<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article  PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article"><front><journal-meta><journal-id journal-id-type="publisher-id">OJMS</journal-id><journal-title-group><journal-title>Open Journal of Marine Science</journal-title></journal-title-group><issn pub-type="epub">2161-7384</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/ojms.2017.73024</article-id><article-id pub-id-type="publisher-id">OJMS-77543</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Earth&amp;Environmental Sciences</subject></subj-group></article-categories><title-group><article-title>
 
 
  Growth, Mortality Parameters and Exploitation Rate of West African Ilisha (&lt;i&gt;Ilisha africana&lt;/i&gt; Bloch, 1795, Clupeidae) off Benin Coastal Waters (West Africa): Implications for Management and Conservation
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Sossoukpe</surname><given-names>Edmond</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Azonningbo</surname><given-names>S. H. Wilfrid</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Fiogbe</surname><given-names>Emile Didier</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib></contrib-group><aff id="aff1"><addr-line>Laboratoire de Recherche sur les Zones Humides, Département de Zoologie, Faculté des Sciences et Techniques, Université d’Abomey-Calavi, Abomey Calavi, Benin</addr-line></aff><author-notes><corresp id="cor1">* E-mail:<email>esossoukpe@yahoo.fr(SE)</email>;</corresp></author-notes><pub-date pub-type="epub"><day>10</day><month>07</month><year>2017</year></pub-date><volume>07</volume><issue>03</issue><fpage>327</fpage><lpage>342</lpage><history><date date-type="received"><day>September</day>	<month>7,</month>	<year>2016</year></date><date date-type="rev-recd"><day>Accepted:</day>	<month>July</month>	<year>8,</year>	</date><date date-type="accepted"><day>July</day>	<month>11,</month>	<year>2017</year></date></history><permissions><copyright-statement>&#169; Copyright  2014 by authors and Scientific Research Publishing Inc. </copyright-statement><copyright-year>2014</copyright-year><license><license-p>This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/</license-p></license></permissions><abstract><p>
 
 
  West African Ilisha was the third most abundant species of Clupeidae off Benin coastal waters after 
  <em>Sardinella spp</em> and 
  <em>Ethmalosa frimbriata</em>. The fishing effort of these fisheries increased with a dominance of small-sized specimens in the catches. This paper allowed updating some demographic parameters and the exploitation rate of 
  <em>Ilisha africana</em> collected between July 2013 and June 2014 from the coastal waters of Benin for management and conservation of these fisheries. The growth pattern showed a negative allometric growth with an abundance of small-sized specimens. The von Bertalanffy growth function (VBGF) estimations were: 
  <em>L</em>
  <sub>∞</sub>= 21.31 cm standard length; 
  <em>K</em> = 1.20 year
  <sup>-1</sup>; and 
  <em>t</em>
  <sub>0</sub> = -0.138 year. The total mortality rate (
  <em>Z</em>), natural mortality rate (
  <em>M</em>) and fishing mortality rate (
  <em>F</em>) were 4.040 year
  <sup>-1</sup>, 2.27 year
  <sup>-1</sup> and 1.77 year
  <sup>-1</sup> respectively. The 
  <em>Z</em>
  <em>/</em>
  <em>K</em> ratio was 3.667 and the exploitation rate (
  <em>E</em> = 
  <em>F/Z</em>) was 0.44 showing an under exploitation of this species. The estimated potential longevity (
  <em>t</em>
  <sub>max</sub>) was 2.5 years. In addition, the fisheries management should be devolved from the state to the local level to compel fishermen to take greater responsibility for the sustainability and conservation of the fisheries such as size-limit regulation by gradually increasing fishing gears mesh size.
 
</p></abstract><kwd-group><kwd>&lt;i&gt;Ilisha africana&lt;/i&gt;</kwd><kwd> Growth Parameters</kwd><kwd> Mortality</kwd><kwd> Exploitation Rate</kwd><kwd> Benin</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>The direct consequence of maritime congestion caused by the presence of an important number of local and foreign fleets remains overfishing, one of the big threats on marine fauna and flora in West-Africa (Diouf, 1996 [<xref ref-type="bibr" rid="scirp.77543-ref1">1</xref>] ). The decrease in capture generally noticed at the same time led to environmental degradation, and overexploitation has aroused the dynamic of studying the population (Villanueva, 2004 [<xref ref-type="bibr" rid="scirp.77543-ref2">2</xref>] ). According to FAO estimates approximately 80% of the global fish stock are overexploited (FAO, 2006 [<xref ref-type="bibr" rid="scirp.77543-ref3">3</xref>] ). The impact of over fishing is alarming in West Africa where countries are already very poor and depend on water resources for economic growth and food (FAO, 2006 [<xref ref-type="bibr" rid="scirp.77543-ref3">3</xref>] ). 