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清远麻鸡父母代种鸡产蛋曲线的数学模型与拟合效果分析

Analysis on mathematical model and fitting effect of laying curve of parental breeders of Qingyuan partridge chickens

  • 摘要: 为了探究清远麻鸡父母代种鸡的产蛋规律,试验选取一栋存栏数为7 696只的清远麻鸡父母代种鸡鸡群为研究对象,记录开产后从产蛋周第1周到产蛋第38周每天的母鸡产蛋数,统计开产后38周内的累计产蛋数,计算平均每周产蛋率和累计产蛋数,采用伍德、分室、杨宁三种非线性数学模型对开产后1~38周清远麻鸡的平均每周产蛋率曲线进行拟合分析,采用Logistics、Gompertz、Von Bertalanffy三种数学模型对平均每周累计产蛋数进行曲线拟合分析。结果表明:清远麻鸡父母代种鸡的平均每周产蛋率以杨宁模型的拟合度最高(R2=0.985),其次是分室模型(R2=0.938),伍德模型的拟合度较差(R2=0.786),其中杨宁模型表达式为Y(t)=82.931e-0.011t/1+e-1.245(t-3.485)。Logistics、Gompertz、Von Bertalanffy三种数学模型都能很好地拟合清远麻鸡平均每周累计产蛋数,拟合度R2都在0.989及以上,尤其以Von Bertalanffy模型的拟合度最高(R2=0.998),其模型表达式为Y(t)=231.899(1-0.793e-0.053t)3。说明在生产实践中,可采用杨宁模型预测清远麻鸡父母代种鸡的周产蛋率,采用Von Bertalanffy模型预测清远麻鸡父母代种鸡的累计产蛋数。

     

    Abstract: In order to investigate the egg-laying pattern of parental generation breeding hens of Qingyuan partridge chickens, a flock of 7 696 parent breeders of Qingyuan partridge chickens was selected for the study.The number of eggs laid was recorded every day from the first week to the 38 th week of laying week since the start of laying, the cumulative number of eggs laid during the 38 weeks was counted, and the average weekly egg production rate and cumulative number of eggs laid were calculated.Three nonlinear mathematical models, Wood, McMillan and Yang-Ning, were used to fit the average weekly egg production rate curves of Qingyuan partridge chickens from 1 to 38 weeks since the start of laying, and three mathematical models, Logistic, Gompertz and Von Bertallanffy model were used to fit the curve of average weekly cumulative laying number.The results showed that the fitting degree of the average weekly egg production rate of parental breeders of Qingyuan partridge chickens was the highest in Yang-Ning model(R~2=0.985), followed by the McMillan model(R~2=0.938), and Wood model was the worst(R~2=0.786),and the expression of Yang-Ning model was Y(t)=82.931 e-0.011t/1+e-1.245(t-3.485). The three mathematical models, Logistic, Gompertz, and Von Bertallanffy, could well fit the total number of eggs laid by Qingyuan hens, and the fitting degree was 0.989 and above, especially the Von Bertallanffy model had the highest fitting degree(R~2=0.998),and the expression of Von Bertallanffy model was Y(t)=231.899(1-0.793 e-0.053t)~3. The results indicated that Yang Ning model could be used to predict the weekly egg production rate of parental breeders of Qingyuan partridge chickens, and Von Bertallanffy model could be used to predict the cumulative egg production of parental breeders of Qingyuan partridge chickens.

     

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