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Bull. Jpn. Soc. Fish. Oceanogr. 68(1),
Page 44-51
, 2004 |
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Statistical Test and Model Selection of Fish Growth Formula
Tatsuro AKAMINE
National Research Institute of Fisheries Science, Fisheries Research Agency, 2-12-4 Fukuura, Kanazawa-ku, Yokohama, Kanagawa 236-8648, Japan
e-mail: akabe@affrc.go.jp
Many formulae have been presented for fish growth. Althougth
Schnute (1981) formula is widely used in fish population dynamics,
it is equivalent to Richards (1959) one. Akamine-Richards formula
presented by Akamine (1993) is the simplest and the most practical
one which integrates von Bertalanffy, its cubic, Gompertz, logistic,
and their seasonal oscillating models expanded by using a periodic
function. In this paper, we discuss statistical tests and interval
estimations of parameters for fish growth formulae. In particular,
the weighted least-squares method for curve fitting, chi-square
test for the data with variance, F-test for the data without
variance, and model selection using AIC (Akaike Information
Criterion) are explained mathematically, and a numerical example
of interval estimations for von Bertalanffy formula is presented
by using a spreadsheet program.
Key words: growth, interval estimation,
model selection, statistical test |
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