Indigenous cattle of Sri Lanka: Genetic and phylogeographic relationship with Zebu of Indus Valley and South Indian origin.

The present study reports the population structure, genetic admixture and phylogeography of cattle breeds of Sri Lanka viz. Batu Harak, Thawalam and White cattle. Moderately high level of genetic diversity was observed in all the three Sri Lankan zebu cattle breeds. Estimates of inbreeding for Thawalam and White cattle breeds were relatively high with 6.1% and 7.2% respectively. Genetic differentiation of Sri Lankan Zebu (Batu Harak and White cattle) was lowest with Red Sindhi among Indus Valley Zebu while it was lowest with Hallikar among the South Indian cattle. Global F statistics showed 6.5% differences among all the investigated Zebu cattle breeds and 1.9% differences among Sri Lankan Zebu breeds. The Sri Lankan Zebu cattle breeds showed strong genetic relationships with Hallikar cattle, an ancient breed considered to be ancestor for most of the Mysore type draught cattle breeds of South India. Genetic admixture analysis revealed high levels of breed purity in Lanka White cattle with >97% Zebu ancestry. However, significant taurine admixture was observed in Batu Harak and Thawalam cattle. Two major Zebu haplogroups, I1 and I2 were observed in Sri Lankan Zebu with the former predominating the later in all the three breeds. A total of 112 haplotypes were observed in the studied breeds, of which 50 haplotypes were found in Sri Lankan Zebu cattle. Mismatch analysis revealed unimodal distribution in all the three breeds indicating population expansion. The sum of squared deviations (SSD) and raggedness index were non-significant in both the lineages of all the three breeds except for I1 lineage of Thawalam cattle (P<0.01) and I2 lineage of Batu Harak cattle (P<0.05). The results of neutrality tests revealed negative Tajima's D values for both the lineages of Batu Harak (P>0.05) and White cattle (P>0.05) indicating an excess of low frequency polymorphisms and demographic expansion. Genetic dilution of native Zebu cattle germplasm observed in the study is a cause for concern. Hence, it is imperative that national breeding organizations consider establishing conservation units for the three native cattle breeds to maintain breed purity and initiate genetic improvement programs.

Investigating the relationship between inbreeding and life expectancy in dogs: mongrels live longer than pure breeds.

This study aimed to investigate the establishment of relationship between inbreeding and life expectancy in dogs. A dataset of N = 30,563 dogs sourced from the VetCompass™ Program, UK was made available by the Royal Veterinary College, University of London, containing information about breed and longevity and was subject to survival analysis. A Cox regression proportional hazards model was used to differentiate survivability in three groups of dogs (mongrel, cross-bred and pure breed). The model was found highly significant (p < 0.001) and we found that mongrel dog had the highest life expectancy, followed by cross-bred dogs with only one purebred ancestor and purebred dogs had the lowest life expectancy. A second Cox regression was also found highly significant (p < 0.001) differentiating the lifespan of different dog breed and correlating positively the hazard ratio and the Genetic Illness Severity Index for Dogs (GISID). The results show that survivability is higher in mongrel dogs followed by cross-bred with one of the ancestor only as a pure breed, and pure breed dog have the highest morbidity level. Higher morbidity is associated with higher GISID scores, and therefore, higher inbreeding coefficients. These findings have important implications for dog breeders, owners, and animal welfare organizations seeking to promote healthier, longer-lived dogs.

Analysis of the population structure of a cattle conservation nucleus Curraleiro Pé Duro / [Análise da estrutura populacional de um núcleo de conservação de bovino Curraleiro Pé Duro]

The objective of this research was to study the population structure of the Cattle Conservation Nucleos Curraleiro Pé Duro of the Instituto Nacional do Semiárido (NCP_INSA) based on pedigree data. Genealogical information from 338 animals registered in the period from 1991 to 2019 was used. The number of founding animals (Nf), the effective number of founders (fe), effective number of ancestors (fa), inbreeding coefficient (F), and average relatedness coefficient (AR), in addition to Fis, Fit and Fst were estimated. It was possible to identify ancestors up to the third generation, with an increase in information over the generations. Of the total pedigree information evaluated, 90.53% had the identification of the father and mother. The effective size of the population was smaller than those proposed by FAO, suggesting the need to redefine the herd management and genetic management plan strategies, promoting gene flow and breed expansion.(AU)

