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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.2023.1168953</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>Food anticipatory behaviour on European seabass in sea cages: activity-, positioning-, and density-based approaches</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Chen</surname>
<given-names>I-Hao</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/2070677"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Georgopoulou</surname>
<given-names>Dimitra G.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1299993"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Ebbesson</surname>
<given-names>Lars O. E.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1816758"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Voskakis</surname>
<given-names>Dimitris</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2337589"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Lal</surname>
<given-names>Pradeep</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1418308"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Papandroulakis</surname>
<given-names>Nikos</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/770622"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Fish Biology &amp; Aquaculture Group, Climate &amp; Environment Division, NORCE Norwegian Research Centre</institution>, <addr-line>Bergen</addr-line>, <country>Norway</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Institute of Marine Biology, Biotechnology and Aquaculture, Hellenic Center for Marine Research</institution>, <addr-line>Heraklion, Crete</addr-line>, <country>Greece</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: H&#xfc;seyin Sevgili, H&#xfc;seyin Sevgili, T&#xfc;rkiye</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Jes&#xfa;s M. M&#xed;guez, University of Vigo, Spain; Pablo Arechavala-Lopez, Spanish National Research Council (CSIC), Spain; Pierluigi Carbonara, COISPA Tecnologia &amp; Ricerca, Italy</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: I-Hao Chen, <email xlink:href="mailto:chen@norceresearch.no">chen@norceresearch.no</email>
</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>28</day>
<month>06</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>10</volume>
<elocation-id>1168953</elocation-id>
<history>
<date date-type="received">
<day>18</day>
<month>02</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>31</day>
<month>05</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Chen, Georgopoulou, Ebbesson, Voskakis, Lal and Papandroulakis</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Chen, Georgopoulou, Ebbesson, Voskakis, Lal and Papandroulakis</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>
<sec>
<title>Introduction</title>
<p>Farmed fish like European seabass (<italic>Dicentrarchus labrax</italic>) anticipate meals if these are provided at one or multiple fixed times during the day. The increase in locomotor activity is typically known as food anticipatory activity (FAA) and can be observed several hours prior to feeding. Measuring FAA is often done by demand feeders or external sensors such as cameras or light curtains. However, purely locomotor-activity-based FAA may provide an incomplete view of feeding and prefeeding behaviour.</p>
</sec>        <sec>
<title>Methods</title>
<p>Here, we show that FAA can be measured through passive acoustic telemetry utilising three different approaches and suggest that adding more means to food anticipation detection is beneficial. We compared the diving behaviour, acceleration activity, and temperature of 22 tagged individuals over the period of 12 days and observed FAA through locomotor activity, depth position, and density-based unsupervised clustering (i.e., DBSCAN).</p>
</sec>        <sec>
<title>Results</title>
<p>Our results demonstrate that the position- and density-based methods also provide expressions of anticipatory behaviour that can be interchangeable with locomotor-driven FAA or precede it.</p>
</sec>        <sec>
<title>Discussion</title>
<p>We, therefore, support a unified framework for food anticipation: FAA should only describe locomotor-driven FAA. Food anticipatory positioning (FAP) should be a term for position-based (P-FAP) and density-based (D-FAP) methods for food anticipation. Lastly, FAP, together with the newly defined FAA, should become part of an umbrella term that is already in use: food anticipatory behaviour (FAB). Our work provides data-driven approaches to each FAB category and compares them with each other. Furthermore, accurate FAB windows through FAA and FAP can help increase fish welfare in the aquaculture industry, and the more approaches available, the more flexible and more robust the usage of FAB for a holistic view can be achieved.</p>
</sec>
</abstract>
<kwd-group>
<kwd>tags</kwd>
<kwd>precision fish farming</kwd>
<kwd>terminology</kwd>
<kwd>acceleration activity</kwd>
<kwd>feeding behavior</kwd>
<kwd>food anticipation</kwd>
</kwd-group>
<contract-sponsor id="cn001">Norges Forskningsr&#xe5;d<named-content content-type="fundref-id">10.13039/501100005416</named-content>
</contract-sponsor>
<contract-sponsor id="cn002">Horizon 2020 Framework Programme<named-content content-type="fundref-id">10.13039/100010661</named-content>
</contract-sponsor>
<counts>
<fig-count count="10"/>
<table-count count="0"/>
<equation-count count="1"/>
<ref-count count="57"/>
<page-count count="13"/>
<word-count count="8105"/>
</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">
<title>Introduction</title>
<sec id="s1_1">
<title>Food anticipatory behaviour</title>
<p>Food anticipatory activity (FAA) generally describes how individuals display preparatory patterns prior to food intake. Generally, understanding the feeding and prefeeding behaviour of farmed fish species can help farmers reduce feeding costs by optimising feeding regimes that are tuned toward appetite. More knowledge specifically about FAA can lead to increased welfare by taking the mental state of the fish into account, as FAA is a sensitive nonphysiological welfare indicator (<xref ref-type="bibr" rid="B12">Colson et&#xa0;al., 2019</xref>). Ever since the introduction of the concept (<xref ref-type="bibr" rid="B42">Richter, 1922</xref>) for rodents, there have been research efforts to expand knowledge about FAA for various vertebrate species, ranging from rats (<xref ref-type="bibr" rid="B29">Mistlberger et&#xa0;al., 2012</xref>) to fish in general (<xref ref-type="bibr" rid="B51">Spieler, 1992</xref>), but also specifically to European seabass (<italic>Dicentrarchus labrax</italic>) (<xref ref-type="bibr" rid="B4">Azzaydi et&#xa0;al., 1998</xref>).</p>
<p>Daily demand-feeding can entrain European (E.) seabass to exhibit FAA from 30 to 60 min prior to feed intake, and there is a positive correlation between FAA duration and dawn/dusk times (<xref ref-type="bibr" rid="B6">Azzaydi et&#xa0;al., 2007</xref>). Simultaneously, E. seabass display flexibility toward temporal distortions in their feeding schedule (<xref ref-type="bibr" rid="B47">S&#xe1;nchez-V&#xe1;zquez et&#xa0;al., 1995</xref>). While it is widely understood that food can act like a time giver besides photoperiod, the underlying mechanism to express it is not completely clear (<xref ref-type="bibr" rid="B52">Stephan, 2002</xref>), neither is the correlation between them well understood (<xref ref-type="bibr" rid="B36">Pendergast et&#xa0;al., 2012</xref>). The photoperiod-entrained rhythm seems to be a stronger time giver than the feed-entrained circadian rhythm if the feeding schedule consists of two meals a day (<xref ref-type="bibr" rid="B26">Lanteri et&#xa0;al., 2016</xref>). At the same time, the case of E. seabass is more complex since the species exhibits a certain plasticity in their circadian rhythm (<xref ref-type="bibr" rid="B40">Reebs, 2002</xref>). In fish species, there is an activity-biased history of FAA measurement through locomotor activity (<xref ref-type="bibr" rid="B44">S&#xe1;nchez-V&#xe1;zquez et&#xa0;al., 1996</xref>; <xref ref-type="bibr" rid="B45">S&#xe1;nchez-V&#xe1;zquez et&#xa0;al., 1997</xref>; <xref ref-type="bibr" rid="B46">S&#xe1;nchez-V&#xe1;zquez and Tabata, 1998</xref>; <xref ref-type="bibr" rid="B14">Fl&#xf4;res et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B26">Lanteri et&#xa0;al., 2016</xref>), often by passive infrared sensors (<xref ref-type="bibr" rid="B55">Takasu et&#xa0;al., 2012</xref>; <xref ref-type="bibr" rid="B57">Xu et&#xa0;al., 2022</xref>) or passing a mean activity threshold through feed-demand (<xref ref-type="bibr" rid="B4">Azzaydi et&#xa0;al., 1998</xref>).</p>
<p>Studies on fish positioning can be found as early as in <xref ref-type="bibr" rid="B41">Reebs and Gallant (1997)</xref>, where food anticipation in golden shiners (<italic>Notemigonus crysoleucas</italic>) was studied as a mix of swimming activity and frequent proximity to the surface where the food was given. General feeding place proximity prior to feeding in convict cichlids (<italic>Cichlasoma nigrofasciatum</italic>) was shown in <xref ref-type="bibr" rid="B38">Reebs (1993)</xref> as an indicator for food anticipation. When only one corner served as a food source, the fish were observed being close to the corner frequently after food signalling. With multiple corners as food sources throughout the day, they failed to connect each corner to a specific mealtime and instead visited all corners. Nonetheless, locomotor activity-driven food anticipation is more dominantly presented in book chapters (<xref ref-type="bibr" rid="B43">S&#xe1;nchez-V&#xe1;zquez and Madrid, 2001</xref>).</p>
