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<journal-id journal-id-type="publisher-id">Front. Physiol.</journal-id>
<journal-title>Frontiers in Physiology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Physiol.</abbrev-journal-title>
<issn pub-type="epub">1664-042X</issn>
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<publisher-name>Frontiers Media S.A.</publisher-name>
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<article-id pub-id-type="publisher-id">1260346</article-id>
<article-id pub-id-type="doi">10.3389/fphys.2023.1260346</article-id>
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<subj-group subj-group-type="heading">
<subject>Physiology</subject>
<subj-group>
<subject>Original Research</subject>
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<title-group>
<article-title>Reliability of a semi-tethered front crawl sprint performance test in adolescent swimmers</article-title>
<alt-title alt-title-type="left-running-head">Szczepan et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fphys.2023.1260346">10.3389/fphys.2023.1260346</ext-link>
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<name>
<surname>Szczepan</surname>
<given-names>Stefan</given-names>
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<xref ref-type="aff" rid="aff1">
<sup>1</sup>
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<surname>Wr&#xf3;blewska</surname>
<given-names>Zofia</given-names>
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<sup>2</sup>
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<surname>Klich</surname>
<given-names>Sebastian</given-names>
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<xref ref-type="aff" rid="aff3">
<sup>3</sup>
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<surname>Michalik</surname>
<given-names>Kamil</given-names>
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<xref ref-type="aff" rid="aff4">
<sup>4</sup>
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<surname>Gonjo</surname>
<given-names>Tomohiro</given-names>
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<sup>5</sup>
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<surname>Olstad</surname>
<given-names>Bj&#xf8;rn Harald</given-names>
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<sup>6</sup>
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<surname>Rejman</surname>
<given-names>Marek</given-names>
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<sup>1</sup>
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<aff id="aff1">
<sup>1</sup>
<institution>Department of Swimming</institution>, <institution>Faculty of Physical Education and Sport</institution>, <institution>Wroclaw University of Health and Sport Sciences</institution>, <addr-line>Wroclaw</addr-line>, <country>Poland</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Faculty of Pure and Applied Mathematics</institution>, <institution>Wroclaw University of Science and Technology</institution>, <addr-line>Wroclaw</addr-line>, <country>Poland</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Department of Paralympic Sport</institution>, <institution>Faculty of Physical Education and Sport Science</institution>, <institution>Wroclaw University of Health and Sport Sciences</institution>, <addr-line>Wroclaw</addr-line>, <country>Poland</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Department of Human Motor Skills</institution>, <institution>Faculty of Physical Education and Sport Sciences</institution>, <institution>Wroclaw University of Health and Sport Sciences</institution>, <addr-line>Wroclaw</addr-line>, <country>Poland</country>
</aff>
<aff id="aff5">
<sup>5</sup>
<institution>Institute for Life and Earth Sciences</institution>, <institution>School of Energy</institution>, <institution>Geoscience, Infrastructure and Society</institution>, <institution>Heriot-Watt University</institution>, <addr-line>Edinburgh</addr-line>, <country>United Kingdom</country>
</aff>
<aff id="aff6">
<sup>6</sup>
<institution>Department of Physical Performance</institution>, <institution>Norwegian School of Sport Sciences</institution>, <addr-line>Oslo</addr-line>, <country>Norway</country>
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<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/474607/overview">Tarak Driss</ext-link>, Universit&#xe9; Paris Nanterre, France</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/654303/overview">Fl&#xe1;vio De Souza Castro</ext-link>, Federal University of Rio Grande do Sul, Brazil</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1253768/overview">Gavriil George Arsoniadis</ext-link>, National and Kapodistrian University of Athens, Greece</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1199725/overview">Catarina C. Santos</ext-link>, Health Sciences and Human Development (CIDESD), Portugal</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Stefan Szczepan, <email>stefan.szczepan@awf.wroc.pl</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>13</day>
<month>12</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>14</volume>
<elocation-id>1260346</elocation-id>
<history>
<date date-type="received">
<day>17</day>
<month>07</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>29</day>
<month>11</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Szczepan, Wr&#xf3;blewska, Klich, Michalik, Gonjo, Olstad and Rejman.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Szczepan, Wr&#xf3;blewska, Klich, Michalik, Gonjo, Olstad and Rejman</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>This study aimed to evaluate the test-retest reliability of a sprint performance test with semi-tethered front crawl swimming to indirectly assess the current potential to perform at maximal anaerobic effort in adolescent swimmers. Eight adolescent swimmers participated in this study (gender: females (n &#x3d; 4) aged 13.0 &#xb1; 0.8 years, body height 1.6 &#xb1; 0.0&#xa0;m, body mass 50.1 &#xb1; 4.5&#xa0;kg; and males (n &#x3d; 4) aged 13.3 &#xb1; 1.3 years, body height 1.7 &#xb1; 0.1&#xa0;m, body mass 59.0 &#xb1; 8.2&#xa0;kg. The testing protocol consisted of two trials of 25&#xa0;m semi-tethered front crawl swimming with maximal effort and with 1&#xa0;kg resisted isotonic load. Velocity data were recorded automatically by the 1080 Sprint device for 15&#xa0;m (between 3&#xa0;m and 18&#xa0;m). The Fast Fourier Transform algorithm filtered raw instantaneous swimming velocity data in distance (time) function. A third-degree polynomial was used to extract the individual velocity profile, from which the following variables were chosen for test-retest reliability and the assessment of sprint performance: t<sub>trial15</sub>, v<sub>max</sub>, v<sub>min</sub>, tv<sub>to max,</sub> tv<sub>at max</sub>, D<sub>to</sub> v<sub>max</sub>, D<sub>at</sub> v<sub>max</sub>, fatigue index. Parameters such as v<sub>max</sub>, v<sub>min</sub>, and t<sub>trial15</sub> were estimated from swimming velocity profiles and considered as reliable. The CV showed low variance &#x3c;5%; while ICC<sub>2,1</sub> demonstrated respectively good (ICC<sub>2,1</sub>: 0.88), very good (ICC<sub>2,1</sub>: 0.95), and excellent (ICC<sub>2,1</sub>: 0.98) rate of relative reliability; and the Bland-Altman index revealed an acceptable agreement (LoA &#x2264;5%) between two measurements. The sprint performance test based on semi-tethered front crawl swimming confirmed that t<sub>trial15</sub>, v<sub>max,</sub> and v<sub>min</sub> were reliable variables to indirectly indicate a potential to perform the maximal anaerobic effort among adolescent swimmers. The evaluation of the swimming velocity profiles allows coaches to monitor the adaptive changes of performance during the training process.</p>
</abstract>
<kwd-group>
<kwd>swimming</kwd>
<kwd>anaerobic capacity</kwd>
<kwd>semi-tethered swimming</kwd>
<kwd>sport-specific tests</kwd>
<kwd>adolescent swimmers</kwd>
</kwd-group>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Exercise Physiology</meta-value>
</custom-meta>
</custom-meta-wrap>
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</front>
<body>
<sec id="s1">
<title>Introduction</title>