O objetivo com essa pesquisa foi estudar a estrutura populacional do Núcleo de Conservação de Bovinos Curraleiro Pé-Duro (NCP) do Instituto Nacional do Semiárido (INSA), por meio de dados de pedigree. Utilizaram-se informações genealógicas de 338 animais registrados no período de 1991 a 2019. Foi estimado o número de animais fundadores (Nf), o número efetivo de fundadores (fe), o número efetivo de ancestrais (fa), o coeficiente de endogamia (F) e o coeficiente de parentesco médio (AR), além do Fis, Fit e Fst. Foi possível identificar ancestrais até a terceira geração, com aumento crescente das informações ao longo das gerações. Do total de informações avaliadas, 90,53% possuíam identificação do pai e da mãe. O tamanho efetivo da população foi inferior ao mínimo proposto pela FAO, o que sugere a necessidade de redefinir as estratégias do plano de gestão e de manejo genético do rebanho, de modo a promover fluxo gênico e expansão da raça.(AU)

Análise da estrutura populacional de ovinos deslanados do núcleo de conservação / Population structure analysis in sheep without wool in the conservation nucleus

Este estudo analisou a estrutura populacional de ovinos deslanados do núcleo de conservação do estado do Ceará, Brasil. Os parâmetros populacionais foram estimados com base nos dados genealógicos de indivíduos das raças Santa Inês (SI), Somalis (SO) e Morada Nova (MN), nascidos entre os anos de 2001 e 2014. Os parâmetros estimados foram: número de gerações completas equivalentes (GCE), intervalo entre gerações (IEG), número de fundadores (Nf), número efetivo de fundadores (fe), número efetivo de ancestrais (fa), coeficiente de endogamia (F) e índice de contribuição genética (ICG). O GCE médio foi de 1,82, 2,78 e 1,52 para SI, SO e MN, respectivamente. O IEG foi próximo entre as raças, 3,67 anos em média. O Nf para SI, SO e MN foi igual a 225, 194 e 153, respectivamente. As razões fe/fa foram distantes de 1 nas três populações, o que indica ocorrência de gargalo genético, principalmente para SO. Os coeficientes médios de endogamia foram de 1,81%, 0,78% e 0,78% para SI, SO e MN, respectivamente. O ICG foi de 3,32, 5,38 e 2,87 para SI, SO e MN, respectivamente. Os parâmetros populacionais estimados apontam que parte da genética original desses rebanhos foi perdida, principalmente na população da raça Somalis.(AU)

This study evaluated the population structure of sheep without wool from the conservation nucleus in Ceará State, Brazil. Population parameters were estimated on genealogical records of Santa Ines (SI), Somali (SO,) and Morada Nova (MN) breeds, that were born between 2001 and 2014. The following estimates were obtained: number of complete generation equivalents (GCE), generation intervals (IEG), number of founders (Nf), effective number of founders (fe), effective number of ancestors (fa), inbreeding coefficient (F), and genetic contribution index (ICG). Average GCE was 1.82, 2.78, and 1.52 for SI, SO, and MN respectively. Mean IEG was similar between breeds, 3.67 years. The Nf was 225, 194, and 153 for SI, SO, and MN respectively. The fe/fa ratios were different to 1, which is an indication of genetic bottleneck, mainly for SO. The average inbreeding coefficients were 1.81%, 0.78%, and 0.78% for SI, SO, and MN respectively. The ICG was 3.32, 5.38, and 2.87 for SI, SO, and MN respectively. Estimated population parameters indicate that part of the genetics of these breeds was lost, mainly in Somalis.(AU)

Sex-specific impact of inbreeding on pathogen load in the striped dolphin.

