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University of Aarhus, Faculty of Agricultural Sciences, Department of Genetics & Biotechnology, Research Centre Foulum, DK-8830 Tjele, Denmark
1 Corresponding author: mogens.lund{at}agrsci.dk
| ABSTRACT |
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Key Words: quantitative trait locus mastitis and milk yield udder conformation Bos taurus
| INTRODUCTION |
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The genetic correlation between SCS and CM has been found to be in the range of 0.3 to 0.8, with an average of 0.6 (Heringstad et al., 2000). Measuring CM in early lactation and using a measure of SCS deviance from a normal curve, the correlation was 0.8 under Danish conditions (Lund et al., 1999). The studies indicate that SCS and CM are both measures of udder health, but do not have the same genetic basis. They may reflect different aspects of defense mechanisms against pathogens. In particular, elevated SCS indicates increased SCC for a longer period, such as during a Staphylococcus aureus infection, whereas infections of short duration, such as those by Escherichia coli, are better detected using CM. Nevertheless, the relatively high genetic correlation implies that a fraction of significant QTL should affect both SCS and CM. However, in studies where only SCS is studied there is no way of knowing whether a particular SCS QTL has a pleiotropic effect on CM. A genome scan for QTL affecting CM in a large granddaughter design for Holstein would be beneficial to verify whether the many QTL for SCS identified in Holstein also affect CM.
In Denmark, breeding for improved mastitis resistance is performed using a multi-trait index combining information on treatment for mastitis in first, second, and third lactations and the correlated indicator traits SCS, dairy form, and udder conformation. It is important to dissect the effect of a given QTL to include the QTL information with the proper weight on the different traits in a multi-trait BLUP evaluation, because a given QTL may affect only some of the traits.
Mastitis resistance is genetically correlated to milk production traits, which are the most important traits economically. It is therefore essential to investigate if a given QTL that increases resistance to mastitis also has an effect on milk production traits. If a chromosomal region is found to affect both traits, it is important to know if the effects are caused by 1 pleiotropic QTL affecting both traits or result from linked genes each affecting 1 trait. In the latter situation, one may select for recombinant animals and thereby break unfavorable correlations due to the linkage.
The aim of the study was 1) to detect QTL across the cattle genome that influence the incidence of clinical mastitis and SCS in Danish Holstein, and 2) to characterize these QTL for pleiotropy vs. multiple linked QTL when chromosomal regions affecting clinical mastitis also affected other traits in the Danish udder health index or milk production traits.
| MATERIALS AND METHODS |
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Markers and Maps
Markers and their positions were chosen from the Web site of the Meat Animal Research Center (http://www.marc.usda.gov/genome/genome.html). All 29 autosomes were covered by using 356 microsatellite markers with an average marker spacing of 8.60 cM. Markers and positions are given in Table 1
. The PCR reactions were analyzed on an automated sequence analyzer (ABI 3730 DNA Analyzer, Applied Biosystems, Foster City, CA) and the alleles were assigned with the GeneMapper software, version 3.7 (Applied Biosystems). The software GDQTL (B. Guldbrandtsen, personal communication) was used to check the genotype data for segregation distortion, to check the observed rate of recombinations between markers against expectations based on public map positions, and for construction of haplotypes (results not shown).
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Yield Traits
For each of the traits milk yield, protein yield, and fat yield, a single-trait index (MI, PI, and FI) was calculated using a repeatability model over the first 3 lactations (http://www-interbull.slu.se/national_ges_info2/framesida-ges.htm). The number of records was 2,017 for SCS and 2,037 for milk and udder conformation traits.
QTL Analysis
A series of analyses was performed. Initially, the udder health traits were analyzed with a multipoint regression approach for across- and within-family analysis. For chromosomes where chromosome-wise significance was obtained in across-family analysis for clinical mastitis, further analyses were performed. First, yield traits were analyzed with regression models. Second, 2 trait models were fitted using a variance component method for combinations of traits that were significant on these chromosomes. The models fitted were designed to distinguish if the identified QTL was most likely 1 QTL affecting both traits (pleiotropy) or 2 linked QTL, each affecting 1 trait.
