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Journal of Biology, Agriculture and Healthcare                                                 www.iiste.org
ISSN 2224-3208 (Paper) ISSN 2225-093X (Online)
Vol 1, No.4, 2011



  The Length – Weight Relationship of a Riverine Fish Chela
                    bacaila ( Gunther )
                                             Dahare Rajesh
                                      Associate Professor in Zoology
                                  Sarvodaya Mahavidyalaya, Sindewahi
                              Dist. Chandrapur 441222 Maharashtra INDIA
                                       drrajeshdahare@gmail.com


Abstract

The length-weight relationship of a fish Chela bacaila (Gunther) was studied which was collected from
Wainganga river located 20’48º N 79’38º E . The entire length-weight data were analyzed by least squire
method. The length-weight relationship of Chela bacaila was studied in 386 fishes under three categories
as male, female and common. Their corresponding parabolic representations are male C. bacaila W =
0.006634 L 2.9086 , female C. bacaila W = 0.012325 L 2.6478 and common C. bacaila W = 0.013283
L 2.8097. The equilibrium constant ‘b’ is found to be 2.9086 in males, 2.6478 in females and 2.8097
common. The males are heavier than females at equal length. The equilibrium constant not obeys the cube
law because it deviates from 3. The value of ‘b’ found to be less than three hence it indicates the river
condition was not found good for healthy development of Chela bacaila .

Key word : Length-weight relationship, Chela bacaila, Riverine fish.



1. Introduction

As for as India is concern there is an increase in the population rate as compare to food production rate and
due to that there is a problem of protein deficient malnutrition Almost nearly ¾ of our population is
suffering from the same problem. The major source of protein rich food is the fish. World’s one sixth
animal protein comes only from fish. If the fish is used as food for more extent the problem of
malnutrition can easily be solved. Hence fishery production becomes the matter of more concern.

For increasing the production of fish in both marine and inland area of water it is essential to explore water
resources. Infact the world fish production is about 90% in marine and 10% in inland water. In India this
ratio is 60 and 40 percent respectively. To developing the fish industry it becomes very essential to know
the biology of fish for satisfactory management. The length – weight relationship is one of the important
parameter in biology of fish. According to Le Cren the weight of the fish proportionately increases to the
length of fish. If the value of equilibrium constant is 3 it means fish obeys the cube law. But the physical
and chemical factor affects the growth and changes the value of equilibrium constant ‘b’.

2. Material and Method

The fishes Chela bacaila were collected from Wainganga river at Pauni, district Bhandara Maharashtra
INDIA located at 20’48º N 79’38º E. The random samples were collected of variable length in 12 months.
The fishes were bring to laboratory as for as possible in fresh condition and preserved in 10% formalin The
length of fish measure from their tip of the snout to the last ray of the caudal fin in centimeter. After
measuring the fish it was weighed on a single pan balance of 0.1gm. sensitivity. The sex of each fish was
determined after giving an incision on midventral line. The fishes were categorized in the group of 0.5


                                                     11
Journal of Biology, Agriculture and Healthcare                                                  www.iiste.org
ISSN 2224-3208 (Paper) ISSN 2225-093X (Online)
Vol 1, No.4, 2011


centimeters and data obtained was fitted to the formula Y=a+bX in order to test the difference between
regression coefficient for male, female and common.

3. Result and Discussion

The length–weight relationship expressed in the equation W = a Lb where as W and L represents weight
and length of fish ‘a’ is the initial growth index and ‘b’ is the equilibrium constant. In the present study 386
fishes comprising 212 males and 174 females ranging from 8.1cm. to 11.0cm. and weight 8.3 to 10.7 gm.
were utilized. The data of length –weight relationship of Chela bacaila was categorized in three groups ie.
male, female and common.
The general equation W = a Lb can be written as Log W = Log a + b Log L ie. Y = a + bX The linear
equation fitted separately and the logarithmic equation of the length-weight relationship in Chela
bacaila is shown in Table 1. The corresponding form of parabolic equation is shown in Table 2

Hence the cubic formula W = a L b represent for length – weight relationship for Chela bacaila is not
proper. The value of ‘b’ variable from 2.9086 in males, 2.6478 in females and 2.8097 common. These
values are not obeys the cube law because values are deviating from 3. The significance of variation for
length – weight relationship of Chela bacaila was carried out and these are non significant at 5% level.