75% of artisanal marine fishing catches in Benin consisted of pelagic species which included 60% of the smallest coastal Clupeidae (Gbaguidi, 2000 [<xref ref-type="bibr" rid="scirp.77543-ref4">4</xref>] ). These species are totally free and independent, of the substratum nature (Laloe and Samba, 1991 [<xref ref-type="bibr" rid="scirp.77543-ref5">5</xref>] ; Collignon, 1991 [<xref ref-type="bibr" rid="scirp.77543-ref6">6</xref>] ). The influence of the environment on their biology and their fluctuating availability and abundance had been highlighted in many fish pools around the world (Belv&#232;ze, 1984 [<xref ref-type="bibr" rid="scirp.77543-ref7">7</xref>] ; Cury and Fontana, 1988 [<xref ref-type="bibr" rid="scirp.77543-ref8">8</xref>] ; Freon, 1988 [<xref ref-type="bibr" rid="scirp.77543-ref9">9</xref>] ; Pauly, 1997 [<xref ref-type="bibr" rid="scirp.77543-ref10">10</xref>] ).</p><p>The small pelagic species of commercial importance for artisanal marine fishing in Benin are Sardinella aurita, Sardinella maderensis and Ilisha africana (FAO, 1991 [<xref ref-type="bibr" rid="scirp.77543-ref11">11</xref>] ). They contribute between 30% - 47% of the total marine catch in Benin. Of this stock, Ilisha africana contributes between 27% and 82% (Senouvo and Gbaguidi [<xref ref-type="bibr" rid="scirp.77543-ref12">12</xref>] ). This species is found along the West African coast from Northern Senegal to Angola. It is a typical representative of a group of small predatory Clupeids with a laterally flattened body, relatively small tail and a large up-turned mouth (Valiky and Cham, 2002 [<xref ref-type="bibr" rid="scirp.77543-ref13">13</xref>] ).</p><p>Due to the high demand for these species, it is necessary to evaluate their population parameters to ensure proper management of this fishery.</p><p>Studies on the fish community are useful for a durable management of fishing activities (Aliko et al., 2010 [<xref ref-type="bibr" rid="scirp.77543-ref14">14</xref>] ). Population parameters such as asymptotic length (L<sub>∞</sub>) and growth coefficient (k), mortality rates and exploitation level were studied with the major objective of rational management and resource con- servation (Tah et al., 2010 [<xref ref-type="bibr" rid="scirp.77543-ref15">15</xref>] ; Nasser, 1999 [<xref ref-type="bibr" rid="scirp.77543-ref16">16</xref>] ).</p><p>Growth information provides a lot of tools that are used in fishery management. The data on the age of a fish can provide tools in fishery management such as the general background information needed for management decisions. It aids in the diagnosis of management needs such as the recognition of overcrowding and stunting (Carlendar, 1955 [<xref ref-type="bibr" rid="scirp.77543-ref17">17</xref>] ; Deekae and Abowei, 2010 [<xref ref-type="bibr" rid="scirp.77543-ref18">18</xref>] ).</p><p>Mortality can be defined as the death of an organism. It is a very important aspect of population biology since it provides information about changes in the population. Mortality can be caused by fishing activity (fishing mortality) or by natural action (natural mortality) (Abowei and Hart, 2009 [<xref ref-type="bibr" rid="scirp.77543-ref19">19</xref>] ; Abowei et al., 2010 [<xref ref-type="bibr" rid="scirp.77543-ref20">20</xref>] ). According to Marshall, 1993 [<xref ref-type="bibr" rid="scirp.77543-ref21">21</xref>] , mortality rates are of prime importance to fishery scientists in expressing the dynamics of fish population.</p><p>The present work is the first attempt to investigate growth rates, mortality coefficients and the exploitation rate of this species in the coastal waters of Benin to ensure the proper management of this fishery.</p></sec><sec id="s2"><title>2. Materials and Methods</title><sec id="s2_1"><title>2.1. Study Area, Fish Sampling</title><p>Specimens of I. africana were sampled from catches off Benin’s coastal waters (West Africa) landing at the artisanal fishing port of Cotonou (<xref ref-type="fig" rid="fig1">Figure 1</xref>). 1,356 specimens, including 683 males, 613 females and 60 unsexed were randomly sampled from July 2013 to June 2014. Each week at least 25 specimens were sampled from commercial catches. The total length (TL) of the fish was measured at nearly 0.1 cm from the tip of the snout (mouth closed) to the extended tip of the caudal fin. Standard length (SL) was measured from the tip of the snout (mouth closed) to the base or the joint of the caudal fin. The fork length of the fish (LF) was also measured. The body weight (W) and the eviscerate weight of individual fishes were measured at nearly 0.1 g after removing adhered water and other remains from the body surface. The sex was determined by macroscopic examination of gonads (King, 1995). The mean lengths and weights of the classes were used for data analysis using FiSAT (Gayanilo and Pauly, 1997 [<xref ref-type="bibr" rid="scirp.77543-ref22">22</xref>] ).</p></sec><sec id="s2_2"><title>2.2. Length-Frequency Distribution Structure and Sex Ratio</title><p>The analysis of the length-frequency distribution was used to determine the size modal distribution. Histograms were obtained from the distribution.</p><p>The sex ratio calculated as <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-1470316x2.png" xlink:type="simple"/></inline-formula> (Sossoukpe et</p><p>al., 2013 [<xref ref-type="bibr" rid="scirp.77543-ref23">23</xref>] ) provides a useful tool to assess the biological characteristics of the fish.