Regression Analysis.
Population allele frequencies at the markers were estimated from the sons maternally inherited chromosomes and grandsire chromosomes by using an expectation-maximization (EM) algorithm. Allele frequencies were subsequently assumed known without error. Phase in the sires was determined based on offspring marker types and subsequently assumed known without error. Segregation probabilities at each map position were calculated using information from all markers on the chromosome simultaneously and applying Haldanes mapping function (Haldane, 1919). When it was not possible to distinguish unambiguously whether an allele was inherited from the sire or the dam, the allele frequencies were used to calculate the segregation probabilities. Phenotypes were regressed onto the segregation probabilities. Chromosome-wise significance thresholds were calculated using permutation tests performing 1,000 permutations (Churchill and Doerge, 1994). A chromosome-wise significance level of 5% was considered significant. In addition, genome-wise false discovery rates (FDR) were estimated for each QTL using the method of Storey and Tibshirani (2003) as implemented in the qvalue package version 1.1 in the statistical package R (http://cran.r-project.org/web/packages/qvalue/).
Multi-Trait Analysis.
For chromosomes affecting clinical mastitis and at least 1 more trait, a multi-trait analysis was performed to compare whether the data were better described by a single QTL affecting both traits or by 2 linked QTL each affecting 1 trait. Description of those models can be found in Lund et al., (2003); however, in the present study, we do not include linkage disequilibrium information.
The pleiotropic and linked QTL models can be written as
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where y is an n x t vector of observations on t = (1,2) traits and n animals; X is a design matrix; β is a vector of fixed effects; Z is a matrix relating records to individuals; u is a vector of additive polygenic effects; W is a matrix relating each individuals record to its QTL effect; qi is a vector of additive QTL effects corresponding to the ith QTL; and e is a vector of residuals. The number of QTL, nqtl, is either 1 or 2. The random variables u, q, and e are assumed multivariate normally distributed and mutually uncorrelated. Specification of pleiotropic and linked QTL models can be seen in Lund et al. (2003). The variance components were estimated using the average information REML algorithm (Jensen et al., 1997) implemented in the software package DMU (Madsen et al., 2006). The restricted likelihood was maximized with respect to the variance components associated with the random effects in the model. Maximizing a sequence of restricted likelihoods over a grid of specific positions yielded a profile of the restricted likelihood for the QTL position.
To obtain computational efficiency and stability, an exhaustive search for linked QTL was avoided by fitting the linked QTL model in maximal likelihood estimates of positions given by the corresponding single trait models. The pleiotropic models were run to cover the region spanning the 2 positions of the linked QTL model.
Model Selection Between Pleiotropic and Linked QTL Models
The pleiotropic and linked QTL models cannot be compared using likelihood ratio tests because the models are not nested. Therefore, the Bayesian information criterion (BIC; Schwarz, 1978; Kass and Raftery, 1995) was used to evaluate which model was superior. The 2 models incorporate the same number of parameters and, consequently, the BIC simplifies to

If the 2 models are assumed equally likely a priori, the result using this criterion is an approximation to the posterior probability of the pleiotropic model relative to the posterior probability of the linked QTL model (Bayes factor). Another less formal criterion used to indicate which model is more likely, is the estimated correlation between QTL effects on the 2 traits (rQ12) from the pleiotropic model. The rationale behind using rQ12 is that if the 2 traits are under influence of a biallelic pleiotropic QTL, the true value of rQ12 will be 1.
| RESULTS |
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Pleiotropy vs. Linkage
In situations where a chromosomal region was found to affect clinical mastitis and at least 1 of the correlated traits, it was tested in 2-trait models. This was done to determine whether a model with 1 pleiotropic model affecting both traits or 2 linked QTL each affecting 1 trait was more probable. The multi-trait models gave some tendencies but generally not highly conclusive evidence to distinguish between linkage and pleiotropy of different QTL (Table 3
). The strongest result was on BTA5 where the pleiotropic model for CM2 and CM3 was 1,820 times more likely than a linked QTL model. For the remaining chromosomes, the direct model comparisons were inconclusive.