The impact of inbreeding on fitness has been widely studied and provides consequential inference about adaptive potential and the impact on survival for reduced and fragmented natural populations. Correlations between heterozygosity and fitness are common in the literature, but they rarely inform about the likely mechanisms. Here, we investigate a pathology with a clear impact on health in striped dolphin hosts (a nematode infection that compromises lung function). Dolphins varied with respect to their parasite burden of this highly pathogenic lung nematode (Skrjabinalius guevarai). Genetic diversity revealed by high-resolution restriction-associated DNA (43 018 RADseq single nucleotide polymorphisms) analyses showed a clear association between heterozygosity and pathogen load, but only for female dolphins, for which the more heterozygous individuals had lower Sk. guevarai burden. One locus identified by RADseq was a strong outlier in association with parasite load (heterozygous in all uninfected females, homozygous for 94% of infected females), found in an intron of the citron rho-interacting serine/threonine kinase locus (associated with milk production in mammals). Allelic variation at the Class II major histocompatability complex DQB locus was also assessed and found to be associated with both regional variation and with pathogen load. Both sex specificity and the identification of associating functional loci provide insight into the mechanisms by which more inbred individuals may be more susceptible to the infection of this parasite. This provides important insight towards our understanding of the impact of inbreeding in natural populations, relevant to both evolutionary and practical conservation considerations.

Performing Parentage Analysis in the Presence of Inbreeding and Null Alleles.

Parentage analysis is an important method that is used widely in zoological and ecological studies. Current mathematical models of parentage analyses usually assume that a population has a uniform genetic structure and that mating is panmictic. In a natural population, the geographic or social structure of a population, and/or nonrandom mating, usually leads to a genetic structure and results in genotypic frequencies deviating from those expected under the Hardy-Weinberg equilibrium (HWE). In addition, in the presence of null alleles, an observed genotype represents one of several possible true genotypes. The true father of a given offspring may thus be erroneously excluded in parentage analyses, or may have a low or negative LOD score. Here, we present a new mathematical model to estimate parentage that includes simultaneously the effects of inbreeding, null alleles, and negative amplification. The influences of these three factors on previous model are evaluated by Monte-Carlo simulations and empirical data, and the performance of our new model is compared under controlled conditions. We found that, for both simulated and empirical data, our new model outperformed other methods in many situations. We make available our methods in a new, free software package entitled parentage This can be downloaded via http://github.com/huangkang1987/parentage.

Maximum avoidance of inbreeding in haplodiploid populations.

Maximum avoidance of inbreeding (MAI) is a mating system, in which mates are as distantly related as possible. Although theoretical aspects and applications of MAI in diploid populations have been studied by many researchers, extension of MAI to haplodiploid populations is an unresolved problem. In this paper, this problem is addressed, and the following conclusions are derived. For a haplodiploid population with a Fibonacci number of females, a set of mating systems (one cycle MAI-hd) to avoid inbreeding to the maximum after one cycle practice of the set can be defined. But unlike MAI in diploid populations, repetition of one cycle MAI-hd cannot be MAI in the global range of generations. Numerical comparison with random mating and circular half-sib mating shows that as in diploid populations, repetition of one cycle MAI-hd in haplodiploid populations attains a lower inbreeding coefficient in early generations at the expense of a higher asymptotic rate of inbreeding.

Challenges in inbreeding estimation of large populations based on Polish Holstein-Friesian cattle pedigree.

