Fitting analysis on growth curves of body mass and size of Guinea fowl
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摘要:目的
为系统选育和改良珍珠鸡Guinea fowl生产性能提供基本数据资料。
方法以1~9周龄珍珠鸡为研究对象，分析其生长发育规律，并采用Logistic、Gompertz、Bertalanffy 3种模型进行拟合分析，探讨其合适的生长模型。
结果公、母珍珠鸡的体质量、龙骨长、胫长和胫围差异不显著(P＞0.05)，生长发育规律呈现一致趋势。体尺性状在2周龄生长速率最大，呈直线上升趋势。珍珠鸡体质量与体尺性状间均呈正相关，公珍珠鸡的胫长与体质量的相关系数最大(r=0.752)，且达到极显著水平。母珍珠鸡的体质量与龙骨长的相关系数最大(r=0.600)，其次为胫长(r=0.509)，且胫长与龙骨长之间相关性达到显著水平，相关系数为0.477。3种曲线模型均适合珍珠鸡生长曲线的模拟，其中Gompertz模型是珍珠鸡体质量的最佳拟合模型，龙骨长、胫长和胫围的最佳拟合模型均为Bertalanffy模型。
结论公、母珍珠鸡体质量和体尺生长发育规律趋势一致，Gompertz、Bertalanffy模型分别是体质量和体尺性状的最佳拟合模型，应加强对胫长指标的选育，有可能间接提高珍珠鸡龙骨长度和胸肌产量，并提高体质量。
Abstract:ObjectiveTo provide basic data for selective breeding and improving of reproduction performance of Guinea fowl.
MethodThe growth and development patterns of one-to nine-week-old G. fowl were studied. Three different models including Logistic, Gompertz and Bertalanffy models were compared to identify the best model fitting G. fowl growth.
ResultGrowth traits including body mass, keel length, shank length and shank girth showed no significant differences between male and female G. fowl (P > 0.05) and exhibited similar trends. The growth rate of body size was the highest with a straight ascending trend at the age of two weeks. The body mass of G. fowl was positively correlated with its body size. For male ones, the correlation coefficent (r=0.752, P < 0.01) between body mass and shank length was the largest. For female ones, the correlation coefficent (r=0.600) between body mass and keel length was the largest, followed by the correlation coefficent (r=0.509) between body mass and shank length. In addition, the correlation (r=0.477) between shank length and keel length was significant (P < 0.01). All three models could be used for fitting G. fowl growth, among which the Gompertz model was the best for body mass and the Bertalanffy model was the best for body size.
ConclusionThere are similar trends in growth and development of body mass and body size between male and female G. fowl. The Gompertz and Bertalanffy models are the best for fitting body mass and body size, respectively. Improving the shank length of G. fowl may help to increase its keel length, pectoral production as well as body mass.
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Keywords:
- Guinea fowl /
- growth and development pattern /
- growth curve /
- fitting analysis
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图 1 珍珠鸡生长曲线与拟合曲线比较
Figure 1. Comparison of the fitted curve and growth curve of Guinea fowl
表 1 3种生长曲线模型及参数1)
Table 1 Three growth curve models and the parameters
模型 表达式 拐点周龄 拐点生长量 Logistic Y=A/(1+Be-kt) (lnB)/k A/2 Gompertz Y=Ae-Bexp(-kt) (lnB)/k A/e Bertalanffy Y=A/(1-Be-kt)3 (ln3B)/k 8A/27 1)A为性状最大值，B为参数，k为瞬时生长速率，t为周龄。 
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表 2 珍珠鸡体尺性状累积生长量1)
Table 2 Cumulative growth of body size of Guinea fowl
