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Detecting inbreeding depression in structured populations.

Measuring inbreeding and its consequences on fitness is central for many areas in biology including human genetics and the conservation of endangered species. However, there is no consensus on the best method, neither for quantification of inbreeding itself nor for the model to estimate its effect on specific traits. We simulated traits based on simulated genomes from a large pedigree and empirical whole-genome sequences of human data from populations with various sizes and structures (from the 1,000 Genomes project). We compare the ability of various inbreeding coefficients ([Formula: see text]) to quantify the strength of inbreeding depression: allele-sharing, two versions of the correlation of uniting gametes which differ in the weight they attribute to each locus and two identical-by-descent segments-based estimators. We also compare two models: the standard linear model and a linear mixed model (LMM) including a genetic relatedness matrix (GRM) as random effect to account for the nonindependence of observations. We find LMMs give better results in scenarios with population or family structure. Within the LMM, we compare three different GRMs and show that in homogeneous populations, there is little difference among the different [Formula: see text] and GRM for inbreeding depression quantification. However, as soon as a strong population or family structure is present, the strength of inbreeding depression can be most efficiently estimated only if i) the phenotypes are regressed on [Formula: see text] based on a weighted version of the correlation of uniting gametes, giving more weight to common alleles and ii) with the GRM obtained from an allele-sharing relatedness estimator.

Humans

The interdependence of mating structure and inbreeding depression.

The level of inbreeding depression depends on the genetic structure and composition of a population, and is not a meaningful concept in its own right. Models are presented for the dynamics of alleles governing mating strategy when viability is determined by generalized heterosis or lethal recessive alleles. It is shown that a protected polymorphism for mating strategy may ensue from generalized heterosis, while lethal recessive alleles may favor the common mating strategy. Further, neither model provides the conditions allowing spread of an allele when rare (protection) which are obtained by assuming as constant the level of inbreeding depression associated with the equilibrium genetic structure dictated by the common mating strategy.

Animals

Runs of Homozygosity Predict Inbreeding Depression Across Taxa: A Systematic Review and Meta-Analysis.

Measuring inbreeding via runs of homozygosity (ROH) captures realized autozygosity and can infer inbreeding timing through ROH length. A growing body of literature links the proportion of the genome in ROH (FROH) to fitness outcomes across taxa, yet systematic synthesis has been lacking. Here, we conduct a systematic review and meta-analysis to quantify FROH-fitness associations, identify drivers of variation and derive conservation-relevant recommendations. Narrative synthesis of 44 studies revealed that inbreeding depression operates through multiple interconnected pathways (survival, maternal effects, disease susceptibility, reproduction). Critically, purging cannot be relied upon to eliminate inbreeding depression as substantial fitness costs persist even in historically small populations. Meta-analysis of 62 effect sizes revealed a significant negative association between genomic inbreeding and fitness across taxa (Fisher's z&#x2009;=&#x2009;-0.103, r&#x2009;=&#x2009;-0.10, p&#x2009;<&#x2009;0.0001). Study group, whether wildlife, livestock or humans, explained 22.5% of variance, with wildlife showing strongest effects (6-fold stronger than humans). Survival traits showed the greatest sensitivity to the effects of ROH (r&#x2009;=&#x2009;-0.22). Additionally, ROH detection methodology significantly influenced effect sizes: comprehensive approaches (all ROH lengths) detected stronger depression (r&#x2009;=&#x2009;-0.18) than long-ROH-only analyses (r&#x2009;=&#x2009;-0.08, p&#x2009;=&#x2009;0.008), indicating cumulative genetic load matters. Overall, results indicate significant but variable fitness associations with ROH, with effect magnitude depending on biological context and methodological approach. Comprehensive ROH-based approaches show promise as conservation monitoring tools, but limited wildlife studies, particularly for non-mammalian taxa, highlight an urgent need for standardized protocols and expanded empirical research.

Animals

Genomic inbreeding coefficients and inbreeding depression of semen production traits at genome-wide and chromosomal levels in Japanese Holstein bulls.

