherent, detailed and replicable indicators (<xref ref-type="bibr" rid="B54">Seebens et al. 2020</xref>; <xref ref-type="bibr" rid="B8">Boyd et al. 2023</xref>). Adherence to the <abbrev xlink:title="Findable, Accessible, Interoperable and Reusable">FAIR</abbrev> Data Principles in both inputs and outputs promotes transparency, reusability and long-term viability. Furthermore, the workflow should be sufficiently flexible to be applicable across different spatial, temporal and taxonomic scales. Finally, impact indicators should be accompanied by estimates of uncertainty where possible, enabling users to interpret the results appropriately and avoid unwarranted confidence in the outputs (<xref ref-type="bibr" rid="B57">Vicente et al. 2022</xref>).</p>
      <p>Several indicators have been proposed to monitor biological invasions over time (<xref ref-type="bibr" rid="B51">Rabitsch et al. 2016</xref>; <xref ref-type="bibr" rid="B59">Wilson et al. 2018</xref>; <xref ref-type="bibr" rid="B30">Henriksen et al. 2024</xref>). Indicators focusing on occurrence data for alien species include the cumulative number of established alien species (<xref ref-type="bibr" rid="B30">Henriksen et al. 2024</xref>) and the relative abundance of alien species (<xref ref-type="bibr" rid="B59">Wilson et al. 2018</xref>; <xref ref-type="bibr" rid="B14">Delavaux et al. 2023</xref>). While occurrence-based indicators provide a general measure of invasion trends, they do not necessarily reflect changes in ecological impacts. Furthermore, they do not account for variation in impact magnitude amongst alien species, such as when distinguishing between levels of severe impacts (e.g. <xref ref-type="bibr" rid="B30">Henriksen et al. (2024)</xref>). These limitations can be addressed by integrating occurrence data with information on impact magnitude.</p>
      <p>The Red List Index (<abbrev xlink:title="Red List Index">RLI</abbrev>) is an indicator that measures changes in average extinction risk of groups of species through time (<xref ref-type="bibr" rid="B10">Butchart et al. 2007</xref>, <xref ref-type="bibr" rid="B11">2025</xref>). Changes in extinction risk are driven by multiple factors, including, but not limited to, invasive alien species. However, when analysed alongside the abundance, richness or temporal trends of co-occurring invasive alien species, the <abbrev xlink:title="Red List Index">RLI</abbrev> can provide evidence of an association between biological invasions and changes in extinction risk, thereby offering insights into the potential ecological impacts of invasive alien species on ecosystems (<xref ref-type="bibr" rid="B9">Butchart 2008</xref>; <xref ref-type="bibr" rid="B51">Rabitsch et al. 2016</xref>; <xref ref-type="bibr" rid="B49">Philippe-Lesaffre et al. 2024</xref>). Although the <abbrev xlink:title="Red List Index">RLI</abbrev> of alien species reflects variation in how alien species affect native species, it does not fully capture the magnitude of those impacts or the mechanisms by which alien species exert them on the broader ecosystem (i.e. it does not explicitly account for impact severity or the mechanisms through which impacts are exerted). Nevertheless, combining information on impact magnitude and mechanisms with species distributions can provide a more comprehensive representation of alien species impacts on recipient ecosystems.</p>
      <p>The Environmental Impact Classification for Alien Taxa (<abbrev xlink:title="Environmental Impact Classification for Alien Taxa">EICAT</abbrev>), recently adopted by the IUCN, provides a standardised framework for classifying the magnitude and mechanisms of alien species impacts (<xref ref-type="bibr" rid="B33">IUCN 2020a</xref>). Alien species are categorised from Minimal Concern to Massive, depending on the reported magnitude of their impacts on native species (<xref ref-type="bibr" rid="B4">Blackburn et al. 2014</xref>; <xref ref-type="bibr" rid="B34">IUCN 2020b</xref>). Combining information on the impacts of alien species and their occurrence can provide a representation of their impacts in a particular region (<xref ref-type="bibr" rid="B43">Latombe et al. 2017</xref>). The combination of data on impacts and occurrences has been proposed as an indicator of invasion impacts (e.g. <xref ref-type="bibr" rid="B59">Wilson et al. (2018)</xref>), but, until recently, there was no standardised methodology for implementing this approach. Recent research has made important methodological advances to address this shortcoming (<xref ref-type="bibr" rid="B7">Boulesnane-Guengant et al. 2025</xref>; <xref ref-type="bibr" rid="B47">Oveisi et al. 2026</xref>). For example, <xref ref-type="bibr" rid="B39">Kumschick et al. (2025)</xref> and <xref ref-type="bibr" rid="B7">Boulesnane-Guengant et al. (2025)</xref> used <abbrev xlink:title="Environmental Impact Classification for Alien Taxa">EICAT</abbrev> assessments together with species distribution data to create spatial risk maps of the impact of <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part></tp:taxon-name></italic> species in South Africa. Their methods involve transforming <abbrev xlink:title="Environmental Impact Classification for Alien Taxa">EICAT</abbrev> categories documented across different impact mechanisms into numerical impact scores for each species using an aggregation metric (e.g. the mean). These impact scores are then aggregated across species within standardised grid cells, based on the species distributions derived from occurrence records or species distribution models (see the Materials and methods section for analogous aggregation procedures). Although the approach incorporates spatial variation in impacts, it does not explicitly quantify species-level, site-level and regional-level impacts through time, which is the focus of the workflow developed in this study.</p>
      <p>To create scientifically robust, policy-relevant impact indicators, we derive species-level, site-level and regional impact indicators over time by combining occurrence data with impact magnitude. Building on the methods of <xref ref-type="bibr" rid="B39">Kumschick et al. (2025)</xref> and <xref ref-type="bibr" rid="B7">Boulesnane-Guengant et al. (2025)</xref>, we integrate open-source <abbrev xlink:title="Environmental Impact Classification for Alien Taxa">EICAT</abbrev> assessments with species occurrence data to make the impact indicators taxonomically, spatially and temporally explicit. The workflow is embedded in an R package to compute and visualise these indicators, following standard software development guidelines (<xref ref-type="bibr" rid="B31">Huybrechts et al. 2024</xref>). The workflow produces three main outputs: (i) species-level impact indicators; (ii) site-level impact indicators and (iii) regional impact indicators.</p>
    </sec>
    <sec sec-type="materials|methods" id="sec2">
      <title>Materials and methods</title>
      <sec sec-type="Occurrence data" id="sec3">
        <title>Occurrence data</title>
        <p>The workflow uses occurrence data from the Global Biodiversity Information Facility (<abbrev xlink:title="Global Biodiversity Information Facility">GBIF</abbrev>) (Fig. <xref ref-type="fig" rid="F1">1</xref>). <abbrev xlink:title="Global Biodiversity Information Facility">GBIF</abbrev> is a large biodiversity data infrastructure that supports the <abbrev xlink:title="Findable, Accessible, Interoperable and Reusable">FAIR</abbrev> Data Principles and is widely used for scientific purposes (<xref ref-type="bibr" rid="B29">Heberling et al. 2021</xref>; <xref ref-type="bibr" rid="B35">Ivanova and Shashkov 2021</xref>). The workflow uses an occurrence cube format, which aggregates occurrences along spatial (e.g. Extended Quarter Degree Grid Cell (<abbrev xlink:title="Extended Quarter Degree Grid Cell">EQDGC</abbrev>)), temporal (e.g. yearly) and taxonomic (e.g. species) dimensions (<xref ref-type="bibr" rid="B15">Desmet et al. 2023</xref>), making the data suitable for modelling and computational analysis (<xref ref-type="bibr" rid="B46">Oldoni et al. 2020</xref>). The cube is processed using the b3gbi R package (<xref ref-type="bibr" rid="B17">Dove 2026</xref>). This ensures standardised input data for further analysis and verifies that the data format is correct. To minimise the influence of sampling bias, multiple records of a species from the same site (grid cell, i.e. a single spatial unit on the Earth’s surface, for example, E033S02BB of <abbrev xlink:title="Extended Quarter Degree Grid Cell">EQDGC</abbrev>) within a given year are converted to binary presence (1) or absence (0) records for all computations (<xref ref-type="bibr" rid="B5">Boria et al. 2014</xref>).</p>
        <fig id="F1">
          <object-id content-type="arpha">CD01FEE5-895F-519F-B16E-9AB630A252EB</object-id>
          <label>Figure 1.</label>
          <caption>
            <p>Diagrammatic representation of the workflow embedded in impIndicator to compute and visualise impact indicators for alien species (<ext-link xlink:href="https://github.com/b-cubed-eu/impIndicator" ext-link-type="uri">https://github.com/b-cubed-eu/impIndicator</ext-link>). The workflow integrates <abbrev xlink:title="Global Biodiversity Information Facility">GBIF</abbrev> occurrence data and <abbrev xlink:title="Environmental Impact Classification for Alien Taxa">EICAT</abbrev> impact assessments.</p>
          </caption>
          <graphic xlink:href="neobiota-109-045_article-193861__-g001.jpg" id="oo_1763800.jpg">
            <uri content-type="original_file">https://binary.pensoft.net/fig/1763800</uri>
          </graphic>
