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  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher-id">106</journal-id>
      <journal-id journal-id-type="index">urn:lsid:arphahub.com:pub:dddd9632-2f62-529d-aa08-fcb37c695039</journal-id>
      <journal-id journal-id-type="aggregator">urn:lsid:zoobank.org:pub:73014291-F6B9-403A-8AC3-FAC9C44FEF36</journal-id>
      <journal-title-group>
        <journal-title xml:lang="en">Acta Ichthyologica et Piscatoria</journal-title>
        <abbrev-journal-title xml:lang="en">AIeP</abbrev-journal-title>
      </journal-title-group>
      <issn pub-type="ppub">0137-1592</issn>
      <issn pub-type="epub">1734-1515</issn>
      <publisher>
        <publisher-name>Pensoft Publishers</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.3897/aiep.56.199776</article-id>
      <article-id pub-id-type="publisher-id">199776</article-id>
      <article-categories>
        <subj-group subj-group-type="heading">
          <subject>Research Article</subject>
        </subj-group>
        <subj-group subj-group-type="biological_taxon">
          <subject>Osteichthyes</subject>
        </subj-group>
        <subj-group subj-group-type="scientific_subject">
          <subject>Theory &amp; Methodology</subject>
        </subj-group>
        <subj-group subj-group-type="geographical_area">
          <subject>Africa</subject>
        </subj-group>
        <subj-group subj-group-type="sdg">
          <subject>Life below water</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title>Stock assessment of small tunas, <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">Euthynnus</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> and <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">Auxis</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> (<tp:taxon-name><tp:taxon-name-part taxon-name-part-type="class" reg="Actinopterygii">Actinopterygii</tp:taxon-name-part></tp:taxon-name>, <tp:taxon-name><tp:taxon-name-part taxon-name-part-type="order" reg="Scombriformes">Scombriformes</tp:taxon-name-part></tp:taxon-name>, <tp:taxon-name><tp:taxon-name-part taxon-name-part-type="family" reg="Scombridae">Scombridae</tp:taxon-name-part></tp:taxon-name>), in central Mediterranean (GSA 13): Implications for fishery management using data-limited approaches</article-title>
      </title-group>
      <contrib-group content-type="authors">
        <contrib contrib-type="author" corresp="no">
          <name name-style="western">
            <surname>Mili</surname>
            <given-names>Sami</given-names>
          </name>
          <uri content-type="orcid">https://orcid.org/0000-0002-2625-8064</uri>
          <xref ref-type="aff" rid="A1">1</xref>
          <xref ref-type="aff" rid="A2">2</xref>
        </contrib>
        <contrib contrib-type="author" corresp="no">
          <name name-style="western">
            <surname>Ennouri</surname>
            <given-names>Rym</given-names>
          </name>
          <uri content-type="orcid">https://orcid.org/0000-0002-7556-3874</uri>
          <xref ref-type="aff" rid="A3">3</xref>
          <xref ref-type="aff" rid="A4">4</xref>
        </contrib>
        <contrib contrib-type="author" corresp="yes">
          <name name-style="western">
            <surname>Agrebi</surname>
            <given-names>Siwar</given-names>
          </name>
          <email xlink:type="simple">siwara1.agrebi@gmail.com</email>
          <uri content-type="orcid">https://orcid.org/0009-0001-7413-7339</uri>
          <xref ref-type="aff" rid="A1">1</xref>
        </contrib>
        <contrib contrib-type="author" corresp="no">
          <name name-style="western">
            <surname>Bejaoui</surname>
            <given-names>Safa</given-names>
          </name>
          <xref ref-type="aff" rid="A1">1</xref>
          <xref ref-type="aff" rid="A4">4</xref>
        </contrib>
        <contrib contrib-type="author" corresp="no">
          <name name-style="western">
            <surname>M. Morsi</surname>
            <given-names>Maissa</given-names>
          </name>
          <uri content-type="orcid">https://orcid.org/0000-0001-5802-6244</uri>
          <xref ref-type="aff" rid="A5">5</xref>
        </contrib>
        <contrib contrib-type="author" corresp="no">
          <name name-style="western">
            <surname>Ben Ali</surname>
            <given-names>Manel</given-names>
          </name>
          <uri content-type="orcid">https://orcid.org/0000-0002-0313-9687</uri>
          <xref ref-type="aff" rid="A5">5</xref>
        </contrib>
        <contrib contrib-type="author" corresp="no">
          <name name-style="western">
            <surname>Hedfi</surname>
            <given-names>Amor</given-names>
          </name>
          <xref ref-type="aff" rid="A5">5</xref>
        </contrib>
      </contrib-group>
      <aff id="A1">
        <label>1</label>
        <addr-line content-type="verbatim">University of Carthage, Faculty of Sciences of Bizerte, Zarzouna, Bizerte, Tunisia</addr-line>
        <institution>Department of Biology, College of Sciences, Taif University</institution>
        <addr-line content-type="city">Taif</addr-line>
        <country>Saudi Arabia</country>
        <uri content-type="ror">https://ror.org/014g1a453</uri>
      </aff>
      <aff id="A2">
        <label>2</label>
        <addr-line content-type="verbatim">University of Carthage, Laboratory of Fisheries Sciences, National Institute of Marine Sciences and Technologies, Salammbô, Tunis, Tunisia</addr-line>
        <institution>Laboratory of Ecology, Biology and Physiology of Aquatic Organisms, Faculty of Sciences of Tunis, University of Tunis El Manar</institution>
        <addr-line content-type="city">Tunis</addr-line>
        <country>Tunisia</country>
        <uri content-type="ror">https://ror.org/02q1spa57</uri>
      </aff>
      <aff id="A3">
        <label>3</label>
        <addr-line content-type="verbatim">University of Carthage, Higher Institute of Marine Sciences of Bizerte, Errimel, Bizerte, Tunisia</addr-line>
        <institution>University of Carthage, Laboratory of Fisheries Sciences, National Institute of Marine Sciences and Technologies</institution>
        <addr-line content-type="city">Tunis</addr-line>
        <country>Tunisia</country>
        <uri content-type="ror">https://ror.org/057x6za15</uri>
      </aff>
      <aff id="A4">
        <label>4</label>
        <addr-line content-type="verbatim">Laboratory of Ecology, Biology and Physiology of Aquatic Organisms, Faculty of Sciences of Tunis, University of Tunis El Manar, Tunis, Tunisia</addr-line>
        <institution>University of Carthage, Faculty of Sciences of Bizerte</institution>
        <addr-line content-type="city">Bizerte</addr-line>
        <country>Tunisia</country>
      </aff>
      <aff id="A5">
        <label>5</label>
        <addr-line content-type="verbatim">Department of Biology, College of Sciences, Taif University, Taif, Saudi Arabia</addr-line>
        <institution>University of Carthage, Higher Institute of Marine Sciences of Bizerte</institution>
        <addr-line content-type="city">Bizerte</addr-line>
        <country>Tunisia</country>
      </aff>
      <author-notes>
        <fn fn-type="corresp">
          <p>Corresponding author: Siwar Agrebi (<email xlink:type="simple">siwara1.agrebi@gmail.com</email>)</p>
        </fn>
        <fn>
          <p>Sanja Matić-Skoko</p>
        </fn>
      </author-notes>
      <pub-date pub-type="collection">
        <year>2026</year>
      </pub-date>
      <pub-date pub-type="epub">
        <day>17</day>
        <month>08</month>
        <year>2026</year>
      </pub-date>
      <volume>56</volume>
      <fpage>379</fpage>
      <lpage>397</lpage>
      <uri content-type="arpha" xlink:href="http://openbiodiv.net/4886CECE-99B9-5857-9FD3-3B959B27D8FE">4886CECE-99B9-5857-9FD3-3B959B27D8FE</uri>
      <uri content-type="zoobank" xlink:href="https://zoobank.org/017B92A7-8B2E-4C15-BA60-DEE96191DAD7">017B92A7-8B2E-4C15-BA60-DEE96191DAD7</uri>
      <history>
        <date date-type="received">
          <day>14</day>
          <month>05</month>
          <year>2026</year>
        </date>
        <date date-type="accepted">
          <day>08</day>
          <month>07</month>
          <year>2026</year>
        </date>
      </history>
      <permissions>
        <copyright-statement>Sami Mili, Rym Ennouri, Siwar Agrebi, Safa Bejaoui, Maissa M. Morsi, Manel Ben Ali, Amor Hedfi</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>
      <self-uri content-type="zoobank" xlink:type="simple">https://zoobank.org/017B92A7-8B2E-4C15-BA60-DEE96191DAD7</self-uri>
      <abstract>
        <label>Abstract</label>
        <p>Small tunas are economically important for Mediterranean fisheries. Yet they remain poorly assessed due to data limitations. This study provides the first quantitative stock assessment of little tunny, <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">Euthynnus</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> (Rafinesque, 1810), and bullet tuna, <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">Auxis</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> (Risso, 1810), in the central Mediterranean Sea (GSA 13) using two complementary data-limited methods. The Length-Based Bayesian Biomass (<abbrev xlink:title="Length-Based Bayesian Biomass">LBB</abbrev>) method was applied to length-frequency data collected in 2022 (408 <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> and 508 <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic>), and the CMSY++ method was applied to the official landings time series from 1996 to 2022.</p>
        <p>The results reveal contrasting stock statuses. <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">Auxis</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> is critically overfished, with current biomass at only 8% of unexploited levels (<italic>B</italic>/<italic>B</italic><sub>0</sub> = 0.08) and extremely high fishing mortality (<italic>F</italic>/<italic>M</italic> = 15). CMSY++ confirmed overfishing (<italic>B</italic>/<italic>B</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub> = 0.52; <italic>F</italic>/<italic>F</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub> = 1.30). Length structure analysis revealed that 42% of the catch were immature juveniles (32.6 cm). In contrast, <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> is also overfished, albeit less severely (<italic>B</italic>/<italic>B</italic><sub>0</sub> = 0.25; <italic>F</italic>/<italic>M</italic> = 1.4). CMSY++ results (<italic>B</italic>/<italic>B</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub> = 0.75; <italic>F</italic>/<italic>F</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub> = 1.39) and a low proportion of juveniles (2%) suggest a healthier demographic structure, although large spawners (&gt;90 cm) are rare.</p>
        <p>Based on these findings, we recommend the following species-specific measures: for <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic>, increase the minimum conservation reference sizes (<abbrev xlink:title="minimum conservation reference sizes">MCRS</abbrev>) from 27 cm to the optimal 34 cm, and reduce fishing effort. For <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic>, prohibit the landing of specimens measuring more than 80 cm, and increase the <abbrev xlink:title="minimum conservation reference sizes">MCRS</abbrev> from 54 cm to 66 cm. This study demonstrates the feasibility of quantitatively assessing data-poor small tunas in the Mediterranean and provides essential baselines for their sustainable management.</p>
      </abstract>
      <kwd-group>
        <label>Keywords</label>
        <kwd>
          <italic>
            <tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">Auxis</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name>
          </italic>
        </kwd>
        <kwd>CMSY++</kwd>
        <kwd>data-limited methods</kwd>
        <kwd>
          <italic>
            <tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">Euthynnus</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name>
          </italic>
        </kwd>
        <kwd>GSA 13 (central Mediterranean)</kwd>
        <kwd>LBB</kwd>
        <kwd>stock status</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec sec-type="Introduction" id="sec1">
      <title>Introduction</title>
      <p>The fishing sector is a crucial source of nutrition, income, and livelihoods for hundreds of millions of people worldwide (<xref ref-type="bibr" rid="B8">Bejaoui et al. 2019</xref>). Global fish production has increased significantly, with per capita availability reaching a record high of 20.5 kg in 2018, up from less than 10 kg in the 1960s (<xref ref-type="bibr" rid="B24">FAO 2017</xref>). Projections suggest this trend will continue, with production rising from 171 million t (tonnes) in 2016 to 201 million t by 2030 (<xref ref-type="bibr" rid="B24">FAO 2017</xref>). However, the intensive use of aquatic resources has shown that, although they are renewable, they are not unlimited and require sustainable management to ensure their long-term contribution to global well-being (<xref ref-type="bibr" rid="B37">Harris and Roach 2021</xref>; <xref ref-type="bibr" rid="B59">Mili et al. 2023</xref>). This issue is especially urgent given the overcapacity and declining stock levels in many regions, emphasizing the need for better fisheries management, international cooperation, and advanced technologies (<xref ref-type="bibr" rid="B25">FAO 2024</xref>).</p>
      <p>The management of transboundary fish stocks in the Mediterranean Sea is a complex issue, as the basin represents a critical biodiversity hotspot hosting about 7%–10% of the world’s marine species despite covering less than 1% of the global ocean surface (<xref ref-type="bibr" rid="B51">Klaoudatos and Theocharis 2026</xref>). This is particularly true of migratory species such as tuna, which require a regional approach to assessment. To facilitate management, the General Fisheries Commission for the Mediterranean (<abbrev xlink:title="General Fisheries Commission for the Mediterranean">GFCM</abbrev>) has established geographical sub-areas (<abbrev xlink:title="geographical sub-areas">GSAs</abbrev>, <xref ref-type="bibr" rid="B68">Pons et al. 2019a</xref>). GSA 13, which comprises Malta, the Lampedusa and Linosa islands, is a key fishing zone in the central Mediterranean bordering the Tunisian coast. The Tunisian fleet operating in this sub-area includes purse seiners, trawlers, and small-scale vessels. In 2010, the national fleet comprised 11 082 vessels, of which 10 388 (94%) were small-scale boats, 321 were purse seiners, and 373 were trawlers (<xref ref-type="bibr" rid="B19">DGPA 2023</xref>). Within GSA 13, the fleet includes 215 vessels, with 171 purse seiners (10 of 6–12 m and 152 &gt;12 m), 72 trawlers, and numerous polyvalent small-scale vessels. Tuna purse seiners typically measure between 15 and 38 m in length, with engine power ranging from 74 to 670 kw (<xref ref-type="bibr" rid="B19">DGPA 2023</xref>). Small tunas are primarily caught using purse seines, with additional gears including gillnets, traps (madragues), and handlines. The fishing season is highly seasonal, with peaks in landings recorded in May and June (<xref ref-type="bibr" rid="B92">Zarrad and Missaoui 2016</xref>). Tunisia, with its significant maritime domain and long fishing tradition, has recognized the potential of its pelagic resources, particularly large pelagics (<xref ref-type="bibr" rid="B60">Mili et al. 2025</xref>). These resources were considered under-exploited in the early 2000s (<xref ref-type="bibr" rid="B33">Gaamour et al. 2005</xref>; <xref ref-type="bibr" rid="B35">Hajjej et al. 2011</xref>; Hattour unpublished<sup><xref ref-type="fn" rid="en1">1</xref></sup>). This situation changed after the implementation of the National Strategy for the Development of Small-Scale Pelagic Fisheries (<abbrev xlink:title="National Strategy for the Development of Small-Scale Pelagic Fisheries">NSDSPF</abbrev>) (<xref ref-type="bibr" rid="B60">Mili et al. 2025</xref>). The family <tp:taxon-name><tp:taxon-name-part taxon-name-part-type="family" reg="Scombridae">Scombridae</tp:taxon-name-part></tp:taxon-name>, which includes tunas and bonitos, is of particular importance due to its high commercial and nutritional value (<xref ref-type="bibr" rid="B38">Hattour 2009</xref>; <xref ref-type="bibr" rid="B49">Karunarathna and Attygalle 2009</xref>). However, these species are characterized by their pelagic and migratory nature, which makes their stock assessment challenging at local and national scales, a limitation that is commonly acknowledged in the literature (<xref ref-type="bibr" rid="B32">Fromentin and Lopuszanski 2014</xref>; <xref ref-type="bibr" rid="B16">Dalaut et al. 2025</xref>; <xref ref-type="bibr" rid="B51">Klaoudatos and Theocharis 2026</xref>). To address this challenge, the presently reported study employs two complementary data-limited methods, <abbrev xlink:title="Length-Based Bayesian Biomass">LBB</abbrev> and CMSY++, that are specifically designed for data-poor and transboundary stocks (<xref ref-type="bibr" rid="B28">Froese et al. 2017</xref>; <xref ref-type="bibr" rid="B31">Froese et al. 2023</xref>; <xref ref-type="bibr" rid="B91">Winker et al. 2018</xref>). These methods do not require detailed migration data or stock boundary definitions; instead, they rely on length-frequency data (<abbrev xlink:title="Length-Based Bayesian Biomass">LBB</abbrev>) and catch time series (CMSY++) to estimate stock status indicators, providing robust baselines for regional assessments.</p>
