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1.
Axtner J  Sommer S 《Immunogenetics》2007,59(5):417-426
The generation and maintenance of allelic polymorphism in genes of the major histocompatibility complex (MHC) is a central issue in evolutionary genetics. Recently, the focus has changed from ex situ to in situ populations to understand the mechanisms that determine adaptive MHC polymorphism under natural selection. Birth-and-death evolution and gene conversion events are considered to generate sequence diversity in MHC genes, which subsequently is maintained by balancing selection through parasites. The ongoing arms race between the host and parasites leads to an adaptive selection pressure upon the MHC, evident in high rates of non-synonymous vs synonymous substitution rates. We characterised the MHC class II DRB exon 2 of free living bank voles, Clethrionomys glareolus by single-strand conformation polymorphism and direct sequencing. Unlike other arvicolid species, the DRB locus of the bank vole is at least quadruplicated. No evidence for gene conversion events in the Clgl-DRB sequences was observed. We found not only high allelic polymorphism with 26 alleles in 36 individuals but also high rates of silent polymorphism. Exceptional for MHC class II genes is a purifying selection pressure upon the majority of MHC-DRB sequences. Further, we analysed the association between certain DRB alleles and the parasite burden with gastrointestinal trichostrongyle nematodes Heligmosomum mixtum and Heligmosomoides glareoli and found significant quality differences between specific alleles with respect to infection intensity. Our findings suggest a snapshot in an evolutionary process of ongoing birth-and-death evolution. One allele cluster has lost its function and is already silenced, another is loosing its adaptive value in terms of gastrointestinal nematode resistance, while a third group of alleles indicates all signs of classical functional MHC alleles.  相似文献   

2.
Analysis of the highly polymorphic beta1 domains of the HLA class II molecules encoded by the DRB1, DQB1, and DPB1 loci reveals contrasting levels of diversity at the allele and amino acid site levels. Statistics of allele frequency distributions, based on Watterson's homozygosity statistic F, reveal distinct evolutionary patterns for these loci in ethnically diverse samples (26 populations for DQB1 and DRB1 and 14 for DPB1). When examined over all populations, the DQB1 locus allelic variation exhibits striking balanced polymorphism (P < 10(-4)), DRB1 shows some evidence of balancing selection (P < 0.06), and while there is overall very little evidence for selection of DPB1 allele frequencies, there is a trend in the direction of balancing selection (P < 0.08). In contrast, at the amino acid level all three loci show strong evidence of balancing selection at some sites. Averaged over polymorphic amino acid sites, DQB1 and DPB1 show similar deviation from neutrality expectations, and both exhibit more balanced polymorphic amino acid sites than DRB1. Across ethnic groups, polymorphisms at many codons show evidence for balancing selection, yet data consistent with directional selection were observed at other codons. Both antigen-binding pocket- and non-pocket-forming amino acid sites show overall deviation from neutrality for all three loci. Only in the case of DRB1 was there a significant difference between pocket- and non-pocket-forming amino acid sites. Our findings indicate that balancing selection at the MHC occurs at the level of polymorphic amino acid residues, and that in many cases this selection is consistent across populations.  相似文献   

3.
Cutrera AP  Lacey EA 《Immunogenetics》2007,59(12):937-948
Balancing selection acting over the evolutionary history of a lineage can result in the retention of alleles among species for longer than expected under neutral evolution. The associated pattern of trans-species polymorphism, in which similar or even identical alleles are shared among species, is often used to infer that balancing selection has occurred. The genes of the major histocompatibility complex (MHC) are thought to be subject to balancing selection that maintains alleles associated with response to specific pathogens. To explore the role of balancing selection in shaping MHC diversity in ctenomyid rodents, we examined allelic variability at the class II DRB and DQA loci in 18 species in the genus Ctenomys. Previous studies of four of these species had revealed significant within-population evidence of positive selection on MHC loci. The current study expands upon these analyses to (1) evaluate among-species evidence of positive selection and (2) explore the potential for balancing selection on MHC genes. Interspecific nucleotide sequence variation revealed significant evidence of positive selection on the DRB and DQA loci. At the same time, comparisons of phylogenetic trees for these MHC loci with a putative species tree based on mitochondrial sequence data revealed multiple examples of trans-specific polymorphism, including sharing of identical DRB and DQA alleles among distantly related species of Ctenomys. These findings suggest that MHC genes in these animals have historically been subject to balancing selection and yield new insights into the complex suite of forces shaping MHC diversity in free-living vertebrates.  相似文献   