        </fig>
        <p>The status of species (alien or native) constitutes an Essential Biodiversity Variable for monitoring biological invasions (<xref ref-type="bibr" rid="B43">Latombe et al. 2017</xref>). It is necessary to confirm that the species included in the analysis are alien within the region of interest before computing impact indicators. Several published datasets now facilitate the verification of species status. For example, <xref ref-type="bibr" rid="B22">Gómez-Suárez et al. (2025)</xref> developed a harmonised dataset of species status using the standardised SinAS workflow (<xref ref-type="bibr" rid="B54">Seebens et al. 2020</xref>), which integrates and harmonises global sources such as the Global Register of Introduced and Invasive Species (<abbrev xlink:title="Global Register of Introduced and Invasive Species">GRIIS</abbrev>) and the World Checklist of Vascular Plants (<abbrev xlink:title="World Checklist of Vascular Plants">WCVP</abbrev>). In addition, reliable sources such as peer-reviewed literature and technical reports can be used to determine alien status.</p>
      </sec>
      <sec sec-type="Impact data" id="sec4">
        <title>Impact data</title>
        <p>The workflow uses <abbrev xlink:title="Environmental Impact Classification for Alien Taxa">EICAT</abbrev> data as evidence of the impact of alien species. Impacts of alien species, based on <abbrev xlink:title="Environmental Impact Classification for Alien Taxa">EICAT</abbrev> assessments are classified into Minimal Concern (<abbrev xlink:title="Minimal Concern">MC</abbrev>), Minor (<abbrev xlink:title="Minor">MN</abbrev>), Moderate (<abbrev xlink:title="Moderate">MO</abbrev>), Major (<abbrev xlink:title="Major">MR</abbrev>) or Massive (<abbrev xlink:title="Massive">MV</abbrev>), according to the severity of their negative effects on native species in the recipient community. Specifically, a species is assigned <abbrev xlink:title="Minimal Concern">MC</abbrev> if there is no reduction in the performance of individuals of a native species; <abbrev xlink:title="Minor">MN</abbrev> if the performance of individuals is reduced, but there is no decrease in native species population size; <abbrev xlink:title="Moderate">MO</abbrev> if the native species’ population is reduced; <abbrev xlink:title="Major">MR</abbrev> if the impact has led to local extinction, but is reversible; and <abbrev xlink:title="Massive">MV</abbrev> if the impact has led to naturally irreversible extirpation or extinction. The impacts are also classified according to the 12 mechanisms described by the IUCN, which are competition, predation, hybridisation, transmission of disease, parasitism, poisoning/toxicity, biofouling or other direct physical disturbance, grazing/herbivory/browsing, chemical impacts on ecosystems, physical impacts on ecosystems, structural impacts on ecosystems and indirect impact through interactions with other species. Additional information, such as the location of the impact, is also reported (<xref ref-type="bibr" rid="B33">IUCN 2020a</xref>). <abbrev xlink:title="Environmental Impact Classification for Alien Taxa">EICAT</abbrev> data are available through the Global Invasive Species Database (<abbrev xlink:title="Global Invasive Species Database">GISD</abbrev>; <ext-link xlink:href="https://www.iucngisd.org/gisd/" ext-link-type="uri">https://www.iucngisd.org/gisd/</ext-link>). However, the <abbrev xlink:title="Environmental Impact Classification for Alien Taxa">EICAT</abbrev> assessments, hosted in <abbrev xlink:title="Global Invasive Species Database">GISD</abbrev>, are not yet fully open or <abbrev xlink:title="Findable, Accessible, Interoperable and Reusable">FAIR</abbrev>, as they currently do not provide persistent identifiers and are not fully accessible for bulk or machine-readable extraction. For species without published assessments, users can conduct and add their own assessments within this workflow.</p>
        <p>For computational purposes, the semi-quantitative (ordinal) <abbrev xlink:title="Environmental Impact Classification for Alien Taxa">EICAT</abbrev> categories must first be transformed into numerical scores. The transformation depends on the assumed encoding scale for the impact categories, such as a linear or exponential relationship and on how the <abbrev xlink:title="Minimal Concern">MC</abbrev> category is interpreted. Specifically, <abbrev xlink:title="Minimal Concern">MC</abbrev> may be treated either as zero impact, because no impact on native species has been recorded or as a non-zero category reflecting some degree of concern. We considered three encoding schemes, which can be used depending on the assumptions of the study. The first, <abbrev xlink:title="Minimal Concern">MC</abbrev> = 0, <abbrev xlink:title="Minor">MN</abbrev> = 1, <abbrev xlink:title="Moderate">MO</abbrev> = 2, <abbrev xlink:title="Major">MR</abbrev> = 3 and <abbrev xlink:title="Massive">MV</abbrev> = 4, assumes a linear relationship and interprets <abbrev xlink:title="Minimal Concern">MC</abbrev> as zero impact (<xref ref-type="bibr" rid="B26">Hagen and Kumschick 2018</xref>). This scheme is consistent with the interpretation of <abbrev xlink:title="Minimal Concern">MC</abbrev> as the absence of detectable effects on native species. The second, <abbrev xlink:title="Minimal Concern">MC</abbrev> = 1, <abbrev xlink:title="Minor">MN</abbrev> = 2, <abbrev xlink:title="Moderate">MO</abbrev> = 3, <abbrev xlink:title="Major">MR</abbrev> = 4 and <abbrev xlink:title="Massive">MV</abbrev> = 5, also assumes a linear relationship, but treats <abbrev xlink:title="Minimal Concern">MC</abbrev> as a non-zero category to represent some degree of concern, despite no documented impact on native species (e.g. <xref ref-type="bibr" rid="B36">Jansen and Kumschick (2022)</xref>). The third, <abbrev xlink:title="Minimal Concern">MC</abbrev> = 1, <abbrev xlink:title="Minor">MN</abbrev> = 10, <abbrev xlink:title="Moderate">MO</abbrev> = 100, <abbrev xlink:title="Major">MR</abbrev> = 1000 and <abbrev xlink:title="Massive">MV</abbrev> = 10,000, assumes an exponential relationship between categories and scores, while likewise treating <abbrev xlink:title="Minimal Concern">MC</abbrev> as non-zero. This scheme gives disproportionate weight to higher-impact categories (Suppl. material <xref ref-type="supplementary-material" rid="S1">1</xref>: appendix 1, table SS1). There are many other possible schemes not considered in this framework, but these may be included in further versions of the software after careful methodological evaluation.</p>
      </sec>
      <sec sec-type="Impact indicators" id="sec5">
        <title>Impact indicators</title>
        <p>To produce impact indicators, we used a hierarchical aggregation framework with three levels: species, site and region (a whole study area, for example, South Africa). First, because species are often assigned multiple impact categories across study locations and impact mechanisms, we aggregated these records to obtain a single species-level impact score intended to represent the overall documented impacts of each alien species outside its native range. For example, <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="dealbata">dealbata</tp:taxon-name-part></tp:taxon-name></italic> has been classified as <abbrev xlink:title="Major">MR</abbrev> in the Drakensberg, South Africa, through structural impact, but as <abbrev xlink:title="Minor">MN</abbrev> in the Biobío Region, Chile, through chemical impact (see <xref ref-type="bibr" rid="B36">Jansen and Kumschick (2022)</xref>). To reconcile such variation, we converted impact categories to scores and aggregated them within species using one of three approaches: Maximum, Mean or Sum of Maximum across Mechanisms (Table <xref ref-type="table" rid="T1">1</xref>, Fig. <xref ref-type="fig" rid="F2">2</xref>).</p>
        <fig id="F2">
          <object-id content-type="arpha">FFB0937C-9122-5328-B7A6-295BBA236DFB</object-id>
          <label>Figure 2.</label>
          <caption>
            <p>Methods for computing impact indicators. Given two hypothetical species occurring simultaneously at a site, each with recorded <abbrev xlink:title="Environmental Impact Classification for Alien Taxa">EICAT</abbrev> impact categories and impact mechanisms, their numerical impact scores are first aggregated within species to obtain species-level impact indicators and then aggregated across species within sites to compute site-level impact indicators. Regional impact indicators are subsequently calculated as the spatial sum of the site-level indicators. Adapted from <xref ref-type="bibr" rid="B7">Boulesnane-Guengant et al. (2025)</xref>.</p>
          </caption>
          <graphic xlink:href="neobiota-109-045_article-193861__-g002.jpg" id="oo_1763801.jpg">
            <uri content-type="original_file">https://binary.pensoft.net/fig/1763801</uri>
          </graphic>
        </fig>
        <table-wrap id="T1" position="float" orientation="portrait">
          <label>Table 1.</label>
          <caption>
            <p>The three types of impact indicators, their definitions, functions implemented in impIndicator, computation methods, assumptions, limitations and intended applications. The regional impact indicator is computed as the spatial sum of the corresponding site-level impact indicators for each year. Therefore, the site-level and regional impact indicators share the same underlying computation method (aggregation of impact scores within and across species), assumptions and limitations.</p>
          </caption>
          <table>
            <tbody>
