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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.2024.1473319</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>From ocean to cage: evaluating the culture feasibility of Black-spotted croaker (<italic>Protonibea diacanthus</italic>)</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Ghosh</surname>
<given-names>Shubhadeep</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
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</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Dash</surname>
<given-names>Gyanaranjan</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2805209"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Dash</surname>
<given-names>Biswajit</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2925171"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Pradhan</surname>
<given-names>Rajesh Kumar</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2925162"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Megarajan</surname>
<given-names>Sekar</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Behera</surname>
<given-names>Pralaya Ranjan</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1820404"/>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Ranjan</surname>
<given-names>Ritesh</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Sen</surname>
<given-names>Swatipriyanka</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Das</surname>
<given-names>Madhumita</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Suresh</surname>
<given-names>Vettath Raghavan</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Gopalakrishnan</surname>
<given-names>Achamveetil</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Jena</surname>
<given-names>Joykrushna</given-names>
</name>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
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<aff id="aff1">
<sup>1</sup>
<institution>Fisheries Science Division (Marine Fisheries), Indian Council of Agricultural Research (ICAR), Krishi Anusandhan Bhawan - II</institution>, <addr-line>Pusa, New Delhi</addr-line>, <country>India</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Shellfish and Finfish Fisheries Divisions, Puri Field Centre of Indian Council of Agricultural Research-Central Marine Fisheries Research Institute (ICAR-CMFRI)</institution>, <addr-line>Puri, Odisha</addr-line>, <country>India</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Mariculture, Marine Biodiversity and Environment Management Divisions, Visakhapatnam Regional Centre of Indian Council of Agricultural Research-Central Marine Fisheries Research Institute (ICAR-CMFRI)</institution>, <addr-line>Visakhapatnam, Andhra Pradesh</addr-line>, <country>India</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Mariculture and Marine Biotechnology Divisions, Indian Council of Agricultural Research-Central Marine Fisheries Research Institute (ICAR-CMFRI)</institution>, <addr-line>Kochi, Kerala</addr-line>, <country>India</country>
</aff>
<aff id="aff5">
<sup>5</sup>
<institution>Fisheries Science Division, Indian Council of Agricultural Research (ICAR), Krishi Anusandhan Bhawan - II</institution>, <addr-line>Pusa, New Delhi</addr-line>, <country>India</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Yngvar Olsen, Norwegian University of Science and Technology, Norway</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Pranaya Kumar Parida, Central Inland Fisheries Research Institute (ICAR), India</p>
<p>Amit Ranjan, Tamil Nadu Fisheries University, India</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Gyanaranjan Dash, <email xlink:href="mailto:gyanranjandashcmfri@gmail.com">gyanranjandashcmfri@gmail.com</email>; <email xlink:href="mailto:gyanranjan.dash@icar.org.in">gyanranjan.dash@icar.org.in</email>
</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>07</day>
<month>01</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>11</volume>
<elocation-id>1473319</elocation-id>
<history>
<date date-type="received">
<day>30</day>
<month>07</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>06</day>
<month>12</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Ghosh, Dash, Dash, Pradhan, Megarajan, Behera, Ranjan, Sen, Das, Suresh, Gopalakrishnan and Jena</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Ghosh, Dash, Dash, Pradhan, Megarajan, Behera, Ranjan, Sen, Das, Suresh, Gopalakrishnan and Jena</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>This study evaluates the feasibility of culturing the high-value marine fish <italic>Protonibea diacanthus</italic> in a polyculture system with Indian pompano (<italic>Trachinotus mookalee</italic>) using a marine cage culture setup. The study aims to determine growth performance, feed efficiency, and the potential of <italic>P. diacanthus</italic> as a candidate species for polyculture.</p>
</sec>
<sec>
<title>Methods</title>
<p>Wild-caught <italic>P. diacanthus</italic> were reared in six high-density polyethylene sea cages (Inner Diameter: 6 m; Outer Diameter: 7 m; Depth: 4.5 m; Area: 28.29 m&#xb2;; Volume: 127.29 m&#xb3;). Two experimental groups were established: Group-1 with 90 individuals (average weight: 130.15 &#xb1; 6.39 g) and Group-2 with 90 individuals (average weight: 287.80 &#xb1; 16.90 g). Each group was divided into three cages (30 fish/cage) and reared in triplicate with <italic>T. mookalee</italic> (2,500 fish/cage, average weight: 31.12 &#xb1; 1.17 g). The fish were cultured for 148 days and fed a commercial diet (40% crude protein, 10% crude lipid). Growth indices and feed efficiency indices were analyzed, and growth of the fish was modeled using von Bertalanffy Growth Function (VBGF).</p>
</sec>
<sec>
<title>Results</title>
<p>Growth performance indices, including total length gain, body weight gain, and specific growth rate, were significantly higher in Group-1 (P &#x2264; 0.05). Feed efficiency indices (feed conversion ratio, feed efficiency ratio, and protein efficiency ratio) did not differ significantly between the groups (P &gt; 0.05). VBGF modeling estimated <italic>P. diacanthus</italic> asymptotic length (L<sub>&#x221E;</sub>) at 164.21 &#xb1; 3.58 cm, asymptotic weight (W<sub>&#x221E;</sub>) at 44,070.19 &#xb1; 2811&#xa0;g, growth coefficient (K) at 0.30 &#xb1; 0.01 yr<sup>&#x2212;1</sup> and t&#x2080; at -0.005 &#xb1; 0.02 yr. The growth performance index (&#x3d5;&#x2019;) was calculated at 1.91, surpassing values reported for wild populations. Polyculture with <italic>P. diacanthus</italic> did not significantly affect the growth or feed utilization of <italic>T. mookalee</italic> (P &gt; 0.05).</p>
</sec>
<sec>
<title>Discussion and conclusion</title>
<p>The results indicate that <italic>P. diacanthus</italic> exhibits superior growth under marine cage culture conditions, with a high growth performance and compatibility in polyculture systems. These findings support the potential of <italic>P. diacanthus</italic> as a viable candidate for integration into commercial polyculture systems.</p>
</sec>
</abstract>
<kwd-group>
<kwd>captive rearing</kwd>
<kwd>growth modeling</kwd>
<kwd>feed utilization</kwd>
<kwd>cage farming</kwd>
<kwd>sustainable aquaculture</kwd>
</kwd-group>
<counts>
<fig-count count="7"/>
<table-count count="1"/>
<equation-count count="12"/>
<ref-count count="59"/>
<page-count count="14"/>
<word-count count="7867"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Marine Fisheries, Aquaculture and Living Resources</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>Global aquaculture production has been growing at an average annual rate of 5% and, for the first time in 2022, surpassed capture fisheries production, contributing 51% to global aquatic animal production. Excluding algae, global aquaculture achieved a record production of 94.4 million tonnes in 2022, with an estimated value of 295.7 billion USD. Marine aquaculture, which involves the cultivation of marine organisms for food and other products, accounted for approximately 35.3 million tonnes in 2022, representing about 31% of total marine animal production (<xref ref-type="bibr" rid="B14">FAO, 2024</xref>). These findings highlight the pivotal role of aquaculture in meeting the growing global demand for seafood. In order to promote the environmental, ecological and socio-economical sustainability of this important sector, continuous research and innovation for the improvisation of the existing farming techniques, refinement of the feed and disease management strategies and diversification of the production and utilization strategies are some of the fundamental aspects that require focused and dedicated attention (<xref ref-type="bibr" rid="B7">Boyd et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B9">Carballeira Bra&#xf1;a et&#xa0;al., 2021</xref>). Species diversification helps to diversify production, reducing the vulnerability of the aquaculture industry to unforeseen challenges from emerging disease outbreaks, environmental challenges such as rising sea temperatures and/or ocean acidification and market dynamics such as change in consumer preference, market demand, culinary and cultural diversity (<xref ref-type="bibr" rid="B18">Harvey et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B8">Cai et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B10">Chan et&#xa0;al., 2024</xref>). Inclusion of species that can rapidly grow and efficiently convert feed into edible protein can make aquaculture practice more resource-efficient and sustainable.</p>
