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ABSTRACT: The estimated allele frequency at neutral DNA marker loci is a fundamental parameter for establishing a conservation scheme for a set of livestock breeds. In this study, we propose a novel 'minimum distance (MD) method' for estimating neutral allele frequencies, which minimizes the error by the use of pedigree information. Using computer simulation and actual microsatellite data for a pedigreed cattle population, the performance of the proposed method was compared with that of conventional random sampling (RND). MD manifests a promising superiority to RND, irrespective of the sample size and the depth of pedigree. It is theoretically demonstrated that the error of the estimates depends on both the sample size and the distance of founder allele frequencies between the sampled and the non-sampled individuals. MD samples individuals so as to minimize the latter source of estimation error.
Journal of Animal Breeding and Genetics 06/2012; 129(3):226-33. · 1.46 Impact Factor
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Tetsuro Nomura
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ABSTRACT: The effective population size N(e) is an important parameter in population genetics and conservation biology. In recent years, there has been great interest in the use of molecular markers to estimate N(e). Although the point estimates from molecular markers in general suffer from a low reliability, the use of single nucleotide polymorphism (SNP) markers over a wide range of genome is expected to remarkably improve the reliability. In this study, expressions were derived for interval estimates of N(e) from one published method, the heterozygote-excess method, when it is applied to SNP markers. The conditional variance theory is applied to the derivation of a confidence interval for N(e) under random union of gametes, monogamy and polygyny. Stochastic simulation shows that the obtained confidence interval is slightly conservative, but fairly useful for practical applications. The result is illustrated with real data on SNP markers in a pig strain.
Biometrical Journal 12/2009; 51(6):996-1016. · 1.25 Impact Factor
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ABSTRACT: Minimum coancestry mating (MC) is a simple mating system to reduce inbreeding in populations, in which matings are allocated so as to minimize the average inbreeding coefficient of progeny. This system was compared with random mating (RM) in simulated broiler lines. The population structure and genetic parameters were determined on the basis of an existing broiler line. Comparison of mating systems was made under two selection methods. The first method (DIS) was based on selection index for achieving desired genetic gains. In the second method (LPS), a combination of the family index and linear programming technique was applied to obtain the desired genetic gains. The selected traits were body weight at 6 weeks of both sexes and age at sexual maturity of hen. Four schemes by all the possible combinations of selection and mating methods (DIS + RM, DIS + MC, LPS + RM and LPS + MC) were compared in terms of genetic gains and inbreeding during 15 generations of selection and mating. The results obtained are summarized as follows: (i) the four schemes produced similar genetic gains averaged over replicates; (ii) the variations of genetic gains under LPS + RM and LPS + MC schemes were much smaller than under DIS + RM and DIS + MC schemes; (iii) irrespective of the selection methods, MC reduced the average inbreeding coefficients to about 80% of RM and; (iv) the inbreeding coefficients of individuals in the schemes with RM were distributed in a wide range, while the inbreeding coefficients in the schemes with MC showed a high uniformity. From these results, the LPS + MC scheme was recommended as a selection and mating strategy in closed broiler lines.
Animal Science Journal 09/2008; 73(6):435 - 443. · 0.86 Impact Factor
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Tetsuro Nomura
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ABSTRACT: The effective population size, Ne, is an important parameter in population genetics and conservation biology. It is, however, difficult to directly estimate Ne from demographic data in many wild species. Alternatively, the use of genetic data has received much attention in recent years. In the present study, I propose a new method for estimating the effective number of breeders Neb from a parameter of allele sharing (molecular coancestry) among sampled progeny. The bias and confidence interval of the new estimator are compared with those from a published method, i.e. the heterozygote-excess method, using computer simulation. Two population models are simulated; the noninbred population that consists of noninbred and nonrelated parents and the inbred population that is composed of inbred and related parents. Both methods give essentially unbiased estimates of Neb when applied to the noninbred population. In the inbred population, the proposed method gives a downward biased estimate, but the confidence interval is remarkably narrowed compared with that in the noninbred population. Estimate from the heterozygote-excess method is nearly unbiased in the inbred population, but suffers from a larger confidence interval. By combining the estimates from the two methods as a harmonic mean, the reliability is remarkably improved.
Evolutionary Applications 03/2008; 1(3):462 - 474. · 4.92 Impact Factor
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Tetsuro Nomura
Genetics 12/2005; 171(3):1441-2. · 4.01 Impact Factor
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Tetsuro Nomura
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ABSTRACT: Under the inifinitesimal model of gene effects, selection reduces the additive genetic variance by inducing negative linkage disequilibrium among selected genes. If the selected genes are linked, the decay of linkage disequilibrium is delayed, and the reduction of additive genetic variance is enhanced. Inbreeding in an infinite population also alters the additive genetic variance through the generation of positive association among genes within a locus. In the present study, the joint effect of selection, linkage and partial inbreeding (partial selfing or partial full-sib mating) on the additive genetic variance was modeled. The recurrence relations of the additive genetic variance between successive generations and the prediction equation of the asymptotic additive genetic variance were derived. Numerical computation showed that although partially inbred populations initially maintain larger genetic variances, the accumulated effect of selection overrides the effect of inbreeding. Stochastic simulation was carried out to check the precision of prediction, showing that the obtained equations give a satisfactory prediction during initial generations. However, the predicted values always overestimate the simulated values, especially in later generations. Based on these results, possible extensions and perspectives of the assumed model were discussed.