</p></sec><sec id="s2_3"><title>2.3. Length-Weight Relationship</title><p>The length-weight relationships were expressed as: W = aL<sup>b</sup> (Ricker, 1975 [<xref ref-type="bibr" rid="scirp.77543-ref24">24</xref>] ), W and L were fish body weight and total length respectively, “a” and “b” were the intercept and slope of the regression curve of the length and weight of the fish, respectively. Differences between sexes were tested to consider the pooled sexes. The correlation (r<sup>2</sup>) between length and weight was computed from the</p><fig-group id="fig1"><label><xref ref-type="fig" rid="fig1">Figure 1</xref></label><caption><title> Evolution of the room-temperature photoluminescence spectrum versus the temperature of the GaP cell.</title></caption><fig id ="fig1_1"><label>(b)</label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-1470316x3.png"/></fig><fig id ="fig1_2"><label>(c)</label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-1470316x4.png"/></fig><fig id ="fig1_3"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-1470316x5.png"/></fig></fig-group><p><xref ref-type="fig" rid="fig1">Figure 1</xref>. Location of the sampling site. (a) Benin, acountry in West Africa; (b) Benin; (c) Artisanal Fishing Port of Cotonou.</p><p>regression curve. The value of b is a good indicator of the type of growth: the growth is isometric if b = 3 (Wootton, 1990 [<xref ref-type="bibr" rid="scirp.77543-ref25">25</xref>] ); and the growth is allometric if b ≠ 3 (negative allometric if b &lt; 3 and positive allometric if b &gt; 3) (Ricker, 1975 [<xref ref-type="bibr" rid="scirp.77543-ref24">24</xref>] ). The paired sample t-test of Student was used to compare “b” to 3, and Pearson correlation was used to test the significance of all regressions. To appreciate the fish’s well-being, “b” is compared to 3. When “b” is not significantly different from 3, the species shows a good adaptation to the dominant ecologic condition of the habitat. If “b” is significantly different from 3, there is less adaptation (Baijot et al., 1994 [<xref ref-type="bibr" rid="scirp.77543-ref26">26</xref>] ).</p></sec><sec id="s2_4"><title>2.4. Growth and Mortality Parameters</title><p>The asymptotic length (L<sub>∞</sub>) is defined as the length that the species would reach if it lived indefinitely and the growth coefficient (K) is a measure of the rate at which the maximum size is attained (King, 1995 [<xref ref-type="bibr" rid="scirp.77543-ref27">27</xref>] ; von Bertalanffy [<xref ref-type="bibr" rid="scirp.77543-ref28">28</xref>] ). Monthly population length-frequency distribution data as input in FiSAT software (Gayanilo and Pauly, 1997 [<xref ref-type="bibr" rid="scirp.77543-ref22">22</xref>] ) was used to determine L<sub>∞</sub> and K (We the rall, 1987 [<xref ref-type="bibr" rid="scirp.77543-ref29">29</xref>] ; Silvestre and Garces, 2004 [<xref ref-type="bibr" rid="scirp.77543-ref30">30</xref>] ; Pauly, 1987 [<xref ref-type="bibr" rid="scirp.77543-ref31">31</xref>] ). The theoretical age at length zero (t<sub>0</sub>) was estimated using Pauly’s empirical equation (Pauly, 1979 [<xref ref-type="bibr" rid="scirp.77543-ref32">32</xref>] ): Log<sub>10</sub>(−t<sub>0</sub>) = −0.392 − 0.275 Log<sub>10</sub>L<sub>∞</sub> − 1.038Log<sub>10</sub>K.</p><p>To compare the growth of Ilisha africana from the study area with those from other studies, the growth performance index (φ') was calculated. The estimates of L<sub>∞</sub> and K were used to compute the φ' (in terms of length) of the species (Munro and Pauly, 1983 [<xref ref-type="bibr" rid="scirp.77543-ref33">33</xref>] ; Pauly and Munro, 1984 [<xref ref-type="bibr" rid="scirp.77543-ref34">34</xref>] ): φ' = Log<sub>10</sub>K + 2Log<sub>10</sub>L<sub>∞</sub>.</p><p>The annual instantaneous rate of total mortality, Z, was estimated from the linearized length-converted catch curves (Pauly and David, 1981 [<xref ref-type="bibr" rid="scirp.77543-ref35">35</xref>] ; Sparre and Venema, 1992 [<xref ref-type="bibr" rid="scirp.77543-ref36">36</xref>] ). The instantaneous natural mortality rate, M, was com- puted as: Log<sub>10</sub>M = −0.0066 − 0.279 Log<sub>10</sub>L<sub>∞</sub> + 0.6543Log<sub>10</sub>K + 0.463Log<sub>10</sub>T (Pauly, 1980 [<xref ref-type="bibr" rid="scirp.77543-ref37">37</xref>] ). Where T is the annual average of habitat temperature. T = 29.9˚C is considered in this study.</p><p>The instantaneous fishing mortality rate, F, was computed as Z − M, and the exploitation rate (E) was expressed as E = F/Z (Pauly, 1980 [<xref ref-type="bibr" rid="scirp.77543-ref37">37</xref>] ).</p></sec><sec id="s2_5"><title>2.5. Longevity (t<sub>max</sub>)</title><p>The value of the mean coefficient of growth has been used to generate longevity as shown by the formula t<sub>max</sub> = 3/K (Anato, 1999 [<xref ref-type="bibr" rid="scirp.77543-ref38">38</xref>] ).</p></sec><sec id="s2_6"><title>2.6. Probability of Capture and Length at First Capture (L<sub>C</sub> or L<sub>50</sub>)</title><p>The probability of capture provides a clear indication of the estimated real size of fish in the fishing area that are vulnerable to a specific gear. This parameter is an important tool for fishery managers who, by regulating the minimum mesh size of a fishing fleet, can mostly determine what should be the minimum size of the target species of a fishery. The probability of capture was computed from the length-converted catch curve. A selectivity curve was generated using linear regression fitted which was used to estimate the final value of L<sub>25</sub>, L<sub>50</sub> and L<sub>75</sub> (i.e., lengths at which 25%, 50% and 75% of the fish will be vulnerable to the fishing gear, respectively). Estimates of at-first-capture length (L<sub>50</sub>) were derived from the probabilities of capture generated from the catch curve analysis output by FiSAT.