Relationship between surplus energy and body weight in fish populations |
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Authors: | Yoshiaki Hiyama 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: | 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) = (αWx1?γ+β1?γ)1/(1?γ)?Wx, in which α, β and γ are constants and Wx is body weight at age x. 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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