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Testing natural selection vs. genetic drift in phenotypic evolution using quantitative trait locus data.

Evolutionary biologists have long sought a way to determine whether a phenotypic difference between two taxa was caused by natural selection or random genetic drift. Here I argue that data from quantitative trait locus (QTL) analyses can be used to test the null hypothesis of neutral phenotypic evolution. I propose a sign test that compares the observed number of plus and minus alleles in the "high line" with that expected under neutrality, conditioning on the known phenotypic difference between the taxa. Rejection of the null hypothesis implies a role for directional natural selection. This test is applicable to any character in any organism in which QTL analysis can be performed.

Alleles↗

Allele frequency misspecification: effect on power and Type I error of model-dependent linkage analysis of quantitative traits under random ascertainment.

BACKGROUND: Studies of model-based linkage analysis show that trait or marker model misspecification leads to decreasing power or increasing Type I error rate. An increase in Type I error rate is seen when marker related parameters (e.g., allele frequencies) are misspecified and ascertainment is through the trait, but lod-score methods are expected to be robust when ascertainment is random (as is often the case in linkage studies of quantitative traits). In previous studies, the power of lod-score linkage analysis using the "correct" generating model for the trait was found to increase when the marker allele frequencies were misspecified and parental data were missing. An investigation of Type I error rates, conducted in the absence of parental genotype data and with misspecification of marker allele frequencies, showed that an inflation in Type I error rate was the cause of at least part of this apparent increased power. To investigate whether the observed inflation in Type I error rate in model-based LOD score linkage was due to sampling variation, the trait model was estimated from each sample using REGCHUNT, an automated segregation analysis program used to fit models by maximum likelihood using many different sets of initial parameter estimates. RESULTS: The Type I error rates observed using the trait models generated by REGCHUNT were usually closer to the nominal levels than those obtained when assuming the generating trait model. CONCLUSION: This suggests that the observed inflation of Type I error upon misspecification of marker allele frequencies is at least partially due to sampling variation. Thus, with missing parental genotype data, lod-score linkage is not as robust to misspecification of marker allele frequencies as has been commonly thought.

Alleles↗

Sex effect on clinical and immunologic quantitative trait loci in a murine model of rheumatoid arthritis.

OBJECTIVE: To explore the effect of sex on clinical and immunologic traits in major histocompatibility complex-matched (H-2d) F(2) hybrid mice with proteoglycan (PG)-induced arthritis and to identify how the quantitative trait locus (QTL) on the X chromosome influences the onset QTL of another chromosome. METHODS: (BALB/c x DBA/2)F(2) hybrid mice were immunized with cartilage PG, and a genome-wide linkage analysis was performed using >200 simple sequence-length polymorphic markers. The major clinical traits (susceptibility, onset, and severity) were assessed, and PG-specific T and B cell responses, and the production of proinflammatory and antiinflammatory cytokines (tumor necrosis factor alpha, interleukin-1 [IL-1], IL-6, interferon-gamma, IL-4, IL-10, and IL-12) were measured in 133 arthritic and 426 nonarthritic female and male F(2) hybrid mice. The major clinical and immunologic traits were linked to genetic loci, and potential linkages among these QTLs and the effect of sex were analyzed. RESULTS: Thirteen QTLs reported in previous studies were confirmed. Binary traits (susceptibility to arthritis) and disease onset were female specific and were identified on chromosomes 3, 7, 10, 11, 13, and X. QTLs for disease severity were mostly male specific and were located on chromosomes 1, 4, 5, 8, 14, 15, and 19. In addition, we identified 4 new QTLs for the onset of arthritis on chromosomes 3, 4, and 11, and 1 new QTL for severity on chromosome 14; all showed a strong gender association. A locus on the X chromosome interacted with a QTL on chromosome 10, and these 2 loci together seemed to control disease incidence and onset. Most of the clinical traits (QTLs) shared common regions with the immunologic traits and frequently showed a locus-locus interaction. CONCLUSION: Numerous immunologic QTLs overlap with clinical QTLs, thus providing information about possible mechanisms underlying QTL function. Disease susceptibility and onset showed predominant linkage with the female sex, under the control of a QTL on the X chromosome, while the severity QTLs were more strongly linked to the male sex.