We aimed to estimate inbreeding coefficients and the effects of inbreeding depression on semen production traits at both the genome-wide and chromosomal levels. We utilized pedigree data for 19,921 animals, single nucleotide polymorphism (SNP) data on 5700 Japanese Holstein bulls, and 52,193 semen collection records from 775 bulls. We estimated 4 different inbreeding coefficients, namely a pedigree-based coefficient (FPED) and 3 genomic coefficients derived from SNP data. The genomic coefficients consisted of one based on the genomic relationship matrix (FGRM), one based on runs of homozygosity (ROH), and one based on homozygous-by-descent (HBD) segments (FHBD). These genomic coefficients were estimated at both the genome-wide and chromosomal levels. Furthermore, we investigated the effects of these coefficients on semen production traits: semen volume (VOL), sperm concentration (CON), sperm number (NUM), and sperm motility (MOT). In the genome-wide-level analysis, inbreeding coefficients increased markedly in bulls born after 2009, coinciding with the introduction of genomic selection. Significant inbreeding depression of VOL was found. At the chromosomal level, the inbreeding coefficients for most chromosomes showed a similar trend to the genome-wide metrics, although some (e.g., chr10 and chr20) exhibited a more pronounced trend. Suggestive inbreeding effects were detected on specific chromosomes for all traits (chr1 and chr22 for VOL, chr24 and chr29 for CON, chr1, chr12, and chr27 for NUM, chr10 and chr18 for MOT), including the traits that were not significant at the genome-wide level. Our results highlight that chromosomal-level analysis provides information complementary to whole-genome metrics, offering a more detailed perspective for managing inbreeding effects. To mitigate the adverse effects of inbreeding on semen production traits, future breeding programs would benefit from the control of inbreeding effects on high-risk chromosomal regions.

Genomic inbreeding coefficient

Analysis of levels of inbreeding and inbreeding depression in Jersey cattle.

A pedigree file of 157,015 male and female Jersey cattle (born after 1955) from the Canadian herdbooks was investigated for the occurrence of inbreeding. A large proportion of Jersey bulls and cows were inbred (32.4 and 36.3% for bulls and cows, respectively). However, average inbreeding coefficients of these inbred cows and of all cows were low. First lactation milk, fat, and fat percentage records for 53,592 Jersey cows were analyzed. Inbreeding was included in the animal model as a linear covariate. The regression coefficients of milk, fat, and fat percentage on inbreeding were -9.84 kg, -.55 kg, and -.0011% per 1% increase of inbreeding. Inbreeding depression was not enough to cause large reductions of milk and fat yield of a cow with average inbreeding. However, when the inbreeding coefficient was greater than 12.5%, the inbreeding depression was significantly higher than expected and such that intentional inbreeding is not justified unless the mating is to an animal with exceptionally high breeding value.

Algorithms

The effect of linkage and population size on inbreeding depression due to mutational load.

Using a stochastic model of a finite population in which there is mutation to partially recessive detrimental alleles at many loci, we study the effects of population size and linkage between the loci on the population mean fitness and inbreeding depression values. Although linkage between the selected loci decreases the amount of inbreeding depression, neither population size nor recombination rate have strong effects on these quantities, unless extremely small values are assumed. We also investigate how partial linkage between the loci that determine fitness affects the invasion of populations by alleles at a modifier locus that controls the selfing rate. In most of the cases studied, the direction of selection on modifiers was consistent with that found in our previous deterministic calculations. However, there was some evidence that linkage between the modifier locus and the selected loci makes outcrossing less likely to evolve; more losses of alleles promoting outcrossing occurred in runs with linkage than in runs with free recombination. We also studied the fate of neutral alleles introduced into populations carrying detrimental mutations. The times to loss of neutral alleles introduced at low frequency were shorter than those predicted for alleles in the absence of selected loci, taking into account the reduction of the effective population size due to inbreeding. Previous studies have been confined to outbreeding populations, and to alleles at frequencies close to one-half, and have found an effect in the opposite direction. It therefore appears that associations between neutral and selected loci may produce effects that differ according to the initial frequencies of the neutral alleles.

Genetic Linkage

Expectations for inbreeding depression on self-fertilization of tetraploids.

The contribution to the inbreeding depression from a digenic tetrasomic locus upon self-fertilization involves three genotypic interaction effects which may be thought of as a generalization of the dominance deviation for a diploid locus. It is shown how this contribution may be expressed in terms of these genotypic interaction effects, the gene frequencies and the number of generations of selfing.

