The linkage information content value of polymorphism genetic markers in model-free linkage analysis

Guo and Elston [Hum Hered 1999;49:112-118] developed a linkage information content (LIC) value to measure the informativeness of a marker for identity-by-descent (IBD) sharing status of relative pairs. LIC values were derived for five types of relative pairs: full sib, half sib, grandparent-grandchild, first cousin and avuncular. In this paper, we give corrected LIC values for full sib, grandparent-grandchild, first cousin and avuncular pairs, and indicate the availability of a computer program to calculate them.     

Highly informative dinucleotide repeat polymorphism at the D11S29 locus on chromosome 11q23

Summary The informativeness of locus D11S29 as a genetic marker was improved by the identification of a highly polymorphic (GT)_n repeat within the locus. Ten alleles were identified in parents of 40 Centre d'Etude du Polymorphisme Humain families and the polymorphism information content (PIC) was 0.77. The increased PIC value thus enables refinement of the linkage map of 11q23.     

Linkage strategies for genetically complex traits. III. The effect of marker polymorphism on analysis of affected relative pairs.

The results from the second paper of this series are reexamined for markers that are not completely polymorphic. A maximum lod score (MLS) criterion is defined for affected relative pairs. The expected MLS (EMLS) is calculated as a function of the marker polymorphic information content (PIC) for various values of lambda R (relative risk ratio) and different relative types by using simulations. An m-allele model with equal allele frequencies is employed. The EMLS is calculated for two sampling strategies: scheme 1, which uses pairs only, and scheme 2, which also includes additional informative relatives. For scheme 2, the percent of the maximum achievable EMLS (i.e., for a marker with a PIC of 1.0) is approximately equal to the marker PIC value for all relative types. For scheme 1, the EMLS is greatly diminished unless PIC is high, especially for distant relatives. For example, scheme 1 is not cost-effective for sibs unless PIC greater than .7; for second- and third-degree relatives, PIC must be greater than .85. Therefore, in general, it will be worthwhile to type additional relatives in linkage studies using affected pairs. The comparative value of sibs versus distant relatives depends on lambda R, recombination theta, and PIC. For large lambda R and PIC values, distant relatives are preferred. Alternatively, for smaller lambda R and PIC values, sibs are best.     

Microsatellite markers for population-genetic studies of shiitake (Lentinula edodes) strains

In order to analyze the genotyping of shiitake (Lentinula edodes, Berk.), one of commercially and widely grown edible mushrooms, we examined group of total 89 strains that are registered in Korea, Japan, and China respectively, using five microsatellite markers (Led A2, Led A8, Led B2, Led B6, and Led D6) registered in NCBI (National Center for Biotechnology Information). After we prepared synthesis of primers modified with 5′-FAM fluorescent dye and conducted PCR program, we obtained reasonable products. And then we performed microsatellite genotyping analysis using an ABI 3730xl Genetic Analyzer. According to genotyping analysis, the number of alleles of each microsatellite marker ranged from 5 to 14 with the average value of 8.2. The expected and the observed heterozygosity over all microsatellite ranged from 0.27–0.83 and 0.14–0.61. Among 5 microsatellite markers PIC (Polymorphism Information Content) values of Led A8, Led D6, and Led B6 resulted 0.82, 0.60, and 0.57 respectively. We observed that these values showed relatively high values discriminating from other values of microsatellite marker. The average of total values of Led A8, Led D6, and Led B6 came out 0.53 as result, which is higher than 0.5. As a result, this average can be subject to significant value to be used as marker. By using microsatellite marker we can analogically establish population relationships among shiitake (L. edodes) strains grown in East Asian region, develop new varieties, and propose discriminative criteria for different breeding and variety classification. Moreover, microsatellite markers enable us to obtain the genetic inheritance and information that can be used for protection of intellectual property rights.     

Microsatellite and minisatellite markers based DNA fingerprinting and genetic diversity of blast and ufra resistant genotypes

A total of 78 alleles and 29 loci were detected from nine microsatellite and three minisatellite markers, respectively across 26 blast and ufra disease resistant genotypes. For blast resistant genotypes, the Polymorphic Information Content (PIC) values ranged from 0.280 to 0.726 and RM21 was considered as the best marker. PIC values ranged from 0.5953 to 0.8296 for ufra resistant genotypes and RM23 was the best marker for characterization of ufra resistant genotypes. The genetic similarity analysis using UPGMA clustering generated nine clusters with coefficient of 0.66 for blast resistant genotypes while five genetic clusters with similarity coefficient of 0.42 for ufra resistant genotypes. In order to develop resistant varieties of two major diseases of rice, hybridisation should be made using the parents, BR29 and NJ70507, BR36 and NJ70507 for blast, while BR11 and Aokazi, BR3 and Aokazi, Rayda and BR3 and Rayda and BR11 for ufra.     