<p>The primary assessment of anaerobic performance on land is based on the Wingate Anaerobic Test (WAnT) (<xref ref-type="bibr" rid="B4">Bar-Or, 1987</xref>), in which the obtained power of exercise is presented as a function of the trial time or covered distance. The maximal power level and the time to reach and maintain the velocity peak may indicate phosphagen capacity and the average power determines glycolytic capacity (<xref ref-type="bibr" rid="B54">Papoti et al., 2013</xref>). A previous study reported a strong correlation (r &#x3d; 0.83) between maximal power measured on the cyclo-ergometer during WAnT and freestyle swimming time for 50&#xa0;m (<xref ref-type="bibr" rid="B33">Hawley and Williams, 1991</xref>). The relationship between the time needed to swim 50&#xa0;m of freestyle and mean power in WAnT performed with upper limbs (r &#x3d; 0.63) and lower limbs (r &#x3d; 0.76) were established by <xref ref-type="bibr" rid="B34">Hawley et al. (1992)</xref>. <xref ref-type="bibr" rid="B24">Duche et al. (1993)</xref> found a strong correlation between the time necessary to swim 50&#xa0;m of freestyle and the average power obtained in the WAnT test (r &#x3d; 0.68). However, it is known that the specificity of the water environment, i.e., water density, buoyant force, or hydrodynamic drag forces (<xref ref-type="bibr" rid="B70">Truijens and Toussaint, 2005</xref>) largely influences aquatic exercise (<xref ref-type="bibr" rid="B41">Kimura et al., 1990</xref>). Thus, the diagnostic value of WAnT during land-based conditions is questionable for assessing the exercise capacity of swimmers because it does not reflect the actual free-swimming conditions (<xref ref-type="bibr" rid="B63">Smolka and Ochmann, 2013</xref>; <xref ref-type="bibr" rid="B64">Soares et al., 2014</xref>).</p>
<p>The evaluation of anaerobic performance in swimmers was also conducted using in-water tests. <xref ref-type="bibr" rid="B62">Shionoya et al. (1999)</xref>, measured the net mechanical power calculated from the product of tethered force and swimming velocity in real-time (during swimming) with an ergometer located on land. <xref ref-type="bibr" rid="B63">Smolka and Ochmann (2013)</xref>, used nonchronometric approaches during in-water tests similar to the WAnT. They analyzed a series of instantaneous swimming velocities over 100&#xa0;m based on data recorded with a video camera. <xref ref-type="bibr" rid="B6">B&#xe1;torov&#xe1; et al. (2021)</xref> and <xref ref-type="bibr" rid="B19">Demarie et al. (2019)</xref>, analyzed anaerobic performance using Inertial Measurement Units (IMU). <xref ref-type="bibr" rid="B25">Fernandes et al. (2008)</xref> and <xref ref-type="bibr" rid="B51">Neiva et al. (2011)</xref>, introduced anaerobic critical velocity (AnCV), as a parameter to evaluate and monitor anaerobic training among swimmers.</p>
<p>The fully-tethered swimming method was also used to assess the anaerobic performance of swimmers in the water through a 30&#xa0;s maximal front crawl swimming test (<xref ref-type="bibr" rid="B50">Nagle Zera et al., 2021</xref>). The swimmer does not move forward in fully-tethered swimming, and the propulsive movements generate zero horizontal velocity (<xref ref-type="bibr" rid="B60">Samson et al., 2019</xref>). <xref ref-type="bibr" rid="B42">Kjendlie and Thorsvald (2006)</xref> showed that a fully-tethered swimming power test was highly reliable (Cronbach&#x2019;s <italic>&#x3b1;</italic> &#x3d; 0.99). However, <xref ref-type="bibr" rid="B60">Samson et al. (2019)</xref> reported that the hand&#x2019;s orientation is perpendicular to the surface of the water earlier than in free swimming, and velocity and acceleration are different in fully-tethered vs free swimming. Furthermore, fully-tethered swimming sustains the strength potential of a swimmer rather than the ability to apply force effectively (<xref ref-type="bibr" rid="B59">Ruiz- Navarro et al., 2020</xref>), leading to the overestimation of force (<xref ref-type="bibr" rid="B61">Santos et al., 2023</xref>). This gives rise to the question of underestimating the measurement of the kinematic of swimming stroke (e.g., acceleration and maximal velocity) which are significant predictors of an adolescent swimmer&#x2019;s performance (<xref ref-type="bibr" rid="B65">Soko&#x142;owski et al., 2022</xref>) and consequently may result in an unrealistic view of the bioenergy of exercise (<xref ref-type="bibr" rid="B68">Thompson et al., 2004</xref>).</p>
<p>Another method helpful in evaluation of swimming performance is semi-tethered swimming. According to this approach, a swimmer moves forward in the water subjected to an external load, while the forward motion induces relative streamwise water flows around the body. Moreover, the swimmer maintains more natural swimming mechanics. It makes the semi-tethered swimming test more specific to the free-swimming condition compared to fully-tethered swimming (<xref ref-type="bibr" rid="B28">Hancock et al., 2015</xref>) depending on the load (<xref ref-type="bibr" rid="B15">Cuenca-Fern&#xe1;ndez et al., 2020</xref>). The semi-tethered method has been used to evaluate the net power output which was calculated by multiplying the speed and force data produced against an external load (<xref ref-type="bibr" rid="B20">Dominguez-Castells et al., 2013</xref>; <xref ref-type="bibr" rid="B40">Kimura et al., 2013</xref>). However, the athletes often swim with almost a constant velocity that makes the sum of the mean propulsive and resistive forces during one stroke cycle nearly zero. Hence, the power calculated in semi-tethered swimming considers the power against the external load and not the propulsive power produced by the swimmer (<xref ref-type="bibr" rid="B27">Gonjo et al., 2021</xref>). The different use of semi-tethered swimming might be useful to measure the velocity with different external loads to examine the interaction between load and velocity (<xref ref-type="bibr" rid="B26">Gonjo et al., 2020</xref>; <xref ref-type="bibr" rid="B53">Olstad et al., 2020</xref>; <xref ref-type="bibr" rid="B27">Gonjo et al., 2021</xref>). The maximum velocity at zero load corresponds to maximal velocity during free-swimming. Moreover, the force exerted by the swimmer at fully tethered swimming should match the magnitude of the tethered force produced by the maximum load at zero velocity. The semi-tethered swimming is a reliable methodology and can potentially be used to assess strength and velocity capabilities during swimming (<xref ref-type="bibr" rid="B53">Olstad et al., 2020</xref>).</p>
<p>Short time and maximum intensity of exercise are the main criteria for the rate of anaerobic pathway contributions, such as split into phosphocreatine and anaerobic glycolysis (<xref ref-type="bibr" rid="B23">Driss and Vandewalle, 2013</xref>). The activation of phosphagen energy sources contribute mainly to the velocity increase for the approximately first 3&#xa0;seconds of exercise (<xref ref-type="bibr" rid="B35">Hirvonen et al., 1987</xref>). The sum of the time to reach v<sub>max</sub> (tv<sub>to max</sub> [s]) and maintain (tv<sub>at max</sub> [s]) maximal velocity is included in the time of maximal phosphagen transformations (<xref ref-type="bibr" rid="B32">Hawley, 1995</xref>). During longer swimming sprints, the maximal velocity (v<sub>max</sub>) and minimum velocity (v<sub>min</sub>) were strong determinants of the time obtained in 100&#xa0;m front crawl swimming (r &#x3d; &#x2212;0.90, r &#x3d; &#x2212;0.92, respectively) (<xref ref-type="bibr" rid="B63">Smolka and Ochmann, 2013</xref>). These variables related to anaerobic metabolism (phosphagen and glycolytic) show a significant relationship with swimming performance at distances of 50&#xa0;m and 100&#xa0;m (<xref ref-type="bibr" rid="B72">Vitor Fde and B&#xf6;hme, 2010</xref>; <xref ref-type="bibr" rid="B51">Neiva et al., 2011</xref>). Furthermore, after only a few seconds of exhaustive work, the power produced by the ATP-PCr system decays, so that after 6&#xa0;seconds it provides only half of the total energy requirements (<xref ref-type="bibr" rid="B32">Hawley, 1995</xref>). After 6&#x2013;10&#xa0;s of maximal exercise, the contribution of anaerobic energy from PCr and anaerobic glycolysis is essentially equivalent (<xref ref-type="bibr" rid="B29">Hargreaves and Spriet, 2020</xref>). Hence, the observation of free-swimming velocity patterns and fatigue over time during a maximal effort could provide information about a swimmer&#x2019;s anaerobic potential and the dynamics of the ATP-PCr cycle to lactic acid transition (<xref ref-type="bibr" rid="B63">Smolka and Ochmann, 2013</xref>; <xref ref-type="bibr" rid="B64">Soares et al., 2014</xref>). The presented arguments allow for the assumption that a semi-tethered swimming test can be used as an objective tool for indirectly measuring a swimmer&#x2019;s potential to perform at maximal anaerobic effort. The potential to perform maximal effort is defined as the work capacity (anaerobic) lasting approximately 15&#xa0;s (<xref ref-type="bibr" rid="B23">Driss and Vandewalle, 2013</xref>).</p>