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On BTA6, the correlation between QTL effects on SCS and CM2 from a modeled pleiotropic effect was near unity, and in the linkage model, the estimates of the 2 QTL positions were close. This result is in concordance with a biallelic pleiotropic QTL, which may therefore be regarded as the most likely situation.
On BTA9, the most probable model was a pleiotropic QTL affecting CM1 and CM2 at approximately 8 cM. The evidence for pleiotropy of the QTL is given in part by limited evidence from the Bayes factors and in part from the fact that the correlation between QTL effects on CM1 and CM2 was unity in the pleiotropic model.
The multi-trait analyses for BTA26 did not provide useful information to distinguish between models. All Bayes factors were in the range between 0.77 and 10.0 and correlations were mostly intermediate. Also, no clear pattern was found among the different 2-trait models.
| DISCUSSION |
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Somatic cell score is moderately correlated to CM and to some degree expresses the same response to infection by mastitis pathogens. From the 6 regions affecting CM, 2 (BTA5 and BTA6) also affected SCS. This total is less than expected based on the moderate genetic correlation between the traits. Some evidence has been reported in the literature that the remaining chromosomes may affect SCS. Significant effects were found by Boichard et al. (2003) and Holmberg and Andersson-Eklund (2004) on BTA9; by Holmberg and Andersson-Eklund (2004), Schulman et al. (2004), and Zhang et al. (1998) on BTA11; by Boichard et al. (2003) on BTA15; and by Zhang et al. (1998) on BTA26. However, our study found very little evidence except for BTA15, which, with a P-value of 0.1, is approaching significance. To some degree, the lack of coincidence may be explained by differing effects of a QTL over lactations. For instance, the QTL on BTA11 seemingly had very little effect in first lactation, where it was not detected for either CM1 or SCS. The P-values decrease for each lactation for this QTL, reaching significance in the third lactation.
For BTA5, the result already appeared to be quite reliable, as the putative QTL affected CM in both the second and third lactations. Chromosome 5 is the only chromosome with substantial evidence from the Bayes factors to distinguish between pleiotropy and linkage. The best supported model is with 1 QTL affecting CM2, CM3, and SCS and a linked QTL affecting FI. The phase between the 2 QTL is such that individuals carrying the positive QTL allele for CM have a high probability to carry the negative QTL allele for FI. However, according to our position estimates, the 2 QTL are about 30 cM apart. This distance is sufficiently large to select for recombinant individuals that are positive for the QTL affecting CM as well as the QTL affecting FI. By doing so, one should be able to alter the genetic correlation between the traits to be less antagonistic. Bos taurus autosome 5 has been found to be significant for SCS in an overlapping region in North American Holstein-Friesians (Heyen et al., 1999).
There was insufficient evidence to distinguish pleiotropy from linkage on BTA6. The small distance between the 2 positions in the linkage model and a high correlation of 0.99 between QTL effects on SCS and CM3 indicate that it may be a pleiotropic QTL. Yield traits were not included in multi-trait analyses on BTA6, even though there is strong evidence from the literature that this chromosome affects yield traits. In Ku
erová et al. (2006), which is based in part on the same data as the present paper, significant effects were also found on BTA6. However, this was only for protein percentage and fat percentage in single-trait analyses or similarly for protein and fat yield when adjusted for milk yield in multi-trait models. In the current paper, we only analyzed the yield traits that are currently selected for and only in single-trait models, which were not significant. On BTA9, little evidence was found to distinguish linkage from the pleiotropic models. However, the best supported model was a pleiotropic QTL affecting CM1 and CM2 at approximately 8 cM. The ability to distinguish between pleiotropic and linkage models is related to the number of informative markers between any linked QTL. In general, only a very limited number of informative markers were available between the estimated QTL positions from single trait models. With an average distance of 8.6 cM between markers, and an average distance at about 17 cM estimated in 2-trait linkage models (Table 3
), there would rarely be more than one informative marker between the putative QTL. This is probably the limiting factor in our ability to separate the models.
