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* Sustainable Livestock Systems Group, Scottish Agricultural College, Bush Estate, Penicuik, Midlothian, EH26 0PH U.K.
Institute of Cell, Animal and Population Biology, University of Edinburgh, Ashworth Laboratories, Kings Buildings, Edinburgh, EH9 3JT U.K.
Roslin Institute (Edinburgh), Roslin, Midlothian, EH25 9PS U.K.
Faculty of Veterinary Medicine, Aristotle University, GR-54124 Thessaloniki, Greece
Corresponding author: E. Wall; e-mail: e.wall{at}ed.sac.ac.uk.
| ABSTRACT |
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Key Words: calving interval fertility insemination information
Abbreviation key: CI = calving interval, NR56 = nonreturn rate after 56 d, DFS = days to first service, INS = number of inseminations per conception, MILK = daily milk yield at d 110, MILK 305 = kilograms of milk over a 305-d lactation, FAT = kilograms of fat over a 305-d lactation, PROT = kilograms of protein over a 305-d lactation, LS = lifespan PTA, £PLI = profitable lifetime index, £PIN = production index
| INTRODUCTION |
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Ideally, female fertility indices include 1 or both of the following types of measurement: 1) a measure of conception success following insemination, and 2) reproductive rate measured by intervals, such as calving interval (CI). The heritabilities of these aspects of reproductive performance are low (typically <0.05); consequently, the reliability of bull evaluations for fertility is generally lower than other traits, such as milk production, when estimated from the same number of daughters. Information on the fertility of milking heifers is of particular interest because it is available when important decisions on progeny test bulls are made.
Even though direct recording of fertility in national milk recording schemes is generally more open to measurement error and is less widespread, fertility traits are genetically correlated with traits that are either well recorded or more heritable, such as yield (for a review, see Pryce and Veerkamp, 2001), condition score (Pryce et al., 2000), BW (Berry et al., 2003), and linear type traits (Harrison et al., 1990). As a result, direct measures of fertility (calving interval, insemination data) and records on correlated traits, such as yield and condition score, can be used to supplement the predictions of genetic merit for fertility. The use of yield and condition score is beneficial because they can help overcome management biases that may be present in the fertility data. The correlation between milk yield and fertility is not one, therefore a favorable selection response in fertility can be achieved while still achieving gains in milk production. However, there are costs in loss of progress in milk production (Veerkamp et al., 2000). This suggests that milk yield and fertility traits need to be optimized within an overall economic index.
Calving interval has a relatively high economic weight (Groen et al., 1997), and a reduction in CI could be described as one of the outcomes of improved fertility. However, CI requires a record of consecutive calving dates and is therefore only available after a second calving. Relying on CI alone would delay selection decisions on young test bulls. Furthermore, CI is open to management bias (e.g., decisions to extend the lactation length of individual high-yielding cows within herds). Early measures on components of CI can be useful in overcoming some of these problems. For example, days to first service (DFS) are available much earlier and have been shown to be heritable (de Jong, 1997; Evans et al., 2002) and strongly correlated to CI (de Jong, 1997).
Kadarmideen and Coffey (2001), in an analysis of U.K. insemination data, showed that only about 10% of herds that participate in herd milk recording had all the expected service dates, and over 15% of herds failed to record almost all services. Missing records occur for different reasons (e.g., inseminations not being recorded by the producer or the producer failing to report all successful or unsuccessful services to milk recorders). Because of these characteristics of insemination data, careful editing is required before insemination data can be used to derive fertility proofs (Kadarmideen and Coffey, 2001).
A further use of insemination data is the derivation of the pregnancy status of a cow 56 d after first insemination, commonly known as nonreturn rate at d 56 (NR56). This trait reflects the ability of a cow to maintain a pregnancy over the period of early gestation. Nonreturn rate at d 56 is internationally recommended and widely used (Groen, 1999), and is an important trait for allowing international comparisons. The number of inseminations required to produce a calving (INS) is closely related to the goal of improving fertility and has a clear economic interpretation. It suffers from the same limitations as CI, in that it is necessary to have a second calving and it relies on consistent recording, as all inseminations need to be recorded.