              <tr>
                <th rowspan="1" colspan="1"/>
                <th rowspan="1" colspan="1">
                  <bold>Name</bold>
                </th>
                <th rowspan="1" colspan="1">
                  <bold>Definition</bold>
                </th>
                <th rowspan="1" colspan="1">
                  <bold>Methods</bold>
                </th>
                <th rowspan="1" colspan="1">
                  <bold>Assumptions</bold>
                </th>
                <th rowspan="1" colspan="1">
                  <bold>Limitations</bold>
                </th>
                <th rowspan="1" colspan="1">
                  <bold>Intended applications</bold>
                </th>
              </tr>
              <tr>
                <td rowspan="3" colspan="1">1</td>
                <td rowspan="3" colspan="1">Species-level Impact Indicator; compute_species_indicator (<ext-link xlink:href="https://b-cubed-eu.github.io/impIndicator/reference/compute_species_indicator.html" ext-link-type="uri">https://b-cubed-eu.github.io/impIndicator/reference/compute_species_indicator.html</ext-link>)</td>
                <td rowspan="3" colspan="1">The impact per individual alien species over time.</td>
                <td rowspan="1" colspan="1"><bold>Maximum</bold>: Assigns a species the highest recorded impact across all available scores (<xref ref-type="bibr" rid="B4">Blackburn et al. 2014</xref>; <xref ref-type="bibr" rid="B33">IUCN 2020a</xref>; <xref ref-type="bibr" rid="B38">Kumschick et al. 2024</xref>).</td>
                <td rowspan="1" colspan="1">(i) The highest observed impact best reflects management concern; (ii) A species can potentially achieve its highest impact wherever it occurs; (iii) Rare, but severe impacts are more important than average impacts.</td>
                <td rowspan="1" colspan="1">(i) Can substantially overestimate species impacts; (ii) Ignores the frequency and consistency of impact records; (iii) Sensitive to exceptional cases and local conditions; (iv) Does not distinguish species with one severe record from species consistently causing severe impacts.</td>
                <td rowspan="1" colspan="1">Precautionary risk assessment, prioritisation for regulation, early detection and rapid response.</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1"><bold>Mean</bold>: Computes the average impact across all scores for a species (<xref ref-type="bibr" rid="B16">D’hondt et al. 2015</xref>). This method provides an expected impact value and is most appropriate when numerous impact records exist for the species.</td>
                <td rowspan="1" colspan="1">(i) All impact records are equally informative; (ii) The average impact reflects the most likely ecological outcome; (iii) The mean adequately represents variation amongst locations and mechanisms.</td>
                <td rowspan="1" colspan="1">(i) Can underestimate species capable of causing severe impacts; (ii) Rare high-impact events are diluted by numerous low-impact records; (iii) Sensitive to uneven sampling effort amongst species.</td>
                <td rowspan="1" colspan="1">Comparing species objectively, estimating realised impacts.</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1"><bold>Sum of Maximum across Mechanisms</bold>: Calculates a species’ impact score by summing the maximum impact for each mechanism through which the species exerts its impacts (<xref ref-type="bibr" rid="B45">Nentwig et al. 2010</xref>).</td>
                <td rowspan="1" colspan="1">(i) Different mechanisms contribute independently to the total impact; (ii) Species affecting ecosystems through many mechanisms are more harmful than species affecting them through a single mechanism; (iii) Impacts from different mechanisms are additive.</td>
                <td rowspan="1" colspan="1">(i) Can favour species with many documented mechanisms rather than truly greater impacts; (ii) Depends heavily on completeness of <abbrev xlink:title="Environmental Impact Classification for Alien Taxa">EICAT</abbrev> assessments; (iii) May double-count overlapping ecological effects; (iv) Species with more research effort may receive higher scores.</td>
                <td rowspan="1" colspan="1">Comprehensive risk assessment, prioritising species with multiple impact pathways, understanding ecosystem-wide invasion threats.</td>
              </tr>
              <tr>
                <td rowspan="5" colspan="1">2</td>
                <td rowspan="5" colspan="1">Site-level Impact Indicator; compute_site_indicator (<ext-link xlink:href="https://b-cubed-eu.github.io/impIndicator/reference/compute_site_indicator.html" ext-link-type="uri">https://b-cubed-eu.github.io/impIndicator/reference/compute_site_indicator.html</ext-link>)</td>
                <td rowspan="5" colspan="1">The impact of alien species per site in the study region over time.</td>
                <td rowspan="1" colspan="1"><bold>Precautionary</bold>: This method uses the Maximum method to aggregate each species’ impact and then computes the maximum impact across species in each site.</td>
                <td rowspan="1" colspan="1">(i) The highest recorded impact is the most relevant for management; (ii) Species can potentially achieve their maximum impact wherever they occur; (iii) The most damaging species adequately represents site risk.</td>
                <td rowspan="1" colspan="1">(i) Overestimates impacts; (ii) Ignores all other species once the highest-impact species is identified; (iii) Cannot distinguish between sites with one versus many invaders; (iv) Sensitive to rare or exceptional impact records.</td>
                <td rowspan="1" colspan="1">Early warning, conservation planning, protected areas, risk-averse decision making, identifying sites requiring immediate attention.</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1"><bold>Precautionary Cumulative</bold>: Uses the Maximum method to aggregate each species’ impact and then computes the summation of all impacts in each site. The Precautionary Cumulative method provides the highest impact score possible for each species, but considers the number of co-occurring species in each site.</td>
                <td rowspan="1" colspan="1">(i) Each species can achieve its maximum impact; (ii) Impacts of different species are additive; (iii) Worst-case impacts can occur simultaneously.</td>
                <td rowspan="1" colspan="1">(i) Tendency to overestimate impacts; (ii) Assumes all species express their maximum impacts at the same site and time; (iii) Does not account for synergistic or antagonistic interactions amongst species; (iv) Sensitive to rare impact observations.</td>
                <td rowspan="1" colspan="1">Identifying invasion hotspots, prioritising management across sites, estimating cumulative invasion risk under a precautionary framework.</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1"><bold>Mean of Means</bold>: Uses the Mean method to aggregate each species’ impact and then computes the mean of all species in each site. The Mean of Means provides the expected impact within individual species and across all species in each site.</td>
                <td rowspan="1" colspan="1">(i) Mean impact reflects the most likely impact of a species; (ii) All impact records are equally informative; (iii) Average impact across species adequately represents site conditions.</td>
                <td rowspan="1" colspan="1">(i) Can underestimates high-risk species; (ii) Rare but severe impacts are diluted; (iii) Sensitive to uneven numbers of impact records amongst species.</td>
                <td rowspan="1" colspan="1">Estimating expected impacts, comparisons amongst sites, long-term monitoring.</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1"><bold>Mean Cumulative</bold>: Uses the Mean method to aggregate each species’ impact and then computes the sum of all impact scores in each site. The Mean Cumulative provides the expected impact score within individual species, but adds co-occurring species’ impact scores in each site.</td>
                <td rowspan="1" colspan="1">(i) Mean impact reflects expected species impact; (ii) Species impacts are additive; (iii) Multiple species collectively contribute to site impact.</td>
                <td rowspan="1" colspan="1">(i) Underestimates rare severe impacts; (ii) Assumes additive impacts.</td>
                <td rowspan="1" colspan="1">Monitoring cumulative invasion pressure, comparing invasion burden amongst sites, assessing management outcomes.</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1"><bold>Cumulative</bold>: Uses the Sum of Maximum across Mechanisms method to aggregate each species’ impact and then computes the sum of all species’ impacts per site. The Cumulative method provides a comprehensive view of the site-level impact while considering the impact and mechanisms of multiple species.</td>
                <td rowspan="1" colspan="1">(i) Species affecting ecosystems through multiple mechanisms have greater impact potential; (ii) Different mechanisms contribute independently and additively to the total impact; (iii) Mechanism diversity reflects ecological severity.</td>
                <td rowspan="1" colspan="1">(i) Can strongly favour species with many documented mechanisms; (ii) Depends heavily on completeness of <abbrev xlink:title="Environmental Impact Classification for Alien Taxa">EICAT</abbrev> assessments; (iii) May inflate scores when mechanisms overlap ecologically.</td>
