{"id":1637,"date":"2015-03-26T06:30:41","date_gmt":"2015-03-26T06:30:41","guid":{"rendered":"http:\/\/biomedpharmajournal.org\/?p=1637"},"modified":"2020-04-26T07:05:30","modified_gmt":"2020-04-26T07:05:30","slug":"studies-on-relationship-between-length-and-weight-of-fish-paracheirodon-innesi-from-water-tank-of-science-college-nanded-maharashtra","status":"publish","type":"post","link":"https:\/\/biomedpharmajournal.org\/staging\/vol3no2\/studies-on-relationship-between-length-and-weight-of-fish-paracheirodon-innesi-from-water-tank-of-science-college-nanded-maharashtra\/","title":{"rendered":"Studies on Relationship Between Length and Weight of Fish, Paracheirodon Innesi from Water Tank of Science College, Nanded, Maharashtra"},"content":{"rendered":"

Introduction<\/strong><\/p>\n

Paracheirodon innesi is an extremely popular fresh water aquarium fish. Commonly known as \u2018Neon tetra\u2019. 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.<\/p>\n

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.<\/p>\n

Material and Method<\/strong><\/p>\n

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.<\/p>\n

The mean length and mean weight was calculated by arranging them in 07 groups of 01 mm class intervals.<\/p>\n

The length weight relationship was determined by using general parabolic form of equation.<\/p>\n

W=aLb<\/sup><\/p>\n

W = log a + b log L<\/p>\n

Where \u2018W\u2019 is the weight in mgs.<\/p>\n

\u2018L\u2019 is the length in mms.<\/p>\n

\u2018a\u2019 is a constant and \u2018b\u2019 is an exponent.<\/p>\n

\u00a0<\/strong>Result and Discussion<\/strong><\/p>\n

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.<\/p>\n

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).<\/p>\n

W = aLb<\/sup><\/p>\n

W = Average weight of fish in mg.<\/p>\n

L = Average length of fish in mm.<\/p>\n

The formula may also be expressed as follows.<\/p>\n

Y = a + B x<\/p>\n

Where\u00a0\u00a0\u00a0\u00a0 Y = log W<\/p>\n

X = log L\u00a0 and<\/p>\n

a & B constant.<\/p>\n

The length weight relationship in Paracheirodon innesi fishes have found to be<\/p>\n

W = 0.04697L3.5405<\/sup><\/p>\n

Procedure of calculations for length and weight relationship in Paracheirodon innesi fishes.<\/p>\n

Table 1:<\/strong> Length weight relationship of Paracheirodon innesi.<\/strong><\/p>\n\n\n\n\n\n\n\n\n\n\n\n
Size group (mm)<\/strong><\/td>\nAverage Length (mm) \u2018L\u2019<\/strong><\/td>\nAverage weight (mg) \u2018W\u2019<\/strong><\/td>\nLog \u2018L\u2019 (x)<\/strong><\/td>\nLog \u2018W\u2019 (Y)<\/strong><\/td>\nX2<\/sup><\/strong><\/td>\nXY<\/strong><\/td>\nCalculated<\/strong><\/p>\n

Y<\/strong><\/td>\n<\/tr>\n

28 \u2013 29<\/td>\n28.66<\/td>\n290.85<\/td>\n1.4573<\/td>\n2.4636<\/td>\n2.1237<\/td>\n3.5902<\/td>\n2.4781<\/td>\n<\/tr>\n
29 – 30<\/td>\n29.19<\/td>\n340.58<\/td>\n1.4652<\/td>\n2.5322<\/td>\n2.1469<\/td>\n3.7102<\/td>\n2.5108<\/p>\n

 <\/td>\n<\/tr>\n

30 \u2013 31<\/td>\n30.86<\/td>\n340.86<\/td>\n1.4894<\/td>\n2.5325<\/td>\n2.2183<\/td>\n3.7720<\/td>\n2.6102<\/p>\n

 <\/td>\n<\/tr>\n

31 \u2013 32<\/td>\n31.47<\/td>\n441.86<\/td>\n1.4979<\/td>\n2.6452<\/td>\n2.2437<\/td>\n3.9623<\/td>\n2.6452<\/p>\n

 <\/td>\n<\/tr>\n

32 \u2013 33<\/td>\n32.64<\/td>\n486.95<\/td>\n1.5138<\/td>\n2.6874<\/td>\n2.2914<\/td>\n4.0681<\/td>\n2.7105<\/p>\n

 <\/td>\n<\/tr>\n

33 \u2013 34<\/td>\n33.84<\/td>\n591.32<\/td>\n1.5294<\/td>\n2.7718<\/td>\n2.3392<\/td>\n4.2393<\/td>\n2.7750<\/p>\n

 <\/td>\n<\/tr>\n

34 – 35<\/td>\n34.77<\/td>\n658.64<\/td>\n1.5412<\/td>\n2.8186<\/td>\n2.3753<\/td>\n4.3441<\/td>\n2.8235<\/p>\n