<p>India, the second largest aquaculture producer (excluding algae) of the world, alone contributed about 10.2 million tonnes of aquatic animal production in 2022 which is about 11% of the global aquaculture production and 27% of Asia&#x2019;s aquaculture production. As far as the marine and coastal aquaculture of aquatic animals is concerned, India ranks the 6<sup>th</sup> global position with a production of about 1.2 million tonnes against the projected potential of 4&#x2013;8 million tonnes (<xref ref-type="bibr" rid="B14">FAO, 2024</xref>). Nevertheless, marine aquaculture holds significant opportunities in India considering the rapidly increasing demand for seafood, a demand that cannot be satisfied solely by the capture fisheries sector (<xref ref-type="bibr" rid="B38">Parappurathu et&#xa0;al., 2023</xref>). Currently, marine aquaculture in India mainly encompasses the cage culture of finfish and shellfish in open seas and internal waters using the hatchery produced and wild collected seeds, bivalve and pearl oyster farming, ornamental fish culture, seaweed cultivation and integrated multi-trophic aquaculture (IMTA) (<xref ref-type="bibr" rid="B38">Parappurathu et&#xa0;al., 2023</xref>). Presently, in India, the breeding and seed production techniques have already been standardized for nine marine finfish species (<italic>Rachycentron canadum</italic>, <italic>Epinephelus coioides</italic>, <italic>Trachinotus blochii</italic>, <italic>T. mookalee</italic>, <italic>Lethrinus lentjan</italic>, <italic>Pomadasys furcatus</italic>, <italic>Lutjanus johnii</italic>, <italic>Siganus vermiculatus</italic> and <italic>Acanthopagrus berda</italic>) by ICAR-Central Marine Fisheries Research Institute (<xref ref-type="bibr" rid="B2">Anuraj et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B55">Suresh Babu et&#xa0;al., 2022</xref>) out of which, many are popularly used for grow-out operation (<xref ref-type="bibr" rid="B3">Aswathy et&#xa0;al., 2020</xref>). Apart from this ICAR-CMFRI (India) has also prioritized 76 finfish and shellfish species that could be targeted for future expansion of marine aquaculture production in the country (<xref ref-type="bibr" rid="B43">Ranjan et&#xa0;al., 2017</xref>). The Black-spotted croaker, <italic>P. diacanthus</italic> (<xref ref-type="bibr" rid="B24">Lacep&#xe8;de, 1802</xref>) is one such prime species that is presently being evaluated for its marine aquaculture potential in India by ICAR-CMFRI.</p>
<p>
<italic>P. diacanthus</italic>, also known as <italic>Ghol</italic> in India, belongs to the family Sciaenidae and is widely distributed in the coastal waters of the Indo-West Pacific region (<xref ref-type="bibr" rid="B4">Barton, 2018</xref>). It is a fast-growing and long-lived large predatory fish species that dwells in the epibenthic near-shore waters and feeds mainly on crustaceans and small fishes (<xref ref-type="bibr" rid="B42">Phelan et&#xa0;al., 2008</xref>; <xref ref-type="bibr" rid="B4">Barton, 2018</xref>). The species has significant market demand for its swimbladder, which is priced at USD 480-600 per kilogram (<xref ref-type="bibr" rid="B12">Dutta et&#xa0;al., 2014</xref>). It is also highly regarded as a food fish, with a market price ranging from USD 25-35 per kilogram (<xref ref-type="bibr" rid="B12">Dutta et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B29">Li et&#xa0;al., 2020</xref>). All these benefits make it one of the highly lucrative marine species. Due to its high market price, the species has been the prime focus of fishers for quite some time and forms an important component of commercial and subsistence fisheries in India and many countries abroad (<xref ref-type="bibr" rid="B42">Phelan et&#xa0;al., 2008</xref>; <xref ref-type="bibr" rid="B12">Dutta et&#xa0;al., 2014</xref>). However, its catch depends more on chance due to its rare and patchy (non-uniform) distribution (<xref ref-type="bibr" rid="B12">Dutta et&#xa0;al., 2014</xref>). Several studies have reported intra-annual changes in the abundance of <italic>P. diacanthus</italic> in inshore waters (<xref ref-type="bibr" rid="B5">Bhatt et&#xa0;al., 1964</xref>; <xref ref-type="bibr" rid="B1">Ansari et&#xa0;al., 1995</xref>), which indicated a seasonal migratory nature of the species. The fish is believed to perform seasonal migration and aggregation probably in response to reproduction cycles (<xref ref-type="bibr" rid="B11">Dhawan, 1971</xref>) and/or food availability (<xref ref-type="bibr" rid="B57">Thomas and Kunju, 1981</xref>). Unfortunately, fish that show aggregation behaviour are typically vulnerable to overfishing and excessive targeting, especially during spawning aggregation, which could be detrimental for such species (<xref ref-type="bibr" rid="B49">Sadovy and Cheung, 2003</xref>), as has been the case in Australia with reduction in total length and an abundance of smaller size groups in the catches, and a declining size at maturity (<xref ref-type="bibr" rid="B42">Phelan et&#xa0;al., 2008</xref>; <xref ref-type="bibr" rid="B26">Leigh et&#xa0;al., 2022</xref>).</p>
<p>Due to its fisheries&#x2019; significance and vulnerability, the species has drawn the attention of researchers in the past, with global studies focusing mostly on growth, food and feeding habits, reproductive biology and fisheries management (<xref ref-type="bibr" rid="B6">Bibby and McPherson, 1997</xref>; <xref ref-type="bibr" rid="B35">McPherson, 1997</xref>; <xref ref-type="bibr" rid="B42">Phelan et&#xa0;al., 2008</xref>; <xref ref-type="bibr" rid="B16">Ghosh et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B26">Leigh et&#xa0;al., 2022</xref>). Considering the high demand and the challenges involved in its capture fishery in India, alternate production strategies like captive breeding and farming have been suggested. Farming of <italic>P. diacanthus</italic> in marine cages would not only reduce exploitation pressure on the natural population of this species but also produce a dependable source of production to meet the ever-increasing consumer demand for the species. Due to its fast growth rate, disease resistance, strong adaptability and excellent market value, it is lately being preferred as a lucrative candidate species for commercial aquaculture in China (<xref ref-type="bibr" rid="B27">Li et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B48">Rong et&#xa0;al., 2020</xref>). Several studies have attempted to understand its ovarian, embryonic and larval development to standardize artificial breeding (<xref ref-type="bibr" rid="B53">Shi et&#xa0;al., 2004</xref>; <xref ref-type="bibr" rid="B59">Zhang et&#xa0;al., 2006</xref>; <xref ref-type="bibr" rid="B52">Shen et&#xa0;al., 2007</xref>). Apart from this, several trials have also been made to study the nutritional requirements of this fish to develop a cost-effective, balanced diet for ensuring better growth under captivity (<xref ref-type="bibr" rid="B28">Li et&#xa0;al., 2017</xref>, <xref ref-type="bibr" rid="B30">2019</xref>). Nevertheless, based on the review of accessible literature, it is evident that the aforementioned studies primarily consist of brief trials in which the growth and/or feed utilisation of the species have been assessed within a very short timeframe spanning up to eight weeks. None of the studies presented in the literature portray the growth performance of the species over an adequate timeframe that is necessary for achieving a consumer-acceptable table size (marketable size), which is a crucial factor in determining its suitability as a potential aquaculture species. Therefore, the present study was envisaged (1) To generate <italic>in-situ</italic> growth data for <italic>P. diacanthus</italic> by rearing it in floating marine cages under natural captive conditions, (2) To develop a model that simulates the future growth potential of <italic>P. diacanthus</italic> in floating cages over an extended culture period, and (3) To assess the growth performance of <italic>P. diacanthus</italic> and evaluate its suitability as a candidate species for aquaculture.</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>Experimental cages (location and design)</title>
<p>A total of 12 numbers of cages were used for the experiments, and the entire cage units occupied a stretch of approximately 1.5&#xa0;km neighboring the Bahabalpur Fishing Harbour (21<sup>0</sup> 27.441&#x2019;N and 87<sup>0</sup> 9.602&#x2019;S, Odisha, India) (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>). Circular floating cages of 6.0&#xa0;m inner diameter and 8.0&#xa0;m outer diameter with 4.5&#xa0;m net depth (water holding depth) were used for the experiment (area: 28.29 m<sup>2</sup>; volume: 127.29 m<sup>3</sup>). The High-Density Polyethylene (HDPE) pipes of Pressure Nominal (PN)-10 and Polyethylene (PE) 100-grade quality were used for the fabrication of the floating cages. HDPE nets were used for better strength; where, inner fish-holding vertical hanging net of 4.5&#xa0;m water holding depth with 25&#xa0;mm mesh size was used; outer vertical hanging net of 5.0&#xa0;m depth with 40.0&#xa0;mm mesh size was used as predator net; and a horizontal surface net with 80&#xa0;mm mesh size was used as bird protection net. The inner holding net was supported with two ballast pipes at 2.0&#xa0;m and 4.0&#xa0;m below the water surface to maintain the cylindrical shape of the net. The floating cage structure was stabilized in the sea with the help of mooring systems supported by 1.5&#xa0;t capacity concrete cement blocks (dead weight anchor) and mooring chain (long link alloy steel chain of 13&#xa0;mm diameter with 22&#xa0;t shearing strength).</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Map showing the experimental location of open sea cage farms established at Bahabalpur (Odisha, India) for the experimental rearing of <italic>Protonibea diacanthus</italic>.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-11-1473319-g001.tif"/>
