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Studies on genetic parameters that describe performance traits of stallions managed in Training Centres are of great importance, since they allow breeders to rationally design their breeding programmes. The outcomes of such studies also include breeding methods that are adequate for an improvement of traits which are of different heritability or which have different coefficients of correlation between them. As an effect of evaluated stallions will be significant over the decades to follow, the studies we have performed are important in terms of both theory and practice. The study covered performance test records of 2825 stallions tested in Training Centres in 1977-2000. Heritability estimates for the selected traits evaluated during performance tests were estimated with the REML method. The recorded values ranged from 0.09, for the pulse rate, to an exceptionally high record for dressage, as judged by foreign riders, reaching 0.95.
The material for the study were six populations of Red Cattle, including three samples of the Polish Red cattle population (PC’69, n = 203, PC’82, n = 261 and PC’96, n = 313) and one each of the Danish Red (DC, n = 169), German Red (NC, n = 510) and Czech Red (CC, n = 14). DNA was isolated from blood, according to the method by Gemmell and Akiyama (1996). All individuals were genotyping for the following proteins: a S1-casein, b-casein, k-casein and b-lactoglobulin. The frequency of alleles was estimate and was used for the estimation of the genetic distance between populations. Using the PHYLIP ver. 3.5c software the genetic distance was determined according to 1) Nei, 2) Cavali-Sforza and 3) Reynolds. All the populations demonstrated a similar distribution of allele frequencies at individual loci. Only the Czech Red showed different tendencies as regards b- and k-casein and b -lactoglobulin. This may have been the effect of the smaller population size as compared to the remaining breeds. Genetic distances estimated by these three using methods were similar. The smallest genetic distance was observed between populations PC’96 and NC (0.0007). In turn, the highest value was obtained between population DC and CC (0.0776). In the case of the genetic distance calculated according to the formulas by Cavalli-Sforza and Reynolds, the values obtained were higher then value of genetic distance estimated by Nei. The comparatively low values for the genetic distance obtained in the present studies may indicate that the breeds analysed originate from a common ancestor or lived on neighbouring geographical regions, what could lead to a frequent exchange of genes. The considerable similarity between those breeds could also be caused by a similarly conducted selection, based on similar assumptions (similar type of production). Those populations demonstrate similar gene pools what may be used for common preserve breeding programmes, which would decrease the danger of inbreeding. An analysis of the data collected over 30 years for the three populations of the Polish Red cattle, renders it possible to conclude that the frequency of individual alleles of the proteins examined are subjected to a small but continuous change.
The investigations covered the representatives of three red cattle breeds: Polish Red (PR, n = 65),Czech Red (CR, n = 54) and German Red (GR, n = 28). The allele frequency was analysed for five protein genes: CSN3, LGB, GH, PRL and Pit-1 as well as 13 microsatellite sequences. In the populations of PR and GR cattle the frequencies of protein loci were similar, with a clearly marked domination of one allele. Only in the CR cattle, allele frequencies were similar for all the protein loci analysed (with the exception of Pit-1) with no clear dominance of any one allele. Out of the 13 microsatellite sequences analysed six showed a similar distribution of the allele frequencies in all three breeds, while the remaining ones were characterized by a wide variation. On the basis of the results obtained the genetic distance was estimated between breeds. The smallest genetic distance was observed between the PR and GR population. In turn, between the PR and CR as well as CR and GR populations, the genetic distance proved to be similar, the most similar being obtained on the basis of Nei method.
We analysed data from a selective DNA pooling experiment with 130 individuals of the arctic fox (Alopex lagopus), which originated from 2 different types regarding body size. The association between alleles of 6 selected unlinked molecular markers and body size was tested by using univariate and multinomial logistic regression models, applying odds ratio and test statistics from the power divergence family. Due to the small sample size and the resulting sparseness of the data table, in hypothesis testing we could not rely on the asymptotic distributions of the tests. Instead, we tried to account for data sparseness by (i) modifying confidence intervals of odds ratio; (ii) using a normal approximation of the asymptotic distribution of the power divergence tests with different approaches for calculating moments of the statistics; and (iii) assessing P values empirically, based on bootstrap samples. As a result, a significant association was observed for 3 markers. Furthermore, we used simulations to assess the validity of the normal approximation of the asymptotic distribution of the test statistics under the conditions of small and sparse samples.
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