Alleles

Coevolution of self-fertilization and inbreeding depression. II. Symmetric overdominance in viability.

We describe the evolutionary dynamics of a modifier of selfing coevolving with a locus subject to symmetric overdominance in viability under general levels of reduction in pollination success as a consequence of self-fertilization (pollen discounting). Simple models of the evolution of breeding systems that represent inbreeding depression as a constant parameter do not admit the possibility of stable mixed mating systems involving both inbreeding and random mating. Contrary to this expectation, we find that coevolution between a modifier of selfing and a single overdominant locus situated anywhere in the genome can generate evolutionarily attracting mixed mating systems. Two forms of association between the modifier locus and the viability locus promote the evolution of outcrossing. The favored heterozygous genotype at the viability locus develops positive associations with modifier alleles that enhance outcrossing and with the heterozygous genotype at the modifier locus. Associations between outcrossing and high viability evolve immediately upon the introduction of a rare modifier allele, even in the absence of linkage.

Alleles

Inbreeding depression in insular and central populations of Peromyscus mice.

We tested the hypothesis that small, isolated populations would show less depression in fitness when inbred than would large, central populations. Laboratory stocks of Peromyscus leucopus and P. polionotus were established from insular, peninsular, and central populations. The isolated populations had one-third to one-half the genic diversity of central populations. Responses to inbreeding were highly varied: some populations had smaller litters, others experienced higher mortality, some showed slower growth rates, and one displayed no measurable effects when inbred. These results suggest that inbreeding depression is controlled by a small number of genes and that the size of the genetic load depends on which alleles are present in the founders of a population. The severity of fitness depression in inbred litters did not correlate with initial genic diversity of the stocks nor, therefore, with the size of the wild populations. Fitness measures appeared linearly related to the inbreeding coefficient of the liters, with no diminution of deleterious effects through subsequent generations of inbreeding. Thus overdominance of fitness traits probably contributed as much to the genetic load as did deleterious recessive alleles. The inbreeding level of the dam negatively affected the size, growth, and survival of litters only in genetically diverse populations, indicating that the load of recessive alleles negatively impacting maternal care may have been reduced by selection in the more peripheral populations during past bottlenecks.

Animals

Coevolution of self-fertilization and inbreeding depression. I. Mutation-selection balance at one and two loci.

Simple theories for the evolution of breeding systems suggest that the fate of an allele that modifies the rate of self-fertilization hinges only on the degree to which selfing reduces opportunities for outcrossing ("pollen discounting") and the extent of inbreeding depression. These theories predict that outcrossing evolves whenever deleterious mutations have a more severe effect in combination than expected from their individual effects. We study the evolutionary dynamics of a modifier of the rate of self-fertilization in populations subject to complete pollen discounting and recurrent mutations which impair viability at a single locus in diploids and at two loci in haploids. Our analysis indicates that genetic associations arising immediately upon the introduction of a rare modifier allele generate substantial quantitative and qualitative departures from expectation. Higher rates of segregation under selfing in our one-locus diploid model generate positive associations between enhancers of selfing and wild-type viability alleles, which in turn favor the evolution of selfing under a wider range of conditions than expected. Greater opportunities for recombination under outcrossing in our two-locus haploid model generate positive associations between enhancers of outcrossing and wild-type viability alleles. These associations favor the evolution of outcrossing under a wider range of conditions, and introduce the possibility of stable mixed mating systems involving both selfing and outcrossing. Our explicit analysis of genetic associations between loci affecting viability and the rate of self-fertilization indicates that modifiers that enhance the production of offspring with very high (and very low) viability by promoting segregation or recombination develop positive associations with high viability. This advantage of producing extremes can compensate for an initial disadvantage in offspring number.

Alleles

Coevolution of self-fertilization and inbreeding depression. III. Homozygous lethal mutations at multiple loci.

We study the evolution of the rate of self-fertilization in response to deleterious mutations at multiple loci. Although partial selfing induces associations among loci even in the absence of linkage, associations among mutations at different loci are of a smaller order of magnitude than the mutation rate. Genotypes that carry homozygous lethal mutations in heterozygous form at i loci occur in frequencies of the order (Ti) mu i, in which T denotes the number of viability loci and mu the mutation rate. While associations between mutations at different loci remain small even under inbreeding, each viability locus develops an association with the modifier of the rate of self-fertilization that substantially affects the evolution of the breeding system. Positive associations between enhancers of selfing and haplotypes carrying multiple wild-type alleles and positive associations in heterozygosity between the modifier locus and the viability loci promote evolutionary increases in the rate of self-fertilization.