</fig>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>Experimental fish</title>
<p>The live juveniles of Blackspotted croaker (<italic>P. diacanthus</italic>) were collected from the local fishers fishing in the vicinity of the cage farming demonstration of Indian pompano (<italic>Trachinotus mookalee</italic>), which was underway in the above-mentioned geographical location. The fish were caught in gill nets (mesh size: 50&#xa0;mm) from a depth of 5-10&#xa0;m. The fishes were identified as <italic>P. diacanthus</italic> (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>) following the morphological description of <xref ref-type="bibr" rid="B15">Fischer and Bianchi (1984)</xref>. A total of 193 live specimens were collected from the local fishers over a month as and when they were caught, and were transported in 1,000 l onboard water tanks filled with seawater (32 ppt) with continuous aeration. Due to the scarcity of separate and independent offshore farming facilities, the specimens (n = 180) were stocked in six cages, in which culture of the Indian Pompano, <italic>T. mookalee</italic> of mean total length (TL) 12.29 &#xb1; 0.16&#xa0;cm and mean body weight (BW) of 31.12 &#xb1; 1.17 was ongoing at a density of 2,500 individuals per cage. Indian&#xa0;pompano fingerlings, produced in the marine finfish hatchery&#xa0;complex at the Regional Centre of ICAR-CMFRI in Visakhapatnam, India, were transported overnight to the cage farming demonstration site using insulated live-fish carriers. The stocking density used for Indian pompano was determined based on our earlier work (<xref ref-type="bibr" rid="B50">Sekar et&#xa0;al., 2021</xref>).</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Black-spotted croaker (<italic>Protonibea diacanthus</italic>) experimentally cultured at Bahabalpur (Odisha, India).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-11-1473319-g002.tif"/>
</fig>
</sec>
<sec id="s2_3">
<label>2.3</label>
<title>Experimental design</title>
<p>The study was conducted using a Completely Randomized Design (CRD) with two experimental groups, each replicated three times. The experimental groups, Group-1 and Group-2, were classified based on size variations in <italic>P. diacanthus</italic> specimens.</p>
<list list-type="bullet">
<list-item>
<p>Group-1: This group consisted of 90 smaller-sized individuals (n = 90) with a mean total length (TL) of 22.69 &#xb1; 0.44&#xa0;cm (mean &#xb1; SE) and a mean body weight (BW) of 130.15 &#xb1; 6.39&#xa0;g (mean &#xb1; SE). The fish were distributed across three cages in triplicates, with 30 individuals per cage.</p>
</list-item>
<list-item>
<p>Group-2: This group included 90 larger-sized individuals (n = 90) with a mean TL of 29.34 &#xb1; 0.78&#xa0;cm and a mean BW of 287.80 &#xb1; 16.90&#xa0;g. These were also distributed across three cages in triplicates, with 30 individuals per cage.</p>
</list-item>
</list>
<p>Due to lack of dedicated sea cages for <italic>P. diacanthus</italic>, both the Group-1 and Group-2 were maintained as polyculture setups, where the 30 numbers of <italic>P. diacanthus</italic> were added to the existing 2,500 numbers of <italic>T. mookalee</italic> (a mean TL of 12.18 &#xb1; 0.27&#xa0;cm and a mean BW of 30.90 &#xb1; 1.83&#xa0;g) per cage, resulting in a total stocking density of 2,530 fish per cage in the polyculture setups. Additionally, a monoculture setup comprising six cages stocked only with 2,500 numbers of <italic>T. mookalee</italic> (mean TL of 12.39 &#xb1; 0.24&#xa0;cm and a mean BW of 31.34 &#xb1; 1.84&#xa0;g) per cage was maintained to compare and evaluate any synergistic or antagonistic effects of <italic>P. diacanthus</italic> on <italic>T. mookalee</italic> in the polyculture setups.</p>
</sec>
<sec id="s2_4">
<label>2.4</label>
<title>Experimental diet and feeding regime</title>
<p>The feeding regime followed for <italic>T. mookalee</italic> using a commercial diet (Nutrila Marine Fish Feed, Growel, Andhra Pradesh, India; Ingredients: fish meal, soybean meal, wheat products, rice products, fish oil, vegetable oil, soya lecithin, amino acid, vitamins and minerals; Nutritional Composition: 40% crude protein, 10% crude fat, 3% crude fiber, and 12% crude moisture; Pellet size: 1.5&#xa0;mm, 3.0&#xa0;mm and 6.0&#xa0;mm) was continued unchanged in both the experimental groups; and was at 6% of the combined body weight initially, which was gradually reduced to 3% of the combined body weight. The fish were grown for a maximum duration of 148 days. Feeding trials with <italic>P. diacanthus</italic> were conducted during the acclimatization phase using the specified feed to evaluate its acceptability by the species. The entire ration was divided into 3 equal portions and broadcasted in early morning (06:00 hr), mid-day (12:00 hr) and evening (18:00 hr) in the middle of the cage to make it available for all the fish. Adequate measures were employed to control feed wastage from the cage, where the inner fish-holding cage net was stitched with a zero-mesh size nylon net at the water and air interface to retain the feed completely inside the cage. The growth was monitored fortnightly and the feeding rate and ration were adjusted accordingly.</p>
</sec>
<sec id="s2_5">
<label>2.5</label>
<title>Evaluation of growth performance</title>
<p>The growth performance of the fish (<italic>P. diacanthus</italic>) during the culture duration was evaluated using the indices such as total length gain (TLG%), body weight gain (BWG%), specific growth rate (SGR) and absolute growth rate (AGR) which were assessed using the following formula.</p>
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<mml:mn>100</mml:mn>
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<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
</mml:mrow>
</mml:math>
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<disp-formula>
<mml:math display="block" id="M3">
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<mml:mn>100</mml:mn>
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</mml:math>
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<disp-formula>
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<mml:mrow>
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</mml:mrow>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>x</mml:mi>
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<mml:mi>m</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
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</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>Fulton&#x2019;s condition factor was calculated according to <xref ref-type="bibr" rid="B21">Htun-Han (1978)</xref> equation, as per the formula given below:</p>
<disp-formula>
<mml:math display="block" id="M5">
<mml:mrow>
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<mml:mi>n</mml:mi>
<mml:mi>d</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>f</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>r</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>F</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>T</mml:mi>
<mml:mi>L</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mn>3</mml:mn>
</mml:msup>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
</mml:mrow>
</mml:math>
</disp-formula>
<p>Where, BW is the body weight of fish in g; TL is the total length of fish in cm.</p>
</sec>
<sec id="s2_6">
<label>2.6</label>
<title>Evaluation of feed utilization performance</title>
<p>The feed utilization performance of the fish (<italic>P. diacanthus</italic>) during the culture duration was evaluated using the indices such as feed conversion ratio (FCR), protein conversion rate (PCR) and protein efficiency rate (PER) which were assessed using the following formula. The average protein content of the commercial feed was used for the calculation of PCR and PER.</p>
<disp-formula>
<mml:math display="block" id="M6">
<mml:mrow>
<mml:mi>F</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>d</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>v</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>r</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>F</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>l</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>f</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>d</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>k</mml:mi>
<mml:mi>e</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>g</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>l</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>w</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>w</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>g</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>g</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>g</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<mml:math display="block" id="M7">