</p></sec><sec id="s2_7"><title>2.7. Exploitation Rate</title><p>The exploitation rate (E) was generated by FiSAT. The exploitation rate indicates whether the stock is lightly (E &lt; 0.5) or strongly (E &gt; 0.5) exploited, based on the assumption that the fish are optimally exploited when F = M or E = 0.5 (Guland, 1983 [<xref ref-type="bibr" rid="scirp.77543-ref39">39</xref>] ).</p></sec></sec><sec id="s3"><title>3. Results</title><sec id="s3_1"><title>3.1. Length-Frequency Distribution Structure and Sex Ratio</title><p>A total of 1,296 sampled specimens were sexed comprising 683 males and 613 females (<xref ref-type="table" rid="table1">Table 1</xref>). The population size distribution structure of I. africana (Figures 2-4) was unimodal with a modal class at 11.0 - 13.0 cm. A pooled sample shows that males were slightly more numerous than females.</p><table-wrap id="table1" ><label><xref ref-type="table" rid="table1">Table 1</xref></label><caption><title> Mean standard length (SL), mean total weight (W), number of specimens (N) and Sex ratio (S − R) of I. africana off Benin coastal waters</title></caption><table><tbody><thead><tr><th align="center" valign="middle" ></th><th align="center" valign="middle" >N (S − R)</th><th align="center" valign="middle" >Mean SL (cm) (range)</th><th align="center" valign="middle" >Mean W (g) (range)</th></tr></thead><tr><td align="center" valign="middle" >Males</td><td align="center" valign="middle" >683</td><td align="center" valign="middle" >12.68 &#177; 0.05 (9.4.5 - 15.0)</td><td align="center" valign="middle" >17.33 &#177; 0.01 (8.7 - 27.1)</td></tr><tr><td align="center" valign="middle" >Females</td><td align="center" valign="middle" >613</td><td align="center" valign="middle" >12.85 &#177; 0.03 (10.5 - 16.0)</td><td align="center" valign="middle" >17.92 &#177; 0.02 (9.2 - 33.5)</td></tr><tr><td align="center" valign="middle" >Males + Females</td><td align="center" valign="middle" >1,296 (111.41%)</td><td align="center" valign="middle" >12.77 &#177; 0.01 (11.5 - 16.0)</td><td align="center" valign="middle" >17.63 &#177; 0.01 (8.7 - 33.5)</td></tr></tbody></table></table-wrap><fig id="fig2"  position="float"><label><xref ref-type="fig" rid="fig2">Figure 2</xref></label><caption><title> Population structure of male I. africana</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-1470316x6.png"/></fig><fig id="fig3"  position="float"><label><xref ref-type="fig" rid="fig3">Figure 3</xref></label><caption><title> Population structure of female I. africana</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-1470316x7.png"/></fig><fig id="fig4"  position="float"><label><xref ref-type="fig" rid="fig4">Figure 4</xref></label><caption><title> Population structure of pooled samples of I. africana</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-1470316x8.png"/></fig></sec><sec id="s3_2"><title>3.2. Length-Weight Relationship (L − W)</title><p>The results of the L − W relationship of I. africana by sex are consigned in <xref ref-type="table" rid="table2">Table 2</xref>. The L − W regression in males was not significantly different from that of</p><p>females (p &gt; 0.05). The respective L − W regressions for males, females and pooled samples are presented in Figures 5-7. The value of the Person correlation coefficient is close to 1; that means a positive correlation between the Total Weight (W) of the fish and its Total Length (TL). As well in males (b = 2.355) as in females (b = 2.327), b is significantly different from 3 (p &lt; 0.05). The I. Africana exhibited a negative allometric growth (<xref ref-type="table" rid="table3">Table 3</xref>). It means that the fish grows relatively faster in length than in weight.</p><table-wrap id="table2" ><label><xref ref-type="table" rid="table2">Table 2</xref></label><caption><title> Length-weight relationship parameters of I. africana</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Sex</th><th align="center" valign="middle" >Number</th><th align="center" valign="middle" >TL (cm)</th><th align="center" valign="middle" >W<sub>t</sub> (g)</th><th align="center" valign="middle" >Equation</th><th align="center" valign="middle" >r<sup>2 </sup></th></tr></thead><tr><td align="center" valign="middle" >Males</td><td align="center" valign="middle" >683</td><td align="center" valign="middle" >11.3 - 18.5</td><td align="center" valign="middle" >8.7 - 27.1</td><td align="center" valign="middle" >W<sub>t</sub> = 0.028TL<sup>2.355</sup><sup> </sup></td><td align="center" valign="middle" >0.907</td></tr><tr><td align="center" valign="middle" >Females</td><td align="center" valign="middle" >613</td><td align="center" valign="middle" >11.6 - 20.2</td><td align="center" valign="middle" >9.2 - 33.5</td><td align="center" valign="middle" >W<sub>t</sub> = 0.030TL<sup>2.327</sup><sup> </sup></td><td align="center" valign="middle" >0.886</td></tr><tr><td