      <p>This study focuses on two small tuna species of significant commercial interest in the central Mediterranean: the little tunny, <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">Euthynnus</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> (Rafinesque, 1810), and the bullet tuna, <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">Auxis</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> (Risso, 1810). In Tunisia, small tuna landings averaged approximately 2813 t between 1995 and 2010, with <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> accounting for 38.9% and <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> for 27.1% of the landings (<xref ref-type="bibr" rid="B92">Zarrad and Missaoui 2016</xref>). <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">Euthynnus</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> is a neritic, epipelagic predator found in the Atlantic and Mediterranean (<xref ref-type="bibr" rid="B79">Sant’Ana et al. 2021a</xref>). In the Mediterranean, it spawns mainly in summer (<xref ref-type="bibr" rid="B35">Hajjej et al. 2011</xref>) and has an opportunistic diet (<xref ref-type="bibr" rid="B23">Falautano et al. 2007</xref>). Although some biological studies exist (<xref ref-type="bibr" rid="B34">Hajjej et al. 2010</xref>; <xref ref-type="bibr" rid="B21">El-Haweet et al. 2013</xref>; <xref ref-type="bibr" rid="B62">Neghli et al. 2019</xref>), quantitative stock assessments are scarce and sometimes contradictory. Recent efforts to standardize maturity staging for this species across the Mediterranean highlight the ongoing need for consistent biological data to support robust assessments (<xref ref-type="bibr" rid="B78">Saber et al. 2019</xref>). <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">Auxis</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> is one of the smallest tunas (<xref ref-type="bibr" rid="B13">Cayré et al. 1993</xref>; <xref ref-type="bibr" rid="B80">Sant’Ana et al. 2021b</xref>) and exhibits more coastal behavior and less migration than other tunas (<xref ref-type="bibr" rid="B57">Maguire et al. 2006</xref>). Our knowledge of this species biology is limited, with few studies conducted in the Mediterranean (<xref ref-type="bibr" rid="B17">De la Serna et al. 2005</xref>; <xref ref-type="bibr" rid="B56">Macías et al. 2008</xref>) and in Tunisia (<xref ref-type="bibr" rid="B38">Hattour 2009</xref>; <xref ref-type="bibr" rid="B4">Allaya et al. 2015</xref>). Furthermore, genetic studies have revealed a complex population structure in the western Mediterranean, with differentiation between Iberian and North African locations. This adds another layer of complexity to stock assessment and management (<xref ref-type="bibr" rid="B5">Allaya et al. 2017</xref>; <xref ref-type="bibr" rid="B64">Ollé-Vilanova et al. 2022</xref>). There are also no specific <abbrev xlink:title="International Commission for the Conservation of Atlantic Tunas">ICCAT</abbrev> management measures in place, and the lack of adequate data and stock assessments for these small tunas remains a recurring issue (<xref ref-type="bibr" rid="B53">Lucena-Frédou et al. 2017</xref>, <xref ref-type="bibr" rid="B54">2021</xref>; <xref ref-type="bibr" rid="B42">ICCAT 2023</xref>). At the international level, small tunas fall under the mandate of <abbrev xlink:title="International Commission for the Conservation of Atlantic Tunas">ICCAT</abbrev>, although no specific management measures are currently in place for <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> and <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> (<xref ref-type="bibr" rid="B42">ICCAT 2023</xref>). The <abbrev xlink:title="General Fisheries Commission for the Mediterranean">GFCM</abbrev> has established multiannual management plans for demersal species in the Strait of Sicily (<abbrev xlink:title="geographical sub-areas">GSAs</abbrev> 12–16), but these do not directly address small tunas. At the national level, Tunisian fisheries are governed by Law No. 94–13 on fishing activities. However, according to Tunisian legislation (<xref ref-type="bibr" rid="B46">JORT 1995</xref>), there are no specific regulations for small tunas regarding minimum landing sizes or catch limits. This regulatory gap underscores the urgency of the presently reported study to provide scientific baselines for future management.</p>
      <p>Assessing the stock of these migratory species is difficult because of their extensive distribution and the multinational fisheries that exploit them. Traditional assessment methods range from global models using catch and effort data (<xref ref-type="bibr" rid="B12">Cadima 2002</xref>) to analytical models that include biological factors like growth and mortality (<xref ref-type="bibr" rid="B10">Beverton and Holt 1957</xref>; <xref ref-type="bibr" rid="B73">Ricker 1975</xref>). The Mediterranean Sea features small-scale, multi-species fisheries and limited long-term monitoring programs, leading to a persistent data-poor situation that hampers the use of standard assessment techniques such as Virtual Population Analysis, statistical catch-at-age models, and surplus production models (<xref ref-type="bibr" rid="B51">Klaoudatos and Theocharis 2026</xref>). Therefore, data-limited methods are becoming increasingly important for stock assessments when biological data series are unavailable (<xref ref-type="bibr" rid="B3">Al-Mamun et al. 2022</xref>; <xref ref-type="bibr" rid="B81">Sarr et al. 2023</xref>) and have been successfully used for various Mediterranean species (<xref ref-type="bibr" rid="B50">Kılıç et al. 2023</xref>; <xref ref-type="bibr" rid="B61">Mili et al. 2026</xref>).</p>
      <p>The presently reported study aims to evaluate the population properties and stock status of <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> and <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> in the central Mediterranean (GSA 13) using two complementary, data-limited approaches. The CMSY++ model (<xref ref-type="bibr" rid="B30">Froese et al. 2021</xref>) is a Bayesian state-space method that estimates fisheries reference points (<abbrev xlink:title="maximum sustainable yield">MSY</abbrev>, <italic>F</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub>, <italic>B</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub>) and stock status (<italic>B</italic>/<italic>B</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub>) from catch time series. The Length-Based Bayesian Biomass (<abbrev xlink:title="Length-Based Bayesian Biomass">LBB</abbrev>) method (<xref ref-type="bibr" rid="B29">Froese et al. 2018</xref>; <xref ref-type="bibr" rid="B90">Wang et al. 2021</xref>) estimates stock status indicators and reference points using length-frequency data. By applying these robust, modern techniques to Tunisian fishery data for GSA 13, the study aims to provide valuable insights into the sustainability of exploiting these two key species and support the development of effective management strategies in the central Mediterranean. This study provides the first integrated stock assessment of these two small tuna species in the central Mediterranean using complementary data-limited methods.</p>
    </sec>
    <sec sec-type="materials|methods" id="sec2">
      <title>Material and methods</title>
      <p><bold>Study area and data collection</bold>. This study focused on Geographical Sub-Area 13 (GSA 13) of the central Mediterranean, as shown in Fig. <xref ref-type="fig" rid="F1">1</xref>. The port of Teboulba (<named-content content-type="dwc:verbatimCoordinates">35°39'40.6"N, 10°57'33.4"E</named-content>) was selected as it is of paramount importance as the main landing site for small tuna species in the region (<xref ref-type="bibr" rid="B9">Ben Salem and Franquesa 2005</xref>; <xref ref-type="bibr" rid="B38">Hattour 2009</xref>; <xref ref-type="bibr" rid="B92">Zarrad and Missaoui 2016</xref>). The harbor contributes with 15.43% to Tunisian marine fishery production and accounts for 71% of the total declared fishery production within GSA 13 (<xref ref-type="bibr" rid="B19">DGPA 2023</xref>), reflecting its status as the primary landing site for purse seine and small-scale fisheries in the region. The harbor is home to a fleet of 522 fishing vessels, including 74 purse seine vessels, and supports an estimated 2804 direct jobs, 1184 of which are in the purse seine sector (<xref ref-type="bibr" rid="B19">DGPA 2023</xref>). Previous studies have shown that over 33% of the total small tuna production across all Tunisian coasts is accounted for by landings at Teboulba Port (GSA 13), primarily due to offshore purse-seine activities (<xref ref-type="bibr" rid="B9">Ben Salem and Franquesa 2005</xref>; <xref ref-type="bibr" rid="B38">Hattour 2009</xref>; <xref ref-type="bibr" rid="B92">Zarrad and Missaoui 2016</xref>).</p>
      <fig id="F1">
        <object-id content-type="doi">10.3897/aiep.56.199776.figure1</object-id>
        <object-id content-type="arpha">787AC9C8-DB48-5289-BF20-FF8977B628A6</object-id>
        <label>Figure 1.</label>
        <caption>
          <p>Map of the central Mediterranean Sea (GSA, 13), northeastern Tunisian waters, showing the fishing location of <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">Euthynnus</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> and <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">Auxis</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> landed at Teboulba fishing harbor.</p>
        </caption>
        <graphic xlink:href="aiep-56-379-g001.jpg" id="oo_1747366.jpg">
          <uri content-type="original_file">https://binary.pensoft.net/fig/1747366</uri>
        </graphic>
      </fig>
      <p><bold>Fish sampling and data processing</bold>. Sampling was carried out from March to November 2022, coinciding with the peak landing period for these species. Specimens were collected directly from the commercial landings of purse seine vessels operating in GSA 13 at Teboulba harbor. A total of 48 surveys were conducted throughout the study period, targeting landings from multiple vessels to capture the variability in catch composition and size structure. The total number of measured individuals (916 specimens of <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">Euthynnus</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> and <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">Auxis</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic>) is consistent with sample sizes reported in similar data-limited stock assessment studies in the Mediterranean (<xref ref-type="bibr" rid="B18">Demirel et al. 2020</xref>; <xref ref-type="bibr" rid="B54">Lucena-Frédou et al. 2021</xref>; <xref ref-type="bibr" rid="B50">Kılıç et al. 2023</xref>; <xref ref-type="bibr" rid="B60">Mili et al. 2025</xref>).</p>
      <p>A total of 408 <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> and 508 <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> individuals were collected. Fork length (<abbrev xlink:title="Fork length">FL</abbrev>) was recorded for each specimen and is defined as the straight-line distance from the tip of the snout to the fork of the caudal fin (<xref ref-type="bibr" rid="B40">ICCAT 2016</xref>). Measurements were taken using a measuring tape for large specimens and an ichthyometer for smaller individuals, with a precision of ±1 cm. Measurements were taken at night during commercial landings to ensure specimen freshness.</p>
      <p><bold>Biological parameters</bold>. The length at first maturity (<italic>L</italic><sub>50</sub>) for each species was obtained from local studies conducted in Tunisian waters (GSA 13). For <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic>, <italic>L</italic><sub>50</sub> was set at 42.3 cm <abbrev xlink:title="Fork length">FL</abbrev> (<xref ref-type="bibr" rid="B34">Hajjej et al. 2010</xref>). For <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic>, no published values of <italic>L</italic><sub>50</sub> were available. These thresholds were applied to the length measurements to determine the proportion of immature individuals in the catches. Values from FishBase (<xref ref-type="bibr" rid="B27">Froese and Pauly 2025</xref>) indicate an <italic>L</italic><sub>50</sub> of 41.8 cm for <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> and 35 cm for <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic>, based on data from similar latitudes and ecosystems. Local estimates were prioritized to ensure the assessment reflected the specific biological characteristics of the stocks in GSA 13.</p>
      <p><bold>Catch data</bold>. Annual production data [kg] for <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> and <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> were obtained from landings recorded in the central Mediterranean (GSA 13) between 1996 and 2022. The dataset comprised 27 consecutive years of data for each species and was compiled from the official fishery statistics yearbooks of the Tunisian General Directorate of Fisheries and Aquaculture (<xref ref-type="bibr" rid="B19">DGPA 2023</xref>).</p>
      <p><bold>Statistical analyses</bold>. All statistical analyses were performed using R software (version 4.5.2, <xref ref-type="bibr" rid="B72">R Core Team 2025</xref>) within the RStudio integrated development environment (<xref ref-type="bibr" rid="B70">Posit team 2025</xref>). Figures were generated using the ggplot2 package in R. Descriptive statistics were calculated for both length-frequency and annual production data for each species. Normality was assessed using the Shapiro–Wilk test. The length distributions significantly deviated from normality for both species (<italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic>: <italic>p</italic> &lt; 0.05; <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic>: <italic>p</italic> &lt; 0.05). Consequently, the non-parametric Mann–Whitney U test was used to compare the length distributions between the two species, as it is specifically suited for comparing the central tendency (median) of two independent groups with non-normal distributions, which aligns with our objective of testing size differences between species.</p>
      <p>The Shapiro–Wilk test (<italic>W</italic>) confirmed normality for both species in the annual production time series (<italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic>: <italic>W</italic> = 0.95, <italic>p</italic> = 0.21; <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic>: <italic>W</italic> = 0.94, <italic>p</italic> = 0.12). Temporal trends were analyzed using linear regression to estimate the average annual change (kg · yr<sup>–1</sup>) and the strength of the linear relationship (Pearson’s). This analysis was complemented by the non-parametric Mann–Kendall trend test and Sen’s slope estimator to detect and quantify monotonic trends. Interannual variability was also assessed via the coefficient of variation and visual inspection of time-series plots.</p>
      <p><bold>Stock Assessment Methods</bold>. The stock assessment of <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> and <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> employed two complementary data-limited approaches, given the scarcity of comprehensive fishery data. The CMSY++ model uses catch time series, while the Length-Based Bayesian (<abbrev xlink:title="Length-Based Bayesian Biomass">LBB</abbrev>) model relies on length-frequency data. Both models are recognized as robust, low-input assessment methods (<xref ref-type="bibr" rid="B68">Pons et al. 2019a</xref>; <xref ref-type="bibr" rid="B69">Pons et al. 2019b</xref>; <xref ref-type="bibr" rid="B14">Chong et al. 2020</xref>; <xref ref-type="bibr" rid="B54">Lucena-Frédou et al. 2021</xref>).</p>
      <p><bold>CMSY++ model</bold>. CMSY++ is an advanced Bayesian state-space stock assessment method (<xref ref-type="bibr" rid="B31">Froese et al. 2023</xref>). It combines information on the stock’s productivity and exploitation history and can account for gaps and missing abundance data, which is its main advantage over other models (<xref ref-type="bibr" rid="B30">Froese et al. 2021</xref>; <xref ref-type="bibr" rid="B26">Ferragut-Perello et al. 2023</xref>).</p>
      <p>This method uses catch (weight) data and, optionally, abundance data together with a prior for resilience (<italic>r</italic>) and broad priors for the ratio of biomass to unfished biomass (<italic>B</italic>/<italic>K</italic>). Using catch data alone, it generates refined estimates of stock status for key fishery reference points, such as <abbrev xlink:title="maximum sustainable yield">MSY</abbrev>, <italic>F</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub>, and <italic>B</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub> (<xref ref-type="bibr" rid="B28">Froese et al. 2017</xref>; <xref ref-type="bibr" rid="B26">Ferragut-Perello et al. 2023</xref>). It provides assessments of the stock’s status, relative size (<italic>B</italic>/<italic>B</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub>) and the level of fishing pressure or exploitation (<italic>F</italic>/ <italic>F</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub>) at the beginning, an intermediate year, and the end of the time series, as described by <xref ref-type="bibr" rid="B30">Froese et al. (2021)</xref>. The ranges for resilience and depletion priors are detailed in Table <xref ref-type="table" rid="T1">1</xref>.</p>
      <table-wrap id="T1" position="float" orientation="portrait">
        <label>Table 1.</label>
        <caption>
          <p>Prior ranges for resilience (intrinsic growth rate, r) and depletion (relative biomass B/k) categories used in the CMSY++ model (<xref ref-type="bibr" rid="B28">Froese et al. 2017</xref>).<bold/></p>
        </caption>
        <table>
          <tbody>
            <tr>
              <th rowspan="1" colspan="1">
                <bold>Resilience/Intrinsic Growth Rate (<italic>r</italic>)</bold>
              </th>
              <th rowspan="1" colspan="1">
                <bold>Prior <italic>r</italic> range</bold>
              </th>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">High</td>
              <td rowspan="1" colspan="1">0.6–1.5</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Medium</td>
              <td rowspan="1" colspan="1">0.2–0.8</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Low</td>
              <td rowspan="1" colspan="1">0.05–0.5</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Very low</td>
              <td rowspan="1" colspan="1">0.015–0.1</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Depletion rate</td>
              <td rowspan="1" colspan="1">
                <bold>Prior relative biomass (<italic>B</italic>/<italic>k</italic>) range</bold>
              </td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Very strong depletion</td>
              <td rowspan="1" colspan="1">0.01–0.2</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Strong depletion</td>
              <td rowspan="1" colspan="1">0.01–0.4</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Medium depletion</td>