The length – weight relationship was studied by many workers in variable fishes in India and abroad like
Hile 1936 in Lencicthys artadi, Allen 1938 in Salmon trutta, Bell 1963 in Tuna, Antony Raja 1067
in Sardinella longicep , Chatterji 1980 in Labeo gonius, Hatikakoti etal. 2004 in Oreochromis
mossambicus, Das 2004 in Liza tade,

In length – weight relationship the growth coefficient ‘b’ of the fish should be close to 3.0. It may ranges
between 2.4 and 4.0 as reported by Dahare, Hile and Martin. The value of ‘b’ in females is higher than the
males as reported by [Dahare, Homiara and Kulshesthra etal. The difference in the ‘b’ value of male and
female indicated that the female were heavier than the males of the same length. In Chela bacaila the
value of ‘b’ is 2.9086 in males and 2.6478 in females and common is 2.8097. It means the value of ‘b’ in
males is more than the female . This represents males are heavier than females at equal length. The value
of ‘b’ is found to be less than 3 indicate the fish have no better condition to develop in this river.

4. Acknowledgement

The author thanks to Dr. A. G. Sontakke, Ex. Director Institute of Science Nagpur INDIA for facilities
and guidance

References

Allen K. R. (1938) Some observations on the biology of the trout (Salmo trutta) in wintermonths. J. Ani.
Ecol. 7 : 333-349.

 Antony Raja (1967) Length-weight relationship in the oil sardine (Sardinella longiceps) Indian J. Fish. 14
: 159-170.

Bell R. R. (1963) Length –weight relationship for blue fin tuna in the California fishery. California Div.
Fish and Game

Chatterji A. (1980) The relative condition factor and length-weight relationship of the fresh water carp
Labeo gonius (Ham) cyprinidae teleost J. Bombay Nat. Hist. Soc. 77 (3) : 435-443.

Dahare R. (2011) Length – weight relationship of a riverine fish Barilius barila (Gunther) J. Aquac..Res.
and Dev. 2:115
                                                      12
Journal of Biology, Agriculture and Healthcare                                             www.iiste.org
ISSN 2224-3208 (Paper) ISSN 2225-093X (Online)
Vol 1, No.4, 2011



Das S. K. (2004) Biology of length-weight and condition in a brakish water fish Liza tade (Forskal) Indian
J. Env. Ecopla. 8(1) : 209-211

Hatikakoty G. and Biswas S. P. (2004) Length – weight relationship and condition factor of Oreochromis
mossambicus (Peters) from a domestic pond Nazira upper Assam. Indian J. Env. And Ecoplan. 8 (1): 220-
236

Hile    R. (1936) Age      and     growth    of    the    Cisco     Leucichthys     artedi  (Le    Suur)
in                                                 the lake of three northern highland Wisconsin Bull. U.
S. Bur Fish 48: 209-317

Homiara S. J. (1992) Biology and population dynamics of the cat fish Arius jella from the Karnafully
river estury Chittagong M.Sc Thesis Chillagong university Bangladesh.

Kulshrestha S.K., Srivastava M. and George M. P. (1993) Length-weight relationship of a major carp Catla
catla (Ham.) from two water bodies of Bhopal. Advanced in Limnology: 329-332

Le Cren E. D. (1951) The length – weight relationship and seasonal cycle in gonadal weight and condition
in perch (Perca fluviatilis . J. Animal Ecol. 20: 201-219.

Martin W. R. (1949) The mechanics of the environmental control of body from in fishes.
Univ. Toronto Styd. Biol. 58: 1-91


Table 1 Showing Logarithmic equation of Chela bacaila


    Male Chela bacaila           Log Y = -2.1782 + 2.9086 Log X
.

    Female Chela bacaila         Log Y = -1.9092 + 2.6478 Log X



    Common Chela bacaila         Log Y = -1.8767 + 2.8097 Log X
.


Table 2 Showing the Parabolic equation of Chela bacaila


            Male Chela bacaila        W = 0.006634 L 2.9086,
.

