Population dynamic and stock assesment of white seabream Diplodus sargus (Linnaeus, 1758) in the coast of North Siani.
The white seabream Diplodus sargus  is a commercial species found throughout the eastern temperate Atlantic and Mediterranean Seas [2,3] where it occurs in coastal rocky reef areas and Posidonia beds.
Due to its economic importance this species made the subject of study of various scientists in different countries [4-23].
White seabream was a good valuable commercial fish in Egypt, representing nearly 757 tons yearly about 1.1% by value of total catches for the Egyptian Mediterranean yield from year 2001 to year 2012 .
The aim of this study is to establish biological key characteristics and population parameters, where it is necessary for management and fish stock assessment in the Eastern Mediterranean and to compare these with data from other Mediterranean regions.
Materials and Methods
All of 991 fishes specimens of D. sargus (TL=11-38 cm) where collected during the period from September 2010-April 2012, in ElArish Marin Seaport from the catches by El-Dabba (Trammel net) gear about 95%, and by the Long line gear about 5%.
Several scales (5-6) were removed from the area below the pectoral fin, making sure that they were not regeneration scales, washed and stored dry in individually labeled envelopes.
Total length (TL) was measured to the nearest mm. And Total weight (TW) recorded to the nearest gram.
Total length-Scale radius relationship computed according to  total length-total weight relationship was computed according to . Estimate the growth parameters of the  by fitting the [28,29] while "to" was estimated by inverse  for [t.sub.o] from [L.sub.[infinity]] and K, and the asymptotic weight "[W.sub.[infinity]]" was estimated by converting "[L.sub.[infinity]]" to the corresponding weight using the obtained formula for length weight relationship.
Length with the highest biomass in an unfished population ([L.sub.opt]), estimated according to  from the parameters of the  growth function and natural mortality.
Estimate of life span ([t.sub.max]) according to , where it is the approximate maximum age that fish of a given population would reach.
Instantaneous total mortality coefficient "Z" estimated by means of the following methods [32-35]. The Powell-Wetherall plot based  discussed in  and Linearized catch curve based on age composition data . Instantaneous natural mortality coefficient "M" estimated by means of the following methods [39-46]. The fishing mortality coefficient "F" estimated by subtracting the natural mortality coefficient from the total mortality coefficient.
The exploitation rate "E" estimated by the formula suggested by . Estimation of survival rates "S" as a number of fish alive after a specified time interval, divided by the initial number, usually on a yearly basis was done according to  equation.
Virtual Population Analysis (VPA) has become one of the most commonly used age-and time-dependent fish population models in fisheries science to analyze the historical data for estimation of population parameters of D. sargus in the coast of North Sinai [48,49].
Besides, fishery management plans rely on accurate age determinations; if age estimations are not validated, errors in age determination could result in inaccurate mortality estimates, underestimation of strong year classes and longevity .
Total length-scale radius relationship
Microscopic examination of scales growth rings showed a linear regression between Length and scale radius of D. sargus represented by a straight line (Figure 1), the following formula representing this relationship:
L = 5.305 S -2.528r = 0.983
where, "L" is the total length (cm) and "S" is the total scale radius (micrometre division).
The obtained equation found to be representing the relation between lengths and weights of D. sargus were:
W=0.011[L.sup.3.165] with r=0.976
This relation can be explained graphically as in (Figure 2). Theoretical growth in length and weight
Theoretical growth in length and weight of D. sargus in the coast of north Sinai by solve  growth equation for length and weight and fitting the [28,29] plot, were found as follows and constant as in (Table 1).
For length Lt = 40.71(1 - [e.sup.-2497(t+0.2794)])
For weight Wt = 1368.1[(1 - [e.sup.-0.2497(t+0.2794)]).sup.3.165]
Estimation of [L.sub.opt] and [t.sub.max]
Approximate maximum length with the highest biomass of D. sargus, caught from North Sinai coast was 26.63 cm, and approximate maximum age [t.sub.max] was 11.73 years.
[FIGURE 1 OMITTED]
[FIGURE 2 OMITTED]
Length composition: Total length frequency composition of D. sargus distributed with 28 size groups from size range 11-11.9 cm to size range 38-38.9 cm, the size group 16-16.9 cm (about 16.25% of the total frequencies), is the domination in the size groups and the size groups 11-11.9 cm and 38-38.9 (about 0.10% of the total frequencies) were the least size group frequencies (Figure 3).