<p>Adolescents have unique physiological features that greatly differ from those of adults, including a lower ventilatory efficiency during progressive exercise (<xref ref-type="bibr" rid="B12">Cooper et al., 1987</xref>) and a lower anaerobic peak power (<xref ref-type="bibr" rid="B71">Van Praagh and Dor&#xe9;, 2002</xref>). Moreover, anaerobic capacity is known to increase during puberty so the relative anaerobic contribution to short-distance swims would likely be lower in prepubertal <italic>versus</italic> adult swimmers (<xref ref-type="bibr" rid="B48">Mezzaroba and Machado, 2014</xref>). Hence, adolescents have a lower work capacity and therefore are less efficient than adults (<xref ref-type="bibr" rid="B56">Ratel and Blazevich, 2017</xref>). In this cohort, anaerobic metabolism is in its developmental phase (<xref ref-type="bibr" rid="B52">Olbrecht, 2000</xref>), which increases the susceptibility to fatigue (<xref ref-type="bibr" rid="B77">Zaj&#x105;c et al., 2023</xref>). Additionally, in adolescents, inexperienced swimmers, fatigue reactions are also a function of deficits in the quality of swimming technique (<xref ref-type="bibr" rid="B5">Bassan et al., 2016</xref>). Different swimming velocity profiles were also linked to the age and competitive level (<xref ref-type="bibr" rid="B63">Smolka and Ochmann, 2013</xref>; <xref ref-type="bibr" rid="B64">Soares et al., 2014</xref>; <xref ref-type="bibr" rid="B50">Nagle Zera et al., 2021</xref>). Consequently, a different swimming velocity profile is to be expected in adolescent swimmers than in adult swimmers.</p>
<p>Most investigations in the area of an indirect assessment of anaerobic performance in swimming concern adult swimmers (<xref ref-type="bibr" rid="B64">Soares et al., 2014</xref>; <xref ref-type="bibr" rid="B50">Nagle Zera et al., 2021</xref>; <xref ref-type="bibr" rid="B58">Ruiz-Navarro et al., 2022</xref>). Few studies exist which include adolescent subjects (<xref ref-type="bibr" rid="B78">Zamparo et al., 2000</xref>; <xref ref-type="bibr" rid="B67">Strzala and Tyka, 2009</xref>; <xref ref-type="bibr" rid="B48">Mezzaroba and Machado, 2014</xref>; <xref ref-type="bibr" rid="B18">Dekerle, 2021</xref>). There is a lack of research that has used field-based swim tests to examine the swimming velocity profiles in order to objectively monitor the current state of performing maximal anaerobic effort among adolescent swimmers, which is a unique feature of this study. Furthermore, based on a literature review, the current state of knowledge regarding the interpretation of the diagnostic value of various methods for assessing the anaerobic potential of swimmers show discrepancies. Moreover, there is a small number of scientific reports that determine the reliability of using a motorized resistance device with adolescent swimmers.</p>
<p>Therefore, the current study aimed to evaluate the reliability of a sprint performance test determining an individual profile of instantaneous swimming velocity from semi-tethered front crawl swimming to indirectly assess an adolescent swimmer&#x2019;s current potential to perform the maximal anaerobic effort. It was hypothesized that the sprint performance test with semi-tethered front crawl swimming is a reliable method to indirectly indicate a potential to perform the maximal anaerobic effort among adolescent swimmers.</p>
</sec>
<sec sec-type="materials|methods" id="s2">
<title>Materials and methods</title>
<sec id="s2-1">
<title>Participants</title>
<p>Eight healthy, adolescent swimmers participated in this study. According to <xref ref-type="bibr" rid="B16">Curtis (2015)</xref>, the chronological definition of adolescence includes the ages of 10&#x2013;18. Four females aged 13.0 &#xb1; 0.8 years, body height 1.6 &#xb1; 0.0&#xa0;m, body mass 50.1 &#xb1; 4.5&#xa0;kg, and BMI 20.0 &#xb1; 2.0&#xa0;kg&#xa0;m<sup>-2</sup> and four males age 13.3 &#xb1; 1.3 years, body height 1.7 &#xb1; 0.1&#xa0;m, body mass 59.0 &#xb1; 8.2&#xa0;kg, and BMI 19.6 &#xb1; 0.6&#xa0;kg&#xb7;m<sup>-2</sup>. The swimmers had at least 3&#xa0;years of experience in competitive swimming and trained five to eight times per week. Their 50&#xa0;m front crawl performance (females 32.6 &#xb1; 2.3&#xa0;s; males 28.6 &#xb1; 2.6&#xa0;s) categorized them as &#x201c;well trained&#x201d; in their age group. No swimmer suffered from any illness or any other restrictions that could hinder their performance during the experiment. All participants were instructed to avoid strenuous physical exercise over the 24&#xa0;h before data acquisition and were required to maintain their normal lifestyle and diet. The legal guardian and swimmers were given a detailed verbal and written explanation of the investigation&#x2019;s aims, procedures, and any risks involved. The legal guardian of each athlete provided written informed consent prior to participation in the study. The local ethics committee approved the study design (reference number 47). All procedures adhered to the prerogatives set out in the Declaration of Helsinki.</p>
</sec>
<sec id="s2-2">
<title>Testing protocol</title>
<p>The experiment was conducted in a short course indoor 25&#xa0;m swimming pool (water temperature 27&#xb0;C, air temperature 28&#xb0;C, and relative humidity 60%). The 1080 Sprint (1080 Motion, Liding&#xf6;, Sweden) was used for data acquisition in semi-tethered swimming (<xref ref-type="fig" rid="F1">Figure 1</xref>). The measurements were conducted in "isotonic&#x201d; mode, meaning that the load was constant and independent of acceleration and deceleration throughout the entire experiment.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>The test set-up for semi-tethered swimming trials.</p>
</caption>
<graphic xlink:href="fphys-14-1260346-g001.tif"/>
</fig>
<p>A 1.5&#xa0;kW servo motor (2000 RPM OMRON G5 Series Motor, OMRON Corporation, Kyoto, Japan) provided stable resistance over the measurement window (<xref ref-type="bibr" rid="B45">Mangine et al., 2018</xref>). A composite fiber cord was attached to the motor and wrapped around a spool, extending up to 90&#xa0;m. Participants wore a S11875BLTa swim belt (NZ Manufacturing, OH, United States) around their waist to connect the composite fiber cord. The resistance was controlled by the 1080 motion software app (1080 Motion, Liding&#xf6;, Sweden), which also recorded all kinetic data of the sprint trials with a frequency of 333&#xa0;Hz. The mean error of the 1080 Sprint has previously been examined on the land condition and shown to be low across all measurements (velocity error &#xb1;0.5%, distance error &#x3d; &#xb1; 5&#xa0;mm, force error &#xb1;4.8&#xa0;N) (<xref ref-type="bibr" rid="B7">Bergkvist et al., 2015</xref>). The device was placed on a starting block and secured with straps (1.0&#xa0;m above the water level) to prevent the line from disturbing the lower limb movements of the swimmer (<xref ref-type="bibr" rid="B1">Amaro et al., 2017</xref>). Since the device was not placed at the water level, the horizontal velocity was calculated using the trigonometry function according to the to the following <xref ref-type="disp-formula" rid="e1">formula (1)</xref> <xref ref-type="bibr" rid="B27">Gonjo et al. (2021)</xref>:<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:mrow>
<mml:mi mathvariant="bold">v</mml:mi>
<mml:mo>&#x3d;</mml:mo>
</mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold">v</mml:mi>
<mml:mi mathvariant="bold">abs</mml:mi>
</mml:msub>
<mml:mo>&#xb7;</mml:mo>
<mml:mi mathvariant="bold">cos</mml:mi>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:msup>
<mml:mi mathvariant="bold">sin</mml:mi>
<mml:mrow>
<mml:mo>&#x2010;</mml:mo>
<mml:mn mathvariant="bold">1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mrow>
<mml:mn mathvariant="bold">1.0</mml:mn>
<mml:mo>&#xb7;</mml:mo>
</mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="bold">L</mml:mi>
<mml:mi mathvariant="bold">c</mml:mi>
<mml:mrow>
<mml:mo>&#x2010;</mml:mo>
<mml:mn mathvariant="bold">1</mml:mn>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>where: v is the horizontal component of the velocity data, v<sub>abs</sub> is the absolute value of velocity from the software, 1.0 is the height (m) of the device from the water level (the point where the cord is stretched from the equipment), and L<sub>c</sub> is the length of the wire (m) between the machine and the swimmer.</p>
