N. V. Kadtan¹ and K. S. Shillewar*²

¹College of Fisheries, Shirgaon, Ratnagiri India.

²Department of Zoology and Fishery Science, Science College, Nanded India.

Abstract

The length weight relationship is the most important aspect in biological studies of fishes. Length of a fish has certain mathematical relationship with its weight. This relationship changes at different life phases of fish and useful to find out length when the weight is known and vice-versa. For this study 50 specimens of Paracheirodon innesi were measured out of them 30 males and 20 were females. By using cube law method for determination of relationship between length and weight of fish was employed.

Keywords

Length weight relationship; Paracheirodon innesi

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Copy the following to cite this article: Kadtan N. V, Shillewar K. S. Studies on Relationship Between Length and Weight of Fish, Paracheirodon Innesi from Water Tank of Science College, Nanded, Maharashtra. Biomed Pharmacol J 2010;3(2)

Copy the following to cite this URL: Kadtan N. V, Shillewar K. S. Studies on Relationship Between Length and Weight of Fish, Paracheirodon Innesi from Water Tank of Science College, Nanded, Maharashtra. Biomed Pharmacol J 2010;3(2). Available from: http://biomedpharmajournal.org/?p=1637

Introduction

Paracheirodon innesi is an extremely popular fresh water aquarium fish. Commonly known as ‘Neon tetra’. The Neon tetra is a pelagic freshwater fish native to tropical parts of northern South America. The Neon tetra originates from western Brazil, south-eastern Colombia and eastern Peru and wild Neon tetras can be found in the headwaters of the River Amazon, Tiger, Napo and Yarapa. The study of length-weight relationship is the most important aspect in biological studies of fish.

Such studies were carried out in different fishes previously by Lacrane (1951), Brown (1957), Goswami (1996), Jhajhria (2003), Gogte (2005). During studies present investigation were conducted to determine length-weight relationship in the fish Paracheirodon innesi.

Material and Method

The present study was carried out for the period of three months during June to August 2010 to determine the length weight relationship of Paracheirodon innesi. Total length of fish was measured in mm. weighted in mg. firstly and after that they were weighted individually after removing surface moisture with a blotting paper.

The mean length and mean weight was calculated by arranging them in 07 groups of 01 mm class intervals.

The length weight relationship was determined by using general parabolic form of equation.

W=aL^b

W = log a + b log L

Where ‘W’ is the weight in mgs.

‘L’ is the length in mms.

‘a’ is a constant and ‘b’ is an exponent.

 Result and Discussion

Out of 50 samples of fish, length of the male ranges from 28.09 to 34.92 mm, while weight from 230 to 358 mg. In case of female fish the value ranges from 31.06 to 33.54 mm and 330 to 658 mg in weight. These values were then converted to logarithmic values and obtained statistical data and illustrated as an arithmetic plot.

The average length (L) and the average weight (W) in each size group were calculated and the relationship was determined, on the size group average with the help of the formula by Lacrane (1951).

W = aL^b

W = Average weight of fish in mg.

L = Average length of fish in mm.

The formula may also be expressed as follows.

Y = a + B x

Where     Y = log W

X = log L  and

a & B constant.

The length weight relationship in Paracheirodon innesi fishes have found to be

W = 0.04697L^3.5405

Procedure of calculations for length and weight relationship in Paracheirodon innesi fishes.

Table 1: Length weight relationship of Paracheirodon innesi.

Size group (mm)	Average Length (mm) ‘L’	Average weight (mg) ‘W’	Log ‘L’ (x)	Log ‘W’ (Y)	X2	XY	Calculated Y
28 – 29	28.66	290.85	1.4573	2.4636	2.1237	3.5902	2.4781
29 – 30	29.19	340.58	1.4652	2.5322	2.1469	3.7102	2.5108
30 – 31	30.86	340.86	1.4894	2.5325	2.2183	3.7720	2.6102
31 – 32	31.47	441.86	1.4979	2.6452	2.2437	3.9623	2.6452
32 – 33	32.64	486.95	1.5138	2.6874	2.2914	4.0681	2.7105
33 – 34	33.84	591.32	1.5294	2.7718	2.3392	4.2393	2.7750
34 – 35	34.77	658.64	1.5412	2.8186	2.3753	4.3441	2.8235
TOTAL			å X = 10.4942	å Y = 18.4517	å X2 = 15.7385	å XY = 27.6865

 

x^–                 = 1.4991,

y^–             = 2.6359

∑ x          =   10.4942

∑y           =   18.4517

∑x²             =   15.7385

∑xy         =   27.6865

N             =   7

N x^–y^–      =   7  3.9514

Nx^-2            =     7  2.2473

Now the general equation W =  aL^b  has to be fitted in for above data converting this in to logarithms and after substituting y for Log W, x for Log L and a for Log A the y = a + Bx where the constant a and B to be determined.

a = -2.6718

a antilog a = 0.04697

 

y = a + Bx

y = -2.6718 + 3.5405 (x)

Expressing this in terms of W and L the equation   will be

W = aL^B

W = 0.04697L^3.5405

Substituting these values of a and B in the above equation plot a graph for fishes. Paracheirodon innesi, taking average length on x – axis and estimated values of average weight along the y – axis. The nature of graph is curvilinear; also mark the points, average length verses observed weight. The points are slightly away from the curve, which indicates that there is nearest agreements between observed and estimated values of the weight.

The average length of fishes, estimated weight obeys the law of exponential distribution.

Length and weight relationship in Paracheirodon innesi is summarized in table 1. The length and weight relationship in Paracheirodon innesi was found to be

W = 0.04697L^3.5405

In the present study the exponent value was obtained with in this limit. It indicates that the weight of the fish is similar in relation to its length that is, isometric growth. The logarithmic values of observed length and weight are given in fig. 1.

Figure 1: length weight relationship in Paracheirodon innesi.   Click here to View figure

Length in mm

 

Figure 2: Measurement of weight during study of Paracheirodon innesi.   Click here to View figure

 

Figure 3: Paracheirodon innesi male.   Click here to View figure

 

 

Figure 4: Paracheirodon innesi female.   Click here to View figure

 

References

1. Lacrane, E.D.: The length weight relationship and seasonal cycle in gonad weight and condition in the perch (Perca fluviatilis) J. Animal Eco., 20 (2): 201-219 (1951).
2. Brown, M.E. In: Experimental studies on growth Academic Press, New York, pp., 361. (1957).
3. Muzumdar P., 1971. Length and weight relationship in the catfish Tachysurus thalassinus (Ruppell). Indian J. Fish 18: 179-182.
4. Mohanm, M.V Sankaran I.M. 1988 length and weight relationship of Indian Major Carps with improvement in expressing experiential formula. J. Aqua. Trop. 3: 43-46
5. Gowswami, U.C. and N.N.Sarma: length weight relationship in Clarias batrachus (Linl) from the Brahmaputra river system. India J. fish., 43 (2): 195-197. (1996).
6. Jhajhria, A. Length-weight relationship of major carp, Catla catla (Ham) farm  a seasonal pond of western Rajasthan, Eco. Env.  And Cons., 9(4): 449-451 (2003)
7. Gogte, (2005) : J. Aqua. Biol. Vol . 20 (2): 155.

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