浙江农业学报 ›› 2022, Vol. 34 ›› Issue (1): 50-59.DOI: 10.3969/j.issn.1004-1524.2022.01.07
冯小芳1(), 蒋秋斐2, 封元2, 王瑜2, 陈亚飞1, 母童1, 黎明3, 周子航1, 蔡正云1, 张娟1, 顾亚玲1,*(
)
收稿日期:
2021-05-18
出版日期:
2022-01-25
发布日期:
2022-02-05
通讯作者:
顾亚玲
作者简介:
* 顾亚玲,E-mail: guyaling@sina.com基金资助:
FENG Xiaofang1(), JIANG Qiufei2, FENG Yuan2, WANG Yu2, CHEN Yafei1, MU Tong1, LI Ming3, ZHOU Zihang1, CAI Zhengyun1, ZHANG Juan1, GU Yaling1,*(
)
Received:
2021-05-18
Online:
2022-01-25
Published:
2022-02-05
Contact:
GU Yaling
摘要:
为充分了解安格斯牛生长发育规律,指导饲养管理和提高品种选育,以安格斯牛为研究对象,通过Logistic、Gompertz和Von Bertalanffy 3种曲线模型对0~18月龄安格斯牛体重和体尺性状进行生长曲线拟合分析,并选出最佳生长曲线模型,利用该模型计算体重和体尺的相对生长(R)和绝对生长(G)情况,并对各性状进行简单的相关性分析。结果表明:Von Bertalanffy模型对体重和体尺性状均具有最佳的拟合效果,该模型估计的体重生长拐点为(8.33月龄、245.13 kg);分析各性状的生长发育规律发现,体重和体尺性状的生长强度随月龄的增加逐渐下降,且体重在0~10月龄生长速率达到最大,随后逐渐下降。各性状间的相关性分析表明,体重与体尺性状间均为极显著强正相关(P<0.01),表明体重和体尺性状存在正向选择关系。以上结果体现了安格斯牛早熟性和早期生长强度大、增重速率高的优势。
中图分类号:
冯小芳, 蒋秋斐, 封元, 王瑜, 陈亚飞, 母童, 黎明, 周子航, 蔡正云, 张娟, 顾亚玲. 安格斯牛体重和体尺性状生长曲线拟合与相关性分析[J]. 浙江农业学报, 2022, 34(1): 50-59.
FENG Xiaofang, JIANG Qiufei, FENG Yuan, WANG Yu, CHEN Yafei, MU Tong, LI Ming, ZHOU Zihang, CAI Zhengyun, ZHANG Juan, GU Yaling. Growth curve fitting and correlation analysis of body weight and body measurements in Angus cattle[J]. Acta Agriculturae Zhejiangensis, 2022, 34(1): 50-59.
月龄 Month of age | 数量 Numbers | 体重 Body weight/kg | 体高 Body height/cm | 体斜长 Body length/cm | 胸围 Chest girth/cm | 腹围 Abdomen circumference/cm | 管围 Shin circumference/cm | 十字部高 Height at hip cross/cm |
---|---|---|---|---|---|---|---|---|
0 | 669 | 31.09±3.13 | 92.20±6.22 | 94.65±7.46 | 94.83±6.47 | 96.59±6.71 | 9.12±0.97 | 93.64±6.41 |
2 | 339 | 99.12±3.19 | 92.13±5.94 | 96.16±8.19 | 109.50±9.73 | 116.69±13.37 | 12.42±1.06 | 96.80±7.91 |
4 | 619 | 153.90±5.42 | 100.61±8.28 | 103.80±10.08 | 124.36±14.10 | 143.97±11.50 | 13.62±1.16 | 102.54±7.41 |
6 | 809 | 226.74±18.27 | 106.69±2.98 | 113.08±5.64 | 136.94±15.91 | 164.98±12.15 | 14.81±3.60 | 109.57±3.58 |
8 | 336 | 231.80±22.74 | 106.97±3.41 | 117.90±4.78 | 145.89±9.06 | 172.98±9.52 | 15.46±1.19 | 109.90±3.66 |
10 | 225 | 287.48±56.89 | 110.01±5.94 | 121.30±12.49 | 149.15±12.70 | 183.17±14.36 | 16.61±1.11 | 117.01±8.46 |
12 | 1 457 | 317.37±56.70 | 114.76±6.82 | 126.96±10.51 | 157.35±16.40 | 186.91±16.79 | 17.12±1.37 | 119.29±7.15 |
