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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Mar. Sci.</journal-id>
<journal-title>Frontiers in Marine Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Mar. Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-7745</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fmars.2025.1524309</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Marine Science</subject>
<subj-group>
<subject>Methods</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Towards a more integrative paradigm in fisheries assessment: genetic reference points</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Seijas-D&#xed;az</surname>
<given-names>Iria</given-names>
</name>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
<role content-type="https://credit.niso.org/contributor-roles/validation/"/>
<role content-type="https://credit.niso.org/contributor-roles/visualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Presa</surname>
<given-names>Pablo</given-names>
</name>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/432375/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/>
<role content-type="https://credit.niso.org/contributor-roles/funding-acquisition/"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
<role content-type="https://credit.niso.org/contributor-roles/project-administration/"/>
<role content-type="https://credit.niso.org/contributor-roles/resources/"/>
<role content-type="https://credit.niso.org/contributor-roles/validation/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
</contrib-group>
<aff id="aff1">
<institution>Laboratory of Marine Genetic Resources (ReXenMar), Centro de Investigaci&#xf3;n Mari&#xf1;a (CIM)-Universidade de Vigo</institution>, <addr-line>Vigo</addr-line>, <country>Spain</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/244483/overview">David Seth Portnoy</ext-link>, Texas A&amp;M University Corpus Christi, United States</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/154696/overview">Alice Ferrari</ext-link>, University of Bologna, Italy</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/771861/overview">Natalia Lam</ext-link>, University of Chile, Chile</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1719359/overview">Angka Mahardini</ext-link>, Universitas Muhammadiyah Semarang, Indonesia</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Pablo Presa, <email xlink:href="mailto:pressa@uvigo.gal">pressa@uvigo.gal</email>
</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>11</day>
<month>09</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>12</volume>
<elocation-id>1524309</elocation-id>
<history>
<date date-type="received">
<day>07</day>
<month>11</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>08</day>
<month>08</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Seijas-D&#xed;az and Presa.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Seijas-D&#xed;az and Presa</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>Fishery management decisions based solely on demographic models risk unintended and detrimental socio-economic consequences. Integrating biologically relevant metrics into stock assessments is crucial for sustainability amidst anthropogenic and environmental stressors (e.g., invasions, overfishing, pollution, global ocean change). In this work the authors aim to develop Genetic Reference Points (GRPs) for monitoring and evaluating the genetic status of fisheries which are patently absent from the official assessment. Complementary to demographic metrics, incorporating genetic analogs such as the Basal Genetic Reference Point (BGRP), the Target Genetic Reference Point (TGRP), the Limit Genetic Reference Point (LGRP), the trigger Genetic Reference Point (tGRP), and Genetic Structural Reference Point (GSRP) is now a viable approach. Using long-term genetic data series of the European hake, <italic>Merluccius merluccius</italic>, we show that current GRPs can significantly contribute to quantify a critical biological dimension across spatial (metapopulation structure) and temporal (evolution of genetic background under exploitation) scales. Therefore, we propose the systematic monitoring of spatiotemporal genetic diversity in other fisheries using established metrics such as the effective size (<italic>N<sub>e</sub>
</italic>&#x200b;) and novel metrics, e.g., <italic>Z_LDN<sub>e</sub>
</italic>&#x200b;, <italic>D</italic>_<italic>LDN<sub>e</sub>
</italic> and a Genetic Resilience Index (<italic>GRI</italic>) which relates the amount of change in <italic>N<sub>e</sub>
</italic> between fishery moments. We advocate for an interdisciplinary effort to integrate GRPs into algorithms and analytical models to enhance their predictive capacity in assessing the comprehensive biological status of exploited fisheries. Establishing robust GRPs at defined historical baselines, following a systematic roadmap, would provide future generations with scientifically sound criteria to assess genetic over fishing and to implement rebuilding strategies where appropriate.</p>
</abstract>
<kwd-group>
<kwd>effective genetic mortality (<italic>Z</italic>_<italic>LDN<sub>e</sub>
</italic>)</kwd>
<kwd>effective number of genetic deaths (<italic>D</italic>_<italic>LDN<sub>e</sub>
</italic>)</kwd>
<kwd>European hake</kwd>
<kwd>fishery assessment</kwd>
<kwd>genetic resilience index (<italic>GRI</italic>)</kwd>
<kwd>genetic reference points (GRPs)</kwd>
<kwd>GRPs implementation roadmap</kwd>
</kwd-group>
<contract-sponsor id="cn001">Ministerio de Ciencia e Innovaci&#xf3;n<named-content content-type="fundref-id">10.13039/501100004837</named-content>
</contract-sponsor>
<contract-sponsor id="cn002">European Commission<named-content content-type="fundref-id">10.13039/501100000780</named-content>
</contract-sponsor>
<counts>
<fig-count count="5"/>
<table-count count="2"/>
<equation-count count="6"/>
<ref-count count="58"/>
<page-count count="13"/>
<word-count count="6716"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Marine Fisheries, Aquaculture and Living Resources</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>Fisheries assessment is essential for management of industrialized fisheries, as it promotes the economic and social sustainability by providing scientific support for the adoption of corrective management measures and the improvement of fisheries legislation. Fisheries data to estimate species abundance and spatial distribution come from two sources: indirect data from the fishing industry and on-board observer programs (e.g., discards, landings, location, and fishing effort), and direct scientific surveys conducted by research vessels using standardized methods (trawl, acoustic, or tagging surveys) (e.g., <xref ref-type="bibr" rid="B35">Pinello et&#xa0;al., 2017</xref>). Fisheries data feeding the assessment allows for the calculation of fish demographic structure in terms of age and size, reproductive rates, mortality rates, and other biological parameters. Those metrics are limited by uncertainties in natural mortality, recruitment estimates, catch statistics, and the impact of illegal, unreported, and unregulated (IUU) fishing (e.g., <xref ref-type="bibr" rid="B6">Cisneros-Montemayor et&#xa0;al., 2013</xref>).</p>
<p>Beyond that, the statistical modeling of population size allows for biomass projections under different fishing scenarios. Demographic metrics are employed for assessing fishing pressure, fishery status, and potential yield and fishery reference points (FRPs) based on them are crucial pillars for defining sustainable fisheries management objectives (<xref ref-type="bibr" rid="B22">ICES, 2021</xref>). These FRPs, derived from stock assessment models analyzing biological, fishing, and environmental data, serve as benchmarks to evaluate a fishery&#x2019;s condition relative to desired states, guiding precautionary management (e.g., <xref ref-type="bibr" rid="B5">Caddy and Mahon, 1995</xref>). For instance, Target Reference Points (TRPs) represent optimal states for long-term sustainability and high yields (e.g., <italic>B<sub>MSY</sub>
</italic>, <italic>F<sub>MSY</sub>
</italic>), aiming for management to maintain fisheries around these levels. Conversely, Limit Reference Points (LRPs) indicate critical thresholds that should be avoided to prevent stock impairment (e.g., <italic>B<sub>lim</sub>
</italic>, <italic>F<sub>lim</sub>
</italic>), triggering pre-defined management responses if breached. Triggering Reference Points (tRPs) act as early warning signals, prompting management action to prevent reaching undesirable fishing thresholds.</p>
<p>While fishery reference points (FRPs) are crucial biological referents for informed fisheries management, their primary reliance on demographic data oversimplify the complex ecological dynamics of fisheries, e.g. trophic relationships, abiotic variability (ocean currents, temperature, pollution, salinity) and spatial heterogeneity which patently influence fish recruitment, growth, mortality, and distribution (e.g., <xref ref-type="bibr" rid="B31">Nande et&#xa0;al., 2024</xref>). Altogether, those data constraints can undermine the reliability of stock assessments potentially leading to overestimation and mask localized depletion even when overall population metrics suggest a healthy stock (e.g., <xref ref-type="bibr" rid="B47">Siple and Litz, 2021</xref>).</p>