4.
Xu S  Ju J  Zhou X  Wang L  Zhou K  Yang G 《PloS one》2012,7(1):e30423
To further extend our understanding of the mechanism causing the current nearly extinct status of the baiji (Lipotes vexillifer), one of the most critically endangered species in the world, genetic diversity at the major histocompatibility complex (MHC) class II DRB locus was investigated in the baiji. Nine highly divergent DRB alleles were identified in 17 samples, with an average of 28.4 (13.2%) nucleotide difference and 16.7 (23.5%) amino acid difference between alleles. The unexpectedly high levels of DRB allelic diversity in the baiji may partly be attributable to its evolutionary adaptations to the freshwater environment which is regarded to have a higher parasite diversity compared to the marine environment. In addition, balancing selection was found to be the main mechanisms in generating sequence diversity at baiji DRB gene. Considerable sequence variation at the adaptive MHC genes despite of significant loss of neutral genetic variation in baiji genome might suggest that intense selection has overpowered random genetic drift as the main evolutionary forces, which further suggested that the critically endangered or nearly extinct status of the baiji is not an outcome of genetic collapse.  相似文献   

5.
DNA sequences of alleles at the merozoite surface antigen-1 (MSA-1) gene locus of the malaria parasite Plasmodium falciparum show evidence of repeated past recombination events between alleles. These include both (1) nonreciprocal recombination events that have homogenized certain gene regions among alleles and (2) reciprocal recombination events that have combined allelic segments with divergent evolutionary histories, thereby enhancing allelic diversity. In three different gene regions, the rate of nonsynonymous nucleotide substitution significantly exceeds that of synonymous nucleotide substitution, implying that positive Darwinian selection has acted to diversify alleles at the amino acid level. The MSA-1 polymorphism seems to be quite ancient; the two major allelic types have been maintained for approximately 35 Myr.  相似文献   

6.
Gila trout (Oncorhynchus gilae gilae) was federally protected in 1973 because of severe declines in abundance and geographic range size. At present, four relict genetic lineages of the species remain in mountain streams of New Mexico and Arizona, USA. Management actions aimed at species recovery, including hatchery production and restocking of formerly occupied streams, have been guided by information from non-functional genetic markers. In this study, we investigated genetic variation at exon 2 of the major histocompatibility complex (MHC) class II β gene that is involved in pathogen resistance and thus presumably under natural selection. Phylogenetic analysis revealed trans-species polymorphism and a significantly high ratio of non-synonymous to synonymous amino acid changes consistent with the action of historical balancing selection that maintained diversity at this locus in the past. However, Gila trout exhibited low allelic diversity (five alleles from 142 individuals assayed) compared to some other salmonid fishes, and populations that originated exclusively from hatcheries possessed three or fewer MHC alleles. Comparative analysis of genetic variation at MHC and six presumably neutrally evolving microsatellite loci revealed that genetic drift cannot be rejected as a primary force governing evolution of MHC in contemporary populations of Gila trout. Maintenance of diversity at MHC will require careful implementation of hatchery breeding protocols and continued protection of wild populations to prevent loss of allelic diversity due to drift.  相似文献   

7.
Miller KM  Kaukinen KH  Beacham TD  Withler RE 《Genetica》2001,111(1-3):237-257
Balancing selection maintains high levels of polymorphism and heterozygosity in genes of the MHC (major histocompatibility complex) of vertebrate organisms, and promotes long evolutionary persistence of individual alleles and strongly differentiated allelic lineages. In this study, genetic variation at the MHC class II DAB-beta1 locus was examined in 31 populations of sockeye salmon (Oncorhynchus nerka) inhabiting the Fraser River drainage of British Columbia, Canada. Twenty-five percent of variation at the locus was partitioned among sockeye populations, as compared with 5% at neutral genetic markers. Geographic heterogeneity of balancing selection was detected among four regions in the Fraser River drainage and among lake systems within regions. High levels of beta1 allelic diversity and heterozygosity, as well as distributions of alleles and allelic lineages that were more even than expected for a neutral locus, indicated the presence of balancing selection in populations throughout much of the interior Fraser drainage. However, proximate populations in the upper Fraser region, and four of six populations from the lower Fraser drainage, exhibited much lower levels of genetic diversity and had beta1 allele frequency distributions in conformance with those expected for a neutral locus, or a locus under directional selection. Pair-wise FST values for beta1 averaged 0.19 and tended to exceed the corresponding values estimated for neutral loci at all levels of population structure, although they were lower among populations experiencing balancing selection than among other populations. The apparent heterogeneity in selection resulted in strong genetic differentiation between geographically proximate populations with and without detectable levels of balancing selection, in stark contrast to observations at neutral loci. The strong partitioning and complex structure of beta1 diversity within and among sockeye populations on a small geographic scale illustrates the value of incorporating adaptive variation into conservation planning for the species.  相似文献   

