Acta Agriculturae Zhejiangensis ›› 2026, Vol. 38 ›› Issue (3): 460-470.DOI: 10.3969/j.issn.1004-1524.20250230
• Animal Science • Previous Articles Next Articles
LI Tianxiu1,2(
), LU Xubin2,3, YANG Zhangping2,3, XIAO Weiming2, ZHOU Fuzhen2, DONG Xinxing1, YIN Tong2,*(
), YAN Dawei1,*(
)
Received:2025-03-24
Online:2026-03-25
Published:2026-04-17
Contact:
YIN Tong,YAN Dawei
CLC Number:
LI Tianxiu, LU Xubin, YANG Zhangping, XIAO Weiming, ZHOU Fuzhen, DONG Xinxing, YIN Tong, YAN Dawei. Estimation of genetic parameters for lactation persistency in dairy cows in the Yangtze River Delta region and analysis of its genetic correlations with production and fertility traits[J]. Acta Agriculturae Zhejiangensis, 2026, 38(3): 460-470.
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URL: http://www.zjnyxb.cn/EN/10.3969/j.issn.1004-1524.20250230
| 牧场 Farm | 样本数 Number of samples | 日产奶量/(kg·d-1) Daily milk yield/(kg·d-1) | 最大值/(kg·d-1) Maximum/(kg·d-1) | 最小值/(kg·d-1) Minimum/(kg·d-1) |
|---|---|---|---|---|
| 1 | 229 797 | 32.26±6.74 | 76.72 | 2.01 |
| 2 | 73 627 | 30.74±7.90 | 79.97 | 2.20 |
| 3 | 72 210 | 31.89±6.87 | 78.75 | 2.80 |
| 4 | 66 582 | 36.62±7.86 | 65.33 | 3.12 |
| 合计Total | 442 216 | 32.60±7.36 | 79.97 | 2.01 |
Table 1 Descriptive statistics of daily milk yield in the initial lactation period
| 牧场 Farm | 样本数 Number of samples | 日产奶量/(kg·d-1) Daily milk yield/(kg·d-1) | 最大值/(kg·d-1) Maximum/(kg·d-1) | 最小值/(kg·d-1) Minimum/(kg·d-1) |
|---|---|---|---|---|
| 1 | 229 797 | 32.26±6.74 | 76.72 | 2.01 |
| 2 | 73 627 | 30.74±7.90 | 79.97 | 2.20 |
| 3 | 72 210 | 31.89±6.87 | 78.75 | 2.80 |
| 4 | 66 582 | 36.62±7.86 | 65.33 | 3.12 |
| 合计Total | 442 216 | 32.60±7.36 | 79.97 | 2.01 |
| 类型 Type | 模型 Model | 决定系数 R2 | 准确性 Accuracy | 均方误差 Mean square error |
|---|---|---|---|---|
| 非参数模型 Nonparametric model | 移动中值Rolling median | 0.830 | 0.471 | 8.268 |
| 移动均值Rolling mean | 0.839 | 0.486 | 7.796 | |
| 参数模型 Parametric model | Legendre多项式Legendre polynomials | 0.812 | 0.446 | 9.118 |
| AS模型AS model | 0.798 | 0.425 | 9.957 | |
| WIL模型WIL model | 0.755 | 0.386 | 11.715 |
Table 2 Fitting effects of different models on the lactation curve of primiparous dairy cows
| 类型 Type | 模型 Model | 决定系数 R2 | 准确性 Accuracy | 均方误差 Mean square error |
|---|---|---|---|---|
| 非参数模型 Nonparametric model | 移动中值Rolling median | 0.830 | 0.471 | 8.268 |
| 移动均值Rolling mean | 0.839 | 0.486 | 7.796 | |
| 参数模型 Parametric model | Legendre多项式Legendre polynomials | 0.812 | 0.446 | 9.118 |
| AS模型AS model | 0.798 | 0.425 | 9.957 | |