<p>Genetic diversity is crucial for a population&#x2019;s adaptive capacity, resilience, and recovery from stressors like fishing, yet its absence in current fishery assessment models prevents the evaluation of selective pressures on specific stock segments that can alter life-history traits. Integrating genetic data can enhance our understanding of population dynamics, productivity, and long-term sustainability beyond biomass estimates (e.g., <xref ref-type="bibr" rid="B2">Bertola et&#xa0;al., 2024</xref>). Advocates propose incorporating genetic diversity metrics into stock assessments and management to ensure sufficient genetic variation for the sustained productivity of commercial fisheries (e.g., <xref ref-type="bibr" rid="B28">Laikre et&#xa0;al., 2010</xref>). That genetic approach aims to build resilience against environmental change, including the genetic erosion caused by overfishing i.e., higher genetic diversity increases the probability of survival and reproduction under changing environmental conditions (temperature, acidification, salinity) and resistance to diseases and parasites (<xref ref-type="bibr" rid="B16">Gibson and Nguyen, 2021</xref>); conversely, low genetic diversity increases vulnerability to mass mortality and extinction risk linked to genetic factors (<xref ref-type="bibr" rid="B50">Spielman et&#xa0;al., 2004</xref>) Also, maintaining genetic diversity helps prevent inbreeding depression, which can reduce reproductive success and offspring survival, particularly in isolated or overexploited populations (<xref ref-type="bibr" rid="B25">Kardos et&#xa0;al., 2023</xref>). Continuous monitoring of genetic diversity can also reveal shifts in spatial population structure and connectivity as a key information for effective management that avoids treating genetically distinct populations as a single unit, thereby preventing the overexploitation of less resilient ones (e.g., <xref ref-type="bibr" rid="B1">Allendorf et&#xa0;al., 2014</xref>).</p>
<p>Genetic diversity (GD) can be quantified using various molecular markers that assess genomic variability. These include 10&#x2013;30 microsatellite markers on 25&#x2013;30 specimens per population (e.g., <xref ref-type="bibr" rid="B4">Blouin, 2003</xref>; <xref ref-type="bibr" rid="B17">Hale et&#xa0;al., 2012</xref>), which are effective for population structure analysis, paternity assessment, and bottleneck detection; 100&#x2013;200 single nucleotide polymorphisms (SNPs) (<xref ref-type="bibr" rid="B54">Weir et&#xa0;al., 2006</xref>) on 50&#x2013;100 specimens (see <xref ref-type="bibr" rid="B32">Nazareno et&#xa0;al., 2017</xref>) as valuable markers for fine-scale population structure, and genome-wide association studies (GWAS). While a theoretical number of markers and samples may be proposed, it is important to note that it should be increased by an order of magnitude to achieve precise <italic>N<sub>e</sub>
</italic>&#x200b; estimates with finite bounds, a factor of particular importance for most marine fish species exhibiting large <italic>N<sub>SSB</sub>
</italic>&#x200b;. Mitochondrial DNA (mtDNA) markers as useful for phylogeographic studies, historical demographic inference, and maternal lineage identification; expressed sequence-derived markers (EST), which provide insights into the genetic diversity of functionally relevant genes; and high-throughput sequencing (HTS) methodologies. Namely NGS, encompassing techniques like whole-genome sequencing (WGS), reduced representation sequencing (e.g., RAD-seq), and targeted capture sequencing, enables the simultaneous sequencing of numerous DNA fragments, facilitating cost-effective and high-resolution analysis of extensive genetic markers (e.g., SNPs, microsatellites) across multiple individuals within a fishery. The selection of specific metrics and markers is contingent upon the research objectives (e.g., <xref ref-type="bibr" rid="B37">Pita et&#xa0;al., 2022</xref>); often, an integrated approach employing a combination of different markers and metrics yields the most comprehensive evaluation of the genetic status of commercial fisheries (e.g., <xref ref-type="bibr" rid="B8">Cu&#xe9;llar-Pinz&#xf3;n et&#xa0;al., 2016</xref>).</p>
<p>Several metrics are employed for the genetic assessment of fisheries, providing insights into genetic diversity, population structure, and evolutionary dynamics. Allelic richness (<italic>A</italic>r&#x200b;) is often standardized for sample size variations across populations (<xref ref-type="bibr" rid="B10">El Mousadik and Petit, 1996</xref>); Heterozygosity (<italic>H</italic>) serves as a robust indicator of potential genome diversity (e.g., <xref ref-type="bibr" rid="B3">Blanco et&#xa0;al., 1998</xref>). For instance, selective fishing can lead to a reduction in allelic richness by removing specific genotypes or family lineages, and a decrease in heterozygosity by altering the proportion of heterozygous individuals (<xref ref-type="bibr" rid="B43">Sadler et&#xa0;al., 2023</xref>). The inbreeding coefficient (<italic>F</italic>
<sub>IT</sub>) quantifies the reduction in heterozygosity within a fishery due to non-random mating, i.e. it considers both the inbreeding within subpopulations and the effects of population subdivision (<xref ref-type="bibr" rid="B55">Wright, 1922</xref>). The population effective genetic size (<italic>N<sub>e</sub>
</italic>&#x200b;, <xref ref-type="bibr" rid="B56">Wright, 1931</xref>) is a theoretical parameter which reflects a population&#x2019;s vulnerability upon its gene diversity, i.e., a low <italic>N<sub>e</sub>
</italic> &#x200b; indicating a higher risk of genetic diversity loss via drift. Fishing often disproportionately removes larger, older individuals, potentially accelerating the decline in <italic>N<sub>e</sub>
</italic> beyond census size reductions, thereby increasing genetic drift and inbreeding. The genetic structural integrity of fisheries is also a relevant pattern to control, which necessitates multivariate analyses robust to migration, alongside annual hierarchical assessments of spatial density and inter-population connectivity (e.g., <xref ref-type="bibr" rid="B36">Pita et&#xa0;al., 2016a</xref>). Fishing-induced alterations in age structure and spatial distribution can modify gene flow, leading to increased genetic differentiation or reduced connectivity. Current metrics for assessing this structure include the number of migrants (<italic>Nm</italic>&#x200b;) which estimates gene flow and connectivity between populations, and heterozygote-based genetic distances, such as the fixation index (<italic>F</italic>
<sub>ST</sub>, <xref ref-type="bibr" rid="B56">Wright, 1931</xref>) which quantifies heterozygosity reduction due to population subdivision and informs about gene flow restrictions based on allele or trait frequencies (e.g., Cavalli-Sforza and Edwards chord distance for microsatellites or <italic>p</italic>-distance for DNA sequences).</p>
<p>While fishery demography provides a fundamental scientific basis for assessment, it is insufficient to resolve uncertainties such as recruitment failure, fishery collapse, or resilience to overfishing (e.g., <xref ref-type="bibr" rid="B30">Myers et&#xa0;al., 1997</xref>). A more holistic, medium-term approach integrating analytical models enriched with biological parameters like genetic metrics is necessary for enhanced fisheries foresight. Also, crucial unresolved questions on commercial fisheries include quantifying the extent of genetic erosion after decades of exploitation, the rate of genetic diversity loss relative to spawning stock biomass (<italic>N<sub>SSB</sub>
</italic>), and its implications for fishery resilience. In this regard, the objective of this study is to investigate novel genetic metrics for their potential applicability in fisheries genetic assessment, to define basic genetic reference points (GRPs) along with their prospective threshold values in the European hake as case study, and to propose a preliminary roadmap for GRPs implementation.</p>
</sec>
<sec id="s2">
<label>2</label>
<title>Methodology</title>
<p>A glossary (<xref ref-type="table" rid="T1">
<bold>Table 1</bold>
</xref>) provides clarification of the acronyms used throughout this study to improve clarity and facilitate understanding.</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Glossary of acronyms employed in this study.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left">Acronym</th>
<th valign="top" align="left">Concept</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">BGRP</td>
<td valign="top" align="left">Basal Genetic Reference Point</td>
</tr>
<tr>
<td valign="top" align="left">
<italic>B<sub>lim</sub>
</italic>
</td>
<td valign="top" align="left">Biomass level for impaired reproduction</td>
</tr>
<tr>
<td valign="top" align="left">
<italic>B<sub>MSY</sub>
</italic>
</td>
<td valign="top" align="left">Biomass at maximum sustainable yield</td>
</tr>
<tr>
<td valign="top" align="left">
<italic>D</italic>_<italic>LDN<sub>e</sub>
</italic>
</td>
<td valign="top" align="left">Effective number of genetic deaths</td>
</tr>
<tr>
<td valign="top" align="left">
<italic>F</italic>
<sub>IT</sub>
</td>
<td valign="top" align="left">Metapopulation inbreeding coefficient</td>
</tr>
<tr>
<td valign="top" align="left">
<italic>F<sub>lim</sub>
</italic>
</td>
<td valign="top" align="left">Upper limit for fishing mortality</td>
</tr>
<tr>
<td valign="top" align="left">
<italic>F<sub>MSY</sub>
</italic>
</td>
<td valign="top" align="left">Fishing mortality at Maximum Sustainable Yield</td>
</tr>
<tr>
<td valign="top" align="left">FRPs</td>
<td valign="top" align="left">Fishery Reference Points</td>
</tr>
<tr>
<td valign="top" align="left">
<italic>F</italic>
<sub>ST</sub>
</td>
<td valign="top" align="left">Fixation index between subpopulations</td>