Animals↗

A bivalent polyploid model for mapping quantitative trait loci in outcrossing tetraploids.

Two major aspects have made the genetic and genomic study of polyploids extremely difficult. First, increased allelic or nonallelic combinations due to multiple alleles result in complex gene actions and interactions for quantitative trait loci (QTL) in polyploids. Second, meiotic configurations in polyploids undergo a complex biological process including either bivalent or multivalent formation, or both. For bivalent polyploids, different degrees of preferential chromosome pairings may occur during meiosis. In this article, we develop a maximum-likelihood-based model for mapping QTL in tetraploids by considering the quantitative inheritance and meiotic mechanism of bivalent polyploids. This bivalent polyploid model is implemented with the EM algorithm to simultaneously estimate QTL position, QTL effects, and QTL-marker linkage phases by incorporating the impact of a cytological parameter determining bivalent chromosome pairings (the preferential pairing factor). Simulation studies are performed to investigate the performance and robustness of our statistical method for parameter estimation. The implication and extension of the bivalent polyploid model are discussed.

Algorithms↗

The genetic basis of the interspecific differences in wing size in Nasonia (Hymenoptera; Pteromalidae): major quantitative trait loci and epistasis.

There is a 2.5-fold difference in male wing size between two haplodiploid insect species, Nasonia vitripennis and N. giraulti. The haploidy of males facilitated a full genomic screen for quantitative trait loci (QTL) affecting wing size and the detection of epistatic interactions. A QTL analysis of the interspecific wing-size difference revealed QTL with major effects and epistatic interactions among loci affecting the trait. We analyzed 178 hybrid males and initially found two major QTL for wing length, one for wing width, three for a normalized wing-size variable, and five for wing seta density. One QTL for wing width explains 38.1% of the phenotypic variance, and the same QTL explains 22% of the phenotypic variance in normalized wing size. This corresponds to a region previously introgressed from N. giraulti into N. vitripennis that accounts for 44% of the normalized wing-size difference between the species. Significant epistatic interactions were also found that affect wing size and density of setae on the wing. Screening for pairwise epistatic interactions between loci on different linkage groups revealed four additional loci for wing length and four loci for normalized wing size that were not detected in the original QTL analysis. We propose that the evolution of smaller wings in N. vitripennis males is primarily the result of major mutations at few genomic regions and involves epistatic interactions among some loci.

Animals↗

Association studies for quantitative traits in structured populations.

Association between disease and genetic polymorphisms often contributes critical information in our search for the genetic components of common diseases. Devlin and Roeder [1999: Biometrics 55:997-1004] introduced genomic control, a statistical method that overcomes a drawback to the use of population-based samples for tests of association, namely spurious associations induced by population structure. In essence, genomic control (GC) uses markers throughout the genome to adjust for any inflation in test statistics due to substructure. To date, genomic control (GC) has been developed for binary traits and bi- or multiallelic markers. Tests of association using GC have been limited to single genes. In this report, we generalize GC to quantitative traits (QT) and multilocus models. Using statistical analysis and simulations, we show that GC controls spurious associations in reasonable settings of population substructure for QT models, including gene-gene interaction. Through simulations, we explore GC power for both random and selected samples, assuming the QT locus tested is causal and its specific heritability is 2.5-5%. We find that GC, combined with either random or selected samples, has good power in this setting, and that more complex models induce smaller GC corrections. The latter suggests greater power can be achieved by specifying more complex genetic models, but this observation only follows when such models are largely correct and specified a priori.

Alleles↗

Mapping a blood pressure quantitative trait locus to a 5.7-cM region in Dahl salt-sensitive rats.

