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* Department of Animal and Poultry Science and
Department of Population Medicine, University of Guelph, Ontario N1G 2W1 Canada
Institute of Agricultural Biology and Biotechnology, National Research Council Segrate 20090 Italy
| ABSTRACT |
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Key Words: milk urea nitrogen genetic parameter
Abbreviation key: CTDM = Canadian test-day model, HTD = herd-test-day, IR = infrared, MUN = milk urea nitrogen, WC = wet chemistry
| INTRODUCTION |
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Development of tests to enable producers to diagnose metabolic problems to meet the needs of the transition or early-lactation cow in a cost-effective manner is the current focus of research into measures of protein and energy status. The collection across farms, organization, and analysis of data regarding these tests may, in turn, provide information about genetic factors associated with metabolic stress and may be used in selection decisions.
Levels of urea nitrogen in the milk, also known as milk urea nitrogen (MUN), is an example of a test that, along with other characteristics, may help indicate the level of metabolic stress a cow is encountering, particularly early in lactation (Eicher et al., 1999). The breakdown of dietary protein for energy results in the production of ammonia. Ammonia is highly toxic and must be converted to urea by the kidneys and liver. Urea is a nontoxic molecule of carbon, nitrogen, oxygen, and hydrogen. It may be present at very high levels without causing adverse effects to the health of the cow. Urea diffuses easily and is excreted from the body in the urine and milk. Urea is considered a normal component of milk and is part of the NPN found in milk (Ferguson, 2002). Levels of MUN are currently used as an indication of whether cows are consuming the proper quantities and proportions of protein and energy in their diets (Jonker et al., 1998). The concentration of MUN is known to vary with the amount of protein in the diet, amount of urine excreted, amount of water intake, and the amount of DMI (Ferguson, 2002). Concentrations of MUN may also differ even in cows consuming the same diet, due to genetic differences in the ability to metabolize protein, although to date no published studies have investigated this possibility.
The measurement and recording of MUN is important in estimating the protein nutrition of cows and aids in the identification of energy balance problems (Eicher et al., 1999). The potential exists for this information to be useful to producers from the genetic perspective and for management. To evaluate this potential, the magnitude of genetic and environmental factors that influence MUN must be determined.
The objectives of this study were: 1) to determine the effects of systematic environmental influences on MUN, and 2) to estimate genetic variances for MUN, including genetic correlations of MUN with yields of milk, fat, and yield. A test-day model was applied to data for the various traits and genetic effects were estimated using random-regressions.
| MATERIALS AND METHODS |
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The data were first edited to eliminate records with daily milk, fat, or protein yields >99, 9, and 6 kg, respectively. Records without information for yields were also deleted. A standard 305-d lactation length was imposed by removing all records with <5 or >305 DIM. Records were also eliminated if no registration number was present for a given cow, because for these animals no pedigree information would be available for the genetic analysis. Analyses of the MUN data were applied to only the first three parities and, therefore, data from later parities were also discarded. Ages at calving were required to be between 18 and 40, 28 and 49, and 40 and 68 mo in lactations one, two, and three, respectively. Following these edits, only those records from cows with at least four test-day records in a given lactation were retained for analysis, leaving an initial total of 45,134 records from 6704 cows.
Pedigree data.
The pedigree information used in this study was extracted from the database used for the national genetic evaluation of dairy traits in Canada, which had been provided by the Canadian Dairy Network (Guelph, Ontario). The 6704 unique cow registration numbers from the file of phenotypic records were matched to the national pedigree file, and only cows with a known sire were retained. Cows with discrepancies for sire or birth date between the two files were also removed, leaving 6102 cows (795 sires) in the dataset. Four generations of pedigree information was extracted from the national pedigree file. The addition of dams without records, sires, and four generations of ancestors resulted in a pedigree containing 14,375 animals.
The fully edited and coded pedigree was then matched back to the data file. The final data set used for the subsequent analyses contained 36,074 test-day records. Observations from different lactations were considered to be distinct traits. The data included 16,030; 12,196; and 7848 records from lactations one, two, and three, respectively.
Analyses
Environmental effects.