</tr>
<tr>
<td valign="top" align="left">GD</td>
<td valign="top" align="left">Gene diversity</td>
</tr>
<tr>
<td valign="top" align="left">
<italic>GRI</italic>
</td>
<td valign="top" align="left">Genetic Resilience Index</td>
</tr>
<tr>
<td valign="top" align="left">GRPs</td>
<td valign="top" align="left">Genetic Reference Points</td>
</tr>
<tr>
<td valign="top" align="left">GSRP</td>
<td valign="top" align="left">Genetic Structural Reference Point</td>
</tr>
<tr>
<td valign="top" align="left">GWAS</td>
<td valign="top" align="left">Genome-Wide Association Studies</td>
</tr>
<tr>
<td valign="top" align="left">
<italic>H</italic>
</td>
<td valign="top" align="left">Heterozygosity</td>
</tr>
<tr>
<td valign="top" align="left">HTS</td>
<td valign="top" align="left">High-Throughput Sequencing</td>
</tr>
<tr>
<td valign="top" align="left">IUU</td>
<td valign="top" align="left">Illegal, Unreported, and Unregulated fishing</td>
</tr>
<tr>
<td valign="top" align="left">
<italic>LDN<sub>e</sub>
</italic>
</td>
<td valign="top" align="left">Effective population size upon linkage disequilibrium</td>
</tr>
<tr>
<td valign="top" align="left">LGRP</td>
<td valign="top" align="left">Limit Genetic Reference Point</td>
</tr>
<tr>
<td valign="top" align="left">LRPs</td>
<td valign="top" align="left">Limit Reference Points</td>
</tr>
<tr>
<td valign="top" align="left">MSY</td>
<td valign="top" align="left">Indefinite fishery catch maintaining sustainability</td>
</tr>
<tr>
<td valign="top" align="left">MVP</td>
<td valign="top" align="left">Minimum Viable Population</td>
</tr>
<tr>
<td valign="top" align="left">NGS</td>
<td valign="top" align="left">Next-Generation Sequencing</td>
</tr>
<tr>
<td valign="top" align="left">
<italic>N<sub>SSB</sub>
</italic>
</td>
<td valign="top" align="left">Spawning Stock Biomass</td>
</tr>
<tr>
<td valign="top" align="left">PVA</td>
<td valign="top" align="left">Population Viability Analysis</td>
</tr>
<tr>
<td valign="top" align="left">RAD-seq</td>
<td valign="top" align="left">Restriction-site Associated DNA sequencing</td>
</tr>
<tr>
<td valign="top" align="left">SNPs</td>
<td valign="top" align="left">Single Nucleotide Polymorphisms</td>
</tr>
<tr>
<td valign="top" align="left">TGRP</td>
<td valign="top" align="left">Target Genetic Reference Point</td>
</tr>
<tr>
<td valign="top" align="left">tGRP</td>
<td valign="top" align="left">Trigger Genetic Reference Point</td>
</tr>
<tr>
<td valign="top" align="left">TRPs</td>
<td valign="top" align="left">Target Reference Points</td>
</tr>
<tr>
<td valign="top" align="left">WGS</td>
<td valign="top" align="left">Whole-Genome Sequencing</td>
</tr>
<tr>
<td valign="top" align="left">
<italic>Z_LDN<sub>e</sub>
</italic>
</td>
<td valign="top" align="left">Effective population mortality</td>
</tr>
<tr>
<td valign="top" align="left">
<italic>Z_N<sub>SSB</sub>
</italic>
</td>
<td valign="top" align="left">Population demographic mortality</td>
</tr>
<tr>
<td valign="top" align="left">
<italic>D_N<sub>SSB</sub>
</italic>
</td>
<td valign="top" align="left">Number of demographic deaths</td>
</tr>
</tbody>
</table>
</table-wrap>
<sec id="s2_1">
<label>2.1</label>
<title>Candidate metrics for genetic diversity</title>
<p>Recent studies are fueling relevant genetic diversity metrics and protocols (e.g., <xref ref-type="bibr" rid="B20">Hoban et&#xa0;al., 2023</xref>; <xref ref-type="bibr" rid="B7">Clarke et&#xa0;al., 2024</xref>). Candidate parameters for implementing genetic reference points (GRPs) should be reliable indicators of population genetic diversity for intergeneration comparisons. The population genetic effective size <italic>N</italic>
<sub>e</sub>&#x200b; is a parameter representing the theoretical minimum number of spawners (but not a rate of genetic change) of an idealized population whose random mating would yield the observed genetic diversity of the actual fishery. To effectively assess the impact of genetic drift, both fishing-induced and stochastic, the effective population size (<italic>N<sub>e</sub>
</italic>) should first be normalized within a species. This normalization characterizes the species maximum genetic resilience and allows for the long-term tracking of changes in its adaptive potential. (e.g., <xref ref-type="bibr" rid="B27">Keller et&#xa0;al., 1994</xref>). The strength of comprehensive scores of <italic>N<sub>e</sub>
</italic>&#x200b; or <italic>N<sub>e</sub>
</italic>&#x200b;/<italic>N</italic>
<sub>SSB</sub> lies primarily in assessing past population dynamics and current fishery genetic status. However, their standardization to predict fisheries genetic architecture is challenging, and likely requires advanced AI models capable of integrating historical <italic>N<sub>e</sub>
</italic> or <italic>N<sub>e</sub>
</italic>&#x200b;/<italic>N<sub>SSB</sub>
</italic> trends, species reproductive dynamics, and ecological/demographic factors (<xref ref-type="bibr" rid="B53">Waples, 2024</xref>).</p>
<p>The population effective genetic mortality rate (<italic>Ze</italic>&#x200b; or <italic>Z_<sub>LDNe</sub>
</italic>&#x200b;), derived from historical genetic data of European hake (<italic>Merluccius merluccius</italic>), quantifies the instantaneous reduction in allele frequency dispersion due to genetic drift (<xref ref-type="bibr" rid="B12">Fern&#xe1;ndez-M&#xed;guez et&#xa0;al., 2023</xref>). Thus, <italic>Z<sub>e</sub>
</italic>&#x200b; measures the rate of effective population size (<italic>N<sub>e</sub>
</italic>&#x200b;) decline driven by fishing pressure. This transcends demographic mortality by focusing on the genetic consequences of removals, including fishing-induced selection favoring certain genetic variants. <xref ref-type="bibr" rid="B12">Fern&#xe1;ndez-M&#xed;guez et&#xa0;al. (2023)</xref> demonstrated a direct computation of <italic>Z_LDN<sub>e</sub>
</italic>&#x200b; between two infinitesimal <italic>LDN<sub>e</sub>
</italic>&#x200b; moments provided estimates of <italic>N<sub>e</sub>
</italic>&#x200b; are available at an initial (<italic>t</italic>
<sub>0</sub>&#x200b;) and at a subsequent (<italic>t</italic>) time point (<xref ref-type="disp-formula" rid="eq1">Equation 1</xref>), i.e.</p>
<disp-formula id="eq1">
<label>(1)</label>
<mml:math display="block" id="M1">
<mml:mrow>
<mml:msub>
<mml:mi>Z</mml:mi>
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>D</mml:mi>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mi>e</mml:mi>
</mml:msub>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>L</mml:mi>
<mml:mi>n</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mfrac bevelled="true">
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>D</mml:mi>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mrow>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>D</mml:mi>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mrow>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#xa0;</mml:mo>
</mml:mrow>
</mml:math>
</disp-formula>
<p>The effective number of genetic deaths <inline-formula>
<mml:math display="inline" id="im1">
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>D</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi>L</mml:mi>
<mml:mi>D</mml:mi>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mrow>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:msub>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> is a parameter to estimate the reduction in the effective size <italic>LDN<sub>e</sub>
</italic> in period <italic>t</italic> (<xref ref-type="disp-formula" rid="eq2">Equation 2</xref>) and can be put as,</p>
<disp-formula id="eq2">
<label>(2)</label>
<mml:math display="block" id="M2">
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mo>_</mml:mo>
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>D</mml:mi>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mrow>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:mi>L</mml:mi>
<mml:mi>D</mml:mi>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mrow>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>L</mml:mi>
<mml:mi>D</mml:mi>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mrow>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</disp-formula>
<p>the substitution of  <xref ref-type="disp-formula" rid="eq1">Equation 1</xref> in <xref ref-type="disp-formula" rid="eq2">Equation 2</xref> allows to afford the effective number of genetic deaths <inline-formula>
<mml:math display="inline" id="im2">
<mml:mrow>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>D</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi>L</mml:mi>
<mml:mi>D</mml:mi>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mrow>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (<xref ref-type="disp-formula" rid="eq3">Equation 3</xref>) as follows:</p>
<disp-formula id="eq3">
<label>(3)</label>
<mml:math display="block" id="M3">
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi>L</mml:mi>
<mml:mi>D</mml:mi>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mrow>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mi>L</mml:mi>
<mml:mi>D</mml:mi>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mrow>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>L</mml:mi>
<mml:mi>D</mml:mi>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mrow>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msup>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>Z</mml:mi>
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>D</mml:mi>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mi>e</mml:mi>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="eq4">