 <\/td>\n<\/tr>\n

TOTAL<\/td>\n<\/td>\n<\/td>\n\u00e5 X = 10.4942<\/td>\n\u00e5 Y = 18.4517<\/td>\n\u00e5 X2<\/sup> = 15.7385<\/td>\n\u00e5 XY = 27.6865<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n

x–\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/sup>= 1.4991,<\/p>\n

y–<\/sup> \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 = 2.6359<\/p>\n

\u2211 x\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 =\u00a0\u00a0 10.4942<\/p>\n

\u2211y\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 =\u00a0\u00a0 18.4517<\/p>\n

\u2211x2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/sup>=\u00a0\u00a0 15.7385<\/p>\n

\u2211xy\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 =\u00a0\u00a0 27.6865<\/p>\n

N\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 =\u00a0\u00a0 7<\/p>\n

N x–<\/sup>y–<\/sup>\u00a0\u00a0\u00a0\u00a0\u00a0 =\u00a0\u00a0 7 \u00a03.9514<\/p>\n

Nx-2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/sup>=\u00a0 \u00a0\u00a0\u00a0<\/sup>7 \u00a02.2473<\/p>\n

Now the general equation W =\u00a0 aLb\u00a0 <\/sup>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.<\/p>\n

\"vol_3_No2_STUD_Kadt_f1\"<\/p>\n

a = -2.6718<\/p>\n

a antilog a = 0.04697<\/p>\n

 <\/p>\n

y = a + Bx<\/p>\n

y = -2.6718 + 3.5405 (x)<\/p>\n

Expressing this in terms of W and L the equation\u00a0\u00a0 will be<\/p>\n

W = aLB<\/sup><\/p>\n

W = 0.04697L3.5405<\/sup><\/p>\n

Substituting these values of a and B in the above equation plot a graph for fishes. Paracheirodon innesi, taking average length on x \u2013 axis and estimated values of average weight along the y \u2013 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.<\/p>\n

The average length of fishes, estimated weight obeys the law of exponential distribution.<\/p>\n

Length and weight relationship in Paracheirodon innesi is summarized in table 1. The length and weight relationship in Paracheirodon innesi was found to be<\/p>\n

W = 0.04697L3.5405<\/sup><\/p>\n

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.<\/p>\n\n\n\n
\"Figure<\/td>\nFigure 1: length weight relationship in<\/strong> Paracheirodon innesi.<\/strong><\/p>\n

 <\/p>\n

Click here to View figure<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Length in mm<\/p>\n

 <\/p>\n\n\n\n
\"Figure<\/td>\nFigure 2: Measurement of weight during study of Paracheirodon innesi.<\/strong><\/p>\n

 <\/p>\n

Click here to View figure<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n\n\n\n
\"Figure<\/td>\nFigure 3: Paracheirodon innesi male.<\/strong><\/p>\n

 <\/p>\n

Click here to View figure<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n

 <\/p>\n\n\n\n
\"Figure<\/td>\nFigure 4: Paracheirodon innesi female.<\/strong><\/p>\n

 <\/p>\n

Click here to View figure<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n

References<\/strong><\/p>\n

    \n
  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).<\/li>\n
  2. Brown, M.E. In: Experimental studies on growth Academic Press, New York, pp., 361. (1957).<\/li>\n
  3. Muzumdar P., 1971. Length and weight relationship in the catfish Tachysurus thalassinus (Ruppell). Indian J. Fish 18: 179-182.<\/li>\n
  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<\/li>\n
  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).<\/li>\n
  6. Jhajhria, A. Length-weight relationship of major carp, Catla catla (Ham) farm\u00a0 a seasonal pond of western Rajasthan, Eco. Env.\u00a0 And Cons., 9(4): 449-451 (2003)<\/li>\n
  7. Gogte, (2005) : J. Aqua. Biol. Vol . 20 (2): 155.<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"

    Introduction Paracheirodon innesi is an extremely popular fresh water aquarium […]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[9],"tags":[],"class_list":["post-1637","post","type-post","status-publish","format-standard","hentry","category-vol3no2"],"_links":{"self":[{"href":"https:\/\/biomedpharmajournal.org\/staging\/wp-json\/wp\/v2\/posts\/1637","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/biomedpharmajournal.org\/staging\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/biomedpharmajournal.org\/staging\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/biomedpharmajournal.org\/staging\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/biomedpharmajournal.org\/staging\/wp-json\/wp\/v2\/comments?post=1637"}],"version-history":[{"count":5,"href":"https:\/\/biomedpharmajournal.org\/staging\/wp-json\/wp\/v2\/posts\/1637\/revisions"}],"predecessor-version":[{"id":33181,"href":"https:\/\/biomedpharmajournal.org\/staging\/wp-json\/wp\/v2\/posts\/1637\/revisions\/33181"}],"wp:attachment":[{"href":"https:\/\/biomedpharmajournal.org\/staging\/wp-json\/wp\/v2\/media?parent=1637"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/biomedpharmajournal.org\/staging\/wp-json\/wp\/v2\/categories?post=1637"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/biomedpharmajournal.org\/staging\/wp-json\/wp\/v2\/tags?post=1637"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}