Relationship between surplus energy and body weight in fish populations |
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Authors: | Yoshiaki Hiyama and Takeru Kitahara |
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Institution: | (1) Japan Sea National Fisheries Research Institute, 951 Niigata, Japan;(2) Department of Fisheries Resource Management, Tokyo University of Fisheries, 108 Tokyo, Japan |
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Abstract: | Summary This paper theoretically analyses the relationship between surplus energy, which is available for either somatic growth or
reproduction, and body weight. From the data of metabolism and growth of the biwamasu,Oncorhynchus rhodurus, obtained by Miura et al., a Bernoulli's differential equation is induced to represent the relationship between body weight
and the sum of surplus energy and active metabolic rate. Solving this equation gives the amount of surplus energy,f(Wx), as follows:f(Wx) = (αW
x
1−γ
+β1−γ)1/(1−γ)−Wx, in which α, β and γ are constants andW
x is body weight at agex. The function is applied to ten fish populations and consequently it is found to be useful for a wider age range and a wider
variety of fishes than the conventional function. |
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Keywords: | surplus energy fish populations growth reproduction |
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