<label>(4)</label>
<mml:math display="block" id="M4">
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi>L</mml:mi>
<mml:mi>D</mml:mi>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mrow>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mi>L</mml:mi>
<mml:mi>D</mml:mi>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mrow>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:msub>
<mml:mo>&#xa0;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:msup>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>Z</mml:mi>
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>D</mml:mi>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mi>e</mml:mi>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<p>Similarly, the reduction in the reproductive census size <italic>N<sub>SSB</sub>
</italic> in a period <italic>t</italic> can be put (<xref ref-type="disp-formula" rid="eq5">Equation 5</xref>) as,</p>
<disp-formula id="eq5">
<label>(5)</label>
<mml:math display="block" id="M5">
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mo>_</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>S</mml:mi>
<mml:msub>
<mml:mi>B</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>S</mml:mi>
<mml:msub>
<mml:mi>B</mml:mi>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:msup>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mrow>
<mml:mi>Z</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:mrow>
</mml:msup>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</disp-formula>
<p>A way to express the number of genetic deaths (<inline-formula>
<mml:math display="inline" id="im3">
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi>L</mml:mi>
<mml:mi>D</mml:mi>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mrow>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>) relative to the initial population effective size <inline-formula>
<mml:math display="inline" id="im4">
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>D</mml:mi>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mrow>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <italic>i.e.</italic>, the proportion of <italic>N<sub>e</sub>
</italic> eroded at an effective post harvesting mortality rate <italic>Z_LDN<sub>e<sub>t</sub>
</sub>
</italic>, is through the Genetic Resilience Index (<italic>GRI</italic>) as deduced after <xref ref-type="disp-formula" rid="eq4">Equation 4</xref>, <italic>i.e.</italic>,</p>
<disp-formula id="eq6">
<label>(6)</label>
<mml:math display="block" id="M6">
<mml:mrow>
<mml:mi>G</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>I</mml:mi>
<mml:mo>=</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mfrac bevelled="true">
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi>L</mml:mi>
<mml:mi>D</mml:mi>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mrow>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>D</mml:mi>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mrow>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:msup>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>Z</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi>L</mml:mi>
<mml:mi>D</mml:mi>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mtext mathvariant="italic">e</mml:mtext>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msup>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:math>
</disp-formula>
<p>This Genetic Resilience Index (<italic>GRI</italic>) quantifies the proportional reduction in effective genetic size relative to the initial effective genetic size over a period <italic>t</italic>, effectively representing the net change in (<italic>LDN<sub>e</sub>
</italic>&#x200b;) between two moments of the fishery. The expected behavior of the <italic>GRI</italic> was simulated according to expression 1 by varying <italic>Z_LDN<sub>e</sub>
</italic>&#x200b; in the range [-20, 50] and initializing <italic>LDN<sub>e</sub>
</italic> in the range [0.001, 10] x 10<sup>6</sup>. Furthermore, the simulated behavior of <italic>GRI</italic> was modeled using expression [6], by randomizing <italic>Z_LDN<sub>e</sub>
</italic>&#x200b; within 21 deciles (1-210)% in the <italic>Z_LDN<sub>e</sub>
</italic>&#x200b; range [-1, 10] using an excel spreadsheet.</p>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>Candidate genetic reference points</title>
<p>Genetic Reference Points (GRPs) are benchmark values of genetic indicators used to assess a fish stock&#x2019;s genetic status and to guide management for maintaining or restoring its genetic diversity and adaptive potential. GRPs aim to prevent anthropogenic activities from eroding genetic diversity crucial for long-term population viability, encompassing adaptive responses to stressors, disease resistance, and sustained productivity (e.g., <xref ref-type="bibr" rid="B16">Gibson and Nguyen, 2021</xref>). GRPs aim to capture critical aspects of a population&#x2019;s genetic status relevant to long-term persistence, quantified by genetic metrics (e.g., <italic>N<sub>e</sub>
</italic>&#x200b;), metapopulation structure (e.g., <italic>F</italic>
<sub>ST</sub>&#x200b;), and other parameters. Thus, GRP-based assessments can inform management interventions like adjusting fishing pressure, implementing genetically informed stock enhancement, or managing habitat connectivity. Analogous to biological FRPs (e.g., <italic>B<sub>MSY</sub>&#x200b;</italic> or <italic>F<sub>lim</sub>
</italic>&#x200b;), genetic diversity-based Target Genetic Reference Points (TGRPs) specify optimal genetic status to avoid rare allele loss, maintain genome-wide diversity (e.g., Allelic Richness), retain adaptive variation, and limit the global inbreeding (<italic>F</italic>
<sub>IT</sub>&#x200b;). The theoretical genetic diversity spectrum ranges from zero to the <italic>N<sub>SSB</sub>
</italic>-dependent maximal evolutionary diversity, representing maximum genetic resilience. Also, maintaining metapopulation structure, i.e., a minimum gene flow (<italic>Nm</italic>&#x200b;) or acceptable levels of genetic differentiation (<italic>F</italic>
<sub>ST</sub>) can be another crucial TGRP. Limit Genetic Reference Points (LGRPs) establish thresholds not to be exceeded to prevent genetic degradation (e.g., minimum <italic>N<sub>e</sub>
</italic>&#x200b;). The following GRPs are based on demographic analogs and the historical genetics of southern European hake, and provide an example of guidelines dependent on each species genetic status and its metapopulation structure.</p>
<sec id="s2_2_1">
<label>2.2.1</label>
<title>Basal genetic reference point</title>
<p>BGRP represents the inherent genetic identity of a stock as determined by its initial gene diversity assessment. This foundational genetic composition serves as the reference baseline for subsequent comparisons. BGRP reflects the total genetic diversity (GD) harbored by the reproductive biomass (<italic>N<sub>SSB</sub>
</italic>) of either a pristine stock (stock category 1, see <xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>) or that of a fishery assessed for the first time (stock category 2). Consequently, BGRP is a function of weight-at-age, maturity-at-age, and natural mortality, and should be an intrinsic property of any age-structured model.</p>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Putative general roadmap to establish species-specific GRPs on relevant fisheries of conservation concern.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left">Research query</th>
<th valign="middle" align="center">Task</th>
<th valign="middle" align="center">Outcome</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">1.&#x2003;Fishery categories 1 or 2</td>
<td valign="middle" align="left">Exploration of biological background material</td>
<td valign="middle" align="left">Historical baseline data setting the initial reference point</td>
</tr>
<tr>
<td valign="middle" align="left">2.&#x2003;Genetic tools</td>
<td valign="middle" align="left">DNA extraction, HTS sequencing and SNP characterization</td>
<td valign="middle" align="left">Baseline genetic tools to score GD in the fishery</td>
</tr>
<tr>
<td valign="middle" align="left">3.&#x2003;Basal GRPs setting</td>
<td valign="middle" align="left">Genotyping, and basal scores of genetic diversity</td>
<td valign="middle" align="left">Historical background values of specific BGRP and GSRP</td>
</tr>
<tr>
<td valign="middle" align="left">4.&#x2003;Genetic monitoring</td>
<td valign="middle" align="left">Interannual genetic data acquisition</td>
<td valign="middle" align="left">Regular data acquisition and testing GD targets (TGRP) and limits (tGRP &amp; LGRP)</td>
</tr>
<tr>
<td valign="middle" align="left">5.&#x2003;GRPs validation</td>
<td valign="middle" align="left">Modelling GRP behavior</td>
<td valign="middle" align="left">Incorporate error, uncertainty, and robustness to genetic estimates</td>
</tr>
<tr>
<td valign="middle" align="left">6.&#x2003;Functional linkage</td>
<td valign="middle" align="left">Exploration of the relationship GD vs. fitness</td>
<td valign="middle" align="left">Justification of implementing GRPs in fishery management</td>
</tr>
<tr>
<td valign="middle" align="left">7.&#x2003;Adaptive management</td>
<td valign="middle" align="left">Modelling fishing scenarios</td>
<td valign="middle" align="left">Adjust observed GRPs to management actions</td>
</tr>
<tr>
<td valign="middle" align="left">8.&#x2003;Fishery assessment algorithms</td>
<td valign="middle" align="left">Modelling ecological scenarios</td>
<td valign="middle" align="left">Integrative fishery genetic assessment and management</td>