An ANOVA of the effects of certain systematic factors on test-day MUN was performed using the GLM procedure in SAS (SAS Institute Inc., 1990). The environmental factors that were considered for inclusion in the eventual genetic analysis were tested for significant contributions to the variation in MUN. Herd-test-days (HTD) were used to define contemporary groups. The numbers of HTD were 1496, 1509, and 1419 in lactations one, two and three, respectively. Three classes for age-at-calving (in mo) were established for each lactation (first: 18 to 24, 25 to 29, and 30 to 40 mo; second: 28 to 38, 39 to 41, and 42 to 49 mo; and third: 40 to 50, 51 to 57, 58 to 68 mo). Seasons of calving were summer (April to September) and winter (October to March). Stage of lactation was defined by 31 classes for DIM (<10, 1120, ..., 290300, ≥300). The following model was used to apply the test to data from each lactation separately:
![]() | ([1]) |
where yijkl = the observed value for MUN associated with record m of cow l; HTDi = the effect of HTD effect i; AS*DIM = the effect of the combination of the jth age-season and the kth class for DIM class; MYijkl = test-day milk yield for record m of cow l; FYijkl = test-day fat yield for record m of cow l, PYijkl = test-day protein yield for record m of cow l; bn = coefficients for the regression of MUN on test-day yields of milk (n = 1), fat (n = 2), and protein (n = 3); cowl = the random effect of the lth cow; and eijklm = residual error.
Genetic effects.
The estimation of genetic parameters of MUN was performed using three separate four-trait random regression models. Random regression models (RRM) were chosen for the genetic analysis of test-day data because RRM are able to model differences in genetic effects across time and, therefore, estimate unique lactation curves for every animal (Jamrozik and Schaeffer, 1997). Linear functions of both random and fixed coefficients and a set of covariates were used to describe the shape of individual curves (Jamrozik et al., 1997). The fixed regressions described the general shape of the curve for all cows belonging to a particular subclass for a given environmental effect, while the random regressions described the deviations (due to genetic and permanent environmental effects) of each cow from the fixed regressions. The Canadian Test-day Model (CTDM; Schaeffer et al., 2000) was used as template for the analysis of these data. The CTDM analyzes four traits (milk, fat, protein, SCS) in the first three lactations (for a total of 12 traits). Because these data were collected over a relatively short period of time, the number of animals with multiple records across lactations was insufficient to make the full CTDM feasible. With respect to the CTDM, the trait SCS was replaced by MUN and each of the first three lactations was analyzed separately. In addition, because fewer data were used in this study than in the CTDM, a more complex function could be used for the regression equations. The models used for the MUN analysis contained Legendre polynomials of order 4 as described by Jamrozik et al. (2002). In contrast, the CTDM has used a regression equation that has only three parameters (Schaeffer et al. 2000).
The observation vector for any animal on a given test-day can be represented by:
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The model equation for all four traits in each of the three lactations was the same. The following model was used:
![]() | ([2]) |
where yht:ijk is the record of cow k, for trait h, on DIM t, within herd-test-day effect i and belonging to age-season subclass j; HTDh:i is the herd-test date parity effect; ßh:jm are the fixed regression coefficients which are specific to each age-season of calving subclass (j) and trait (h); ah:km are the random regression coefficients for the additive genetic effects, which differ by trait (h) and are specific to each animal (k); ph:km are the random regression coefficients for the permanent environment of each animal (k) and trait (h); and finally, eht:ijk are the residual effects for each record. The covariates associated with DIM, ztm, were 4th order Legendre polynomials and were the same for both the fixed and random regressions and,
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where x = 2(DIM-5)/300-1 (DIM standardized in the interval from -1 to +1).
The age-season effects were assigned using the identical procedure as had been used for the analysis of fixed effects [equation 1
]. Specifically, six age-season groups were used per parity and were defined by combinations of two seasons and three age groups.
The distribution of random effects of animal (additive genetic) and permanent environmental effects was multivariate normal and were described by covariance matrices of order 20 (4 traits x 5 regression coefficients per lactation). Residual effects were assumed to be normally distributed with means of 0.0 and variances that depended upon DIM. Four periods of lactation were defined with different residual variances: 1) 5 to 45, 2) 46 to 115, 3) 116 to 265, and 4) 266 to 305 DIM, respectively. These periods were chosen based on the periods currently used in the CTDM for production traits (Schaeffer et al., 2000).