The objective of this study was to develop the framework necessary for a national fertility index using records on fertility and the correlated traits of yield and BCS. This required 1) estimation of the necessary genetic parameters for fertility, yield, and BCS, 2) development of statistical models for producing sire PTA for these traits, and 3) examination of the relationship between these and other functional and production PTA.
| MATERIALS AND METHODS |
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Previous analyses have shown that correlations of different yield traits (e.g., 305-d yield, milk fat or milk protein yield, individual test yields) with CI were all unfavorable and did not statistically differ from each other (Brotherstone et al., 2002). The yield trait chosen was daily yield of milk at the test nearest to d 110 (MILK) because this is close to the average day when cows become pregnant and approximates the minimum of 3 tests required for including heifer records in production evaluations. Body condition score is genetically unfavorably correlated with CI (Pryce et al., 2000). Body condition score observed during the first lactation was chosen and was recorded in the field on a scale of 1 to 9, where 1 = thin and 9 = fat, for animals participating in the type classification scheme operated by Holstein U.K. This score was adjusted for recording officer by scaling records so that individual field officer standard deviations were equal to the mean standard deviation of all field officers (Jones et al., 1999).
Genetic Parameter Estimation
Insemination, calving, BCS, and milk yield records of first-parity Holstein cows were extracted from the databases of National Milk Records plc and Holstein U.K. All cows had calved between 1997 and 2000 and were required to have complete 305-d lactation yield records with at least 7 tests included. Lactation records were excluded if 1 of the following occurred 1) age at calving was outside the range of 18 to 36 mo, 2) daily milk yield was less than 5 kg or greater than 60 kg, 3) milk yield was less than 1000 kg for the complete lactation, 4) the date of BCS was more than 20 d from the date of a milk record, 5) CI was outside the range of 300 to 600 d, and 6) first insemination was before d 20 or the last insemination was after d 200. Further, herd-year combinations were required to have a minimum of 5 observations and sires had to have at least 10 daughters. After these edits, there were 43,029 cow records in 7029 herd-year subclasses from 1390 sires; 75% of the cow records had CI and 30% had BCS.
The data were analyzed with REML analyses to estimate the variance components using VCE4 (Neumaier and Groeneveld, 1998). Hexavariate analyses were run for CI, BCS, MILK, DFS, NR56, and INS. A linear model was fitted that included sire as a random effect. The sires sire and his maternal grandsire were specified in a truncated pedigree file:
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where Pijk = CI, DFS, NR56, or INS; Tijk = MILK; Vijk = BCS; hsi = fixed effect of ith herd x year of calving interaction; hsci = fixed effect of ith herd x year of visit interaction on BCS; monthj = fixed effect of the jth month of calving; ß1 and ß2 = linear and quadratic regression coefficients of dependent variable (P, T, or V) on age effect or days in milk at test effect; Xage = continuous variable representing age of animal at calving; XDIM_T = continuous variable representing days in milk at test; XDIM_C = continuous variable representing days in milk at BCS measurement visit; sirek = the random genetic effect of sire k; and eijk = residual random error term.
Predicted Transmitting Ability Estimation
Data for the multivariate genetic analysis of bulls for the fertility traits were extracted from the Cattle Information Services, National Milk Records, and Holstein U.K. databases. Records for first-lactation animals with at least 3 tests were taken from 1992 until the end of 2002 because individual test-day records were only available for all animals from 1992. Lactation records were excluded if they failed to meet 1 of the following criteria: 1) age at first calving was between 18 and 40 mo, 2) a test-day record was available between d 80 and 140 of lactation (for MILK at 110 d), with milk yield between 5 and 60 kg, 3) if a second calving occurred, the calving interval was between 300 and 600 d, 4) if insemination information was present, the first insemination was recorded by d 200, and 5) BCS was recorded by d 400 of lactation. Animals with more than 10 inseminations were removed.