A region on rat Chromosome (Chr) 2 of the Dahl salt-sensitive rat (S) was shown previously to contain a quantitative trait locus (QTL) for blood pressure (BP). This was achieved first by linkage, followed by the use of congenic strains. A congenic strain, designated S.MNS-D2Mit6/Adh, contained a segment of Chr 2 from the Milan Normotensive (MNS) rat in the S genetic background. Since the region containing the QTL was roughly 80 cM in size, a further reduction was needed towards the positional or candidate gene cloning. Currently, two congenic substrains were made from the original strain S.MNS-D2Mit6/Adh. One of these two substrains showed a BP-lowering effect, whereas the other substrain did not. Deducing the segment not shared in the two substrains, the BP QTL has to be present in a chromosome region of roughly 5.7 cM between the marker D2Rat303 and the locus for the neutroendopeptidase gene (Nep). Nep is not included within the segment. This region does not seem to contain any candidate genes well known for the BP control. Thus, the final identification of the QTL will most likely lead to the discovery of a brand new gene for the BP regulation.

Alcohol Dehydrogenase↗

Delimitation of the chromosomal region for a quantitative trait locus, qUVR- 10, conferring resistance to ultraviolet-B radiation in rice (Oryza sativa L.).

Wide variation in ultraviolet-B (UVB) resistance is observed among rice varieties. In a previous study, three quantitative trait loci (QTLs) controlling UVB resistance were detected by QTL analysis, using backcross inbred lines (BILs) derived from a cross between a japonica cultivar, 'Nipponbare', and an indica cultivar, 'Kasalath'. Among them, qUVR- 10, a QTL for UVB resistance on chromosome 10, showed the largest effect. Plants homozygous for the Nipponbare allele at qUVR- 10 were resistant to UVB, unlike those homozygous for the Kasalath allele. To determine more precisely the chromosomal location of qUVR- 10, we performed a linkage mapping of qUVR- 10 as a single Mendelian factor using advanced backcross progeny. Advanced progeny testing of F(4) families enabled us to determine the genotype classes of the qUVR- 10 locus with high reliability. As a result, qUVR- 10 was mapped between RFLP markers C60755S and C1757S, and co-segregated with C913A. In addition, a sequence showing high similarity to the Arabidopsis cyclobutane pyrimidine dimer (CPD) photolyase gene, which has been found to be involved in sensitivity to UV radiation in Arabidopsis and rice, was mapped in the candidate genomic region of qUVR- 10. This result suggests that the CPD photolyase gene is a positional candidate for qUVR- 10.

Chromosome Mapping↗

Mapping quantitative trait loci by an extension of the Haley-Knott regression method using estimating equations.

The Haley-Knott (HK) regression method continues to be a popular approximation to standard interval mapping (IM) of quantitative trait loci (QTL) in experimental crosses. The HK method is favored for its dramatic reduction in computation time compared to the IM method, something that is particularly important in simultaneous searches for multiple interacting QTL. While the HK method often approximates the IM method well in estimating QTL effects and in power to detect QTL, it may perform poorly if, for example, there is strong epistasis between QTL or if QTL are linked. Also, it is well known that the estimation of the residual variance by the HK method is biased. Here, we present an extension of the HK method that uses estimating equations based on both means and variances. For normally distributed phenotypes this estimating equation (EE) method is more efficient than the HK method. Furthermore, computer simulations show that the EE method performs well for very different genetic models and data set structures, including nonnormal phenotype distributions, nonrandom missing data patterns, varying degrees of epistasis, and varying degrees of linkage between QTL. The EE method retains key qualities of the HK method such as computational speed and robustness against nonnormal phenotype distributions, while approximating the IM method better in terms of accuracy and precision of parameter estimates and power to detect QTL.

Chromosome Mapping↗

Complete genome searches for quantitative trait loci controlling blood pressure and related traits in four segregating populations derived from Dahl hypertensive rats.