<p>24&#xa0;h before data acquisition, all participants underwent a familiarization session simulating the condition of the main experiment composed of one trial with five strokes at high intensity to become accustomed to swimming with the testing device. Before the experiment, participants performed a 45&#xa0;min standardized warm-up on land and in water. The warm-up on land included arm swings in various positions (20 reps); walkout with twist (10 reps); elastic band pull-apart (20 reps); scapula pushups (10 reps); 1&#xa0;kg med ball throws (5 reps); and squat jumps (5 reps). The warmup in water covered a total volume of 500&#xa0;m and consisted of the following parts: 100&#xa0;m swim (easy pace); 2 &#xd7; 100&#xa0;m swim (kick/drill); 4 &#xd7; 25&#xa0;m (12.5&#xa0;m 90% of the 50&#xa0;m race pace followed by 12.5&#xa0;m easy); and 100&#xa0;m easy swim. Participants also had 10&#xa0;min of seated rest following the warm-up, in accordance with a previous study (<xref ref-type="bibr" rid="B53">Olstad et al., 2020</xref>). The main experimental procedure consisted of two trials of 25&#xa0;m front crawl semi-tethered swimming with maximal effort (during a 1-day test session). To predict the maximum velocity, the number of trials should be minimized in order to avoid fatigue (<xref ref-type="bibr" rid="B26">Gonjo et al., 2020</xref>). The rest time between the trials was 6&#xa0;min to achieve total recovery (<xref ref-type="bibr" rid="B28">Hancock et al., 2015</xref>). Previous studies have proven that in the depleted muscle 100% of the ATP and PCr are restored within 3&#x2013;5&#xa0;min after an &#x201c;all-out&#x201d; bout (<xref ref-type="bibr" rid="B9">Bogdanis et al., 1998</xref>). Furthermore, in the study by <xref ref-type="bibr" rid="B17">Danek et al. (2020)</xref> peak power output (PPO) during six repeated 10&#xa0;s &#x201c;all-out&#x201d; bouts on the cycle ergometer, separated by 4-min of active recovery did not decrease. These results confirm the fact that a 6-min recovery was sufficient to restore the phosphagen source and allow the subject to perform maximal effort in consecutive trials. All trials were performed with training clothes preferred by the swimmers.</p>
<p>An in-water start was used in a prone position on the surface with the participant&#x2019;s legs held by a coach&#x2019;s assistant close to the wall. Participants began to swim at the sound of a whistle (without pushing off the wall). The swimmers were instructed to attain maximal swimming velocity as quickly as possible and to keep it for as long as possible. Furthermore, they were verbally encouraged before and during the test to maintain maximal effort. A previous study suggested that breathing patterns did not influence performance in tethered swimming (<xref ref-type="bibr" rid="B1">Amaro et al., 2017</xref>). Hence, the participants applied a free-breathing pattern for the front crawl technique. Referring to the relationship between short-term exercise with maximal intensity and blood lactate concentration values (<xref ref-type="bibr" rid="B2">Avlonitou, 1996</xref>), the applied sprint performance test with semi-tethered swimming was ensured to be anaerobic.</p>
<p>For all tests, the resisted load was set at the minimum (1&#xa0;kg) while maintaining the cable tension. According to <xref ref-type="bibr" rid="B15">Cuenca-Fern&#xe1;ndez et al. (2020)</xref>, a relatively low load (2.3&#xa0;kg corresponded to 15% maximal load) during semi-tethered swimming allowed to obtain a maximal swimming velocity (1.97&#xa0;m&#x00b7;s<sup>-1</sup>) which in this study indirectly indicated a potential to perform the maximal anaerobic effort. Furthermore, during trials, a swimming velocity would be close to a free-swimming condition. Setting a low load also had a benefit in minimizing the injury risk, as heavier loads could exceed their physical abilities and lead to injuries in adolescent swimmers (<xref ref-type="bibr" rid="B55">Pyne, 2021</xref>). Velocity data were recorded automatically for 15&#xa0;m (between 3&#xa0;m and 18&#xa0;m). The starting point at 3&#xa0;m was motivated by participant&#x2019;s safety, to avoid the machine from pulling the swimmers back into the wall.</p>
</sec>
<sec id="s2-3">
<title>Data analysis</title>
<p>The raw data was exported as instantaneous velocities in the form of a function of time/distance, obtained during the semi-tethered front crawl swimming for each participant (<xref ref-type="fig" rid="F2">Figure 2</xref>). Data analysis was performed in the Python version 3.9.7 software package (Python Software Foundation, Wilmington, United States) and filtered using the Fast Fourier Transform (FFT) with a band-pass filter which only allows frequencies within a specific range determined by the lower and upper cutoff frequencies from 10&#xa0;Hz to 85&#xa0;Hz. (<xref ref-type="bibr" rid="B14">Crenna et al., 2021</xref>) (<xref ref-type="fig" rid="F2">Figure 2</xref>). Those cutoff frequencies were chosen to keep the shape of the curve similar to the WAnT and to obtain detailed swimming velocity profile variables. The sample size of n &#x3d; 8 was set with minimum acceptable reliability (ICC) (<italic>&#x3c1;</italic>
<sub>0</sub>): 0.7, with the level of significance set as a &#x3d; 0.05, and a power of 0.31 (<xref ref-type="bibr" rid="B73">Walter et al., 1998</xref>).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>The raw data chart of registered individual instantaneous swimming velocity (acceleration and deceleration) and the chart of instantaneous swimming velocity in time/distance function after filtering using the FFT algorithm and the individual velocity profile based on the third-degree polynomial generated from the filtered data (study participant &#x23;2, trial &#x23;2).</p>
</caption>
<graphic xlink:href="fphys-14-1260346-g002.tif"/>
</fig>
</sec>
<sec id="s2-4">
<title>Variables estimation</title>
<p>Subsequently, the optimal degree of the polynomial (third-degree polynomial) was selected from the filtered data series using the Akaike Information Criterion (AIC). AIC implements a model&#x2019;s maximal likelihood estimation (log-likelihood) as a measure of its property of fit (<xref ref-type="bibr" rid="B11">Bozdogan, 1987</xref>). An individual velocity profile was estimated for each participant (where: the <italic>X</italic>-axis is time/distance; the <italic>Y</italic>-axis is the fitted polynomial) (<xref ref-type="fig" rid="F2">Figure 2</xref>).</p>
<p>From the polynomial velocity profile, time to reach 15&#xa0;m (from 3&#xa0;m to 18&#xa0;m) (t<sub>trial15</sub> [s]), maximal swimming velocity (v<sub>max</sub> [m&#xb7;s<sup>-1</sup>]), and minimal swimming velocity selected after reaching v<sub>max</sub> for 18&#xa0;m (v<sub>min</sub> [m&#xb7;s<sup>-1</sup>]) were obtained. Furthermore, detailed swimming velocity profile variables (<xref ref-type="bibr" rid="B63">Smolka and Ochmann, 2013</xref>): time to reach v<sub>max</sub> (tv<sub>to max</sub> [s]), time to maintain maximal swimming velocity (tv<sub>at max</sub> [s]) defined as the time interval between the point where v<sub>max</sub> is reached and the point where v<sub>max</sub> decreased by 5%, distance covered when v<sub>max</sub> was reached (D<sub>to</sub> v<sub>max</sub> [m]), distance covered while keeping v<sub>max</sub> (D<sub>at</sub> v<sub>max</sub> [m]) (<xref ref-type="fig" rid="F3">Figure 3</xref>). Additionally, the fatigue index (FI [%]) was calculated using the following <xref ref-type="disp-formula" rid="e2">formula (2)</xref> (<xref ref-type="bibr" rid="B38">Inbar et al., 1996</xref>):<disp-formula id="e2">
<mml:math id="m2">
<mml:mrow>
<mml:mi mathvariant="bold">FI</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold">v</mml:mi>
<mml:mrow>
<mml:mi mathvariant="bold">max</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mo>&#x2010;</mml:mo>
<mml:msub>
<mml:mi mathvariant="bold">v</mml:mi>
<mml:mrow>
<mml:mi mathvariant="bold">min</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mtext>&#x2009;</mml:mtext>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mo>&#xb7;</mml:mo>
<mml:mn mathvariant="bold">100</mml:mn>
</mml:mrow>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#xb7;</mml:mo>
<mml:msubsup>
<mml:mi mathvariant="bold">v</mml:mi>
<mml:mrow>
<mml:mi mathvariant="bold">max</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2010;</mml:mo>
<mml:mn mathvariant="bold">1</mml:mn>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>
</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>An individual instantaneous swimming velocity (acceleration and deceleration) profile in time/distance function, based on a third-degree polynomial generated from filtered data by marking the variables of anaerobic performance of an adolescent swimmer (study participant &#x23;2, trial &#x23;2). Note: v<sub>max</sub> - maximal swimming velocity; v<sub>min</sub> - minimal swimming velocity; D<sub>to</sub> v<sub>max</sub> - distance covered when v<sub>max</sub> was reached; D<sub>at</sub> v<sub>max</sub> - distance covered while v<sub>max</sub> was kept; tv<sub>to</sub> <sub>max</sub> - time to reach v<sub>max</sub>; tv<sub>at</sub> <sub>max</sub> - time interval between the point where v<sub>max</sub> was reached and the point where v<sub>max</sub> decreased by 5%; t<sub>trial15</sub> - time to reach 15&#xa0;m (from 3&#xa0;m to 18&#xa0;m).</p>
</caption>
<graphic xlink:href="fphys-14-1260346-g003.tif"/>
