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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.2023.1130626</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Marine Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Moderate relative size of covered and non-covered structures of artificial reef enhances the sheltering effect on reef fish</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Yue</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2258981"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Sun</surname>
<given-names>Tao</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1879774"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Ding</surname>
<given-names>Gang</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Yu</surname>
<given-names>Daode</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1293145"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Yang</surname>
<given-names>Wei</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1773953"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Sun</surname>
<given-names>Qianzhao</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Xiaoling</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1619487"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Lin</surname>
<given-names>Haiying</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>State Key Laboratory of Water Environment Simulation, School of Environment, Beijing Normal University</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Qingdao Key Laboratory of Coastal Ecological Restoration and Security, Marine Science Research Institute of Shandong Province</institution>, <addr-line>Qingdao</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: James Scott Maki, Marquette University, United States</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Joshua Patterson, University of Florida, United States; Won-Bae Na, Pukyong National University, Republic of Korea</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Tao Sun, <email xlink:href="mailto:suntao@bnu.edu.cn">suntao@bnu.edu.cn</email>
</p>
</fn>
<fn fn-type="other" id="fn002">
<p>This article was submitted to Marine Conservation and Sustainability, a section of the journal Frontiers in Marine Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>30</day>
<month>03</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>10</volume>
<elocation-id>1130626</elocation-id>
<history>
<date date-type="received">
<day>23</day>
<month>12</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>22</day>
<month>03</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Zhang, Sun, Ding, Yu, Yang, Sun, Wang and Lin</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Zhang, Sun, Ding, Yu, Yang, Sun, Wang and Lin</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>Identifying the relationship between fish aggregations and artificial reefs (ARs) is important for optimizing reef structures and protecting marine resources subjected to external disturbance. Yet, knowledge remains limited of how the distribution of fish is affected by shelter availability provided by different AR structures. Here, we tested the effects of two structural attributes on the distribution of a benthic juvenile reef fish (fat greenling, <italic>Hexagrammos otakii</italic>). We used a laboratory mesocosm experiment with a simplified reef unit that was made of covered structure and non-covered structure. The covered structure was defined as the area inside ARs that provided effective shelter. The non-covered structure was defined as the area along the edge of ARs, which attracts fish but has lower sheltering effects. Four scenarios of two orthogonal structural attributes contained in a reef unit were implemented: size of covered structure (small shelter versus large shelter) and size of non-covered structure (small edge versus large edge), forming three size ratios of shelters to edges (low, medium, and high). The sheltering effects of the four scenarios were evaluated based on changes to the distribution patterns of fish under disturbance. We found that the reef with a large shelter had a better sheltering effect than the reef with a small shelter, but was limited by its small edge, especially when fish density was high. In contrast, the sheltering effect of the reef with a small shelter was limited by its large edge compared to the small edge. Thus, a moderate shelter-edge ratio enhanced the ability of juvenile fat greenling to elude external disturbance. Our findings highlight the importance of quantifying how the structural composition of reefs affects fish distributions, providing guidance to optimize AR structures.</p>
</abstract>
<kwd-group>
<kwd>artificial reef</kwd>
<kwd>structural attribute</kwd>
<kwd>sheltering effect</kwd>
<kwd>distribution</kwd>
<kwd>shelter availability</kwd>
<kwd>reef fish</kwd>
</kwd-group>
<contract-sponsor id="cn001">Ministry of Science and Technology of the People's Republic of China<named-content content-type="fundref-id">10.13039/501100002855</named-content>
</contract-sponsor>
<contract-sponsor id="cn002">National Natural Science Foundation of China<named-content content-type="fundref-id">10.13039/501100001809</named-content>
</contract-sponsor>
<contract-sponsor id="cn003">Beijing Municipal Education Commission<named-content content-type="fundref-id">10.13039/501100003213</named-content>
</contract-sponsor>
<counts>
<fig-count count="6"/>
<table-count count="1"/>
<equation-count count="2"/>
<ref-count count="78"/>
<page-count count="11"/>
<word-count count="5110"/>