14 | 275 | 345.84±61.62 | 122.74±12.19 | 133.96±11.25 | 166.65±16.64 | 196.60±13.74 | 17.48±1.11 | 125.95±12.95 |
16 | 152 | 435.61±76.49 | 126.16±5.21 | 142.21±7.88 | 183.80±14.81 | 206.43±12.10 | 18.90±1.30 | 128.74±5.73 |
18 | 549 | 480.03±74.76 | 128.54±7.16 | 146.70±11.30 | 187.96±14.99 | 211.42±18.97 | 18.97±1.49 | 129.48±7.15 |
表1 安格斯牛不同月龄段体重和体尺统计结果
Table 1 Statistical results of body weight and body size of Angus cattle at different ages
月龄 Month of age | 数量 Numbers | 体重 Body weight/kg | 体高 Body height/cm | 体斜长 Body length/cm | 胸围 Chest girth/cm | 腹围 Abdomen circumference/cm | 管围 Shin circumference/cm | 十字部高 Height at hip cross/cm |
---|---|---|---|---|---|---|---|---|
0 | 669 | 31.09±3.13 | 92.20±6.22 | 94.65±7.46 | 94.83±6.47 | 96.59±6.71 | 9.12±0.97 | 93.64±6.41 |
2 | 339 | 99.12±3.19 | 92.13±5.94 | 96.16±8.19 | 109.50±9.73 | 116.69±13.37 | 12.42±1.06 | 96.80±7.91 |
4 | 619 | 153.90±5.42 | 100.61±8.28 | 103.80±10.08 | 124.36±14.10 | 143.97±11.50 | 13.62±1.16 | 102.54±7.41 |
6 | 809 | 226.74±18.27 | 106.69±2.98 | 113.08±5.64 | 136.94±15.91 | 164.98±12.15 | 14.81±3.60 | 109.57±3.58 |
8 | 336 | 231.80±22.74 | 106.97±3.41 | 117.90±4.78 | 145.89±9.06 | 172.98±9.52 | 15.46±1.19 | 109.90±3.66 |
10 | 225 | 287.48±56.89 | 110.01±5.94 | 121.30±12.49 | 149.15±12.70 | 183.17±14.36 | 16.61±1.11 | 117.01±8.46 |
12 | 1 457 | 317.37±56.70 | 114.76±6.82 | 126.96±10.51 | 157.35±16.40 | 186.91±16.79 | 17.12±1.37 | 119.29±7.15 |
14 | 275 | 345.84±61.62 | 122.74±12.19 | 133.96±11.25 | 166.65±16.64 | 196.60±13.74 | 17.48±1.11 | 125.95±12.95 |
16 | 152 | 435.61±76.49 | 126.16±5.21 | 142.21±7.88 | 183.80±14.81 | 206.43±12.10 | 18.90±1.30 | 128.74±5.73 |
18 | 549 | 480.03±74.76 | 128.54±7.16 | 146.70±11.30 | 187.96±14.99 | 211.42±18.97 | 18.97±1.49 | 129.48±7.15 |
性状Traits | 模型Model | A | B | k | P value | SS | R2 |
---|---|---|---|---|---|---|---|
BW | Logistic | 585.90 | 6.459 8 | 0.178 2 | <0.000 1 | 6 397.00 | 0.992 6 |
Gompertz | 712.30 | 2.370 1 | 0.095 1 | <0.000 1 | 4 936.90 | 0.994 3 | |
Von Bertalanffy | 827.30 | 0.580 4 | 0.066 6 | <0.000 1 | 4 365.50 | 0.994 9 | |
BH | Logistic | 113.50 | 1.811 4 | 0.034 1 | <0.000 1 | 35.70 | 0.999 7 |
Gompertz | 131.10 | 1.512 1 | 0.014 7 | <0.000 1 | 35.71 | 0.999 7 | |