align="center" valign="middle" >Males + Females</td><td align="center" valign="middle" >1296</td><td align="center" valign="middle" >11.3 - 20.2</td><td align="center" valign="middle" >8.7 - 33.5</td><td align="center" valign="middle" >W<sub>t</sub> = 0.026TL<sup>2.369</sup><sup> </sup></td><td align="center" valign="middle" >0.856</td></tr></tbody></table></table-wrap><fig id="fig5"  position="float"><label><xref ref-type="fig" rid="fig5">Figure 5</xref></label><caption><title> Length-weight relationship of males of I. africana</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-1470316x9.png"/></fig><fig id="fig6"  position="float"><label><xref ref-type="fig" rid="fig6">Figure 6</xref></label><caption><title> Length-weight relationship of females of I. africana</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-1470316x10.png"/></fig></sec><sec id="s3_3"><title>3.3. Von Bertalanffy Growth and Mortality Parameters (L<sub>∞</sub>, K, to and φ')</title><p>The asymptotic length output by FISAT L<sub>∞</sub> (cm), the Growth coefficient K (year<sup>−1</sup>), the Hypothetical age (t<sub>0</sub>) and the Growth performance index φ' of I. africana in the coastal waters of Benin obtained are reported in <xref ref-type="table" rid="table4">Table 4</xref>.</p><p>The Von Bertalanffy growth equation is as follows:</p><fig-group id="fig7"><label><xref ref-type="fig" rid="fig7">Figure 7</xref></label><caption><title> Length-weight relationship of both males and females of I. africana.</title></caption><fig id ="fig7_1"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-1470316x11.png"/></fig><fig id ="fig7_2"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-1470316x12.png"/></fig></fig-group><table-wrap id="table3" ><label><xref ref-type="table" rid="table3">Table 3</xref></label><caption><title> Length-weight relationship of I. africana according to literature and in different areas</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Authors</th><th align="center" valign="middle" >Countries</th><th align="center" valign="middle" >Length-weight relationship</th></tr></thead><tr><td align="center" valign="middle" >Current study</td><td align="center" valign="middle" >Benin</td><td align="center" valign="middle" >W<sub>t</sub> = 0.0684TL<sup>2.369 </sup></td></tr><tr><td align="center" valign="middle" >Fiogbe et al. (2003) [<xref ref-type="bibr" rid="scirp.77543-ref40">40</xref>]</td><td align="center" valign="middle" >Benin</td><td align="center" valign="middle" >W<sub>t</sub> = 0.0057TL<sup>3.6 </sup></td></tr><tr><td align="center" valign="middle" >King (1996) [<xref ref-type="bibr" rid="scirp.77543-ref41">41</xref>]</td><td align="center" valign="middle" >Nigeria</td><td align="center" valign="middle" >W<sub>t</sub> = 0.0078TL<sup>2.99 </sup></td></tr><tr><td align="center" valign="middle" >Anyangwa (1991) [<xref ref-type="bibr" rid="scirp.77543-ref42">42</xref>]</td><td align="center" valign="middle" >Sierra Leone</td><td align="center" valign="middle" >W<sub>t</sub> = 0.0038TL<sup>3.35 </sup></td></tr><tr><td align="center" valign="middle" >Stokholmand Isebor (1993) [<xref ref-type="bibr" rid="scirp.77543-ref43">43</xref>]</td><td align="center" valign="middle" >Benin and Nigeria</td><td align="center" valign="middle" >W<sub>t</sub> = 0.09287TL<sup>2.92 </sup></td></tr><tr><td align="center" valign="middle" >Valiky and Cham (2003) [<xref ref-type="bibr" rid="scirp.77543-ref13">13</xref>]</td><td align="center" valign="middle" >Sierra Leone</td><td align="center" valign="middle" >W<sub>t</sub> = 0.008TL<sup>2.94 </sup></td></tr></tbody></table></table-wrap><table-wrap id="table4" ><label><xref ref-type="table" rid="table4">Table 4</xref></label><caption><title> Estimated growth parameters of Ilisha africana of Benin coastal waters</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Parameters</th><th align="center" valign="middle" >Values</th></tr></thead><tr><td align="center" valign="middle" >Asymptotic length (L<sub>∞</sub>)</td><td align="center" valign="middle" >21.31 cm</td></tr><tr><td align="center" valign="middle" >Growth coefficient(K)</td><td align="center" valign="middle" >1.200 yr<sup>−</sup><sup>1</sup></td></tr><tr><td align="center" valign="middle" >Hypothetical age (t<sub>0</sub>)</td><td align="center" valign="middle" >−0.138 yr</td></tr><tr><td align="center" valign="middle" >Growth performance index φ'</td><td align="center" valign="middle" >2.736</td></tr></tbody></table></table-wrap><p>The estimated values of asymptotic length (TL<sub>∞</sub>) and growth coefficient (K) of the Von Bertalanffy growth equation were 21.31 (cm) and 1.200 (year<sup>−1</sup>) respectively. <xref ref-type="fig" rid="fig4">Figure 4</xref> shows the growth curves generated from ELEFAN I for I. africana. It was assumed in the ELEFAN I analysis that the value of the hypothetical age at length zero (t<sub>0</sub>) was t<sub>0</sub> = −0.138.</p></sec><sec id="s3_4"><title>3.4. Estimation of Mortality Parameters (M, F and Z)</title><p>The length-converted catch curve (<xref ref-type="fig" rid="fig8">Figure 8</xref>) showed that the total mortality Z (for fish ranging from 9.0 to 17.0 cm in standard length) estimated for I. africana was 4.04 per year. The natural mortality (M) at 29.5˚C was 2.27 per year while the fishing mortality (F) was 1.77 per year (<xref ref-type="table" rid="table5">Table 5</xref>).