The Dahl salt-sensitive rat is one of the principal animal models of hereditary hypertension. Genome-wide searches were undertaken to detect quantitative trait loci (QTLs) that influence blood pressure, cardiac mass, and body weight in four F2 populations derived from Dahl salt-sensitive rats and different inbred normotensive control strains of rat. We detected three QTLs associated with one or more of the phenotypes, using a stringent statistical criterion for linkage (p < 0.00003). These included a novel QTL linked to blood pressure on rat Chromosome (Chr) 12, and another QTL on rat Chr 3 linked to body weight. A QTL on rat Chr 10 for which linkage to blood pressure has been described in other crosses was found to be a principal determinant of blood pressure and cardiac mass in some but not all of the crosses examined here. Three other regions showed evidence of linkage to these phenotypes with a less stringent statistical criterion of linkage at QTLs previously reported in other studies. As part of our study, microsatellite markers have been developed for three candidate genes for investigation in hypertension, and the genes have been localized by linkage mapping. These are: the rat Gs alpha subunit (Gnas) gene, the alpha-1B adrenergic receptor (Adra1b), and the Na+, K+-ATPase beta2 subunit (Atp1b2) gene.

Animals↗

Biased estimators of quantitative trait locus heritability and location in interval mapping.

In many empirical studies, it has been observed that genome scans yield biased estimates of heritability, as well as genetic effects. It is widely accepted that quantitative trait locus (QTL) mapping is a model selection procedure, and that the overestimation of genetic effects is the result of using the same data for model selection as estimation of parameters. There are two key steps in QTL modeling, each of which biases the estimation of genetic effects. First, test procedures are employed to select the regions of the genome for which there is significant evidence for the presence of QTL. Second, and most important for this demonstration, estimates of the genetic effects are reported only at the locations for which the evidence is maximal. We demonstrate that even when we know there is just one QTL present (ignoring the testing bias), and we use interval mapping to estimate its location and effect, the estimator of the effect will be biased. As evidence, we present results of simulations investigating the relative importance of the two sources of bias and the dependence of bias of heritability estimators on the true QTL heritability, sample size, and the length of the investigated part of the genome. Moreover, we present results of simulations demonstrating the skewness of the distribution of estimators of QTL locations and the resulting bias in estimation of location. We use computer simulations to investigate the dependence of this bias on the true QTL location, heritability, and the sample size.

Bias↗

Sex-specific and non-sex-specific quantitative trait loci contribute to normal variation in bone mineral density in men.

INTRODUCTION: A major determinant of osteoporotic fracture is peak bone mineral density (BMD). In women peak BMD is highly heritable and several quantitative trait loci (QTL) have been reported. There are few comparable data in men. This study in men aimed to establish the heritability of peak BMD, identify QTL contributing to normal variation in BMD, and determine which QTL might be sex specific. METHODS: BMD at the spine and hip were measured in 323 pairs of brothers aged 18-61 yr (264 white pairs; 59 black pairs). Heritability was calculated and linkage analysis performed with spine and hip BMD phenotypes. RESULTS: Heritability estimates ranged from 0.61 to 0.87 and were not significantly different between white and black men. A 9-cM genome-wide scan followed by genotyping with more closely spaced markers identified suggestive QTL (logarithm of the odds > 2.2) for BMD on chromosomes 1q (spine), 2p (spine), 2q (hip), 14p (spine), 18 (hip), and 21 (hip). Comparison with published data in 774 pairs of premenopausal sisters suggested that the QTL on 1q (spine), 2q (hip), 14p (spine), and 21q (hip) were male specific, whereas those on 2p (spine) and 18 (hip) were not sex specific. CONCLUSIONS: This study demonstrates that BMD in healthy men is highly heritable with similar estimates of the genetic contribution to BMD in both whites and blacks. Of the six QTL identified, three were specific for spine BMD and three were specific for hip BMD. When compared with published QTL for peak BMD in women from the same geographical region, four of the QTL appeared to be male specific. The occurrence of sex-specific genes in humans for BMD has potentially important implications for the pathogenesis and treatment of osteoporosis.