Biometrical Journal 09/2005; 47(4):527-40. · 1.25 Impact Factor
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Tetsuro NOMURA
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ABSTRACT: The effective population size is a key parameter in the definition of selection programs, because the magnitude of this parameter determines both the rate of inbreeding and the amount of genetic drift in the population. Prediction of the effective size of selected populations is complicated by the fact that selection has a cumulative effect on the effective size. In the present article, two basic approaches to predict the effective size of populations under selection were summarized, and the interrelation among them was clarified. Several extensions to practical situations relevant to animal breeding, such as non-random mating, index selection and marker-assisted selection, were also reviewed.
Animal Science Journal 03/2005; 76(2):87 - 96. · 0.86 Impact Factor
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ABSTRACT: Twenty-five subpopulations (i.e. populations of prefectures) of more than 2000 Japanese Black cows younger than or equal to 10 years of age were analyzed to evaluate the genetic relationships in the current population. The total number of cows analyzed was 392 346 and their pedigrees were traced back to 1944 or before. Using the pedigree records, the genetic relationships among the subpopulations were estimated by the two different measurements: (i) the average additive relationship coefficients and (ii) Nei's standard genetic distances. Principal component analysis (PCA) was performed to the matrix of the average additive relationship coefficients, and the factor loadings of subpopulations were plotted on the plane to visualize the genetic configuration of subpopulations. To understand the grouping process of the subpopulations, cluster analysis was applied to the matrix of the Nei's genetic distances, and a dendrogram was constructed. There was a high consistency between the results from PCA and cluster analysis. Eight subpopulations with relatively low migration rates showed their unique genetic compositions, and the other 17 subpopulations with high migration rates formed a single cluster. The major cause of the genetic similarity among the 17 subpopulations was inferred to be the strong genetic influence from one subpopulation (Hyogo prefecture) with prominent characteristics for meat quality.
Animal Science Journal 11/2002; 73(6):445 - 452. · 0.86 Impact Factor
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ABSTRACT: Gene dropping simulation was applied to Japanese Black cattle population in Hyogo prefecture, to examine the survivals of alleles originated from founder animals. In the analysis, unique alleles were assigned to founders, and the genotypes of all descendants along the actual pedigree were generated through Monte Carlo simulation following Mendelian segregation rules. By replicating this process 10 000 times, the distribution of frequencies of alleles from each founder was estimated. From the distribution, several quantities useful for the management of genetic diversity, such as the probability of allele extinction and the probability of alleles surviving at a critically low frequency were derived. The materials used were 68 781 animals born in 1955–1998 and their pedigree records traced back to the population in 1937 or before. The expected number of alleles retained in the population drastically decreased during the analyzed period, and reached to 57.9 in the population of 1998, which was only 3.3% of the total number of alleles assigned to founders. Detailed analysis of major founders with relatively high genetic contributions to the current population revealed that alleles from most of the major founders are now at high risk of future extinction. These results strongly suggest that for the management of genetic diversity, the genetic contributions of founders are not fully informative, and emphasize the importance of the detection of live animals having founder alleles with high extinction possibilities.
Animal Science Journal 10/2002; 73(2):105 - 111. · 0.86 Impact Factor
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ABSTRACT: A mating system to reduce the inbreeding of commercial females in the lower level was examined theoretically, assuming a hierarchical breed structure, in which favorable genes are accumulated in the upper level by artificial selection and the achieved genetic progress is transferred to the lower level through migration of males. The mating system examined was rotational mating with several closed sire lines in the upper level. Using the group coancestry theory, we derived recurrence equations for the inbreeding coefficient of the commercial females. The asymptotic inbreeding coefficient was also derived. Numerical computations showed that the critical factor for determining the inbreeding is the number of sire lines, and that the size of each sire line has a marginal effect. If four or five sire lines were available, rotational mating was found to be quite an effective system to reduce the short- and long-term inbreeding of the commercial females, irrespective of the effective size of each sire line. Oscillation of the inbreeding coefficient under rotational mating with initially related sire lines could be minimized by avoiding the consecutive use of highly related lines. Extensions and perspectives of the system are discussed in relation to practical application.
Genetics Selection Evolution 36(5):509-26. · 2.88 Impact Factor