              <td rowspan="1" colspan="1">0.2–0.6</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Low depletion</td>
              <td rowspan="1" colspan="1">0.4–0.8</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Nearly unexploited</td>
              <td rowspan="1" colspan="1">0.75–1.0</td>
            </tr>
          </tbody>
        </table>
        <table-wrap-foot>
          <fn>
            <p><italic>r</italic>, the intrinsic replenishment rate (higher = higher resilience); <italic>B/k</italic>, current biomass relative to unfished biomass (lower = higher depletion). These ranges are standard prior distributions.</p>
          </fn>
        </table-wrap-foot>
      </table-wrap>
      <p>The CMSY++ method uses an annual time series of catch data. Prior knowledge of population resilience is required to estimate the parameters of the Schaefer surplus production model: the intrinsic population growth rate (<italic>r</italic>) and the environmental carrying capacity (<italic>K</italic>). The following equation [1] governs the basic biomass dynamics:</p>
      <p><mml:math id="M1"><mml:msub><mml:mi>B</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>t</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>B</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mi>r</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>–</mml:mo><mml:msub><mml:mi>B</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:msup><mml:mi>K</mml:mi><mml:mrow><mml:mo>–</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow><mml:mo>–</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mi>t</mml:mi></mml:msub></mml:math>	[1]</p>
      <p>Where <italic>B<sub>t</sub></italic> is the biomass at time t, <italic>B</italic><sub>(<italic>t</italic> + 1)</sub> is the biomass at time (t+1), <italic>r</italic> is the intrinsic population growth rate, <italic>K</italic> is the environmental carrying capacity, <italic>C<sub>t</sub></italic> is the catch at time t, <italic>t</italic> is the time [year]</p>
      <p>This method assumes that <italic>r</italic>, the initial relative biomass (<italic>B</italic><sub>0</sub>/<italic>K</italic>) and the final relative biomass (<italic>B</italic><sub>end</sub>/<italic>K</italic>), are known qualitatively (high, intermediate, or low). The value of <italic>K</italic> is constrained to vary between (maximum catch)/<italic>r</italic> and 4*(maximum catch)/<italic>r</italic> or between 2*(maximum catch)/<italic>r</italic> and 12*(maximum catch)/<italic>r</italic>, depending on the previous year’s biomass level.</p>
      <p>As CMSY++ is based on the Schaefer model, it assumes a symmetric production function. This means that the biomass producing the maximum sustainable yield (<abbrev xlink:title="maximum sustainable yield">MSY</abbrev>) is <italic>K</italic>/2, and <abbrev xlink:title="maximum sustainable yield">MSY</abbrev> equals <italic>rK</italic>/4.</p>
      <p>To account for reduced recruitment in severely depleted stocks, as predicted by standard stock-recruitment relationships (<xref ref-type="bibr" rid="B10">Beverton and Holt 1957</xref>; <xref ref-type="bibr" rid="B73">Ricker 1975</xref>; <xref ref-type="bibr" rid="B7">Barrowman and Myers 2000</xref>), a linear decrease in surplus production is incorporated when biomass falls below 0.25<italic>K</italic>, as described in Equation [2].</p>
      <p><mml:math id="M2"><mml:msub><mml:mi>B</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>t</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>B</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mn>4</mml:mn><mml:msub><mml:mi>B</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mrow><mml:mo>/</mml:mo></mml:mrow><mml:mi>K</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo>×</mml:mo><mml:mi>r</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>–</mml:mo><mml:msub><mml:mi>B</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mrow><mml:mo>/</mml:mo></mml:mrow><mml:mi>K</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo>–</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mspace linebreak="newline"/></mml:math>	[2]</p>
      <p>for <italic>B<sub>t</sub></italic>/<italic>K</italic> &lt; 0.25</p>
      <p>The term (4<italic>B<sub>t</sub></italic>/<italic>K</italic>) assumes a linear decline in recruitment below half the biomass capable of producing <abbrev xlink:title="maximum sustainable yield">MSY</abbrev> (<xref ref-type="bibr" rid="B82">Schnute and Kronlund 1996</xref>).</p>
      <p>For the CMSY++ analysis, prior ranges for the intrinsic population growth rate (<italic>r</italic>) were defined according to species resilience, in line with the classification of <xref ref-type="bibr" rid="B28">Froese et al. (2017)</xref>. Both species were assigned a medium resilience prior (<italic>r</italic>: 0.2–0.8). The CMSY++ algorithm automatically derived prior ranges for carrying capacity (<italic>k</italic>) from the catch time series using the relationship between maximum catch and <italic>r</italic> (<xref ref-type="bibr" rid="B28">Froese et al. 2017</xref>, <xref ref-type="bibr" rid="B31">2023</xref>). The model then identified viable <italic>r</italic>–<italic>k</italic> pairs through an iterative Monte Carlo approach, selecting the best estimates based on their fit to the catch data. All analyses were performed using the latest version of the CMSY++ R package (<xref ref-type="bibr" rid="B31">Froese et al. 2023</xref>), which offers enhancements such as parallel processing for quicker execution and improved management outputs, including Kobe plots.</p>
      <p><bold><abbrev xlink:title="Length-Based Bayesian Biomass">LBB</abbrev> model</bold>. The Length-Based Bayesian (<abbrev xlink:title="Length-Based Bayesian Biomass">LBB</abbrev>) model, developed by <xref ref-type="bibr" rid="B29">Froese et al. (2018)</xref>, is a method used to assess the exploitation status of fisheries with limited data. It is based on single or multi-year length-frequency (LF) data. It is suitable for species that grow continuously throughout their lives, including many economically important fish (<xref ref-type="bibr" rid="B3">Al-Mamun et al. 2022</xref>). The <abbrev xlink:title="Length-Based Bayesian Biomass">LBB</abbrev> model replaces absolute biomass and age with their relative values (<xref ref-type="bibr" rid="B29">Froese et al. 2018</xref>).</p>
      <p>LF data can be used to estimate the following using standard fisheries equations: asymptotic length (<italic>L<sub>∞</sub></italic>); length at first capture (<italic>L</italic><sub>C</sub>); and fishing mortality (<italic>F</italic>) relative to each other. These calculations provide important metrics, such as relative natural mortality (<italic>M</italic>/<italic>K</italic>), fishing mortality relative to natural mortality (<italic>F</italic>/<italic>M</italic>), exploited biomass relative to unexploited biomass (<italic>B</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub>/<italic>B</italic><sub>0</sub>), and relative stock size (<italic>B</italic>/<italic>B</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub>). Additional parameters such as <italic>M</italic>/<italic>K</italic>, <italic>L</italic><sub>∞</sub>, and <italic>L</italic><sub>50</sub> can be included for greater accuracy, although <abbrev xlink:title="Length-Based Bayesian Biomass">LBB</abbrev> primarily relies on LF data (<xref ref-type="bibr" rid="B3">Al-Mamun et al. 2022</xref>).</p>
      <p>These estimates were used to determine the exploitation status of the <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> and <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> fisheries. A stock is considered healthy if <italic>B</italic>/<italic>B</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub> &gt; 1, slightly overfished if 0.8 ≤ <italic>B</italic>/<italic>B</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub> ≤ 1, overfished if 0.5 ≤ <italic>B</italic>/<italic>B</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub> ≤ 0.8, severely overfished if 0.2 ≤ <italic>B</italic>/<italic>B</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub> ≤ 0.5, and collapsed if <italic>B</italic>/<italic>B</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub> ≤ 0.2 (<xref ref-type="bibr" rid="B65">Palomares et al. 2018</xref>). An <italic>F</italic>/<italic>M</italic> &gt; 1 indicates an overfished stock. In addition, the <italic>L</italic><sub>mean</sub><italic>/L</italic><sub>opt</sub> and <italic>L</italic><sub>C</sub><italic>/L</italic><sub>Copt</sub> ratios were estimated. Values lower than one (&lt;1) indicate growth overfishing, reflecting a truncated length structure and the capture of undersized individuals. A ratio of 95th percentile length to asymptotic length (<italic>L</italic><sub>95th</sub><italic>/L</italic><sub>∞</sub>) close to unity (&gt;0.9) indicates the presence of large fish species (<xref ref-type="bibr" rid="B29">Froese et al. 2018</xref>).</p>
      <p>The <abbrev xlink:title="Length-Based Bayesian Biomass">LBB</abbrev> method operates on LF data from catches. It is based on the assumptions that recruitment remains constant over time and that growth follows the von Bertalanffy growth function (<abbrev xlink:title="von Bertalanffy growth function">VBGF</abbrev>, <xref ref-type="bibr" rid="B89">von Bertalanffy 1938</xref>). This enables the analysis of the descending right-hand slope of the LF data (<xref ref-type="bibr" rid="B90">Wang et al. 2021</xref>). The model estimates the length at first capture (<italic>L</italic><sub>C</sub>) that would maximize yield, as well as the ratios of natural mortality to growth rate (<italic>M</italic>/<italic>K</italic>) and of fishing mortality to growth rate (<italic>F</italic>/<italic>K</italic>). The required biological parameters, including the asymptotic length (<italic>L</italic><sub>∞</sub>), were obtained from published studies (<xref ref-type="bibr" rid="B35">Hajjej et al. 2011</xref>) and FishBase (<xref ref-type="bibr" rid="B27">Froese and Pauly 2025</xref>), providing independent priors for the <abbrev xlink:title="Length-Based Bayesian Biomass">LBB</abbrev> analysis.</p>
      <p>In the <abbrev xlink:title="Length-Based Bayesian Biomass">LBB</abbrev> model, length growth is assumed to follow the <abbrev xlink:title="von Bertalanffy growth function">VBGF</abbrev> (3), as described by <xref ref-type="bibr" rid="B10">Beverton and Holt (1957)</xref> and expressed in Equation [3]:</p>
      <p><mml:math id="M3"><mml:msub><mml:mi>L</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>L</mml:mi><mml:mrow><mml:mi mathvariant="normal">∞</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>–</mml:mo><mml:msup><mml:mrow><mml:mi mathvariant="normal">e</mml:mi></mml:mrow><mml:mrow><mml:mo>∧</mml:mo></mml:mrow></mml:msup><mml:mrow><mml:mo>(</mml:mo><mml:mo>–</mml:mo><mml:mi>K</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>–</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mo fence="true" stretchy="true" symmetric="true"/></mml:mrow></mml:math>	[3]</p>
      <p><italic>L<sub>t</sub></italic> is the length at age <italic>t</italic>, <italic>L</italic><sub>∞</sub> is the asymptotic length, <italic>K</italic> is the growth coefficient, and <italic>t</italic><sub>0</sub> is the theoretical age at zero length (<xref ref-type="bibr" rid="B29">Froese et al. 2018</xref>).</p>
      <p>For fully selected fish, the number of survivors at length <italic>L</italic> (<italic>n<sub>L</sub></italic>) is expressed as follows in Equation [4]:</p>
      <p><mml:math id="M4"><mml:msub><mml:mi>n</mml:mi><mml:mi>L</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>n</mml:mi><mml:mrow><mml:mi>L</mml:mi><mml:mtext> start </mml:mtext></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:msup><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>L</mml:mi><mml:mrow><mml:mi mathvariant="normal">∞</mml:mi></mml:mrow></mml:msub><mml:mo>–</mml:mo><mml:mi>L</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mo>/</mml:mo></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>L</mml:mi><mml:mrow><mml:mi mathvariant="normal">∞</mml:mi></mml:mrow></mml:msub><mml:mo>–</mml:mo><mml:msub><mml:mi>L</mml:mi><mml:mrow><mml:mtext>start </mml:mtext></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mo>∧</mml:mo></mml:mrow></mml:msup><mml:mo stretchy="false">(</mml:mo><mml:mi>Z</mml:mi><mml:mrow><mml:mo>/</mml:mo></mml:mrow><mml:mi>K</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>	[4]</p>
      <p>where <italic>Z = F + M</italic> is the total mortality rate. The <abbrev xlink:title="Length-Based Bayesian Biomass">LBB</abbrev> model uses length-frequency data to estimate the ratios <italic>F/K</italic> and <italic>M/K</italic>, thus providing the relative fishing mortality <italic>F/M</italic>. Absolute <italic>M</italic> values for <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> were obtained from <xref ref-type="bibr" rid="B69">Pons et al. (2019b)</xref>, whereas those for <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> were based on scenarios in the literature. Absolute <italic>F</italic> values were then derived using the formula [5]</p>
      <p><mml:math id="M5"><mml:mi>F</mml:mi><mml:mo>=</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:mi>F</mml:mi><mml:mrow><mml:mo>/</mml:mo></mml:mrow><mml:mi>M</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo>×</mml:mo><mml:mi>M</mml:mi></mml:math>	[5]</p>
      <p>The selectivity of the fishing gear (purse seine in this study) is described by a sigmoid curve in Equation [6]:</p>
      <p><mml:math id="M6"><mml:msub><mml:mi>S</mml:mi><mml:mi>L</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mrow><mml:mo>/</mml:mo></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>+</mml:mo><mml:msup><mml:mrow><mml:mi mathvariant="normal">e</mml:mi></mml:mrow><mml:mrow><mml:mo>∧</mml:mo></mml:mrow></mml:msup><mml:mrow><mml:mo>(</mml:mo><mml:mo>–</mml:mo><mml:mi>α</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>L</mml:mi><mml:mo>–</mml:mo><mml:msub><mml:mi>L</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math>	[6]</p>
      <p>where <italic>S<sub>L</sub></italic> is the fraction retained at length <italic>L</italic>, and <italic>α</italic> describes the steepness of the selection curve (<xref ref-type="bibr" rid="B29">Froese et al. 2018</xref>).</p>
      <p>The parameters of the selection curve, <italic>L</italic><sub>C</sub>, <italic>α</italic>, <italic>M</italic>/<italic>K</italic>, and <italic>F</italic>/<italic>K</italic>, are estimated simultaneously by applying the following equations [7] and [8]:</p>
      <p>
        <mml:math id="M7">
          <mml:mi>N</mml:mi>
          <mml:mrow>
            <mml:mo>(</mml:mo>
            <mml:msub>
              <mml:mi>L</mml:mi>
              <mml:mi>i</mml:mi>
            </mml:msub>
            <mml:mo>)</mml:mo>
          </mml:mrow>
          <mml:mo>=</mml:mo>
          <mml:mi>N</mml:mi>
          <mml:mrow>
            <mml:mo>(</mml:mo>
            <mml:msub>
              <mml:mi>L</mml:mi>
              <mml:mrow>
                <mml:mi>i</mml:mi>
                <mml:mo>−</mml:mo>
                <mml:mn>1</mml:mn>
              </mml:mrow>
            </mml:msub>
            <mml:mo>)</mml:mo>
          </mml:mrow>
          <mml:mo>×</mml:mo>
          <mml:mrow>
            <mml:mo>(</mml:mo>
            <mml:mrow>
              <mml:mo>(</mml:mo>
              <mml:msub>
                <mml:mi>L</mml:mi>
                <mml:mrow>
                  <mml:mi mathvariant="normal">∞</mml:mi>
                </mml:mrow>
              </mml:msub>
              <mml:mo>−</mml:mo>
              <mml:msub>
                <mml:mi>L</mml:mi>
                <mml:mi>i</mml:mi>
              </mml:msub>
              <mml:mo>)</mml:mo>
            </mml:mrow>
            <mml:mrow>
              <mml:mo>/</mml:mo>
            </mml:mrow>
            <mml:mo fence="true" stretchy="true" symmetric="true"/>
          </mml:mrow>
        </mml:math>
      </p>
      <p><mml:math id="M8"><mml:msup><mml:mrow><mml:mo fence="true" stretchy="true" symmetric="true"/><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>L</mml:mi><mml:mrow><mml:mi mathvariant="normal">∞</mml:mi></mml:mrow></mml:msub><mml:mo>−</mml:mo><mml:msub><mml:mi>L</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mo>∧</mml:mo></mml:mrow></mml:msup><mml:mo stretchy="false">(</mml:mo><mml:mi>M</mml:mi><mml:mrow><mml:mo>/</mml:mo></mml:mrow><mml:mi>K</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo>×</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mi>F</mml:mi><mml:mrow><mml:mo>/</mml:mo></mml:mrow><mml:mi>K</mml:mi><mml:mo>×</mml:mo><mml:mi>S</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>L</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math>	[7]</p>
      <p><mml:math id="M9"><mml:mi>C</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>L</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mo>=</mml:mo><mml:mrow><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>L</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mo>×</mml:mo><mml:mi>S</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>L</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math>	[8]</p>
      <p>where <italic>C</italic> refers to the number of individuals vulnerable to the gear, N(<italic>L<sub>i</sub></italic>) refer to the number of survivors at length <italic>i</italic>.</p>
      <p>Given estimates of <italic>L<sub>∞</sub></italic> and <italic>M</italic>/<italic>K</italic>, the length at which cohort biomass is maximized (<italic>L</italic><sub>opt</sub>) is calculated as follows using equation [9]:</p>
      <p><mml:math id="M10"><mml:msub><mml:mi>L</mml:mi><mml:mrow><mml:mtext>opt </mml:mtext></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>L</mml:mi><mml:mrow><mml:mi mathvariant="normal">∞</mml:mi></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:mn>3</mml:mn><mml:mrow><mml:mo>/</mml:mo></mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mn>3</mml:mn><mml:mo>+</mml:mo><mml:mi>M</mml:mi><mml:mrow><mml:mo>/</mml:mo></mml:mrow><mml:mi>K</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo stretchy="false">)</mml:mo></mml:math>	[9]</p>
      <p>The optimal length at first capture (<italic>L</italic><sub>Copt</sub>) can then be derived based on the fishing pressure (<italic>F</italic>/<italic>M</italic>) using equation [10]:</p>
