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基于线性混合模型的不同群体柔鱼胴长体质量关系的异质性研究

韩霈武 李楠 方舟 陈新军

韩霈武, 李楠, 方舟, 陈新军. 基于线性混合模型的不同群体柔鱼胴长体质量关系的异质性研究[J]. 南方水产科学. doi: 10.12131/20200117
引用本文: 韩霈武, 李楠, 方舟, 陈新军. 基于线性混合模型的不同群体柔鱼胴长体质量关系的异质性研究[J]. 南方水产科学. doi: 10.12131/20200117
Peiwu HAN, Nan LI, Zhou FANG, Xinjun CHEN. Heterogeneity of mantle length-body mass relationship in different Ommastrephes bartramii populations based on linear mixed model[J]. South China Fisheries Science. doi: 10.12131/20200117
Citation: Peiwu HAN, Nan LI, Zhou FANG, Xinjun CHEN. Heterogeneity of mantle length-body mass relationship in different Ommastrephes bartramii populations based on linear mixed model[J]. South China Fisheries Science. doi: 10.12131/20200117

基于线性混合模型的不同群体柔鱼胴长体质量关系的异质性研究

doi: 10.12131/20200117
基金项目: 国家重点研发计划项目 (2019YFD0901404);国家自然科学基金面上项目 (41876141);农业部外海渔业开发重点实验室开放基金 (LOF 2018-02)
详细信息
    作者简介:

    韩霈武 (1996—),男,硕士研究生,研究方向为大洋性头足类生物学。E-mail: 2718344838@qq.com

    通讯作者:

    方 舟 (1988—),男,博士,讲师,从事头足类渔业生物学研究。E-mail: zfang@shou.edu.cn

  • 中图分类号: S 931.1

Heterogeneity of mantle length-body mass relationship in different Ommastrephes bartramii populations based on linear mixed model

  • 摘要: 为研究不同群体柔鱼 (Ommastrephes bartramii) 生长的异质性,文章根据2016—2018年在北太平洋采集的柔鱼样本,对该物种胴长和体质量的性别和月间差异进行了分析。构建了广义线性模型 (Generalized linear model, GLM) 和9个线性混合模型 (Linear mixed model, LMM),用于研究不同群体柔鱼的胴长和体质量关系 (m=aLb) 在性别及时间上的差异。结果显示,东、西部群体不同性别柔鱼胴长、体质量均存在极显著差异 (P<0.01);各月份间也均存在极显著差异 (P<0.01)。东部群体异速生长参数 (b) 的固定值 (2.763 4) 小于3,表示其为负异速增长,肥满度随胴长增加而减少,胴体趋于细长;西部群体b的固定值 (3.117 19) 大于3,表示其为正异速增长,肥满度随胴长增加而增大,胴体趋于宽厚。研究表明,性别和月份对不同群体柔鱼胴长和体质量关系均有显著影响,线性混合模型能将性别和月份的异质性通过随机效应在单个模型中更准确、方便地体现出来,进一步证实了此模型在个体生长异质性研究中的优势。
  • 图  1  北太平洋柔鱼不同群体采样站点

    Figure  1.  Sampling station of different populations O. bartramii in North Pacific

    图  2  东部群体柔鱼不同性别胴长体质量频率分布图

    Figure  2.  Frequency distribution of mantle length and body mass of O. bartramii of different sex for eastern population

    图  3  西部群体柔鱼不同性别胴长体质量频率分布图

    Figure  3.  Frequency distribution of mantle length and body mass of O. bartramii of different sex for western population

    图  4  柔鱼不同月份胴长体质量分布图

    a. 东部群体胴长分布图;b. 东部群体体质量分布图;c. 西部群体胴长分布图;d. 西部群体体质量分布图

    Figure  4.  Distribution of mantle length and body mass of O. bartramii in different months

    a. Distribution of mantle length for eastern population; b. Distribution of body mass for eastern population; c. Distribution of mantle length for western population t; d. Distribution of body mass for western population

    图  5  不同群体柔鱼体质量-胴长关系

    a. 东部群体雌性体质量-胴长关系;b. 东部群体雄性体质量-胴长关系;c. 西部群体雌性体质量-胴长关系;d. 西部群体雄性性体质量-胴长关系

    Figure  5.  Mantle length-body mass relationship for different O. bartramii populations

    a. Relationship between BM and ML of female for eastern population; b. Relationship between BM and ML of male for eastern population; c. Relationship between BM and ML of female for western population; d. Relationship between BM and ML of male for western population

    表  1  不同月份柔鱼样本基本信息

    Table  1.   Basic information of O. bartramii samples in different months

    群体
    Population
    年份
    Year
    月份
    Month
    样本数量
    Number of sample
    胴长范围
    Range of mantle length/mm
    东部群体 Eastern population2016—20175394163~500
    6456212~516
    西部群体 Western population2016—20187124187~290
    8283195~357
    9331199~386
    10 165190~377
    11 105215~421
    下载: 导出CSV

    表  2  不同群体柔鱼胴长-体质量关系模型的拟合效果指标

    Table  2.   Fitting effect index (AIC) of mantle length-body mass relationship models for different O. bartramii populations