<p>Even though <xref ref-type="bibr" rid="B28">Mistlberger (1994)</xref> included the close positioning to where the animal expects to feed in the definition of FAA, at least for fish, using density- or position-reliant anticipation measurements in recent times often fall under the term food anticipatory behaviour (FAB) instead of FAA. Density analysis has been used to track conditioned food anticipation in Atlantic salmon (<italic>Salmo salar</italic>) (<xref ref-type="bibr" rid="B15">Folkedal et&#xa0;al., 2012a</xref>), and in <xref ref-type="bibr" rid="B16">Folkedal et&#xa0;al. (2012b)</xref>, salmon parr recovered physiologically after stressful situations, but the measured FAB was reduced for a longer period, which makes FAB a welfare indicator that is not bound to physiological measurements. Fish farmers could profit from synchronizing feeding schedules with measurements of food anticipation to optimize animal welfare.</p>    <p>In a less controlled environment like the open sea, purely relying on tracking locomotor activities using solely external sensors such as cameras can be challenging due to the number of individuals, the locality of cameras, and fish occlusion, as described in <xref ref-type="bibr" rid="B19">F&#xf8;re et&#xa0;al. (2018a)</xref>. Therefore, using internal sensors as acoustic tags can provide information about the fish regardless of its position in the sea cage. The additional depth data also opens up more possibilities besides tracking acceleration. Using depth information, we present the term food anticipatory positioning (FAP), which provides insights into the dense positioning of fish near the surface prior to feeding. Using unsupervised machine learning methods to track density distributions rather than immediately visible activity levels is part of the transition from experience- to knowledge-driven approaches within the framework of precision fish farming (<xref ref-type="bibr" rid="B19">F&#xf8;re et&#xa0;al., 2018a</xref>). Notably, FAA, in conjunction with FAP, must not necessarily have the same time windows or intensity per definition but can together deliver a more holistic overview of the same fish welfare aspect.</p>
</sec>
<sec id="s1_2">
<title>Acoustic telemetry</title>
<p>In terms of individual fish tracking, acoustic telemetry has certain advantages against cameras and has applications in varied indicators of fish welfare in aquaculture (<xref ref-type="bibr" rid="B7">Barreto et&#xa0;al., 2022</xref>). It reaches out to individual observations, is a form of wireless communication, and is not impaired by fish density (or fish occlusions), water signal attenuation, or noise (<xref ref-type="bibr" rid="B18">F&#xf8;re et&#xa0;al., 2017</xref>). The electronic transmitters can be equipped  with several sensors to yield a variety of information, including the depth, temperature, acceleration, and position of the individual fish. These data sources can be used in conjunction to draw conclusions about different behavioural or physiological states of the fish, as is the case with Atlantic salmon, which dominates as captive fish species where acoustic telemetry is used (<xref ref-type="bibr" rid="B17">F&#xf8;re et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B25">Kolarevic et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B20">F&#xf8;re et&#xa0;al., 2018b</xref>; <xref ref-type="bibr" rid="B53">Stockwell et&#xa0;al., 2021</xref>).</p>
<p>There is, however, an increasing number of studies using acoustic telemetry on farmed fish species in the Mediterranean Sea. In gilthead seabream (<italic>Sparus aurata</italic>), the swimming behaviour was characterized by individual tagging (<xref ref-type="bibr" rid="B31">Mu&#xf1;oz et&#xa0;al., 2020</xref>), and the limitations of using acceleration as a proxy for swimming behaviour were analysed (<xref ref-type="bibr" rid="B33">Palstra et&#xa0;al., 2021</xref>). Earlier work by <xref ref-type="bibr" rid="B50">Schurmann et&#xa0;al. (1998)</xref> monitored changes in the vertical distribution of E. seabass with acoustic transmitters in an indoor tank. There is also work showing that tag implants are favourable over external tags for juvenile seabass when assessing swimming activity (<xref ref-type="bibr" rid="B9">B&#xe9;gout Anras et&#xa0;al., 2003</xref>). One behaviour study analysed the post-escaping behaviour of E. seabass using an array of acoustic receivers distributed around the test sea cage to track fish occurrences (<xref ref-type="bibr" rid="B3">Arechavala-Lopez et&#xa0;al., 2011</xref>). In another study, external acoustic sensors measured the response of E. seabass to noise exposure (<xref ref-type="bibr" rid="B32">Neo et&#xa0;al., 2018</xref>), using variables derived from the sensors such as swimming speed and swimming depth in a floating pen system. Lastly, <xref ref-type="bibr" rid="B2">Alfonso et&#xa0;al. (2022)</xref> introduced acoustic telemetry as a potential tool for welfare monitoring using a flow-through system with swim tunnels to map the energy cost of E. seabass through the so-called <italic>critical swimming test</italic>. This variable also finds usage in other telemetry studies, as in <xref ref-type="bibr" rid="B11">Carbonara et&#xa0;al. (2020)</xref>, where muscular activity was measured. Therefore, using acoustic telemetry as a monitoring tool to map out food anticipation as a welfare factor seemed promising.</p>
</sec>
<sec id="s1_3">
<title>Main contribution</title>
<p>The main contribution of this work entails partly novel data-driven methods to measure locomotor-driven (classical) food anticipatory activity and food anticipatory positioning (FAP), which we split further into position-based FAP (P-FAP) and density-based FAP (D-FAP). We use FAB as the umbrella term for all kinds of food anticipation deviations (see <xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>). Using the same acoustic telemetry data source for all three FAB types (FAA, P-FAP, and D-FAP), we compare the types and discuss why adding FAP may provide new insights into a more holistic view of farmed fish welfare.</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>A unified terminology framework: food anticipatory behaviour (FAB) becomes the umbrella term encompassing food anticipatory activity (FAA) and food anticipatory positioning (FAP). FAA focuses solely on locomotor-driven methods; FAP splits into subcategories for density-based (D-FAP) or position-based (P-FAP) methods.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1168953-g001.tif"/>
</fig>
</sec>
</sec>
<sec id="s2" sec-type="materials|methods">
<title>Material and methods</title>
<sec id="s2_1">
<title>Receivers and transmitters</title>
<p>The vertical distribution, the swimming acceleration activity, and the temperature were measured by an array of three acoustic receivers (TBR700, Thelma Biotel Ltd.). The three receivers were submerged in the floating ring of the sea cage with the help of ropes to a depth of 2.5 m. The GPS positions in decimal degrees (N, E) formed a triangle: (<inline-formula>
<mml:math display="inline" id="im1">
<mml:mrow>
<mml:mn>35.48011</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula>
<mml:math display="inline" id="im2">
<mml:mrow>
<mml:mn>24.112</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>), (<inline-formula>
<mml:math display="inline" id="im3">
<mml:mrow>
<mml:mn>35.48006</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula>
<mml:math display="inline" id="im4">
<mml:mrow>
<mml:mn>24.11209</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>), and (<inline-formula>
<mml:math display="inline" id="im5">
<mml:mrow>
<mml:mn>35.48</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula>
<mml:math display="inline" id="im6">
<mml:mrow>
<mml:mn>24.11196</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>). The acoustic tags used for implantation were low-power transmitters (ADT-LP7, Thelma Biotel Ltd.) with the following specifications from the producer: a diameter of 7.3 mm, a length of 23.2 mm, a weight in the air/water of 2.1 g/1.1 g (1.8 g measured weight in water in <xref ref-type="bibr" rid="B21">Georgopoulou et&#xa0;al., 2022</xref>), and a power output of 139 dB. The signal interval for depth is every 30&#x2013;90 s (mean 60 s), and alternately, temperature or activity (mean 120 s). The transmitters measured depth through water pressure sensors with a resolution of 0.1 m. The temperature was measured with a temperature sensor, which has a resolution of 0.1 &#xb0;C. The activity is measured in metres per square second using a three-axis accelerometer in each tag, which uses the root mean square over the three acceleration axes. The resolution was <inline-formula>
<mml:math display="inline" id="im7">
<mml:mrow>
<mml:mn>0.013588</mml:mn>
<mml:mo>&#xa0;</mml:mo>
<mml:mtext>m</mml:mtext>
<mml:mo stretchy="false">/</mml:mo>
<mml:msup>
<mml:mtext>s</mml:mtext>
<mml:mn>2</mml:mn>
</mml:msup>
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</mml:math>
</inline-formula> with a range from 0 to <inline-formula>
<mml:math display="inline" id="im8">
<mml:mrow>