mm 周龄 龙骨长 胫长 胫围 公鸡 母鸡 公鸡 母鸡 公鸡 母鸡 1 2.30±0.22 2.32±0.28 3.14±0.26 3.09±0.18 1.54±0.28 1.73±0.27 2 36.91±2.75 36.35±3.01 38.04±2.53 37.01±2.47 22.36±2.00 22.28±2.62 3 46.38±2.44 46.48±3.45 45.19±2.07 44.64±2.00 23.23±1.38 22.83±0.87 4 59.12±3.45 58.17±3.08 54.83±2.26 54.26±3.05 27.88±3.04 26.26±1.99 5 67.82±4.37 66.92±4.41 60.91±2.38 60.23±2.75 30.01±1.67 29.30±1.56 6 72.86±2.86 72.19±3.56 69.92±3.99 68.89±3.79 33.68±1.12 32.59±2.48 7 81.56±2.86 80.93±5.31 75.69±2.44 75.22±3.80 35.51±1.90 33.97±2.31 8 84.53±3.41 86.27±5.57 79.14±4.32 79.53±5.51 35.76±1.26 34.51±1.91 9 88.48±2.94 89.31±5.87 83.84±2.47 83.99±4.10 37.16±1.46 36.82±2.38 1) 经t检验，公、母珍珠鸡间的龙骨长、胫长、胫围差异性不显著(P＞0.05)。
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表 3 珍珠鸡体质量累积生长量1)
Table 3 Cumulative growth of body mass of Guinea fowl
g 周龄 公鸡 母鸡 1 55.01±3.28 52.89±6.43 2 111.93±7.40 109.19±12.53 2 185.48±35.89 190.38±28.23 4 326.04±31.46 324.28±33.34 5 454.87±39.46 444.51±40.82 6 583.98±61.16 586.21±59.41 7 735.38±68.16 759.30±83.10 8 879.04±85.64 887.98±112.15 9 977.31±59.65 993.09±138.48 1) 经t检验，公、母珍珠鸡间的体质量累积生长量差异性不显著(P＞0.05)。
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表 4 5周龄珍珠鸡体质量与体尺性状的相关系数1)
Table 4 The correlation coefficient between body mass and body size of Guinea fowl at the age of five weeks
项目 体质量 龙骨长 胫长 胫围 体质量 1.000 0.513 0.752** 0.428 龙骨长 0.600** 1.000 0.553 -0.211 胫长 0.509** 0.447* 1.000 0.417 胫围 0.034 -0.090 0.137 1.000 1) 左下角为母鸡的相关系数，右上角为公鸡的相关系数；*表示显著(P＜0.05)，**表示极显著(P＜0.01)，t检验。
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表 5 3种生长曲线模型拟合结果1)
Table 5 Fittings of three types of curves
性别 性状 模型 A B k 拐点生长量 拐点周龄 公鸡 体质量 Logistic 1 137.55 25.66 0.56 568.78 5.79 Gompertz 1 507.68 4.41 0.26 554.64 5.71 Bertalanffy 1 996.12 0.85 0.16 591.44 5.85 龙骨长 Logistic 84.85 10.07 0.79 42.43 2.92 Gompertz 86.90 3.52 0.56 31.97 2.25 Bertalanffy 88.07 0.84 0.49 26.09 1.89 胫长 Logistic 80.63 7.91 0.71 40.32 2.91 Gompertz 82.34 3.08 0.52 30.29 2.16 Bertalanffy 83.30 0.76 0.46 24.68 1.79 胫围 Logistic 34.98 9.28 1.00 17.49 2.23 Gompertz 35.15 3.88 0.8 12.93 1.69 Bertalanffy 35.29 0.97 0.73 10.46 1.46 母鸡 体质量 Logistic 1 158.30 27.15 0.56 579.15 5.90 Gompertz 1 550.42 4.49 0.26 570.37 5.78 Bertalanffy 2 077.50 0.86 0.15 615.56 6.32 龙骨长 Logistic 86.27 9.43 0.74 43.135 3.03 Gompertz 88.57 3.36 0.53 32.58 2.29 Bertalanffy 89.90 0.81 0.46 26.64 1.93 胫长 Logistic 81.13 7.84 0.69 40.565 2.98 Gompertz 83.05 3.04 0.50 30.55 2.22 Bertalanffy 84.13 0.75 0.44 24.93 1.84 胫围 Logistic 34.10 8.11 0.94 17.05 2.23 Gompertz 34.21 3.60 0.77 12.59 1.66 Bertalanffy 34.32 0.92 0.71 10.17 1.43 1) A为性状最大值，B为参数，K为瞬时生长速率；体质量的拐点生长量及A的单位为g, 龙骨长、胫长和胫围的拐点生长量及A的单位为mm。
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表 6 3种生长曲线模型拟合度比较
Table 6 Comparison of the fitting goodness of three growth curve models
性别 模型 体质量 龙骨长 胫长 胫围 公鸡 Logistic 0.998 2 0.948 3 0.932 5 0.891 4 Gompertz 0.999 3 0.965 6 0.950 8 0.917 9 Bertalanffy 0.998 8 0.972 6 0.958 5 0.929 0 母鸡 Logistic 0.998 7 0.946 6 0.934 5 0.878 3 Gompertz 0.999 2 0.964 0 0.952 5 0.905 4 Bertalanffy 0.998 5 0.971 1 0.959 9 0.916 9
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