</counts>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>Artificial reefs (ARs) are submerged structures that are placed on substratum, and are used globally for the protection, regeneration, and concentration of marine resources, and/or to enhance fisheries (<xref ref-type="bibr" rid="B2">Becker et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B43">Lima et&#xa0;al., 2019</xref>). ARs have been widely implemented to enhance biological communities globally (<xref ref-type="bibr" rid="B61">Ramm et&#xa0;al., 2021</xref>). How ARs impact marine resources is typically assessed by comparing the abundance, diversity, and community composition of fish between ARs and adjacent habitats (<xref ref-type="bibr" rid="B36">Komyakova et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B40">Lemoine et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B75">Wu et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B57">Paxton et&#xa0;al., 2020</xref>), with a focus on the spatial distribution of fish aggregations (<xref ref-type="bibr" rid="B66">Smith et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B1">Becker et&#xa0;al., 2019</xref>). Shelter availability provided by ARs contributes towards regulating population density, especially for fish that use shelter (<xref ref-type="bibr" rid="B30">Johnson, 2006</xref>; <xref ref-type="bibr" rid="B15">Ford and Swearer, 2013</xref>; <xref ref-type="bibr" rid="B71">Teichert et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B59">Pondella et&#xa0;al., 2022</xref>). Dense aggregations of fish typically form in areas containing ARs (<xref ref-type="bibr" rid="B67">Smith et&#xa0;al., 2015</xref>). However, such aggregations might also negatively impact the protection of biological resources, because of potential increased fishing (<xref ref-type="bibr" rid="B28">Islam et&#xa0;al., 2014</xref>) and predation (<xref ref-type="bibr" rid="B73">White et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B12">Fernandez-Betelu et&#xa0;al., 2022</xref>), or intraspecific competition of reef fish for limiting resources of shelter (<xref ref-type="bibr" rid="B32">Kerry and Bellwood, 2016</xref>).</p>
<p>
<xref ref-type="bibr" rid="B7">Caley and StJohn (1996)</xref> proposed that ARs could provide different amounts of two types of shelter: permanent shelter, such as small holes, which physically excludes predators; and transient shelter, such as increased structural complexity, which increases the probability of prey escaping, rather than excluding predators. The authors conducted an experiment to separate how these two types of shelter affected the assemblage structure of reef fish, but found no indication that permanent shelter provides greater protection to prey species than transient shelter. One artificial reef module contains two types of structure: covered structure and non-covered structure, which are respectively similar to internal complexity (or &#x201c;void space&#x201d;) and external complexity (or &#x201c;rugosity&#x201d;) proposed by <xref ref-type="bibr" rid="B5">Blount et&#xa0;al. (2021)</xref>. The cavities in the reef are characterized by number of holes and volume of space (<xref ref-type="bibr" rid="B44">Lindberg et&#xa0;al., 2006</xref>; <xref ref-type="bibr" rid="B38">Langhamer and Wilhelmsson, 2009</xref>). These cavities form the covered structure that limits the entry of predators. The outer walls (surface) of the reef are characterized by the total size and surface area of the reef (<xref ref-type="bibr" rid="B5">Blount et&#xa0;al., 2021</xref>). These walls serve as the non-covered structure, which has lower sheltering effects than the covered structure.</p>
<p>Enhancing the sheltering effect is important in the design of ARs. Field observations show that a higher level of the non-covered structure factors of the reef enhances its capacity to support more fish accumulating (<xref ref-type="bibr" rid="B44">Lindberg et&#xa0;al., 2006</xref>; <xref ref-type="bibr" rid="B52">Menard et&#xa0;al., 2012</xref>). In parallel, lower non-covered structure sometimes supports higher fish densities (<xref ref-type="bibr" rid="B17">Gatts et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B21">Granneman and Steele, 2015</xref>; <xref ref-type="bibr" rid="B27">Hylkema et&#xa0;al., 2020</xref>), due to a high level of the covered structure factors such as more holes, internal space, and spacing between structures, enhancing the survival of reef fish (<xref ref-type="bibr" rid="B23">Hackradt et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B14">Ford et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B22">Gregor and Anderson, 2016</xref>).</p>
<p>Because environmental conditions and intraspecific relationships vary widely in the natural environment (<xref ref-type="bibr" rid="B65">Sinopoli et&#xa0;al., 2015</xref>), it is often difficult to establish how covered and non-covered structures affect the distributions of fish under field conditions. AR structures tend to be optimized by measuring their hydrodynamic effects (e.g., upwellings and back eddies) under laboratory settings (<xref ref-type="bibr" rid="B33">Kim et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B49">Ma et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B56">Nie et&#xa0;al., 2022</xref>). For example, a smaller opening ratio (i.e., ratio of the projected area of the cut-opening hole to the whole projected area of the reef surface) could enhance the upwelling and back eddy fields to provide favorable conditions for reef fish (<xref ref-type="bibr" rid="B16">Fu et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B72">Wang et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B76">Yu et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B42">Li et&#xa0;al., 2021</xref>). Reef structures are optimized based on hydrodynamic processes because the distributions of fish are hypothesized to be controlled by the stress of environmental factors. However, such hypotheses do not consider how AR structures affect intraspecific relationships, which could lead to a misunderstanding of the non-linear relationship between reef structures and biological distributions.</p>