<mml:mn>3.465</mml:mn>
<mml:mo>&#xa0;</mml:mo>
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</inline-formula>. The tags are calibrated such that the static component in acceleration readings (gravity and sensor offset) is subtracted from the total acceleration, resulting in animal acceleration readings. The transmitter tags were evenly distributed among the available frequencies (67, 69, and 71 kHz) to minimise the overlapping of signals. For details about the transmitter tag&#x2019;s implantation into the peritoneal cavity of the fish, we refer to <xref ref-type="bibr" rid="B21">Georgopoulou et&#xa0;al. (2022)</xref>.</p>
<p>One additional synchronization tag (R-HP16, Thelma Biotel Ltd.) was attached to one of the receivers for reference in order to use positioning calculations (PinPoint positioning system, Thelma Biotel Ltd., Norway, see Section "Expanding the dataset"). It has the following specifications: a diameter of 16 mm, a length of 70 mm, a weight in air/water of 29 g/14.9 g, a power output of 158 dB, and a frequency of 69 kHz.</p>
</sec>
<sec id="s2_2">
<title>Fish and tag implantation details</title>
<p>A whole E. seabass group was reared at the Hellenic Center of Marine Research (HCMR) in Crete, Greece. Fish originated from the Mesocosm hatchery of the AquaLabs, IMBBC of HCMR. Following larval rearing, pregrowing, and 120 days posthatching, juveniles with approximately 2 g mean weight were transferred to the pilot-scale cage farm of the institute (Souda Bay, Crete). The sea cage is made of a circular polyester cage with 40 m in diameter and 9 m in depth. The cage form is cylinder-shaped up to 8 m depth and has a cone that closes the cage at 9 m. More than 10,000 fish individuals were held in the sea cage in total.</p>
<p>This study continues the monitoring of the same 24 tagged E. seabass individuals that have been used in the study of <xref ref-type="bibr" rid="B21">Georgopoulou et&#xa0;al. (2022)</xref>, where the implantation process for these fish is described in detail and also group swimming features postoperation are analysed. We present key points from the surgical procedure:</p>
<p>The fish of 32.17 &#xb1; 6.4 cm in length and 398.2 &#xb1; 73.3 g in weight, were caught from the sea cage and put into a tank of 10 <inline-formula>
<mml:math display="inline" id="im9">
<mml:mrow>
<mml:msup>
<mml:mtext>m</mml:mtext>
<mml:mn>3</mml:mn>
</mml:msup>
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</inline-formula> volume at the HCMR facilities. The fish collection was random regarding sex. The sea cage to tank transfer was on 26 March 2021, the tag implantation on 26 April 2021, and the reintroduction into the sea cage was on 14 May 2021. In the tank period, the fish were fed once a day around 12:00. The tags were implanted in the peritoneal cavity of the fish, and the tag-to-body-weight ratio was under 2% (<xref ref-type="bibr" rid="B24">Jepsen et&#xa0;al., 2005</xref>). All fish survived the tag implantation treatment, and no additional invasive operations were conducted on the fish.</p>
<p>During the harvesting after the experiment, 22 of the tags could be recovered successfully.</p>
</sec>
<sec id="s2_3">
<title>Experimental design</title>
<p>The time window of the experiment was from 26 May 2021 at 00:00:00 to 06 June 2021 at 23:59:59 local time. The experiment started 1 month after the tag implantation, and the fish had 12 days of rehabilitation in the sea cage. The receivers were installed 2 days prior to the start of the experiment for testing purposes. The deactivation of the transmitters on 06 June 2021 marked the end of the data collection. The fish were manually fed once a day between 8:00 and 10:00. Commercial food pellets (Zoonomi S.A., Greece) were used for feeding. The feed quantity was approximately 35 kg per feeding. The feeding was done by hand, and the whole feeding process took around 30 min/day. First feed had to be transported to the sea cage, then spread manually by hand at the sea cage before leaving the vicinity. The time spent feeding the fish took 5&#x2013;10 min.</p>
<p>For analysis, we split the sea cage into three depth segments: the upper water column ranged from 0 to 3 m depth, the middle water column ranged from 3 to 6 m depth, and the lower water column ranged from 6 to 9 m depth.</p>
</sec>
<sec id="s2_4">
<title>Data collection and processing</title>
<p>The process of data collection and processing was similar to <xref ref-type="bibr" rid="B31">Mu&#xf1;oz et&#xa0;al. (2020)</xref>, since the same technology had been applied. Each data point in the dataset was a received signal with the parameters time, depth, and temperature/activity. A valid data point had been created if a signal sent by a transmitter is received by all three receivers with the same value, which also allows for GPS calculation. For the respective stages of refining the dataset, let <italic>n</italic> denote the number of valid data points from the transmitters in the dataset and <italic>k</italic> the number of total receiver data points (<inline-formula>
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<mml:msub>
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</inline-formula> for the receivers respectively). Theoretically, the maximum number of valid transmitter data points is:</p>
<disp-formula>
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</mml:mrow>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>24</mml:mn>
</mml:mtd>
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<mml:mtr>
<mml:mtd>
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<mml:mn>12</mml:mn>
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<mml:mrow>
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</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
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<mml:mo>&#xd7;</mml:mo>
<mml:mn>24</mml:mn>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
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</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mn>414</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>720</mml:mn>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mtext>valid&#xa0;data&#xa0;points</mml:mtext>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mtext>&#xa0;</mml:mtext>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:math>
</disp-formula>
<p>At the end of the experiment, the software ComPort (Thelma Biotel, v4.0.0) was used to download data (number of received signals in total: <inline-formula>
<mml:math display="inline" id="im11">
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>199</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>017</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>) from the receivers and to filter the raw data from a technical standpoint. Only signals inside the experimental window were kept. Exclusions were also due to technical failures that caused random re- and deactivation of tags after the experiment. False detection (i.e., not listed IDs for transmitters) occurred due to the so-called collisions between acoustic signals sent by transmitters, and signals from the two missing tags were filtered, resulting in a total of <inline-formula>
<mml:math display="inline" id="im12">
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>54</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>494</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> data points. Horizontal position estimations were postcalculated by the manufacturer using triangulation based on the time differences of arrival from received signals (PinPoint positioning system, Thelma Biotel Ltd., Norway) by using the synchronization tag for reference. By the manufacturer&#x2019;s procedure, a value called heatpoint deviation of optimal position (HDOP) was calculated, which shows the mean deviation between the calculated position and the known positions, thus a deviation error parameter. We refer to <xref ref-type="bibr" rid="B31">Mu&#xf1;oz et&#xa0;al. (2020)</xref> for more explanation. We applied multiple other filters to the dataset. One of them was the signal&#x2013;noise ratio (SNR), which gives a quality measurement of the signal itself. The SNR bandwidth filter was <inline-formula>
<mml:math display="inline" id="im13">
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">[</mml:mo>
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<mml:mo>&#xa0;</mml:mo>
<mml:mtext>dB</mml:mtext>
<mml:mo>,</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mn>50</mml:mn>
<mml:mo>&#xa0;</mml:mo>
<mml:mtext>dB</mml:mtext>
</mml:mrow>
<mml:mo stretchy="false">]</mml:mo>
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</mml:mrow>
</mml:math>
</inline-formula> (<inline-formula>
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<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mo>=</mml:mo>
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<mml:mo>,</mml:mo>
<mml:mn>477</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>). The HDOP filter was set to <inline-formula>
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<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">[</mml:mo>
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<mml:mo>&#xa0;</mml:mo>
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<mml:mtext>m</mml:mtext>
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<mml:mo stretchy="false">]</mml:mo>