The aim of this study was to evaluate observed and future inbreeding level in Polish Holstein-Friesian cattle population. In total, over 9.8 mln animals were used in the analysis coming from the pedigree of Polish Federation of Cattle Breeders and Dairy Farmers. Inbreeding level, as an average per birth year, was estimated with the method accounting for missing parent information with the assumption of year 1950 as the base year of the population. If an animal had no ancestral records, an average inbreeding level from its birth year was assigned. Twice the average inbreeding level served as relatedness of the animal to the population, which enabled estimation of inbreeding in its offspring. The future inbreeding of potential offspring was estimated as an average of animals (bulls and cows) available for mating in a certain year. It was observed that 30-50% of animals born between 1985 and 2015 had no relevant ancestral information, which is caused by a high number of new animals and/or entire farms entering the national milk recordings. For the year 2015, the observed inbreeding level was 3.30%, which was more than twice the inbreeding with the classical approach (without missing parent information) and higher by 0.4% than the future inbreeding. The average increase of inbreeding in years 2010-2015 was 0.10%, which is similar to other countries monitored by World Holstein-Friesian Federation. However, the values might be underestimated due to low pedigree completeness. The estimates of future inbreeding suggested that observed inbreeding could be even lower and also increase slower, which indicates a constant need to monitor rate of increase in inbreeding over time. The most important aspect of presented results is the necessity to advise individual farmers to keep precise recordings of the matings on their farm in order to improve the pedigree completeness of Polish Holstein-Friesian and to use suitable mating programs to avoid too rapid growth of inbreeding.

Development of microsatellite markers and estimation of inbreeding frequency in the parasitoid wasp Melittobia.

The parasitoid wasp Melittobia is an important insect for basic and applied biology. Specifically, their extremely female-biased sex ratios, which contrast to the prediction of pre-existing theories, are needed to be explained from the aspect of evolutionary biology. In this study, using next-generation sequencing, 20 microsatellite loci were developed and characterized for M. australica. The developed loci were used to analyze two populations, one from a mainland Japan and one from the Okinawa island region. Both populations showed a smaller observed heterozygosity than expected, and a high inbreeding coefficient. Deviations from Hardy-Weinberg equilibrium were recorded for the majority of the 20 loci, suggesting that both the populations are subdivided due to inbreeding as is expected by the reproductive biology in Melittobia. The sib-mating frequency in the two populations was calculated as 0.873 and 0.996, which is higher than the values estimated by the number of females observed in a host cocoon or cell, implying that closely related females lay eggs on a host. The microsatellite loci developed in this study can be used for more comprehensive analyses to identify genetic structure in natural populations for understanding their sex allocation behavior and for more generally evolutionary and population genetic studies.

Padrões de seletividade relacionados aos casais homossexuais e heterossexuais no Brasil / /Assortative mating patterns of homosexual and heterosexual couples in Brazil / /Patrones de selectividad de las parejas homosexuales y heterosexuales en Brasil

Esse artigo tem por objetivo analisar os padrões de seletividade marital entre os casais heterossexuais e os casais homossexuais no Brasil, investigando os níveis de escolaridade, cor/raça e grupo etário. Inicialmente foi feita uma análise descritiva dos dados com o intuito de caracterizar a população estudada e os diferenciais entre os tipos de casais. Além disso, esse artigo utiliza tabelas de contingência e modelos log-lineares para compreender as formas de associações entre os casais e quais variáveis influenciam a seletividade dos parceiros. Os resultados mostram que cor/raça e escolaridade têm maior influência na seletividade dos casais heterossexuais, enquanto cor/raça e grupo etário são mais relevantes para os casais homossexuais em relação aos seus padrões de seletividade. Portanto, é possível identificar a existência de diferenças entre as características de seletividade entre esses casais e seus padrões, o que abre margem para estudos posteriores que possam aprofundar a compreensão das distinções entre esses padrões, no sentido de encontrar formas de tentar explicá-las e suas possíveis consequências no Brasil.

El objetivo de este artículo es analizar los patrones de selectividad marital entre las parejas heterosexuales y homosexuales en Brasil, investigando para ello los niveles de escolaridad, color/raza y grupo etario. Inicialmente se realizó un análisis descriptivo de los datos con el fin de caracterizar a la población estudiada y los diferenciales entre los tipos de parejas. Además, el estudio utiliza tablas de contingencia y modelos log-lineares para entender las formas de asociación entre las parejas y las variables que influyen en la selectividad de sus miembros. En relación con los patrones de selectividad, los resultados muestran que el color/raza y la escolaridad tienen mayor influencia en las parejas heterosexuales, mientras que el color/raza y el grupo etario al que se pertenece son más relevantes para las parejas homosexuales. Por lo tanto, se pueden identificar diferencias entre las características de la selectividad de estas parejas y sus patrones, lo que abre un espacio para estudios posteriores que puedan profundizar la comprensión de las diferencias entre estos patrones, con el fin de intentar explicar estas distinciones y sus posibles consecuencias en el país.