<p>Here, we explored how the availability of shelter in ARs affects the distribution of a juvenile reef fish (<italic>Hexagrammos otakii</italic>). To do this, we used a laboratory mesocosm experiment with simplified reef units. Specifically, we: (1) investigated how covered and non-covered structures of reef units affected fish distributions at the laboratory scale, and (2) identified which structural combinations (covered and non-covered structures of different relative sizes) were more likely to enhance the sheltering effect of reefs. Two structural attributes (i.e., size of covered shelter &#xd7; size of non-covered edge) of the reef unit were tested in relation to different fish densities to quantify how they distribute around the reef unit. Then, the sheltering effect of each reef unit under disturbance conditions was analyzed, and the optimal ratio for the size of the shelter to edge was identified. We expected that the shelter and edge would have a combined effect on fish distribution. We predicted that: (1) the reef unit with a larger shelter would have a better sheltering effect; and (2) the relative size of the shelter to edge of the reef unit would limit sheltering effects. Our results are expected to help optimize the design of AR structures and provide quantitative methods to assess AR performance.</p>
</sec>
<sec id="s2" sec-type="materials|methods">
<label>2</label>
<title>Materials and methods</title>
<sec id="s2_1">
<label>2.1</label>
<title>Study species</title>
<p>Fat greenling, <italic>Hexagrammos otakii</italic>, is a benthic cold-water reef fish that is widely distributed on temperate rocky reefs in the coastal areas of northern China, Korea, and Japan (<xref ref-type="bibr" rid="B37">Kwak et&#xa0;al., 2005</xref>; <xref ref-type="bibr" rid="B34">Kimura and Munehara, 2010</xref>; <xref ref-type="bibr" rid="B47">Liu et&#xa0;al., 2019</xref>). Larvae develop as plankton. After settlement, reef-associated juvenile and adult fish inhabit benthic habitat (<xref ref-type="bibr" rid="B41">Li et&#xa0;al., 2020</xref>). Fat greenling is an economically important species for fisheries, and is a key species for breed-and-release programs along the coasts of the Yellow Sea and Bohai Sea of China (<xref ref-type="bibr" rid="B68">Sui et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B78">Zhao et&#xa0;al., 2021</xref>). However, this species has been overharvested, and captured individuals have become smaller in size (<xref ref-type="bibr" rid="B69">Sun et&#xa0;al., 2014</xref>). Therefore, we selected fat greenling as a model species to examine aggregation patterns around ARs and to propose the optimal design of these structures. Juvenile fat greenling have similar behavioral characteristics to adults, but are more dependent on reefs. Fat greenling are relatively inactive compared to other fish species (<xref ref-type="bibr" rid="B77">Zhang et&#xa0;al., 2021</xref>), and juveniles mostly rest on the bottom surface when not foraging (<xref ref-type="bibr" rid="B46">Liu et&#xa0;al., 2018</xref>). They are ideal subjects for experimental tests on the simplified attributes of reef structures, as the horizontal distribution of these fish can be easily observed.</p>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>Experimental design</title>
<p>The mesocosm experiment was conducted from October 25 to December 7, 2020, in an aquaculture workshop at Shandong, China (37.19 N, 122.58 E). The experimental tanks (2.0 &#xd7; 2.0 &#xd7; 0.5 m, width &#xd7; length &#xd7; depth) were part of an indoor flow-through seawater system equipped with mechanical and biological filters. The water temperature in the tank was maintained at 8.6 &#xb1; 0.5 &#xb0;C, and the salinity was close to that of natural seawater (32.44 &#xb1; 0.07 ppt [mean &#xb1; SE]). One experimental reef unit was constructed in the center of each tank. Each tank was provided with air stones in four corners to provide dissolved oxygen (6.33 &#xb1; 0.59 mg/L [mean &#xb1; SE]). The air stones did not affect the static water environment around the reef unit, and were positioned to avoid disturbing fish and obstructing observations. Each tank was illuminated with white LED lights during the day, to simulate the local photoperiod (11 light: 13 dark). Each reef unit was designed to contain both covered and non-covered structures. Specifically, the reef unit was composed of a square enclosure made of bricks, and a central shelter made of arched tile(s) (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>). Fish movement was restricted to within the brick enclosure during the experiment by keeping the water level at brick height (height = 0.1 m). The opening of the arched tile (arch height = 0.06 m) allowed fish to enter. The arched tile(s) had a covered shelter with an internal space for effective protection. In contrast, the brick enclosure could attract fish but still expose them to risk (e.g., predation, fishing, and anthropogenic noise as if in the wild). This simplified structure of the reef unit was based on the solid cubic reef with a cavity in the center. The cubic reef was manipulated for the shelter experiment of <xref ref-type="bibr" rid="B44">Lindberg et&#xa0;al. (2006)</xref>. However, it was possible to observed the internal distribution of fish in the reef unit in our experiment because it was not solid in the vertical plane. We considered the brick enclosure to be the non-covered edge, and used the perimeter of the projected area of the arched tile(s) to describe the size of the covered shelter.</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Schematic of the experimental mesocosms designed to detect how shelter availability affected the distribution of juvenile fat greenling, <italic>Hexagrammos otakii</italic>, a benthic reef fish. The covered shelter (made of arched tile(s)) and non-covered edge (made of a brick enclosure) made up one reef unit placed in the tank. Water level was kept at brick height to restrict fish to move to within the reef unit.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1130626-g001.tif"/>
</fig>
<p>Two covered shelters of different size (small shelter and large shelter) were paired with two non-covered edges of different size (small edge and large edge) orthogonally to generate four treatments for reef unit structure (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2A</bold>