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</mml:mrow>
</mml:math>
</inline-formula> (<inline-formula>
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<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>28</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>963</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>). We assumed fish temperature to be normally distributed for each individual (around the seawater temperature), resulting in only keeping data points with temperature values lying between &#x2212;3 and 3 standard deviations (<italic>z</italic>-score). Finally, we only include data that have sensible depth values of 0 to 9 m (<inline-formula>
<mml:math display="inline" id="im17">
<mml:mrow>
<mml:msub>
<mml:mi>n</mml:mi>
<mml:mrow>
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</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mn>28</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>952</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>). The time resolution of the left signal data from the 22 transmitters in this study showed a median of 6.18 min (<inline-formula>
<mml:math display="inline" id="im18">
<mml:mrow>
<mml:mtext>IQR</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mn>14.71</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>2.51</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>) in the experiment window. Status data from the receivers (i.e., temperature) (<inline-formula>
<mml:math display="inline" id="im19">
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mo>=</mml:mo>
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<mml:mo>,</mml:mo>
<mml:mn>008</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>) were not filtered except for the application of the experiment window (<inline-formula>
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<mml:mrow>
<mml:msub>
<mml:mi>k</mml:mi>
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</mml:mrow>
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<mml:mo>=</mml:mo>
<mml:mn>5</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>184</mml:mn>
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</mml:math>
</inline-formula>, <inline-formula>
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<mml:mrow>
<mml:msub>
<mml:mi>k</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>k</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>k</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>728</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>). The time resolution of the receivers is exactly 10 min. Altogether, the postprocessed valid dataset has <inline-formula>
<mml:math display="inline" id="im22">
<mml:mrow>
<mml:msub>
<mml:mi>n</mml:mi>
<mml:mrow>
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</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mn>28</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>952</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> valid transmitter data points and the receiver dataset <inline-formula>
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<mml:mrow>
<mml:msub>
<mml:mi>k</mml:mi>
<mml:mrow>
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</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
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<mml:mo>,</mml:mo>
<mml:mn>184</mml:mn>
</mml:mrow>
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</inline-formula> data points.</p>
<p>We could not identify stress events for the fish in the data, and the number of outliers (<inline-formula>
<mml:math display="inline" id="im24">
<mml:mrow>
<mml:msub>
<mml:mi>n</mml:mi>
<mml:mrow>
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</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mn>11</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>) is more likely due to the collision of signals. Neither net cleaning nor harvesting was conducted at or in the vicinity of the sea cage during the experiment. The weather conditions were stable with sunny/partly sunny, warm, and rainless days.</p>
</sec>
<sec id="s2_5">
<title>Unconstrained dataset without validation</title>
<p>If we applied the same filtering mechanisms as described in Section "Data collection and processing" to the <inline-formula>
<mml:math display="inline" id="im25">
<mml:mrow>
<mml:mn>384</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>868</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> signals received during the experiment period, but without the constraints that the transmitter signals have to be received by all three receivers or that the received signals must have the same value, then we get a total of <inline-formula>
<mml:math display="inline" id="im26">
<mml:mrow>
<mml:msub>
<mml:mi>m</mml:mi>
<mml:mrow>
<mml:mtext>final</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mn>378</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>391</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> transmitter data points that do not contain horizontal positioning data (no triangulation). We did include this dataset, called the unconstrained dataset only in a comparative way with the valid dataset, as we cannot guarantee confidence in the data foundation. In marine studies where multiplying the receiver number in close proximity is not possible, for example, in the open sea with a wide receiver array where acoustic signals are picked up by one receiver at best, it is not applicable to use data redundancies to create a dataset in which higher confidence can be placed in. The unconstrained dataset will be also provided along with the valid dataset nonetheless for the sake of completeness.</p>
</sec>
<sec id="s2_6">
<title>Clustering with DBSCAN</title>
<p>Density-based spatial clustering of applications with noise (DBSCAN) (<xref ref-type="bibr" rid="B13">Ester et&#xa0;al., 1996</xref>) was used in the vertical-temporal analysis to identify high-density areas, meaning a high number of transmitter signals in the same vertical area during short time periods. The method was used with the standard parameter <italic>&#x3f5;</italic>=0.5 and a chosen number of minimal samples of 300. In sea cage terms, the choice of &#x3b5; translates to the measure that, for example, two points closer than 0.5m depth distance with no time difference or points with half an hour time lag and no depth difference will have the Euclidean distance of 0.5 and therefore be considered neighbours. The parameter minimal samples describe the minimal number of points required in the <italic>&#x3f5;</italic>-neighbourhood of a point for it to be a so-called core point. The point itself is always in its own neighbourhood. The choice of <italic>minimal samples</italic> was naively put together based on the number of signals in the dataset. Dividing <inline-formula>
<mml:math display="inline" id="im27">
<mml:mrow>
<mml:msub>
<mml:mi>n</mml:mi>
<mml:mrow>
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</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mn>28</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>952</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> up across 24 h and nine 1-m-depth columns, we would expect <inline-formula>
<mml:math display="inline" id="im28">
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mn>28</mml:mn>
<mml:mo>,</mml:mo>
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<mml:mo stretchy="false">/</mml:mo>
<mml:mn>24</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo stretchy="false">/</mml:mo>
<mml:mn>9</mml:mn>
<mml:mo>&#x2248;</mml:mo>
<mml:mn>134</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> data points per hour per 1m water column if data points were evenly distributed. In total, 300 data points were chosen as a threshold for a density cluster. The resulting clusters are mutually intra-density-connected, and isolated points were labelled as noise points. The results were mathematically deterministic (<xref ref-type="bibr" rid="B49">Schubert et&#xa0;al., 2017</xref>), meaning that execution of the code without changes to the published data will give the same clustering result as presented. The implementation from the Python package scikit-learn (<xref ref-type="bibr" rid="B35">Pedregosa et&#xa0;al., 2011</xref>) was used. However, we precalculated the Euclidean distances ourselves prior to the execution of the library code in order to account for the periodic nature of the hours of the day. For example, two data points sharing the same depth value but having the timestamps 00:01 and 23:59, respectively, should naturally have a time distance of 2 min for clustering, but that value would, by standard application of the Euclidean distance, be 23 and 58 min.</p>
</sec>
<sec id="s2_7">
<title>Sunrise and sunset times</title>
<p>Sunrise and sunset were not fixed for the duration of the experiment. A 24-h day was therefore split into night, civil twilight, nautical twilight, astronomical twilight, and day, with their respective times extracted from <xref ref-type="bibr" rid="B22">Geoscience Australia (2021)</xref> to adjust for photoperiod-related behaviour.</p>
</sec>
<sec id="s2_8">
<title>Quantification and statistical analysis</title>