</p></sec><sec id="s3_5"><title>3.5. Longevity (t<sub>max</sub>)</title><p>The longevity of I. africana in the Benin coastal waters is (t<sub>max</sub>) = 2.50 yrs.</p></sec><sec id="s3_6"><title>3.6. Probability of Capture and Length at First Capture (L<sub>C</sub> or L<sub>50%</sub>)</title><p>The estimated length at first capture was 12.92 cm (<xref ref-type="fig" rid="fig9">Figure 9</xref>).</p></sec><sec id="s3_7"><title>3.7. Exploitation Rate</title><p>The exploitation rate for I africana in the coastal waters of Benin was 0.44 (<xref ref-type="fig" rid="fig5">Figure 5</xref>). Using the E<sub>opt</sub> = 0.5 criterion (Pauly and Munro, 1984 [<xref ref-type="bibr" rid="scirp.77543-ref34">34</xref>] ), it could be concluded that the stock of this species was under exploited.</p></sec></sec><sec id="s4"><title>4. Discussion</title><sec id="s4_1"><title>4.1. Length-Frequency Distribution Structure and Sex Ratio</title><p>The asymptotic length for I. africana (TL<sub>∞</sub> = 21.31 cm) suggests that the I. africana</p><fig id="fig8"  position="float"><label><xref ref-type="fig" rid="fig8">Figure 8</xref></label><caption><title> Total instantaneous mortality estimated from the length-converted catch curve</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-1470316x13.png"/></fig><table-wrap id="table5" ><label><xref ref-type="table" rid="table5">Table 5</xref></label><caption><title> Mortality parameters of I. africanain different countries</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Authors</th><th align="center" valign="middle" >Regions</th><th align="center" valign="middle" >M (yr<sup>−</sup><sup>1</sup>)</th><th align="center" valign="middle" >F (yr<sup>−</sup><sup>1</sup>)</th><th align="center" valign="middle" >Z (yr<sup>−</sup><sup>1</sup>)</th></tr></thead><tr><td align="center" valign="middle" >Villanueva (2004) [<xref ref-type="bibr" rid="scirp.77543-ref2">2</xref>]</td><td align="center" valign="middle" >Ivory Coast</td><td align="center" valign="middle" >1.421</td><td align="center" valign="middle" >0.138</td><td align="center" valign="middle" >1.559</td></tr><tr><td align="center" valign="middle" >Villanueva (2004) [<xref ref-type="bibr" rid="scirp.77543-ref2">2</xref>]</td><td align="center" valign="middle" >Gambia</td><td align="center" valign="middle" >0.991</td><td align="center" valign="middle" >0.518</td><td align="center" valign="middle" >1.509</td></tr><tr><td align="center" valign="middle" >Valiky and Cham (2003) [<xref ref-type="bibr" rid="scirp.77543-ref13">13</xref>]</td><td align="center" valign="middle" >Sierra Leone</td><td align="center" valign="middle" >1.8</td><td align="center" valign="middle" >-</td><td align="center" valign="middle" >5.1</td></tr><tr><td align="center" valign="middle" >StokholmandIsebor (1993) [<xref ref-type="bibr" rid="scirp.77543-ref43">43</xref>]</td><td align="center" valign="middle" >Benin et Nigeria</td><td align="center" valign="middle" >-</td><td align="center" valign="middle" >-</td><td align="center" valign="middle" >3.66</td></tr></tbody></table></table-wrap><fig id="fig9"  position="float"><label><xref ref-type="fig" rid="fig9">Figure 9</xref></label><caption><title> Capture probabilities of Ilishaafricana</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-1470316x14.png"/></fig><p>stock being exploited consists of relatively smaller-sized individuals. Larger specimens reaching TL = 34.54 cm have been reported in Ivory Coast where the modal length was 13.12 cm (range 13 - 15 cm) (Villanueva, 2004 [<xref ref-type="bibr" rid="scirp.77543-ref2">2</xref>] . This modal length is notably close to what was in this survey, implying the dominance of juveniles in these catches. The length-frequency distribution structure of this species was clearly unimodal indicating probably the existence of one cohort in the population. Males are more numerous than females in contrary to what was reported by in Nigeria (King, 1997 [<xref ref-type="bibr" rid="scirp.77543-ref44">44</xref>] ), in Nigeria and Benin (Stokholm and Isebor, 1993 [<xref ref-type="bibr" rid="scirp.77543-ref43">43</xref>] ) and in Sierra Leone (Valiky and Cham, 2003 [<xref ref-type="bibr" rid="scirp.77543-ref13">13</xref>] ). An equally significant predominance of females especially was reported in the Bal&#233;ares during the reproduction season of species (Andreu and Rodiguez-Roda, 1952 [<xref ref-type="bibr" rid="scirp.77543-ref45">45</xref>] ). This variation could be explained by the migratory character of this species.</p></sec><sec id="s4_2"><title>4.2. Length-Weight Relationship</title><p>The value of the Person correlation coefficient between the length and the weight was positive (r = 0.856, N = 1296, <xref ref-type="table" rid="table2">Table 2</xref>). The value of b = 2.369 (both sexes) indicated a negative allometric growth. However, many studies (<xref ref-type="table" rid="table2">Table 2</xref>) particularly in Benin (Fiogbe et al., 2003 [<xref ref-type="bibr" rid="scirp.77543-ref40">40</xref>] (b = 3.6) and in Sierra Leone (b = 3.35) (Anyangwa, 1991 [<xref ref-type="bibr" rid="scirp.77543-ref42">42</xref>] ) showed that b can be higher than 3 (majored allometric) and in this case the weight of the individual fish grows faster than its length. This difference of the b value could be attributed to environmental conditions. Kundsen, 1962 [<xref ref-type="bibr" rid="scirp.77543-ref46">46</xref>] supported this conception. In fact these fish length and weight variations can be shown in the course of a change in environmental factors. So it is obvious that the sample mood has influenced the weigh-length relationship.