Von Bertalanffy | 156.40 | 0.475 3 | 0.008 2 | <0.000 1 | 35.71 | 0.999 7 | |
BL | Logistic | 160.10 | 2.029 3 | 0.043 7 | <0.000 1 | 25.28 | 0.999 8 |
Gompertz | 171.80 | 1.595 9 | 0.018 6 | <0.000 1 | 25.19 | 0.999 8 | |
Von Bertalanffy | 182.70 | 0.492 6 | 0.010 3 | <0.000 1 | 25.17 | 0.999 8 | |
CG | Logistic | 229.80 | 1.324 8 | 0.096 7 | <0.000 1 | 146.00 | 0.999 3 |
Gompertz | 251.60 | 0.941 9 | 0.063 7 | <0.000 1 | 132.30 | 0.999 4 | |
Von Bertalanffy | 264.00 | 0.281 7 | 0.052 7 | <0.000 1 | 127.80 | 0.999 4 | |
AC | Logistic | 212.50 | 1.172 6 | 0.207 4 | <0.000 1 | 148.50 | 0.999 5 |
Gompertz | 217.70 | 0.813 7 | 0.159 2 | <0.000 1 | 118.10 | 0.999 6 | |
Von Bertalanffy | 220.10 | 0.241 5 | 0.143 1 | <0.000 1 | 111.00 | 0.999 6 | |
SC | Logistic | 19.35 | 0.953 1 | 0.181 8 | <0.000 1 | 2.30 | 0.999 1 |
Gompertz | 19.68 | 0.700 6 | 0.146 1 | <0.000 1 | 1.92 | 0.999 2 | |
Von Bertalanffy | 19.83 | 0.211 6 | 0.134 1 | <0.000 1 | 1.79 | 0.999 3 | |
HC | Logistic | 158.50 | 0.707 2 | 0.067 2 | <0.000 1 | 19.25 | 0.999 9 |
Gompertz | 168.80 | 0.598 8 | 0.047 6 | <0.000 1 | 19.12 | 0.999 9 | |
Von Bertalanffy | 174.00 | 0.189 1 | 0.041 0 | <0.000 1 | 18.73 | 0.999 9 |
表2 安格斯牛3种生长曲线模型参数估计值
Table 2 Estimated parameters of three growth curve models of Angus cattle
性状Traits | 模型Model | A | B | k | P value | SS | R2 |
---|---|---|---|---|---|---|---|
BW | Logistic | 585.90 | 6.459 8 | 0.178 2 | <0.000 1 | 6 397.00 | 0.992 6 |
Gompertz | 712.30 | 2.370 1 | 0.095 1 | <0.000 1 | 4 936.90 | 0.994 3 | |
Von Bertalanffy | 827.30 | 0.580 4 | 0.066 6 | <0.000 1 | 4 365.50 | 0.994 9 | |
BH | Logistic | 113.50 | 1.811 4 | 0.034 1 | <0.000 1 | 35.70 | 0.999 7 |
Gompertz | 131.10 | 1.512 1 | 0.014 7 | <0.000 1 | 35.71 | 0.999 7 | |
Von Bertalanffy | 156.40 | 0.475 3 | 0.008 2 | <0.000 1 | 35.71 | 0.999 7 | |
BL | Logistic | 160.10 | 2.029 3 | 0.043 7 | <0.000 1 | 25.28 | 0.999 8 |
Gompertz | 171.80 | 1.595 9 | 0.018 6 | <0.000 1 | 25.19 | 0.999 8 | |
Von Bertalanffy | 182.70 | 0.492 6 | 0.010 3 | <0.000 1 | 25.17 | 0.999 8 | |
CG | Logistic | 229.80 | 1.324 8 | 0.096 7 | <0.000 1 | 146.00 | 0.999 3 |
Gompertz | 251.60 | 0.941 9 | 0.063 7 | <0.000 1 | 132.30 | 0.999 4 | |