</fig>
<p>Filtered data was normalized (scaled) in relation to the maximum velocity obtained during the semi-tethered swimming trials. Velocity data series was divided by v<sub>max</sub> (range from v<sub>min</sub>&#xb7;v<sub>max</sub>
<sup>&#x2212;1</sup> to 1 was obtained, where 1 was the highest velocity). In regard to maximal abilities, a normalization of data on the vertical axis enabled objective comparison and evaluation of an individual&#x2019;s instantaneous swimming velocity profile in the same scale for selected swimmers (<xref ref-type="fig" rid="F4">Figure 4</xref>).</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>An example of normalized data with an individual velocity profile based on a polynomial curve (girl: study participant &#x23;2, trial &#x23;2; boy: study participant &#x23;1, trial &#x23;2).</p>
</caption>
<graphic xlink:href="fphys-14-1260346-g004.tif"/>
</fig>
<p>Each analyzed parameter was checked for relative and absolute reliability. Reliability is defined as the extent to which measurements can be replicated and reflects a degree of correlation and agreement between measurements (<xref ref-type="bibr" rid="B49">Motheral, 1998</xref>). The 95% confidence interval (95% CI), which defines the range within which the actual value of the statistic is 95% likely to fall, were determined for all reliability indicators.</p>
<p>The coefficient of variation (CV) (%) as an absolute reliability indicator was used to determine the similarity of the assessed variables within two measurements of one subject (intra-subject). This coefficient, as the ratio of the standard deviation to the mean, indicated the range of differentiation of a given parameter (variable dispersion). CV was interpreted as: CV&#x3c;5% low variance; CV &#x3e; 0.05 (or CV&#x3e;5%) high variance (<xref ref-type="bibr" rid="B36">Hopkins et al., 2001</xref>). CV was calculated using the following <xref ref-type="disp-formula" rid="e3">formula (3)</xref>:<disp-formula id="e3">
<mml:math id="m3">
<mml:mrow>
<mml:mi mathvariant="bold">CV</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi mathvariant="bold">SD</mml:mi>
<mml:mo>&#xb7;</mml:mo>
<mml:msup>
<mml:mi mathvariant="bold">M</mml:mi>
<mml:mrow>
<mml:mo>&#x2010;</mml:mo>
<mml:mn mathvariant="bold">1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#xb7;</mml:mo>
<mml:mn mathvariant="bold">100</mml:mn>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>where: SD is the intra-individual standard deviation of both trials; M is the intra-individual mean of both trials).</p>
<p>The intraclass correlation coefficient (ICC) as a relative reliability indicator was a measure of the agreement between the results of the two trials. The relative reliability was classified as poor (ICC&#x3c;0.50), moderate (0.50&#x3c;ICC&#x3c;0.69), good (0.70&#x3c;ICC&#x3c;0.89), or excellent (ICC&#x2265;0.90). A high ICC close to 1 indicated high similarity between values from the same assessed variables and <italic>vice versa</italic>. A low ICC close to zero means that values from the same variables are not similar (<xref ref-type="bibr" rid="B69">Trevethan, 2017</xref>). ICC with a two-way random, absolute agreement, single-measure model (<xref ref-type="bibr" rid="B43">Koo and Li, 2016</xref>) was calculated according to the following <xref ref-type="disp-formula" rid="e4">formula (4)</xref>:<disp-formula id="e4">
<mml:math id="m4">
<mml:mrow>
<mml:mi mathvariant="bold">ICC</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold">MS</mml:mi>
<mml:mi mathvariant="bold">R</mml:mi>
</mml:msub>
<mml:mo>&#x2010;</mml:mo>
<mml:msub>
<mml:mi mathvariant="bold">MS</mml:mi>
<mml:mi mathvariant="bold">E</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#xb7;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold">MS</mml:mi>
<mml:mi mathvariant="bold">R</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi mathvariant="bold">k</mml:mi>
<mml:mo>&#x2010;</mml:mo>
<mml:mn mathvariant="bold">1</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold">MS</mml:mi>
<mml:mi mathvariant="bold">E</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mo>&#x2010;</mml:mo>
<mml:mn mathvariant="bold">1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo>&#x2b;</mml:mo>
<mml:mrow>
<mml:mi mathvariant="bold">k</mml:mi>
<mml:mo>&#xb7;</mml:mo>
</mml:mrow>
<mml:msup>
<mml:mi mathvariant="bold">n</mml:mi>
<mml:mrow>
<mml:mo>&#x2010;</mml:mo>
<mml:mn mathvariant="bold">1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold">MS</mml:mi>
<mml:mi mathvariant="bold">C</mml:mi>
</mml:msub>
<mml:mo>&#x2010;</mml:mo>
<mml:msub>
<mml:mi mathvariant="bold">MS</mml:mi>
<mml:mi mathvariant="bold">E</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>where: MS<sub>R</sub> &#x3d; mean square across rows of a matrix, MS<sub>E</sub> &#x3d; mean square error, MS<sub>C</sub> &#x3d; mean square across columns of a matrix, k &#x3d; number of raters/measurements, and n &#x3d; number of subjects.</p>
<p>Standard error of the mean (SEM) as an absolute reliability indicator has been defined as a determination of the amount of variation spread in the measurement&#x2019;s error of the test (<xref ref-type="bibr" rid="B30">Harvill, 1991</xref>). A high SEM shows that sample means are widely spread around the mean (<xref ref-type="bibr" rid="B74">Weir and William, 2020</xref>). SEM was calculated according to the following <xref ref-type="disp-formula" rid="e5">formula (5)</xref>:<disp-formula id="e5">
<mml:math id="m5">
<mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:mtext mathvariant="bold">SEM</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mtext mathvariant="bold">SD</mml:mtext>
<mml:mo>&#xb7;</mml:mo>
<mml:msqrt>
<mml:mrow>
<mml:mfenced open="(" close="" separators="|">
<mml:mrow>
<mml:mn mathvariant="bold">1</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:msqrt>
<mml:mo>&#x2010;</mml:mo>
<mml:mtext mathvariant="bold">ICC</mml:mtext>
</mml:mrow>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>where: SD is the inter-individual standard deviation of both trials.</p>
<p>Minimal detectable change (MDC) is an absolute reliability indicator of the minimal amount of change in the parameter that must occur in an individual to ensure that the change in score is not the effect of measurement error. MDC was used to differentiate between real change and random measurement error (<xref ref-type="bibr" rid="B66">Stratford and Riddle, 2012</xref>). MDC was calculated according to the following <xref ref-type="disp-formula" rid="e6">formula (6)</xref>:<disp-formula id="e6">
<mml:math id="m6">
<mml:mrow>
<mml:mtext mathvariant="bold">MDC</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mi mathvariant="bold">S</mml:mi>
<mml:mi mathvariant="bold">E</mml:mi>
<mml:mi mathvariant="bold">M</mml:mi>
<mml:mo>&#xb7;</mml:mo>
<mml:mn mathvariant="bold">1.96</mml:mn>
<mml:mo>&#xb7;</mml:mo>
</mml:mrow>
<mml:msqrt>
<mml:mn mathvariant="bold">2</mml:mn>
</mml:msqrt>
</mml:mrow>
</mml:math>
<label>(6)</label>
</disp-formula>where: SEM&#x2212;standard error of the mean.</p>
<p>Bland-Altman plots were constructed to display agreement between two measurements (trials &#x23;1 and &#x23;2) in the analyzed variables. Limits of agreement (LoA) were used to compare individual differences between trial &#x23;1 and &#x23;2, where upper limit &#x3d; mean difference&#x2b;(SD&#xb7;1.96) and lower limit &#x3d; mean difference-(SD&#xb7;1.96). Mean differences &#xb1;1.96 SD were provided for LoA lines. The <italic>p</italic> &#x3c; 0.05 level was considered statistically significant (<xref ref-type="bibr" rid="B8">Bland and Altman, 1999</xref>) (<xref ref-type="fig" rid="F5">Figure 5</xref>).</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>The Bland-Altman plot used to define limits of agreement between two measurements (trial &#x23;1 and &#x23;2) in the test with semi-tethered swimming for vmax, vmin, and ttrial15. The measure differences (<italic>y</italic>-axis) are delineated as a two-measure mean function (<italic>x</italic>-axis) at analyzed variables. The horizontal solid line represents the mean difference between the two measures. The two horizontal dotted lines represent the upper and the lower limit of agreement (1.96&#x2219;SD).</p>
</caption>
<graphic xlink:href="fphys-14-1260346-g005.tif"/>
</fig>
</sec>
</sec>
<sec sec-type="results" id="s3">
<title>Results</title>
<p>
<xref ref-type="fig" rid="F3">Figure 3</xref> shows an individual velocity profile based on a polynomial curve from which the variables describe the potential to perform the maximal anaerobic effort of adolescent swimmers can be read: maximal velocity (v<sub>max</sub>), minimum velocity (v<sub>min</sub>), the distance (D<sub>to</sub> v<sub>max</sub>) and time (tv<sub>to max</sub>) a swimmer need to reach maximal velocity and the distance (D<sub>at</sub> v<sub>max</sub>) and time (tv<sub>at max</sub>) at which a swimmer can maintain maximal swimming velocity according to the criterion of a 5% decrease of v<sub>max</sub>, and time to reach 15&#xa0;m (t<sub>trial15</sub>).</p>