For SCS, 8 of the joint family QTL analyses were found to be significant chromosome-wide. Among these QTL, only 2 regions affected CM. This total is less than expected given the relatively high genetic correlation between the traits. The genetic correlation between SCS and CM is in the range of 0.48 to 0.56 (Danish Cattle Federation, 2006). This may reflect that SCS is measured in the first 180 d only, whereas cases of CM are included for 305 d. Therefore, cases after 180 d will not result in increased SCS. Generally, however, there are only a few cases of CM in the later part of the lactation, so it is not expected to be a major reason. Another reason could be a relatively low power to detect QTL for clinical mastitis. As an example, on BTA22, 3 families were segregating (chromosome-wise 5% significance within families) for SCS, which results in a significant combined effect across families. However, on CM2 there are also 3 families segregating, and 2 of the families are the same as for SCS. This increases the credibility of the QTL and indicates that it is less likely to get significant results for CM. Nevertheless, in populations where only SCS is available, it is not possible to evaluate which QTL affect CM and which QTL only affect SCS. As we are analyzing for both CM and SCS, the present analyses may help to indicate if SCS QTL from the literature can also be expected to affect CM. For example, BTA5 has previously been found to affect SCS in North American Holstein-Friesians. In our study, a pleiotropic QTL affecting SCS and CM was found in this region, which indicates that the QTL previously found may indeed affect CM. The results on BTA23 confirm the segregation of SCS QTL from several studies (Reinsch et al., 1998; Heyen et al., 1999; Klungland et al., 2001; Ashwell et al., 2004). However, for this QTL, there is no evidence that it would affect CM. In our study, none of the families segregating for SCS also segregated for a CM QTL. Also, there were no more significant family results than what would be expected under the null hypothesis of no segregating QTL.
According to our results, we can expect that markers on chromosomes 6, 9, 11, and 15 can be used to perform marker-assisted selection on CM without an associated negative genetic progress on milk yield, because no effects were detected on the milk traits. The exception may be chromosome 6, where there is evidence from several populations for QTL affecting milk production traits (Khatkar et al., 2004). However, the reason for not including yield traits in the multi-trait analyses of the present study is that, according to past studies of our material, only tests for QTL affecting the percentage traits were highly significant, whereas the yield traits were not affected (Ku
erová et al., 2006). Chromosome 5 affected milk yield as well as clinical mastitis, in which case the relationship between the 2 traits has to be taken into account. In this case, inconclusive evidence was found that the most probable genetic determinism was 2 different QTL, 1 affecting mastitis traits and 1 affecting yield traits, linked with some distance between them.
Assuming that this is the case, it would be possible to select individuals that inherit haplotypes with a desirable linkage phase between the 2 loci. However, the evidence for 2 linked QTL rather than 1 pleiotropic QTL was not very strong due to few informative markers between the supposing linked QTL. Using a much denser map and including information from linkage disequilibrium is probably needed to reach strong conclusions in this respect.
In the Nordic system, selection is performed to reduce clinical mastitis; SCS is only used as correlated information source. However, SCS is better at measuring subclinical cases, which are responsible for a substantial part of the economic loss due to mastitis. Therefore, an economic weight should probably be given to SCS. If this were the case, the QTL on chromosomes 8, 13, 22, 23, 24, and 25 that were found to affect SCS only could be used directly in the selection index.
| ACKNOWLEDGEMENTS |
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Received for publication April 17, 2007. Accepted for publication May 20, 2008.
| REFERENCES |
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erová, J., M. S. Lund, P. Sørensen, G. Sahana, B. Guldbrandtsen, V. H. Nielsen, B. Thomsen, and C. Bendixen. 2006. Multi-trait QTL mapping for milk production traits in Danish Holstein cattle. J. Dairy Sci. 89:2245–2256.This article has been cited by other articles:
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J. K. Hoglund, A. J. Buitenhuis, B. Guldbrandtsen, G. Su, B. Thomsen, and M. S. Lund Overlapping chromosomal regions for fertility traits and production traits in the Danish Holstein population J Dairy Sci, November 1, 2009; 92(11): 5712 - 5719. [Abstract] [Full Text] [PDF] |
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