Adolescent↗

[Relationship between heterozygosity and quantitative traits: intralocus interactions and multiple-locus averaging].

The dependence of the expression of genotypic values (Y) on gene dosage (X) have been analyzed for four types of intralocus interactions (additivity, dominance, overdominance, and neutrality) using a linear model. Artificial numerical examples have been used to demonstrate that X and Y are positively associated with each other in the cases of additivity, dominance, and overdominance and are not associated in the case of neutrality. The averaging of single-locus genotypic values to obtain multiple-locus genotypes yields different results for different types of intralocus interactions. Genotypic values and individual heterozygosity are positively correlated with each other in the cases of dominance and overdominance and are negatively correlated in the case of additivity. In the case of neutrality, there is still no correlation after averaging. The results obtained and their interpretation suggest a new view on the experimental studies and generalizations on the relationship between heterozygosity and quantitative traits.

Heterozygote↗

Quantitative trait loci for spawning date and body weight in rainbow trout: testing for conserved effects across ancestrally duplicated chromosomes.

We incorporated 69 microsatellite loci into an existing data set of 132 markers to test for quantitative trait loci (QTLs) affecting spawning date and body weight in a backcross between two outbred strains of rainbow trout (Oncorhynchus mykiss). Twenty-six linkage groups were identified and synteny of duplicated microsatellite markers was used to confirm 13 homeologous chromosome pairs. Gene-centromere data were used to localize the centromeres for 13 linkage groups whose orientations were previously unknown. We applied a combination of interval mapping and single marker analysis to the segregating maternal and paternal alleles at 201 microsatellite loci. Four spawning date QTLs with suggestive evidence for an additional two QTLs were detected in female trout spawning at 3 and 4 years of age. Similarly we detected three QTLs for body weight in females at 2 years of age plus four suggestive QTLs for this trait. We found marginal evidence that three pairs of ancestral homeologues contained detectable QTLs for the same trait. In one of the three pairs of homeologues, the duplicated QTL regions mapped to the same relative chromosomal location, while the exact localization of the QTL position in one of the other pairs was difficult to infer since it was based on data from a male-derived map. The existing data were unable to refute a hypothesis that duplicated functional genes will be maintained within the telomeric regions of salmonids due to preferential male-mediated crossing over in this region. Two of the four spawning date QTLs were detected on linkage groups with unknown homeologous relationships. QTLs with possible pleiotropic effects on both spawning date and body size were localized to two linkage groups.

Animals↗

Marker-assisted introgression of quantitative trait loci associated with plant regeneration ability in anther culture of Rice (Oryza sativa L.).

A marker-assisted selection (MAS) breeding program was used to improve the plant regenerability of indica rice. A significant quantitative trait loci (QTL) that is associated with the capacity for green plant regeneration in the anther culture of rice was mapped on chromosome 10 using recombinant inbred (RI) population from Milyang 23/Gihobyeo. The marker that was chosen to follow the QTL region was used in MAS. This marker co-segregated with the regeneration ability in F2 individuals that were derived from MGRI 079/IR 36. In order to clarify the relationship between this marker and plant regenerability, the backcross population was screened with a RFLP marker. The capacity of plant regeneration of the backcross population was clearly distinguished by the marker genotype. The development of near isogenic line (NILs) with high regenerability through MAS will save time, labor, and cost in indica rice breeding.

Biomarkers↗

Genetic and physiological architecture of early vigor in Aegilops tauschii, the D-genome donor of hexaploid wheat. A quantitative trait loci analysis.