</tr>
<tr>
<td valign="middle" align="left">9.&#x2003;Capacity building</td>
<td valign="middle" align="left">Communication and training</td>
<td valign="middle" align="left">Engagement of Stakeholders on long-term genetic sustainability of fisheries</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2_2_2">
<label>2.2.2</label>
<title>Target genetic reference point</title>
<p>TGRP defines the specific genetic diversity status that fishery managers aim to achieve for long-term sustainability and resilience. It serves as a predefined genetic endpoint or desired genetic state to be maintained by a fishery stock. Analogous to <italic>B<sub>target&#x200b;</sub>
</italic>, TGRP represents the ideal or optimal GD status around which GD fluctuates under fishing pressure. Establishing the TGRP for a stock necessitates the reconstruction of the BGRP and its historical range of variation. The historical fluctuation of GD around the TGRP defines the comfort zone where genetic resilience for future generations is considered assured, e.g., TGRP&#x2265;0.60&#xb7;BGRP.</p>
</sec>
<sec id="s2_2_3">
<label>2.2.3</label>
<title>Limit genetic reference point</title>
<p>LGRP is a critical GD value indicating a need for concern and potential intervention to safeguard the long-term genetic viability of a fishery stock. Analogous to the current <italic>B<sub>lim</sub>
</italic>&#x200b;, LGRP establishes boundaries to constrain fishing within safe genetic limits relative to the historical BGRP. LGRP represents the GD threshold below which fishing a stock renders it less resilient to exploitation or other environmental challenges. GD scores below LGRP serves as a warning of a critical genetic status for that stock concerning its genetic degradation and loss of adaptive potential, e.g., LGRP=0.30&#xb7;BGRP.</p>
</sec>
<sec id="s2_2_4">
<label>2.2.4</label>
<title>Trigger genetic reference point</title>
<p>tGRP is a predetermined GD threshold that, when reached or breached, prompts a predefined management action to prevent GD from reaching the LGRP. It serves as an early warning indicating that the genetic diversity of a fishery stock is approaching a potentially undesirable low score. Analogous to <italic>B<sub>trigger</sub>&#x200b;</italic>, tGRP is a limit within the expected distribution of GD between LGRP and TGRP, where caution would advise a management response to ensure that the fishery remains close to the target, e.g., LGRP=0.30&#xb7;BGRP&lt;tGRP=0.40&#xb7;BGRP&lt;TGRP&#x2265;0.60&#xb7;BGRP. When GD consistently declines below tGRP, protective spatio-temporal measures to reduce fish mortality would be required. When uncertainty increases, LGRP should approach TGRP to establish more conservative criteria given the crucial yet erodible nature of GD.</p>
</sec>
<sec id="s2_2_5">
<label>2.2.5</label>
<title>Genetic structural reference point</title>
<p>GSRP represents the specific genetic architecture of fishery stocks observed in a pristine metapopulation. It describes the spatial pattern of genetic differentiation and connectivity among subpopulations. Once estimated, as early as possible, a year-based temporal assessment of the genetic structure in terms of the amount and distribution of GD should enable the detection of GSRP rarefaction. Such GSRP deconstruction serves as a warning of significant environmental and/or anthropogenic disturbance to the metapopulation normal patterns. GD is intrinsically linked to GSRP, i.e. a GD falling below a given LGRP coupled with a rare genetic distance between stocks (e.g., <italic>F</italic>
<sub>ST</sub>&#x200b;) constitutes evidence of a significant alteration of the entire GSRP of the metapopulation (e.g., <xref ref-type="bibr" rid="B34">Palstra and Ruzzante, 2011</xref>).</p>
</sec>
</sec>
<sec id="s2_3">
<label>2.3</label>
<title>Case study: the southern European hake stock</title>
<p>The southern European hake (<italic>Merluccius merluccius</italic>) stock, a fishery distributed across the Cantabrian Sea and the Atlantic Iberian Peninsula (ICES Management Divisions VIIIc and IXa, respectively), exhibits a lack of significant genetic structuring based on multiple genetic and geochemical markers (e.g., <xref ref-type="bibr" rid="B51">Tanner et&#xa0;al., 2014</xref>). A key challenge in the genetic management of this fishery lies in accurately assessing genetic diversity following periods of overfishing to ensure its long-term sustainability. Prior genetic investigations of this stock utilizing microsatellites revealed a post-fishing reduction in both the effective population size (<italic>N<sub>e</sub>&#x200b;</italic>) (a 43-fold decrease) and its spawning stock biomass (<italic>N<sub>SSB</sub>
</italic>, an 80% loss) (<xref ref-type="bibr" rid="B40">Pita et&#xa0;al., 2017</xref>). These findings suggested that the genetic consequences of fishing were more profound than a simple decline in population abundance, e.g., that genetic assessment indicated that this stock experienced a genetic bottleneck with an <italic>N<sub>e</sub>
</italic>&#x200b;&#x2248;300 in the early 2000s, followed by a recovery to <italic>N<sub>e</sub>
</italic>&#x200b;&#x2248;3200 in 2007. While acknowledging the potential role of environmental facilitation in this population rebound (<xref ref-type="bibr" rid="B9">D&#xed;ez et&#xa0;al., 2012</xref>), the EU regulatory measures implemented on this fishery appeared to have been effective later on (<xref ref-type="bibr" rid="B11">European Commission Council Reg, 2005</xref>). However, the recovery of <italic>N<sub>e</sub>
</italic>&#x200b; from its historical minimum likely involved a synergistic effect of both demographic and genetic enrichment from the neighboring northern hake stock, as well as the maintenance of its genetic status above a minimum evolutionary <italic>N<sub>e</sub>
</italic>&#x200b; threshold, thereby safeguarding the stock&#x2019;s resilience to overfishing (<xref ref-type="bibr" rid="B40">Pita et&#xa0;al., 2017</xref>).</p>
<p>Subsequent research on this stock highlighted a temporal dissociation between demographic and genetic metrics (<xref ref-type="bibr" rid="B12">Fern&#xe1;ndez-M&#xed;guez et&#xa0;al., 2023</xref>). Specifically, the peak of population demographic mortality (<italic>Z_N<sub>SSB</sub>
</italic>) (1986&#x2013;1990) preceded both the peak of effective genetic mortality (<italic>Z_LDN<sub>e</sub>
</italic>&#x200b;) (1991&#x2013;1995) and the peak of the official cohort-based mortality (<italic>Z_ICES</italic>&#x200b;) (1996&#x2013;2000). This temporal decoupling between demographic and genetic indicators (see <xref ref-type="bibr" rid="B52">Waples, 2005</xref>), implies that a) genetic impacts exhibit delayed responses or recovery trajectories compared to changes in population size, and b) official cohort analyses were insufficiently aligned with assessing the true biological status of the southern European hake fishery to adequately inform about sustainability-oriented recommendations. In this study, we apply the candidate metric termed the effective genetic death number <inline-formula>
<mml:math display="inline" id="im5">
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi>L</mml:mi>
<mml:mi>D</mml:mi>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
between two time points of the fishery, relative to the effective genetic size at an initial time point (<inline-formula>
<mml:math display="inline" id="im6">
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>D</mml:mi>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:msub>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>), to calculate the proportion of <italic>N<sub>e&#x200b;</sub>
</italic> eroded at a post-harvest effective genetic mortality rate (<italic>Z_LDN<sub>e</sub>
</italic>&#x200b;). This ratio, <inline-formula>
<mml:math display="inline" id="im7">
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi>L</mml:mi>
<mml:mi>D</mml:mi>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mrow>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>&#x200b;/<inline-formula>
<mml:math display="inline" id="im8">
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>D</mml:mi>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:msub>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>&#x200b; (termed the <italic>GRI</italic> index or Genetic Resilience Index), expresses the net variation of <italic>LDN<sub>e&#x200b;</sub>
</italic> between two time points in the fishery and can provide enhanced insights into genetic fluctuations compared to the absolute value of <italic>N<sub>e</sub>
</italic>&#x200b; which still lacks a species-specific quantitative or qualitative reference scale.</p>
</sec>
</sec>
<sec id="s3" sec-type="results">
<label>3</label>
<title>Results and discussion</title>
<sec id="s3_1">
<label>3.1</label>
<title>Behavior of <italic>GRI</italic> as metric candidate</title>
<p>The rationale for the Genetic Resilience Index (<italic>GRI</italic>) is to provide a composite metric that summarizes a fish population capacity to maintain, lose, or recover genetic diversity in a timeframe between two points under environmental stressors (including fishing). It extends beyond the absolute value of <italic>N<sub>e</sub>
</italic>&#x200b; to offer a more nuanced and robust assessment of the population rate of genetic change for management applications. Randomization of the effective mortality rate <italic>Z_LDN<sub>e</sub>
</italic>&#x200b; in the range [-3, 20] showed that <italic>GRI</italic> decreases exponentially with increasing effective mortality, approaching its minimum value (-1) when <italic>Z_LDN<sub>e</sub>