                <td rowspan="1" colspan="1">Comprehensive risk assessments, prioritising sites affected with multiple impact pathways, understanding ecosystem-wide invasion threats.</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">3</td>
                <td rowspan="1" colspan="1">Regional Impact Indicator; compute_regional_indicator (<ext-link xlink:href="https://b-cubed-eu.github.io/impIndicator/reference/compute_regional_indicator.html" ext-link-type="uri">https://b-cubed-eu.github.io/impIndicator/reference/compute_regional_indicator.html</ext-link>)</td>
                <td rowspan="1" colspan="1">The cumulative impact across all alien species and sites in the study region over time.</td>
                <td rowspan="1" colspan="1">Same as above.</td>
                <td rowspan="1" colspan="1">Same as above.</td>
                <td rowspan="1" colspan="1">Same as above.</td>
                <td rowspan="1" colspan="1">Risk assessments of a region, comparing impacts between regions.</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p>We then used these species-level scores to estimate site-level impact. As multiple alien species can co-occur at a site, the impacts of all species recorded at a site were aggregated using one of five methods proposed by <xref ref-type="bibr" rid="B7">Boulesnane-Guengant et al. (2025)</xref>: Precautionary, Precautionary Cumulative, Mean of Means, Mean Cumulative and Cumulative. These methods differ in how impacts are aggregated within and across species (Table <xref ref-type="table" rid="T1">1</xref>, Fig. <xref ref-type="fig" rid="F2">2</xref>).</p>
        <p>Finally, to estimate the impact of alien species at the scale of the study region, we aggregated site-level impact values across all sites within each year. The regional impact was, therefore, computed as the spatial sum of site-level impacts using the same five aggregation approaches as those used for the site-level indicator: Precautionary, Precautionary Cumulative, Mean of Means, Mean Cumulative and Cumulative (Table <xref ref-type="table" rid="T1">1</xref>, Fig. <xref ref-type="fig" rid="F2">2</xref>).</p>
      </sec>
      <sec sec-type="Uncertainty and sensitivity" id="sec6">
        <title>Uncertainty and sensitivity</title>
        <p>To estimate the uncertainty associated with the impact indicators, we used the bootstrapping method. For each year in the occurrence cube, the procedure re-samples individual records (rows) from the cube (including impact scores) with replacement and then re-computes the indicator for each re-sampled dataset. The original cube is treated as the population and re-computing the indicator across multiple bootstrap samples yields a distribution of possible indicator values. The standard error and confidence interval are derived from this distribution (Suppl. material <xref ref-type="supplementary-material" rid="S1">1</xref>: appendix 2). We implemented the bootstrapping and calculated the confidence interval using the dubicube R package (<xref ref-type="bibr" rid="B41">Langeraert and Van Daele 2026</xref>). The uncertainty measure is currently available only for the regional impact indicator.</p>
        <p>To estimate how sensitive the regional impact indicator is to individual species and to identify species that disproportionately influence the regional impact indicator, we used a leave-one-species-out cross-validation (<abbrev xlink:title="leave-one-species-out cross-validation">LOSO-CV</abbrev>) technique. This technique evaluates the extent to which the regional impact indicator is driven by individual species by systematically recalculating the indicator after excluding one species at a time and comparing the resulting values to those obtained from the full occurrence cube. The percentage deviation between the indicator calculated after omitting a species and the full-data indicator provides a measure of the contribution of the left-out species to the regional impact indicator (Suppl. material <xref ref-type="supplementary-material" rid="S1">1</xref>: appendix 3). We implemented the <abbrev xlink:title="leave-one-species-out cross-validation">LOSO-CV</abbrev> using the dubicube R package (<xref ref-type="bibr" rid="B41">Langeraert and Van Daele 2026</xref>).</p>
      </sec>
      <sec sec-type="Software description" id="sec7">
        <title>Software description</title>
        <p>R has become the primary programming language for ecological data analysis over the past decade (<xref ref-type="bibr" rid="B40">Lai et al. 2019</xref>; <xref ref-type="bibr" rid="B19">Gao et al. 2025</xref>). Therefore, we developed an R package, impIndicator (<xref ref-type="bibr" rid="B60">Yahaya et al. 2026</xref>), to facilitate the use of the workflow by ecologists and other stakeholders. The package implements the workflow described in sections: Occurrence data, Impact data, Impact indicators and Uncertainty and sensitivity (Fig. <xref ref-type="fig" rid="F1">1</xref>) and is fully open source. Its source code is available through the Biodiversity Building Blocks for Policy (<abbrev xlink:title="Biodiversity Building Blocks for Policy">B3</abbrev>) GitHub repository (<ext-link xlink:href="https://github.com/b-cubed-eu/impIndicator" ext-link-type="uri">https://github.com/b-cubed-eu/impIndicator</ext-link>). <abbrev xlink:title="Biodiversity Building Blocks for Policy">B3</abbrev> is a European Union Horizon-funded project that aims to standardise access to biodiversity data for proactive policy-making (<ext-link xlink:href="https://b-cubed.eu/" ext-link-type="uri">https://b-cubed.eu/</ext-link>). Each version release is automatically archived on Zenodo (<ext-link xlink:href="10.5281/zenodo.15052675" ext-link-type="doi">https://doi.org/10.5281/zenodo.15052675</ext-link>). The package can be installed directly from the <abbrev xlink:title="Biodiversity Building Blocks for Policy">B3</abbrev> R-universe repository (<ext-link xlink:href="https://b-cubed-eu.r-universe.dev/builds" ext-link-type="uri">https://b-cubed-eu.r-universe.dev/builds</ext-link>):</p>
        <p>
          <inline-graphic xlink:href="neobiota-109-045_article-193861__-i001.jpg" xlink:type="simple" id="oo_1763816.jpg"/>
        </p>
      </sec>
      <sec sec-type="Workflow demonstration" id="sec8">
        <title>Workflow demonstration</title>
        <p>We demonstrated the workflow using <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part></tp:taxon-name></italic> species in the continental regions of the Iberian Peninsula (Spain and Portugal combined), South Africa and California. We produced species-level, site-level and regional impact indicators for <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part></tp:taxon-name></italic> in these three regions, as well as uncertainty and sensitivity analyses for the regional impact indicators, using the impIndicator R package. We downloaded the <abbrev xlink:title="Global Biodiversity Information Facility">GBIF</abbrev> occurrence cube for <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part></tp:taxon-name></italic> in Spain, Portugal, South Africa and California via the <abbrev xlink:title="Global Biodiversity Information Facility">GBIF</abbrev> website (<xref ref-type="bibr" rid="B21">GBIF.org 2026</xref>). The downloaded cubes have an <abbrev xlink:title="Extended Quarter Degree Grid Cell">EQDGC</abbrev> Level 2 (0.25° by 0.25° grid cell) spatial resolution and yearly temporal resolution. We used the <abbrev xlink:title="Extended Quarter Degree Grid Cell">EQDGC</abbrev> because it has been widely used in African atlases and is well-suited to global analyses (<xref ref-type="bibr" rid="B27">Harrison et al. 1997</xref>; <xref ref-type="bibr" rid="B42">Larsen et al. 2009</xref>). In contrast, the European Environment Agency (<abbrev xlink:title="European Environment Agency">EEA</abbrev>) reference grid is only available for Europe. The yearly interval is the basic format of the cube, which can be changed depending on the study. To test the sensitivity of the impact indicators to spatial and temporal resolution, we performed analyses at finer and broader spatial resolutions (0.125° by 0.125° and 0.5° by 0.5° grid cells, respectively) and finer and broader temporal resolutions (1/2-year and 2-year intervals) (Suppl. material <xref ref-type="supplementary-material" rid="S1">1</xref>: appendix 4). We used the <abbrev xlink:title="Environmental Impact Classification for Alien Taxa">EICAT</abbrev> assessment data from <xref ref-type="bibr" rid="B36">Jansen and Kumschick (2022)</xref>, because these are currently more detailed than those available through the <abbrev xlink:title="Global Invasive Species Database">GISD</abbrev>. The data provide the <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part></tp:taxon-name></italic> species name, categories and the mechanism of the impact reported in each source. For all the analyses in this study, we used the default encoding scheme in impIndicator for the transformation of impact category to impact score; <abbrev xlink:title="Minimal Concern">MC</abbrev> = 0, <abbrev xlink:title="Minor">MN</abbrev> = 1, <abbrev xlink:title="Moderate">MO</abbrev> = 2, <abbrev xlink:title="Major">MR</abbrev> = 3 and <abbrev xlink:title="Massive">MV</abbrev> = 4 because it is consistent with the original <abbrev xlink:title="Environmental Impact Classification for Alien Taxa">EICAT</abbrev> categories.</p>
      </sec>
      <sec sec-type="Species-level impact indicator of Acacia species" id="sec9">
        <title>Species-level impact indicator of <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part></tp:taxon-name></italic> species</title>