Age composition: Age composition of D. sargus with the percentage of fishes of each five age groups we found the age group (I) is dominant in the catch about 48.34%, where Age group (V) is the least represented group in the catch about 4.14% (Figure 4).
Instantaneous mortality and survival rats: Instantaneous total mortality rate "Z" of D. sargus found 0.7066 [year.sup.-1], even as the instantaneous natural mortality "M" and instantaneous fishing mortality "F" was 0.3961 [year.sup.-1] and 0.3105 [year.sup.-1] respectively. Survival rate from age composition data using  equation found 0.4857.
Exploitation rate: Exploitation rate "E" of D. sargus in North Sinai coast found 0.4394 where it less than the optimum fishing mortality in an exploited stock suggested by , approximately 0.5.
Virtual population analysis
Estimation of age and time-population model done by using  cohort analysis as in Figure 5 and we perceive that this model defined cumulative instantaneous rate of fishing mortality "F" of the fish in the population, where it increased to the maximum value at age group 2 (0.4295 [year.sup.-1]) then it decreased, age group 1 and 5 have minimum value. Population number and survivors had decreased from age group 1 to 5 by the natural losses of biomass of cohort and fishing losses, while catches number increased in smaller ages (1 and 2) and decreased in older ages (4 and 5) where that means there was fishing pressure of smallest fishes.
[FIGURE 3 OMITTED]
[FIGURE 4 OMITTED]
[FIGURE 5 OMITTED]
Biological management of fisheries resources is generally aimed at preventing overfishing and optimizing yield. Age and growth parameters are the most important study to our understanding of the species biology was enable to control of fishing.
In the present work, data for body length and scale radius show a linear on their scatter diagram. For length-weight relationship of D. sargus in the coast of North Sinai fishery we found "b" parameter (b=3.165), this was agreement with  in the Egyptian Mediterranean water b=3.144,  in the Gulf of Lion b=3.123,  in the Azores b=3.181 for both Males and Females, for Males was b=3.032 and for Females was b=3.054. Less than  in the South-East coast of South Africa b=3.242 and more than  in the Egyptian Mediterranean water b=2.859,  in the Gulf of Tunis b=3.129 for Males, for Females b=2.994 and for all individuals b=3.051,  in Abu Qir bay b=2.942 and  in the Eastern cost of Algeria b=2.987.
Growth parameters of the [27-29] by fitting the plot are arranged (Table 2). From this table we can perceive a varied diverse between authors and we can deduce that there are difference between growths in different locations; it may be return to the water surface temperature and food abundance.
The approximate maximum age ([t.sub.max]) of D. sargus in the coast of North Sinai are less than  in South Africa [t.sub.max] =21 years and [t.sub.max] =14 years. Similar with  [t.sub.max] =12 years, [t.sub.max] =13.4 years and  in Abu Qir bay [t.sub.max] =11.45 years, these means that D. sargus have the same maximum age in the nearest geographic locations.
Length frequency distributions provide snapshots of the combination of fish species present and the sizes of individuals at particular locations and times. The smallest fish length in the catch of D. sargus in present work was 11 cm TL, while the biggest length was 38 cm TL, this result indicates that the D. sargus in the coast of North Sinai was fishing in small lengths at the first year of life.
In addition, if the length composition of our sample reflects the commercial fishery catches, we must point out that more than 70% of the fish caught were smaller than length at first maturity. Therefore, in order to improve the stock management of D. sargus and the conservation of this species in the coast of North Sinai, an increase in the minimum legal length authorized for capture is strongly recommended.
The most dominant age in the catch of D. sargus is age group I where it contributes about 48.34%, this result was similar with [52,56] that indicate not only there was a fishing pressure on this fish but also that occur in different locations.
Before estimating the fishing and natural mortalities separately, it is convenient to estimate the total mortality. Instantaneous total mortality coefficient "Z" of D. sargus in the coast of North Sinai fishery was 0.7066 [year.sup.-1].  estimated the total mortality for D. vulgaris in the South coast of Portugal, which was 0.625 [year.sup.-1],  found total mortality was 1.092 [year.sup.-1] for D. sargus and 1.049 [year.sup.-1] for D. vulgaris.