<mml:mrow>
<mml:mi>F</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>d</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>e</mml:mi>
<mml:mi>f</mml:mi>
<mml:mi>f</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>y</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>r</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>F</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>l</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>w</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>w</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>g</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>g</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>g</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>l</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>f</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>d</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>k</mml:mi>
<mml:mi>e</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>g</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<mml:math display="block" id="M8">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>e</mml:mi>
<mml:mi>f</mml:mi>
<mml:mi>f</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>y</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>r</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>l</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>w</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>w</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>g</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>g</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>g</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>d</mml:mi>
<mml:mi>e</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>p</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>f</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>d</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>g</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>The survival rate (%) was calculated using the following formulae</p>
<disp-formula>
<mml:math display="block" id="M9">
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>v</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>v</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>l</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>r</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mo>%</mml:mo>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>F</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>l</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>n</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>b</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>r</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>o</mml:mi>
<mml:mi>f</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>s</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>v</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>v</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>g</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>a</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>I</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>l</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>n</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>b</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>r</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>o</mml:mi>
<mml:mi>f</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>a</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
</mml:mrow>
</mml:math>
</disp-formula>
<p>The above-mentioned indices on growth and feed utilization performances were also assessed for Indian Pompano grown in both the monoculture and polyculture setups and compared to assess any possible impact of <italic>P. diacanthus</italic> on the standalone growth and feed utilization performances of <italic>T. mookalee</italic>.</p>
</sec>
<sec id="s2_7">
<label>2.7</label>
<title>Growth modeling and simulation</title>
<p>To simulate and project the growth potential of the fish beyond the actual culture duration of the present study, the available growth data was modeled using the fortnightly collected periodic length (mm) and weight (g) increment data. The growth was modeled using the non-linear von Bertalanffy&#x2019;s growth equation (<xref ref-type="bibr" rid="B58">von Bertalanffy, 1934</xref>) using &#x2018;nls&#x2019; routine in the R statistical software package.</p>
<disp-formula id="eq1">
<label>(1)</label>
<mml:math display="block" id="M10">
<mml:mrow>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mi>&#x221e;</mml:mi>
</mml:msub>
<mml:mo>&#xa0;</mml:mo>
<mml:mo>&#xd7;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>e</mml:mi>
<mml:mi>x</mml:mi>
<mml:msup>
<mml:mi>p</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>k</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="eq2">
<label>(2)</label>
<mml:math display="block" id="M11">
<mml:mrow>
<mml:msub>
<mml:mi>W</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>W</mml:mi>
<mml:mi>&#x221e;</mml:mi>
</mml:msub>
<mml:mo>&#xa0;</mml:mo>
<mml:mo>&#xd7;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>e</mml:mi>
<mml:mi>x</mml:mi>
<mml:msup>
<mml:mi>p</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>k</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mi>b</mml:mi>
</mml:msup>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<p>Where <italic>L<sub>t</sub>
</italic> and <italic>W<sub>t</sub>
</italic> are the length (cm) and weight (g) of fish, respectively, that can be expected at age t (years); L<sub>&#x221e;</sub> and W<sub>&#x221e;</sub> are asymptotic length (cm) and weight (g) of the fish, respectively; k is the growth coefficient of the fitted curve; t<sub>0</sub> is the age (year) when the size of the fish was theoretically zero. It is also the point where the fitted growth curve intersects the x-axis and is also used as a proxy for the gestation or incubation period (hatching duration). The weight form of the von Bertalanffy&#x2019;s growth equation (<xref ref-type="disp-formula" rid="eq2">Equation 2</xref>) necessitates another parameter, i.e., b, which is the power of the length-weight relationship of the fish. The relationship between length and weight (LWR) was established using the power law suggested by <xref ref-type="bibr" rid="B25">Le Cren (1951)</xref>.</p>
<disp-formula>
<mml:math display="block" id="M12">
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mi>W</mml:mi>
<mml:mo>=</mml:mo>
<mml:mi>a</mml:mi>
<mml:msup>
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>L</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mi>b</mml:mi>
</mml:msup>
</mml:mrow>
</mml:math>
</disp-formula>
<p>Where BW is the body weight of fish in g; TL is the total length of fish in cm; &#x2018;a&#x2019; and &#x2018;b&#x2019; are model coefficients. A Wald test was performed to check if the growth is isometric (b=3.0) or allometric (b&#x2260;3.0).</p>
</sec>
<sec id="s2_8">
<label>2.8</label>
<title>Statistical analysis</title>
<p>The Shapiro-Wilk test (<xref ref-type="bibr" rid="B51">Shapiro and Wilk, 1965</xref>) was performed on growth performance and feed utilization performance data to check the normality of the data. An F-test was performed to check the equality or homogeneity of variance (homoscedasticity). When the assumption of normality of the data was not met, the Welch t-test was performed to determine if there were statistically significant differences between the means of the experimental groups. All the statistical analyses in the present study were performed using the R statistical software package (<xref ref-type="bibr" rid="B47">R Core Team, 2021</xref>).</p>
</sec>
</sec>
<sec id="s3" sec-type="results">
<label>3</label>
<title>Results</title>
<sec id="s3_1">
<label>3.1</label>
<title>Growth performance and feed utilization efficiency of Black-spotted croaker in polyculture setups (Group-1 and Group-2)</title>
<p>The growth performance and feed utilization efficiency indicators and their comparisons between the two experimental groups (Group-1 vs. Group-2) are shown in <xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref> and <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Table S1</bold>
</xref>. Both the relative growth indicators, i.e., total length gain (TLG%, <xref ref-type="fig" rid="f3">
<bold>Figure 3A</bold>
</xref>), body weight gain% (BWG%, <xref ref-type="fig" rid="f3">
<bold>Figure 3B</bold>
</xref>) and the instantaneous growth indicator, i.e., specific growth rate (SGR, <xref ref-type="fig" rid="f3">
<bold>Figure 3D</bold>
</xref>) were significantly higher (P &#x2264; 0.05) in Group-1 compared to the Group-2. Contrary to this a significantly lower (P &#x2264; 0.05) absolute growth rate (AGR) (<xref ref-type="fig" rid="f3">
<bold>Figure 3F</bold>
</xref>) was recorded in the Group-1 compared to the Group-2. The condition factor (CF) (<xref ref-type="fig" rid="f3">
<bold>Figure 3C</bold>
</xref>) did not show any significant difference (P &gt; 0.05) among the experimental groups.</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>Comparison of growth performance indices, <bold>(A)</bold> total length gain (TLG%), <bold>(B)</bold> body weight gain (BWG%), <bold>(C)</bold> condition factor (CF), <bold>(D)</bold> specific growth rate (SGR), <bold>(E)</bold> modeled growth (increment in body weight) during culture, <bold>(F)</bold> absolute growth rate (AGR); and feed utilization indices, <bold>(G)</bold> feed conversion ratio (FCR), <bold>(H)</bold> feed efficiency ratio (FER), and <bold>(I)</bold> protein efficiency ratio (PER) between the fish (<italic>Protonibea diacanthus</italic>) reared in two experimental groups (Group-1 vs. Group-2).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-11-1473319-g003.tif"/>
