Mathematical analysis of effects of morphometric attribute on body weight of Lampetra morii and Lampetra japonica
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摘要:
为研究东北七鳃鳗和日本七鳃鳗形态性状对体质量的影响,测量314尾东北七鳃鳗和302尾日本七鳃鳗成体的体质量(Y)和全长(X1)、躯干长(X2)、尾长(X3)、头长(X4)、吻长(X5)、眼径(X6)、背鳍前长(X7)、眼后头长(X8)8个形态性状,运用相关分析、通径分析和回归分析方法,确定影响体质量的主要形态性状,建立体质量和形态性状的多元回归方程。分析结果显示:东北七鳃鳗和日本七鳃鳗体质量服从正态分布,体质量的变异系数最大,全长、躯干长、尾长、头长、吻长、眼径、背鳍前长和眼后头长8个形态性状均与体质量呈正相关(P<0.01)。经偏回归系数检验,东北七鳃鳗全长、头长、眼径和眼后头长呈显著性水平(P<0.05),其通径系数分别为0.636、0.202、0.060和0.105;日本七鳃鳗全长、吻长和眼后头长呈极显著性水平(P<0.01),其通径系数分别为0.730、0.098和0.153。单个性状对体质量的决定系数中,东北七鳃鳗和日本七鳃鳗全长对体质量的决定系数最大。东北七鳃鳗和日本七鳃鳗形态性状的单独决定系数和两个共同决定系数的总和分别为0.855和0.857。建立以东北七鳃鳗全长、头长、眼径和眼后头长4个形态性状为自变量,体质量为因变量的多元回归方程:Y=1.502X1+2.699X4+8.554X6+1.915X8-41.547;日本七鳃鳗全长、吻长和眼后头长3个形态性状为自变量,体质量为因变量的多元回归方程:Y=4.895X1+9.688X5+6.973 X8-157.460。东北七鳃鳗和日本七鳃鳗成体形态性状对体质量的分析为七鳃鳗优良亲本的人工选育以及其形态学研究提供参考依据。
Abstract:To study the relationship between body weight and morphological attributes of Lampetra morii and Lampetra japonica, 314 L. morii and 302 L. japonica were selected to measure 8 morphometric attributes including total length(X1), trunk length(X2), tail length(X3), head length(X4), snout length(X5), eye length(X6), length before the first dorsal fin (X7), head length behind eye (X8) and body weight(Y), respectively. The correlation index, path coefficients and determination coefficient are calculated with correlation analysis, path analysis and multivariate analysis, respectively. The multiple regression equations are established with morphometric attributes for the body weight reaching level of significance (P<0.05) and the body weight. The results show that the coefficient of variation of Y of L.morii and L.japonica were the highest value than that of variation of morphological attributes, respectively. And the distribution of body weight of L. morii and L. japonica obeyed normal distribution, respectively. The correlation coefficients between morphological attributes and body weight of L. morii and L. japonica were all at extremely significant level(P<0.01), respectively. Partial regression coefficient of X1, X4, X6 and X8 for body weight of L. morii were significant (P<0.05) and partial regression coefficient of X1, X5 and X8 for body weight of L. japonica reached extremely significant level(P<0.01). And the path coefficients of X1, X4, X6 and X8 of L.morii were 0.636、0.202、0.060 and 0.105 and the path coefficients of X1, X5 and X8 of L.japonica were 0.730、0.098 and 0.153. The determination coefficients of X1 for the body weight of L.morii and L. japonica were larger than that of other morphometric attributes, respecively. The high value of correlation index between morphometric attributes and body weight of L.morii and L.japonicai were 0.855 (r2) and 0.857 (r2), respectively. The multiple regression equations of L. morii and L. japonica were Y=1.502X1+2.699X4+8.554X6+1.915X8-41.547 and Y=4.895X1+9.688X5+6.973X8-157.460, respectively. In the selection process, total length, head length, eye length and head length behind eye of L. morii and total length, snout length and head length behind eye of L. japonica were considered as a whole, which provided essential theoretical basis and ideal measure for selective breeding of lamprey.
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Key words:
- Lampetra morii /
- Lampetra japonica /
- morphological attributes /
- correlation analysis /
- path analysis
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