A total of 1,828,389 first-lactation records remained after editing. Over 68% of cows had a CI, over 13% had BCS information, and 89% had at least one insemination record, with 65% having a record for INS. There was a total of 27,718 sires with daughters in the dataset and over 50,000 animals in the pedigree file. Genetic groups were fitted for all unknown parents, using 24 genetic groups. Assignment to genetic groups was based upon sex, year of birth, breed (Holstein separate from Friesian), and country of origin for Holsteins (e.g., Canada or United States). If the number of animals in each group was low (less than 20), similar genetic groups were combined.
Multitrait BLUP PTA were estimated using the PEST program (Groeneveld et al., 1990) fitting a sire maternal-grandsire model and using genetic parameters obtained as described above. The full linear model differed slightly from that used for parameter estimation, with herd x year x season replacing herd x year interaction. Each PTA was adjusted by subtracting a base value equal to the average PTA of those Holstein bulls born between 1984 and 1993 that had a reliability of 30% or more for CI. This genetic base is analogous to that used for type proofs in the United Kingdom.
Genetic Relationships Between Fertility and Other Traits
Correlations of the PTA of the fertility traits with other available PTA were calculated. The latter included PTA for 305-d yields of milk (MILK 305), fat (FAT), and protein (PROT), lifespan (LS), and SCC. Lifespan is estimated directly from completed lactation information and indirectly from type traits (Brotherstone et al., 1997). Somatic cell count PTA are produced using an animal model and information from the first 3 lactations (Mrode et al., 1998). Correlations of the PTA for fertility with 2 economic indices were also calculated: an economic index for production (£PIN) combining MILK 305, FAT, PROT, and an economic index for profitable life (£PLI), combining £PIN and LS. The PTA for each pair of traits had to have a reliability of at least 80% for inclusion in the calculation of correlations.
Genetic correlations were estimated from the correlations between the PTA and the reliability of the PTA (Hickman et al., 1969; Calo et al., 1973):
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where REL1 and REL2 = reliabilities of the PTA of trait 1 (the fertility trait analysis, CI, DFS, NR56, INS, BCS, MILK) and trait 2 (other traits, MILK 305, FAT, PROT, LS, SCC, £PIN, £PLI), and r1,2 = correlation between the PTA for traits 1 and 2.
| RESULTS |
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Predicted Transmitting Ability Estimation
The mean, standard deviation, and range of sire PTA for the 6 traits are presented in Table 3
, with distributions of PTA shown in Figure 1
. The sire PTA for CI fall within the range of those seen in other studies (e.g., Olori et al., 2002) with 95% of bulls lying in a 10-d range (-5 to 5 d). The full range of PTA for the interval trait DFS was 16 d, but 95% of bulls had PTA in a 7-d range (-3 to 4 d). The range of PTA for NR56 appears to be narrow (0.14) but is biologically significant when describing a binary trait. The range of INS PTA is quite wide (0.3 of an insemination), especially when the average number of inseminations in this dataset was 1.66.
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| DISCUSSION |
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There is a high correlation between the PTA for all traits in the analysis, and these correlations tended to be higher than the genetic correlations used in estimating the PTA. Ideally, the correlation between the PTA should be similar to the genetic correlations used to estimate them. If the correlation between PTA is significantly different from the genetic correlation, it is indicative of both differential reliability and the weight of information coming from the traits used to estimate the PTA of that trait. The genetic correlation, used for obtaining PTA, is the correlation between true breeding values and is akin to the correlation between PTA with very high reliabilities. As the reliability of the PTA drops, the correlation between them will be an underestimate of the magnitude of the genetic correlation. In a multitrait analysis, information on all traits is used to estimate the PTA of each trait. In this example, if there were no information on fertility, the correlation between the PTA would be expected to move away from the genetic correlation to +1 or -1 with yield, and hence be an overestimate of the genetic correlation. The genetic correlations between the direct measures of fertility and the correlations between the PTA for fertility traits are similar, but not the same. The correlations between the direct fertility measures and the correlated traits are generally slightly greater in magnitude than the genetic correlations (although distinct from +1 or -1), suggestive of their influence on the PTA. The most extreme difference can be seen in the genetic correlation between MILK and CI (0.27) and the correlation between the PTA of CI and MILK (0.48). The clear substantial movement away from + or -1 toward the genetic correlation indicates the much better discrimination made possible by the inclusion of BCS and insemination data.