      <p><mml:math id="M11"><mml:msub><mml:mi>L</mml:mi><mml:mrow><mml:mtext>Copt </mml:mtext></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>L</mml:mi><mml:mrow><mml:mi mathvariant="normal">∞</mml:mi></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mn>3</mml:mn><mml:mi>F</mml:mi><mml:mrow><mml:mo>/</mml:mo></mml:mrow><mml:mi>M</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mrow><mml:mo>/</mml:mo></mml:mrow><mml:mo stretchy="false">[</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:mn>1</mml:mn><mml:mo>+</mml:mo><mml:mi>F</mml:mi><mml:mrow><mml:mo>/</mml:mo></mml:mrow><mml:mi>M</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:mn>3</mml:mn><mml:mo>+</mml:mo><mml:mi>M</mml:mi><mml:mrow><mml:mo>/</mml:mo></mml:mrow><mml:mi>K</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo stretchy="false">]</mml:mo></mml:math>	[10]</p>
      <p>The relative biomass (<italic>B</italic>/<italic>B</italic><sub>0</sub>) and the estimated <italic>L</italic><sub>C</sub> from <abbrev xlink:title="Length-Based Bayesian Biomass">LBB</abbrev> provide direct management indicators. If <italic>B</italic>/<italic>B</italic><sub>0</sub> is less than <italic>B</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub>/<italic>B</italic><sub>0</sub>, catches should be reduced. Conversely, if <italic>L</italic><sub>C</sub> is less than <italic>L</italic><sub>Copt</sub>, fisheries should target larger individuals (<xref ref-type="bibr" rid="B29">Froese et al. 2018</xref>). This method was implemented using the Bayesian Gibbs sampler JAGS (<xref ref-type="bibr" rid="B67">Plummer 2003</xref>), run in R (<xref ref-type="bibr" rid="B72">R Core Team 2025</xref>) to fit the observed length proportions. The analysis was performed in R using the LBB_33a.R script (<xref ref-type="bibr" rid="B29">Froese et al. 2018</xref>) with the default settings from the TropFishR/bsmart package (<xref ref-type="bibr" rid="B58">Mildenberger et al. 2017</xref>). The <abbrev xlink:title="Length-Based Bayesian Biomass">LBB</abbrev> results can also provide priors for the current biomass in the <abbrev xlink:title="maximum sustainable yield">MSY</abbrev> analysis (<xref ref-type="bibr" rid="B28">Froese et al. 2017</xref>).</p>
    </sec>
    <sec sec-type="Results" id="sec3">
      <title>Results</title>
      <p><bold>Annual production</bold>. Figure <xref ref-type="fig" rid="F2">2</xref> shows the annual landings of both species (<italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">Euthynnus.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> and <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">Auxis</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic>) from 1996 to 2022. The time series reveal markedly different production scales and variability patterns between the two species.</p>
      <fig id="F2">
        <object-id content-type="doi">10.3897/aiep.56.199776.figure2</object-id>
        <object-id content-type="arpha">034E963A-4554-5ED4-920D-D01BBDF5D29F</object-id>
        <label>Figure 2.</label>
        <caption>
          <p>Annual production of <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">Euthynnus</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> and <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">Auxis</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> in northeastern waters of Tunisia (GSA 13) between 1996 and 2022.</p>
        </caption>
        <graphic xlink:href="aiep-56-379-g002.jpg" id="oo_1747367.jpg">
          <uri content-type="original_file">https://binary.pensoft.net/fig/1747367</uri>
        </graphic>
      </fig>
      <p>For <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> (Fig. <xref ref-type="fig" rid="F2">2</xref>, Table <xref ref-type="table" rid="T2">2</xref>), annual production averaged 963 t (median: 960 t), with a standard deviation of 433 t and a coefficient of variation (<abbrev xlink:title="coefficient of variation">CV</abbrev>) of 45.0% (Table <xref ref-type="table" rid="T2">2</xref>). Landings fluctuated considerably over the study period, ranging from 109 t in 2010 and a peak of 2142 t in 2017. Relatively lower catches occurred in the late 1990s, followed by an increase with peaks in 2000 (1453 t), 2008 (1246 t), and, notably, in 2016–2017 (1592 t and 2142 t, respectively). A period of low catches occurred between 2010 and 2012 after which the stock recovered strongly. Linear regression suggested a modest positive trend of 19.5 t · yr<sup>–1</sup>, but this was not statistically significant (<italic>R</italic><sup>2</sup> = 0.112, <italic>p</italic> &gt; 0.05). The Mann–Kendall test confirmed the absence of a significant monotonic trend (<italic>τ</italic> = 0.189, <italic>p</italic> = 0.207), with Sen’s slope estimating a median annual change of 9.2 t · yr<sup>–1</sup> (95% <abbrev xlink:title="confidence interval">CI</abbrev>: –12.4 to 32.8 t · yr<sup>–1</sup>).</p>
      <table-wrap id="T2" position="float" orientation="portrait">
        <label>Table 2.</label>
        <caption>
          <p>Summary statistics of annual landings [t] for <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">Euthynnus</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> and <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">Auxis</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> in northeastern waters of Tunisia (GSA 13) between 1996 and 2022.</p>
        </caption>
        <table>
          <tbody>
            <tr>
              <th rowspan="1" colspan="1">
                <bold>Species</bold>
              </th>
              <th rowspan="1" colspan="1">
                <bold>Mean</bold>
              </th>
              <th rowspan="1" colspan="1">
                <bold>Median</bold>
              </th>
              <th rowspan="1" colspan="1">
                <bold>
                  <abbrev xlink:title="standard deviation">SD</abbrev>
                </bold>
              </th>
              <th rowspan="1" colspan="1">
                <bold><abbrev xlink:title="coefficient of variation">CV</abbrev> [%]</bold>
              </th>
              <th rowspan="1" colspan="1">
                <bold>Min</bold>
              </th>
              <th rowspan="1" colspan="1">
                <bold>Max</bold>
              </th>
              <th rowspan="1" colspan="1">
                <bold>Sen’s slope [t · yr<sup>–1</sup>]</bold>
              </th>
              <th rowspan="1" colspan="1">
                <bold>95% <abbrev xlink:title="confidence interval">CI</abbrev></bold>
              </th>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">
                <bold>
                  <italic>
                    <tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name>
                  </italic>
                </bold>
              </td>
              <td rowspan="1" colspan="1">963</td>
              <td rowspan="1" colspan="1">960</td>
              <td rowspan="1" colspan="1">433</td>
              <td rowspan="1" colspan="1">45.0</td>
              <td rowspan="1" colspan="1">109</td>
              <td rowspan="1" colspan="1">2142</td>
              <td rowspan="1" colspan="1">9.2</td>
              <td rowspan="1" colspan="1">–12.4 to 32.8</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">
                <bold>
                  <italic>
                    <tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name>
                  </italic>
                </bold>
              </td>
              <td rowspan="1" colspan="1">414</td>
              <td rowspan="1" colspan="1">366</td>
              <td rowspan="1" colspan="1">320</td>
              <td rowspan="1" colspan="1">77.3</td>
              <td rowspan="1" colspan="1">2</td>
              <td rowspan="1" colspan="1">989</td>
              <td rowspan="1" colspan="1">8.0</td>
              <td rowspan="1" colspan="1">–6.8 to 21.6</td>
            </tr>
          </tbody>
        </table>
        <table-wrap-foot>
          <fn>
            <p><abbrev xlink:title="coefficient of variation">CV</abbrev>, coefficient of variation; <abbrev xlink:title="standard deviation">SD</abbrev>, standard deviation; <abbrev xlink:title="confidence interval">CI</abbrev>, confidence interval; <italic>n</italic> = 27 years for each species.</p>
          </fn>
        </table-wrap-foot>
      </table-wrap>
      <p>For <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> (Fig. <xref ref-type="fig" rid="F2">2</xref>, Table <xref ref-type="table" rid="T2">2</xref>), production was lower and more variable, averaging 414 t with a coefficient of variation of 77.3% (Table <xref ref-type="table" rid="T2">2</xref>). Landings ranged from 2 t in 1996 to a historic maximum of 989 t in 2003. The most striking feature of this series is the peak observed from 2001 to 2003, with landings reaching 630 t, 933 t, and 989 t, respectively. This was followed by a collapse in 2004–2005, with landings reaching just 176 t and 2 t. Subsequent years showed a moderate recovery, with secondary peaks in 2007 (842 t), 2015 (760 t), and 2017 (910 t); however, these remained below the levels observed in the early 2000s. The series also includes numerous years with very low landings, such as the period from 1996 to 2000 (14–93 t) and in 2009–2010 (61–88 t). The Mann–Kendall test confirmed the absence of a significant monotonic trend (<italic>τ</italic> = 0.035, <italic>p</italic> = 0.082), with Sen’s slope estimating a median annual change of 8.0 t · yr<sup>–1</sup> (95% <abbrev xlink:title="confidence interval">CI</abbrev>: –6.8 to 21.6 t · yr<sup>–1</sup>).</p>
      <p>Overall, <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> had an average landing rate approximately 2.5 times higher than <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> and exhibited substantially lower inter-annual variability (<abbrev xlink:title="coefficient of variation">CV</abbrev>: 45.0%; 77.3%). Neither species showed a statistically significant directional trend over the 27-year study period, although both displayed pronounced multi-annual fluctuations. This contrasting variability suggests that <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> may be more susceptible to environmental drivers and fishing pressure dynamics. Meanwhile, the recent post-2010 recovery in <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> landings warrants continued monitoring.</p>
      <p><bold>Size structure of the catches</bold>. A total of 508 <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> and 408 <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> were sampled at Teboulba harbor during the 2022 fishing season. Descriptive statistics of lengths are presented in Table <xref ref-type="table" rid="T3">3</xref>. The normality of the distributions was tested using the Shapiro–Wilk test. For <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> (<italic>W</italic> = 0.94, <italic>p</italic> &lt; 0.001) and <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> (<italic>W</italic> = 0.91, <italic>p</italic> &lt; 0.001), the normality hypothesis was rejected, justifying the use of non-parametric statistics (median and quartiles) alongside classical parameters.</p>
      <table-wrap id="T3" position="float" orientation="portrait">
        <label>Table 3.</label>
        <caption>
          <p>Descriptive statistics of fork lengths [cm] for <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">Auxis</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> and <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">Euthynnus</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> sampled in northeastern waters of Tunisia (GSA 13) during 2022.</p>
        </caption>
        <table>
          <tbody>
            <tr>
              <th rowspan="1" colspan="1">
                <bold>Species</bold>
              </th>
              <th rowspan="1" colspan="1">
                <bold>
                  <italic>n</italic>
                </bold>
              </th>
              <th rowspan="1" colspan="1">
                <bold>Min</bold>
              </th>
              <th rowspan="1" colspan="1">
                <bold>Max</bold>
              </th>
              <th rowspan="1" colspan="1">
                <bold>Mean</bold>
              </th>
              <th rowspan="1" colspan="1">
                <bold>
                  <abbrev xlink:title="standard deviation">SD</abbrev>
                </bold>
              </th>
              <th rowspan="1" colspan="1">
                <bold>Median</bold>
              </th>
              <th rowspan="1" colspan="1">
                <bold>
                  <abbrev xlink:title="first quartile">Q1</abbrev>
                </bold>
              </th>
              <th rowspan="1" colspan="1">
                <bold>
                  <abbrev xlink:title="third quartile">Q3</abbrev>
                </bold>
              </th>
              <th rowspan="1" colspan="1">
                <bold>
                  <abbrev xlink:title="interquartile range">IQR</abbrev>
                </bold>
              </th>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">
                <bold>
                  <italic>
                    <tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name>
                  </italic>
                </bold>
              </td>
              <td rowspan="1" colspan="1">508</td>
              <td rowspan="1" colspan="1">18</td>
              <td rowspan="1" colspan="1">44</td>
              <td rowspan="1" colspan="1">35.12</td>
              <td rowspan="1" colspan="1">5.20</td>
              <td rowspan="1" colspan="1">36</td>
              <td rowspan="1" colspan="1">33</td>
              <td rowspan="1" colspan="1">39</td>
              <td rowspan="1" colspan="1">6</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">
                <bold>
                  <italic>
                    <tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name>
                  </italic>
                </bold>
              </td>
              <td rowspan="1" colspan="1">408</td>
              <td rowspan="1" colspan="1">38</td>
              <td rowspan="1" colspan="1">90</td>
              <td rowspan="1" colspan="1">61.07</td>
              <td rowspan="1" colspan="1">10.29</td>
              <td rowspan="1" colspan="1">57</td>
              <td rowspan="1" colspan="1">56</td>
              <td rowspan="1" colspan="1">67</td>
              <td rowspan="1" colspan="1">11</td>
            </tr>
          </tbody>
        </table>
        <table-wrap-foot>
          <fn>
            <p><italic>n</italic>, number of individuals; <abbrev xlink:title="standard deviation">SD</abbrev>, standard deviation; <abbrev xlink:title="first quartile">Q1</abbrev>, first quartile; <abbrev xlink:title="third quartile">Q3</abbrev>, third quartile; <abbrev xlink:title="interquartile range">IQR</abbrev>, interquartile range.</p>
          </fn>
        </table-wrap-foot>
      </table-wrap>
      <p>The lengths of the 508 <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> individuals ranged from 18 to 44 cm, with mean and median values of 35.1 cm and 36 cm, respectively. The distribution was bimodal, with the first peak occurring at 33 cm and the second at 40 cm (Fig. <xref ref-type="fig" rid="F3">3</xref>). The Shapiro–Wilk test confirmed a non-normal distribution (<italic>p</italic> &lt; 0.001). Around 42% of the captured individuals were smaller than the size at first maturity (<italic>L</italic><sub>50</sub> = 32.6 cm), suggesting that a significant proportion of the catch were juveniles. The maximum observed length was 44 cm, and no individuals exceeding this size were recorded in the samples.</p>
      <fig id="F3">
        <object-id content-type="doi">10.3897/aiep.56.199776.figure3</object-id>
        <object-id content-type="arpha">7E0C6F94-CE4E-5891-9577-A3CD49984867</object-id>
        <label>Figure 3.</label>
        <caption>
          <p>Length frequency distribution of <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">Euthynnus</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> and <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">Auxis</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> in northeastern waters of Tunisia (GSA 13) in 2022.</p>
        </caption>
        <graphic xlink:href="aiep-56-379-g003.jpg" id="oo_1747368.jpg">
          <uri content-type="original_file">https://binary.pensoft.net/fig/1747368</uri>
        </graphic>
      </fig>
      <p>The 408 <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> specimens’ lengths ranged from 38 to 90 cm, with a mean of 61.1 cm and a median of 57 cm. The distribution showed a main mode in the 55–59 cm class and a secondary mode around the 80–84 cm class (Fig. <xref ref-type="fig" rid="F3">3</xref>). This reflects the coexistence of recruiting adults and large spawners. The distribution deviated significantly from normality (Shapiro–Wilk test, <italic>p</italic> &lt; 0.001). Only 2% of individuals measured less than 42.3 cm (<italic>L</italic><sub>50</sub>), indicating that the fishery primarily targets mature fish. The interquartile range (<abbrev xlink:title="interquartile range">IQR</abbrev> = 11 cm) reflected moderate size variability, with individuals exceeding 80 cm regularly present, which favors the conservation of reproductive potential.</p>
      <p>A comparison of size distributions using the non-parametric Mann–Whitney test (<italic>U</italic>) revealed a highly significant difference between the two species (<italic>U</italic> = 18 507, <italic>p</italic> &lt; 0.001). <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">Euthynnus.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> attained considerably larger sizes than <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic>, with medians of 57 cm and 36 cm, respectively (Table <xref ref-type="table" rid="T3">3</xref>; Fig. <xref ref-type="fig" rid="F3">3</xref>). This contrast is noteworthy given that both species are exploited by the same purse-seine fleet, using the same gear, and operating in the same fishing grounds (GSA 13). Despite this identical fishing pressure, <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> is primarily captured as adults, whereas <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> catches include a substantial proportion of juveniles. These contrasting demographic structures support the application of Length-Based Bayesian Biomass method (<abbrev xlink:title="Length-Based Bayesian Biomass">LBB</abbrev>) to evaluate their respective stock statuses.</p>