</xref>). Three relative sizes of shelters to edges were set: (1) small shelter &#xd7; large edge, low ratio = 0.2; (2) small shelter &#xd7; small edge and large shelter &#xd7; large edge, medium ratio = 0.3; (3) large shelter &#xd7; small edge, high ratio = 0.4. The bottom surface of each reef unit was divided into a 4 &#xd7; 4 grid with a thin string (diameter = 1 mm), which allowed the distribution of fish to be recorded. The central 2 &#xd7; 2 grid was termed the aggregation area, and the remaining grid was termed the margin area (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2B</bold>
</xref>). A fisheye camera was hung above the tank, and was connected to the computer to monitor fish activity remotely in real-time.</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Schematic of the reef unit platform showing the size of the structural attributes. <bold>(A)</bold> Four treatments of reef unit structure: small shelter &#xd7; small edge (medium ratio = 0.3), large shelter &#xd7; small edge (high ratio = 0.4), small shelter &#xd7; large edge (low ratio = 0.2), large shelter &#xd7; large edge (medium ratio = 0.3). The equations show the calculation process for the size ratio of the shelter to edge. <bold>(B)</bold> Bottom partition of the reef unit (i.e., 4 &#xd7; 4 grid). Gray squares represent the aggregation area around the central shelter, and blank squares represent the margin area.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1130626-g002.tif"/>
</fig>
<p>Juvenile fat greenling were reared from artificially fertilized eggs that hatched in November, 2019. Healthy fish (standard length: 108.9 &#xb1; 10.2 mm; wet weight: 16.37 &#xb1; 2.91 g [mean &#xb1; SE]) were housed in a temporary tank for one week to acclimatize. Fish were fed commercial dry pellets (moisture &#x2264; 10.0%; crude protein &#x2265; 51.0%; crude lipid &#x2265; 10.0%; crude fiber &#x2264; 2.0%; crude ash &#x2264; 16.0%; lysine &#x2265; 2.5%; total phosphorus: 1.5&#x2013;3.0%) once a day before the experiment. Fish were randomly selected and divided into seven density groups: 5, 10, 15, 20, 25, 28, and 31 individuals per reef unit (ind/unit). No fish died during the experimental period. Therefore, the experiment was a three-factor, fully crossed design (conspecific density [seven levels], shelter size [two levels], and edge size [two levels]), with 28 treatments. The experiment was run six times for each fish density (i.e., six different groups of fish), with six replicates per treatment.</p>
</sec>
<sec id="s2_3">
<label>2.3</label>
<title>Data collection and analysis</title>
<p>Fish from each trial were transferred from the temporary tank to the experimental reef unit, and were allowed to acclimatize for 24 h. On the subsequent day, the experiment was implemented and the distribution of fish was recorded on the camera every 20 min for 7 h, with 20 records per trial. The mean value of these 20 records was used to delineate fish distributions in each trial. Fish were not fed during the observation period to avoid disturbance. After the fish distribution was observed, we added an external disturbance to startle fish. This involved striking the surface of the water with a stick. We then recorded the distribution data again.</p>
<p>The aggregation rate (<italic>R</italic>) and number of occupants (<italic>N</italic>) (i.e., the number of fish per occupied tile) were used to quantify the full distribution dataset for the condition without disturbance. The aggregation rate (<italic>R</italic>) was defined as the ratio of the number of fish distributed in the central 2 &#xd7; 2 grid (aggregation area in <xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2B</bold>
</xref>) relative to the total number of fish. The aggregation rate (<italic>R</italic>) in each trial was calculated as:</p>
<disp-formula>
<label>(1)</label>
<mml:math display="block" id="M1">
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mo>=</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
<mml:mrow>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo stretchy="false">/</mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>n</mml:mi>
<mml:mo>&#xb7;</mml:mo>
<mml:mi>d</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mstyle>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <italic>d<sub>i</sub>
</italic> is the number of fish distributed in the aggregation area at time point <italic>i</italic>; <italic>d</italic> is the total number of fish in the reef unit; <italic>n</italic> is the number of experimental records in a trial, and <italic>n</italic> = 20.</p>
<p>The number of occupants (<italic>N</italic>) was calculated by subtracting the number of fish outside the shelter from the total number of fish, and then dividing this value by the number of tiles. This calculation produced the average number of fish in each tile when two tiles were present. The number of occupants (<italic>N</italic>) in each trial was calculated as:</p>
<disp-formula>
<label>(2)</label>
<mml:math display="block" id="M2">
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mo>=</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>d</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>f</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo stretchy="false">/</mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>n</mml:mi>
<mml:mo>&#xb7;</mml:mo>
<mml:mi>m</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mstyle>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <italic>f<sub>i</sub>
</italic> is the number of fish outside shelter at time point <italic>i</italic>; <italic>m</italic> is the number of tiles, and <italic>m</italic> = (1, 2).</p>
<p>It was assumed that fish that entered shelter after being frightened obtained effective protection; thus, we defined the protection rate (<italic>P</italic>) of every reef unit structure as the proportion of fish in the shelter after disturbance to the total number of fish, to evaluate the sheltering effect of the reef. The average number of fish in each tile after disturbance (<italic>N<sub>after</sub>
</italic>) was also calculated.</p>