Von Bertalanffy | 264.00 | 0.281 7 | 0.052 7 | <0.000 1 | 127.80 | 0.999 4 | |
AC | Logistic | 212.50 | 1.172 6 | 0.207 4 | <0.000 1 | 148.50 | 0.999 5 |
Gompertz | 217.70 | 0.813 7 | 0.159 2 | <0.000 1 | 118.10 | 0.999 6 | |
Von Bertalanffy | 220.10 | 0.241 5 | 0.143 1 | <0.000 1 | 111.00 | 0.999 6 | |
SC | Logistic | 19.35 | 0.953 1 | 0.181 8 | <0.000 1 | 2.30 | 0.999 1 |
Gompertz | 19.68 | 0.700 6 | 0.146 1 | <0.000 1 | 1.92 | 0.999 2 | |
Von Bertalanffy | 19.83 | 0.211 6 | 0.134 1 | <0.000 1 | 1.79 | 0.999 3 | |
HC | Logistic | 158.50 | 0.707 2 | 0.067 2 | <0.000 1 | 19.25 | 0.999 9 |
Gompertz | 168.80 | 0.598 8 | 0.047 6 | <0.000 1 | 19.12 | 0.999 9 | |
Von Bertalanffy | 174.00 | 0.189 1 | 0.041 0 | <0.000 1 | 18.73 | 0.999 9 |
生长模型 Growth model | 拐点体重 Inflection point weight/kg | 拐点月龄 Inflection point age/month | 最大月增重 Maximum daily gain/kg |
---|---|---|---|
Logistic | 292.95 | 10.47 | 26.10 |
Gompertz | 262.04 | 9.07 | 24.92 |
Von Bertalanffy | 245.13 | 8.33 | 24.49 |
表3 安格斯牛3种模型对体重指标的相关估计值
Table 3 Relevant estimates of body weight indexes of Angus cattle in three models
生长模型 Growth model | 拐点体重 Inflection point weight/kg | 拐点月龄 Inflection point age/month | 最大月增重 Maximum daily gain/kg |
---|---|---|---|
Logistic | 292.95 | 10.47 | 26.10 |
Gompertz | 262.04 | 9.07 | 24.92 |
Von Bertalanffy | 245.13 | 8.33 | 24.49 |
性状 Traits | 月龄Month of age | ||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|
0 | 2 | 4 | 6 | 8 | 10 | 12 | 14 | 16 | 18 | ||
BW | B | 61.12 | 98.52 | 141.69 | 188.51 | 237.12 | 285.98 | 333.89 | 379.98 | 423.64 | 464.50 |
G/kg | — | 18.70 | 21.59 | 23.41 | 24.30 | 24.43 | 23.96 | 23.04 | 21.83 | 20.43 | |
R/% | — | 0.61 | 0.44 | 0.33 | 0.26 | 0.21 | 0.17 | 0.14 | 0.11 | 0.10 | |
BH | B | 88.57 | 92.53 | 96.55 | 100.62 | 104.72 | 108.87 | 113.06 | 117.28 | 121.54 | 125.82 |
G/cm | — | 1.98 | 2.01 | 2.03 | 2.05 | 2.07 | 2.09 | 2.11 | 2.13 | 2.14 | |
R/% | — | 0.04 | 0.04 | 0.04 | 0.04 | 0.04 | 0.04 | 0.04 | 0.04 | 0.04 | |
BL | B | 93.25 | 98.89 | 104.64 | 110.49 | 116.42 | 122.43 | 128.52 | 134.68 | 140.89 | 147.17 |
G/cm | — | 2.82 | 2.87 | 2.92 | 2.97 | 3.01 | 3.04 | 3.08 | 3.11 | 3.14 | |
R/% | — | 0.06 | 0.06 | 0.06 | 0.05 | 0.05 | 0.05 | 0.05 | 0.05 | 0.04 | |
CG | B | 97.84 | 109.81 | 121.39 | 132.48 | 143.02 | 152.98 | 162.32 | 171.04 | 179.16 | 186.68 |