| WIL模型WIL model | 0.755 | 0.386 | 11.715 |
| 类型 Type | 模型 Model | 305 d产奶量/kg 305-day milk yield/kg | 遗传力 Heritability |
|---|---|---|---|
| 非参数模型 Nonparametric model | 移动中值Rolling median | 9 951.552±1 716.171 | 0.412±0.112 |
| 移动均值Rolling mean | 9 925.346±1 681.566 | 0.405±0.111 | |
| 参数模型 Parametric model | Legendre多项式Legendre polynomials | 9 909.985±1 692.761 | 0.437±0.114 |
| AS模型AS model | 9 901.119±1 691.612 | 0.410±0.111 | |
| WIL模型WIL model | 9 900.558±1 683.969 | 0.427±0.113 |
Table 3 Heritabilities of 305-day milk yield predicted by different models
| 类型 Type | 模型 Model | 305 d产奶量/kg 305-day milk yield/kg | 遗传力 Heritability |
|---|---|---|---|
| 非参数模型 Nonparametric model | 移动中值Rolling median | 9 951.552±1 716.171 | 0.412±0.112 |
| 移动均值Rolling mean | 9 925.346±1 681.566 | 0.405±0.111 | |
| 参数模型 Parametric model | Legendre多项式Legendre polynomials | 9 909.985±1 692.761 | 0.437±0.114 |
| AS模型AS model | 9 901.119±1 691.612 | 0.410±0.111 | |
| WIL模型WIL model | 9 900.558±1 683.969 | 0.427±0.113 |
| 模型 Model | 移动中值 Rolling median | 移动均值 Rolling mean | Legendre多项式 Legendre polynomials | AS模型 AS model | WIL模型 WIL model |
|---|---|---|---|---|---|
| 移动中值Rolling median | 0.999±0.001 | 0.998±0.022 | 0.999±0.001 | 0.999±0.020 | |
| 移动均值Rolling mean | 0.999±0.001 | 0.998±0.026 | 0.999±0.020 | 0.999±0.020 | |
| Legendre多项式Legendre polynomials | 0.985±0.004 | 0.985±0.004 | 0.998±0.022 | 0.998±0.027 | |
| AS模型AS model | 0.994±0.002 | 0.994±0.002 | 0.977±0.005 | 0.999±0.020 | |
| WIL模型WIL model | 0.996±0.002 | 0.996±0.002 | 0.980±0.004 | 0.993±0.003 |
Table 4 Genetic and phenotypic correlation coefficients of 305-day milk yield predicted by different models
| 模型 Model | 移动中值 Rolling median | 移动均值 Rolling mean | Legendre多项式 Legendre polynomials | AS模型 AS model | WIL模型 WIL model |
|---|---|---|---|---|---|
| 移动中值Rolling median | 0.999±0.001 | 0.998±0.022 | 0.999±0.001 | 0.999±0.020 | |
| 移动均值Rolling mean | 0.999±0.001 | 0.998±0.026 | 0.999±0.020 | 0.999±0.020 | |
| Legendre多项式Legendre polynomials | 0.985±0.004 | 0.985±0.004 | 0.998±0.022 | 0.998±0.027 | |
| AS模型AS model | 0.994±0.002 | 0.994±0.002 | 0.977±0.005 | 0.999±0.020 | |
| WIL模型WIL model | 0.996±0.002 | 0.996±0.002 | 0.980±0.004 | 0.993±0.003 |
| 遗传力 Heritability | 移动中值 Rolling median | 移动均值 Rolling mean | Legendre多项式 Legendre polynomials | AS模型 AS model | WIL模型 WIL model |
|---|---|---|---|---|---|
| LP1 | 0.133±0.059 | 0.147±0.064 | 0.136±0.060 | 0.113±0.054 | 0.122±0.057 |
| LP2 | 0.128±0.054 | 0.129±0.056 | 0.156±0.060 | 0.139±0.058 | 0.129±0.059 |