8.
Populations of Arctic foxes (Vulpes lagopus) have been isolated on two of the Commander Islands (Bering and Mednyi) from the circumpolar distributed mainland population since the Pleistocene. In 1970-1980, an epizootic outbreak of mange caused a severe population decline on Mednyi Island. Genes of the major histocompatibility complex (MHC) play a primary role in infectious disease resistance. The main objectives of our study were to compare contemporary variation of MHC class II in mainland and island Arctic foxes, and to document the effects of the isolation and the recent bottleneck on MHC polymorphism by analyzing samples from historical and contemporary Arctic foxes. In 184 individuals, we found 25 unique MHC class II DRB and DQB alleles, and identified evidence of balancing selection maintaining allelic lineages over time at both loci. Twenty different MHC alleles were observed in mainland foxes and eight in Bering Island foxes. The historical Mednyi population contained five alleles and all contemporary individuals were monomorphic at both DRB and DQB. Our data indicate that despite positive and diversifying selection leading to elevated rates of amino acid replacement in functionally important antigen-binding sites, below a certain population size, balancing selection may not be strong enough to maintain genetic diversity in functionally important genes. This may have important fitness consequences and might explain the high pathogen susceptibility in some island populations. This is the first study that compares MHC diversity before and after a bottleneck in a wild canid population using DNA from museum samples.  相似文献   

9.
Genetic variation at the major histocompatibility complex (MHC) is vitally important for wildlife populations to respond to pathogen threats. As natural populations can fluctuate greatly in size, a key issue concerns how population cycles and bottlenecks that could reduce genetic diversity will influence MHC genes. Using 454 sequencing, we characterized genetic diversity at the DRB Class II locus in montane voles (Microtus montanus), a North American rodent that regularly undergoes high‐amplitude fluctuations in population size. We tested for evidence of historic balancing selection, recombination, and gene duplication to identify mechanisms maintaining allelic diversity. Counter to our expectations, we found strong evidence of purifying selection acting on the DRB locus in montane voles. We speculate that the interplay between population fluctuations and gene duplication might be responsible for the weak evidence of historic balancing selection and strong evidence of purifying selection detected. To further explore this idea, we conducted a phylogenetically controlled comparative analysis across 16 rodent species with varying demographic histories and MHC duplication events (based on the maximum number of alleles detected per individual). On the basis of phylogenetic generalized linear model‐averaging, we found evidence that the estimated number of duplicated loci was positively related to allelic diversity and, surprisingly, to the strength of purifying selection at the DRB locus. Our analyses also revealed that species that had undergone population bottlenecks had lower allelic richness than stable species. This study highlights the need to consider demographic history and genetic structure alongside patterns of natural selection to understand resulting patterns of genetic variation at the MHC.  相似文献   

10.
The major histocompatibility complex is one of the best studied systems in vertebrates providing evidence for the long-term action of selection. Here, we examined the intra- and inter-population genetic diversity of the MHC class II DRB locus in European brown hare (Lepus europaeus) and correlated the results with genetic variability already estimated from the MHC DQA locus and from maternally (mitochondrial DNA (mtDNA)) and biparentally (allozymes, microsatellites) inherited loci. L. europaeus showed remarkable genetic polymorphism in both DQA and DRB1 loci. The Anatolian populations exhibited the highest genetic polymorphism for both loci. Balancing selection has established increased variability in the European populations despite the founder effects after the last glaciation. Different evolutionary rates were traced for DRB1 and DQA loci, as evidenced by the higher number of common DRB1 than DQA alleles and the greater differences between DRB1 alleles with common origin in comparison with DQA alleles. The high number of rare alleles with low frequencies detected implies that frequency-dependent selection drives MHC evolution in the brown hare through the advantage of rare alleles. Both loci were under the influence of positive selection within the peptide-binding region. The functional polymorphism, recorded as amino acid substitutions within the binding pockets, fell also within distinct geographic patterns, yet it was much narrower than the genetic polymorphism. We hypothesize that certain structural and functional characteristics of the binding pockets set limitations to the actual shape of genetic polymorphism in MHC.  相似文献   