      <p><bold>Stocks assessment (<abbrev xlink:title="Length-Based Bayesian Biomass">LBB</abbrev>)</bold>. The <abbrev xlink:title="Length-Based Bayesian Biomass">LBB</abbrev> method provided further insights into the exploitation status of the two species (<italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> and <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic>), revealing markedly different levels of fishing pressure and stock depletion (Table <xref ref-type="table" rid="T4">4</xref>).</p>
      <table-wrap id="T4" position="float" orientation="portrait">
        <label>Table 4.</label>
        <caption>
          <p>Summary of length-based indicators and stock status metrics for <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">Auxis</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> and <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">Euthynnus</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic>, sampled in northeastern waters of Tunisia (GSA 13) in 2022, using <abbrev xlink:title="Length-Based Bayesian Biomass">LBB</abbrev> analysis.</p>
        </caption>
        <table>
          <tbody>
            <tr>
              <th rowspan="1" colspan="1">
                <bold>Parameter</bold>
              </th>
              <th rowspan="1" colspan="1">
                <bold>
                  <italic>
                    <tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">Auxis</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name>
                  </italic>
                </bold>
              </th>
              <th rowspan="1" colspan="1">
                <bold>
                  <italic>
                    <tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">Euthynnus</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name>
                  </italic>
                </bold>
              </th>
            </tr>
            <tr>
              <td rowspan="1" colspan="1"><italic>L<sub>∞</sub></italic> [cm]</td>
              <td rowspan="1" colspan="1">48.6 (47.7–49.4)</td>
              <td rowspan="1" colspan="1">118 (116–120)</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1"><italic>L</italic><sub>opt</sub> [cm]</td>
              <td rowspan="1" colspan="1">35</td>
              <td rowspan="1" colspan="1">77</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1"><italic>L</italic><sub>C</sub> [cm]</td>
              <td rowspan="1" colspan="1">27</td>
              <td rowspan="1" colspan="1">54</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1"><italic>L</italic><sub>Copt</sub> [cm]</td>
              <td rowspan="1" colspan="1">34</td>
              <td rowspan="1" colspan="1">66</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1"><italic>L</italic><sub>mean</sub>/<italic>L</italic><sub>opt</sub></td>
              <td rowspan="1" colspan="1">1.0</td>
              <td rowspan="1" colspan="1">0.85</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1"><italic>L</italic><sub>C</sub>/<italic>L</italic><sub>Copt</sub></td>
              <td rowspan="1" colspan="1">0.79</td>
              <td rowspan="1" colspan="1">0.78</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1"><italic>L</italic><sub>95th</sub>/<italic>L<sub>∞</sub></italic></td>
              <td rowspan="1" colspan="1">0.9</td>
              <td rowspan="1" colspan="1">0.76</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Mature in catch [%]</td>
              <td rowspan="1" colspan="1">58%</td>
              <td rowspan="1" colspan="1">98%</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1"><italic>F</italic>/<italic>M</italic></td>
              <td rowspan="1" colspan="1">15 (12–19)</td>
              <td rowspan="1" colspan="1">1.4 (1.1–1.7)</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1"><italic>B</italic>/<italic>B</italic><sub>0</sub></td>
              <td rowspan="1" colspan="1">0.08 (0.05–0.10)</td>
              <td rowspan="1" colspan="1">0.25 (0.19–0.32)</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">
                <italic>B/B</italic>
                <sub>
                  <abbrev xlink:title="maximum sustainable yield">MSY</abbrev>
                </sub>
              </td>
              <td rowspan="1" colspan="1">0.21 (0.14–0.28)</td>
              <td rowspan="1" colspan="1">0.67 (0.52–0.87)</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Stock status</td>
              <td rowspan="1" colspan="1">Critically overfished</td>
              <td rowspan="1" colspan="1">Overfished</td>
            </tr>
          </tbody>
        </table>
        <table-wrap-foot>
          <fn>
            <p>Values in parentheses represent 95% confidence intervals. <abbrev xlink:title="Length-Based Bayesian Biomass">LBB</abbrev>, Length-Based Bayesian Biomass method; <italic>L</italic><bold><italic><sub>∞</sub></italic></bold>, asymptotic length; <italic>L</italic><sub>opt</sub>, optimal length; <italic>L</italic><sub>C</sub>, length at first capture; <italic>L</italic><sub>mean</sub>, mean length in catch; <italic>L</italic><sub>95th</sub>, 95th percentile length; <italic>F</italic>, fishing mortality; <italic>M</italic>, natural mortality; <italic>B</italic>, current biomass; <italic>B</italic><sub>0</sub>: unexploited biomass; <italic>B</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub>, biomass at maximum sustainable yield.</p>
          </fn>
        </table-wrap-foot>
      </table-wrap>
      <p>For <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic>, the analysis indicated an extremely depleted stock, with current biomass estimated at 8% of the unexploited level (<italic>B</italic>/<italic>B</italic><sub>0</sub> = 0.08, <abbrev xlink:title="confidence interval">CI</abbrev>: 0.05–0.10). The biomass relative to <italic>B</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub> was also low (<italic>B</italic>/<italic>B</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub> = 0.21, <abbrev xlink:title="confidence interval">CI</abbrev>: 0.14–0.28), indicating that the stock was below the level required to sustain maximum yields. This severe depletion is consistent with a high fishing mortality rate (<italic>F</italic>/<italic>M</italic> = 15, <abbrev xlink:title="confidence interval">CI</abbrev>: 12–19), indicating that fishing mortality is higher than natural mortality. The length structure revealed that around 58% of the captured individuals were mature (≥ <italic>L</italic><sub>50</sub> = 32.6 cm), suggesting that most of the catch comprises adults. However, a significant proportion (42%) of juveniles were also present (Table <xref ref-type="table" rid="T4">4</xref>; Fig. <xref ref-type="fig" rid="F4">4A</xref>). The length at first capture used in the analysis (<italic>L</italic><sub>C</sub><italic>=</italic> 27 cm) corresponds to the observed prior, reflecting the size at which 50% of individuals become vulnerable to the gear. Although the model estimated a higher <italic>L</italic><sub>C</sub> (43.5 cm), we retained the observed value for management recommendations to align with current fishing practices. With a <italic>L</italic><sub>mean</sub>/<italic>L</italic><sub>opt</sub> ratio of approximately 1.0, the average size of the captured individuals is close to the optimal length, suggesting that the fishery is not severely truncating the larger size classes. However, the combination of a low <italic>L</italic><sub>C</sub>/<italic>L</italic><sub>Copt</sub> ratio (0.79) and high fishing mortality (<italic>F</italic>/<italic>M</italic> = 15) indicates severe overexploitation, reducing the stock to 8% of its unexploited biomass.</p>
      <fig id="F4">
        <object-id content-type="doi">10.3897/aiep.56.199776.figure4</object-id>
        <object-id content-type="arpha">A92935D6-49EC-5A47-9C89-038C1D0BBAE3</object-id>
        <label>Figure 4.</label>
        <caption>
          <p>Graphical outputs of <abbrev xlink:title="Length-Based Bayesian Biomass">LBB</abbrev> for <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">Auxis</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> (<bold>A</bold>) and <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">Euthynnus</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> (<bold>B</bold>) in northeastern waters of Tunisia (GSA 13) in 2022. The left panels show the accumulated LF data that was used to estimate the prior values of <italic>L</italic><sub>C</sub>, <italic>L<sub>∞</sub></italic>, and <italic>Z</italic>/<italic>K.</italic> The right-hand panels show the LF data for the year 2022, indicating the <italic>L</italic><sub>opt</sub>, <italic>L<sub>∞</sub></italic>, and <italic>Z</italic>/<italic>K</italic> values obtained by fitting a curve to the data. These panels also show <italic>L</italic><sub>C</sub> (lower curve) relative to <italic>L</italic><sub>Copt</sub>.</p>
        </caption>
        <graphic xlink:href="aiep-56-379-g004.jpg" id="oo_1747369.jpg">
          <uri content-type="original_file">https://binary.pensoft.net/fig/1747369</uri>
        </graphic>
      </fig>
      <p>The situation was less severe for <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic>, though still concerning. Current biomass was estimated at 25% of the unexploited level (<italic>B</italic>/<italic>B</italic><sub>0</sub> = 0.25, <abbrev xlink:title="confidence interval">CI</abbrev>: 0.19–0.32) and <italic>B</italic>/<italic>B</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub> was 0.67 (<abbrev xlink:title="confidence interval">CI</abbrev>: 0.52–0.87), indicating an overfished stock. Fishing mortality exceeded natural mortality (<italic>F</italic>/<italic>M</italic> = 1.4, <abbrev xlink:title="confidence interval">CI</abbrev>: 1.1–1.7) but remained within the range commonly observed in exploited fisheries. The length structure was healthier, with 98% of the captured individuals being mature. The <italic>L</italic><sub>mean</sub>/<italic>L</italic><sub>opt</sub> ratio of 0.85 suggests that fishing selects individuals slightly below the optimal length (Table <xref ref-type="table" rid="T4">4</xref>; Fig. <xref ref-type="fig" rid="F4">4B</xref>).</p>
      <p>The contrasting stock status of the two species was highlighted by <abbrev xlink:title="Length-Based Bayesian Biomass">LBB</abbrev> indicators (Table <xref ref-type="table" rid="T4">4</xref>). Although both species were classified as overfished, <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> exhibited critical levels of depletion, with current biomass at just 8% of the unexploited level (<italic>B</italic>/<italic>B</italic><sub>0</sub> = 0.08), and a fishing mortality rate higher than the natural mortality rate (<italic>F</italic>/<italic>M</italic> = 15). By contrast, <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> had a higher relative biomass (<italic>B</italic>/<italic>B</italic><sub>0</sub> = 0.25) and more balanced fishing pressure (<italic>F</italic>/<italic>M</italic> = 1.4), with almost all of the individuals captured being mature (98%).</p>
      <p>These length-based indicators were complemented by a catch-only CMSY++ stock assessment, which provided fisheries-dependent reference points and a temporal trajectory of stock status relative to management targets.</p>
      <p><bold>Stocks assessment (CMSY++)</bold>. The CMSY++ analysis revealed contrasting stock status for the two species (Table <xref ref-type="table" rid="T5">5</xref>). For <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic>, the analysis estimated an intrinsic population growth rate (<italic>r</italic>) of 0.229 (95% <abbrev xlink:title="confidence interval">CI</abbrev>: 0.15–0.295) and a carrying capacity (<italic>K</italic>) of 20 600 t (95% <abbrev xlink:title="confidence interval">CI</abbrev>: 14 600–35 800). The <abbrev xlink:title="maximum sustainable yield">MSY</abbrev> was estimated at 1180 t · yr<sup>–1</sup> (95% <abbrev xlink:title="confidence interval">CI</abbrev>: 926–1620). In 2022, the stock biomass was 8650 t, corresponding to a <italic>B</italic>/<italic>B</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub> ratio of 0.75 (95% <abbrev xlink:title="confidence interval">CI</abbrev>: 0.45–1.11), indicating that the stock was below the biomass capable of producing <abbrev xlink:title="maximum sustainable yield">MSY</abbrev>. The fishing mortality rate (<italic>F</italic> = 0.142) relative to the <abbrev xlink:title="maximum sustainable yield">MSY</abbrev> fishing mortality rate (<italic>F</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub> = 0.114) gave an <italic>F</italic>/<italic>F</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub> ratio of 1.39 (95% <abbrev xlink:title="confidence interval">CI</abbrev>: 0.73–3.03), indicating that overfishing is occurring (Fig. <xref ref-type="fig" rid="F5">5</xref>; Table <xref ref-type="table" rid="T5">5</xref>). According to the Kobe plot classification, <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> currently indicates that overfishing is occurring, but the biomass is near <abbrev xlink:title="maximum sustainable yield">MSY</abbrev>, though the wide confidence intervals suggest some uncertainty regarding the exact stock status (Fig. <xref ref-type="fig" rid="F6">6A</xref>; Table <xref ref-type="table" rid="T5">5</xref>).</p>
      <fig id="F5">
        <object-id content-type="doi">10.3897/aiep.56.199776.figure5</object-id>
        <object-id content-type="arpha">0CFCFAC8-0CF2-59E7-942E-070006A60E79</object-id>
        <label>Figure 5.</label>
        <caption>
          <p>Graphical output of CMSY++ analyses for <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">Euthynnus</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> in northeastern waters of Tunisia (GSA 13) between 1996 and 2022. (<bold>A</bold>) Catch; (<bold>B</bold>–<bold>C</bold>) Monte Carlo simulations of the best combination of <italic>r</italic> and <italic>K</italic>; (<bold>D</bold>) Stock size (dashed lines indicate confidence interval); (<bold>E</bold>) Exploitation rate (dashed lines indicate confidence interval); (<bold>F</bold>) Equilibrium curve estimated through the Schaefer model, where square and triangle symbols represent the estimates of initial and final years, respectively.</p>
        </caption>
        <graphic xlink:href="aiep-56-379-g005.jpg" id="oo_1747370.jpg">
          <uri content-type="original_file">https://binary.pensoft.net/fig/1747370</uri>
        </graphic>
      </fig>
      <fig id="F6">
        <object-id content-type="doi">10.3897/aiep.56.199776.figure6</object-id>
        <object-id content-type="arpha">D7165774-C290-5F98-AC0E-BAAE41ABD57D</object-id>
        <label>Figure 6.</label>
        <caption>
          <p>CMSY++ results for <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">Euthynnus</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> (<bold>A</bold>) and <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">Auxis</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> (<bold>B</bold>) in northeastern waters of Tunisia (GSA 13) between 1996 and 2022 presented in a Kobe plot, showing the synchronized changes in exploitation (<italic>F</italic>/<italic>F</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub>) and the relative biomass (<italic>B</italic>/<italic>B</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub>). The plot is divided into four quadrants based on relative stock biomass and fishing mortality in relation to <italic>B</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub> and <italic>F</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub>, respectively. The quadrants are defined as follows. Red: stocks that are overfished (low relative biomass) and subject to overfishing (high exploitation rate) (<italic>B</italic>/<italic>B</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub>; <italic>F</italic>/<italic>F</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub>), Orange: high relative biomass and high exploitation rate; Yellow: recovering stocks; Green: sustainable exploitation rate and healthy stock biomass capable of producing high yields close to <italic><abbrev xlink:title="maximum sustainable yield">MSY</abbrev>.</italic> The shaded areas indicate the 50%, 80%, and 95% confidence intervals of the reference points during the last year, in light grey, grey, and dark grey, respectively.</p>
        </caption>
        <graphic xlink:href="aiep-56-379-g006.jpg" id="oo_1747371.jpg">
          <uri content-type="original_file">https://binary.pensoft.net/fig/1747371</uri>
        </graphic>
      </fig>
      <table-wrap id="T5" position="float" orientation="portrait">
        <label>Table 5.</label>
        <caption>
          <p>CMSY++ stock assessment outputs for <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">Euthynnus</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> and <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">Auxis</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> in in northeastern waters of Tunisia (GSA 13) between 1996 and 2022. Values in parentheses represent 95% confidence intervals.</p>
        </caption>
        <table>
          <tbody>
            <tr>
              <th rowspan="1" colspan="1">
                <bold>Parameter</bold>
              </th>
              <th rowspan="1" colspan="1">
                <bold>
                  <italic>
                    <tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">Euthynnus</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name>
                  </italic>
                </bold>
              </th>
              <th rowspan="1" colspan="1">
                <bold>
                  <italic>
                    <tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">Auxis</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name>
                  </italic>
                </bold>
              </th>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Assessment period</td>
              <td rowspan="1" colspan="1">1996–2022</td>
              <td rowspan="1" colspan="1">1996–2022</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Intrinsic growth rate (<italic>r</italic>)</td>
              <td rowspan="1" colspan="1">0.229 (95% <abbrev xlink:title="confidence interval">CI</abbrev>: 0.150–0.295)</td>