<p>All statistical analyses were conducted using Python (v.3.9 and several packages) as well as R (v.4.2). On the unconstrained transmitter dataset, values were weighted after the number of receivers that caught the signal with that specific value. In all statistical analyses, the data were mean-binned (or count-binned) over 20-min periods, resulting in statistical units like mean acceleration, mean temperature, and mean depth per 20 min. Permutation tests between the different water columns with respect to time, with the sample mean difference as test statistics, were used. Kolmogorov&#x2013;Smirnov goodness-of-fit tests were used between the two kinds of temperature data (transmitter valid, receivers) and between the activity data from the valid transmitter data and the depth data to find out if the data samples were originating from the same underlying distribution. The Pearson correlation coefficient had been calculated between the receiver temperature data and the fish activity data. A Kruskal&#x2013;Wallis test was performed on the diving behaviour to test if the fish followed a specific hourly diving pattern. A <italic>p</italic>-value of <inline-formula>
<mml:math display="inline" id="im29">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mo>&lt;</mml:mo>
<mml:mn>0.05</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> was considered significant.</p>
<p>We followed the two typical conditions of activity peak and peak persistence for fish (<xref ref-type="bibr" rid="B43">S&#xe1;nchez-V&#xe1;zquez and Madrid, 2001</xref>) and chose a similar strategy as <xref ref-type="bibr" rid="B6">Azzaydi et&#xa0;al. (2007)</xref> did in their study on E. seabass, where the fish were under natural conditions in an outdoor laboratory. We note that the fish in <xref ref-type="bibr" rid="B6">Azzaydi et&#xa0;al. (2007)</xref> had only around a third of the weight as the ones in our study, but since measuring FAA is using the fish themselves as a baseline, the measurements should only differ in the absolute values. Instead of defining FAA as a 50% increase in activity against a baseline and calculating the FAA duration as the time the activity lasted, we set up the following for locomotor-activity-based FAA:</p>
<p>1. The activity level must be over the 0.5 quantile for the respective 24-h day.</p>
<p>2. The increased level of activity persists over six 20-min periods (120 min).</p>
<p>If both criteria were fulfilled, we noted that we were able to detect FAA. This setup has the advantage that it is more data-driven; we do not need to establish a baseline at certain times whose choice could be operator-biased and thereby decrease manual tuning.</p>
<p>With 120 min as the minimum required time window, we expect that this will always be fulfilled by the feeding activity; therefore, the minimum FAA time window of 0 min is reachable. This ensures that the algorithm is falsifiable in the FAA detection. The algorithmically obtained high-activity windows were reduced to FAA time windows by only keeping high-activity windows before 8:00 (when the feeding period starts). For later comparison between the different FAB approaches, we considered FAA on the whole activity dataset for the hours of the day and without the algorithmic constraint that the high-activity time windows are cut off at 8:00. Additionally, the mean-binning was set to 5-min periods due to the abundance of data points when using the hours of the day. A seasonal decomposition was calculated on the activity data throughout the hours of the day.</p>
<sec id="s2_8_1">
<title>Pseudo-random interval shuffling</title>
<p>A pseudo-random baseline for the time was created by the pseudo-random interval shuffling (PIS) procedure, which is similar to the inter-spike interval (ISI) shuffling procedure (<xref ref-type="bibr" rid="B56">Vinepinsky et&#xa0;al., 2020</xref>) to dismantle information (i.e., temporal) between intervals. Instead of identifying spike trains, all 20-min resamplings (by mean or count) were shuffled by pseudo-random permutation. The time of day distribution for each water column was Chi-square tested against multiple (<inline-formula>
<mml:math display="inline" id="im30">
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>10</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>000</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>) PIS baselines. The resulting <italic>p</italic>-values were then combined by Fisher&#x2019;s method.</p>
</sec>
</sec>
</sec>
<sec id="s3" sec-type="results">
<title>Results</title>
<sec id="s3_1">
<title>Diving behaviour</title>
<p>
<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref> visualizes the vertical fish distribution in the water column using a binning into the time of day (day, various twilights, and night). <xref ref-type="fig" rid="f3">
<bold>Figures&#xa0;3A, B</bold>
</xref> shows the vertical fish distribution created using 2-h periods for binning, from sunrise to sunset.</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Fish distribution in the water column over daytime intervals: <italic>x</italic>-axis&#x2014;density of fish (normalized as per cent) (0&#x2013;100); <italic>y</italic>-axis&#x2014;depth in metres (0&#x2013;9 m). The time intervals are shaded accordingly: night (black), astronomical twilight (dark grey), nautical twilight (grey), civil twilight (light grey), and day (white).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1168953-g002.tif"/>
</fig>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>Fish distribution in the water column over daytime intervals <bold>(A)</bold> and a time-shuffled version <bold>(B)</bold>. The x-axis: Density of fish (normalized as percent) (0-100), y-axis: Depth in m (0-9m). The time intervals are shaded accordingly: Sunrise to 8:00 (very dark grey, 8:00-10:00 (dark grey), 10:00-12:00 (very light grey), 12:00-14:00 (white), 14:00-16:00 (light grey), 16:00 to sunset (darker grey).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1168953-g003.tif"/>
</fig>
<p>When counting the different twilight types (official, nautical, astronomical) as part of the time of day &#x201c;day&#x201d;, we observe that the day proportion of the 24-h day across the water columns is rather uniform with 70.71% (&#xb1; 4.1%) (see <xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>). On the other hand, the vertical distribution of fish individuals is not uniform; individuals have different preferences in depth (see <xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref>; in total, the median was 3.3 with IQR = 5 &#x2212; 1.6).</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>The preferred vertical water column position of the tagged fish individuals split by day (red) and night (blue). The <italic>x</italic>-axis describes the fish number identifier, and the <italic>y</italic>-axis is the depth in metres (reversed axis for visualization).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1168953-g004.tif"/>
</fig>
<p>A Kruskal&#x2013;Wallis test was conducted to examine the differences in the hourly diving pattern, which resulted in significant differences (<inline-formula>
<mml:math display="inline" id="im31">
<mml:mrow>
<mml:msup>
<mml:mi>&#x3c7;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>=</mml:mo>
<mml:mn>288.24</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula>
<mml:math display="inline" id="im32">
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>f</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>23</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula>
<mml:math display="inline" id="im33">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mo>&lt;</mml:mo>
<mml:mn>0.05</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>). On a group level, the diel vertical movement included that fish are near the surface longer and denser in the morning compared to a shorter evening spike (see <xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5</bold>
</xref>). Generally, fish appear to avoid the surface between 12:00 and 17:00, and at night, the whole water column is used (see <xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5</bold>
</xref>).</p>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>Diving behaviour of the tagged fish. The <italic>x</italic>-axis describes the hours of the day, and the y-axis describes the depth in metres. The brighter the colour, the denser the fish were at that time-depth bin. The horizontal dashed red line at 2 m depth emphasizes the very upper water column.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1168953-g005.tif"/>
</fig>
</sec>
<sec id="s3_2">
<title>Activity and temperature</title>
<p>The average activity levels followed a 24-h period with the highest peak for the respective day consistently being between 6:00 and 10:00 (see <xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6</bold>
</xref> for activity levels, dark blue line). The average activity of the time series was <inline-formula>
<mml:math display="inline" id="im34">
<mml:mrow>
<mml:mn>0.77</mml:mn>
<mml:mo>&#xa0;</mml:mo>
<mml:mtext>m</mml:mtext>
<mml:mo stretchy="false">/</mml:mo>
<mml:msup>
<mml:mtext>s</mml:mtext>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>&#xb1;</mml:mo>
<mml:mn>0.41</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>, ranging from 0.095 to <inline-formula>
<mml:math display="inline" id="im35">
<mml:mrow>
<mml:mn>3.465</mml:mn>
<mml:mo>&#xa0;</mml:mo>
<mml:mtext>m</mml:mtext>
<mml:mo stretchy="false">/</mml:mo>
<mml:msup>