11.
The origin of allelic polymorphism in genes of the major histocompatibility complex represents a central topic in evolutionary genetics as it is probably the most polymorphic region in the nuclear genome of vertebrates. Accordingly, the analyses of genetic variability at these loci provide evidence complementary to the population genetics studies based on neutral loci. In this study, four wild boar populations, two from Italy (Florence region and Castelporziano Presidential Reserve, outside Rome) and one each from Hungary and Poland, were characterized at a highly polymorphic fragment including part of intron 1 and exon 2 of swine leukocyte antigen (SLA) class II DRB1 gene by direct sequencing and by cloning. Excluding the false alleles, a total of 18 different sequences were observed in 57 individuals. The high ratio of nonsynonymous (dN) vs synonymous (dS) substitution rates in the peptide-binding region supports the hypothesis that balancing selection is operating at this locus. A duplication event at the DRB1 gene was documented only in one Italian population with both copies being putatively active. This is the first evidence of a polymorphism for the number of copies of an SLA gene.  相似文献   

12.
Genes of the vertebrate major histocompatibility complex (MHC) are crucial to defense against infectious disease, provide an important measure of functional genetic diversity, and have been implicated in mate choice and kin recognition. As a result, MHC loci have been characterized for a number of vertebrate species, especially mammals; however, elephants are a notable exception. Our study is the first to characterize patterns of genetic diversity and natural selection in the elephant MHC. We did so using DNA sequences from a single, expressed DQA locus in elephants. We characterized six alleles in 30 African elephants (Loxodonta africana) and four alleles in three Asian elephants (Elephas maximus). In addition, for two of the African alleles and three of the Asian alleles, we characterized complete coding sequences (exons 1–5) and nearly complete non-coding sequences (introns 2–4) for the class II DQA loci. Compared to DQA in other wild mammals, we found moderate polymorphism and allelic diversity and similar patterns of selection; patterns of non-synonymous and synonymous substitutions were consistent with balancing selection acting on the peptides involved in antigen binding in the second exon. In addition, balancing selection has led to strong trans-species allelism that has maintained multiple allelic lineages across both genera of extant elephants for at least 6 million years. We discuss our results in the context of MHC diversity in other mammals and patterns of evolution in elephants.  相似文献   

13.
The genes of the major histocompatibility complex (MHC) are a central component of the immune system in vertebrates and have become important markers of functional, fitness-related genetic variation. We have investigated the evolutionary processes that generate diversity at MHC class I genes in a large population of an archaic reptile species, the tuatara (Sphenodon punctatus), found on Stephens Island, Cook Strait, New Zealand. We identified at least 2 highly polymorphic (UA type) loci and one locus (UZ) exhibiting low polymorphism. The UZ locus is characterized by low nucleotide diversity and weak balancing selection and may be either a nonclassical class I gene or a pseudogene. In contrast, the UA-type alleles have high nucleotide diversity and show evidence of balancing selection at putative peptide-binding sites. Twenty-one different UA-type genotypes were identified among 26 individuals, suggesting that the Stephens Island population has high levels of MHC class I variation. UA-type allelic diversity is generated by a mixture of point mutation and gene conversion. As has been found in birds and fish, gene conversion obscures the genealogical relationships among alleles and prevents the assignment of alleles to loci. Our results suggest that the molecular mechanisms that underpin MHC evolution in nonmammals make locus-specific amplification impossible in some species.  相似文献   