G/cm | — | 5.99 | 5.79 | 5.55 | 5.27 | 4.98 | 4.67 | 4.36 | 4.06 | 3.76 | |
R/% | — | 0.12 | 0.11 | 0.09 | 0.08 | 0.07 | 0.06 | 0.05 | 0.05 | 0.04 | |
AC | B | 96.05 | 120.74 | 141.84 | 159.21 | 173.15 | 184.14 | 192.69 | 199.29 | 204.34 | 208.19 |
G/cm | — | 0.26 | 0.17 | 0.12 | 0.09 | 0.06 | 0.05 | 0.03 | 0.03 | 0.02 | |
R/% | — | 0.26 | 0.17 | 0.12 | 0.09 | 0.06 | 0.05 | 0.03 | 0.03 | 0.02 | |
SC | B | 9.72 | 11.68 | 13.34 | 14.72 | 15.83 | 16.72 | 17.42 | 17.97 | 18.40 | 18.73 |
G/cm | — | 0.98 | 0.83 | 0.69 | 0.56 | 0.44 | 0.35 | 0.27 | 0.21 | 0.17 | |
R/% | — | 0.20 | 0.14 | 0.10 | 0.08 | 0.06 | 0.04 | 0.03 | 0.02 | 0.02 | |
HC | L | 92.78 | 97.98 | 102.95 | 107.67 | 112.14 | 116.37 | 120.36 | 124.11 | 127.64 | 130.95 |
G/cm | — | 2.60 | 2.48 | 2.36 | 2.24 | 2.11 | 1.99 | 1.88 | 1.76 | 1.65 | |
R/% | — | 0.06 | 0.05 | 0.05 | 0.04 | 0.04 | 0.03 | 0.03 | 0.03 | 0.03 |
表4 安格斯牛生长发育指标计算结果
Table 4 Calculation results of growth and development indexes of Angus cattl
性状 Traits | 月龄Month of age | ||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|
0 | 2 | 4 | 6 | 8 | 10 | 12 | 14 | 16 | 18 | ||
BW | B | 61.12 | 98.52 | 141.69 | 188.51 | 237.12 | 285.98 | 333.89 | 379.98 | 423.64 | 464.50 |
G/kg | — | 18.70 | 21.59 | 23.41 | 24.30 | 24.43 | 23.96 | 23.04 | 21.83 | 20.43 | |
R/% | — | 0.61 | 0.44 | 0.33 | 0.26 | 0.21 | 0.17 | 0.14 | 0.11 | 0.10 | |
BH | B | 88.57 | 92.53 | 96.55 | 100.62 | 104.72 | 108.87 | 113.06 | 117.28 | 121.54 | 125.82 |
G/cm | — | 1.98 | 2.01 | 2.03 | 2.05 | 2.07 | 2.09 | 2.11 | 2.13 | 2.14 | |
R/% | — | 0.04 | 0.04 | 0.04 | 0.04 | 0.04 | 0.04 | 0.04 | 0.04 | 0.04 | |
BL | B | 93.25 | 98.89 | 104.64 | 110.49 | 116.42 | 122.43 | 128.52 | 134.68 | 140.89 | 147.17 |
G/cm | — | 2.82 | 2.87 | 2.92 | 2.97 | 3.01 | 3.04 | 3.08 | 3.11 | 3.14 | |
R/% | — | 0.06 | 0.06 | 0.06 | 0.05 | 0.05 | 0.05 | 0.05 | 0.05 | 0.04 | |
CG | B | 97.84 | 109.81 | 121.39 | 132.48 | 143.02 | 152.98 | 162.32 | 171.04 | 179.16 | 186.68 |
G/cm | — | 5.99 | 5.79 | 5.55 | 5.27 | 4.98 | 4.67 | 4.36 | 4.06 | 3.76 | |
R/% | — | 0.12 | 0.11 | 0.09 | 0.08 | 0.07 | 0.06 | 0.05 | 0.05 | 0.04 | |
AC | B | 96.05 | 120.74 | 141.84 | 159.21 | 173.15 | 184.14 | 192.69 | 199.29 | 204.34 | 208.19 |