              <td rowspan="1" colspan="1">0.299 (95% <abbrev xlink:title="confidence interval">CI</abbrev>: 0.163–0.409)</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Carrying capacity (<italic>K</italic>) [thousand t]</td>
              <td rowspan="1" colspan="1">20.6 (14.6–35.8)</td>
              <td rowspan="1" colspan="1">6.25 (3.93–12.6)</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Maximum Sustainable Yield (<abbrev xlink:title="maximum sustainable yield">MSY</abbrev>) [thousand t · yr<sup>–1</sup>]</td>
              <td rowspan="1" colspan="1">1.18 (0.926–1.62)</td>
              <td rowspan="1" colspan="1">0.467 (0.326–0.728)</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Biomass at <abbrev xlink:title="maximum sustainable yield">MSY</abbrev> (<italic>B</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub>) (thousand t)</td>
              <td rowspan="1" colspan="1">10.3 (7.32–17.9)</td>
              <td rowspan="1" colspan="1">3.12 (1.97–6.31)</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Fishing mortality at <abbrev xlink:title="maximum sustainable yield">MSY</abbrev> (<italic>F</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub>)</td>
              <td rowspan="1" colspan="1">0.114 (0.0748–0.147)</td>
              <td rowspan="1" colspan="1">0.149 (0.0813–0.204)</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Biomass in 2022 (<italic>B</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub>) [thousand t]</td>
              <td rowspan="1" colspan="1">8.65 (4.13–16.8)</td>
              <td rowspan="1" colspan="1">2.02 (0.676–4.29)</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1"><italic>B</italic>/<italic>B</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub></td>
              <td rowspan="1" colspan="1">0.752 (0.445–1.11)</td>
              <td rowspan="1" colspan="1">0.523 (0.231–0.86)</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Fishing mortality in 2022 (<italic>F</italic><sub>2022</sub>)</td>
              <td rowspan="1" colspan="1">0.142 (0.0685–0.317)</td>
              <td rowspan="1" colspan="1">0.145 (0.0645–0.427)</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1"><italic>F</italic><sub>2022</sub> /<italic>F</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub></td>
              <td rowspan="1" colspan="1">1.39 (0.73–3.03)</td>
              <td rowspan="1" colspan="1">1.30 (0.545–6.75)</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Relative biomass in 2022 (<italic>B</italic>/<italic>K</italic>)</td>
              <td rowspan="1" colspan="1">0.376 (0.222–0.557)</td>
              <td rowspan="1" colspan="1">0.261 (0.115–0.43)</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Exploitation rate <italic>F</italic>/(<italic>r</italic>/2) in 2022</td>
              <td rowspan="1" colspan="1">1.39 (0.73–3.03)</td>
              <td rowspan="1" colspan="1">1.30 (0.545–6.75)</td>
            </tr>
          </tbody>
        </table>
      </table-wrap>
      <p>The CMSY++ analysis for <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> estimated an intrinsic growth rate (<italic>r</italic>) of 0.299 (95% <abbrev xlink:title="confidence interval">CI</abbrev>: 0.163–0.409) and a carrying capacity of 6250 t (95% <abbrev xlink:title="confidence interval">CI</abbrev>: 3930–12600) (Fig. <xref ref-type="fig" rid="F7">7</xref>; Table <xref ref-type="table" rid="T5">5</xref>). The <abbrev xlink:title="maximum sustainable yield">MSY</abbrev> was 467 t · yr<sup>–1</sup> (95% <abbrev xlink:title="confidence interval">CI</abbrev>: 326–728). In 2022, the stock biomass was 2020 t, giving a <italic>B</italic>/<italic>B</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub> ratio of 0.52 (95% <abbrev xlink:title="confidence interval">CI</abbrev>: 0.23–0.86). This indicates that the stock is below the biomass required to produce the <abbrev xlink:title="maximum sustainable yield">MSY</abbrev>, meaning it is overfished. The fishing mortality rate (<italic>F</italic> = 0.145) relative to the <abbrev xlink:title="maximum sustainable yield">MSY</abbrev> fishing mortality rate (<italic>F</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub> = 0.149) gave an <italic>F</italic>/<italic>F</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub> ratio of 1.30 (95% <abbrev xlink:title="confidence interval">CI</abbrev>: 0.55–6.75), indicating overfishing. The Kobe plot trajectory places <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> in an overfished state, with overfishing occurring, confirming that its stock status is more critical than that of <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> (Fig. <xref ref-type="fig" rid="F6">6B</xref>; Table <xref ref-type="table" rid="T5">5</xref>).</p>
      <fig id="F7">
        <object-id content-type="doi">10.3897/aiep.56.199776.figure7</object-id>
        <object-id content-type="arpha">B824ECA2-878F-5E9E-9A81-B85C194FA70C</object-id>
        <label>Figure 7.</label>
        <caption>
          <p>Graphical output of CMSY++ analyses for <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">Auxis</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> in northeastern waters of Tunisia (GSA 13) between 1996 and 2022.</p>
        </caption>
        <graphic xlink:href="aiep-56-379-g007.jpg" id="oo_1747372.jpg">
          <uri content-type="original_file">https://binary.pensoft.net/fig/1747372</uri>
        </graphic>
      </fig>
      <p>Both species are experiencing overfishing, but <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> is in a more depleted state, with a biomass of approximately half that of the <abbrev xlink:title="maximum sustainable yield">MSY</abbrev> level, compared to three-quarters for <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic>. The wide confidence intervals, particularly for <italic>F</italic>/<italic>F</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub>, reflect the uncertainty of catch-only assessments. To assess the stability and reliability of the CMSY++ stock status classifications, retrospective analyses were performed by progressively truncating the time series.</p>
      <p><bold>Retrospective analysis</bold>. Retrospective analyses were performed to evaluate the robustness of the CMSY++ estimates by sequentially removing the most recent years of data. For <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic>, the <italic>B</italic>/<italic>B</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub> and <italic>F</italic>/<italic>F</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub> estimates for the final years remained relatively stable across all four retrospective runs (<italic>B</italic>/<italic>B</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub> range: 0.60–0.74; <italic>F</italic>/<italic>F</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub> range: 1.14–1.52) (Fig. <xref ref-type="fig" rid="F8">8A</xref>). This indicates that the model outputs are not overly sensitive to the inclusion or exclusion of recent data points.</p>
      <fig id="F8">
        <object-id content-type="doi">10.3897/aiep.56.199776.figure8</object-id>
        <object-id content-type="arpha">F3BC0586-4AF6-5CC8-92A1-099F721AFD8F</object-id>
        <label>Figure 8.</label>
        <caption>
          <p>CMSY++ retrospective analysis for <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">Euthynnus</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> (<bold>A</bold>) and <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">Auxis</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> (<bold>B</bold>) in northeastern waters of Tunisia (GSA 13) between 1996 and 2022.</p>
        </caption>
        <graphic xlink:href="aiep-56-379-g008.jpg" id="oo_1747430.jpg">
          <uri content-type="original_file">https://binary.pensoft.net/fig/1747430</uri>
        </graphic>
      </fig>
      <p>However, the retrospective analysis revealed greater sensitivity for <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic>. Consistent estimates were produced by runs including the full time series (1996–2022) and runs ending in 2021 (<italic>B</italic>/<italic>B</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub>: 0.52–0.58; <italic>F</italic>/<italic>F</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub>: 1.20–1.35). By contrast, runs ending in 2020 and 2019 produced markedly different results, with <italic>B</italic>/<italic>B</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub> exceeding 1.0 and <italic>F</italic>/<italic>F</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub> falling below 0.64 (Fig. <xref ref-type="fig" rid="F8">8B</xref>). This suggests that recent catch dynamics (2021–2022) have substantially influenced the classification of the stock status. Although estimates based on the full-time series are considered the most reliable, this retrospective uncertainty should be acknowledged.</p>
    </sec>
    <sec sec-type="Discussion" id="sec4">
      <title>Discussion</title>
      <p>This study provides the first quantitative stock assessment of the small tuna species <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">Euthynnus</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> and <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">Auxis</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> in the central Mediterranean Sea (GSA 13). By combining two complementary, data-limited methods (<abbrev xlink:title="Length-Based Bayesian Biomass">LBB</abbrev> and CMSY++), we reveal different stock statuses for these two species, which are exploited by the same fishery. This has major implications for their management.</p>
      <p><bold>Stock status and landing</bold>. The <abbrev xlink:title="Length-Based Bayesian Biomass">LBB</abbrev> analysis indicates that <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> is in a critical state, with an estimated biomass of only 8% of the unexploited biomass and a high fishing mortality ratio. The CMSY++ results confirm this diagnosis, indicating that the stock is overfished and that overfishing is occurring. This situation is alarming, given that our study is the first to provide a quantitative assessment of this species in the central Mediterranean. Previous work has been limited to semi-quantitative risk analyses (<xref ref-type="bibr" rid="B53">Lucena-Frédou et al. 2017</xref>) and descriptive studies of size structure and biology (<xref ref-type="bibr" rid="B38">Hattour 2009</xref>; <xref ref-type="bibr" rid="B92">Zarrad and Missaoui 2016</xref>).</p>
      <p>By contrast, <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> has a less severe yet still concerning status. Both methods indicate an overfished stock and ongoing overfishing. Our results are consistent with previous assessments (<xref ref-type="bibr" rid="B68">Pons et al. 2019a</xref>, <xref ref-type="bibr" rid="B69">2019b</xref>; <xref ref-type="bibr" rid="B54">Lucena-Frédou et al. 2021</xref>) and provide the first detailed estimate in the central Mediterranean (GSA 13). The convergence of the <abbrev xlink:title="Length-Based Bayesian Biomass">LBB</abbrev> and CMSY++ methods bolster confidence in this diagnosis, aligning with the <abbrev xlink:title="International Commission for the Conservation of Atlantic Tunas">ICCAT</abbrev> Small Tunas Working Group’s recommendation (<xref ref-type="bibr" rid="B41">ICCAT 2018</xref>, <xref ref-type="bibr" rid="B42">2023</xref>) to use multiple analytical approaches and reduce uncertainty.</p>
      <p>The time series from 1996 to 2022 reveals contrasting dynamics between the two species. For <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic>, the recent increase in landings, with notable peaks in 2016–2017, coincides with regional trends observed in the Mediterranean (<xref ref-type="bibr" rid="B43">ICCAT 2025</xref>; <xref ref-type="bibr" rid="B79">Sant’Ana et al. 2021a</xref>) and likely reflects a displacement of fishing effort following the introduction of bluefin tuna quotas (<xref ref-type="bibr" rid="B22">Failler et al. 2025</xref>). The strengthening of data collection frameworks and the spatial delineation of stock units by <abbrev xlink:title="International Commission for the Conservation of Atlantic Tunas">ICCAT</abbrev> have likely improved the reliability of reported catch statistics (<xref ref-type="bibr" rid="B42">ICCAT 2023</xref>). However, the absence of a statistically significant long-term trend indicates that these production peaks are episodic rather than indicative of sustained stock recovery. Our findings are consistent with national fishery statistics for Tunisia (<xref ref-type="bibr" rid="B38">Hattour 2009</xref>; <xref ref-type="bibr" rid="B92">Zarrad and Missaoui 2016</xref>), which documented increases in small tuna landings following the implementation of the National Strategy for the Development of Small-Scale Pelagic Fisheries (<abbrev xlink:title="National Strategy for the Development of Small-Scale Pelagic Fisheries">NSDSPF</abbrev>; <xref ref-type="bibr" rid="B60">Mili et al. 2025</xref>).</p>
      <p>Landings of <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> exhibited greater interannual variability compared to <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic>, with a pronounced peak in the early 2000s followed by a sharp decline. This instability, also observed in Mediterranean-scale data (<xref ref-type="bibr" rid="B43">ICCAT 2025</xref>), suggests a strong dependence on environmental fluctuations and seasonal concentrations (<xref ref-type="bibr" rid="B85">Valeiras et al. 2008</xref>), rendering the species particularly vulnerable to fishing pressure (<xref ref-type="bibr" rid="B53">Lucena-Frédou et al. 2017</xref>; <xref ref-type="bibr" rid="B80">Sant’Ana et al. 2021b</xref>). In Tunisia, the significant contribution of this species to small tuna landings (<xref ref-type="bibr" rid="B92">Zarrad and Missaoui 2016</xref>) implies that the local fishery is highly susceptible to this natural variability.</p>
      <p><bold>Mechanisms driving vulnerability</bold>. Despite being exploited by the same purse-seine fleet in GSA 13, the divergent stock status observed in these two sympatric species calls for an examination of the mechanisms underlying this disparity.</p>
      <p>Firstly, the demographic structure of the catches differs. For <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic>, the low proportion of juveniles (2% below <italic>L</italic><sub>50</sub> = 42.3 cm) suggests relatively good selectivity. The specimens measured between 38 and 90 cm (<abbrev xlink:title="Fork length">FL</abbrev>), with a mean of 61.1 cm and a primary mode in the 55–59 cm class. This is consistent with historical observations in Tunisia by <xref ref-type="bibr" rid="B38">Hattour (2009)</xref>, who reported a similar modal class of 56–60 cm. However, the rarity of very large individuals (&gt;90 cm) in our samples, despite a growth potential reaching 100–122 cm in the Mediterranean (<xref ref-type="bibr" rid="B15">Claro 1994</xref>; <xref ref-type="bibr" rid="B79">Sant’Ana et al. 2021a</xref>), suggests a truncation of the population size structure (Table <xref ref-type="table" rid="T6">6</xref>). Several studies have reported the increasing rarity of individuals exceeding 100 cm in the Mediterranean (<xref ref-type="bibr" rid="B38">Hattour 2009</xref>; <xref ref-type="bibr" rid="B34">Hajjej et al. 2010</xref>; <xref ref-type="bibr" rid="B21">El-Haweet et al. 2013</xref>), a trend that is consistent with our findings. The elimination of the oldest age classes is concerning because it deprives the stock of Big Old Fat Fecund Female Fish (<abbrev xlink:title="Big Old Fat Fecund Female Fish">BOFFFs</abbrev>), whose disproportionate contribution to reproductive success is vital for stock resilience (<xref ref-type="bibr" rid="B39">Hixon et al. 2014</xref>; <xref ref-type="bibr" rid="B6">Barneche et al. 2018</xref>). Taken together with the rarity of large individuals, this suggests that the fishery is exploiting medium-sized adult fish without allowing them to reach full maturity and contribute optimally to stock renewal (<xref ref-type="bibr" rid="B86">Vasilakopoulos et al. 2011</xref>; <xref ref-type="bibr" rid="B87">Vasilakopoulos et al. 2014</xref>; <xref ref-type="bibr" rid="B52">Konoyima et al. 2024</xref>). Our results contrast with those of <xref ref-type="bibr" rid="B92">Zarrad and Missaoui (2016)</xref> and <xref ref-type="bibr" rid="B56">Macías et al. (2008)</xref>, who reported size ranges of 33–63 cm and 36–46 cm <abbrev xlink:title="Fork length">FL</abbrev>, respectively, from the Tunisian coast in 2014 and in the Spanish Mediterranean basin. Both studies point to a greater prevalence of smaller individuals (Table <xref ref-type="table" rid="T6">6</xref>). This discrepancy may be due to interannual variability in recruitment dynamics in Tunisian waters and potential differences of the fishing gear selectivity in the Spanish Mediterranean.</p>
      <table-wrap id="T6" position="float" orientation="portrait">
        <label>Table 6.</label>
        <caption>
          <p>Comparison of key biological and fishery parameters for <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">Euthynnus</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> and <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">Auxis</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> between the presently reported study (GSA 13, 2022) and previous studies in the Mediterranean and Atlantic.</p>
        </caption>
        <table>
          <tbody>
            <tr>
              <th rowspan="1" colspan="1">
                <bold>Reference</bold>
              </th>
              <th rowspan="1" colspan="1">
                <bold>Area</bold>
              </th>
              <th rowspan="1" colspan="1">
                <bold>Species</bold>
              </th>
              <th rowspan="1" colspan="1">
                <bold><italic>t</italic><sub>0</sub> [years]</bold>
              </th>
              <th rowspan="1" colspan="1">
                <bold><italic>L</italic><sub>50</sub> [cm]</bold>
              </th>
              <th rowspan="1" colspan="1">
                <bold><italic>L</italic><sub>∞</sub> [cm]</bold>
              </th>
              <th rowspan="1" colspan="1">
                <bold><italic>L</italic><sub>max</sub> [cm]</bold>
              </th>