           Female Chela bacaila       W = 0.012325 L 2.6478
.



           Common Chela bacaila       W = 0.013283 L 2.8097
.




                                                   13

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The length weight relationship of a riverine fish chela bacaila

  • 1. Journal of Biology, Agriculture and Healthcare www.iiste.org ISSN 2224-3208 (Paper) ISSN 2225-093X (Online) Vol 1, No.4, 2011 The Length – Weight Relationship of a Riverine Fish Chela bacaila ( Gunther ) Dahare Rajesh Associate Professor in Zoology Sarvodaya Mahavidyalaya, Sindewahi Dist. Chandrapur 441222 Maharashtra INDIA drrajeshdahare@gmail.com Abstract The length-weight relationship of a fish Chela bacaila (Gunther) was studied which was collected from Wainganga river located 20’48º N 79’38º E . The entire length-weight data were analyzed by least squire method. The length-weight relationship of Chela bacaila was studied in 386 fishes under three categories as male, female and common. Their corresponding parabolic representations are male C. bacaila W = 0.006634 L 2.9086 , female C. bacaila W = 0.012325 L 2.6478 and common C. bacaila W = 0.013283 L 2.8097. The equilibrium constant ‘b’ is found to be 2.9086 in males, 2.6478 in females and 2.8097 common. The males are heavier than females at equal length. The equilibrium constant not obeys the cube law because it deviates from 3. The value of ‘b’ found to be less than three hence it indicates the river condition was not found good for healthy development of Chela bacaila . Key word : Length-weight relationship, Chela bacaila, Riverine fish. 1. Introduction As for as India is concern there is an increase in the population rate as compare to food production rate and due to that there is a problem of protein deficient malnutrition Almost nearly ¾ of our population is suffering from the same problem. The major source of protein rich food is the fish. World’s one sixth animal protein comes only from fish. If the fish is used as food for more extent the problem of malnutrition can easily be solved. Hence fishery production becomes the matter of more concern. For increasing the production of fish in both marine and inland area of water it is essential to explore water resources. Infact the world fish production is about 90% in marine and 10% in inland water. In India this ratio is 60 and 40 percent respectively. To developing the fish industry it becomes very essential to know the biology of fish for satisfactory management. The length – weight relationship is one of the important parameter in biology of fish. According to Le Cren the weight of the fish proportionately increases to the length of fish. If the value of equilibrium constant is 3 it means fish obeys the cube law. But the physical and chemical factor affects the growth and changes the value of equilibrium constant ‘b’. 2. Material and Method The fishes Chela bacaila were collected from Wainganga river at Pauni, district Bhandara Maharashtra INDIA located at 20’48º N 79’38º E. The random samples were collected of variable length in 12 months. The fishes were bring to laboratory as for as possible in fresh condition and preserved in 10% formalin The length of fish measure from their tip of the snout to the last ray of the caudal fin in centimeter. After measuring the fish it was weighed on a single pan balance of 0.1gm. sensitivity. The sex of each fish was determined after giving an incision on midventral line. The fishes were categorized in the group of 0.5 11
  • 2. Journal of Biology, Agriculture and Healthcare www.iiste.org ISSN 2224-3208 (Paper) ISSN 2225-093X (Online) Vol 1, No.4, 2011 centimeters and data obtained was fitted to the formula Y=a+bX in order to test the difference between regression coefficient for male, female and common. 