</italic> &#x200b;&gt; 1 (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>).</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Behavior of the <italic>GRI</italic> index for population effective genetic mortality <italic>Z</italic>_<italic>LDN<sub>e</sub>
</italic> randomizations between -3 and 20 as extreme values.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1524309-g001.tif">
<alt-text content-type="machine-generated">Scatter plot showing the relationship between the GRI index and Ze. The GRI index decreases sharply from 9 at Ze equals negative 3 to around 0, then stabilizes near 0 for Ze values from 0 to 20.</alt-text>
</graphic>
</fig>
<p>The <italic>GRI</italic> index ranges from negative (up to -1) when genetic mortality occurs, to zero when there is no genetic mortality, and turns positive (theoretically unbounded) when there is a recovery of <italic>LDN<sub>e</sub>
</italic>&#x200b; relative to the previous time point. Simulations of the <italic>GRI</italic> index under varying <italic>Z_LDN<sub>e</sub>
</italic> indicate that <italic>GRI</italic> spans the range [-0.63, 1.72] when <italic>LDN<sub>e&#x200b;</sub>
</italic> fluctuates smoothly around its initial value (<inline-formula>
<mml:math display="inline" id="im9">
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>D</mml:mi>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:msub>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>&#x200b;), specifically under moderate <italic>Z_LDN<sub>e</sub>
</italic> values [-1, 1], which corresponds to <italic>LDN<sub>e</sub>
</italic> being approximately 3-fold less or 3-fold higher than <inline-formula>
<mml:math display="inline" id="im10">
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>D</mml:mi>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:msub>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>&#x200b;. However, <italic>GRI</italic> rapidly approaches its minimum (-1) or becomes exceptionally large when <italic>Z_LDN<sub>e</sub>
</italic> &#x200b;&gt;1 or <italic>Z_LDN<sub>e</sub>
</italic> &#x200b;&lt;&#x2212;1, respectively (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>).</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Logarithmic (base 10) behavior of the <italic>GRI</italic> index upon an initial population effective genetic size <italic>LDN<sub>e<sub>t0</sub>
</sub>
</italic> in the range (0.001 &#x2013; 10) x 10<sup>6</sup> and a genetic effective mortality rate <italic>Z_LDN<sub>e</sub>
</italic> ranging [-20, 50] (see <xref ref-type="disp-formula" rid="eq1">Equations 1</xref>, <xref ref-type="disp-formula" rid="eq5">5</xref>). <italic>GRI</italic> is zero for any <italic>LDN<sub>e<sub>t0</sub>
</sub>
</italic> [written as above] when Z_LDNe [written as above] is zero.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1524309-g002.tif">
<alt-text content-type="machine-generated">Logarithmic scale line graph showing \(N_{e_{t0}}\) against GRI index from \(-1.0\) to \(485165194\). Five lines represent values \(10\), \(1\), \(0.1\), \(0.01\), and \(0.001\) with varying symbols: cross, diamond, triangle, circle, and square, respectively. All lines show an upward trend, increasing sharply past GRI index \(1.72\).</alt-text>
</graphic>
</fig>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Evolution of the <italic>GRI</italic> index in the southern hake stock</title>
<p>In the European hake case study, a comparison between the number of genetic deaths (<inline-formula>
<mml:math display="inline" id="im11">
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi>L</mml:mi>
<mml:mi>D</mml:mi>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>&#x200b;) and the number of demographic deaths (<inline-formula>
<mml:math display="inline" id="im12">
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mo>_</mml:mo>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>S</mml:mi>
<mml:msub>
<mml:mi>B</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>&#x200b;) reveals a temporal disparity between the intergenerational demographic impact and its corresponding genetic impact. Specifically, the highest demographic death occurred during the lustrum 1986&#x2013;1990 (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>), consistent with the maximum mortality rate (<italic>Z</italic>) observed during that period (see Table&#xa0;3 in <xref ref-type="bibr" rid="B12">Fern&#xe1;ndez-M&#xed;guez et&#xa0;al., 2023</xref>). However, the number of genetic deaths (<inline-formula>
<mml:math display="inline" id="im13">
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi>L</mml:mi>
<mml:mi>D</mml:mi>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>&#x200b;) was negligible and even negative in samples from that same period (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>). This apparent mismatch likely arises because the genetic status of that generation is assessed on samples from the extant fished population which carries all the genetic diversity inherited from the preceding generation. Conversely, the fish biomass depleted during the lustrum 1986&#x2013;1990 experiences a loss of genetic diversity that becomes quantifiable approximately one generation later, which in this case study corresponds to lustrum 1991&#x2013;1995 (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>). While the effective population size (<italic>LDN<sub>e</sub>
</italic>&#x200b;) cannot be negative, its change can be negative under genetic erosion, or positive as reflecting inter-stock migration, mutation, reduction in reproductive variance, favorable reproductive conditions, or any combination thereof occurring alongside low mortality rates (natural and/or fishing-induced).</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>Per lustrum based effective number of genetic deaths (<inline-formula>
<mml:math display="inline" id="im14">
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi>L</mml:mi>
<mml:mi>D</mml:mi>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mrow>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, Y-axis, bars) and the number of demographic deaths (<inline-formula>
<mml:math display="inline" id="im15">
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mo>_</mml:mo>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>B</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
<italic>
<sub>
<sub>t</sub>
</sub>
</italic>, Y&#x2019;-axis, line) in <italic>M. merluccius</italic> from 1981 to 2014 [source data from <xref ref-type="bibr" rid="B40">Pita et&#xa0;al. (2017)</xref> and <xref ref-type="bibr" rid="B12">Fern&#xe1;ndez-M&#xed;guez et&#xa0;al. (2023)</xref>].</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1524309-g003.tif">
<alt-text content-type="machine-generated">Line and bar graph showing changes over several lustrums from 1981 to 2014. The y-axis on the left measures D_LDN_et values, while the right y-axis measures D_N_ssbt. The line graph shows fluctuations with peaks and troughs, while the bars indicate varying values for each period.</alt-text>
</graphic>
</fig>
<p>The Genetic Resilience Index (<italic>GRI</italic>) calculated for this fishery illustrates the behavior of <inline-formula>
<mml:math display="inline" id="im16">
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi>L</mml:mi>
<mml:mi>D</mml:mi>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mrow>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>) relative to <inline-formula>
<mml:math display="inline" id="im17">
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>D</mml:mi>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:msub>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref>). The differentiallity is that while <inline-formula>
<mml:math display="inline" id="im18">
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi>L</mml:mi>
<mml:mi>D</mml:mi>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>&#x200b; quantifies the absolute change in <italic>N<sub>e&#x200b;</sub>
</italic> (positive, zero, or negative), <italic>GRI</italic> provides information on the genetic impact of the effective genetic mortality <italic>Z_LDN<sub>e</sub>
</italic>&#x200b; during period <italic>t</italic>, representing the net <italic>N<sub>e</sub>
</italic>&#x200b; change in the population between two pre- and post-harvesting time points. Current lustrum-based <italic>LDN<sub>e</sub>
</italic>&#x200b; estimates derived from relatively small European hake samples (n &#x2248; 40) (<xref ref-type="bibr" rid="B12">Fern&#xe1;ndez-M&#xed;guez et&#xa0;al., 2023</xref>) may indicate an accelerated loss of genetic diversity. However, the downward bias inherent in <italic>LDN<sub>e</sub>
</italic>&#x200b; estimates from small sample sizes is expected to be minimized by the <italic>GRI</italic> indicator, as it is a proportion calculated within the same population (e.g., <xref ref-type="bibr" rid="B23">Jamieson and Allendorf, 2012</xref>). Metric <italic>GRI</italic> generally fluctuated within the interval [-1, 1] during the examined hake fishery period, specifically [-0.927, 0.786], with the exception of lustrum 1996&#x2013;2000 when <italic>GRI</italic> reached 3.572, reflecting a substantial <italic>LDN<sub>e</sub>
</italic>&#x200b; recovery. While acknowledging the potential influence of its large census size and migration from the northern hake stock (<xref ref-type="bibr" rid="B39">Pita et&#xa0;al., 2014</xref>), a compensatory effect cannot be ruled out given the depleted <italic>N<sub>SSB</sub>