</fig>
<p>The modeled growth in terms of absolute increase in body weight is presented in <xref ref-type="fig" rid="f3">
<bold>Figure 3E</bold>
</xref>. None of the feed efficiency indicators, i.e., feed conversion ratio (FCR, <xref ref-type="fig" rid="f3">
<bold>Figure 3G</bold>
</xref>), feed efficiency ratio (FER, <xref ref-type="fig" rid="f3">
<bold>Figure 3H</bold>
</xref>) as well as the protein efficiency ratio (PER, <xref ref-type="fig" rid="f3">
<bold>Figure 3I</bold>
</xref>) showed any signficant difference (P &gt; 0.05) among the experimental groups. The survival was 100% in both the experimental groups.</p>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Growth performance and feed utilization efficiency of Indian pompano (polyculture and monoculture setups)</title>
<p>The growth performance and feed utilization efficiency indicators and their comparisons between the two culture systems (polyculture and monoculture) are shown in <xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref> and <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Table S2</bold>
</xref>. The relative growth indicators, i.e., TLG% (<xref ref-type="fig" rid="f4">
<bold>Figure 4A</bold>
</xref>), BWG% (<xref ref-type="fig" rid="f4">
<bold>Figure 4B</bold>
</xref>) and CF (<xref ref-type="fig" rid="f3">
<bold>Figure 4C</bold>
</xref>) of <italic>T. mookalee</italic> grown in polyculture mode with <italic>P. diacanthus</italic> did not vary significantly (P&gt; 0.05) from that of the fish grown in monoculture mode. Similarly, there was no significant difference (P&gt; 0.05) in the SGR (<xref ref-type="fig" rid="f4">
<bold>Figure 4D</bold>
</xref>) and AGR (<xref ref-type="fig" rid="f4">
<bold>Figure 4F</bold>
</xref>) of <italic>T. mookalee</italic> grown in polyculture and monoculture modes. The von Bertalanffy&#x2019;s growth function (VBGF) parameters derived by fitting the growth model using fortnightly weight increment data of <italic>T. mookalee</italic> is shown in <xref ref-type="fig" rid="f4">
<bold>Figure 4E</bold>
</xref>. The asymptotic length (L<sub>&#x221e;</sub>) and weight (W<sub>&#x221e;</sub>) for the fish were derived as 95.06 &#xb1; 1.24&#xa0;cm and 11574.49 &#xb1; 377.90&#xa0;g, respectively for polyculture mode and 95.17 &#xb1; 1.30&#xa0;cm and 11850.12 &#xb1; 387.80&#xa0;g, respectively for monoculture mode. The modeled growth coefficient (k) and t<sub>0</sub> were 0.48 &#xb1; 0.01 yr<sup>-1</sup> and -0.004 &#xb1; 0.01 yr, respectively for polyculture mode and 0.48 &#xb1; 0.01 yr<sup>-1</sup> and -0.003 &#xb1; 0.01 yr, respectively for monoculture mode. The simulated growth trajectories for <italic>T. mookalee</italic> grown in polyculture mode with <italic>P. diacanthus</italic> did not vary significantly (P&gt; 0.05) from that of the <italic>T. mookalee</italic> grown alone in monoculture mode. Similarly, none of the feed utilization efficiency indices viz., FCR (<xref ref-type="fig" rid="f4">
<bold>'Figure 4G</bold>
</xref>), FER (<xref ref-type="fig" rid="f4">
<bold>Figure 4H</bold>
</xref>) and PER (<xref ref-type="fig" rid="f4">
<bold>Figure 4I</bold>
</xref>) of <italic>T. mookalee</italic> were significantly different beween the polyculture and monoculture setups.</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Comparison of growth performance indices, <bold>(A)</bold> total length gain (TLG%), <bold>(B)</bold> body weight gain (BWG%), <bold>(C)</bold> condition factor (CF), <bold>(D)</bold> specific growth rate (SGR), <bold>(E)</bold> modeled growth (increment in body weight) during culture, <bold>(F)</bold> absolute growth rate (AGR); and feed utilization indices, <bold>(G)</bold> feed conversion ratio (FCR), <bold>(H)</bold> feed efficiency ratio (FER), and <bold>(I)</bold> protein efficiency ratio (PER) between the fish (<italic>Trachinotus mookalee</italic>) reared in two culture setups (Polyculture vs. Monoculture).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-11-1473319-g004.tif"/>
</fig>
</sec>
<sec id="s3_3">
<label>3.3</label>
<title>Growth modeling of Black spotted croaker in captive conditions (marine cages)</title>
<p>The length-weight relationship (LWR) modeled for the fish is shown in <xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5</bold>
</xref>. The weight increment appears to be isometric as the exponent (b) is not significantly different from 3 (Wald-test, F-value=0.2292, P=0.6339). The von Bertalanffy&#x2019;s growth function (VBGF) parameters derived by fitting the growth model using fortnightly length and weight increment data are shown in <xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6</bold>
</xref> and their comparison with earlier studies is given in <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>, <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplemetary Table S3</bold>
</xref> and <xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7</bold>
</xref>. The asymptotic length (L<sub>&#x221e;</sub>) and weight (W<sub>&#x221e;</sub>) for the fish were derived as 164.21 &#xb1; 3.58&#xa0;cm and 44070.19 &#xb1; 2811&#xa0;g, respectively. The modeled growth coefficient (K) and t<sub>0</sub> were 0.30 &#xb1; 0.01 yr<sup>-1</sup> and -0.005 &#xb1; 0.02 yr, respectively. The fortnightly and annual growth projections from previously established growth models using samples from the natural feral (wild) condition and the presently fitted growth model using samples from the natural captive (culture) condition are shown in <xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7</bold>
</xref> and <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Table S3</bold>
</xref>. The projected age for sexual maturity (TM<sub>50</sub>) appears to be earlier (approximately 2.5 years) under natural captivity compared to the wild condition (<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7</bold>
</xref>), which indicates that the species grows faster and matures earlier when cultured in a natural captive condition. The growth performance index (&#x3d5;&#x2019;=1.91) was also observed to be higher in the fish cultured in sea cage farms compared to the fish in the wild (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>).</p>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>Relationship between the total length (cm) and body weight (g) of <italic>Protonibea diacanthus</italic> (<bold>A</bold>: observed data; <bold>B</bold>: modeled projection).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-11-1473319-g005.tif"/>
</fig>
<fig id="f6" position="float">
<label>Figure&#xa0;6</label>
<caption>
<p>Growth modeling of <italic>Protonibea diacanthus</italic> using fortnightly length and weight increment data. <bold>(A)</bold> represents length-based VBGF model, with the blue arrow indicating a zoomed view of the actual length increment data fitted by the model. <bold>(B)</bold> represents weight-based VBGF model, with the red arrow indicating a zoomed view of the actual weight increment data fitted by the model.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-11-1473319-g006.tif"/>
</fig>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Von Bertalanffy&#x2019;s Growth Function (VBGF) parameters and Length-Weight Relationship (LWR) parameters (Mean &#xb1; SE) modeled for <italic>Protonibea diacanthus</italic> reared in sea cage farms at Bahabalpur (Odisha, India), and comparison with earlier studies.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left"/>
<th valign="bottom" colspan="4" align="center">VBGF parameters</th>
<th valign="bottom" colspan="2" align="center">Length-weight relationship</th>
</tr>
<tr>
<th valign="top" align="left">Parameters</th>
<th valign="bottom" align="right">L<sub>&#x221e;</sub> (cm)</th>
<th valign="bottom" align="right">K (yr<sup>-1</sup>)</th>
<th valign="bottom" align="right">&#x3d5;&#x2019;</th>
<th valign="bottom" align="right">t<sub>0</sub> (yr)</th>
<th valign="bottom" align="right">a</th>
<th valign="bottom" align="right">b</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Present study</td>
<td valign="bottom" align="right">164.21</td>
<td valign="bottom" align="right">0.30</td>
<td valign="bottom" align="right">1.91</td>
<td valign="bottom" align="right">-0.005</td>
<td valign="bottom" align="right">0.016</td>
<td valign="bottom" align="right">2.91</td>
</tr>
<tr>
<td valign="top" align="left">
<xref ref-type="bibr" rid="B45">Rao, 1966</xref>
</td>
<td valign="bottom" align="right">122.14</td>
<td valign="bottom" align="right">0.32</td>
<td valign="bottom" align="right">1.67</td>
<td valign="bottom" align="right">-0.310</td>
<td valign="bottom" align="right"/>
<td valign="bottom" align="right"/>
</tr>
<tr>
<td valign="top" align="left">
<xref ref-type="bibr" rid="B46">Rao, 1968</xref>
</td>
<td valign="bottom" align="right">144.72</td>
<td valign="bottom" align="right">0.19</td>
<td valign="bottom" align="right">1.61</td>
<td valign="bottom" align="right">-0.690</td>
<td valign="bottom" align="right"/>
<td valign="bottom" align="right"/>
</tr>
<tr>
<td valign="top" align="left">