<mml:mtext>s</mml:mtext>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>. Under the seasonal decomposition (see <xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7</bold>
</xref>), stability (variance of mean) was under 0.1 and lumpiness (variance of variance) was under 0.01. The seasonal decomposition leads to a trend strength of 0.9 and a seasonality strength of 0.35. The spectral entropy value of the activity time series is 0.37.</p>
<fig id="f6" position="float">
<label>Figure&#xa0;6</label>
<caption>
<p>Mean acceleration activity profile of tagged fish (dark blue, with 1 SD in grey) over the temperature of tagged fish (faint red) during the experiment period. Locomotor-activity-based FAA window (cut off at 8:00 when feeding window starts) marked with vertical bars (dark green). The thicker the vertical bar, the longer the FAA was observed. The bottom colour bar encodes the time of day on that specific day: night (black), astronomical twilight (dark grey), nautical twilight (grey), civil twilight (light grey), and day (white). Note that the twilight zones are hardly visible.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1168953-g006.tif"/>
</fig>
<fig id="f7" position="float">
<label>Figure&#xa0;7</label>
<caption>
<p>Seasonal decomposition of the activity profile of tagged fish. The trend (blue) component describes the general direction of the activity, the seasonal (yellow) component shows the daily repeating pattern, and the residual (green) component describes the unexplained fluctuations after removing the trend and seasonal component. The observed activity data (red) can be additively reconstructed from the three components (trend, seasonal, and residual).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1168953-g007.tif"/>
</fig>
<p>There was a significant difference between the temperature datasets. The temperature data from the transmitters were sampled from populations with a different distribution than the temperature data from the receivers after Kolmogorov&#x2013;Smirnov (goodness-of-fit test, <inline-formula>
<mml:math display="inline" id="im36">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mo>&lt;</mml:mo>
<mml:mn>0.05</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>). No significant correlation (<inline-formula>
<mml:math display="inline" id="im37">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mo>&#x2265;</mml:mo>
<mml:mn>0.05</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>, Pearson correlation coefficient) was found between the alternating transmitter temperature and fish activity data on a 20-min group scale (see <xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6</bold>
</xref> for visualisation of transmitter temperature and fish activity data). A noncorrelation was also found between the receiver temperature data and the fish activity data observed using the Pearson correlation coefficient (<inline-formula>
<mml:math display="inline" id="im38">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mo>&#x2265;</mml:mo>
<mml:mn>0.05</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>). It thus remained inconclusive whether the temperature span of <inline-formula>
<mml:math display="inline" id="im39">
<mml:mrow>
<mml:mn>20.92</mml:mn>
<mml:mo>&#xb1;</mml:mo>
<mml:mn>0.59</mml:mn>
<mml:mo>&#xa0;</mml:mo>
<mml:mo>&#xb0;</mml:mo>
<mml:mtext>C</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula> (receiver temperature measurements) was a factor influencing the acceleration activity.</p>
</sec>
<sec id="s3_3">
<title>Fish anticipatory behaviour</title>
<sec id="s3_3_1">
<title>Food anticipatory activity</title>
<p>We were able to extract exactly one locomotor-driven FAA window per day which last longer than 120 min (per the description of our detection method in the Section "Quantification and statistical analysis" more windows were possible). Since the time windows all reach into the feeding period, they are marked as FAA time windows from their beginning up to the feeding period, which starts at 8:00 (see <xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6</bold>
</xref>). The actual daily starting times for the locomotor-activity-based FAA based on the method explained in the Section "Quantification and statistical analysis" are stated in the Supplementary material (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Table S1</bold>
</xref>) and correspond to the width of the vertical dark green bars in <xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6</bold>
</xref>. Therefore, FAA activity starts on average at 06:21 &#xb1; 00:52. The peak in seasonal (periodic) influence is at 8:40, and lowest at 22:40, respectively (see <xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7</bold>
</xref>, yellow line). When using the FAA detection method as described in the Section "Quantification and statistical analysis" for all activity data on the hours of the day with a 5-min binning, we report that the only high-activity window is the FAA window starting at 5:45.</p>
</sec>
<sec id="s3_3_2">
<title>A position-based approach</title>
<p>The accumulation of signals in the upper water column from sunrise to 10:00 (see <xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3A</bold>
</xref>, very dark grey and dark grey top sections) makes up 51.71% of the total signals in the upper water column. This pattern is significantly not random against shuffled permutations (PIS) (<inline-formula>
<mml:math display="inline" id="im40">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mo>&lt;</mml:mo>
<mml:mn>0.05</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> for each water column). Patternless distributions would look like the illustration in <xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3B</bold>
</xref>. The pattern can differ across days, but all daily patterns are significantly not random in time against shuffled permutations (PIS) (<inline-formula>
<mml:math display="inline" id="im41">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mo>&lt;</mml:mo>
<mml:mn>0.05</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> for each water column). Thereby, we find P-FAP time periods for the intervals between sunrise (5:48&#x2013;5:50, depending on the day) and 8:00 (start of feeding).</p>
</sec>
<sec id="s3_3_3">
<title>A density-based approach</title>
<p>The DBSCAN clustering results (see <xref ref-type="fig" rid="f8">
<bold>Figure&#xa0;8</bold>
</xref>) show two spatiotemporal clusters. Cluster 0 spreading from 1.7 to 0 m depth highlights the positioning of the fish in the upper very top of the water column prefeeding and during feeding. Cluster 0: the density distribution (see <xref ref-type="fig" rid="f9">
<bold>Figure&#xa0;9</bold>
</xref>) shows the relevance of the clusters (highest probability density with 2.6%). This cluster 0 is the biggest cluster found through the DBSCAN method, and it precedes the earliest FAA time window concluded in Section "Food anticipatory activity" with a D-FAP time window from 5:08 to 8:00 (5:08 to 9:48 total time window). There is also cluster 1 near the surface, which ranges from 19:31 to 21:26 time-wise and from 0 to 1.3m in depth. It is even denser than cluster 0 (highest probability density at 4.15%).</p>
<fig id="f8" position="float">
<label>Figure&#xa0;8</label>
<caption>
<p>Clustering the time-depth data points of the whole experiment period: radial axis describes the depth, and the angular axis represents the hour of the day. Hyperparametres were <bold>&#x3b5;</bold>=0.5, and the minimum sample size was 300. Clusters 0 in red and 1 in green show the dense positioning of E. seabass close to the surface, and noise (no cluster) in blue.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1168953-g008.tif"/>
</fig>
<fig id="f9" position="float">
<label>Figure&#xa0;9</label>
<caption>
<p>Density of fish clusters close to the surface: multilayer probability density function (and histograms) of clusters 0 and 1 and the noise points from <xref ref-type="fig" rid="f8">
<bold>Figure&#xa0;8</bold>
</xref>. The <italic>x</italic>-axis describes the depth, and the <italic>y</italic>-axis describes the probability.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1168953-g009.tif"/>
</fig>
</sec>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<title>Discussion</title>
<sec id="s4_1">
<title>Comparison of FAB approaches</title>
<p>This is the first study to our knowledge that used an unsupervised density-based approach to measure near-surface positioning in conjunction with FAA in E. seabass and finfish in general.</p>
<p>We were able to extract not only morning anticipatory behaviour, which precedes the FAA time window, but also a dense cluster in the evening (see cluster 1 in <xref ref-type="fig" rid="f8">
<bold>Figure&#xa0;8</bold>
</xref>). This is an extension of what classical FAA can provide; depending on the hours of the day, FAA could neither be observed as early as D-FAP nor in the evening (see <xref ref-type="fig" rid="f10">
<bold>Figure&#xa0;10</bold>
</xref>). We hypothesize that the actual positioning near the surface precedes possible recordings of increased activity (over 0.5 quantile), and therefore classical locomotor-activity-based FAA is not detectable, even though it should be measured as an anticipatory behaviour. For the evening density cluster, we hypothesise that the accumulation in the surface area is part of the natural behaviour of E. seabass to prefer dim light to forage (<xref ref-type="bibr" rid="B8">B&#xe9;gout Anras, 1995</xref>). While the cluster is technically not food-entrained FAB, we marked it as D-FAP, which was not rewarded with food. Higher surface temperature as a reason is unlikely due to the stable environmental conditions and small range of temperature during the experimental period (see <xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6</bold>