              <th rowspan="1" colspan="1">
                <bold>Frequency of mature in catch [%]</bold>
              </th>
              <th rowspan="1" colspan="1">
                <bold>
                  <italic>F/M</italic>
                </bold>
              </th>
              <th rowspan="1" colspan="1">
                <bold><italic>B</italic>/<italic>B</italic><sub>0</sub> or <abbrev xlink:title="spawning potential ratio">SPR</abbrev></bold>
              </th>
            </tr>
            <tr>
              <td rowspan="2" colspan="1">Presently reported study</td>
              <td rowspan="2" colspan="1">GSA 13, Tunisia</td>
              <td rowspan="1" colspan="1">
                <italic>
                  <tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name>
                </italic>
              </td>
              <td rowspan="1" colspan="1">—</td>
              <td rowspan="1" colspan="1">42.3</td>
              <td rowspan="1" colspan="1">118</td>
              <td rowspan="1" colspan="1">90</td>
              <td rowspan="1" colspan="1">98</td>
              <td rowspan="1" colspan="1">1.4</td>
              <td rowspan="1" colspan="1"><italic>B</italic>/<italic>B</italic><sub>0</sub> = 0.25</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">
                <italic>
                  <tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name>
                </italic>
              </td>
              <td rowspan="1" colspan="1">—</td>
              <td rowspan="1" colspan="1">32.6</td>
              <td rowspan="1" colspan="1">48.6</td>
              <td rowspan="1" colspan="1">44</td>
              <td rowspan="1" colspan="1">58</td>
              <td rowspan="1" colspan="1">15</td>
              <td rowspan="1" colspan="1"><italic>B</italic>/<italic>B</italic><sub>0</sub> = 0.08</td>
            </tr>
            <tr>
              <td rowspan="2" colspan="1">
                <xref ref-type="bibr" rid="B38">Hattour 2009</xref>
              </td>
              <td rowspan="2" colspan="1">Tunisia</td>
              <td rowspan="1" colspan="1">
                <italic>
                  <tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name>
                </italic>
              </td>
              <td rowspan="1" colspan="1">–1.127</td>
              <td rowspan="1" colspan="1">42.3</td>
              <td rowspan="1" colspan="1">117</td>
              <td rowspan="1" colspan="1">108</td>
              <td rowspan="1" colspan="1">—</td>
              <td rowspan="1" colspan="1">—</td>
              <td rowspan="1" colspan="1">—</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">
                <italic>
                  <tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name>
                </italic>
              </td>
              <td rowspan="1" colspan="1">–0.723</td>
              <td rowspan="1" colspan="1">32.6</td>
              <td rowspan="1" colspan="1">46.7</td>
              <td rowspan="1" colspan="1">50</td>
              <td rowspan="1" colspan="1">—</td>
              <td rowspan="1" colspan="1">—</td>
              <td rowspan="1" colspan="1">—</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">
                <xref ref-type="bibr" rid="B34">Hajjej et al. 2010</xref>
              </td>
              <td rowspan="1" colspan="1">Gulf of Gabes, Tunisia</td>
              <td rowspan="1" colspan="1">
                <italic>
                  <tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name>
                </italic>
              </td>
              <td rowspan="1" colspan="1">–2.22 (F)</td>
              <td rowspan="1" colspan="1">42.8 (M) / 44.8 (F)</td>
              <td rowspan="1" colspan="1">130.8 (F)</td>
              <td rowspan="1" colspan="1">97.8</td>
              <td rowspan="1" colspan="1">83.6</td>
              <td rowspan="1" colspan="1">—</td>
              <td rowspan="1" colspan="1">—</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">
                <xref ref-type="bibr" rid="B21">El-Haweet et al. 2013</xref>
              </td>
              <td rowspan="1" colspan="1">Alexandria, Egypt</td>
              <td rowspan="1" colspan="1">
                <italic>
                  <tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name>
                </italic>
              </td>
              <td rowspan="1" colspan="1">–0.59</td>
              <td rowspan="1" colspan="1">44</td>
              <td rowspan="1" colspan="1">123.4</td>
              <td rowspan="1" colspan="1">102</td>
              <td rowspan="1" colspan="1">20</td>
              <td rowspan="1" colspan="1">4.04</td>
              <td rowspan="1" colspan="1">—</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">
                <xref ref-type="bibr" rid="B48">Kahraman et al. 2011</xref>
              </td>
              <td rowspan="1" colspan="1">Turkey</td>
              <td rowspan="1" colspan="1">
                <italic>
                  <tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name>
                </italic>
              </td>
              <td rowspan="1" colspan="1">–4.155</td>
              <td rowspan="1" colspan="1">35</td>
              <td rowspan="1" colspan="1">57.39</td>
              <td rowspan="1" colspan="1">48</td>
              <td rowspan="1" colspan="1">—</td>
              <td rowspan="1" colspan="1">—</td>
              <td rowspan="1" colspan="1">—</td>
            </tr>
            <tr>
              <td rowspan="2" colspan="1">
                <xref ref-type="bibr" rid="B85">Valeiras et al. 2008</xref>
              </td>
              <td rowspan="2" colspan="1">Western Mediterranean</td>
              <td rowspan="1" colspan="1">
                <italic>
                  <tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name>
                </italic>
              </td>
              <td rowspan="1" colspan="1">–0.4</td>
              <td rowspan="1" colspan="1">—</td>
              <td rowspan="1" colspan="1">91.5</td>
              <td rowspan="1" colspan="1">84</td>
              <td rowspan="1" colspan="1">—</td>
              <td rowspan="1" colspan="1">—</td>
              <td rowspan="1" colspan="1">—</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">
                <italic>
                  <tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name>
                </italic>
              </td>
              <td rowspan="1" colspan="1">—</td>
              <td rowspan="1" colspan="1">—</td>
              <td rowspan="1" colspan="1">43.8–45.5</td>
              <td rowspan="1" colspan="1">46</td>
              <td rowspan="1" colspan="1">—</td>
              <td rowspan="1" colspan="1">—</td>
              <td rowspan="1" colspan="1">—</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">
                <xref ref-type="bibr" rid="B68">Pons et al. 2019a</xref>
              </td>
              <td rowspan="1" colspan="1">Southeast Atlantic</td>
              <td rowspan="1" colspan="1">
                <italic>
                  <tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name>
                </italic>
              </td>
              <td rowspan="1" colspan="1">—</td>
              <td rowspan="1" colspan="1">42</td>
              <td rowspan="1" colspan="1">86</td>
              <td rowspan="1" colspan="1">—</td>
              <td rowspan="1" colspan="1">—</td>
              <td rowspan="1" colspan="1">10</td>
              <td rowspan="1" colspan="1"><abbrev xlink:title="spawning potential ratio">SPR</abbrev> 0.13–0.27</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">
                <xref ref-type="bibr" rid="B69">Pons et al. 2019b</xref>
              </td>
              <td rowspan="1" colspan="1">Mediterranean</td>
              <td rowspan="1" colspan="1">
                <italic>
                  <tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name>
                </italic>
              </td>
              <td rowspan="1" colspan="1">—</td>
              <td rowspan="1" colspan="1">51</td>
              <td rowspan="1" colspan="1">117</td>
              <td rowspan="1" colspan="1">—</td>
              <td rowspan="1" colspan="1">—</td>
              <td rowspan="1" colspan="1">&gt;2</td>
              <td rowspan="1" colspan="1"><abbrev xlink:title="spawning potential ratio">SPR</abbrev> 0.62–0.66</td>
            </tr>
          </tbody>
        </table>
        <table-wrap-foot>
          <fn>
            <p><abbrev xlink:title="Fork length">FL</abbrev>, fork length; <abbrev xlink:title="spawning potential ratio">SPR</abbrev>, spawning potential ratio; <italic>t</italic><sub>0,</sub> theoretical zero-length age parameter, <italic>L</italic><sub>50</sub>, (the length at which 50% of individuals reach sexual maturity); <italic>L</italic><sub>∞</sub>, asymptotic length; <italic>L</italic><sub>max</sub>, maximum length recorded for the species during sampling; <italic>F/M</italic>, frequency of mature in catch, the proportion of sexually mature individuals in the total sampled catch; <italic>B</italic>/<italic>B</italic><sub>0</sub>, the fishing-to-natural mortality ratio (the relative biomass).</p>
          </fn>
        </table-wrap-foot>
      </table-wrap>
      <p>For <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic>, the warning signal is the significant capture of immature individuals. Around 42% of individuals caught are immature, which puts recruitment directly under pressure from fishing. This proportion is consistent with the observations of <xref ref-type="bibr" rid="B92">Zarrad and Missaoui (2016)</xref>, who reported an abundance of small individuals (&gt;32 cm) during the autumn and winter months in Tunisian waters. The size distribution is characterized by two peaks at 33 cm and 40 cm, spanning 18–44 cm. The observed modal class (33–41 cm) is consistent with the findings of <xref ref-type="bibr" rid="B38">Hattour (2009)</xref> and <xref ref-type="bibr" rid="B48">Kahraman et al. (2011)</xref> in the central and eastern Mediterranean, respectively (Table <xref ref-type="table" rid="T6">6</xref>). This range represented over 90% of the individuals studied by these authors. Our mean size of 35.1 cm is very close to the values reported by <xref ref-type="bibr" rid="B54">Lucena-Frédou et al. (2021)</xref> for the Mediterranean region during the period 2009–2019 (38 cm). Compared to published data from other Mediterranean areas (<xref ref-type="bibr" rid="B48">Kahraman et al. 2011</xref>; <xref ref-type="bibr" rid="B77">Saber et al. 2018</xref>), the observed sizes of <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> were similar. The presence of these juveniles, which grow rapidly during their first months (<xref ref-type="bibr" rid="B38">Hattour 2009</xref>), suggests that the recruitment peak is subject to fishing pressure (<xref ref-type="bibr" rid="B85">Valeiras et al. 2008</xref>; <xref ref-type="bibr" rid="B80">Sant’Ana et al. 2021b</xref>). The range of sizes at first maturity reported in the Mediterranean (32.5–36.5 cm; <xref ref-type="bibr" rid="B11">Bök and Oray 2001</xref>; <xref ref-type="bibr" rid="B48">Kahraman et al. 2011</xref>; <xref ref-type="bibr" rid="B66">Plandri et al. 2009</xref>; <xref ref-type="bibr" rid="B76">Saber et al. 2017</xref>) confirms that a significant proportion of our catches consists of immature and sub-adult (Table <xref ref-type="table" rid="T6">6</xref>). Contrary to the apparent stability observed at the Mediterranean scale (<xref ref-type="bibr" rid="B54">Lucena-Frédou et al. 2021</xref>), our results, considered alongside the national and regional literature, indicate significant temporal variability in size structure.</p>
      <p>Secondly, the variability in landings between years is more pronounced for <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> than for <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic>. This instability, characterized by peaks followed by sharp declines, suggests that <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">Auxis</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> depends on sporadic recruitment events and localized seasonal aggregations (<xref ref-type="bibr" rid="B85">Valeiras et al. 2008</xref>; <xref ref-type="bibr" rid="B80">Sant’Ana et al. 2021b</xref>). This makes it particularly vulnerable to fishing gear such as purse seines. This is consistent with the marked seasonality of landings (<xref ref-type="bibr" rid="B75">Sabatés and Recasens 2001</xref>) observed by <xref ref-type="bibr" rid="B92">Zarrad and Missaoui (2016)</xref> and <xref ref-type="bibr" rid="B38">Hattour (2009)</xref>. These authors indicate that, in Tunisia, catches are concentrated in spring and summer, with a significant proportion landed at Teboulba port. Such spatial and temporal concentration exacerbates vulnerability. The lower variability of <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> could indicate a stock structure that renders it more resilient to increased fishing pressure (<xref ref-type="bibr" rid="B1">Adams et al. 2018</xref>).</p>
      <p>Thirdly, the recent displacement of fishing effort linked to the bluefin tuna management has likely benefited the two species asymmetrically. The introduction of bluefin tuna quotas (<xref ref-type="bibr" rid="B22">Failler et al. 2025</xref>) has led to a shift in fishing efforts towards smaller tuna species, establishing <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> as a major substitute resource on a Mediterranean scale (<xref ref-type="bibr" rid="B79">Sant’Ana et al. 2021a</xref>; <xref ref-type="bibr" rid="B43">ICCAT 2025</xref>). Our data fit into this regional dynamic, with peaks in Tunisian production in 2016–2017 coinciding with maxima in the Mediterranean. In contrast, <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> does not appear to have benefited sustainably from this shift, as evidenced by the low catch levels between 2017 and 2021, which are consistent with <abbrev xlink:title="International Commission for the Conservation of Atlantic Tunas">ICCAT</abbrev> data (2025). This difference could reflect lower resilience (<xref ref-type="bibr" rid="B63">Ollé et al. 2019</xref>), a different ecology (<xref ref-type="bibr" rid="B85">Valeiras et al. 2008</xref>; <xref ref-type="bibr" rid="B48">Kahraman et al. 2011</xref>) involving more coastal areas that are less accessible to fleets that have shifted.</p>
      <p>Fourthly, there are differences in life history traits and biological parameters (<xref ref-type="bibr" rid="B79">Sant’Ana et al. 2021a</xref>; <xref ref-type="bibr" rid="B80">Sant’Ana et al. 2021b</xref>). Comparing our estimates with values from the literature provides essential context. For <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic>, our <abbrev xlink:title="Length-Based Bayesian Biomass">LBB</abbrev> estimate of <italic>L</italic><sub>max</sub> (118 cm; 95% <abbrev xlink:title="confidence interval">CI</abbrev>: 116–120 cm) is consistent with the Mediterranean reference value (117 cm; <xref ref-type="bibr" rid="B38">Hattour 2009</xref>; <xref ref-type="bibr" rid="B69">Pons et al. 2019b</xref>). A synthesis of estimates reveals significant biogeographic variability (Table <xref ref-type="table" rid="T6">6</xref>). In the Mediterranean, asymptotic lengths tend to be high (105–136 cm; <xref ref-type="bibr" rid="B47">Kahraman and Oray 2001</xref>; <xref ref-type="bibr" rid="B38">Hattour 2009</xref>; <xref ref-type="bibr" rid="B34">Hajjej et al. 2010</xref>; <xref ref-type="bibr" rid="B21">El-Haweet et al. 2013</xref>), reflecting the species’ significant growth potential (Table <xref ref-type="table" rid="T6">6</xref>). However, <italic>K</italic>-values tend to be low (0.106–0.322 yr<sup>–1</sup>), suggesting slower growth and greater longevity (<xref ref-type="bibr" rid="B79">Sant’Ana et al. 2021a</xref>). In the Atlantic, however, reported asymptotic lengths are generally lower (77.5–112 cm; <xref ref-type="bibr" rid="B2">Adams and Kerstetter 2014</xref>; <xref ref-type="bibr" rid="B88">Vieira et al. 2021</xref>), with higher <italic>K</italic>-values (0.690 yr<sup>–1</sup>) indicating faster growth and reduced asymptotic size (Table <xref ref-type="table" rid="T6">6</xref>). In theory, slower growth and greater longevity make <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> more susceptible to overexploitation, but potentially more resilient if spawners are protected. For <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic>, our <abbrev xlink:title="Length-Based Bayesian Biomass">LBB</abbrev> estimate of <italic>L</italic><sub>∞</sub> (48.6 cm; 95% <abbrev xlink:title="confidence interval">CI</abbrev>: 47.7–49.4 cm) falls within the range of existing Mediterranean values: 46.7 cm in Tunisia (<xref ref-type="bibr" rid="B38">Hattour 2009</xref>); 45.1–57.4 cm in Turkey (<xref ref-type="bibr" rid="B11">Bök and Oray 2001</xref>; <xref ref-type="bibr" rid="B48">Kahraman et al. 2011</xref>); and 43.8–45.5 cm in Spain (<xref ref-type="bibr" rid="B85">Valeiras et al. 2008</xref>). <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">Auxis</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> exhibits faster growth (<italic>K</italic> = 0.860 yr<sup>–1</sup>), but it matures early and has a short lifespan (<xref ref-type="bibr" rid="B80">Sant’Ana et al. 2021b</xref>). This makes it dependent on stable annual recruitment. The strong variability of this recruitment, coupled with high fishing pressure on juveniles, can explain its rapid collapse.</p>