A Bayesian analysis was performed and Gibbs sampling was used to obtain marginal posterior distributions for the various parameters. The HTD effects were sampled from normal distributions; regression coefficients describing the effects of age-season, animal, and permanent environment were sampled from multivariate normal distributions; covariance matrices were sampled from Wishart distributions, and residual variances were sampled from inverted chi-square distributions.
Two chains of 100,000 cycles were run for first lactation to test convergence as indicated by the similarity of estimates from the two chains. Single chains of 100,000 iterates were then run for lactations two and three. The first 10,000 iterates of each chain were regarded as a burn-in period to allow sampling from the proper marginal distributions. The length of this burn-in period was determined by visually inspecting plots of sample values across rounds. The total number of iterations (100,000) was determined by previous research that applied a similar model to another set of data (our unpublished results, 2002).
The parameters of particular interest were heritabilities of the various traits and genetic correlations among the traits. Heritabilities of average yield and MUN levels over the lactation were calculated from genetic and permanent environmental variances of the first Legendre coefficient, (Vah:k0) and (Vph:k0), and weighted average residual variance, (Veht:ijk), with weights proportional to the lengths of the four periods for the residual variance (41, 70, 150, and 40 d), as follows:
![]() | ([3]) |
Only the first coefficient is necessary for this calculation of variances and heritability because of properties of Legendre polynomials. The residual variance causes deviations in heritability during different periods of the lactation, so this variability in residual variance must be accounted for in the calculation of the variance of each trait.
Genetic correlations (rg) between traits were calculated using equation [4]
:
![]() | ([4]) |
where Cov(ah:k0, ah':k0) is the covariance between the first genetic regression coefficients for two traits h and h', and V(ah:k0) and V(ah':k0) are the respective variances for the two traits.
| RESULTS |
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Environmental Effects
Table 2
has the P values of associated with the ANOVA of environmental effects on test-day observations of MUN in lactations one to three. The various environmental effects (and the cow effect) explained the majority of the variance in MUN, as the R2 of the model was between 0.84 and 0.86 for all three lactations. In all lactations, effects of HTD were highly statistically significant (P < 0.0001). The combined effects of age and season of calving and DIM was also important, particularly in first lactation. Figure 1
shows the trends in MUN across each lactation (based on Least Square Means averaged across the 3 age groups per lactation). As had been indicated by the overall raw means by lactation, MUN tended to be lower in first lactation than in second or third. No clear association was observed between MUN and age at calving within lactation (results not shown).
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No consistently strong relationship was observed between MUN and the various yield traits. Absolute values of raw phenotypic correlations between MUN and the yield traits in the different lactations were all <0.10 (results not shown). According to the ANOVA (Table 2
), relationships with MUN were significant (P < 0.05) for all three yield traits in first lactation, but regression coefficients were small. In later lactations, only protein yield in second lactation was significantly associated with MUN.
Genetic Parameters
Heritabilities.
Estimates (posterior means) of heritabilities of for the three yield traits and MUN in the three lactations are in Table 3
. Heritabilities of yield traits ranged from 0.35 (milk, lactation three) to 0.59 (fat, lactation two). These results are within the range of daily heritabilities previously reported for the Canadian Holstein population when a test-day model and random regressions were employed for estimation of genetic parameters (Jamrozik and Schaeffer, 1997). The heritabilities obtained for average daily levels of MUN were 0.44, 0.59, and 0.48 for lactations one, two, and three, respectively. Corresponding genetic standard deviations of MUN were 1.36, 1.30, and 1.12 mg/dl for the three lactations. Residual variances (no table shown) tended to be highest in early lactation and decreased as the lactation progressed, meaning that heritabilities increased with increasing DIM. All posterior means of heritabilities were at least five times greater than the respective posterior standard deviations and the posterior distributions did not include zero. These heritabilities are moderate to high and generally of the same magnitude as those obtained for the production traits. These results indicate that selection could be an effective approach for altering MUN.
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Genetic correlations.
The genetic correlations between MUN and milk production traits for the first three parities are summarized in Table 4
. For lactation one, the genetic correlations between MUN and milk (0.11), fat (0.01), and protein (0.04) yields were positive but close to zero. None of the posterior means for these correlations were greater than its posterior standard deviation, indicating essentially no genetic association between MUN and yield in first lactation. The genetic correlations in lactation two were higher than those for lactation one (ranging from 0.17 to 0.32), but posterior standard deviations were also greater, because fewer data were considered. Genetic correlation between the yield traits and MUN were inconsistent, being near zero for milk and protein and moderately positive for fat. These weak genetic relationships between yield and MUN suggest that selection to alter MUN concentrations would have little effect on yield, except to marginally decrease selection intensity.