G/cm | — | 0.26 | 0.17 | 0.12 | 0.09 | 0.06 | 0.05 | 0.03 | 0.03 | 0.02 | |
R/% | — | 0.26 | 0.17 | 0.12 | 0.09 | 0.06 | 0.05 | 0.03 | 0.03 | 0.02 | |
SC | B | 9.72 | 11.68 | 13.34 | 14.72 | 15.83 | 16.72 | 17.42 | 17.97 | 18.40 | 18.73 |
G/cm | — | 0.98 | 0.83 | 0.69 | 0.56 | 0.44 | 0.35 | 0.27 | 0.21 | 0.17 | |
R/% | — | 0.20 | 0.14 | 0.10 | 0.08 | 0.06 | 0.04 | 0.03 | 0.02 | 0.02 | |
HC | L | 92.78 | 97.98 | 102.95 | 107.67 | 112.14 | 116.37 | 120.36 | 124.11 | 127.64 | 130.95 |
G/cm | — | 2.60 | 2.48 | 2.36 | 2.24 | 2.11 | 1.99 | 1.88 | 1.76 | 1.65 | |
R/% | — | 0.06 | 0.05 | 0.05 | 0.04 | 0.04 | 0.03 | 0.03 | 0.03 | 0.03 |
图2 安格斯牛体重、体尺性状相对生长曲线和绝对生长曲线 BW,体重;BH,体高;BL,体斜长;CG,胸围;AC,腹围;SC,管围;HC,十字部高。
Fig.2 Relative growth curve and absolute growth curve of Angus cattle weight and body size BW, Body weight; BH, Body height; BL, Body length; CG, Chest girth; AC, Abdomen circumference; SC, Shin circumference; HC, Height at hip cross.
性状Traits | BW | BH | BL | CG | AC | SC | HC |
---|---|---|---|---|---|---|---|
BW | 1 | 0.982 7 | 0.990 5 | 0.994 8 | 0.969 5 | 0.971 3 | 0.984 2 |
BH | <0.000 1 | 1 | 0.993 9 | 0.984 3 | 0.956 3 | 0.941 0 | 0.990 6 |
BL | <0.0001 | <0.000 1 | 1 | 0.990 9 | 0.960 0 | 0.949 0 | 0.989 3 |
CG | <0.000 1 | <0.0001 | <0.000 1 | 1 | 0.980 6 | 0.978 8 | 0.985 4 |
AC | <0.000 1 | <0.000 1 | <0.000 1 | <0.0001 | 1 | 0.987 6 | 0.973 3 |
SC | <0.000 1 | <0.000 1 | <0.000 1 | <0.0001 | <0.000 1 | 1 | 0.964 5 |
HC | <0.000 1 | <0.000 1 | <0.000 1 | <0.0001 | <0.000 1 | <0.000 1 | 1 |
表5 安格斯牛体重与体尺性状间的相关性
Table 5 Correlation between body weight and body size traits of Angus cattle
性状Traits | BW | BH | BL | CG | AC | SC | HC |
---|---|---|---|---|---|---|---|
BW | 1 | 0.982 7 | 0.990 5 | 0.994 8 | 0.969 5 | 0.971 3 | 0.984 2 |
BH | <0.000 1 | 1 | 0.993 9 | 0.984 3 | 0.956 3 | 0.941 0 | 0.990 6 |
BL | <0.0001 | <0.000 1 | 1 | 0.990 9 | 0.960 0 | 0.949 0 | 0.989 3 |
CG | <0.000 1 | <0.0001 | <0.000 1 | 1 | 0.980 6 | 0.978 8 | 0.985 4 |
AC | <0.000 1 | <0.000 1 | <0.000 1 | <0.0001 | 1 | 0.987 6 | 0.973 3 |
SC | <0.000 1 | <0.000 1 | <0.000 1 | <0.0001 | <0.000 1 | 1 | 0.964 5 |
HC | <0.000 1 | <0.000 1 | <0.000 1 | <0.0001 | <0.000 1 | <0.000 1 | 1 |
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