Plant growth can be studied at different organizational levels, varying from cell, leaf, and shoot to the whole plant. The early growth of seedlings is important for the plant's establishment and its eventual success. Wheat (Triticum aestivum, genome AABBDD) seedlings exhibit a low early growth rate or early vigor. The germplasm of wheat is limited. Wild relatives constitute a source of genetic variation. We explored the physiological and genetic relationships among a range of early vigor traits in Aegilops tauschii, the D-genome donor. A genetic map was constructed with amplified fragment-length polymorphism and simple sequence repeat markers, and quantitative trait loci (QTL) analysis was performed on the F(4) population of recombinant inbred lines derived from a cross between contrasting accessions. The genetic map consisted of 10 linkage groups, which were assigned to the seven chromosomes and covered 68% of the D genome. QTL analysis revealed 87 mapped QTLs (log of the odds >2.65) in clusters, 3.1 QTLs per trait, explaining 32% of the phenotypic variance. Chromosomes 1D, 4D, and 7D harbored QTLs for relative growth rate, biomass allocation, specific leaf area, leaf area ratio, and unit leaf rate. Chromosome 2D covered QTLs for rate and duration of leaf elongation, cell production rate, and cell length. Chromosome 5D harbored QTLs for the total leaf mass and area and growth rate of the number of leaves and tillers. The results show that several physiological correlations between growth traits have a genetic basis. Genetic links between traits are not absolute, opening perspectives for identification of favorable alleles in A. tauschii to improve early vigor in wheat.

Biomass↗

Linkage analysis of extremely discordant and concordant sibling pairs identifies quantitative trait loci influencing variation in human menopausal age.

Age at natural menopause may be used as parameter for evaluating the rate of ovarian aging. Environmental factors determine only a small part of the large variation in menopausal age. Studies have shown that genetic factors are likely to be involved in variation in menopausal age. To identify quantitative-trait loci for this trait, we performed a genomewide linkage study with age at natural menopause as a continuous quantitative phenotype in Dutch sister pairs, through use of a selective sampling scheme. A total of 165 families were ascertained using extreme selected sampling and were genotyped for 417 markers. Data were analyzed by Haseman-Elston regression and by an adjusted variance-components analysis. Subgroup analyses for early and late menopausal age were conducted by Haseman-Elston regression. In the adjusted variance-components analysis, 12 chromosomes had a LOD score of > or =1.0. Two chromosomal regions showed suggestive linkage: 9q21.3 (LOD score 2.6) and Xp21.3 (LOD score 3.1). Haseman-Elston regression showed rather similar locations of the peaks but yielded lower LOD scores. A permutation test to obtain empirical P values resulted in a significant peak on the X chromosome. To our knowledge, this is the first study to attempt to identify loci responsible for variability in menopausal age and in which several chromosomal regions were identified with suggestive and significant linkage. Although the finding of the region on the X chromosome comes as no surprise, because of its widespread involvement in premature ovarian failure, the definition of which particular gene is involved is of great interest. The region on chromosome 9 deserves further consideration. Both findings require independent confirmation.

Aging↗

Utilization of marker-assisted congenics to map two blood pressure quantitative trait loci in Dahl rats.

A broad Chromosome (Chr) 10 region of the Dahl salt-sensitive (S) rat was shown by linkage and the use of congenic strains to contain a blood pressure (BP) quantitative trait locus (QTL). To further narrow down the region harboring the QTL, four congenic strains carrying smaller segments were made by replacing various segments of the S rats with the homologous segments of the Lewis (LEW) rats. The construction of these congenic strains was facilitated by a genome-wide marker screening. One congenic strain, assigned as S.L4, showed a BP-lowering effect, and the region harboring a BP QTL, designated QTL1, is localized to a segment of about 15 cM. Two other strains, assigned as S.L2 and S.L5, contained an overlapping segment, and both showed a BP-lowering effect. In contrast, the fourth congenic strain, assigned as S.L1, contained a smaller and shared fragment with S.L2 and S.L5, but it did not have a BP-lowering effect. Deducing from the segment in common in S.L2 and S.L5, and not shared between S.L1 and both congenic strains S.L2 and S.L5, the region harboring a QTL, designated as QTL2, was narrowed to about 12 cM. The current work showed the general applicability of the 'speed congenic' approach to map and fine-map BP QTL.

Animals↗