High inbreeding in the Faroe Islands does not appear to constitute a risk factor for multiple sclerosis.

BACKGROUND: Large population-based genome-wide association studies have identified several multiple sclerosis (MS) genetic risk variants, but the existing missing heritability warrants different strategies. Isolated populations offer an alternative way of searching for rare genetic variants and evaluating the possible role of consanguinity in the development of MS. Studies of consanguinity and MS risk have yielded conflicting results. OBJECTIVES: In this study we investigated the role of consanguinity on MS risk in the relatively isolated Faroe Islands, which have a presumed high level of inbreeding. METHODS: A total of 29 cases and 28 matched controls were genotyped and assessed for inbreeding coefficients, number of runs of homozygosity (ROH) at different lengths and observed number of homozygotes as measures of relatedness. Parametric and non-parametric statistical models were applied. RESULTS: Both cases and controls exhibited considerable relatedness demonstrated by very high inbreeding coefficients, large number of observed homozygotes and many long ROH. However, apart from the number of ROH ≥ 2.5 mega base pairs, no significant differences between the two groups were observed. CONCLUSIONS: Overall, no significant difference between cases and controls were found, indicating that consanguinity in itself does not appear to be an important risk factor for MS in the population of the Faroe Islands.

Assessment of inbreeding resulting from selection for scrapie resistance: a model for rare sheep breeds.

Inbreeding in a small population of Chios sheep undergoing intense selection for the PrP gene was assessed 10 years after the beginning of a scrapie resistance selection programme. Inbreeding in this stock, already under selection for production traits, was analysed by using pedigree records containing 10,492 animals from 1968 to 2008, and also by genotyping 192 individuals with a panel of 15 microsatellites. Genetic markers indicated a loss of heterozygosity (FIS over all loci was 0.059) and allelic diversity (mean effective number of alleles was 3.075±0.275). The annual rate of inbreeding increased significantly after the start of the scrapie resistance programme, ΔF=0.005 compared with ΔF=0.001 before 1999, and was subjected to several genetic bottlenecks, mainly due to the low initial frequency of resistant animals. However, the mean individual inbreeding coefficient estimated from the pedigree - in this closed stock resembling the case of a rare breed - stood at the level of 4.5 per cent, five generations after the implementation of selection for the PrP gene. The inbreeding coefficient estimated by genetic markers was 4.37 per cent, implying that such a marker panel could be a useful and cost-effective tool for estimating inbreeding in unrecorded populations.

Genetic variability of Lizard canary breed inferred from pedigree analysis.

The genealogical data of 471 (whole population: WP) Lizard canaries of an Italian breeder were analyzed to evaluate the genetic variability of the breed. The reference population (RP) comprised 346 living reproductive birds. Average generation interval was 1.61 ± 0.718 for males and 1.72 ± 0.863 for females. The average value of inbreeding (F) and relatedness (AR) in the RP were 15.83% and 22.63%, while the average increase in inbreeding was estimated to be 6.71% per generation (effective population size = 7.49). The results showed the need to reduce the level of inbreeding which would result in significant loss of genetic variation and in significant inbreeding depression.

Recent breeding history of dog breeds in Sweden: modest rates of inbreeding, extensive loss of genetic diversity and lack of correlation between inbreeding and health.

One problem in modern dogs is a high occurrence of physical diseases, defects and disorders. Many breeds exhibit physical problems that affect individual dogs throughout life. A potential cause of these problems is inbreeding that is known to reduce the viability of individuals. We investigated the possible correlation between recent inbreeding and health problems in dogs and used studbook data from 26 breeds provided by the Swedish Kennel Club for this purpose. The pedigrees date back to the mid-20th century and comprise 5-10 generations and 1 000-50 000 individuals per pedigree over our study period of 1980-2010. We compared levels of inbreeding and loss of genetic variation measured in relation to the number of founding animals during this period in the investigated dog breeds that we classified as 'healthy' (11 breeds) or 'unhealthy' (15) based on statistics on the extent of veterinary care obtained from Sweden's four largest insurance companies for pets. We found extensive loss of genetic variation and moderate levels of recent inbreeding in all breeds examined, but no strong indication of a difference in these parameters between healthy versus unhealthy breeds over this period. Thus, recent breeding history with respect to rate of inbreeding does not appear to be a main cause of poor health in the investigated dog breeds in Sweden. We identified both strengths and weaknesses of the dog pedigree data important to consider in future work of monitoring and conserving genetic diversity of dog breeds.