</xref>).</p>
<fig id="f10" position="float">
<label>Figure&#xa0;10</label>
<caption>
<p>All three methods for food anticipatory behaviour on the accumulated data in the experimental period, marked by time and depth if applicable. FAA, locomotor-activity-based FAA (light green vertical bar); P-FAP, position-based Food Anticipatory Positioning (orange box); D-FAP, density-based food anticipatory positioning (yellow boxes). The <italic>x</italic>-axis describes the hour of the day, and the <italic>y</italic>-axis describes the depth in metres. Each dot is one (time, depth) datapoint from the tagged fish. The FAA time window was calculated according to the Quantification and statistical analysis. The two clusters (red and green) are the same clusters as in <xref ref-type="fig" rid="f8">
<bold>Figure&#xa0;8</bold>
</xref> (the red cluster not cut off by feeding start at 8:00). The faint blue dots are the same noise points as in <xref ref-type="fig" rid="f8">
<bold>Figure&#xa0;8</bold>
</xref>.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1168953-g010.tif"/>
</fig>
<p>The bigger size of the morning cluster (cluster 0) is most likely also the result of a compound effect between the natural behaviour and the D-FAP since there is a positive relationship between FAA duration and dawn/dusk (<xref ref-type="bibr" rid="B6">Azzaydi et&#xa0;al., 2007</xref>).</p>
<p>These findings indicate that D-FAP can provide insight into not only the entrained food anticipation in the morning but also other behavioural patterns, such as foraging behaviour in E. seabass (<xref ref-type="bibr" rid="B34">Paspatis et&#xa0;al., 1999</xref>).</p>
<p>Comparing D-FAP and P-FAP, we conclude that D-FAP is favourable due to two main reasons. Firstly, the data basis for D-FAP is the original data points themselves with their respective timestamps. Thereby, the start of the detected D-FAP can be accurately given by the earliest occurring datapoint in a dense cluster, while for P-FAP, pre-defined time intervals limit the possible choices when FAB is detected. Secondly, the choice of time slot duration underlies human bias (we expected only FAB in the morning) and does not, for example, cover a chance to detect the evening behaviour. The presented P-FAP detection method therefore only allows for a quick analysis of FAB in the morning, but it is neither precise nor does it detect all fish activity (see <xref ref-type="fig" rid="f10">
<bold>Figure&#xa0;10</bold>
</xref>).</p>
<p>Comparing detected P-FAP and FAA, the P-FAP method suffers from the same problems as FAA in comparison to D-FAP. Both do not detect evening FAB activity. Additionally, P-FAP is more limited than FAA regarding the starting time for FAB, which makes it only a good proxy for FAA when the time intervals are preset properly. In our results, P-FAP is detected after FAA has been detected. The silver lining for P-FAP is that it is a method that can be implemented by other means, too, especially cameras, since counting the appearance of fish is the key factor in this method and not the density. Adaptations of proxies such as the &#x201c;fish index&#x201d; (<xref ref-type="bibr" rid="B16">Folkedal et&#xa0;al., 2012b</xref>) could be used to implement this FAB detection method, but the decision on the temporal resolution remains a human operator task.</p>
<p>All in all, the detection differences in FAA and especially D-FAP exemplify the main research message we want to convey: being active is not necessarily the same thing as being somewhere specifically. Especially not for fish, who can inherently use all three space dimensions to position themselves. The opposite is also true: being somewhere specifically does not necessarily mean activity. Therefore, considering multiple viewpoints on such a sensitive welfare indicator can be beneficial to accessing a more complete picture of FAB.</p>
</sec>
<sec id="s4_2">
<title>Food anticipatory behaviour as an umbrella term</title>
<p>So far, FAA has been widely used as an umbrella term for all expressions of food anticipation and can lead to mislabelling or misunderstanding of the actual underlying behaviour. While most previous studies have focused on FAA as a locomotor-driven measure, we present a dissection of anticipatory behaviours to include more specific terminology and suggest the usage of the umbrella term food anticipatory behaviour together with the subcategories FAA and FAP (further divided into P-FAP and D-FAP) (see <xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>).</p>
<p>There is previous work that hints that using only FAA for all kinds of food anticipation may be outdated, and the authors had to deal with the underlying terminology problem. Some studies based on the position or density of the fish are already addressing the naming issue by introducing the term &#x201c;food anticipatory behaviour&#x201d; and are not referring to FAA as a term at all when analysing anticipatory behaviour (<xref ref-type="bibr" rid="B15">Folkedal et&#xa0;al., 2012a</xref>, <xref ref-type="bibr" rid="B16">b</xref>). &#x201c;Food anticipatory activity behaviour&#x201d; (<xref ref-type="bibr" rid="B27">Luby et&#xa0;al., 2012</xref>) in mice consisted of tracking high-intensity activity using cameras, which is a study on FAA after the presented terminology. In the end, there is also work abbreviating food anticipatory behaviour and food anticipatory activity both to FAA (<xref ref-type="bibr" rid="B1">Acosta-Galvan et&#xa0;al., 2011</xref>). These studies serve solely to support the point that there is already a movement away from the term &#x201c;food anticipatory activity&#x201d; for all kinds of food anticipation.</p>
</sec>
<sec id="s4_3">
<title>Areas of exploration</title>
<p>An area of exploration appears through the separation of FAB into FAA and FAP, i.e., the connection between FAP and Time-Place Learning (TPL) for finding food. TPL in general refers to animals&#x2019; ability to remember several events that vary spatiotemporally (<xref ref-type="bibr" rid="B30">Mulder et&#xa0;al., 2013</xref>), which is basically what P-FAP is when the memory is about food. Using the positioning of the fish to measure TPL (<xref ref-type="bibr" rid="B38">Reebs, 1993</xref>; <xref ref-type="bibr" rid="B39">Reebs, 1996</xref>) could have been categorized as a form of P-FAP if the experiments were set up differently. It could be possible that the evening cluster (cluster 1) is an exhibition of the more general TPL and is unrelated to (pre)feeding behaviour, but further experiments are needed to confirm this. Further research is generally needed to unravel the relationship between FAP, which only measures anticipation of food in a certain position after entrainment, and TPL, which also measures avoidance.</p>
<p>An already explored area of research is the link between FAB and appetite and feed uptake. In general, digestive and metabolic processes prior to feeding allow the processing of food in bulk quantities (<xref ref-type="bibr" rid="B52">Stephan, 2002</xref>; <xref ref-type="bibr" rid="B54">Strubbe and van Dijk, 2002</xref>) if the underlying food-entrainable oscillator for FAA is trained toward the feeding schedule. Indication of this in fish is also found, as in <xref ref-type="bibr" rid="B23">Gilannejad et&#xa0;al. (2021)</xref>, where the digestive tract exhibits preparatory activity prior to daily feeding, as shown in the higher expression of genes involved in protein digestion for Senegalese sole (<italic>Solea senegalensis</italic>). A better understanding of the pre-feeding behaviour, like with D-FAP, may be a useful tool to track behavioural activities to align appetite and the exhibited FAB to maximize nutritional value and thereby increase welfare by feeding after appetite. Further studying the link between FAB and the digestive system may prove useful for farmed fish, as it adds another component to understanding FAB also on a nutritional level.</p>
<p>Lastly, research efforts focussed on E. seabass could reveal possible connections between FAB to the known capabilities of E. seabass to shift between diurnal and nocturnal feeding patterns (<xref ref-type="bibr" rid="B5">Azzaydi et&#xa0;al., 2000</xref>). For example, it would be interesting to explore if anticipation behaviour in the morning and evening can be used to facilitate the shift between feeding patterns.</p>
</sec>
<sec id="s4_4">
<title>Expanding the dataset</title>
<p>Using the 20-min resolved activity data, FAA starting points differ between the days. We show that using the unconstrained dataset results in more evenly long-lasting FAA time windows, and the starting time distribution is less volatile than for the valid dataset (see <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure S1</bold>
</xref>). We argue that this is due to the larger number of signals compared to the valid dataset, which therefore smooths the activity curve over the 20-min periods. We do not encourage the use of the unconstrained dataset to draw conclusions since the underlying population for the two datasets is significantly different (Kolmogorov&#x2013;Smirnov goodness-of-fit test).</p>