<p>
<xref ref-type="fig" rid="F4">Figure 4</xref> illustrates an example (one representative of a girl and a boy) of normalized data (range from v<sub>min</sub>&#xb7;v<sub>max</sub>
<sup>&#x2212;1</sup> to 1) with an individual velocity profile based on a third-degree polynomial curve.</p>
<p>
<xref ref-type="table" rid="T1">Table 1</xref> shows the relative and absolute reliability indicators (variability estimates (CV), relative reliability (ICC), and absolute reliability (SEM, MDC) for parameters plotting the velocity profile (v<sub>max</sub>, v<sub>min</sub> and t<sub>trial15</sub>) and the variables describing this profile (tv<sub>to max</sub>, tv<sub>at max</sub>, D<sub>to</sub> v<sub>max</sub>, D<sub>at</sub> v<sub>max</sub> and FI).</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Descriptive statistics of parameters plotting the individual velocity profile and variables describing this profile, with estimators of variability (CV), relative reliability (ICC), and absolute reliability (SEM, MDC).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th colspan="3" align="center">Trails<sub>total</sub>
</th>
<th colspan="2" align="center">Trail<sub>&#x23;1</sub>
</th>
<th colspan="2" align="center">Trail<sub>&#x23;2</sub>
</th>
<th colspan="4" align="center">Indexes of reliability</th>
</tr>
<tr>
<td align="left">Variables</td>
<td align="center">M</td>
<td align="center">SD</td>
<td align="center">CI95%</td>
<td align="center">M</td>
<td align="center">SD</td>
<td align="center">M</td>
<td align="center">SD</td>
<td align="center">CV</td>
<td align="center">ICC</td>
<td align="center">SEM</td>
<td align="center">MDC</td>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">v<sub>max</sub> (m&#xb7;s<sup>-1</sup>)</td>
<td align="center">1.27</td>
<td align="center">0.21</td>
<td align="center">1.16&#x2013;1.37</td>
<td align="center">1.24</td>
<td align="center">0.22</td>
<td align="center">1.29</td>
<td align="center">0.21</td>
<td align="center">3.63</td>
<td align="center">0.88</td>
<td align="center">0.07</td>
<td align="center">0.20</td>
</tr>
<tr>
<td align="left">v<sub>min</sub> (m&#xb7;s<sup>-1</sup>)</td>
<td align="center">1.17</td>
<td align="center">0.22</td>
<td align="center">1.06&#x2013;1.28</td>
<td align="center">1.16</td>
<td align="center">0.23</td>
<td align="center">1.18</td>
<td align="center">0.23</td>
<td align="center">2.63</td>
<td align="center">0.95</td>
<td align="center">0.05</td>
<td align="center">0.14</td>
</tr>
<tr>
<td align="left">t<sub>trial15</sub> (s)</td>
<td align="center">12.67</td>
<td align="center">2.27</td>
<td align="center">11.54&#x2013;13.80</td>
<td align="center">12.88</td>
<td align="center">2.49</td>
<td align="center">12.46</td>
<td align="center">2.18</td>
<td align="center">2.71</td>
<td align="center">0.98</td>
<td align="center">0.35</td>
<td align="center">0.97</td>
</tr>
<tr>
<td align="left">tv<sub>to max</sub> (s)</td>
<td align="center">3.22</td>
<td align="center">0.67</td>
<td align="center">2.89&#x2013;3.55</td>
<td align="center">3.54</td>
<td align="center">0.82</td>
<td align="center">2.91</td>
<td align="center">0.24</td>
<td align="center">16.44</td>
<td align="center">0.19</td>
<td align="center">0.73</td>
<td align="center">2.01</td>
</tr>
<tr>
<td align="left">tv<sub>at max</sub> (s)</td>
<td align="center">5.04</td>
<td align="center">1.73</td>
<td align="center">4.18&#x2013;5.90</td>
<td align="center">5.51</td>
<td align="center">2.27</td>
<td align="center">4.57</td>
<td align="center">0.86</td>
<td align="center">18.17</td>
<td align="center">0.01</td>
<td align="center">1.72</td>
<td align="center">4.76</td>
</tr>
<tr>
<td align="left">D<sub>to</sub> v<sub>max</sub> (m)</td>
<td align="center">4.13</td>
<td align="center">1.08</td>
<td align="center">3.59&#x2013;4.66</td>
<td align="center">4.59</td>
<td align="center">1.32</td>
<td align="center">3.66</td>
<td align="center">0.52</td>
<td align="center">16.47</td>
<td align="center">0.50</td>
<td align="center">0.76</td>
<td align="center">2.12</td>
</tr>
<tr>
<td align="left">D<sub>at</sub> v<sub>max</sub> (m)</td>
<td align="center">6.07</td>
<td align="center">2.01</td>
<td align="center">5.07&#x2013;7.07</td>
<td align="center">6.41</td>
<td align="center">2.55</td>
<td align="center">5.73</td>
<td align="center">1.37</td>
<td align="center">17.68</td>
<td align="center">0.24</td>
<td align="center">1.76</td>
<td align="center">4.87</td>
</tr>
<tr>
<td align="left">FI (%)</td>
<td align="center">8.12</td>
<td align="center">3.77</td>
<td align="center">6.24&#x2013;9.99</td>
<td align="center">6.98</td>
<td align="center">4.15</td>
<td align="center">9.25</td>
<td align="center">3.21</td>
<td align="center">39.89</td>
<td align="center">0.48</td>
<td align="center">2.73</td>
<td align="center">7.56</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: Variables obtained after fitting the polynomial to the series of filtered output data. Parameters plotting the individual velocity profile v<sub>max</sub>&#x2014;maximal swimming velocity; v<sub>min</sub>&#x2014;minimal swimming velocity; t<sub>trial15</sub>&#x2014;trial time at 15&#xa0;m. The variables describing the velocity profile tv<sub>to max</sub>&#x2014;time to reach v<sub>max</sub>; tv<sub>at max</sub>&#x2014;time at v<sub>max</sub>; D<sub>to</sub> v<sub>max</sub>&#x2014;distance covered when v<sub>max</sub> was reached; D<sub>at</sub> v<sub>max</sub>&#x2014;distance covered while keeping v<sub>max</sub>; FI&#x2014;fatigue index. M&#x2014;mean, SD&#x2014;standard deviation, CI95%&#x2014;95% confidence interval, CV&#x2014;coefficient of variation, ICC&#x2014;intraclass correlation coefficient, SEM&#x2014;standard error of the mean, MDC&#x2014;minimal detectable change.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>For the parameters plotting the individual velocity profile, CV showed low variance for v<sub>max</sub>, v<sub>min</sub> and t<sub>trial15</sub> (CV&#x3c;5%). ICC<sub>2,1</sub> for v<sub>max</sub>, v<sub>min</sub> and trial t<sub>trial15,</sub> demonstrated respectively good (ICC<sub>2,1</sub>: 0.88) very good (ICC<sub>2,1</sub>: 0.95), and excellent (ICC<sub>2,1</sub>: 0.98) rate of relative reliability. The absolute reliability indicators, i.e., SEM and MDC were higher for v<sub>max</sub> (SEM: 0.07&#xa0;m&#x00b7;s<sup>-1</sup>; MDC: 0.20&#xa0;m&#x00b7;s<sup>-1</sup>) than v<sub>min</sub> (SEM: 0.05&#xa0;m&#x00b7;s<sup>-1</sup>; MDC: 0.14&#xa0;m&#x00b7;s<sup>-1</sup>). However, in the t<sub>trial15</sub> SEM was 0.35&#xa0;s, while MDC 0.97&#xa0;s.</p>
<p>The variables describing the velocity profile (<xref ref-type="table" rid="T1">Table 1</xref>) showed: high variance of CV for tv<sub>to max</sub>, tv<sub>at max</sub>, D<sub>to</sub> v<sub>max</sub> and D<sub>at</sub> v<sub>max</sub>. ICC<sub>2,1</sub> was moderate for D<sub>to</sub> v<sub>max</sub> (ICC<sub>2,1</sub>: 0.50) and weak for tv<sub>to max</sub>, tv<sub>at max</sub>, and D<sub>at</sub> v<sub>max</sub>. Results concerning the absolute reliability indicators showed that tv<sub>at max</sub> (SEM: 1.72&#xa0;s; MDC: 4.76&#xa0;s) was higher than tv<sub>to max</sub> (SEM: 0.73&#xa0;s; MDC: 2.01&#xa0;s). D<sub>at</sub> v<sub>max</sub> (SEM: 1.76&#xa0;m; MDC: 4.87&#xa0;m) was higher than D<sub>to</sub> v<sub>max</sub> (SEM: 0.76&#xa0;m; MDC: 2.12&#xa0;m). The relative and absolute reliability indicators for fatigue index (FI) showed high variance (CV&#x3e;5%), low rate of relative reliability (ICC: 0.48), and SEM and MDC indicators for FI were 2.73% and 7.56%, respectively.</p>
<p>Bland-Altman index revealed an acceptable agreement (LoA &#x2264;5%) with no significant differences between the two measurements (trial &#x23;1 and &#x23;2) in the semi-tethered swimming test for vmax (<italic>p</italic> &#x3d; 0.77), vmin (<italic>p</italic> &#x3d; 0.81), and t<sub>trial15</sub> (<italic>p</italic> &#x3d; 0.22) (<xref ref-type="fig" rid="F5">Figure 5</xref>).</p>
</sec>
<sec sec-type="discussion" id="s4">
<title>Discussion</title>