<p>We first used three-way ANOVA to test whether the aggregation rate (<italic>R</italic>) differed among the following factors: shelter size, edge size, conspecific density, and we included all interaction terms. <italic>Post-hoc</italic> multiple comparisons were made with Tukey&#x2019;s tests, to find which mean values differed significantly. We then used a linear regression between the aggregation rate (<italic>R</italic>) and protection rate (<italic>P</italic>) across all reef unit structures to test whether the pattern of fish distribution could be used to infer the sheltering effect of the reef unit. We also compared the effect of the three listed factors on the number of occupants (<italic>N</italic>) and <italic>N<sub>after</sub>
</italic> respectively, using one-way ANOVA (followed by Tukey&#x2019;s test if the ANOVA result was significant). In addition, we used the T-test to compare the difference between <italic>N</italic> and <italic>N<sub>after</sub>
</italic> for each combination of reef structure and conspecific density. All analyses were preceded by a Kolmogorov-Smirnov test to detect normality of data, and by Levene&#x2019;s test to detect heterogeneity of variance. All statistics were performed using IBM SPSS Statistics 22.</p>
</sec>
</sec>
<sec id="s3" sec-type="results">
<label>3</label>
<title>Results</title>
<sec id="s3_1">
<label>3.1</label>
<title>Distribution patterns</title>
<sec id="s3_1_1">
<label>3.1.1</label>
<title>Aggregation rate</title>
<p>The size of the covered shelter significantly affected the aggregation rate (<italic>R</italic>) (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>). At each density, the reef unit with a large shelter significantly supported more aggregations compared to the small shelter (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>, except for 10 ind/unit [<italic>p</italic> = 0.133], 28 ind/unit [<italic>p</italic> = 0.096], and 31 ind/unit [<italic>p</italic> = 0.410] in the small edge treatment). Significant shelter size &#xd7; edge size interactions were recorded with aggregation rate (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>). In the small shelter treatment, the aggregation rate was significantly higher for the small edge (i.e., small shelter &#xd7; small edge, medium ratio) compared to the large edge (i.e., small shelter &#xd7; large edge, low ratio) at densities of 20, 25, 28, and 31 ind/unit (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3A</bold>
</xref>). In the large shelter treatment, the aggregation rate was significantly higher for the large edge (i.e., large shelter &#xd7; large edge, medium ratio) compared to the small edge (i.e., large shelter &#xd7; small edge, high ratio) at densities of 10, 25, 28 and 31 ind/unit (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3B</bold>
</xref>).</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Three-way ANOVA showing the effects of the shelter size, edge size, and conspecific density on the aggregation rate of fish.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left">Source</th>
<th valign="top" align="center">df</th>
<th valign="top" align="center">MS</th>
<th valign="top" align="center">F</th>
<th valign="top" align="center">
<italic>p</italic>
</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Shelter size</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">1.724</td>
<td valign="top" align="center">361.509</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="left">Edge size</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">0.026</td>
<td valign="top" align="center">5.538</td>
<td valign="top" align="center">0.020</td>
</tr>
<tr>
<td valign="top" align="left">Conspecific density</td>
<td valign="top" align="center">6</td>
<td valign="top" align="center">0.174</td>
<td valign="top" align="center">36.532</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="left">Shelter size &#xd7; Edge size</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">0.214</td>
<td valign="top" align="center">44.910</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="left">Shelter size &#xd7; Conspecific density</td>
<td valign="top" align="center">6</td>
<td valign="top" align="center">0.023</td>
<td valign="top" align="center">4.761</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="left">Edge size &#xd7; Conspecific density</td>
<td valign="top" align="center">6</td>
<td valign="top" align="center">0.003</td>
<td valign="top" align="center">0.524</td>
<td valign="top" align="center">0.789</td>
</tr>
<tr>
<td valign="top" align="left">Shelter size &#xd7; Edge size &#xd7; Conspecific density</td>
<td valign="top" align="center">6</td>
<td valign="top" align="center">0.006</td>
<td valign="top" align="center">1.300</td>
<td valign="top" align="center">0.261</td>
</tr>
<tr>
<td valign="top" align="left">Error</td>
<td valign="top" align="center">140</td>
<td valign="top" align="center">0.005</td>
<td valign="top" align="center"/>
<td valign="top" align="left"/>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>Aggregation rate (<italic>R</italic>) (n = 6, mean &#xb1; SE) of fat greenling (<italic>Hexagrammos otakii)</italic> under the seven density treatments in the reef unit with <bold>(A)</bold> small shelter and <bold>(B)</bold> large shelter. Different lower-case letters represent significant differences among densities for the small edge (Tukey&#x2019;s test, <italic>p</italic>&lt; 0.05); different capital letters represent significant differences among densities for the large edge (Tukey&#x2019;s test, <italic>p</italic>&lt; 0.05); * indicates a significant difference between the small edge and large edge for same density and shelter (Tukey&#x2019;s test, <italic>p</italic>&lt; 0.05).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1130626-g003.tif"/>
</fig>
<p>Conspecific density and shelter size &#xd7; conspecific density interactions also significantly affected the aggregation rate (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>). In the small shelter treatment, the aggregation rate decreased with density when density was low (density &#x2264;15 ind/unit), but showed a nonsignificant change at higher densities (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3A</bold>