<xref ref-type="bibr" rid="B13">Erzini, 1991</xref>
</td>
<td valign="bottom" align="right">114.00</td>
<td valign="bottom" align="right">0.39</td>
<td valign="bottom" align="right">1.70</td>
<td valign="bottom" align="right"/>
<td valign="bottom" align="right"/>
<td valign="bottom" align="right"/>
</tr>
<tr>
<td valign="top" align="left">
<xref ref-type="bibr" rid="B6">Bibby and McPherson, 1997</xref>
</td>
<td valign="top" align="right">136.60</td>
<td valign="top" align="right">0.32</td>
<td valign="top" align="right">1.78</td>
<td valign="top" align="right">0.180</td>
<td valign="top" align="right">0.015</td>
<td valign="top" align="right">2.88</td>
</tr>
<tr>
<td valign="top" align="left">
<xref ref-type="bibr" rid="B16">Ghosh et&#xa0;al., 2010</xref>
</td>
<td valign="bottom" align="right">145.30</td>
<td valign="bottom" align="right">0.14</td>
<td valign="bottom" align="right">1.47</td>
<td valign="bottom" align="right">-0.074</td>
<td valign="bottom" align="right">0.017</td>
<td valign="bottom" align="right">2.86</td>
</tr>
<tr>
<td valign="top" align="left">
<xref ref-type="bibr" rid="B26">Leigh et&#xa0;al., 2022</xref>
</td>
<td valign="bottom" align="right">118.50</td>
<td valign="bottom" align="right">0.42</td>
<td valign="bottom" align="right">1.77</td>
<td valign="bottom" align="right"/>
<td valign="bottom" align="right"/>
<td valign="bottom" align="right"/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>L<sub>&#x221e;</sub>, asymptotic length; K, growth coefficient; t<sub>0</sub>, age when length was theoretically zero; a &amp; b, length weight relationship parameters.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<fig id="f7" position="float">
<label>Figure&#xa0;7</label>
<caption>
<p>Comparison of growth performance of <italic>Protonibea diacanthus</italic> in natural wild conditions, derived from length-at-age keys modeled in earlier studies, with the growth performance of <italic>P. diacanthus</italic> cultured in captive conditions modeled using periodic length increment data from sea cage farms at Bahabalpur (Odisha, India).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-11-1473319-g007.tif"/>
</fig>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<label>4</label>
<title>Discussion</title>
<p>The fast growth and high market price, especially due to the demand for swimbladders and the nutritional quality of its meat make <italic>P. diacanthus</italic> a potential candidate species for marine aquaculture (<xref ref-type="bibr" rid="B27">Li et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B48">Rong et&#xa0;al., 2020</xref>). The data available in the public domain at present describes the growth of the species over short-duration trials conducted for a maximum of up to 56 days. Furthermore, there is no predictive model available to understand the growth of this species in captive conditions for a longer timeframe, which is essential to assess the culture performance of the species for aquaculture. The experiment has generated distinctive <italic>in situ</italic> length increment data, which has been applied to develop models to understand the growth of the species under captive conditions beyond the duration of culture in this study to assess its suitability for aquaculture. The modeled growth performance of the species will pave the way for future research to further refine the technological interventions to develop the species as an ideal candidate species for aquaculture.</p>
<p>From a thorough review of the accessible literature available in the public domain, it appears that in most of the world including India, the breeding and seed production technologies, along with grow-out technology for the species, are yet to be standardized. Therefore, the present study was attempted by using wild-caught juveniles of <italic>P. diacanthus</italic> and integrating it to the culture set-up originally developed for the grow-out of <italic>T. mookalee</italic>. Uniformity in initial stocking size could not be ensured for both the culture groups of <italic>P. diacanthus</italic> (Group-1 and Group-2) due to the sole dependency on nature for seed materials. As the <italic>T. mookalee</italic>, the originally mandated species of the ongoing demonstration program, were harvested after a culture period of 5 months (148 days), it was economically not viable to further continue the culture experiment with <italic>P. diacanthus</italic>. Nevertheless, the experiment could generate the much-needed and rarely available length and weight increment data for 148 days necessary to model the growth performance of <italic>P. diacanthus</italic> under natural captive conditions, which is of paramount importance to evaluate the species for its aquaculture potential so that future research for its artificial propagation, seed production and grow-out technology can be envisaged.</p>
<p>The few short-duration (56-day) sea-based <italic>in-situ</italic> culture trials conducted by earlier studies have reported the growth performance of <italic>P. diacanthus</italic> either in terms of absolute growth rate (length or weight increase) or relative growth rate (length or weight gain percentage compared to initial length or weight, respectively) or as an instantaneous growth rate (specific growth) (<xref ref-type="bibr" rid="B27">Li et&#xa0;al., 2016</xref>, <xref ref-type="bibr" rid="B28">2017</xref>, <xref ref-type="bibr" rid="B30">2019</xref>; <xref ref-type="bibr" rid="B48">Rong et&#xa0;al., 2020</xref>). However, these indices have certain inherent limitations in their underlying assumptions. For example, the absolute growth rate (AGR) in the present study was observed to be significantly higher (P&lt; 0.05) in Group-2 (mean weight &#xb1; SE: 287.80 &#xb1; 16.90&#xa0;g) compared to the Group-1 (mean weight &#xb1; SE: 130.15 &#xb1; 6.39&#xa0;g). In aquaculture studies, the AGR, though considered a standard method or index for expressing and comparing the growth rate, it assumes that growth is linear and constant throughout the entire life history of fish, which is not true (<xref ref-type="bibr" rid="B19">Hopkins, 1992</xref>). Furthermore, AGR measures the total change in the mass of cultured animals over a specified time period, but it assumes that the individuals being compared should have the same initial sizes. Otherwise, the periodic increase in absolute mass of a slow growing larger individual could be higher than the fast-growing smaller individuals. Therefore, AGR could give biased results if the cultured animals have different initial sizes. One way to address this issue (different initial stocking size or biomass) is to calculate the growth rate of the cultured animals in terms of relative growth rate index (RGR) that derives the growth as a ratio of final to initial mass. It assumes that the animals grow in equal proportion throughout their entire life stage which is not true. Fish usually grow slower during the initial and late stages and faster during the intermediate stage, which is entirely ignored by the above-mentioned growth performance indices and therefore, could be less informative when such indices are used to compare growth over a longer duration. In the present study, contrary to the AGR, the RGRs (i.e., TLG and BWG), were significantly higher (P&lt; 0.05), in the Group-1 (mean weight &#xb1; SE: 130.15 &#xb1; 6.39&#xa0;g) compared to the Group-2 (mean weight &#xb1; SE: 287.80 &#xb1; 16.90&#xa0;g), which is due to faster growth rate of the smaller individuals compared to the larger. Another way of expressing the growth rate is the instantaneous growth rate, a form of which is expressed as the specific growth rate (SGR). Since it assumes the weight of fish grows exponentially, it is only valid to compare the growth of fast-growing young fish cultured for a short-duration but not valid for larger fish cultured for a long duration (<xref ref-type="bibr" rid="B19">Hopkins, 1992</xref>). In the present study, just like the AGRs, the SGR was found to be higher for smaller sized Group-1 compared to the large sized Group-2. Therefore, all these indices may not always be suitable to compare the growth performance of the fish in experimental set-ups, especially which depends on feral fish as it is difficult to ensure same culture size and duration among the experimental groups due to the sole dependency on wild for seed. Another way of expressing the growth rate is the instantaneous growth rate, a form of which is expressed as the specific growth rate (SGR). Since it assumes the weight of fish grows exponentially, it is only valid for young fish cultured for a short-duration but not valid for larger fish cultured for a long duration (<xref ref-type="bibr" rid="B19">Hopkins, 1992</xref>).</p>