</p></sec><sec id="s4_3"><title>4.3. Von Bertalanffy Growth Parameters (L<sub>∞</sub>, K and to) and Growth Performance Index (j')</title><p>Fish grows throughout its life. Fish growth is the result of the actions of specific endogen factors (genetic luggage) and exogenous factors that consist of abiotic characteristics (temperature, dissolved oxygen) and biotic characteristics (availability of food resources, feeding, intra- or interspecific competition) (Ezenwaji and Ikusemiju, 1981 [<xref ref-type="bibr" rid="scirp.77543-ref47">47</xref>] ; De Merona et al., [<xref ref-type="bibr" rid="scirp.77543-ref48">48</xref>] ; Panfili et al., [<xref ref-type="bibr" rid="scirp.77543-ref49">49</xref>] ).</p><p>According to literature (<xref ref-type="table" rid="table6">Table 6</xref>) the estimated asymptotic length in this study (L<sub>∞</sub> = 21.31 cm) is close to what was found in Gambian estuary (Villanueva, 2004 [<xref ref-type="bibr" rid="scirp.77543-ref2">2</xref>] ) and in Nigeria (East of Niger delta) (Stokholm and Isebor, 1993 [<xref ref-type="bibr" rid="scirp.77543-ref43">43</xref>] . In contrast, in Sierra-Leonean waters (Nasser, 1999 [<xref ref-type="bibr" rid="scirp.77543-ref16">16</xref>] ), in Nigerian estuary (King, 1997 [<xref ref-type="bibr" rid="scirp.77543-ref46">46</xref>] ) and in Ivory Coast coastal waters (Villanueva, 2004 [<xref ref-type="bibr" rid="scirp.77543-ref2">2</xref>] ), high values of the asymptotic length were reported respectively. This can be explained by the diversity of methods used in the growth parameters evaluation, the sensibility of the von Bertalanffy models at the key length-ages used, and the quality of samples. Growth parameters analyses indicate that the adjustment curve is relative to small-sized specimens and the value of hypothetical age at length zero is t<sub>0</sub> = −0.138. Few studies inform on the value of φ' of I. africana. In this study, the value of φ' was 2.736. Growth performance indexes of I. africana in other countries are reported in <xref ref-type="table" rid="table6">Table 6</xref>. The φ' (2.90) values obtained in Nigeria’s estuary (Stokholm and Isebor, 1993 [<xref ref-type="bibr" rid="scirp.77543-ref43">43</xref>] , King, 1997 [<xref ref-type="bibr" rid="scirp.77543-ref44">44</xref>] ) are slightly higher than what was found in the present study. The low values of growth performance indexes can be attributed to food unavailability, unfavorable environmental conditions. Specifically, getting maximal length (L<sub>∞</sub> = 21.31 cm) to a rate of K growth of 1.200 year<sup>−1</sup> is coherent and close to those gotten in Gambian estuary (Villanueva, 2004 [<xref ref-type="bibr" rid="scirp.77543-ref2">2</xref>] ). It corresponds to the maximal size of I. africana. The individual lengths which are 34.54 cm (for 0.75 growth rate) and 28.2 cm (for 1.0 growth rate) are respectively mentioned in Ebri&#233;lagun (Villanueva, 2004 [<xref ref-type="bibr" rid="scirp.77543-ref2">2</xref>] ) off Ivory Coast, in Nigerian estuary (King, 1997 [<xref ref-type="bibr" rid="scirp.77543-ref44">44</xref>] ) andin Sierra Leone (Valiky and Cham, 2003 [<xref ref-type="bibr" rid="scirp.77543-ref13">13</xref>] ). Thus, the increase in L<sub>∞</sub> value results in the decrease of K value.</p></sec><sec id="s4_4"><title>4.4. Mortality Parameters (Z, M and F) and Longevity (t<sub>max</sub>)</title><p>Mortality and growth parameters are antagonistic factors in the dynamic of populations (Ahouansou Montcho, 2011 [<xref ref-type="bibr" rid="scirp.77543-ref50">50</xref>] ). Fishing mortality (F) and natural mortality (M) contribute to total mortality (Z = M + F). Their ratio is a good indicator of the prevalence of one or another. The relevance of the estimated natural mortality M value is established through M/K. As a general rule, if Z/K</p><table-wrap id="table6" ><label><xref ref-type="table" rid="table6">Table 6</xref></label><caption><title> Growth parameters of I. africana in different countries</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Authors</th><th align="center" valign="middle" >Regions</th><th align="center" valign="middle" >TL<sub>∞</sub> (cm)</th><th align="center" valign="middle" >K (an<sup>−</sup><sup>1</sup>)</th><th align="center" valign="middle" >φ'</th></tr></thead><tr><td align="center" valign="middle" >This study</td><td align="center" valign="middle" >Benin</td><td align="center" valign="middle" >21.31</td><td align="center" valign="middle" >1.2</td><td align="center" valign="middle" >2.736</td></tr><tr><td align="center" valign="middle" >Villanueva (2004) [<xref ref-type="bibr" rid="scirp.77543-ref2">2</xref>]</td><td align="center" valign="middle" >Ivory Coast</td><td align="center" valign="middle" >34.54</td><td align="center" valign="middle" >0.75</td><td