        <p>As an example, we first prepare acacia_cube_IBR, eicat_acacia and iberian_sf, representing the occurrence cube for <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part></tp:taxon-name></italic> species, <abbrev xlink:title="Environmental Impact Classification for Alien Taxa">EICAT</abbrev> data and the Iberian Peninsula’s shapefile, respectively (see Suppl. material <xref ref-type="supplementary-material" rid="S1">1</xref>: appendix 5). As the spatial object iberian_sf represents only the mainland of the Iberian Peninsula, the impact indicator is computed exclusively for the mainland. Consequently, only species occurrences located within the Iberian mainland area are included in the computation.</p>
        <p>The impIndicator R package provides the function compute_species_indicator to compute the impact indicator per species using the Mean method (Table <xref ref-type="table" rid="T1">1</xref>). The function returns a dataset containing the aggregation method used, the number of species, species names and the impact values for each species. The results demonstrate variability in the impacts of different species across regions. Overall, eleven unique <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part></tp:taxon-name></italic> species with impact evidence occur across the three regions: <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="baileyana">baileyana</tp:taxon-name-part></tp:taxon-name></italic>, <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="cyclops">cyclops</tp:taxon-name-part></tp:taxon-name></italic>, <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="dealbata">dealbata</tp:taxon-name-part></tp:taxon-name></italic>, <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="decurrens">decurrens</tp:taxon-name-part></tp:taxon-name></italic>, <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="elata">elata</tp:taxon-name-part></tp:taxon-name></italic>, <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="longifolia">longifolia</tp:taxon-name-part></tp:taxon-name></italic>, <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="mearnsii">mearnsii</tp:taxon-name-part></tp:taxon-name></italic>, <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="melanoxylon">melanoxylon</tp:taxon-name-part></tp:taxon-name></italic>, <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="pycnantha">pycnantha</tp:taxon-name-part></tp:taxon-name></italic>, <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="salicina">salicina</tp:taxon-name-part></tp:taxon-name></italic> and <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="saligna">saligna</tp:taxon-name-part></tp:taxon-name></italic>. Specifically, <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="dealbata">dealbata</tp:taxon-name-part></tp:taxon-name></italic>, <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="mearnsii">mearnsii</tp:taxon-name-part></tp:taxon-name></italic> and <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="baileyana">baileyana</tp:taxon-name-part></tp:taxon-name></italic> have the highest impact values in the Iberian Peninsula, South Africa and California, respectively (Fig. <xref ref-type="fig" rid="F3">3</xref>). The output can be displayed in the console using the print function. The following shows an example of the code and output for the species-level impact indicator of <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part></tp:taxon-name></italic> in the Iberian Peninsula.</p>
        <p>
          <inline-graphic xlink:href="neobiota-109-045_article-193861__-i002.jpg" xlink:type="simple" id="oo_1763817.jpg"/>
        </p>
        <fig id="F3">
          <object-id content-type="arpha">8185CBA4-AC03-5622-BD88-7C49C1E90964</object-id>
          <label>Figure 3.</label>
          <caption>
            <p>Species-level impact indicator of <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part></tp:taxon-name></italic> species in: <bold>a</bold>. The Iberian Peninsula; <bold>b</bold>. South Africa, and <bold>c</bold>. California. Each species’ impact value is calculated as the mean impact score across its recorded assessments multiplied by the total number of sites occupied by the species. An increase in the impact indicator reflect a growing number of occupied grid cells, which may result from genuine species spread, increased sampling effort or both. The letters (a), (b) and (c) preceding each species name indicate that the species is present in the corresponding study region included in the analysis.</p>
          </caption>
          <graphic xlink:href="neobiota-109-045_article-193861__-g003.jpg" id="oo_1763802.jpg">
            <uri content-type="original_file">https://binary.pensoft.net/fig/1763802</uri>
          </graphic>
        </fig>
      </sec>
      <sec sec-type="Site-level impact indicator of Acacia species" id="sec10">
        <title>Site-level impact indicator of <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part></tp:taxon-name></italic> species</title>
        <p>We used the compute_site_indicator function to compute the site-level impact indicator using the Mean Cumulative method. The function returns a dataset containing the aggregation method used, the number of sites, the number of species and the impact value for each site. We visualised the site-level impact indicator for 2014, 2019 and 2024 in each region, highlighting their spatial patterns of impact (Fig. <xref ref-type="fig" rid="F4">4</xref>). The following shows an example of the code and output for computing the site-level impact indicator for <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part></tp:taxon-name></italic> in the Iberian Peninsula.</p>
        <p>
          <inline-graphic xlink:href="neobiota-109-045_article-193861__-i003.jpg" xlink:type="simple" id="oo_1763818.jpg"/>
        </p>
        <fig id="F4">
          <object-id content-type="arpha">0E942F56-C013-57D4-8FC5-01C463884D94</object-id>
          <label>Figure 4.</label>
          <caption>
            <p>Site-level impact indicator of <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part></tp:taxon-name></italic> species in: <bold>a</bold>. The Iberian Peninsula; <bold>b</bold>. South Africa, and <bold>c</bold>. California for 2014, 2019 and 2024. The site-level impact indicator represents the Mean Cumulative impact score (see Materials and methods) aggregated across all <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part></tp:taxon-name></italic> species at each site. It is calculated by assigning each species its mean impact score of all recorded impact assessments and summing these values within each site (Fig. <xref ref-type="fig" rid="F2">2</xref>), thereby providing a spatial representation of Fig. <xref ref-type="fig" rid="F3">3</xref>, with average species impact scores summed within each grid cell. Changes in the distribution of coloured grid cells should be interpreted with caution. The disappearance of a coloured grid cell does not necessarily indicate local disappearance of a species, but may instead reflect incomplete or uneven sampling, including the absence of observations in subsequent surveys. The world map locator (d) indicates the Iberian Peninsula (red), South Africa (green) and California (blue).</p>
          </caption>
          <graphic xlink:href="neobiota-109-045_article-193861__-g004.jpg" id="oo_1763803.jpg">
            <uri content-type="original_file">https://binary.pensoft.net/fig/1763803</uri>
          </graphic>
        </fig>
      </sec>
      <sec sec-type="Regional impact indicator of Acacia species" id="sec11">
        <title>Regional impact indicator of <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part></tp:taxon-name></italic> species</title>
        <p>We used the compute_regional_indicator function to compute the regional impact indicator using the Mean Cumulative method. Confidence intervals were estimated from the bootstrap replicates using the percentile method. The function returns a dataset containing the method used to compute the indicator, the number of sites, the number of species and the regional impact value together with its confidence interval. The resulting plot shows the regional impact indicator of <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part></tp:taxon-name></italic> for each region, indicating that regional impact values are higher in the Iberian Peninsula and South Africa than in California (Fig. <xref ref-type="fig" rid="F5">5</xref>). The following shows an example of the code and output for computing the regional impact indicator for <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part></tp:taxon-name></italic> in the Iberian Peninsula.</p>
        <p>
          <inline-graphic xlink:href="neobiota-109-045_article-193861__-i004.jpg" xlink:type="simple" id="oo_1763819.jpg"/>
        </p>
        <fig id="F5">
          <object-id content-type="arpha">3F72B1BE-8FBC-5A8F-8244-BFDF06746E32</object-id>
          <label>Figure 5.</label>
          <caption>
