|  | 
         
          |  |  |  |   
          |  | 
               
                |  |  |   
                |  | Bull. Jpn. Soc. Fish. Oceanogr.  68(1), 
                  Page 44-51
				  , 2004 |   
                |  |  |   
                |  | 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
 |  |  |   
          |  |   
          |  |  |