| LP3 | 0.198±0.069 | 0.198±0.068 | 0.203±0.067 | 0.228±0.076 | 0.190±0.071 |
| LP4 | 0.168±0.066 | 0.180±0.069 | 0.125±0.059 | 0.150±0.063 | 0.158±0.065 |
| LP5 | 0.216±0.072 | 0.216±0.072 | 0.215±0.019 | 0.238±0.079 | 0.211±0.076 |
Table 5 Heritabilities of lactation persistence calculated by different models
| 遗传力 Heritability | 移动中值 Rolling median | 移动均值 Rolling mean | Legendre多项式 Legendre polynomials | AS模型 AS model | WIL模型 WIL model |
|---|---|---|---|---|---|
| LP1 | 0.133±0.059 | 0.147±0.064 | 0.136±0.060 | 0.113±0.054 | 0.122±0.057 |
| LP2 | 0.128±0.054 | 0.129±0.056 | 0.156±0.060 | 0.139±0.058 | 0.129±0.059 |
| LP3 | 0.198±0.069 | 0.198±0.068 | 0.203±0.067 | 0.228±0.076 | 0.190±0.071 |
| LP4 | 0.168±0.066 | 0.180±0.069 | 0.125±0.059 | 0.150±0.063 | 0.158±0.065 |
| LP5 | 0.216±0.072 | 0.216±0.072 | 0.215±0.019 | 0.238±0.079 | 0.211±0.076 |
| 遗传力Heritability | LP1 | LP2 | LP3 | LP4 | LP5 |
|---|---|---|---|---|---|
| LP1 | 0.979±0.260 | 0.888±0.276 | 0.999±0.146 | 0.871±0.252 | |
| LP2 | 0.797±0.013 | 0.991±0.177 | 0.999±0.147 | 0.974±0.228 | |
| LP3 | 0.620±0.018 | 0.877±0.011 | 0.905±0.207 | 0.999±0.070 | |
| LP4 | 0.895±0.009 | 0.721±0.015 | 0.695±0.016 | 0.896±0.317 | |
| LP5 | 0.574±0.018 | 0.849±0.012 | 0.993±0.003 | 0.664±0.017 |
Table 6 Genetic and phenotypic correlation coefficients of lactation persistence between the rolling mean model
| 遗传力Heritability | LP1 | LP2 | LP3 | LP4 | LP5 |
|---|---|---|---|---|---|
| LP1 | 0.979±0.260 | 0.888±0.276 | 0.999±0.146 | 0.871±0.252 | |
| LP2 | 0.797±0.013 | 0.991±0.177 | 0.999±0.147 | 0.974±0.228 | |
| LP3 | 0.620±0.018 | 0.877±0.011 | 0.905±0.207 | 0.999±0.070 | |
| LP4 | 0.895±0.009 | 0.721±0.015 | 0.695±0.016 | 0.896±0.317 | |
| LP5 | 0.574±0.018 | 0.849±0.012 | 0.993±0.003 | 0.664±0.017 |
| 性状 Trait | 持续力 Persistency | 移动中值 Rolling median | 移动均值 Rolling mean | Legendre多项式 Legendre polynomials | AS模型 AS model | WIL模型 WIL model |
|---|---|---|---|---|---|---|
| 305 d产奶量 305-day milk yield | LP1 | 0.599±0.310 | 0.597±0.298 | 0.497±0.284 | 0.436±0.396 | 0.318±0.486 |
| LP2 | 0.696±0.214 | 0.717±0.290 | 0.619±0.209 | 0.668±0.218 | 0.383±0.346 | |
| LP3 | 0.736±0.154 | 0.746±0.150 | 0.730±0.147 | 0.763±0.133 | 0.676±0.186 | |
| LP4 | 0.524±0.663 | 0.503±0.253 | 0.658±0.487 | 0.603±0.255 | 0.565±0.244 | |
| LP5 | 0.756±0.140 | 0.765±0.136 | 0.753±0.133 | 0.808±0.112 | 0.743±0.151 | |
| 青年牛首配受孕率 First insemination conception rate in heifers | LP1 | 0.006±0.323 | 0.009±0.318 | -0.026±0.031 | -0.201±0.309 | -0.241±0.303 |