            <p>Regional impact indicator of <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part></tp:taxon-name></italic> species in the Iberian Peninsula (blue circle), South Africa (green triangle) and California (red square), illustrating the cumulative impact value for each year. The impact indicator is calculated using the Mean Cumulative method, where each species is assigned its mean impact score across all recorded impact assessments and these scores are summed across all sites for each year (Fig. <xref ref-type="fig" rid="F2">2</xref>). It therefore represents the spatial sum of the site-level impact indicators derived from the species-level indicators shown in Fig. <xref ref-type="fig" rid="F3">3</xref>. The error bars represent 95% confidence intervals, calculated using the percentile bootstrap method. Wider confidence intervals indicate greater uncertainty in the estimated impact indicator for that year. The number of bootstrap replicates was 1000. Changes in the regional impact indicator should be interpreted with caution. Increases may reflect genuine species spread, increased sampling effort or both, whereas decreases may be an artefact resulting from reduced detection or reporting rather than true declines in species distributions or impacts.</p>
          </caption>
          <graphic xlink:href="neobiota-109-045_article-193861__-g005.jpg" id="oo_1763804.jpg">
            <uri content-type="original_file">https://binary.pensoft.net/fig/1763804</uri>
          </graphic>
        </fig>
      </sec>
      <sec sec-type="Sensitivity of the regional impact indicator to Acacia species" id="sec12">
        <title>Sensitivity of the regional impact indicator to <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part></tp:taxon-name></italic> species</title>
        <p>We applied the <abbrev xlink:title="leave-one-species-out cross-validation">LOSO-CV</abbrev> Percentage Error analysis to the regional impact indicator for <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part></tp:taxon-name></italic> in the three regions using the Mean Cumulative method. The <abbrev xlink:title="leave-one-species-out cross-validation">LOSO-CV</abbrev> Percentage Error quantifies how individual species contribute to the impact indicators across the three regions. For example, <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="dealbata">dealbata</tp:taxon-name-part></tp:taxon-name></italic> contributed approximately 55% to the regional impact indicator in the Iberian Peninsula in 2010 (Fig. <xref ref-type="fig" rid="F6">6</xref>). Specifically, <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="dealbata">dealbata</tp:taxon-name-part></tp:taxon-name></italic>, <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="mearnsii">mearnsii</tp:taxon-name-part></tp:taxon-name></italic> and <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="baileyana">baileyana</tp:taxon-name-part></tp:taxon-name></italic> made the largest contributions to the regional impact indicator in the Iberian Peninsula, South Africa and California, respectively.</p>
        <fig id="F6">
          <object-id content-type="arpha">F13C0913-487C-50AC-BE43-3F19327AF027</object-id>
          <label>Figure 6.</label>
          <caption>
            <p>Sensitivity analysis of the regional impact indicator using the <abbrev xlink:title="leave-one-species-out cross-validation">LOSO-CV</abbrev> Perc. (Percentage) Error for each <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part></tp:taxon-name></italic> species in Fig. <xref ref-type="fig" rid="F5">5</xref>. The <abbrev xlink:title="leave-one-species-out cross-validation">LOSO-CV</abbrev> Percentage Error indicates the percentage contribution of each species to the regional impact indicator (denoted as <italic>I</italic> = at the top of each year) for each year shown on the x-axis.</p>
          </caption>
          <graphic xlink:href="neobiota-109-045_article-193861__-g006.jpg" id="oo_1763805.jpg">
            <uri content-type="original_file">https://binary.pensoft.net/fig/1763805</uri>
          </graphic>
        </fig>
      </sec>
      <sec sec-type="Sensitivity to spatial and temporal resolution" id="sec13">
        <title>Sensitivity to spatial and temporal resolution</title>
        <p>The impact values varied consistently with spatial and temporal resolution. Specifically, the range of site-level impact values across the three regions decreased as spatial resolution increased (Fig. <xref ref-type="fig" rid="F4">4</xref>, Suppl. material <xref ref-type="supplementary-material" rid="S1">1</xref>: appendix 4, figs S2, S5). In contrast, species-level and regional impact values increased consistently with increasing spatial resolution (Figs <xref ref-type="fig" rid="F3">3</xref>, <xref ref-type="fig" rid="F5">5</xref>, Suppl. material <xref ref-type="supplementary-material" rid="S1">1</xref>: appendix 1, figs S1, S3, S4, S6). This pattern arises because finer spatial resolution aggregates fewer species within individual sites (grid cells), resulting in lower site-level impact values. At the same time, finer resolution increases the number of occupied sites, leading to higher species-level and regional impact values.</p>
        <p>The species-level and regional impact values decreased with coarser temporal resolution (Figs <xref ref-type="fig" rid="F3">3</xref>, <xref ref-type="fig" rid="F5">5</xref>, Suppl. material <xref ref-type="supplementary-material" rid="S1">1</xref>: appendix 1, figs S7, S9, S10, S11), whereas site-level impact values showed little variation across the three temporal resolutions (Fig. <xref ref-type="fig" rid="F4">4</xref>, Suppl. material <xref ref-type="supplementary-material" rid="S1">1</xref>: appendix 1, figs S8, S12). This is because finer temporal resolution partitions occurrence records into shorter time intervals, reducing the number of species and sites aggregated within each interval and consequently lowering species-level and regional impact values.</p>
      </sec>
    </sec>
    <sec sec-type="Discussion" id="sec14">
      <title>Discussion</title>
      <sec sec-type="Workflow" id="sec15">
        <title>Workflow</title>
        <p>Rapid and reliable monitoring information is required to enable effective management of threats to biodiversity (<xref ref-type="bibr" rid="B56">UNEP 2022</xref>). In this study, we developed a reproducible workflow and an accompanying R package, impIndicator, to quantify species-level, site-level and regional impact indicators that track temporal and spatial changes in the impacts of alien species. Together, the workflow and software provide a practical framework for translating occurrence and impact data into indicators that provide information for evidence-based management and policy decisions related to biological invasions. By packaging the workflow into an accessible tool, the impIndicator R package facilitates the application of these indicators by researchers, conservation practitioners and policy stakeholders.</p>
        <p>The values of the impact indicators generated by the workflow are driven by changes in the distribution of alien species within the study region. For example, the regional impact indicator increases when an alien species spreads to additional sites or when a new alien species is recorded in the study region (Fig. <xref ref-type="fig" rid="F5">5</xref>). Consequently, the impact indicators reflect both spatial expansion and the accumulation of impacts through time. As the indicators are sensitive to the spatial and temporal resolution of the underlying data, their absolute values should not be interpreted in isolation. Instead, they are most informative when compared across species, sites, regions or time using the same methodological settings. For example, the regional impact value for 2022 can only be interpreted as indicating a higher or lower impact relative to other years. Accordingly, the primary value of these indicators lies in supporting comparative assessments rather than providing absolute measures of impact. Nevertheless, additional factors, such as sampling completeness and species detectability, may influence the estimated indicator values. We discuss the implications of sampling completeness for the <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part></tp:taxon-name></italic> case study later in this section.</p>
      </sec>
      <sec sec-type="Comparable impact indicators" id="sec16">
        <title>Comparable impact indicators</title>
        <p>Species can be assigned their maximum recorded impact score, consistent with the approach adopted by the IUCN to support a precautionary framework for biodiversity conservation (<xref ref-type="bibr" rid="B38">Kumschick et al. 2024</xref>). However, this practice has been questioned by <xref ref-type="bibr" rid="B13">Cassini (2023)</xref>, who argued that the maximum impact approach may not be appropriate for all purposes and departs from classical measures of central tendency, such as the mean, commonly used in ecological analyses. Moreover, the maximum method ignores the variation in magnitude, thereby obscuring the ranking of species for prioritisation (<xref ref-type="bibr" rid="B58">Volery et al. 2021</xref>). By offering flexible aggregation options, including the mean impact score and the sum of maximum impact across mechanisms, our workflow addresses these concerns by enabling users to select aggregation methods aligned with their specific research or management objectives. This flexibility also facilitates comparison with and integration of existing impact frameworks. For example, the impact risk maps described by <xref ref-type="bibr" rid="B39">Kumschick et al. (2025)</xref> are equivalent to our site-level impact indicators, while our workflow further extends this approach by allowing multiple options for aggregating species impact scores within sites (<xref ref-type="bibr" rid="B7">Boulesnane-Guengant et al. 2025</xref>).</p>