</italic> levels during that period.</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Per lustrum behavior of <italic>GRI</italic> in the European hake between 1981 and 2014 [data from <xref ref-type="bibr" rid="B40">Pita et&#xa0;al. (2017)</xref> and <xref ref-type="bibr" rid="B12">Fern&#xe1;ndez-M&#xed;guez et&#xa0;al. (2023)</xref>] as an index of genetic resilience. Positive <italic>GRI</italic> values imply negative effective genetic mortality or increased <italic>N<sub>e</sub>
</italic> relative to a previous moment (lustrum).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1524309-g004.tif">
<alt-text content-type="machine-generated">Bar graph showing GRI index values across different lustrum periods from 1981 to 2014. Significant peak at 1996-2000 reaching 3.5, with lower values or declines in other periods. Error bars indicate variation in data.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s3_3">
<label>3.3</label>
<title>GRPs in the European hake</title>
<p>Genetic Reference Points (GRPs) derived from historical genetic data of the European hake establish the Basal Genetic Reference Point (BGRP) around 1976, when <italic>LDN<sub>e</sub>
</italic>&#x2248;12000. Sustained overharvesting led to its subsequent erosion, with the stock entering a zone of critically low GD levels after the second half of 1980s (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5</bold>
</xref>), falling below the theoretically conservative LGRP = 0.30&#xb7;BGRP. Previous studies estimated a bottleneck with <italic>N<sub>e</sub>
</italic>&#x2248;300 in the early 2000s for this southern hake stock (<xref ref-type="bibr" rid="B40">Pita et&#xa0;al., 2017</xref>), suggesting that this GD level might represent a critical threshold below which the stock resilience to environmental challenges would be compromised, increasing the risk of demographic non-recovery (e.g., <xref ref-type="bibr" rid="B13">Frankham et&#xa0;al., 2014</xref>).</p>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>Genetic reference points (GRPs) applied to historical GD scores (<italic>LDN<sub>e</sub>
</italic>, black dashed line) of the southern European hake fishery stock from 1976 to 2014 (<xref ref-type="bibr" rid="B40">Pita et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B12">Fern&#xe1;ndez-M&#xed;guez et&#xa0;al., 2023</xref>). BGRP (Basal Genetic Reference Point, blue line); LGRP (Limit GRP, red line) = 0.30*BGRP; tGRP (trigger GRP, orange line) = 0.40*BGRP; TGRP (Target GRP, green line) = 0.60*BGRP.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1524309-g005.tif">
<alt-text content-type="machine-generated">Line graph showing effective population size (Ne) over time from 1976 to 2014. The black dashed line represents Ne, which decreases sharply between 1976 and 1990, then stabilizes and slightly increases after 2005. Horizontal dashed lines represent B_GRP, L_GRP, t_GRP, and T_GRP as benchmarks at various Ne levels.</alt-text>
</graphic>
</fig>
<p>Despite the debated effectiveness of EU fishing regulations in recovering the southern hake stock based on its depleted <italic>N<sub>SSB</sub>
</italic> figures (<xref ref-type="bibr" rid="B11">European Commission Council Reg, 2005</xref>), a significant fishery <italic>N<sub>SSB</sub>
</italic> rebound was documented in lustrum 7 (2006&#x2013;2010) (e.g., <xref ref-type="bibr" rid="B24">JRC (Joint Research Centre) et&#xa0;al., 2010</xref>), with <italic>N<sub>e</sub>
</italic> also rebounding to 3200 in 2006&#x2013;2010 (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5</bold>
</xref>). Although the precise mechanisms of this rebound remain poorly elucidated in the literature, the synergistic effects of EU fishing regulations, a large population census size, the strong connectivity observed with the northern hake stock (<xref ref-type="bibr" rid="B39">Pita et&#xa0;al., 2014</xref>), and a compensatory effect on <italic>N<sub>e</sub>
</italic> (reduction of reproductive variance) (<xref ref-type="bibr" rid="B40">Pita et&#xa0;al., 2017</xref>) constitute the most plausible scenario given the historically depleted <italic>N<sub>SSB</sub>
</italic> levels at that time. However, <italic>LDN<sub>e</sub>
</italic> only re-approached the herein proposed Limit Genetic Reference Point (LGRP) in lustrum 8 (2011&#x2013;2014) (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5</bold>
</xref>), following its positive trend from the preceding lustrum and the initiative-taking management implementation of EU fishing regulations (e.g., <xref ref-type="bibr" rid="B24">JRC (Joint Research Centre) et&#xa0;al., 2010</xref>) as should be pertinent once a species approaches the tGRP reference zone.</p>
<p>The Genetic Structural Reference Point (GSRP) is essential for the genetic delineation of fisheries (<xref ref-type="bibr" rid="B36">Pita et&#xa0;al., 2016a</xref>) and for assessing range shifts or stock collapses within a species metapopulation structure (e.g., <xref ref-type="bibr" rid="B33">Palacios-Abrantes et&#xa0;al., 2022</xref>). GSRP implementation is not feasible in this case study due to the steady genetic homogeneity observed in the southern hake stock (<xref ref-type="bibr" rid="B40">Pita et&#xa0;al., 2017</xref>). Nevertheless, the genetic structure of the Atlantic hake metapopulation exhibited connectivity among Atlantic stocks with variable directionality, intensity, and periodicity, and <italic>F</italic>
<sub>ST</sub> values ranging from 0.0001 to 0.024 during period 2000&#x2013;2010 (<xref ref-type="bibr" rid="B38">Pita et&#xa0;al., 2016b</xref>). Opposite, temporal information on current structural genetic metrics from the two subpopulations in the European hake range (Atlantic and Mediterranean) can help identifying changes within their gene pools (e.g., <xref ref-type="bibr" rid="B48">Smedbol and Wroblewski, 2002</xref>) supporting their management distinction.</p>
</sec>
<sec id="s3_4">
<label>3.4</label>
<title>A roadmap towards implementation of genetic reference points</title>
<p>By adhering to a structured roadmap, fisheries management can progress towards the species-specific implementation of GRPs, thereby fostering more resilient and sustainable fisheries. However, the development and implementation of species-specific GRPs for fisheries is a multistage process necessitating collaboration among geneticists, fisheries scientists, managers, and stakeholders. A tentative roadmap aims to delineate the steps involved in establishing operational GRPs for fisheries (<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>). We believe that setting validated GRPs in fisheries assessment can be far operational than the classical 50/500 rule (<xref ref-type="bibr" rid="B15">Franklin, 1980</xref>; <xref ref-type="bibr" rid="B49">Soul&#xe9;, 1980</xref>) which proposes a minimum viable population (MVP) of 50 individuals to avoid inbreeding and 500 to mitigate genetic drift. That universal MVP rule is now considered too simplistic and less relevant as many species survive below its thresholds, and extinction risk varies greatly among species (see <xref ref-type="bibr" rid="B23">Jamieson and Allendorf, 2012</xref>; <xref ref-type="bibr" rid="B14">Frankham et&#xa0;al., 2013</xref>, <xref ref-type="bibr" rid="B13">2014</xref>; <xref ref-type="bibr" rid="B42">Rosenfeld, 2014</xref>; <xref ref-type="bibr" rid="B19">Hoban et&#xa0;al., 2020</xref>). Species-specific MVPs estimated using Population Viability Analysis (PVA) models are more accurate (<xref ref-type="bibr" rid="B45">Shaffer, 2005</xref>). Such PVA models have evolved to handle complex scenarios and can identify factors significantly impacting extinction probability, such as habitat loss, disease, and inbreeding. Importantly, PVA can now incorporate genetic data to determine the minimum genetic diversity needed for a viable population (e.g., <xref ref-type="bibr" rid="B58">Zilko et&#xa0;al., 2021</xref>).</p>
<p>The first step to implement GRPs in concerned fisheries involves a clear categorization of fish stocks (e.g., <xref ref-type="bibr" rid="B22">ICES, 2021</xref>), i.e., stock category 1 encompasses fisheries with existing records of historical gene diversity (BGRP) and metapopulation structure (GSRP), or with the potential to reconstruct these through various means (e.g., museum collections, preserved tissue samples, otoliths, scales, bones, scientific data). Stock category 2 comprises fisheries where the reconstruction of either their historical genetic diversity or their spatiotemporal metapopulation structure (GSRP) is not feasible. In this last category, the first genetic assessment of the fishery should serve as a basis for subsequent assessments.</p>
<p>The second step involves developing the genetic tools using tissue samples of the species. Noteworthy, optimized purification methods now facilitate the extraction of DNA from subfossil material (e.g., <xref ref-type="bibr" rid="B29">Muschick et&#xa0;al., 2023</xref>), enabling the application of high-throughput sequencing and subsequent characterization of thousands of SNPs.</p>
<p>The third step entails the acquisition of high-resolution GD data from the baseline population using standardized methodologies. This GD data can be used to parameterize both the Basal Genetic Reference Point (BGRP) by applying a genetic metric (e.g., <italic>N<sub>e</sub>
</italic>) and the Genetic Structural Reference Point (GSRP) using an inter-stock genetic distance measure such as the inter-subpopulation fixation index (<italic>F</italic>
<sub>ST</sub>&#x200b;).</p>