| LP2 | 0.206±0.322 | 0.239±0.317 | 0.289±0.285 | 0.157±0.320 | -0.205±0.306 | |
| LP3 | 0.367±0.251 | 0.339±0.265 | 0.381±0.249 | 0.350±0.263 | 0.059±0.312 | |
| LP4 | -0.096±0.303 | -0.076±0.298 | -0.091±0.342 | -0.145±0.302 | -0.074±0.311 | |
| LP5 | 0.400±0.231 | 0.407±0.232 | 0.408±0.232 | 0.303±0.279 | 0.123±0.309 | |
| 成年母牛首配受孕率 First insemination conception rate in cows | LP1 | 0.575±0.264 | 0.537±0.214 | 0.254±0.383 | 0.566±0.199 | 0.391±0.312 |
| LP2 | 0.373±0.297 | 0.478±0.241 | 0.376±0.292 | 0.666±0.207 | 0.383±0.309 | |
| LP3 | 0.221±0.326 | 0.269±0.311 | 0.131±0.348 | 0.467±0.247 | 0.265±0.317 | |
| LP4 | 0.687±0.185 | 0.721±0.169 | 0.704±0.223 | 0.325±0.310 | 0.326±0.310 | |
| LP5 | 0.195±0.322 | 0.248±0.309 | 0.118±0.335 | 0.383±0.213 | 0.170±0.285 |
Table 7 Genetic correlation coefficients between lactation persistency with 305-day milk yield and first insemination conception rate in heifers and cows
| 性状 Trait | 持续力 Persistency | 移动中值 Rolling median | 移动均值 Rolling mean | Legendre多项式 Legendre polynomials | AS模型 AS model | WIL模型 WIL model |
|---|---|---|---|---|---|---|
| 305 d产奶量 305-day milk yield | LP1 | 0.599±0.310 | 0.597±0.298 | 0.497±0.284 | 0.436±0.396 | 0.318±0.486 |
| LP2 | 0.696±0.214 | 0.717±0.290 | 0.619±0.209 | 0.668±0.218 | 0.383±0.346 | |
| LP3 | 0.736±0.154 | 0.746±0.150 | 0.730±0.147 | 0.763±0.133 | 0.676±0.186 | |
| LP4 | 0.524±0.663 | 0.503±0.253 | 0.658±0.487 | 0.603±0.255 | 0.565±0.244 | |
| LP5 | 0.756±0.140 | 0.765±0.136 | 0.753±0.133 | 0.808±0.112 | 0.743±0.151 | |
| 青年牛首配受孕率 First insemination conception rate in heifers | LP1 | 0.006±0.323 | 0.009±0.318 | -0.026±0.031 | -0.201±0.309 | -0.241±0.303 |
| LP2 | 0.206±0.322 | 0.239±0.317 | 0.289±0.285 | 0.157±0.320 | -0.205±0.306 | |
| LP3 | 0.367±0.251 | 0.339±0.265 | 0.381±0.249 | 0.350±0.263 | 0.059±0.312 | |
| LP4 | -0.096±0.303 | -0.076±0.298 | -0.091±0.342 | -0.145±0.302 | -0.074±0.311 | |
| LP5 | 0.400±0.231 | 0.407±0.232 | 0.408±0.232 | 0.303±0.279 | 0.123±0.309 | |
| 成年母牛首配受孕率 First insemination conception rate in cows | LP1 | 0.575±0.264 | 0.537±0.214 | 0.254±0.383 | 0.566±0.199 | 0.391±0.312 |
| LP2 | 0.373±0.297 | 0.478±0.241 | 0.376±0.292 | 0.666±0.207 | 0.383±0.309 | |
| LP3 | 0.221±0.326 | 0.269±0.311 | 0.131±0.348 | 0.467±0.247 | 0.265±0.317 | |
| LP4 | 0.687±0.185 | 0.721±0.169 | 0.704±0.223 | 0.325±0.310 | 0.326±0.310 | |
| LP5 | 0.195±0.322 | 0.248±0.309 | 0.118±0.335 | 0.383±0.213 | 0.170±0.285 |
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