Biometry

Population size and selection intensity effects on long-term selection response in mice.

Long-term response to within full-sib family selection for increased postweaning gain was evaluated in lines having different effective population sized (Ne) and selection intensities (i). Line designations were I4(4), I8(2), I16(2), M4(4), M8(2) and M16(2), where I and M indicate selection of the top 50% and 25%, respectively; 4, 8 and 16 represent the number of parental pairs per replicate and number of replicates is given in parentheses. Realized within full-sib family heritabilities (hR-2) in the first phase of selection (0-14 generations) were larger in 16-pair lines than in 4- and 8-pair lines. In the second phase of selection (greater than 14 generations), hR-2 declined significantly (P smaller than .01) in all lines, and only the I16 and M16 lines had hR-2 values significantly (P smaller than .01) greater than zero. Realized genetic correlations involving number born, 12-day litter weight, weaning weight and six-week weight tended to decline in the second phase of selection. The I16, M16 and control (C16) replicates were crossed in all combinations at generation 14. Crosses were then selected within litters for high postweaning gain. The hR-2 values in the crossbred lines were all larger than those in the second selection phase for M16-1. M16-2 and I16-1, but not for I16-2. Within each Ne level, total response was significantly (P smaller than .01) less for I lines compared with M lines. Total response increased as Ne increased, within each level of i. Relatively small differences in realized i values among Ne lines could not account for this result. The difference in total response among the Ne lines at a given selection intensity may be due to inbreeding depression and a combination of interactions involving "drift" and selection. By crossing replicates of the M lines with the C16 control, the effects of inbreeding depression were removed. Inbreeding depression and genetic drift, as defined herein, were equally important in accounting for differences among Ne lines in total response.

Animals

Inbreeding load in finite populations from dominant and overdominant mutations.

Inbreeding depression is a widespread phenomenon that reflects the burden of deleterious effects hidden in heterozygosis in non-inbred populations but exposed in homozygosis in inbred individuals, known as inbreeding load (B). This load can be due to partially or fully recessive deleterious mutations (dominance model) or to heterozygote advantage (overdominance model, where both homozygotes are deleterious relative to the heterozygote). There are many studies addressing the changes in inbreeding load in finite populations assuming the dominance model. However, the contribution of overdominance to inbreeding depression has been focused on infinite-size populations. We carried out computer simulations to investigate the joint impact of dominant and pure overdominant mutations on inbreeding load, both for self-fertilizing populations and for panmictic populations suffering from a drastic bottleneck. We found that the overdominant inbreeding load can be substantially reduced by drift even for symmetrical overdominance, at least when considering mutations of small effect. For panmictic bottlenecked populations, the reduction in inbreeding load under dominance and overdominance loci cannot be easily distinguished. However, while purging depletes inbreeding load from dominant loci, slowing inbreeding depression and leading to partial fitness recovery, for overdominant loci fitness declines monotonically.

Inbreeding

Ex situ reared black-footed ferrets exhibit altered sperm DNA methylation.

Many endangered species rely on ex situ management for survival when external threats exist on the landscape. Yet, ex situ settings pose challenges through space limitation, altered environment, and diet. This can lead to environmentally determined inbreeding depression, where ex situ animals exhibit reduced reproductive fitness compared with their in situ counterparts, despite originating from the same genetic stock. We investigated epigenetic differences as a potential mechanism underlying environmentally determined inbreeding depression in black-footed ferrets (Mustela nigripes), a North American endemic species reliant on ex situ conservation. More specifically, we explored how environmental context may influence sperm DNA methylation in samples collected from 12 ex situ and 5 in situ males. Average sperm DNA methylation was significantly higher in ex situ individuals. We additionally identified more than&#x2009;500 differentially methylated regions between ex situ and in situ sperm samples that were enriched for gene ontology terms pertaining to reproduction and development. Putative genes of interest included NPR2, WEE2, SLC15A1, PDE10A, PIP5K1B, CACNA1E, and CACNA1A, all of which have previously been linked to spermatogenesis, sperm motility, or fertilization in mammals. Results suggest that environmental conditions may alter sperm DNA methylation in black-footed ferrets, with possible links to decreased reproductive success in ex situ settings. These findings provide valuable insights into the molecular mechanisms underlying environmentally determined inbreeding depression in black-footed ferrets and other conservation-reliant species, and can serve as a foundation for future research on improving reproductive health in endangered wildlife.

