Acta Agriculturae Zhejiangensis ›› 2022, Vol. 34 ›› Issue (1): 50-59.DOI: 10.3969/j.issn.1004-1524.2022.01.07
• Animal Science • Previous Articles Next Articles
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
CLC Number:
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.
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URL: http://www.zjnyxb.cn/EN/10.3969/j.issn.1004-1524.2022.01.07
| 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 |
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 |
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 |
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 | |
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 | |
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 |
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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