</sec>
<sec id="s4_5">
<title>Future possibilities of acoustic telemetry</title>
<p>Individual acoustic telemetry provided detail-rich information about individual E. seabass, and also gave the possibility to analyse the group&#x2019;s behaviour. Data had to be aggregated over time and individuals to make up for the lost data in practice, but being able to resolve time in 20 min is arguably fine enough for automatic feeding systems. The time resolution for a 24-h cycle could even be increased to 5-min intervals. The knowledge gained from telemetry tags has the potential to be used to qualify other noninvasive observation methods such as hydroacoustics or camera systems, as described in <xref ref-type="bibr" rid="B19">F&#xf8;re et&#xa0;al. (2018a)</xref>. Individual tagging also reveals knowledge about the fish individuals, even though this was not the focus of this study. It remains debatable how much acoustic telemetry can be used in the industry outside of marine research since acoustic tags and the receiver array are costly, and tags have to be found in the slaughter process to avoid foreign materials in the end product. Additionally, minutely time resolution remains a problem: although we theoretically could have received 414,720 valid signals (as discussed in Section "Data collection and processing"), the number of usable data points was 28,952 (<inline-formula>
<mml:math display="inline" id="im42">
<mml:mrow>
<mml:mo>&#x2248;</mml:mo>
<mml:mn>7</mml:mn>
<mml:mo>%</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>) in the valid dataset, which translates to time gaps in the data collection and shows that the usage of acoustic telemetry has its limitations. Another underlying problem of this technology will always be that only a part of the fish group is reflected in the acquired data, and their behaviour on a small group level may not be in sync with the behaviour on a sea cage group level. Though we support following this line of technology, acoustic telemetry tags like ours still require an invasive operation. Though the number of individuals chosen was small, technological advancements in tagging tools (i.e., smaller/external transmitters) are needed to further ensure the welfare of the tagged fish.</p>
</sec>
<sec id="s4_6">
<title>Vertical distribution</title>
<p>
<xref ref-type="bibr" rid="B50">Schurmann et&#xa0;al. (1998)</xref> established a reference for the vertical diurnal rhythm of E. seabass in tanks, and <xref ref-type="bibr" rid="B37">Quayle et&#xa0;al. (2009)</xref> for free-roaming seabass. We add to this with the sea cage as an environment and <xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5</bold>
</xref> as a reference for the diving behaviour of farmed E. seabass with daily morning feeding.</p>
</sec>
<sec id="s4_7">
<title>Limitations</title>
<p>There are several limitations to this study. Firstly, there is only a short history of studies on FAP and especially D-FAP, such that any generalization of our results should be interpreted with caution. Secondly, there were time constraints in the data collection, which resulted in a short experimental period. Another limitation is that the presented method with DBSCAN for D-FAP needs hyperparameter tuning from an expert, and the data amount needs to be sufficiently high. However, we anticipate that more sophisticated models will make human experts unnecessary for hyperparameter tuning. As hinted at in <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure S4</bold>
</xref>, only looking at singular days does not lead to interpretable results. Furthermore, all presented methods do not consider individual fish but only the group behaviour of the tagged fish. Knowledge transfer from our results to single individual fish is thereby discouraged. Further research is needed in order to investigate the application of position- and density-based approaches, which may lead to more accurate quantification of FAB in E. seabass, but also farmed fish in general, since a feeding direction is usually given in aquaculture settings, whether tanks or sea cages.</p>
<p>One underlying assumption in this work was that acceleration activity is a proxy for activities like locomotor-driven FAA and feeding activity, not just for gilthead seabream (<xref ref-type="bibr" rid="B33">Palstra et&#xa0;al., 2021</xref>), but also for E. seabass. Additional factors like photoperiod, feeding times, and feeding mode play a major role in fish activity, which have been analysed separately or in combination in other studies (<xref ref-type="bibr" rid="B47">S&#xe1;nchez-V&#xe1;zquez et&#xa0;al., 1995</xref>; <xref ref-type="bibr" rid="B4">Azzaydi et&#xa0;al., 1998</xref>; <xref ref-type="bibr" rid="B48">Sar&#xe0; et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B26">Lanteri et&#xa0;al., 2016</xref>). Together with the fact that foraging behaviour and thereby being close to the surface is linked to twilight times (<xref ref-type="bibr" rid="B10">Boujard et&#xa0;al., 1996</xref>; <xref ref-type="bibr" rid="B34">Paspatis et&#xa0;al., 1999</xref>), all morning and evening FAB are likely to be partially due to evolutionary reasons that cannot be separated.</p>
</sec>
<sec id="s4_8" sec-type="conclusions">
<title>Conclusion</title>
<p>Further digitization is an important keystone to move toward data-driven decision processes, and with regard to feeding, the decision on time, the period, and the volume is the core of fish feeding.</p>
<p>Collectively, our results show that food anticipation in E. seabass (and also other fish species through literature) has more facets than classical locomotor-driven FAA, and future anticipatory behaviour classification in fish may consider the use of a more detailed framework. More in-depth research is needed to uncover the specific temporal relationships between FAP and FAA as well as FAP and TPL. Furthermore, methods of reliably tracking daily FAP have to be developed. Acquiring accurate FAB knowledge by combining FAA with FAP may have the potential to support fish farmers in shifting feeding regimes with higher precision, which can improve both the economic value of the fish and the welfare aspects.</p>
</sec>
</sec>
<sec id="s5" sec-type="data-availability">
<title>Data availability statement</title>
<p>The unconstrained dataset and the valid dataset for this study are published under the Creative Commons CC-BY 4.0 license with the DOI: 10.5281/zenodo.7900273. The Python code is published under the Apache License 2.0 and the latest code release has the DOI: 10.5281/zenodo.7977064. With the Python code, the main statistical analysis and all Figures except <xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref> can be reproduced. <xref ref-type="fig" rid="f2">
<bold>Figures&#xa0;2</bold>
</xref>, <xref ref-type="fig" rid="f3">
<bold>3</bold>
</xref>, <xref ref-type="fig" rid="f6">
<bold>6</bold>
</xref> based on the unconstrained dataset can also be reproduced by the code and are found in the Supplementary Material.</p>
</sec>
<sec id="s6" sec-type="ethics-statement">
<title>Ethics statement</title>
<p>The HCMR aquaculture facilities are certified by the national veterinary authority (code GR94FISH0001) and licensed for operations of breeding and experimentation with fish issued by Region of Crete, General Directorate of Agricultural &amp; Veterinary no. 3989/01.03.2017 (approval codes EL91-BIObr-03 and EL91-BIOexp-04). The experimental protocol for fish implantation was reviewed and approved by the Ethics Committee of the IMBBC and the relevant veterinary authorities (Ref Number 32257 09-02-2021) in accordance with legal regulations (EU Directive 2010/63).</p>
</sec>
<sec id="s7" sec-type="author-contributions">
<title>Author contributions</title>
<p>I-HC: data curation, formal analysis, methodology, statistics, Python coding, open data management, and writing the original manuscript. DG: data generation, statistics, data curation, R-coding, methodology, interpretation of data, and internal review. LE: acquiring funding, conceptualization, experiment planning, interpretation of data, and internal review. DV: data generation and hardware handling. PL: supervision of data analysis and statistics, interpretation, and internal review. NP: acquiring funding, conceptualization, experiment planning, data generation, facility management, interpretation of data, and internal review. All authors contributed to the article and approved the submitted version.</p>
</sec>
</body>
<back>
<sec id="s8" sec-type="funding-information">
<title>Funding</title>
<p>This work was funded by the iFishIENCi project and has received funding from the European Union&#x2019;s Horizon 2020 research and innovation program under grant agreement No. 818036 and the Norwegian Research Council, Project number 323300.</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="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="s11" 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.2023.1168953/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fmars.2023.1168953/full#supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="DataSheet_1.pdf" id="SM1" mimetype="application/pdf"/>
</sec>
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