        <p>As each indicator method employs a different aggregation strategy, the resulting indicators can produce substantially different estimates of impact. The choice of method should be guided by the objectives of the analysis and the assumptions underlying each approach. For example, the precautionary site-level indicator assigns the maximum impact score amongst species present at a site. As a result, when all species considered have been classified as causing high impacts (e.g. Major or Massive) at least once, the indicator may show little or no variation amongst sites because each site is assigned the same maximum score. In contrast, methods such as the Mean Cumulative indicator incorporate the contributions of all species and their average impacts, allowing greater variation in site-level impact values and providing a representation of cumulative invasion pressure (<xref ref-type="bibr" rid="B7">Boulesnane-Guengant et al. 2025</xref>).</p>
        <p>Furthermore, the site-level impact indicator serves as a visual and analytical tool to represent the intensity of biological invasions across different parts of an area (e.g. Fig. <xref ref-type="fig" rid="F4">4</xref>). By enabling spatial comparisons, such as between provinces, states or conservation areas, it highlights hotspots and areas at risk of impact caused by alien species. These spatial data are useful for prioritising management actions, coordinating restoration projects and fostering cross-regional collaboration to address alien species impacts effectively (<xref ref-type="bibr" rid="B50">Potgieter et al. 2022</xref>).</p>
        <p>The regional impact indicator offers a nuanced representation of temporal changes in alien species impacts at local, regional or global scales (e.g. Fig. <xref ref-type="fig" rid="F5">5</xref>). By tracking the increase and decrease of ecological threats over time, the indicator can provide insights into the dynamics of alien species impacts, helping assess whether current management practices are effective or need adjustment. This temporal perspective can also support more targeted resource allocation and proactive interventions to mitigate biodiversity loss and ecosystem degradation.</p>
        <p>The <abbrev xlink:title="leave-one-species-out cross-validation">LOSO-CV</abbrev> Percentage Error evaluates the sensitivity of the regional impact indicator to the removal of individual species, highlighting how strongly the regional impact depends on particular species and providing insight into the potential consequences of species control or removal. In contrast, the species-level impact indicator is intended for direct comparison amongst species, enabling the ranking and prioritisation of species, providing information for control strategies and advancing research on alien species’ ecological roles and adaptation patterns.</p>
      </sec>
      <sec sec-type="The three regions" id="sec17">
        <title>The three regions</title>
        <p>The Iberian Peninsula is one of the European hotspots for invasions by <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part></tp:taxon-name></italic> species (<xref ref-type="bibr" rid="B6">Botella et al. 2023</xref>). This prominence has spurred research on their management in recent years (<xref ref-type="bibr" rid="B44">Marchante et al. 2024</xref>), reflecting both ecological impacts and socioeconomic costs associated with these invasions. In Portugal, the significant environmental damage caused by <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part></tp:taxon-name></italic> species has led to strict regulatory measures: all <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part></tp:taxon-name></italic> species are currently subject to legal restrictions (Decreto-Lei no. 92/2019). Although <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part></tp:taxon-name></italic> species are widely distributed across mainland Portugal and the north-western and coastal regions of Spain, our results revealed substantial spatial variability in their impact across the Peninsula. Thus, a widespread distribution does not necessarily translate into uniformly high impact. This heterogeneity is especially relevant for management planning. Comprehensive control of all <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part></tp:taxon-name></italic> species across the entire Iberian Peninsula would require considerable financial and logistical resources. Therefore, species-level and site-level impact indicators provide a more strategic approach, enabling managers to prioritise the most impactful species and the most affected sites. Such targeted prioritisation can improve cost-effectiveness and enhance the overall efficiency of invasion management efforts in the region.</p>
        <p>The California Invasive Plant Council (<abbrev xlink:title="California Invasive Plant Council">Cal-IPC</abbrev>) is a non-governmental organisation that works to protect California’s environment from invasive plants through science and policy. The <abbrev xlink:title="California Invasive Plant Council">Cal-IPC</abbrev> classifies species according to their impacts into five categories (High, Moderate, Limited, Alert and Watch), based on state-wide spread as a proxy for their ecological impact. Ten <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part></tp:taxon-name></italic> species have been listed in their inventory as having a significant current impact and/or a risk of becoming invasive (<xref ref-type="bibr" rid="B55">The Cal-IPC Inventory – California Invasive Plant Council 2026</xref>). Most of these species are classified as Watch due to their potential future impact, leading to the conclusion that <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part></tp:taxon-name></italic> species currently have relatively minor ecological impacts in California compared with other Mediterranean-climate regions (<xref ref-type="bibr" rid="B52">Rundel 2023</xref>). This aligns with our results, which showed lower indicator values in California than in the Iberian Peninsula and South Africa (Fig. <xref ref-type="fig" rid="F5">5</xref>).</p>
        <p>Since the <abbrev xlink:title="Environmental Impact Classification for Alien Taxa">EICAT</abbrev> impact scores assigned to each species remain constant through time, the increase in impact values, for instance between 2018 and 2021 in South Africa (Figs <xref ref-type="fig" rid="F3">3</xref>b, 5), is mainly due to additional occurrence records, which may reflect either genuine spread to new sites or increased recording effort. However, the apparent rate of spread inferred from our indicators differs from that reported by <xref ref-type="bibr" rid="B37">Kotzé et al. (2025)</xref>, who surveyed South African sites during 2007–2008 and 2016–2023 using observers in low-flying aircraft and estimated an increase of only 10.6% between the two survey periods. This discrepancy is most likely attributable to differences in sampling effort and data sources. In particular, the dataset used by <xref ref-type="bibr" rid="B37">Kotzé et al. (2025)</xref> is not included in the <abbrev xlink:title="Global Biodiversity Information Facility">GBIF</abbrev> occurrence records analysed here and the increase in records between 2018 and 2021 is likely associated with the incorporation of iNaturalist observations into <abbrev xlink:title="Global Biodiversity Information Facility">GBIF</abbrev>. Similar effects may also influence the impact indicators in the other study regions.</p>
      </sec>
      <sec sec-type="Challenges and limitations" id="sec18">
        <title>Challenges and limitations</title>
        <p>Apart from the sensitivity of the impact indicators to spatial and temporal resolution discussed above, we highlight that the indicators should be interpreted with caution, because observed trends may reflect changes in sampling effort in addition to genuine changes in species distributions. This is a common limitation of biodiversity occurrence datasets, arising from factors such as (i) delays between field observations and their publication; (ii) the exclusion of datasets that are not openly available; (iii) temporal changes in data availability as large datasets become publicly accessible (e.g. the incorporation of iNaturalist records) and (iv) non-systematic sampling. One way to reduce these limitations is to incorporate locally collected occurrence data, particularly those based on systematic or high-intensity sampling, even when they are not yet available through <abbrev xlink:title="Global Biodiversity Information Facility">GBIF</abbrev>. Ideally, this should be complemented by more rapid and comprehensive integration of such datasets into <abbrev xlink:title="Global Biodiversity Information Facility">GBIF</abbrev>.</p>
        <p>Another limitation of this workflow is the current lack of <abbrev xlink:title="Environmental Impact Classification for Alien Taxa">EICAT</abbrev> impact assessments for most alien taxa, although ongoing initiatives are expanding the taxonomic coverage through coordinated assessment project, and few assessments are available in the scientific literature (e.g. <xref ref-type="bibr" rid="B18">Evans et al. (2016)</xref>; <xref ref-type="bibr" rid="B12">Canavan et al. (2019)</xref>; <xref ref-type="bibr" rid="B58">Volery et al. (2021)</xref>; <xref ref-type="bibr" rid="B36">Jansen and Kumschick (2022)</xref>). At present, these assessments are neither fully open nor fully <abbrev xlink:title="Findable, Accessible, Interoperable and Reusable">FAIR</abbrev>, requiring users to provide their own assessment data for many taxa and regions. The workflow also assumes that impact magnitudes recorded in one location are transferable to other locations (<xref ref-type="bibr" rid="B28">Hayes and Barry 2008</xref>), although this assumption may not hold in all ecological contexts, such as island ecosystems. Since most available impact assessments are not specific to the study region, the impact indicators presented here represent potential impacts, which may differ from the realised effects of alien species within the study region or at individual sites. As additional impact assessments become available, it will become possible to filter for impacts relevant to the region of interest or other ecological criteria. However, such geographically explicit impact data remain unavailable for most invaded regions.</p>