Animals

REVIEW: CAUSES AND CONSEQUENCES OF DOING IT WITH ONESELF-SYNTHESIS AND META-ANALYSIS OF NEODERMATAN HERMAPHRODITIC MATING SYSTEMS.

Hermaphroditic mating systems profoundly influence evolution, yet in parasitic flatworms (Neodermata) they remain strikingly understudied. For decades, sweeping claims have oscillated between pervasive selfing and near-universal outcrossing, reflecting a lack of comprehensive synthesis. This review, the first in more than 40 yr, integrates nearly a century of research, from early observational studies to modern genetic analyses, to reveal a far more nuanced picture. Our meta-analysis of population-genetic data shows a sharp departure from the bimodal selfing patterns typical of plants and other hermaphroditic animals: neodermatan parasites are strongly skewed toward outcrossing. We link variation in mating systems to parasite demography and life-history traits, especially in species exhibiting mixed mating or elevated selfing. Current evidence suggests outcrossing is common, but taxonomic and life-history gaps preclude definitive conclusions. Beyond patterns and causes, we explore evolutionary consequences ranging from fitness costs such as inbreeding depression to trait evolution, including delayed selfing, sex allocation, and complex life cycles. Evidence for inbreeding depression is mixed and limited, yet emerging approaches using selfing-rate comparisons offer promising avenues for future research. Notably, demographic constraints, such as infection intensity and life-cycle architecture, often explain mixed mating without invoking selection, challenging classical models. Similarly limited in number, studies on sex allocation indicate that hermaphroditic mating systems can shape reproductive investment, with patterns consistent with local sperm competition in some taxa. By consolidating historical observations with modern genetic insights, this review provides the most comprehensive synthesis of hermaphroditic mating systems in the Neodermata to date. We highlight critical gaps in taxonomic coverage and experimental data and point to future opportunities for integrating genomic approaches with ecological and demographic frameworks. Such integration will be essential to illuminate how mating systems shape parasite evolution and to resolve long-standing questions about the persistence of mixed mating despite theoretical expectations.

Animals

On the evolution of genetic incompatibility systems. VI. A three-locus modifier model for the origin of gametophytic self-incompatibility.

Recent genetic analyses have demonstrated that self-incompatibility in flowering plants derives from the coordinated expression of a system of loci. To address the selective mechanisms through which a genetic system of this kind evolves, I present a three-locus model for the origin of gametophytic self-incompatibility. Conventional models assume that a single locus encodes all physiological effects associated with self-incompatibility and that the viability of offspring depends only on whether they were derived by selfing or outcrossing. My model explicitly represents the genetic determination of offspring viability by a locus subject to symmetrically overdominant selection. Initially, the level of expression of the proto-S locus is insufficient to induce self-incompatibility. Weak gametophytic self-incompatibility arises upon the introduction of a rare allele at an unlinked modifier locus which enhances the expression of the proto-S locus. While conventional models predict that the origin of self-incompatibility requires at least two- to threefold levels of inbreeding depression, I find that the comparatively low levels of inbreeding depression generated by a single overdominant locus can ensure the invasion of an enhancer of self-incompatibility under sufficiently high rates of receipt of self-pollen. Associations among components of the incompatibility system promote the origin of self-incompatibility. Enhancement of heterozygosity at the initially neutral proto-S locus improves offspring viability through associative overdominance. Further, the modifier that enhances the expression of self-incompatibility develops a direct association with heterozygosity at the overdominant viability locus. These results suggest that the evolutionary processes by which incompatibility systems originate may differ significantly from those associated with their breakdown. The genetic mechanism explored here may apply to the evolution of other systems that restrict reproduction, including maternal-fetal incompatibility in mammals.

Animals