14.
The fragmentation of populations typically enhances depletion of genetic variation, but highly polymorphic major histocompatibility complex (MHC) genes are thought to be under balancing selection and therefore retain polymorphism despite population bottlenecks. In this study, we investigate MHC DRB (class II) exon 2 variation in 14 spotted suslik populations from two regions differing in their degree of habitat fragmentation and gene flow. We found 16 alleles that segregated in a sample of 248 individuals. The alleles were highly divergent and revealed the hallmark signs of positive selection acting on them in the past, showing a significant excess of nonsynonymous substitutions. This excess was concentrated in putative antigen‐binding sites, which suggests that past selection was driven by pathogens. MHC diversity was significantly lower in fragmented western populations than in the eastern populations, characterized by significant gene flow. In contrast to neutral variation, amova did not reveal genetic differentiation between the two regions. This may indicate similar selective pressures shaping MHC variation in both regions until the recent past. However, MHC allelic richness within a population was correlated with that for microsatellites. FST outlier analyses have shown that population differentiation at DRB was neither higher nor lower than expected under neutrality. The results suggest that selection on MHC is not strong enough to counteract drift that results from recent fragmentation of spotted suslik populations.  相似文献   

15.
The major histocompatibility complex (MHC) harbours some of the most polymorphic loci in vertebrate genomes. MHC genes are thought to be subject to some form of balancing selection, most likely pathogen‐mediated selection. Hence, MHC genes are excellent candidates for exploring adaptive processes. In this study, we investigated the genetic variation at exon 2 of the DRB class II MHC locus in 191 alpine chamois (Rupicapra rupicapra) from 10 populations in the eastern Alps of Italy. In particular, we were interested in distinguishing and estimating the relative impact of selective and demographic factors, while taking into account the confounding effect of recombination. The extremely high dn/ds ratio and the presence of trans‐species polymorphisms suggest that a strong long‐term balancing selection effect has been operating at this locus throughout the evolutionary history of this species. We analysed patterns of genetic variation within and between populations, and the mitochondrial D‐loop polymorphism patterns were analysed to provide a baseline indicator of the effects of demographic processes. These analyses showed that (i) the chamois experienced a demographic decline in the last 5000–30 000 years, most likely related to the postglacial elevation in temperature; (ii) this demographic process can explain the results of neutrality tests applied to MHC variation within populations, but cannot justify the much weaker divergence between populations implied by MHC as opposed to mitochondrial DNA; (iii) similar sets of divergent alleles are probably maintained with similar frequencies by balancing selection in different populations, and this mechanism is also operating in small isolated populations, which are strongly affected by drift.  相似文献   

16.
Wan QH  Zhu L  Wu H  Fang SG 《Molecular ecology》2006,15(9):2441-2450
Habitat destruction and human activity have greatly impacted the natural history of the giant panda (Ailuropoda melanoleuca). Although the genetic diversity of neutral markers has been examined in this endangered species, no previous work has examined adaptive molecular polymorphisms in the giant panda. Here, the major histocompatibility complex (MHC) class II DRB locus was investigated in the giant panda, using single-strand conformation polymorphism (SSCP) and sequence analysis. Comparisons of DNA samples extracted from faecal and blood samples from the same individual revealed that the two materials yielded similar quantities and qualities of DNA, as well as identical SSCP patterns and allelic sequences, demonstrating the reliability of DNA isolation from panda faeces. Analysis of faecal samples from 60 giant pandas revealed relatively low number of alleles: seven alleles. However, the alleles were quite divergent, varying from each other by a range of 7-47 nucleotide substitutions (4-25 amino acid substitutions). Construction of a neighbour-joining tree and comparisons among DRB alleles from other species revealed that both similar and highly divergent alleles survived in the bottlenecked panda populations. Despite species-specific primers used and excellent faecal DNA isolated, a lower level of heterozygosity than expected was still observed due to inbreeding. There were three types of evidence supporting the presence of balancing selection in the giant panda: (i) an obvious excess of nonsynonymous substitutions over synonymous at the antigen-binding positions; (ii) trans-species evolution of two alleles between the giant panda and other felids; and (iii) a more even distribution of alleles than expected from neutrality.  相似文献   