<p>In this study, the reliability of a front crawl sprint performance test based on the estimation of the individual instantaneous swimming velocity profiles in semi-tethered swimming was assessed. Among the analyzed variables, v<sub>max</sub>, v<sub>min</sub>, and t<sub>trial15</sub> had reliable outcomes indicating low variability (CV&#x3c;5%) and excellent relative reliability (ICC<sub>2,1</sub> from 0.88 to 0.98) and absolute reliability (SEM from 0.07 to 0.35 and MDC from 0.14 to 0.97). Also, the Bland-Altman analysis showed an acceptable agreement (LoA &#x2264;5%) with no significant differences between trial &#x23;1 and &#x23;2 in the test with semi-tethered swimming for v<sub>max</sub> (<italic>p</italic> &#x3d; 0.77), v<sub>min</sub> (<italic>p</italic> &#x3d; 0.81), and t<sub>trial15</sub> (<italic>p</italic> &#x3d; 0.22) (<xref ref-type="fig" rid="F5">Figure 5</xref>). It can be assumed that v<sub>max</sub>, v<sub>min,</sub> and t<sub>trial15</sub> of the velocity profiles qualify them as objective indirect measures of an adolescent swimmer&#x2019;s current potential to perform maximal anaerobic effort. This is partly consistent with <xref ref-type="bibr" rid="B64">Soares et al. (2014)</xref> where maximal swimming velocity (v<sub>max</sub>) is considered an indirect anaerobic performance metrics over short distances (50&#xa0;m). Furthermore, <xref ref-type="bibr" rid="B63">Smolka and Ochmann (2013)</xref> reported that v<sub>max</sub> and v<sub>min</sub> were determinants of the sprint time in 100&#xa0;m swimming (r &#x3d; &#x2212;0.90, r &#x3d; &#x2212;0.92, respectively).</p>
<p>When interpreting these results, attention should be made on how to obtain the v<sub>max</sub> and improve the v<sub>min</sub>. A reflection of these adaptations is the maintenance of the fatigue index (FI) level or its reduction, which may increase swimming performance at sprint distances. In addition, the variables describing the velocity profile, tv<sub>to max</sub>, tv<sub>at max</sub>, D<sub>to</sub> v<sub>max</sub>, D<sub>at</sub> v<sub>max</sub>, and also FI were characterized by high variability (CV&#x3e;5%) and slightly worse reliability in the relative dimensions (ICC from 0.01 to 0.50) and absolute SEM (0.73&#x2013;2.73), and MDC (2.01&#x2013;7.56). The high variability and low reliability in the following variables (tv<sub>to max</sub>, tv<sub>at max</sub>, D<sub>to</sub> v<sub>max</sub>, D<sub>at</sub> v<sub>max</sub>, FI) could be caused by starting the velocity measurement at a point located 3&#xa0;m from the pool wall, where the study participants obtained different swimming velocities.</p>
<p>In the results from <xref ref-type="bibr" rid="B19">Demarie et al. (2019)</xref>, strong correlations were found between the average power obtained in WAnT on a cycle ergometer and the average velocity obtained in the swimming test with IMU sensors for 75&#xa0;m freestyle in a short (r &#x3d; 0.809) and long course pool (r &#x3d; 0.700). Additionally, the best times achieved by swimmers in the 50&#xa0;m and 100&#xa0;m freestyle races strongly correlated with the average swimming velocity obtained in the 75&#xa0;m test (r &#x3d; 0.659&#x2013;0.952) and the average power in WAnT (r &#x3d; 0.736&#x2013;0.855) (<xref ref-type="bibr" rid="B19">Demarie et al., 2019</xref>). However, <xref ref-type="bibr" rid="B22">Dotan (2019)</xref> referred to the results of <xref ref-type="bibr" rid="B47">McKie et al. (2018)</xref> and suggested that the confrontation of the results of anaerobic tests carried out in a specific environment and under laboratory conditions (WAnT) is inappropriate and methodologically incorrect from the point of view of movement modality. Therefore, there are premises to believe that the semi-tethered swimming test enables keeping the natural water conditions, a similar muscular activity (<xref ref-type="bibr" rid="B10">Bollens et al., 1988</xref>), swimming stroke, and physiological responses to free swimming (<xref ref-type="bibr" rid="B79">Morou&#xe7;o et al., 2014</xref>; <xref ref-type="bibr" rid="B59">Ruiz-Navarro et al., 2020</xref>).</p>
<p>The adolescent swimmers in the current study performed their tests within the time characteristic of anaerobic tests (12.67 &#xb1; 2.27&#xa0;s for swimming 15&#xa0;m) (<xref ref-type="table" rid="T1">Table 1</xref>). Similarly, short tests lasting 10&#x2013;15&#xa0;s were used in the studies by <xref ref-type="bibr" rid="B75">Yeater et al. (1981)</xref> and <xref ref-type="bibr" rid="B13">Costill et al. (1986)</xref>, with fully tethered swimming to assess the individual maximal power values representative of the ATP-PCr catabolism rate. Thus, a shorter test distance to assess the anaerobic potential opens the possibility of obtaining a higher maximal velocity (<xref ref-type="bibr" rid="B39">Inbar et al., 1976</xref>; <xref ref-type="bibr" rid="B76">Zajac et al., 1999</xref>). In this context, considering the psychological factors of effort maximization (<xref ref-type="bibr" rid="B31">Hatfiel and Landers, 1987</xref>; <xref ref-type="bibr" rid="B76">Zajac et al., 1999</xref>), the current argument seems to confirm the alternative application of the semi-tethered swimming test in water instead of using the Wingate test.</p>
<p>It seems that the basis for the lower t<sub>trial15</sub> and v<sub>max</sub> values (<xref ref-type="table" rid="T1">Table 1</xref>) is the shorter test duration time presented in the individual velocity profiles (polynomial curve) (<xref ref-type="fig" rid="F2">Figures 2</xref>, <xref ref-type="fig" rid="F3">3</xref>). The discussed difference may also be due to too short of a rest interval between the first and second trial. The duration was adopted based on research conducted on adult swimmers (<xref ref-type="bibr" rid="B28">Hancock et al., 2015</xref>), which draws attention to the potentially greater susceptibility of adolescent swimmers to fatigue reactions (<xref ref-type="bibr" rid="B3">Bailey et al., 1995</xref>). However, it is presumed that 70% of the ATP and PCr are restored within 30&#xa0;s, 90% of the rest value reaches within 2&#xa0;min, and 100% within 3&#x2013;5&#xa0;min after an &#x201c;all-out&#x201d; effort (<xref ref-type="bibr" rid="B37">Hultman et al., 1967</xref>). Based on this suggestion, the low values of t<sub>trial15</sub> and v<sub>max</sub> (<xref ref-type="table" rid="T1">Table 1</xref>) obtained by the tested swimmers may result from the fact that due to their age and inexperience, they build their exercise capacity along with the elimination of deficits in the quality of their swimming technique (<xref ref-type="bibr" rid="B44">L&#xe4;tt et al., 2009</xref>). In general, it should be assumed that the explanation of the problem discussed here requires further research, considering to extend both the water test duration and recovery time between performance trials.</p>
<p>Energetic contribution to a sprint-swim performance over 22&#xa0;s in adults has been estimated, i.e.,: 38% from ATP-PCr system, 48% from glycolytic system, and 4% from the aerobic system (<xref ref-type="bibr" rid="B57">Rodr&#xed;guez and Mader, 2021</xref>), with a greater contribution of the first two systems. As performance times decrease to 25&#xa0;m, there is a larger aerobic contribution for longer performance times (slower swimmers, i.e., adolescents). Moreover, during the prepubertal stage, the anaerobic contribution to short-distance swims is likely to be lower compared to pubertal individuals (<xref ref-type="bibr" rid="B48">Mezzaroba and Machado, 2014</xref>). Hence, field-based anaerobic tests should be complemented with additional laboratory-based measurements, e.g., maximal accumulated oxygen deficit (<xref ref-type="bibr" rid="B18">Dekerle, 2021</xref>). In the past, anaerobic potential to produce high-power output was measured during maximal 30&#xa0;s cycling and arm cranking tests among 13-year-old boys and girls (<xref ref-type="bibr" rid="B34">Hawley et al., 1992</xref>) and adolescent swimmers aged 16 (<xref ref-type="bibr" rid="B67">Strzala and Tyka, 2009</xref>). A correlation of around r &#x3d; 0.650 between high-power output and swimming performance &#x3c;100&#xa0;m distances suggests sprint performance test (to 50&#xa0;m) may be appropriate to evaluate the anaerobic potential of adolescent swimmers. The field-based semi-tethered test used in this study enables assessment of the current state of performing maximal anaerobic effort in sprint swimming through individual velocity profiles. This approach allows for monitoring the adaptive changes during the training process at any given time and is critical in the context of improving training routines. This leads to the belief that the results obtained from the created velocity profiles during semi-tethered swimming may be the basis for modifying the quantitative and qualitative components of the training load to increase the exercise capacity of adolescent swimmers in sprint races. The practical value of this study indicates that using the field-based semi-tethered test, a coach can compare two swimmers with the same trial time and different trajectories of velocity profiles. Furthermore, the simplicity of such tests encourages their use in swimming profiling.</p>