      <p><bold>Robustness and sensitivity</bold>. The convergence of <abbrev xlink:title="Length-Based Bayesian Biomass">LBB</abbrev> and CMSY++ results for <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> is remarkable. Our <abbrev xlink:title="Length-Based Bayesian Biomass">LBB</abbrev> estimate of <italic>L</italic><sub>∞</sub> (118 cm) is similar to the value of 117 cm proposed by <xref ref-type="bibr" rid="B69">Pons et al. (2019b)</xref> in their Mediterranean synthesis and is consistent with previous Tunisian studies (105–117 cm, <xref ref-type="bibr" rid="B38">Hattour 2009</xref>; 130.8 cm for females, <xref ref-type="bibr" rid="B35">Hajjej et al. 2011</xref>). This cross-validation validates the quality of our length-frequency data and the reliability of other estimated parameters, notably the <italic>F</italic>/<italic>M</italic> ratio of 1.4. Regarding natural mortality, estimates for <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> in the Mediterranean vary: <xref ref-type="bibr" rid="B21">El-Haweet et al. (2013)</xref> obtained contrasting values of 0.392 and 0.167 yr<sup>–1</sup> using different methods (Table <xref ref-type="table" rid="T6">6</xref>). More recently, Pons et al. (<xref ref-type="bibr" rid="B68">2019a</xref>, <xref ref-type="bibr" rid="B69">2019b</xref>) applied various empirical methods and proposed a median value of 0.43 yr<sup>–1</sup> for the Mediterranean. Using this reference, we derive a fishing mortality of <italic>F</italic> = 0.60 yr<sup>–1</sup>, which is higher than the <italic>F</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub> value of 0.114 yr<sup>–1</sup> estimated by CMSY++, confirming the diagnosis of overfishing (Table <xref ref-type="table" rid="T6">6</xref>).</p>
      <p>For <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic>, <italic>L<sub>∞</sub></italic> estimated in GSA13 fall within the range of existing Mediterranean values, thus validating our data. However, the absence of a Mediterranean-specific estimate of natural mortality is the main gap in our knowledge. The only available references come from the Indian Ocean (<italic>M</italic> = 1.18–1.9 yr<sup>–1</sup>; <xref ref-type="bibr" rid="B44">Jasmine et al. 2013</xref>; <xref ref-type="bibr" rid="B83">Surya et al. 2023</xref>). If we apply a hypothetical value of <italic>M</italic> = 1.2–1.5 yr<sup>–1</sup>, the <italic>F</italic>/<italic>M</italic> ratio of 15 leads to a fishing mortality of <italic>F</italic> = 18–22.5 yr<sup>–1</sup>, which is unsustainable (Table <xref ref-type="table" rid="T6">6</xref>). Even with a lower <italic>M</italic>, the diagnosis of severe overexploitation would remain unchanged. Nevertheless, uncertainty in <italic>M</italic> affects the precision of reference points and justifies dedicated research (<xref ref-type="bibr" rid="B71">Punt et al. 2021</xref>). Regardless of which biologically plausible <italic>M</italic> estimate is used, the conclusion of overexploitation remains unchanged due to the magnitude of the <italic>F</italic>/<italic>M</italic> ratio.</p>
      <p>A retrospective CMSY++ analysis of <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> reveals sensitivity to recent data (2021–2022). Truncated analyses ending in 2019–2020 produce more optimistic diagnoses (<italic>B</italic>/<italic>B</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub> &gt; 1). This sensitivity reflects the difficulty of assessing highly depleted stocks with limited time series, and highlights the importance of continuous monitoring to stabilize estimates (<xref ref-type="bibr" rid="B45">Ji et al. 2019</xref>; <xref ref-type="bibr" rid="B3">Al-Mamun et al. 2022</xref>; <xref ref-type="bibr" rid="B61">Mili et al. 2026</xref>). Runs including the full time series (1996–2022) and runs ending in 2021 produced consistent estimates (<italic>B</italic>/<italic>B</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub>: 0.52–0.58; <italic>F</italic>/<italic>F</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub>: 1.20–1.35). In contrast, runs ending in 2020 and 2019 produced different results, with <italic>B</italic>/<italic>B</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub> exceeding 1.0 and <italic>F</italic>/<italic>F</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub> below 0.64. This suggests that recent catch dynamics (2021–2022) have substantially influenced the classification of the stock status. While estimates based on the full-time series are considered the most reliable, this retrospective uncertainty must be acknowledged.</p>
      <p>The sampling design employed in this study (48 surveys over nine months at the primary landing site, Teboulba) was specifically designed to capture the seasonal and inter-vessel variability in catch composition. However, two limitations should be acknowledged. First, sampling was restricted to a single year (2022), which may not capture interannual variability in recruitment and size structure. Second, sampling was conducted only at the landing site, precluding direct observation of at-sea and size selectivity. Nevertheless, the sample sizes are consistent with those reported in comparable data-limited studies in the Mediterranean (<xref ref-type="bibr" rid="B18">Demirel et al. 2020</xref>; <xref ref-type="bibr" rid="B50">Kılıç et al. 2023</xref>; <xref ref-type="bibr" rid="B60">Mili et al. 2025</xref>), and the narrow confidence intervals obtained for key parameters (Table <xref ref-type="table" rid="T4">4</xref>) support the adequacy of the sampling effort.</p>
      <p>Furthermore, the absence of a significant directional trend in the 27-year landings series for both species should not be interpreted as a sign of stability. In fact, it masks large multi-annual fluctuations (<xref ref-type="bibr" rid="B20">Dimarchopoulou et al. 2023</xref>), which, combined with the state of overexploitation highlighted, justify increased vigilance and the implementation of precautionary management measures.</p>
      <p><bold>Implications for management</bold>. Our results highlight the need for management measures specific to the biological characteristics and stock status of <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> and <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic>. Despite being exploited by the same purse-seine fleet, the two species exhibit markedly different demographic structures, exploitation patterns, and resilience, underscoring the need for species-specific management strategies (<xref ref-type="bibr" rid="B80">Sant’Ana et al. 2021b</xref>).</p>
      <p>According to the <abbrev xlink:title="International Commission for the Conservation of Atlantic Tunas">ICCAT</abbrev> recommendations (<xref ref-type="bibr" rid="B41">ICCAT 2018</xref>, <xref ref-type="bibr" rid="B42">2023</xref>), the situation for <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> appears critical and justifies strong and immediate measures. Fishing mortality exceeds sustainable levels, indicating the need for a reduction in fishing effort (<xref ref-type="bibr" rid="B36">Hall et al. 2017</xref>; <xref ref-type="bibr" rid="B84">Tidd et al. 2026</xref>) targeting small tuna in GSA13, potentially combined with explicit catch limits. Another priority is increasing the length at first capture from the current 27 cm to the optimal value (<italic>L</italic><sub>Copt</sub> = 34 cm). It is essential to protect the immature fraction, which currently represents around 42% of catches, as this segment of the stock is the most vulnerable. A seasonal closure during periods of high juvenile abundance, particularly in autumn and winter, as reported by <xref ref-type="bibr" rid="B92">Zarrad and Missaoui (2016)</xref>, would protect incoming cohorts before they contribute to reproduction. Finally, enhanced and systematic size monitoring at landing sites is necessary to detect any further deterioration.</p>
      <p>By contrast, the management priorities for <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> are different. The main concerns are the reduction in size and the rarity of large spawners. Protective measures targeting large individuals should be considered, such as implementing a maximum landing size (prohibiting the landing of specimens measuring more than 80 cm) and temporarily protecting spawning aggregation areas. These locations can be identified through the knowledge of fishers. Preserving large, highly fecund females is critical for stock resilience (<xref ref-type="bibr" rid="B6">Barneche et al. 2018</xref>). Increasing the length at first capture from 54 cm to the optimal value, <italic>L</italic><sub>Copt</sub> = 66 cm, would enable individuals to reach full maturity and contribute to stock renewal. This objective could be achieved by implementing temporal and spatial restrictions during key growth periods. It is important to note that the current low proportion of juveniles in catches is a relative strength and must be maintained by preventing any increase in fishing effort.</p>
      <p>Additionally, according to Tunisian legislation (<xref ref-type="bibr" rid="B46">JORT 1995</xref>), there are currently no specific regulations in place for these species. We therefore recommend establishing a minimum legal catch size corresponding to the optimal length estimated in this study: 34 cm for <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> and 66 cm for <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic>.</p>
      <p>Beyond species-specific measures, the pronounced interannual variability observed, particularly for <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> (see <xref ref-type="bibr" rid="B80">Sant’Ana et al. 2021b</xref>), highlights the necessity of continuous monitoring and adaptive management (<xref ref-type="bibr" rid="B55">Lyons et al. 2008</xref>). The absence of a clear long-term directional trend in landings should not be interpreted as stability; rather, it masks significant multi-annual fluctuations that justify a precautionary approach (<xref ref-type="bibr" rid="B39">Hixon et al. 2014</xref>; <xref ref-type="bibr" rid="B6">Barneche et al. 2018</xref>). The pronounced seasonality documented in Tunisia and the Mediterranean (<xref ref-type="bibr" rid="B79">Sant’Ana et al. 2021a</xref>; <xref ref-type="bibr" rid="B80">Sant’Ana et al. 2021b</xref>), particularly the concentration of landings at the port of Teboulba in spring and summer (<xref ref-type="bibr" rid="B38">Hattour 2009</xref>; <xref ref-type="bibr" rid="B92">Zarrad and Missaoui 2016</xref>), could exacerbate vulnerability if fishing effort becomes concentrated in space and time. Such dynamics reinforce the need for flexible, evidence-based management that can respond rapidly to variability in recruitment and stock fluctuations.</p>
      <p><bold>Perspectives</bold>. Several priority research areas have emerged to improve scientific knowledge and the effectiveness of management for <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> and <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> stocks.</p>
      <p>The first issue is the need to estimate natural mortality for <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> in the Mediterranean. The absence of a region-specific estimate is a significant source of uncertainty in stock assessments. Secondly, expanding the size-frequency monitoring over time and space is essential. Annual sampling should be extended to additional landing sites to capture spatial heterogeneity in exploitation patterns and recruitment pulses. Thirdly, integrating standardized fishing effort data is a priority. Systematically collecting catch per unit effort data from the purse seine fleet would enable a relative abundance index to be constructed, substantially improving the robustness of CMSY++ outputs.</p>
      <p>Further methodological development should include applying integrated data-limited models such as LIME (<xref ref-type="bibr" rid="B74">Rudd and Thorson 2018</xref>), which combine length-frequency data with catch time series. These approaches can reduce the bias inherent in models based on a single data source and provide more stable estimates of stock status.</p>
      <p>Finally, given the transboundary nature of these small tuna stocks, regional coordination is indispensable. Within the frameworks of the International Commission for the Conservation of Atlantic Tunas (<abbrev xlink:title="International Commission for the Conservation of Atlantic Tunas">ICCAT</abbrev>) and the General Fisheries Commission for the Mediterranean (<abbrev xlink:title="General Fisheries Commission for the Mediterranean">GFCM</abbrev>), harmonization of assessment methods and management measures would enhance coherence and effectiveness. Coordinated monitoring and shared reference points are essential to ensure sustainable exploitation on a Mediterranean scale.</p>
    </sec>
    <sec sec-type="Conclusion" id="sec5">
      <title>Conclusion</title>
      <p>This study provides the first quantitative stock assessment of <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">Euthynnus</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> and <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">Auxis</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> in the central Mediterranean (GSA 13), employing complementary data-limited methods (<abbrev xlink:title="Length-Based Bayesian Biomass">LBB</abbrev> and CMSY++). Our results reveal contrasting stock statuses for these sympatric species, which are exploited by the same purse seine fleet.</p>
      <p><italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">Auxis</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> is in a critical state: it is severely overfished (<italic>B</italic>/<italic>B</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub> = 0.21; 0.52), experiencing unsustainable fishing mortality (<italic>F</italic>/<italic>M</italic> = 15), and 42% of the catches are juveniles, which requires urgent intervention. By contrast, <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic> is overfished (<italic>B</italic>/<italic>B</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub> = 0.67; 0.75) and subject to overfishing (<italic>F</italic>/<italic>F</italic><sub><abbrev xlink:title="maximum sustainable yield">MSY</abbrev></sub> = 1.39); however, it has a healthier demographic structure, with low juvenile catch rates (2%), although large spawners (&gt;90 cm) are sporadic.</p>
      <p>Based on these findings, we recommend the following: for <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic>: increasing the length at first capture from 27 cm to the optimal 34 cm; reducing fishing effort; and for <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Euthynnus">E.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="alletteratus">alletteratus</tp:taxon-name-part></tp:taxon-name></italic>: protecting large spawners through maximum landing sizes (&gt;80 cm); and increasing the length at first capture from 54 cm to 66 cm. In the absence of specific regulations in Tunisian legislation (<xref ref-type="bibr" rid="B46">JORT 1995</xref>), we strongly advocate establishing minimum legal catch sizes corresponding to these optimal lengths.</p>
      <p>The pronounced interannual variability, particularly for <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic>, highlights the need for continuous monitoring and adaptive management. Future research should prioritize estimating natural mortality for <italic><tp:taxon-name><tp:taxon-name-part taxon-name-part-type="genus" reg="Auxis">A.</tp:taxon-name-part> <tp:taxon-name-part taxon-name-part-type="species" reg="rochei">rochei</tp:taxon-name-part></tp:taxon-name></italic> in the Mediterranean and fostering regional coordination within the <abbrev xlink:title="International Commission for the Conservation of Atlantic Tunas">ICCAT</abbrev> and <abbrev xlink:title="General Fisheries Commission for the Mediterranean">GFCM</abbrev> frameworks. By providing robust scientific baselines for GSA 13, this work supports regional initiatives for the sustainable management of these vulnerable yet vital transboundary resources.</p>
    </sec>
  </body>
  <back>
    <ack>
      <title>Acknowledgments</title>
      <p>This work is the result of a collaboration between the General Directorate of Fisheries and Aquaculture, the University of Carthage, the Faculty of Sciences of Bizerte, and Taif University. The authors would like to acknowledge the Deanship of Graduate Studies and Scientific Research, Taif University, for funding this work.</p>
    </ack>
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    <sec sec-type="Additional information" id="sec6">
      <title>Additional information</title>
      <sec sec-type="Conflict of interest" id="sec7">
        <title>Conflict of interest</title>
        <p>The authors have declared that no competing interests exist.</p>
      </sec>
      <sec sec-type="Ethical statement" id="sec8">
        <title>Ethical statement</title>
        <p>Field sampling was conducted in accordance with the permits and authorizations issued by the relevant Tunisian authorities (DGPA, Direction Générale de la Pêche et de l’Aquaculture). No specific ethical approval was required for this study, since the specimens were obtained from commercial fishery landings.</p>
      </sec>
      <sec sec-type="Artificial Intelligence (AI) use" id="sec9">
        <title>Artificial Intelligence (AI) use</title>
        <p>The authors accept full responsibility for the content of the manuscript, including the disclosure of any use of AI.</p>
        <p>No AI tools were used in the preparation of this manuscript.</p>
      </sec>
      <sec sec-type="Funding" id="sec10">
        <title>Funding</title>
        <p>The authors extend their appreciation to the Deanship of Graduate Studies and Scientific Research, Taif University for funding this work.</p>
      </sec>
      <sec sec-type="Author contributions" id="sec11">
        <title>Author contributions</title>
        <p>All authors have contributed equally.</p>
      </sec>
      <sec sec-type="Author ORCIDs" id="sec12">
        <title>Author ORCIDs</title>
        <p>S. Mili <ext-link xlink:href="https://orcid.org/0000-0002-2625-8064" ext-link-type="uri">https://orcid.org/0000-0002-2625-8064</ext-link></p>
        <p>R. Ennouri <ext-link xlink:href="https://orcid.org/0000-0002-7556-3874" ext-link-type="uri">https://orcid.org/0000-0002-7556-3874</ext-link></p>
        <p>S. Agrebi <ext-link xlink:href="https://orcid.org/0009-0001-7413-7339" ext-link-type="uri">https://orcid.org/0009-0001-7413-7339</ext-link></p>
        <p>M.M. Morsi <ext-link xlink:href="https://orcid.org/0000-0001-5802-6244" ext-link-type="uri">https://orcid.org/0000-0001-5802-6244</ext-link></p>
        <p>M. Ben Ali <ext-link xlink:href="https://orcid.org/0000-0002-0313-9687" ext-link-type="uri">https://orcid.org/0000-0002-0313-9687</ext-link></p>
      </sec>
      <sec sec-type="Data availability" id="sec13">
        <title>Data availability</title>
        <p>The datasets generated and/or analyzed during the current study are available from the corresponding author upon reasonable request.</p>
      </sec>
    </sec>
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</article>