17.
Babik W  Durka W  Radwan J 《Molecular ecology》2005,14(14):4249-4257
Major histocompatibility complex (MHC) genes, coding molecules which play an important role in immune response, are the most polymorphic genes known in vertebrates. However, MHC polymorphism in some species is limited. MHC monomorphism at several MHC class I and II loci was previously reported for two neighbouring northern European populations of the Eurasian beaver (Castor fiber) and reduced selection for polymorphism has been hypothesized. Here, we analysed a partial sequence of the second exon of the MHC II DRB locus from seven relict European and Asian beaver populations. We detected 10 unique alleles among 76 beavers analysed. Only a western Siberian population was polymorphic, with four alleles detected in 10 individuals. Each of the remaining populations was fixed for a different allele. Sequences showed considerable divergence, suggesting the long persistence of allelic lineages. A significant excess of nonsynonymous substitutions was detected at the antigen binding sites, indicating that sequence evolution of beaver DRB was driven by positive selection. Current MHC monomorphism in the majority of populations may be the result of the superimposition of the recent bottleneck on pre-existing genetic structure resulting from population subdivision and differential pathogen pressure.  相似文献   

18.
The major histocompatibility complex (MHC) is a key model of genetic polymorphism, but the mechanisms underlying its extreme variability are debated. Most hypotheses for MHC diversity focus on pathogen-driven selection and predict that MHC polymorphism evolves under the pressure of a diverse parasite fauna. Several studies reported that certain alleles offer protection against certain parasites, yet it remains unclear whether variation in parasite pressure more generally covaries with allelic diversity and rates of molecular evolution of MHC across species. We tested this prediction in a comparative study of 41 primate species. We characterized polymorphism of the exon 2 of DRB region of the MHC class II. Our phylogenetic analyses controlled for the potential effects of neutral mutation rate, population size, geographic origin and body mass and revealed that nematode species richness associates positively with nonsynonymous nucleotide substitution rate at the functional part of the molecule. We failed to find evidence for allelic diversity being strongly related to parasite species richness. Continental distribution was a strong predictor of both allelic diversity and substitution rate, with higher values in Malagasy and Neotropical primates. These results indicate that parasite pressure can influence the different estimates of MHC polymorphism, whereas geography plays an independent role in the natural history of MHC.  相似文献   

19.
The major histocompatability complex (MHC) is a multigene family of receptors that bind and present antigenic peptides to T-cells. Genes of the MHC are characterized by an outstanding genetic polymorphism, which is considered to be maintained by positive selection. Sites involved in peptide binding form binding pockets (P) that are collectively termed the peptide-binding region (PBR). In this study, we examined the level of MHC genetic diversity within and among natural populations of brown hare ( Lepus europaeus ) from Europe and Anatolia choosing for analysis of the second exon of the DQA locus, one of the most polymorphic class II loci. We aimed at an integrated population genetic analysis of L. europeaus by (i) correlating MHC polymorphism to genetic variability and phylogenetic status estimated previously from maternally (mtDNA) and biparentally (allozymes, microsatellites) inherited loci; and (ii) comparing full-length exon amino acid polymorphism with functional polymorphism in the PBR and the binding pockets P1, P6 and P9. A substantial level of DQA exon 2 polymorphism was detected with two completely different set of alleles between the Anatolian and European populations. However, the phylogeny of full-length exon 2 Leeu-DQA alleles did not show a strong phylogeographic signal. The presence of balancing selection was supported by a statistically significant excess of nonsynonymous substitutions over synonymous in the PBR and a trans-species pattern of evolution detected after phylogenetic reconstruction. The differentiating patterns detected between genetic and functional polymorphism, i.e. the number and the distribution of pocket variants within and among populations, indicated a hierarchical action of selection pressures.  相似文献   

20.
The depletion of variation at MHC loci, which play a crucial role in pathogen recognition, has been postulated to be one of important extinction risk factors for endangered populations. Thus, it is important to understand how selection affects the level of polymorphism in these genes when populations undergo a reduction in size. We followed MHC diversity in computer simulations of population bottlenecks. The fates of MHC alleles in the simulations were determined either by drift, or by balancing selection resulting from host–parasite coevolution. We found that the impact of selection on MHC polymorphism in bottlenecked populations was dependent upon the timescales involved. Initially, selection maintained lower number of alleles than drift, but after ~40 generations of hosts selection maintained higher MHC diversity, as compared to drift. The adverse effects of decreased MHC polymorphism on population viability may be, to some extent, compensated for if selection helps to retain MHC alleles which show high functional diversity, which should allow protection against a broader range of pathogens. Our simulation shows, however, that the mean divergence of alleles retained under selection in bottlenecked populations is not, on average, significantly higher than the divergence due to drift.  相似文献   

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