<sec id="s4-1">
<title>Limitations of the study</title>
<p>The current study has some potential limitations. The first potential limitation refers to the significant relationships between the average swimming velocity and the average power obtained in WAnT on a cycle ergometer (<xref ref-type="bibr" rid="B19">Demarie et al., 2019</xref>). In this context, the concept that the classic WAnT assesses the ability to perform anaerobic performance while cycling is inadequate for assessment in specific conditions of water exercise. This was also adopted by <xref ref-type="bibr" rid="B21">Dotan (2006)</xref>. A second potential limitation is the small number of study participants (eight), which may limit the decisive dimension of the formulated conclusions. Nevertheless, the observed results create conditions for extending research toward a larger group of swimmers. A small research sample (twelve swimmers) was used by <xref ref-type="bibr" rid="B63">Smolka and Ochmann (2013)</xref>. Thirdly, it is worth noting that girls present a maturation process earlier than boys (being in the same age range), and their different metabolic profiles may affect velocity abilities. The use of data normalization allows comparisons among different swimmers on the same scale (<xref ref-type="fig" rid="F4">Figure 4</xref>). A small sample without division by gender was used by <xref ref-type="bibr" rid="B78">Zamparo et al. (2000)</xref> (nine teenage swimmers). Moreover, the individual exercise capacity of swimmers in the scope of their preferred swimming techniques, and distance should be taken into consideration. Fourthly, the 1&#xa0;kg load was the same for every participant but represented a different relative load for each of them. Considering the effect of different loads on semi-tethered swimming and its relationship with the power curves, 1&#xa0;kg may not have been enough to generate maximum power. <xref ref-type="bibr" rid="B15">Cuenca-Fern&#xe1;ndez et al. (2020)</xref>, found that among 18&#xa0;years old competitive male swimmers on semi-tethered swimming, the load eliciting the peak power (71.38&#xa0;W) was 6.00&#xa0;kg which was 45% maximal load and corresponded to a swimming velocity of 0.92&#xa0;m&#x00b7;s<sup>-1</sup>. In the present study, it was not the PPO, but maximal swimming velocity was one of the indicators of a potential to perform the maximal anaerobic effort (<xref ref-type="bibr" rid="B23">Driss and Vandewalle, 2013</xref>). Referring to <xref ref-type="bibr" rid="B15">Cuenca-Fern&#xe1;ndez et al. (2020)</xref>, the lowest external load (2.3&#xa0;kg) gave the possibility to reach a maximal swimming velocity (1.97&#xa0;m&#x00b7;s<sup>-1</sup>). Another potential limitation is how the beginning of the test was conducted. Perhaps pushing off the wall would be more representative of the competition condition because the swimmers after the start and turn have acceleration above zero. Furthermore, it should be also taken into account that the resistance offered by the added mass may be higher underwater given the quadratic relationship of the hydrodynamic drag (<xref ref-type="bibr" rid="B46">Marinho et al., 2009</xref>). Hence, the external work was higher because of the increases in the load and the drag caused by the load when accelerating (<xref ref-type="bibr" rid="B20">Dominguez-Castells et al., 2013</xref>). A relatively long trial time would also be desirable. Finally, the mean limitation of the 1080 Sprint was examined by <xref ref-type="bibr" rid="B7">Bergkvist et al. (2015)</xref> under a dry-land condition. However, the swimming environment could produce specific issues, such as swimmers potentially kicking the cable or the waves affecting the movements of the cable, which would affect the velocity data. Hence, there is applying on-land accuracy data in-water conditions. Furthermore, to minimize errors, the device was placed on top of the starting block so that the only part of the cable attaching to the swimmer&#x2019;s body was the end of it.</p>
<p>Future research should provide more information about these potential limitations of the current research. Nevertheless, this study contributes to the level of knowledge available in the literature about adolescent swimmers. This study can be an instruction manual for those who want to study the topic with a greater number of subjects, in other populations, or in different conditions.</p>
</sec>
</sec>
<sec sec-type="conclusion" id="s5">
<title>Conclusion</title>
<p>To conclude, the changes in instantaneous swimming velocity in time/distance during front crawl semi-tethered sprint test with maximal intensity can be analyzed as individual mathematical models of velocity profiles in adolescent swimmers. The findings revealed that the v<sub>max</sub>, v<sub>min</sub> and t<sub>trial15</sub> estimated from these profiles were considered reliable and can be assigned specificity characteristics. Consequently, the applied procedure allows objective and individualized quantification of the selected parameters to indirectly evaluate the current level of adolescent swimmers&#x2019; potential to sustain maximal effort in the anaerobic condition. The observation of the swimming velocity profiles including reliable parameters allows for monitoring the adaptive changes in the current state of performing maximal anaerobic effort matters during the training process. As a result of a field-based semi-tethered test, the coach may identify the capacity for improvement and provide guidelines to athletes for the preparation of specific training sessions for adolescent swimmers. The results obtained from the created velocity profiles may occur point of reference for modifying the quantitative and qualitative components of the training load in order to enhance the exercise capacity of adolescent swimmers in sprint performance. Future studies should further explore these aspects to provide coaches and athletes with more detailed and valuable information to better inform training decisions.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The datasets presented in this article are not readily available because of concerns over the risk of inadvertent disclosure of young athletes&#x2019; personal health information and performance information. Requests to access the datasets should be directed to <email>stefan.szczepan@awf.wroc.pl</email>.</p>
</sec>
<sec id="s7">
<title>Ethics statement</title>
<p>The studies involving humans were approved by the Ethical Committee of Norwegian School of Sport Sciences (reference number 47). The studies were conducted in accordance with the local legislation and institutional requirements. Written informed consent for participation in this study was provided by the participants&#x2019; legal guardians/next of kin. Written informed consent was obtained from the individual(s), and minor(s)&#x2019; legal guardian/next of kin, for the publication of any potentially identifiable images or data included in this article.</p>
</sec>
<sec id="s8">
<title>Author contributions</title>
<p>SS: Conceptualization, Data curation, Formal Analysis, Funding acquisition, Investigation, Methodology, Project administration, Resources, Software, Supervision, Validation, Visualization, Writing&#x2013;original draft, Writing&#x2013;review and editing. ZW: Conceptualization, Data curation, Formal Analysis, Methodology, Software, Validation, Visualization, Writing&#x2013;original draft. SK: Conceptualization, Formal Analysis, Methodology, Software, Validation, Writing&#x2013;review and editing. KM: Conceptualization, Data curation, Formal Analysis, Methodology, Software, Validation, Visualization, Writing&#x2013;original draft, Writing&#x2013;review and editing. TG: Formal Analysis, Investigation, Supervision, Writing&#x2013;review and editing. BO: Data curation, Investigation, Resources, Supervision, Writing&#x2013;review and editing. MR: Formal Analysis, Methodology, Supervision, Validation, Visualization, Writing&#x2013;review and editing.</p>
</sec>
<sec id="s9">
<title>Funding</title>
<p>The author(s) declare that no financial support was received for the research, authorship, and/or publication of this article.</p>
</sec>
<ack>
<p>The first author wishes to thank all research group members for their patience, time, and effort. The authors would like to thank Professor Faye J. Perkins from Health and Human Performance, University of Wisconsin-River Falls, United States for her language assistance.</p>
</ack>
<sec sec-type="COI-statement" id="s10">
<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 sec-type="disclaimer" id="s11">
<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>
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