<p>Furthermore, the conventional growth indices have very limited applicability as they can only describe the growth that can be observed during a culture experiment, mostly by differentiating the growth at the end by comparing it with the growth at the beginning of the experiment. To visualize what is happening at intermediate points and beyond the observable experimental data and make any predictions about further growth development, it is essential to use complex non-linear models. The von Bertalanffy growth function (VBGF) is one such nonlinear model that is popularly used in fishery biology to describe the growth of fish (<xref ref-type="bibr" rid="B19">Hopkins, 1992</xref>; <xref ref-type="bibr" rid="B32">Lugert et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B31">Lugert et&#xa0;al., 2017</xref>). Furthermore, the majority of the studies conducted to assess the life history parameters of feral populations of <italic>P. diacanthus</italic> have modeled the growth parameters using the non-linear von Bertalanffy growth function (VBGF) and therefore, the same was adopted in the present study so that the results can be compared. The present study is unique in that the growth performance of <italic>P. diacanthus</italic> has been modeled using the length and weight increment data collected over the longest available culture duration of 148 days through the VBGF model, which could be considered scientifically sound and more reliable.</p>
<p>According to <xref ref-type="bibr" rid="B26">Leigh et&#xa0;al. (2022)</xref>, <italic>P. diacanthus</italic> is a large species which can attain lengths of at least 150&#xa0;cm in total length and weights of at least 42&#xa0;kg, and can live up to at least 15 years. The growth performance modeled using von Bertalanffy&#x2019;s growth function (VBGF) revealed an asymptotic length (L<sub>&#x221e;</sub>) of 164.21&#xa0;cm and a growth rate of 0.30 yr<sup>-1</sup> for the species. By comparing the L<sub>&#x221e;</sub> derived in the present study with that of the earlier studies mentioned in <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>, though it appears to be higher, it is reasonable as the back calculated L<sub>max</sub> (i.e., 156&#xa0;cm) using the empirical thumb rule of the relationship between L<sub>&#x221e;</sub> and L<sub>max</sub> (i.e., L<sub>&#x221e;</sub> <bold>=</bold> L<sub>max</sub>/0.95) recommended by <xref ref-type="bibr" rid="B39">Pauly (1984)</xref> and <xref ref-type="bibr" rid="B56">Taylor (1958)</xref>, is similar to the observed L<sub>max</sub> of 156&#xa0;cm and 152&#xa0;cm for this species that have previously been reported from Maharashtra and Gujarat states of India (<xref ref-type="bibr" rid="B20">Hotagi, 1994</xref>; <xref ref-type="bibr" rid="B36">Mohammed et&#xa0;al., 2009</xref>). The present estimate is also similar to the L<sub>max</sub> of 154&#xa0;cm (<xref ref-type="bibr" rid="B6">Bibby and McPherson, 1997</xref>) reported from the Queensland Gulf (Australia). However, the present estimate of maximum length (L<sub>max</sub> = 156&#xa0;cm) and maximum body weight derived using the L<sub>max</sub> and length-weight relationship (W<sub>max</sub> = 37925&#xa0;g) are smaller compared to the L<sub>max</sub> of 176&#xa0;cm and W<sub>max</sub> of 45000&#xa0;g reported by <xref ref-type="bibr" rid="B17">Grant (1982)</xref> from Queensland (Australia), though the latter was almost similar to the asymptotic weight (W<bold>
<sub>&#x221e;</sub>=</bold>44070 g) modeled in the present study. Similarly, there are studies from India (<xref ref-type="bibr" rid="B45">Rao, 1966</xref>, <xref ref-type="bibr" rid="B46">1968</xref>; <xref ref-type="bibr" rid="B16">Ghosh et&#xa0;al., 2010</xref>) as well as Australia (<xref ref-type="bibr" rid="B13">Erzini, 1991</xref>; <xref ref-type="bibr" rid="B6">Bibby and McPherson, 1997</xref>; <xref ref-type="bibr" rid="B26">Leigh et&#xa0;al., 2022</xref>) where the derived L<sub>&#x221e;</sub> can be observed to be lower compared to the present study. As the L<sub>max</sub> (and so does the dependent L<sub>&#x221e;</sub>) depends mostly on the exploitation parameters, it tends to decrease when there is targeted fishery for the species, which is evident in the <italic>P. diacanthus</italic> fishery of Queensland (Australia), where the L<sub>max</sub> has decreased drastically from 176&#xa0;cm in 1982 to 92.5&#xa0;cm in 2000, and then subsequently revived to 103.5&#xa0;cm in 2002-2003 (<xref ref-type="bibr" rid="B42">Phelan et&#xa0;al., 2008</xref>). In the present study, the dissimilarity observed in the derived L<sub>max</sub> (and therefore the modeled L<sub>&#x221e;</sub>) with that of earlier studies could be due to the spatiotemporal differences in the fishery-related factors. However, the growth coefficient (K) modeled for the species in the present study appears to be similar or higher compared to most of the earlier studies mentioned in <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>, except for those conducted by <xref ref-type="bibr" rid="B13">Erzini (1991)</xref> and <xref ref-type="bibr" rid="B26">Leigh et&#xa0;al. (2022)</xref>. However, careful scrutiny reveals that for these studies, the reported L<sub>&#x221e;</sub> is very low (L<sub>&#x221e;</sub>&lt; 120&#xa0;cm) compared to the present study. Due to its compensatory behaviour, the K increases as the L<sub>&#x221e;</sub> decreases and vice versa, so that the overall growth performance remains more or less constant for a species (<xref ref-type="bibr" rid="B40">Pauly and Munro, 1984</xref>). Therefore, a merely high K value does not necessarily mean a better growth rate and hence the growth performance index (&#x3d5;) should rather be compared to understand the growth performance of the species. As &#x3d5;&#x2019; is based on body length rather than body weight, it is less liable to bias. It has the dimensions of both length and time and is usually normally distributed with smaller standard deviations compared to other growth indices and therefore, it has been recommended as the most flexible and precise estimator of growth performance (<xref ref-type="bibr" rid="B33">Mathews and Samuel, 1990</xref>). The higher &#x3d5;&#x2019; (=1.91) observed in the present study illustrates the superior growth performance of the species under natural captive conditions, which can also be seen in <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Table S2</bold>
</xref> and <xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7</bold>
</xref>. As the growth of the animals in a culture system is strongly boosted in a time-bound manner by technological interventions like highly proteinaceous feed and augmented environmental conditions, they may outperform their wild counterparts in terms of growth performance. It has been substantiated that fish grown in sea-based cage culture set-up exhibit better growth, probably due to the acquisition of supplementary nutrition (apart from highly proteinaceous feed) from naturally occurring organisms growing in/on the culture system, as well as plankton, invertebrates and other live prey items that move through the culture system (<xref ref-type="bibr" rid="B54">Simon and James, 2007</xref>; <xref ref-type="bibr" rid="B41">Perez-Benavente et&#xa0;al., 2010</xref>). Furthermore, fish reared in sea-based culture systems with adequate water exchanges are likely to receive environmental (physical) enrichment that attenuates stress and improves overall welfare (<xref ref-type="bibr" rid="B22">Johnsson et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B37">N&#xe4;slund and Johnsson, 2016</xref>; <xref ref-type="bibr" rid="B23">Jones et&#xa0;al., 2021</xref>).</p>
<p>
<xref ref-type="bibr" rid="B35">McPherson (1997)</xref> and <xref ref-type="bibr" rid="B42">Phelan et&#xa0;al. (2008)</xref> have reported the length at first maturity to be 79&#xa0;cm TL in Northern Cape York Peninsula waters and 92&#xa0;cm TL in Queensland waters respectively, that approximately corresponds to the 3 and 4 years age classes using the length/age keys developed by <xref ref-type="bibr" rid="B6">Bibby and McPherson (1997)</xref>. The findings of <xref ref-type="bibr" rid="B42">Phelan et&#xa0;al. (2008)</xref> also match with the observations by <xref ref-type="bibr" rid="B44">Rao (1963)</xref> from Indian waters, who found that 5% of the fish were mature in the 75&#x2013;80 cm TL, 36.8% in 80&#x2013;85 cm TL, 91% in 85&#x2013;90 cm TL, and 100% in 90&#x2013;95 cm TL, in which the first length at maturity is attained at an approximate age of 3 years using the VBGF modeled for the species by <xref ref-type="bibr" rid="B45">Rao (1966)</xref>. The spatiotemporal variations in the size of maturity observed in these studies could be attributed to fisheries related exploitation factors that influence the maturity of the targeted population, which decreases as the targeted exploitation increases (<xref ref-type="bibr" rid="B42">Phelan et&#xa0;al., 2008</xref>). According to the growth model developed in the present study, these lengths of maturity, i.e., 79&#xa0;cm and 92&#xa0;cm TL would be attained at about 2.2 years and 2.7 years respectively if the fish are allowed to grow under natural captive conditions. This implies that the fish matures a year earlier in the natural captive condition (which can be verified in <xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6</bold>
</xref>) as it grows faster compared to the wild ones that grow in natural conditions. The information has great implications as it can be used to design future experiments to standardize artificial breeding and seed production of <italic>P. diacanthus</italic>.</p>