</xref>). In the large shelter treatment, the aggregation rate had no significant difference at low densities (5 ind/unit&lt; density &#x2264;20 ind/unit), but began to decrease (significantly for small edge, <xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3B</bold>
</xref>) with increasing density.</p>
</sec>
<sec id="s3_1_2">
<label>3.1.2</label>
<title>Number of occupants</title>
<p>In the small edge treatment, there was no significant difference in the number of occupants (<italic>N</italic>) for small shelter versus large shelter when density was &#x2264;25 ind/unit, which was about two individuals (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4A</bold>
</xref>). As density increased, the number of occupants increased significantly (to 4&#x2013;5 individuals) for the small shelter, and to a lesser extent for the large shelter. In contrast, for the large edge treatment, the number of occupants rose with density for both the small and large shelter; however, there was no significant difference between the small and large shelter at every density (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4B</bold>
</xref>).</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Number of occupants (<italic>N</italic>) (n = 6, mean &#xb1; SE) under the seven density treatments in the reef unit with <bold>(A)</bold> small edge and <bold>(B)</bold> large edge. Different lower-case letters represent significant differences among densities for the small shelter (Tukey&#x2019;s test, <italic>p</italic>&lt; 0.05); different capital letters represent significant differences among densities for the large shelter (Tukey&#x2019;s test, <italic>p</italic>&lt; 0.05); * indicates a significant difference between small shelter and large shelter for same density and edge (Tukey&#x2019;s test, <italic>p</italic>&lt; 0.05).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1130626-g004.tif"/>
</fig>
</sec>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Distribution under external disturbance</title>
<sec id="s3_2_1">
<label>3.2.1</label>
<title>Protection rate</title>
<p>The protection rate (<italic>P</italic>) and aggregation rate (<italic>R</italic>) were positively correlated for all four reef unit structures, with the slope of regression equation &gt; 1 for the small shelter &#xd7; large edge treatment (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5C</bold>
</xref>) and &lt; 1 for the other three structures (<xref ref-type="fig" rid="f5">
<bold>Figures&#xa0;5A, B, D</bold>
</xref>). These results showed that fish aggregating around a shelter (i.e., aggregation area in <xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2B</bold>
</xref>) entered the shelter more often after disturbance. Furthermore, fish distributed in the margin area of the reef unit that were also disturbed and moved closer to enclosing bricks (<xref ref-type="supplementary-material" rid="SM1">
<bold>Figure S1</bold>
</xref>), but obtained less effective protection compared to those that entered the shelter. Therefore, the sheltering effect was determined from the aggregation rate (<italic>R</italic>) in experiments. Specifically, when the aggregation rate was higher, the sheltering effect was better. Our results showed that when combining the aggregation rates under four reef unit structures, a medium shelter-edge ratio (= 0.3) had the best sheltering effect both for large and small shelters.</p>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>Relationship between the protection rate (<italic>P</italic>) and aggregation rate (<italic>R</italic>) for the four reef unit structures: <bold>(A)</bold> small shelter and small edge, <bold>(B)</bold> large shelter and small edge, <bold>(C)</bold> small shelter and large edge, <bold>(D)</bold> large shelter and large edge. Regression lines were generated using linear regression. Black dots represent raw data points. Shaded regions represent 95% confidence intervals.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1130626-g005.tif"/>
</fig>
</sec>
<sec id="s3_2_2">
<label>3.2.2</label>
<title>Number of fish in shelter after disturbance</title>
<p>In the small edge treatment, <italic>N<sub>after</sub>
</italic> was higher for the small shelter compared to the large shelter (<xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6A</bold>
</xref>, significant at 10, 28, and 31 ind/unit). In the large edge treatment, <italic>N<sub>after</sub>
</italic> was higher for the large shelter compared to the small shelter when density was 15, 20, 25, and 28, although these differences were not significant (<xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6B</bold>
</xref>). For each reef unit structure, <italic>N<sub>after</sub>
</italic> was significantly higher than <italic>N</italic> when density was &gt;10 ind/unit (<xref ref-type="supplementary-material" rid="SM1">
<bold>Table S1</bold>
</xref>, except for 15, 25, and 31 ind/unit in the small shelter &#xd7; large edge treatment).</p>
<fig id="f6" position="float">
<label>Figure&#xa0;6</label>
<caption>
<p>Number of fish in the shelter after disturbance (<italic>N<sub>after</sub>
</italic>) (n = 6, mean &#xb1; SE) under the seven density treatments in the reef unit with <bold>(A)</bold> small edge and <bold>(B)</bold> large edge. Different lower-case letters represent significant differences among densities for the small shelter (Tukey&#x2019;s test, <italic>p</italic>&lt; 0.05); different capital letters represent significant differences among densities for the large shelter (Tukey&#x2019;s test, <italic>p</italic>&lt; 0.05); * indicates a significant difference between the small and large shelter for the same density and edge (Tukey&#x2019;s test, <italic>p</italic>&lt; 0.05).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1130626-g006.tif"/>
</fig>
</sec>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<label>4</label>
<title>Discussion</title>