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| DISCUSSION AND CONCLUSIONS |
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Questions remain, however, about the economic importance of MUN, from a genetic perspective. The direct economic value of MUN is unclear. Unlike SCC, milk producers do not receive price bonuses or penalties with respect to MUN. High levels of MUN are generally interpreted as an indication of inefficient utilization of protein, which is economically unfavorable. In theory, because the correlation between MUN and yield is low, selection for increased MUN could favor cattle that produce more milk with respect to the quantity of protein consumed. However, the rules about MUN and protein utilization are applicable on a herd level for management purposes, and extension to the genetics of protein utilization on the cow level may not be appropriate.
Even if MUN has little or no direct economic value, it may be useful in a selection program if it is genetically associated with another trait or traits of economic importance that are difficult to record. High values of MUN indicate an imbalance of protein and energy. Although this disequilibrium is often assumed to be associated with an excess of protein in the diet, logic suggests that it may also result from a relative deficiency of energy. Previous studies have demonstrated a link between negative energy balance and metabolic problems (Collard et al., 2000). Presence of metabolic disorders is an economically important trait that is difficult to measure and record on either a consistent and objective basis or on a continuous quantitative scale. For these reasons, and because metabolic disorders can be caused by a number of nongenetic factors, estimates of heritabilities of metabolic diseases have been low (e.g., Lyons et al. 1991, Uribe et al. 1995, Van Dorp et al. 1998), and direct selection to decrease their incidence has not been widely implemented. In reality, no clear link between MUN and metabolic diseases has yet been established, but this absence is at least partially due to a lack of studies designed to examine the presence of such a relationship.
If a genetic relationship exists between MUN and metabolic disorders, EBV for MUN could be used for indirect selection to decrease metabolic disorders. A similar approach is currently being applied by using EBV for SCC (SCS) to select indirectly for mastitis resistance. Because SCC and mastitis are genetically correlated but SCC is more highly heritable, indirect selection based on SCC is expected to be more efficient than direct selection (Strandberg and Shook, 1989) The trait MUN seems to be even more highly heritable than is SCC, so indirect selection using this trait seems possible.
A relationship between MUN and fertility has also been noted on the phenotypic scale (Butler et al., 1996, Rajala-Schultz et al., 2001). Butler et al. (1996) divided cattle into groups based on MUN and found that rate of pregnancy was reduced by 20% among the high group of cattle with MUN >19 mg/dl. Rajala-Schultz et al. (2001) used survival analysis to study the relationship between MUN and days to calving and conception. Cattle were assigned to various classes, based on their MUN scores in the month previous to conception. Compared to herdmates with MUN >15.4 mg/dl, cows with MUN levels below 10.0 were 2.4 times more likely to be confirmed pregnant in a subsequent exam. The advantage decreases as MUN increased, as cows with MUN levels between 10.0 and 12.7 mg/dl were only 1.4 times more likely to be confirmed pregnant than were cows with MUN >15.4 mg/dl. Assuming genetic factors play a role in this relationship between MUN and fertility, perhaps MUN can be used to improve the precision and accuracy of EBV for fertility, in addition to possibly providing a selection tool for metabolic disorders.
In conclusion, according to the results of this study, the heritability of MUN is similar to that of yield traits and no strong antagonistic correlations exist between MUN and various measures of yield. These factors make MUN a candidate for selection, except that the direct economic value of MUN is unclear. The most promising use of MUN could be as a tool for indirect selection for fitness. However, estimates of genetic relationships between MUN and health and fertility traits are currently not available. Future research on MUN should examine the genetic and phenotypic correlations between MUN and various fitness traits. Particular attention should be paid to relationships between MUN and traits related to fertility.
| ACKNOWLEDGEMENTS |
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Corresponding author:
P. Boettcher; e-mail:
boettch{at}ibba.cnr.it.
Received for publication January 29, 2003. Accepted for publication February 24, 2003.
| REFERENCES |
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