<p>The fourth step involves annual genetic monitoring on non-invasive samples (e.g., from directed commercial sampling and oceanographic missions) of selected fisheries, e.g., those identified upon commercial, economic or ecological criteria, to track the genetic diversity indexes used to work out its specific GRPs. It is important to note that a spatio-temporal sampling design based on the species-specific life cycle is crucial to minimize bias in <italic>GRI</italic> and GRP estimates (based on the accuracy of <italic>N<sub>e</sub>
</italic>) and to produce meaningful data for comparing the genetic structural reference point (GSRP) of the metapopulation with the actual one. While sampling by direct fishing methods carried out by oceanographic institutes (scientific campaigns) already accounts for the species life cycle, sampling of new species of conservation concern necessitates an appropriate sampling strategy upon its life cycle (e.g. <xref ref-type="bibr" rid="B18">Harris et&#xa0;al., 2013</xref>).</p>
<p>At this stage, the trends and ratios of GD established through interannual data allow for the estimation of the post-harvesting rate of genetic erosion (e.g., <italic>GRI</italic> index) and the definition of the target (TGRP), the trigger GRP (tGRP), and the limit (LGRP) Genetic Reference Point based on field estimates of GD (e.g., <italic>N<sub>e</sub>
</italic>&#x200b;).</p>
<p>The fifth step consists of GRP testing to appraise error, uncertainty, and robustness of genetic estimates used to define GRPs for category 1 stocks, where comprehensive data knowledge is attainable. This task includes the validation and modeling of GRPs behavior and the assessment of their operational interest in fishery assessment (e.g., <xref ref-type="bibr" rid="B26">Kell et&#xa0;al., 2021</xref>).</p>
<p>The sixth step involves substantiating the biological relevance of GRPs in fishery management (through both laboratory and field-based studies, where feasible) to elucidate the relationships between GD and fitness-related traits such as growth rate, reproductive success, survival, and disease resistance in the target species. This task can be undertaken at any time, provided that large phenotypic and genetic datasets are available, e.g., enabling Genome-Wide Association Studies (GWAS).</p>
<p>The seventh step consists on implementing adaptive management strategies to modulate GRPs and management actions over time. This entails adjusting the observed GRPs in response to specific management interventions (e.g., fishing quotas, temporal or spatial closures, fishing gears, or genetic enhancement programs). In this context, the application of simulation modeling allows for the exploration of potential consequences of various fishing scenarios on GD and the evaluation of the effectiveness of modulating potential GRP values.</p>
<p>The eight step consists on integrating qualitative and quantitative GD, and structural (metapopulation) criteria into assessment process and fisheries management frameworks. The integration of genetic metrics into ecological models seems to be relatively straightforward, enabling the evaluation of extinction risks stemming from genetic factors and improving the precision of estimating fishing-induced genetic erosion rates (e.g., <xref ref-type="bibr" rid="B57">Yang et&#xa0;al., 2025</xref>; <xref ref-type="bibr" rid="B46">Shan et&#xa0;al., 2025</xref>). Its incorporation into fishery assessment algorithms and fishery management presents greater challenges, such as inertia, corporativism and across-agencies assumption of methodological novelty.</p>
<p>A final, yet crucial, step is capacity building to strengthen the sustainability of the genetic assessment of fisheries. Implementing GRPs necessitates a long-term commitment to research, monitoring, and adaptive management. The genetic dimension must be integrated into the scientific culture alongside traditional assessments and socio-economic considerations for holistic fisheries management. In this regard, the implementation of training programs for fishery scientists, managers, and enforcement agencies on the principles of fishery genetics, the interpretation of genetic data, and the application of GRPs becomes consequential. Within the socio-economic public domain, the engagement of stakeholders, including fishers, industry representatives, conservation organizations, and policymakers, in the development and implementation of GRPs is also a priority, as it facilitates co-participation in understanding the rationale behind GRPs and their potential benefits for the long-term sustainability of fisheries.</p>
</sec>
</sec>
<sec id="s4" sec-type="conclusions">
<label>4</label>
<title>Conclusions</title>
<p>Overfishing and global change drive irreversible GD loss, diminishing reproductive success and potentially leading to fishery collapse (<xref ref-type="bibr" rid="B44">Sainsbury, 2008</xref>). While biomass management above MSY supports larger fish and sustainability (<xref ref-type="bibr" rid="B41">Punt and Smith, 2001</xref>), higher GD enhances resilience and reduces extinction risk (<xref ref-type="bibr" rid="B50">Spielman et&#xa0;al., 2004</xref>). This study develops Genetic Reference Points (GRPs) for monitoring and evaluating the genetic status of fisheries, which are patently absent from official assessment. That absence is due among others to the lack of both, standardization of genetic metrics into GRPs and their integration into assessment algorithms. As genetic monitoring accessibility and GD-population health understanding through IA improve, GRPs are likely to become central to fisheries management. Standardized Genetic Reference Points (GRPs) from historical species-specific baselines, alongside its demographic metrics, provide enduring criteria for identifying overfished stocks and rebuilding. For instance, because post-harvest GD quantity and quality influence rebound/collapse (<xref ref-type="bibr" rid="B30">Myers et&#xa0;al., 1997</xref>), GRPs monitoring safeguards against GD reaching extinction thresholds due to genetic factors (<xref ref-type="bibr" rid="B21">Hutchings, 1996</xref>). Monitoring GD evolution via GRPs is a crucial asset to understand erosion causes (e.g., overfishing, invasions, pollution, global change). Also, tracking GSRP and metapopulation dynamics allows managers to take a more informed approach to the preservation of species adaptive potential. GRPs can also help validating sustainability claims of certified fisheries. A very first drawback for the implementation of GRPs is the recognition of their importance as methodological assets for the long-term sustainability of fisheries, in parallel to the well developed Fishery Reference Points (FRPs). The lack of GD data for non model species and species with no fishing history is also a drawback to set their initial BGRPs, which should be implemented in a timely manner. The successful development of a GRPs roadmap necessitates the appropriate application of systematically collected large sample sizes, analyze them with the same marker set whichever better fits the goal and the methodological validation across laboratories to achieve a reliable GRPs standardization.</p>
</sec>
</body>
<back>
<sec id="s5" sec-type="data-availability">
<title>Data availability statement</title>
<p>Publicly available datasets were analyzed in this study. This data can be found here: The data employed in the design and simulation of novel genetic metrics is accessible from previous publications of the authors, i.e., <uri xlink:href="https://doi.org/10.1016/j.fishres.2017.02.022">https://doi.org/10.1016/j.fishres.2017.02.022</uri> and <uri xlink:href="https://doi.org/10.3389/fmars.2023.1214469">https://doi.org/10.3389/fmars.2023.1214469</uri>.</p>
</sec>
<sec id="s6" sec-type="ethics-statement">
<title>Ethics statement</title>
<p>Ethical approval was not required for the study involving animals in accordance with the local legislation and institutional requirements. This study comprises conceptual and mathematical developments as well an applied case study employing previously published data from the authors.</p>
</sec>
<sec id="s7" sec-type="author-contributions">
<title>Author contributions</title>
<p>IS: Data curation, Formal analysis, Investigation, Methodology, Validation, Visualization, Writing &#x2013; review &amp; editing. PP: Conceptualization, Formal analysis, Funding acquisition, Methodology, Project administration, Resources, Validation, Writing &#x2013; original draft, Writing &#x2013; review &amp; editing.</p>
</sec>
<sec id="s8" sec-type="funding-information">
<title>Funding</title>
<p>The author(s) declare financial support was received for the research and/or publication of this article. The authors declare that financial support was received for the research, authorship, and/or publication of this article by contract TED2021-132258BI00 from MCIN/AEI/10.13039/501100011033 and The European UnionNextGenerationEU/PRTR.</p>
</sec>
<sec id="s9" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="s10" sec-type="ai-statement">
<title>Generative AI statement</title>
<p>The author(s) declare that no Generative AI was used in the creation of this manuscript.</p>
<p>Any alternative text (alt text) provided alongside figures in this article has been generated by Frontiers with the support of artificial intelligence and reasonable efforts have been made to ensure accuracy, including review by the authors wherever possible. If you identify any issues, please contact us.</p>
</sec>
<sec id="s11" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors&#xa0;and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
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