<p>This study demonstrated the combined effect of covered and non-covered reef structures on fish distributions, and identified the optimal ratio for the size of these two types of structures under laboratory conditions. A reef with a large covered shelter had a better sheltering effect compared to that with a small shelter, but was limited by a small non-covered edge. In contrast, the sheltering effect of the reef with a small covered shelter was limited by a large non-covered edge compared to that with a small edge. Thus, the relative size of the shelter and edge of a reef must be moderate to enhance the sheltering effect, verifying our predictions.</p>
<sec id="s4_1">
<label>4.1</label>
<title>Effects of reef structures on fish distribution</title>
<p>Our experiments showed that the aggregation rate (<italic>R</italic>) of juvenile fat greenling primarily depended on the size of the covered shelter. The reef unit with a large shelter supported more aggregations for various edge sizes. Juvenile fat greenling preferred shelter with an internal space (<xref ref-type="bibr" rid="B46">Liu et&#xa0;al., 2018</xref>), and their aggregations were density-dependent (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>, aggregation rate decreased with conspecific density). This phenomenon was driven by intraspecific competition (<xref ref-type="bibr" rid="B6">Bostrom-Einarsson et&#xa0;al., 2013</xref>), which is common for various marine organisms, such as macrobenthos (<xref ref-type="bibr" rid="B10">Eggleston and Lipcius, 1992</xref>; <xref ref-type="bibr" rid="B54">Moksnes, 2004</xref>; <xref ref-type="bibr" rid="B45">Liu et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B53">Mirera and Moksnes, 2015</xref>). Density-dependent aggregations occurred at low densities in the treatment with a small shelter (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3A</bold>
</xref>, density &#x2264;15 ind/unit) and at higher densities with a large shelter (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3B</bold>
</xref>, density &gt;20 ind/unit). This phenomenon might be attributed to competition for shelter based on the ratio of the total number of individuals to the number of tiles (<xref ref-type="bibr" rid="B4">Berryman, 2004</xref>; <xref ref-type="bibr" rid="B63">Samhouri et&#xa0;al., 2009</xref>). Adding a tile for shelter also increased the carrying capacity, supporting more fish aggregations; consequently, density-dependent aggregations in the treatment with a larger shelter only became visible later in the gradient of fish density. Furthermore, the two sizes of edges had opposing effects on aggregations for the small and large shelter treatments, especially when fish density was higher (<italic>see Results 3.1.1</italic>). Increasing the size of the edge might attract more fish that are squeezed out of the shelter with competition, but could also interfere with the fish aggregation more strongly around the small shelter compared to the large shelter. This phenomenon might be due to the difference in attraction between the shelter and edge. Consequently, the ratio between the size of the shelter and edge represents a key factor regulating the strength of density-dependent aggregations.</p>
<p>Intraspecific competition changes the distribution patterns of animals by influencing individual behavior (<xref ref-type="bibr" rid="B8">Davey et&#xa0;al., 2009</xref>; <xref ref-type="bibr" rid="B39">Larranaga and Steingrimsson, 2015</xref>). Before being startled, two fish or so tended to be present in each central tile for the low density treatments (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4A</bold>
</xref>), supporting that fat greenling are solitary and defend their shelter against conspecifics (<xref ref-type="bibr" rid="B77">Zhang et&#xa0;al., 2021</xref>). This occupancy of the shelter might be attributed to interference competition (<xref ref-type="bibr" rid="B26">Holbrook and Schmitt, 2002</xref>; <xref ref-type="bibr" rid="B31">Kaspersson et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B20">Grabowska et&#xa0;al., 2016</xref>). While not analyzed statistically, we observed that individuals in the tile performed aggressive behaviors (e.g., threat and attack), forcing some individuals out of it. Furthermore, individuals outside of the tile also made several attempts to enter it. This phenomenon became more frequent as fish density increased.</p>
</sec>
<sec id="s4_2">
<label>4.2</label>
<title>Sheltering effects under external disturbance</title>
<p>Juvenile fat greenling exhibited shelter-seeking behavior under external disturbance, resulting in a positive relationship between the protection rate (<italic>P</italic>) and aggregation rate (<italic>R</italic>) (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5</bold>
</xref>). Of note, the slope of the regression equation for the small shelter &#xd7; large edge treatment was greater than 1 compared to other treatments, showing that fish in the margin area preferentially entered the shelter after being startled. Furthermore, fish aggregated in the covered shelter (<xref ref-type="supplementary-material" rid="SM1">
<bold>Table S1</bold>
</xref>) and temporarily gave up their territorial monopoly under disturbance, due to antipredator tactics (<xref ref-type="bibr" rid="B35">Kintzing and Butler, 2014</xref>; <xref ref-type="bibr" rid="B65">Sinopoli et&#xa0;al., 2015</xref>). This type of aggregation behavior is similar to a safety&#x2013;in&#x2013;numbers effect of social species, which helps reduce predation risk to individuals (<xref ref-type="bibr" rid="B64">Sandin and Pacala, 2005</xref>; <xref ref-type="bibr" rid="B74">White and Warner, 2007</xref>).</p>