align="center" valign="middle" >-</td></tr><tr><td align="center" valign="middle" >Villanueva (2004) [<xref ref-type="bibr" rid="scirp.77543-ref2">2</xref>]</td><td align="center" valign="middle" >Gambia</td><td align="center" valign="middle" >22.75</td><td align="center" valign="middle" >0.38</td><td align="center" valign="middle" >-</td></tr><tr><td align="center" valign="middle" >Valiky et Cham (2003) [<xref ref-type="bibr" rid="scirp.77543-ref13">13</xref>]</td><td align="center" valign="middle" >Sierra Leone</td><td align="center" valign="middle" >28.2</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >-</td></tr><tr><td align="center" valign="middle" >Stockholm and Isebor (1993) [<xref ref-type="bibr" rid="scirp.77543-ref43">43</xref>]</td><td align="center" valign="middle" >East of Niger delta</td><td align="center" valign="middle" >22.0</td><td align="center" valign="middle" >2.33</td><td align="center" valign="middle" >2.90</td></tr><tr><td align="center" valign="middle" >King (1997) [<xref ref-type="bibr" rid="scirp.77543-ref44">44</xref>]</td><td align="center" valign="middle" >Nigeria (marine)</td><td align="center" valign="middle" >29.6</td><td align="center" valign="middle" >0.80</td><td align="center" valign="middle" >2.85</td></tr></tbody></table></table-wrap><p>ratio &lt; 1, the population is marked by the predomination of growth over mortality; if Z/K ratio &gt; 1, then mortality predominates over growth; if Z/K ratio = 1, then the population is in an equilibrium where mortality balances growth (Barry and Tegner, 1989 [<xref ref-type="bibr" rid="scirp.77543-ref51">51</xref>] ). In the present study, Z/K ratio = 3.667. Thus mortality predominated very largely over growth in I. africana off the coastal waters off Benin. The value of the instantaneous annual natural mortality (M = 2.27 yr<sup>−1</sup>) obtained in this study is higher than the fishing mortality (F = 1.77 yr<sup>−1</sup>). These results suggested a weak exploitation of the I. africana stock in the study area.</p><p>The instantaneous total mortality Z reported in this study is close to what was found (Z = 5.1 yr<sup>−1</sup>) in Sierra Leone (Valiky and Cham, 2003 [<xref ref-type="bibr" rid="scirp.77543-ref13">13</xref>] ) and slightly lower than what was reported in Niger Delta (Z = 3.66 yr<sup>−1</sup>) [<xref ref-type="bibr" rid="scirp.77543-ref45">45</xref>] . In Ivory Coast the value of Z = 1.559 yr<sup>−1</sup> found (Villanueva, 2004 [<xref ref-type="bibr" rid="scirp.77543-ref2">2</xref>] ) was widely different from the current result. The difference between these estimates could be attributed to many factors such as diseases, food availability, environmental factors which affect the determination of mortality through the population structure (Gabche and Hockey, 1995 [<xref ref-type="bibr" rid="scirp.77543-ref52">52</xref>] ). The longevity of this species is t<sub>max</sub> = 2.5 yrs and the natural mortality M is 2.27 yr<sup>−1</sup>. Based on these results and what was reported in Ivory Coast (t<sub>max</sub> = 4 yrs, M = 1.421 yr<sup>−1</sup>) (Villanueva, 2004 [<xref ref-type="bibr" rid="scirp.77543-ref2">2</xref>] ), it could be concluded that the weaker the natural mortality, the greater the longevity.</p></sec><sec id="s4_5"><title>4.5. Probability of Capture and Management</title><p>Fifty percent (50%) of fish specimens measuring at least 12.92 cm are vulnerable to the fishing gear. Comparing these results with the length-at-first-sexual-ma- turation (L<sub>50</sub>) reported in Sierra Leone (Valiky and Cham, 2003 [<xref ref-type="bibr" rid="scirp.77543-ref13">13</xref>] ), 19.10 cm for males and 17.43 cm for females, it could be concluded that I. africana off Benin’s coastal waters widely reaches the length-at-first-sexual-maturation before its first capture. In these conditions individuals could contribute to a renewal of stock.</p></sec><sec id="s4_6"><title>4.6. Exploitation Rate</title><p>The exploitation rate E = 0.44 yr<sup>−1</sup> in this study is inferior to the value of the optimal exploitation rate E<sub>opt</sub> = 0.5 (Pauly and Munro, 1984 [<xref ref-type="bibr" rid="scirp.77543-ref34">34</xref>] ). The fact that the E obtained in the present study is inferior to E<sub>opt</sub> = 0.5 indicates that the stock of I. africana is slightly underexploitated in the coastal waters of Benin. The fact that samples were dominated by small-sized specimens implies management measures such as size-limit regulation by gradually increasing fishing gears mesh size (Sossoukpe et al., 2013 [<xref ref-type="bibr" rid="scirp.77543-ref53">53</xref>] ; 2016 [<xref ref-type="bibr" rid="scirp.77543-ref54">54</xref>] ).</p></sec></sec><sec id="s5"><title>Cite this paper</title><p>Edmond, S., Wilfrid, A.S.H. and Didier, F.E. (2017) Growth, Mortality Parameters and Exploitation Rate of West African Ilisha (Ilisha africana Bloch, 1795, Clupeidae) off Benin Coastal Waters (West Africa): Implications for Management and Conservation. Open Journal of Marine Science, 7, 327-342. https://doi.org/10.4236/ojms.2017.73024</p></sec></body><back><ref-list><title>References</title><ref id="scirp.77543-ref1"><label>1</label><mixed-citation publication-type="other" xlink:type="simple">Diouf, P.S. 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