关于鱼的生长方程的研究──Ⅱ.估计参数的一种新方法  

STUDY ON THE FISH GROWTH EQUATION Ⅱ. A NEW METHOD FOR ESTIMATING PARAMETERS

作　　者：赵维谦[1] 

机构地区：[1]青岛海洋大学应用数学系,青岛266003

出　　处：《海洋与湖沼》1994年第5期499-504,共6页Oceanologia Et Limnologia Sinica

基　　金：自选课题

摘　　要：目前描述鱼的体重生长的方程主要有（1）和作者对该方程推广而导出的方程（2），本文对基于这两个方程的4种参数估计法，指出了其不足Z处，并提出了一种估计参数的新方法——搜寻逼近法。该方法比前4种方法具有更好的拟会化度，通过实例计算得到进一步的证实。此外，还对鱼的样本资料的处理作了论述。这对更好的掌握鱼的生长规律、进而合理利用和开发渔业资源具有重要意义。In present, for equations describing the growth of fish, one of them is derived by von Bertalanffy, i. e. equation (1):another is equation (2) derived by author (1994)In this paper, four kinds of methods estimating, the parameters in equations (1), (2) are introduced. Meanwhile, it is pointed out that these methods have certain deficencies: either the models used are not appropriate or the assumptions made are unrealistic. Thus, in this study a new method (search and approximation method) is put forward based on equation (2) and less assumptions. To do this. R is discreted and remainder error is taken as a sca1e. Then mucli better parameters are obtained by searching and approxmating. on the basis of the measurered data of the Platyccphalus indicus, the equation of the body weight growth is derived as follows:where denothes the weight of the flathead at age i by using the kind i of methods, i = 1,2, 3,4,5. Thus, S1 = 88.13,S2 = 69.59,S3 = 78.71,S4 = 84.29,S5 = 65.46.Taking δj = (S j - S5)/S5, δ1 = 35 %, δ2 = 6%, δ3 = 20%, δ4 = 29%. obviously,the search and approximation method is advantege to the other methods.In addition, the process of the sample data correnspoding this method is also discussed much better in this paper.

关 键 词：鱼 生长方程 参数估计 生长规律 

分 类 号：Q959.4[生物学—动物学]