Estimating natural mortality "M" is one of the most difficult and critical elements of a stock assessment . Natural mortality "M" of D. sargus in present study was 0.3961 [year.sup.-1],  estimated natural mortality which was 0.606 [year.sup.-1] for D. sargus and 0.600 [year.sup.-1] for D. vulgaris. The same species may have different natural mortality rates in different areas depending on the density of predators and competitors, whose abundance is influenced by fishing activities .
Estimates of fish mortality rates are often included in mathematical yield models to predict yield levels obtained under various exploitation scenarios. Fishing mortality "F" in present study was 0.3105 [year.sup.-1].
Exploitation rate is the fraction of an age class that caught during the life span of a population exposed to fishing pressure, the exploitation rate was 0.4394,  found exploitation rate was 0.445.
Virtual Population Analysis (VPA) cohort analysis was first developed as age based methods. It is commonly used for studying the dynamics of harvested fish populations  the feature of VPA that is most important for practical use is that, given a high fishing pressure, estimates of population size obtained tend to converge rapidly toward their true value, and hence usually provide, given a reasonable estimate of M, reliable estimates of recruitment . Present study could be considered as a base for future studies that help to predict the future catch in North Sinai coast and demonstrate that the D. sargus died by natural mortality more than those which die by fishing mortality. It could also be seen that, the increase in fishing mortality as the fish increases in age was accompanied by a decrease in the population numbers of the species understudy. On the other hand, the natural mortality decreases as the fish gets older. These results are in agreement with  in Abu Qir bay, Alexandria, Egypt.
From previous results we can conclude that the white seabream D. sargus in the coast of North Sinai facing more stress which fishing effort is more based on age groups I and II with small lengths from 14 to 17 cm. Also, it must to catch these fishes at ages more than 2 till 3 years to give it chance to grow to economical preferred size and to reduce overfishing of its first year of life.
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Ahmed M Al-Beak (1) *, Ghoneim, SI (2), El-Dakar AY (3) and Salem M (2)
(1) General Authority for Fish Resources Development (GAFRD), Egypt
(2) Suez Canal University, Egypt
(3) Suez University, Egypt
* Corresponding author: Ahmed M Al-Beak, General Authority for Fish Resources Development (GAFRD), Egypt, Tel: +20 2 22603934; E-mail: firstname.lastname@example.org
Received August 15, 2015; Accepted December 04, 2015; Published December 16, 2015
Table 1: Constants of Von Bertalanffy's growth equation of D. sargus from the coast of North Sinai. Constants Ford (1933)-Walford (1946) [L.sub.[infinity]] 40.71 cm. K 0.2497 [year.sup.-1] [t.sub.o] -0.2794 [year.sup.-1] [W.sub.[infinity]] 1368.1 gm. Table 2: Von Bertalanffy's growth parameters ([L.sub.[infinity]], K, [t.sub.o] and [W.sub.[infinity]]) for D. sargus for various authors and in different locations. Author Method [L.sub.[infinity] K [t.sub.o] and date  Scales 46.7 0.12 -1.63 0  Otoliths 48.4 0.18 -0.06 8  Otoliths 41.7 0.25 -0.08 0  Otoliths 30.9 0.25 -1.05 4  Otoliths 47.3 0.14 -1.97 0  Otoliths 40.9 0.18 -1.28 Scales 39.5 0.15 -1.89  Otoliths 41.2 0.18 -0.86  Scales 32.7 0.13 -1.84  Scales 31.3 0.26 -0.73 8  All 36.3 0.15 -0.49 Males 35.1 0.16 -0.43 Females 35.4 0.16 -0.6 Present Scales 40.7 0.25 -0.28 study Author Method [W.sub.[infinity] Location and date  Scales 2089 N/W Medit. 7  Otoliths -- N/E Atlantic --  Otoliths -- N/W Medit. --  Otoliths -- South Africa --  Otoliths -- Canary Islands --  Otoliths -- South Portugal Scales --  Otoliths 524 South  Scales -- Egypt  Scales -- Abu Qir Bay --  All -- Eastern Algeria Males -- Females -- Present Scales 1368 E. Medit. study
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|Title Annotation:||Research Article|
|Author:||Beak, Ahmed M. Al-; Ghoneim, S.I.; Dakar, A.Y. El-; Salem, M.|
|Publication:||Fisheries and Aquaculture Journal|
|Date:||Dec 1, 2015|
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