      </sec>
      <sec sec-type="Further developments" id="sec19">
        <title>Further developments</title>
        <p>Feedback will be collected via the issue tracker on the impIndicator GitHub repository (<ext-link xlink:href="https://github.com/b-cubed-eu/impIndicator/issues" ext-link-type="uri">https://github.com/b-cubed-eu/impIndicator/issues</ext-link>). Future versions of the package will extend uncertainty calculation and visualisation to species-level and site-level impact indicators. Recent advances in deep learning species distribution models (SDMs) (<xref ref-type="bibr" rid="B53">Ryckewaert et al. 2025</xref>) provide an opportunity to extend the workflow to project the potential impact of alien species across space and time. Such models combine species occurrence records with environmental predictors to estimate species distributions, including in areas with limited sampling or undetected occurrences (<xref ref-type="bibr" rid="B48">Pearson et al. 2007</xref>; <xref ref-type="bibr" rid="B1">Algar et al. 2009</xref>). This approach could help reduce biases associated with uneven or unknown sampling effort, including delays between field observations and their subsequent publication through <abbrev xlink:title="Global Biodiversity Information Facility">GBIF</abbrev>, thereby improving the robustness of the resulting impact indicators.</p>
      </sec>
    </sec>
    <sec sec-type="Conclusions" id="sec20">
      <title>Conclusions</title>
      <p>This study presents a workflow and accompanying software for computing impact indicators for alien species using open-source data. As alien species continue to spread and increase in abundance, they can have substantial negative impacts on native species and ecosystem functioning. By integrating species occurrences with assessments of ecological impacts, we developed a workflow and an R package that computes impact indicators for alien species. These indicators represent both the spatial extent of species distributions and the severity of their potential impacts. We demonstrate the application of this workflow using <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Acacia">Acacia</tp:taxon-name-part></tp:taxon-name></italic> species in three regions: the Iberian Peninsula, South Africa and California.</p>
      <p>The workflow is sensitive to the spatial and temporal resolution of the underlying occurrence data and to the completeness of those data. Caution should be exercised when interpreting the absolute values of the impact indicator because they depend on the methodological settings and the characteristics of the underlying data. Nevertheless, comparisons of indicator values across regions or through time provide a robust framework for tracking changes in the potential impacts of alien species. Where available, users can improve the robustness of the indicators by incorporating more complete or region-specific occurrence datasets. Like all impact indicators, those developed here are proxies for realised ecological impacts. By explicitly incorporating standardised information on impact magnitude in addition to species occurrence data, our workflow provides a more informative representation of potential impacts than occurrence-based indicators alone. The workflow can support researchers, conservation practitioners and policy-makers in identifying alien species and regions with the greatest potential for significant harm. By highlighting species and regions where impacts may be greatest, this approach can help guide management actions and prioritise efforts to mitigate biological invasions, contributing to the protection of biodiversity and the maintenance of healthy ecosystems.</p>
    </sec>
  </body>
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    <sec sec-type="Additional information" id="sec21">
      <title>Additional information</title>
      <sec sec-type="Conflict of interest" id="sec22">
        <title>Conflict of interest</title>
        <p>The authors have declared that no competing interests exist.</p>
      </sec>
      <sec sec-type="Ethical statement" id="sec23">
        <title>Ethical statement</title>
        <p>No ethical statement was reported.</p>
      </sec>
      <sec sec-type="Artificial Intelligence (AI) use" id="sec24">
        <title>Artificial Intelligence (AI) use</title>
        <p>The first author used Grammarly and ChatGPT to improve the grammar of this work during its preparation. After using the tools, all authors revised the content and take full responsibility for the work.</p>
      </sec>
      <sec sec-type="Funding" id="sec25">
        <title>Funding</title>
        <p>The authors are part of the team of <abbrev xlink:title="Biodiversity Building Blocks for Policy">B3</abbrev> (Biodiversity Building Blocks for policy), funded by the European Union's Horizon Europe Research and Innovation Programme (ID No. 101059592). Views and opinions expressed are however those of the authors only and do not necessarily reflect those of the European Union or the European Commission. Neither the EU nor the EC can be held responsible for them. We also acknowledge additional support from the National Research Foundation of South Africa (NRF 89967).</p>
      </sec>
      <sec sec-type="Author contributions" id="sec26">
        <title>Author contributions</title>
        <p>MMY coded the workflow in R. Supervision was performed by SK, SM, PL and CH. All authors contributed to the conceptualisation and writing of the manuscript.</p>
      </sec>
      <sec sec-type="Author ORCIDs" id="sec27">
        <title>Author ORCIDs</title>
        <p>M.M. Yahaya <ext-link xlink:href="https://orcid.org/0009-0008-9200-0863" ext-link-type="uri">https://orcid.org/0009-0008-9200-0863</ext-link></p>
        <p>S. Kumschick <ext-link xlink:href="https://orcid.org/0000-0001-8034-5831" ext-link-type="uri">https://orcid.org/0000-0001-8034-5831</ext-link></p>
        <p>S. MacFadyen <ext-link xlink:href="https://orcid.org/0000-0002-5316-440X" ext-link-type="uri">https://orcid.org/0000-0002-5316-440X</ext-link></p>
        <p>P. Landi <ext-link xlink:href="https://orcid.org/0000-0002-6373-2992" ext-link-type="uri">https://orcid.org/0000-0002-6373-2992</ext-link></p>
        <p>C. Hui <ext-link xlink:href="https://orcid.org/0000-0002-3660-8160" ext-link-type="uri">https://orcid.org/0000-0002-3660-8160</ext-link></p>
      </sec>
      <sec sec-type="Data availability" id="sec28">
        <title>Data availability</title>
        <p>The package implementing the workflow described in this study is fully open source. Its source code is hosted on the GitHub repository of the European Union Horizon <abbrev xlink:title="Biodiversity Building Blocks for Policy">B3</abbrev> project (<ext-link xlink:href="https://github.com/b-cubed-eu/impIndicator" ext-link-type="uri">https://github.com/b-cubed-eu/impIndicator</ext-link>), with each released version automatically archived on Zenodo (<ext-link xlink:href="10.5281/zenodo.15052675" ext-link-type="doi">https://doi.org/10.5281/zenodo.15052675</ext-link>). The package can be installed directly from the <abbrev xlink:title="Biodiversity Building Blocks for Policy">B3</abbrev> R-universe repository (<ext-link xlink:href="https://b-cubed-eu.r-universe.dev/builds" ext-link-type="uri">https://b-cubed-eu.r-universe.dev/builds</ext-link>).</p>
      </sec>
    </sec>
    <sec sec-type="supplementary-material">
      <title>Supplementary materials</title>
      <supplementary-material id="S1" position="float" orientation="portrait" xlink:type="simple">
        <object-id content-type="doi">10.3897/neobiota.109.193861.suppl1</object-id>
        <object-id content-type="arpha">4A4E8FB1-0C99-5980-90D5-5AE145573FEA</object-id>
        <label>Supplementary material 1</label>
        <caption>
          <p>Supplementary information</p>
        </caption>
        <statement content-type="dataType">
          <label>Data type</label>
          <p>docx</p>
        </statement>
        <media xlink:href="neobiota-109-045_article-193861__-s001.docx" mimetype="application" mime-subtype="vnd.openxmlformats-officedocument.wordprocessingml.document" position="float" orientation="portrait" id="oo_1763810.docx">
          <uri content-type="original_file">https://binary.pensoft.net/file/1763810</uri>
        </media>
        <permissions>
          <license>
            <license-p>This dataset is made available under the Open Database License (<ext-link ext-link-type="uri" xlink:href="http://opendatacommons.org/licenses/odbl/1.0/">http://opendatacommons.org/licenses/odbl/1.0/</ext-link>). The Open Database License (ODbL) is a license agreement intended to allow users to freely share, modify, and use this Dataset while maintaining this same freedom for others, provided that the original source and author(s) are credited.</license-p>
          </license>
        </permissions>
        <attrib specific-use="authors"> Mukhtar M. Yahaya, Sabrina Kumschick, Sandra MacFadyen, Pietro Landi, Cang Hui</attrib>
      </supplementary-material>
    </sec>
  </back>
</article>
