International Journal of Aquaculture, 2015, Vol.5, No.1 1
            
            
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              5
            
            
              http://ija.biopublisher.ca
            
            
              2
            
            
              to the nearest 1 mm, the total weight (W) and the
            
            
              gutted weight (w) to the nearest 1 g. The age was
            
            
              determined by the scales at magnification of 17.5x
            
            
              with Projector Dokumator, Lasergeret (Carl Zeiss, Jena).
            
            
              Age-length relationships were determined by linear
            
            
              regression, by the equation:
            
            
              L=a+b.t
            
            
              , where
            
            
              L
            
            
              is the
            
            
              standard length and
            
            
              t
            
            
              is the age of the fish.
            
            
              The absolute individual fecundity (F) was determined
            
            
              by the weighing method. The relation between the
            
            
              fecundity and the temp of growth was studied by
            
            
              linear regression. The linear temp of growth was
            
            
              represented from the coefficient
            
            
              b
            
            
              from the equation
            
            
              L=a+b.S
            
            
              , where
            
            
              L
            
            
              is the standard length in cm and
            
            
              S
            
            
              is the scale radius, in units.
            
            
              To express the weight
            
            
              temp of growth the coefficient
            
            
              b
            
            
              from the equation
            
            
              W=a+b.L
            
            
              (
            
            
              L
            
            
              - standard length in cm and
            
            
              W
            
            
              - total
            
            
              weight in g) was used.
            
            
              Condition factor was studied by the coefficient of
            
            
              Fulton:
            
            
              K
            
            
              f
            
            
              =(w/L
            
            
              3
            
            
              ).100
            
            
              and
            
            
              K
            
            
              f
            
            
              =(W/L
            
            
              3
            
            
              ).100
            
            
              where
            
            
              w
            
            
              is
            
            
              the gutted weight in g,
            
            
              W
            
            
              is the total weight in g, and
            
            
              L
            
            
              is the standard length in cm.
            
            
              3 Results
            
            
              3.1 Length-age relationship
            
            
              It is established high relation between the fish length
            
            
              and the age (Table 1). During the years the coefficient
            
            
              b
            
            
              was declining (Figure 1). On Figure 2 are
            
            
              represented the annual fluctuations in the average
            
            
              length of the catches of
            
            
              A. immaculata
            
            
              , from the
            
            
              Bulgarian sector of the Danube River. The range of
            
            
              the average length was between 20.1 cm and 26.3 cm.
            
            
              Between 1962 and 2010 the average length varies
            
            
              within 23.7 cm and 26.3 cm. In 2011, there is a
            
            
              significant decrease in the average fish length of
            
            
              the catches.
            
            
              Figure 1 Changes in the coefficient b from the relationship
            
            
              between the fish length and age (L=a+b.t) during the years
            
            
              Figure 2 Annual fluctuations in the average length of the
            
            
              catches of
            
            
              A. immaculata
            
            
              , from the Bulgarian sector of the
            
            
              Danube River
            
            
              Table 1 Regression between the standard length and age in
            
            
              A. immaculata
            
            
              from Danube River
            
            
              Author
            
            
              Year
            
            
              Equation
            
            
              r
            
            
              n
            
            
              Kolarov, 1965
            
            
              1962
            
            
              L=11,764+3,495.t
            
            
              0,993
            
            
              Kolarov, 1965
            
            
              1963
            
            
              L=11,963+3,37.t
            
            
              0,99
            
            
              Kolarov, 1965
            
            
              1964
            
            
              L=13,65+3,059.t
            
            
              0,996
            
            
              Kolarov, 1978
            
            
              1971
            
            
              L=11,128+3,629.t
            
            
              0,992
            
            
              181
            
            
              Kolarov, 1978
            
            
              1972
            
            
              L=12,244+3,283.t
            
            
              0,996
            
            
              1106
            
            
              Kolarov, 1978
            
            
              1973
            
            
              L=12,763+3,254.t
            
            
              0,993
            
            
              873
            
            
              Kolarov, 1978
            
            
              1974
            
            
              L=12,648+3,39.t
            
            
              0,993
            
            
              988
            
            
              Kolarov, 1980
            
            
              1979
            
            
              L=12,226+3,4383.t
            
            
              0,997
            
            
              Present study
            
            
              2010
            
            
              L=0,9678.t–21,93
            
            
              0,72
            
            
              134
            
            
              Present study
            
            
              2011
            
            
              L=0,4552.t–6,1722
            
            
              0,93
            
            
              159