<p>A comparison with previous captive-rearing studies conducted in China provides valuable insights into growth performance. As growth performance indicators (GPIs) like WG% and SGR depend on the initial size or body weight of fish, the indices generated in the present study cannot be compared directly with those from the earlier studies. To enable an unbiased comparison, initial body weight of the present study was simulated to match with the initial body weights of the previous studies and the final body weight after 56 days of culture (which is the culture duration of the previous studies) was derived using the established VBGF growth model. The simulated GPIs, i.e., 160.81 WG% and 1.71 SGR obtained in the present study by feeding the fish a commercial diet containing 40% crude protein were marginally lower compared to the GPIs (171.74 WG% and 1.78 SGR) obtained by <xref ref-type="bibr" rid="B27">Li et&#xa0;al. (2016)</xref> when fish were fed a commercial diet having 41% crude protein. The GPIs were also observed to be higher compared to the present study when the fish were fed a commercial diet having higher percentage (&#x2265; 45%) of crude protein (<xref ref-type="bibr" rid="B27">Li et&#xa0;al., 2016</xref>, <xref ref-type="bibr" rid="B28">2017</xref>, <xref ref-type="bibr" rid="B30">2019</xref> and <xref ref-type="bibr" rid="B29">Li et&#xa0;al., 2020</xref>). It is well established that carnivorous fish generally exhibit enhanced growth performance when provided with diets containing high levels of good-quality protein (<xref ref-type="bibr" rid="B34">McGoogan and Gatlin, 1999</xref>). As a carnivorous species, <italic>P. diacanthus</italic> exhibits a limited ability to utilize non-protein energy sources, and relies primarily on protein oxidation to fulfill its cellular energy requirements (<xref ref-type="bibr" rid="B28">Li et&#xa0;al., 2017</xref>).</p>
<p>A comparison of feed utilization indicators across the experimental groups (Group-1 vs. Group-2) revealed no significant differences in FCR, FER, and PER. However, the feed efficiency indicators obtained in this study (i.e., FCR of 5.15, FER of 0.19, and PER of 0.49) were inferior to those reported by <xref ref-type="bibr" rid="B27">Li et&#xa0;al. (2016)</xref>, who observed an FCR of 1.59, FER of 0.63, and PER of 1.55 by feeding <italic>P. diacanthus</italic> a diet containing 41% crude protein, primarily supplemented with fishmeal. Similarly, better feed utilization indicators were noted in studies where diets with higher protein content (&#x2265;45%) were provided (<xref ref-type="bibr" rid="B30">Li et&#xa0;al., 2019</xref>, <xref ref-type="bibr" rid="B29">2020</xref>). The considerable deviation in feed efficiency parameters between the present study and earlier investigations could be attributed to the differences in initial stocking size. Additionally, the present study did not specifically focus on evaluating feed utilization efficiency of <italic>P. diacanthus</italic>. This was due to the limited availability of wild-caught <italic>P. diacanthus</italic> seeds, resulting in its rearing alongside <italic>T. mookalee</italic> in small proportions. Consequently, the same feeding regime was applied to both species, making it challenging to monitor and optimize the actual feed intake of <italic>P. diacanthus</italic>. Instead, this experiment served as an opportunity to generate growth data for <italic>P. diacanthus</italic> under natural captive conditions (marine cages). The primary aim was to assess the feasibility of captive rearing for this species rather than to optimize feed utilization.</p>
<p>The condition factor (CF) reported in the present study, i.e., 1.13&#xa0;g cm<sup>-3</sup> and 1.14&#xa0;g cm<sup>-3</sup> for Group-1 and Group-2, respectively, though not significantly different between the groups, are less compared to the CF of 1.74&#xa0;g cm<sup>-3</sup> reported by <xref ref-type="bibr" rid="B27">Li et&#xa0;al. (2016)</xref>, 1.61&#xa0;g cm<sup>-3</sup> reported by <xref ref-type="bibr" rid="B28">Li et&#xa0;al. (2017)</xref> and 1.65&#xa0;g cm<sup>-3</sup> reported by <xref ref-type="bibr" rid="B29">Li et&#xa0;al. (2020)</xref>. This indicates that the fish grown in the present study were lean and slender compared to the fishes grown in these above-mentioned earlier studies. As the crude lipid content in most of the previous studies was slightly higher, it might have influenced the fish to become fatty and pulpier. Furthermore, as both the feed utilization indicators and condition factors were lower in the present study, the possibility of growth interference due to the intense competition from the dominant <italic>T. mookalee</italic> for feed and space cannot be entirely ruled out. This also indicates that there is a possibility in which <italic>P. diacanthus</italic> could perform better (both in growth and feed utilization) if allowed to grow in a monoculture setup. Therefore, further studies should be envisaged to optimize the feed efficiency of the species by growing them alone in the laboratory as well as in natural captive conditions. Nevertheless, the study indicates that the species grows faster in natural captive conditions (marine cages) and therefore, can be considered as a probable candidate species for aquaculture.</p>
<p>Interestingly, neither the growth performance indices (TLG, BWG, SGR and AGR) nor the feed utilization indices (FCR, FER and PER) of <italic>T. mookalee</italic> were significantly affected when <italic>P. diacanthus</italic> was introduced. The SGR (&#x2248;1.55% day<sup>-1</sup>), AGR (&#x2248;1.91 g day<sup>-1</sup>) and FCR (2.29) of <italic>T. mookalee</italic> observed in the present study are also found to be in congruence with the earlier reported values of SGR (1.47% day<sup>-1</sup>), AGR (1.89&#xa0;g day<sup>-1</sup>) and FCR (2.19) obtained by growing <italic>T. mookalee</italic> in marine cages off Visakhapatnam coast in India (<xref ref-type="bibr" rid="B50">Sekar et&#xa0;al., 2021</xref>). This indicates that in the present study, the inclusion of <italic>P. diacanthus</italic> in the existing monoculture setups of <italic>T. mookalee</italic> has not adversely or synergistically impacted the growth performance and feed utilization of <italic>T. mookalee</italic>. However, as the number of <italic>P. diacanthus</italic> was lower compared to <italic>T. mookalee</italic>, it would be too premature to comment on this aspect of polyculture.</p>
</sec>
<sec id="s5" sec-type="conclusions">
<label>5</label>
<title>Conclusion</title>
<p>The present study assessed the survival and actual growth of <italic>P. diacanthus</italic> and modeled its potential growth in captive conditions within floating marine cages in a polyculture system with <italic>T. mookalee</italic>. The results, based on length and weight increments analyzed and modeled using the von Bertalanffy Growth Function (VBGF), indicate that <italic>P. diacanthus</italic> exhibits superior growth performance in marine cages compared to wild conditions. Additionally, the study found that co-culturing <italic>P. diacanthus</italic> with Indian Pompano (<italic>T. mookalee</italic>) does not negatively affect the growth or feed utilization efficiency of <italic>T. mookalee</italic>. These findings highlight the potential of <italic>P. diacanthus</italic> to be used as a candidate species in marine cage farming.</p>
</sec>
</body>
<back>
<sec id="s6" sec-type="data-availability">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Material</bold>
</xref>. Further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s7" sec-type="ethics-statement">
<title>Ethics statement</title>
<p>The animal study was approved by ICAR-CMFRI, Central Marine Fisheries Research Institute, Kochi, India. The study was conducted in accordance with the local legislation and institutional requirements.</p>
</sec>
<sec id="s8" sec-type="author-contributions">
<title>Author contributions</title>
<p>SG: Conceptualization, Methodology, Project administration, Supervision, Writing &#x2013; original draft. GD: Conceptualization, Methodology, Software, Writing &#x2013; original draft, Writing &#x2013; review &amp; editing. BD: Data curation, Methodology, Writing &#x2013; original draft. RKP: Data curation, Writing &#x2013; original draft. SM: Data curation, Writing &#x2013; original draft. PRB: Data curation, Writing &#x2013; review &amp; editing. RR: Data&#xa0;curation, Writing &#x2013; review &amp; editing. SS: Formal analysis, Writing&#xa0;&#x2013;&#xa0;original draft. MD: Data curation, Writing &#x2013; original draft. SVR: Writing &#x2013; review &amp; editing. GA: Conceptualization, Supervision,&#xa0;Writing &#x2013; review &amp; editing. JJ: Conceptualization, Supervision, Writing &#x2013; review &amp; editing.</p>
</sec>
<sec id="s9" sec-type="funding-information">
<title>Funding</title>
<p>The author(s) declare financial support was received for the research, authorship, and/or publication of this article. In-house Project Research Grant provided by Indian Council of Agricultural Research, New Delhi, India.</p>
</sec>
<ack>
<title>Acknowledgments</title>
<p>The authors are thankful to the Director, ICAR-Central Marine Fisheries Research Institute, Kochi for providing the requisite infrastructure and facilities to carry out the work.</p>
</ack>
<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.2024.1473319/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fmars.2024.1473319/full#supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="Table1.docx" id="SM1" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document"/>
<supplementary-material xlink:href="Table2.docx" id="SM2" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document"/>
<supplementary-material xlink:href="Table3.docx" id="SM3" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document"/>
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