The ghost of outcrossing past in downy brome, an inbreeding annual grass.

We investigated the frequency of outcrossing in downy brome (Bromus tectorum L.), a cleistogamous weedy annual grass, in both common garden and wild populations, using microsatellite and single nucleotide polymorphic (SNP) markers. In the common garden study, 25 lines with strongly contrasting genotypes were planted in close proximity. We fingerprinted 10 seed progeny from 8 individuals of each line and detected 15 first-generation heterozygotes for a t-value (corrected for cryptic crosses) of 0.0082. Different genotypes were significantly overrepresented as maternal versus paternal parents of heterozygotes, suggesting gender-function-dependent genetic control of outcrossing rates. In 4 wild populations (>300 individuals each), expected heterozygosity ranged from 0.149 to 0.336, whereas t-values ranged from 0.0027 to 0.0133, indicating high levels of both genetic diversity and inbreeding. Up to a third of the individuals in each population belonged to groups with identical or nearly identical SNP genotypes, whereas many of the remaining individuals were members of loose clusters of apparently related plants that probably represent descendants from past outcrossing events. Strict inbreeding in some lineages within a population with occasional outcrossing in others may be related to positive selection on adaptive syndromes associated with specific inbreeding lineages, or possibly to among-lineage differences in genetic regulation of outcrossing.

Re-mating across years and intralineage polygyny are associated with greater than expected levels of inbreeding in wild red deer.

The interaction between philopatry and nonrandom mating has important consequences for the genetic structure of populations, influencing co-ancestry within social groups but also inbreeding. Here, using genetic paternity data, we describe mating patterns in a wild population of red deer (Cervus elaphus) which are associated with marked consequences for co-ancestry and inbreeding in the population. Around a fifth of females mate with a male with whom they have mated previously, and further, females frequently mate with a male with whom a female relative has also mated (intralineage polygyny). Both of these phenomena occur more than expected under random mating. Using simulations, we demonstrate that temporal and spatial factors, as well as skew in male breeding success, are important in promoting both re-mating behaviours and intralineage polygyny. However, the information modelled was not sufficient to explain the extent to which these behaviours occurred. We show that re-mating and intralineage polygyny are associated with increased pairwise relatedness in the population and a rise in average inbreeding coefficients. In particular, the latter resulted from a correlation between male relatedness and rutting location, with related males being more likely to rut in proximity to one another. These patterns, alongside their consequences for the genetic structure of the population, have rarely been documented in wild polygynous mammals, yet they have important implications for our understanding of genetic structure, inbreeding avoidance and dispersal in such systems.

Long-term response to genomic selection: effects of estimation method and reference population structure for different genetic architectures.