3. Result and Discussion The length–weight relationship expressed in the equation W = a Lb where as W and L represents weight and length of fish ‘a’ is the initial growth index and ‘b’ is the equilibrium constant. In the present study 386 fishes comprising 212 males and 174 females ranging from 8.1cm. to 11.0cm. and weight 8.3 to 10.7 gm. were utilized. The data of length –weight relationship of Chela bacaila was categorized in three groups ie. male, female and common. The general equation W = a Lb can be written as Log W = Log a + b Log L ie. Y = a + bX The linear equation fitted separately and the logarithmic equation of the length-weight relationship in Chela bacaila is shown in Table 1. The corresponding form of parabolic equation is shown in Table 2 Hence the cubic formula W = a L b represent for length – weight relationship for Chela bacaila is not proper. The value of ‘b’ variable from 2.9086 in males, 2.6478 in females and 2.8097 common. These values are not obeys the cube law because values are deviating from 3. The significance of variation for length – weight relationship of Chela bacaila was carried out and these are non significant at 5% level. The length – weight relationship was studied by many workers in variable fishes in India and abroad like Hile 1936 in Lencicthys artadi, Allen 1938 in Salmon trutta, Bell 1963 in Tuna, Antony Raja 1067 in Sardinella longicep , Chatterji 1980 in Labeo gonius, Hatikakoti etal. 2004 in Oreochromis mossambicus, Das 2004 in Liza tade, In length – weight relationship the growth coefficient ‘b’ of the fish should be close to 3.0. It may ranges between 2.4 and 4.0 as reported by Dahare, Hile and Martin. The value of ‘b’ in females is higher than the males as reported by [Dahare, Homiara and Kulshesthra etal. The difference in the ‘b’ value of male and female indicated that the female were heavier than the males of the same length. In Chela bacaila the value of ‘b’ is 2.9086 in males and 2.6478 in females and common is 2.8097. It means the value of ‘b’ in males is more than the female . This represents males are heavier than females at equal length. The value of ‘b’ is found to be less than 3 indicate the fish have no better condition to develop in this river. 4. Acknowledgement The author thanks to Dr. A. G. Sontakke, Ex. Director Institute of Science Nagpur INDIA for facilities and guidance References Allen K. R. (1938) Some observations on the biology of the trout (Salmo trutta) in wintermonths. J. Ani. Ecol. 7 : 333-349. Antony Raja (1967) Length-weight relationship in the oil sardine (Sardinella longiceps) Indian J. Fish. 14 : 159-170. Bell R. R. (1963) Length –weight relationship for blue fin tuna in the California fishery. California Div. Fish and Game Chatterji A. (1980) The relative condition factor and length-weight relationship of the fresh water carp Labeo gonius (Ham) cyprinidae teleost J. Bombay Nat. Hist. Soc. 77 (3) : 435-443. Dahare R. (2011) Length – weight relationship of a riverine fish Barilius barila (Gunther) J. Aquac..Res. and Dev. 2:115 12
  • 3. Journal of Biology, Agriculture and Healthcare www.iiste.org ISSN 2224-3208 (Paper) ISSN 2225-093X (Online) Vol 1, No.4, 2011 Das S. K. (2004) Biology of length-weight and condition in a brakish water fish Liza tade (Forskal) Indian J. Env. Ecopla. 8(1) : 209-211 Hatikakoty G. and Biswas S. P. (2004) Length – weight relationship and condition factor of Oreochromis mossambicus (Peters) from a domestic pond Nazira upper Assam. Indian J. Env. And Ecoplan. 8 (1): 220- 236 Hile R. (1936) Age and growth of the Cisco Leucichthys artedi (Le Suur) in the lake of three northern highland Wisconsin Bull. U. S. Bur Fish 48: 209-317 Homiara S. J. (1992) Biology and population dynamics of the cat fish Arius jella from the Karnafully river estury Chittagong M.Sc Thesis Chillagong university Bangladesh. Kulshrestha S.K., Srivastava M. and George M. P. (1993) Length-weight relationship of a major carp Catla catla (Ham.) from two water bodies of Bhopal. Advanced in Limnology: 329-332 Le Cren E. D. (1951) The length – weight relationship and seasonal cycle in gonadal weight and condition in perch (Perca fluviatilis . J. Animal Ecol. 20: 201-219. Martin W. R. (1949) The mechanics of the environmental control of body from in fishes. Univ. Toronto Styd. Biol. 58: 1-91 Table 1 Showing Logarithmic equation of Chela bacaila Male Chela bacaila Log Y = -2.1782 + 2.9086 Log X . Female Chela bacaila Log Y = -1.9092 + 2.6478 Log X Common Chela bacaila Log Y = -1.8767 + 2.8097 Log X . Table 2 Showing the Parabolic equation of Chela bacaila Male Chela bacaila W = 0.006634 L 2.9086, . Female Chela bacaila W = 0.012325 L 2.6478 . Common Chela bacaila W = 0.013283 L 2.8097 . 13