    种群
    Population
    模型缩写
    Model abbreviation
    模型
    Model
    对数转化
    Log-transformed
    赤池信息量准则
    AIC
    均方根误差
    RMSE
    东部群体
    Eastern population
    LMRm = a×Lbln(m)=ln(a)+b×ln(L)−466.4020.183 265
    RSSm=a×L(b+RSS)ln(m)=ln(a)+(b+RSS)×ln(L)−472.3380.181 617
    RSIm=a×exp(RSILbln(m)=[ln(a)+RSI]+b×ln(L)−472.270.181 641
    RSI&Sm=a×exp(RSIL(b+RSS)ln(m)=[ln(a)+RSI]+(b+RSS)×ln(L)−469.0570.181 428
    RMSm=a×L(b+RMS)ln(m)=ln(a)+(b+RMS)×ln(L)−489.1070.179 784
    RMIm=a×exp(RMILbln(m)=[ln(a)+RMI]+b×ln(L)−492.7720.179367
    RMI&Sm=a×exp(RMIL(b+RSI)ln(m)=[ln(a)+RMI]+(b+RMS)×ln(L)−595.1370.166 468
    RS&MSm=a×L(b+RSS+RMS)ln(m)=ln(a)+(b+RSS + RMS)×ln(L)−494.4520.178 558
    RS&MIm=a×exp(RSI)×exp(RMILbln(m)=[ln(a)+RSI + RMI]+b×ln(L)−497.6940.178 211
    RS&MI&Sm=a×exp(RSI)×exp(RMSL(b+RSI+RSI)ln(m)=[ln(a) + RSI + RMS]+(b+RSI + RMI)×ln(L)−596.1380.165 394
    西部群体
    Western population
    LWRm = a×Lbln(m)=ln(a)+b×ln(L)−1 795.630.099 003
    RSSm=a×L(b+RSS)ln(m)=ln(a)+(b+RSS)×ln(L)−1 797.150.098 614
    RSIm=a×exp(RSILbln(m)=[ln(a)+RSI]+b×ln(L)−1 797.310.098 603
    RSI&Sm=a×exp(RSIL(b+RSS)ln(m)=[ln(a)+RSI]+(b+RSS)×ln(L)−1 796.720.098 512
    RMSm=a×L(b+RMS)ln(m)=ln(a)+(b+RMS)×ln(L)−1 807.040.097 626
    RMIm=a×exp(RMILbln(m)=[ln(a)+RMI]+b×ln(L)−1 807.410.097 615
    RMI&Sm=a×exp(RMIL(b+RSI)ln(m)=[ln(a)+RMI]+(b+RMS)×ln(L)−1 807.590.097 215
    RS&MSm=a×L(b+RSS+RMS)ln(m)=ln(a)+(b+RSS + RMS)×ln(L)−1 808.140.097 347
    RS&MIm=a×exp(RSI)×exp(RMILbln(m)=[ln(a)+RSI + RMI]+b×ln(L)−1 808.560.097 333
    RS&MI&Sm=a×exp(RSI)×exp(RMSL(b+RSI+RSI)ln(m)=[ln(a) + RSI + RMS]+(b+RSI + RMI)×ln(L)−1 808.090.096 976
    注:第一列为柔鱼的不同群体,第二列为第三、四列模型的缩写 RSS、RSI、RSI&S、RMS、RMI、RMI&S、RS&MS、RS&MI 和 RS&MI&S 分别为斜率 b 的性别随机效应、截距 ln(a) 的性别随机效应、截距 ln(a) 与斜率 b的性别随机效应、斜率 b 的月份随机效应、截距 ln(a) 的月份随机效应、截距 ln(a) 与斜率 b 的月份随机效应、斜率 b的性别与月份随机效应、截距 ln(a) 的性别与月份随机效应,以及截距 ln(a) 与斜率 b 的性别与月份随机效应Note: The first column shows different O. bartramii populations. The second column shows the abbreviations of models detailed in the third and fourth columns. RSS, RSI, RSI&S, RMS, RMI, RMI&S, RS&MS, RS&MI和RS&MI&S indicate random effects on slope(b) in sexual difference, random effects on intercept [ln(a)] in sexual difference, random effects on intercept [ln(a)] and slope(b) in sexual difference, random effects on slope(b) in months, random effects on intercept [ln(a)] in months, random effects on intercept [ln(a)] and slope(b) in months, random effects on slope(b) in sexual difference and months, random effects on intercept [ln(a)] fin sexual difference and months, and random effects on intercept [ln(a)] and slope(b) in sexual difference and months, respectively.
    下载: 导出CSV

    表  4  不同性别东西部群体柔鱼胴长与体质量关系

    Table  4.   Mantle length-body mass relationship of O. bartramii of different sex for different populations

    群体
    Population
    性别
    Sex
    胴长与体质量关系
    Mantle length-mass relationship
    样本数量
    Number of samples
    判定系数R2
    Coefficient of determination
    P
    东部群体
    Eastern population
    雌性m=3×10−5L2.981 87440.892 90.001
    雄性m=2×10−4L2.621 01060.794 30.001
    西部群体
    Western population
    雌性m=1×10−5L3.159 95120.968 10.001
    雄性m =2×10−5L3.103 54960.941 50.001
    下载: 导出CSV

    表  3  不同月份东西部群体柔鱼胴长与体质量关系

    Table  3.   Mantle length-body mass relationship for different O. bartramii populations in different months

    群体
    Population
    月份
    Month
    胴长与体质量关系
    Mantle length-mass relationship
    样本数量
    Number of samples
    判定系数R2
    Coefficient of determination
    P
    东部群体
    Eastern population
    5m =1.9×10−3L2.295 73940.670 60.001
    6m =1×10−5L3.160 14560.973 80.001
    西部群体
    Western population
    7m = 9×10−6L3.205 31240.889 50.001
    8m = 2×10−5L3.090 92830.934 50.001
    9m = 2×10−5L3.059 73310.952 00.001
    10 m = 1×10−5L3.178 31650.972 80.001
    11 m = 5×10−5L2.902 81050.947 70.001
    下载: 导出CSV
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  • 收稿日期:  2020-05-29
  • 修回日期:  2020-06-20
  • 网络出版日期:  2020-11-19

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