BACKGROUND: Genomic selection has become an important tool in the genetic improvement of animals and plants. The objective of this study was to investigate the impacts of breeding value estimation method, reference population structure, and trait genetic architecture, on long-term response to genomic selection without updating marker effects. METHODS: Three methods were used to estimate genomic breeding values: a BLUP method with relationships estimated from genome-wide markers (GBLUP), a Bayesian method, and a partial least squares regression method (PLSR). A shallow (individuals from one generation) or deep reference population (individuals from five generations) was used with each method. The effects of the different selection approaches were compared under four different genetic architectures for the trait under selection. Selection was based on one of the three genomic breeding values, on pedigree BLUP breeding values, or performed at random. Selection continued for ten generations. RESULTS: Differences in long-term selection response were small. For a genetic architecture with a very small number of three to four quantitative trait loci (QTL), the Bayesian method achieved a response that was 0.05 to 0.1 genetic standard deviation higher than other methods in generation 10. For genetic architectures with approximately 30 to 300 QTL, PLSR (shallow reference) or GBLUP (deep reference) had an average advantage of 0.2 genetic standard deviation over the Bayesian method in generation 10. GBLUP resulted in 0.6% and 0.9% less inbreeding than PLSR and BM and on average a one third smaller reduction of genetic variance. Responses in early generations were greater with the shallow reference population while long-term response was not affected by reference population structure. CONCLUSIONS: The ranking of estimation methods was different with than without selection. Under selection, applying GBLUP led to lower inbreeding and a smaller reduction of genetic variance while a similar response to selection was achieved. The reference population structure had a limited effect on long-term accuracy and response. Use of a shallow reference population, most closely related to the selection candidates, gave early benefits while in later generations, when marker effects were not updated, the estimation of marker effects based on a deeper reference population did not pay off.

MIM: an indirect method to assess inbreeding and coancestry in large incomplete pedigrees of selected dairy cattle.

In real data, inbreeding is usually underestimated because of missing pedigree information. A method adapted to the dairy cattle situation is presented to approximate inbreeding when the stored population pedigree is incomplete. Missing parents in incomplete pedigrees were given a dummy identification and assigned to groups (up to nine for a given birth date of progeny). These groups were linked to contemporary reference groups with known parents. An explicit model considered that polygenic breeding values in a censored group were centred on a function of the average breeding value in the corresponding reference group and deviated independently. Inbreeding coefficients were obtained progressively over birth dates starting from founders. For each date considered, the parameters pertaining to its groups were computed using the parameters already obtained from groups belonging to the previous dates. The updating algorithms were given in detail. An indirect method was implemented to expedite mass computations of the relationship coefficients involved (MIM). MIM was compared to Van Raden's (VR) method using simulated populations with 20 overlapping generations and different rates of missing sires and dams. In the situation of random matings, the average inbreeding coefficients by date obtained by MIM were close to true values, whereas they were strongly underestimated by VR. In the situation of assortative matings, MIM gave average inbreeding coefficients moderately underestimated, whereas those of VR's method were still strongly underestimated. The main conclusion of this study adapted to the situation of dairy cattle with incomplete pedigrees was that corrections for inbreeding and coancestry coefficients are more efficient with an explicit appropriate genetic model than without.

Molecular and pedigree analysis applied to conservation of animal genetic resources: the case of Brazilian Somali hair sheep.

The first registers of Somali sheep in Brazil are from the beginning of the 1900s. This breed, adapted to the dry climate and scarce food supply, is restricted in the northeast region of the country. Molecular marker technologies, especially those based on genotyping microsatellite and mtDNA loci, can be used in conjunction with breeding (pedigree analysis) and consequently the maintenance of genetic variation in herds. Animals from the Brazilian Somali Conservation Nuclei from Embrapa Sheep and Goats in Ceará State were used to validate genetic monitoring by traditional pedigree methods and molecular markers. Nineteen microsatellite markers and 404 base pairs from the control region of mtDNA were used. For total herd diversity, an average 5.32 alleles were found, with expected heterozygosity of 0.5896, observed heterozygosity of 0.6451, 0.4126 for molecular coancestrality, and coefficient of inbreeding (F (IS)) was -0.095. Comparing molecular coancestrality means over the years, there was a consistent increase in this parameter within the herd, increasing from 0.4157 to 0.4769 in 2 years (approx. 12% variation). Sixteen mtDNA haplotypes were identified. Inbreeding and other estimates from genealogical analyses confirm the results from molecular markers. From these results, it is possible to state that microsatellites are useful tools in genetic management of herds, especially when routine herd recording is not carried out, or there were gaps in recent generations. As well as pedigree control, genetic diversity can be optimized. Based on the results, and despite herd recording in the herd of Brazilian Somali of Embrapa Sheep and Goats, additional management measures need to be carried out in this herd to reduce inbreeding and optimize genetic variation.