There is a favorable genetic relationship between the traditional fertility traits, suggesting that improving 1 trait will have a favorable correlated response on them all. For example, decreasing CI by 10 d will reduce NR56 by 2.4%. There is also a favorable relationship between lifespan PTA and the fertility PTA. However, the inclusion of LS with £PIN in £PLI made little difference to the correlation of these indices with the fertility traits. This suggests that there will be little or no favorable indirect correlated response in fertility as a result of selection on £PLI. The correlation between the fertility traits and lifespan was moderately favorable and suggests that lifespan will increase by 0.27 of a lactation for a 10-d decrease in calving interval and 0.23 of a lactation for a 10% improvement in conception rate (therefore less inseminations). New index developments in the future may lead to the inclusion of fertility traits in the national economic index, and its use should lead to a reduction in the rate of decline of fertility traits in the United Kingdom. The approximate genetic correlation between SCC and the fertility traits was relatively low but suggested that decreasing CI by 10 d and improving conception rate by 10% would reduce SCC by 3.7 and 4.4%, respectively. Future index development may lead to a multivariate analysis of these traits for inclusion in a multitrait index of production, health, longevity and fertility traits.
It is important to note the high and unfavorable correlation between BCS and production traits (e.g., MILK 305) in Table 4
, indicating that sires with higher production proofs will tend to have daughters with lower body condition (Pryce et al., 2000). This lower condition at high yield levels will result in daughters being in greater negative energy balance and may lead to a reduction in fertility and health in these daughters, as seen by the correlation between BCS and fertility traits in Table 2
. This negative energy balance has major management costs for fertility and health, as well as losses due to involuntary culling (Collard et al., 2000). The inclusion of BCS information or a direct measure of energy balance (Coffey et al., 2002) in a multitrait selection index with fertility, longevity, and production could help to improve the body energy status of cows.
The milk trait used as a correlated trait in this analysis was kilograms of milk at d 110, which is approximately the time of peak yield. This trait was chosen as the correlated milk yield trait as it is also approximately when cows become pregnant. Milk production PTA are based on 305-d (complete) lactation yields as opposed to a single point measurement during lactation. Brotherstone et al. (1997) estimated that the genetic correlation between LS (unadjusted) and first-lactation milk yield was 0.54. This is expected to be an overestimate of the correlation between 305-d milk yield and functional (adjusted for within herd milk yield) LS, and simple calculations using the phenotypic linear regression on milk yield on unadjusted LS would suggest a value of 0.21. The approximate genetic correlation between functional LS and milk at d 110 was -0.31 (Table 4
). The correlation of -0.31 between 110-d milk yield and LS implies that an increased peak milk yield is associated with a decreased LS, whereas a high complete lactation yield results in increased functional LS. This indicates that persistent lactations with flatter curves may be associated with longer LS.
To address the continuing decline in fertility, health, and longevity, it is clear that breeding goals need to be broadened. However, optimized economic indices, which lead to the combination of traits to optimize profit, may not put enough weight on the nonproduction traits for any major improvement to be made in them. As the number of traits recorded increases, there is the potential for selection indices to be customized for different sectors of the dairy industry (e.g., organic farming vs. conventional farming). Future breeding objectives may be driven not only by the economics of selling milk, but by welfare, environmental issues, and consumer needs, which can have an implied economic impact on a production system. In this case, it may be necessary to move to a desired gains selection index to reflect unquantifiable consumer requirements.
| CONCLUSIONS |
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| APPENDIX |
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The data were validated by predicting the date of successful insemination or the predicted date of pregnancy. Where possible, this date was back-predicted from the date of second calving by subtracting the gestation length (280 d). The insemination information was also validated using the date of last data extraction for that animal. With these 2 dates, a number of validation rules were tested and applied, which were:
| ACKNOWLEDGEMENTS |
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Received for publication May 23, 2003. Accepted for publication August 13, 2003.
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