<p>In the marine ecosystem, fish exhibit startle responses to a variety of stimulus, including the approach of predators or non-living objects and anthropogenic noise (<xref ref-type="bibr" rid="B50">McCormick and Larson, 2007</xref>; <xref ref-type="bibr" rid="B3">Benevides et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B24">Harding et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B55">Mwaffo and Vernerey, 2022</xref>). Previous studies conducted laboratory mesocosm experiments to investigate how various parameters of fish (e.g., growth, condition, physiology, and behaviors) were impacted in response to stress caused by chemical alarm cues (<xref ref-type="bibr" rid="B48">Lonnstedt and McCormick, 2015</xref>; <xref ref-type="bibr" rid="B11">Faria et&#xa0;al., 2019</xref>), sight of predator (<xref ref-type="bibr" rid="B51">Meager et&#xa0;al., 2006</xref>; <xref ref-type="bibr" rid="B19">Goldenberg et&#xa0;al., 2014</xref>), and/or mechanical disturbance (<xref ref-type="bibr" rid="B60">Ramasamy et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B25">Hess et&#xa0;al., 2019</xref>) such as knocking the wall of the tank and waving a fishing net inside the water (<xref ref-type="bibr" rid="B18">Gesto and Jokumsen, 2022</xref>). Our experiments used mechanical disturbance, in the form of an acute startling stimulus that mimicked the sudden strike of a predator. Although different to a real predator, the disturbance represents a perceived threat (<xref ref-type="bibr" rid="B60">Ramasamy et&#xa0;al., 2017</xref>), which elicits a shelter seeking response in fish, especially juveniles. Juveniles represent a particularly vulnerable life stage of reef fish, with survival being strongly influenced by the sheltering effect of ARs over a relatively short period of time (<xref ref-type="bibr" rid="B62">Ross et&#xa0;al., 2007</xref>; <xref ref-type="bibr" rid="B13">Fobert et&#xa0;al., 2020</xref>).</p>
</sec>
<sec id="s4_3">
<label>4.3</label>
<title>Designs of AR structures for sheltering</title>
<p>
<xref ref-type="bibr" rid="B7">Caley and StJohn (1996)</xref> considered that the effects of the two types of shelter (permanent and transient shelter) on fish were unavoidably confounded. Here, we assessed two types of structures in one reef (covered and non-covered structure), rather than different types of reefs. This classification of the structure is based on their differences in sheltering capacity. We proposed that the covered shelter should have a certain ratio with the non-covered edge to enhance the sheltering effect. Based on our experimental results, we proposed a ratio value (0.3) as optimal for juvenile fat greenling; however, a moderate shelter-edge ratio likely exists for the structural design of ARs, when considering the combined effects of interspecific interactions and environmental stresses. Moreover, although the reef with large shelter and edge had a better sheltering effect compared to that with small shelter and edge under the same shelter-edge ratio, it is necessary to weigh the ecological benefits versus construction costs. Intermediate reef sizes are often suggested to produce the best ratio of biomass to cost (<xref ref-type="bibr" rid="B29">Jan et&#xa0;al., 2003</xref>; <xref ref-type="bibr" rid="B59">Pondella et&#xa0;al., 2022</xref>). The trade-offs between costs and design criteria are also important considerations to enhance the sheltering effect of ARs.</p>
<p>Our study serves as a primary model for estimating the sheltering effects of reefs, before more levels of the shelter-edge ratio are considered. More complex designs (e.g., combinations of vertical reliefs and/or spacing) should be explored in future studies to identify optimal AR structures (<xref ref-type="bibr" rid="B9">Davis and Smith, 2017</xref>; <xref ref-type="bibr" rid="B58">Paxton et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B70">Taormina et&#xa0;al., 2022</xref>). In addition, the indicator of shelter-edge ratio might be species-dependent, due to the specific behavioral characteristics of fat greenling. However, this ratio would likely be viable for other reef fish and benthic organisms that are attracted to reefs that might not necessarily provide effective shelters. In conclusion, more research on the relationship between other species and reef structures should be explored to validate the novel findings of the current study.</p>
</sec>
</sec>
<sec id="s5" sec-type="conclusion">
<label>5</label>
<title>Conclusion</title>
<p>Our study highlights that the size of the covered shelter and the size of the non-covered edge are key attributes of reef structures that strongly affect the distribution of juvenile fat greenling at the laboratory scale. The relative size of the shelter and edge regulates the strength of density-dependent aggregations driven by intraspecific competition. A moderate relative size of shelter and edge is beneficial in protecting juvenile fat greenling from external disturbance. The shelter-edge ratio could be used as an indicator of shelter availability, and could be incorporated to optimize the design of AR structures.</p>
</sec>
<sec id="s6" sec-type="data-availability">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s7" sec-type="ethics-statement">
<title>Ethics statement</title>
<p>The animal study was reviewed and approved by the Institutional Animal Care and Use Committee of Beijing Normal University.</p>
</sec>
<sec id="s8" sec-type="author-contributions">
<title>Author contributions</title>
<p>YZ, TS, GD, DY, and WY contributed to design of the study. YZ, GD, DY, and QS performed the experiments. YZ performed the statistical analysis and wrote the first draft of the manuscript. TS, XW and HL reviewed drafts of the manuscript. All authors contributed to the article and approved the submitted version.</p>
</sec>
</body>
<back>
<sec id="s9" sec-type="funding-information">
<title>Funding</title>
<p>This work was supported by the National Key R&amp;D Program of China [Grant No. 2018YFC1406400]; the National Natural Science Foundation of China [Grant No. U1806217]; and the Beijing Advanced Innovation Program for Land Surface Science.</p>
</sec>
<sec id="s10" 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="s11" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors 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>
</sec>
<sec id="s12" sec-type="supplementary-material">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fmars.2023.1130626/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fmars.2023.1130626/full#supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="DataSheet_1.docx" id="SM1" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document"/>
</sec>
<ref-list>
<title>References</title>
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