Statistical considerations for genome-wide scans: design and application of a novel software package POLYMORPHISM

OBJECTIVE: Given the cost and complexity of genome-wide scans, optimization of study design is of critical importance. Available algorithms only partially satisfy this need. We designed a software package called 'POLYMORPHISM' to meet these needs. METHODS: The program is designed to calculate linkage parameters for both 'single-point' and 'two-point' settings that are applicable also to incompletely informative microsatellite markers. In single-point analysis, the heterozygosity, polymorphism information content (PIC) and linkage information content (LIC) statistics based on marker allele frequencies are provided. In two-point analysis, joint PIC values for two markers, the conditional probability of detecting linkage phase, the frequency of double heterozygotes and the expected number of informative meioses are calculated. RESULTS: Results were obtained using S.A.G.E./DESPAIR (Design of Linkage Studies Based on Pairs of Relatives) in addition to applying this program to a Centre d'Etude du Polymorphisme pedigree-derived genotyping data set, which estimated critical parameters used in a two-stage genome scan. A single nucleotide polymorphism (SNP)-based one-stage genomic screen strategy is also considered. CONCLUSIONS: LIC values are crucial for getting accurate estimates on those parameters that are important for a two-stage genome screening study. Optimization of the cost-effectiveness of an SNP-based genomic screen strategy is possible by modeling a balance between marker information content and marker density.     

Genetic characterization of Salix alba L. and Salix fragilis L. by means of different PCR-derived marker systems

Abstract

Salix alba L. and Salix fragilis L. are two closely related willow species whose phenotypic features, showing a large and continuous variation, have a low diagnostic value for identifying pure species and interspecific hybrids. In this paper, the effectiveness of different multilocus PCR-based molecular markers, such as I-SSRs, RAPDs and AFLPs in detecting genetic polymorphisms able to discriminate the two willow species was evaluated by analysing a set of 12 reference samples. Three genetic similarity indexes, Dice, Jaccard and Simple Matching coefficient, were used for all possible pairwise comparisons of individuals, revealing the same trend of variation within and between species when different marker systems were used. Cluster analysis, based on Dice genetic similarity coefficient, clustered the individuals of S. alba and S. fragilis into two distinct subgroups, indicating that the gene pools are well differentiated. Moreover, a number of private alleles for each marker system allowed the discrimination of the two species because always present only in one of the two. The utility of different marker systems in discriminating willow species was evaluated by the Polymorphism Information Content (PIC) and the Marker Index (MI) parameters. The variation of Dice's indexes obtained from a different number of experiments in relation to the marker systems is discussed.     

An entropy-based measure of founder informativeness

Optimizing quantitative trait locus (QTL) mapping experiments requires a generalized measure of marker informativeness because variable information is obtained from different marker systems, marker distribution and pedigree types. Such a measure can be derived from the concept of Shannon entropy, a central concept in information theory. Here we introduce entropy-based founder informativeness (EFI), a new measure of information content generalized across pedigrees, maps, marker systems and mating configurations. We derived equations for inbred- and outbred-derived mapping populations. Mathematical properties of EFI include enhanced sensitivity to mapping population type and extension to any number of founders. To illustrate the use of EFI, we compared experimental designs for QTL mapping for three examples: (i) different marker systems for an F2 pedigree, (ii) different marker densities and sampling sizes for a BC1 pedigree and (iii) a comparison of haplotypic versus zygotic analyses of an outbred pedigree. As an a priori generalized measure of information content, EFI does not require phenotypic data for optimizing experimental designs for QTL mapping.     

Nonparametric simulation-based statistics for detecting linkage in general pedigrees.

We present here four nonparametric statistics for linkage analysis that test whether pairs of affected relatives share marker alleles more often than expected. These statistics are based on simulating the null distribution of a given statistic conditional on the unaffecteds' marker genotypes. Each statistic uses a different measure of marker sharing: the SimAPM statistic uses the simulation-based affected-pedigree-member measure based on identity-by-state (IBS) sharing. The SimKIN (kinship) measure is 1.0 for identity-by-descent (IBD) sharing, 0.0 for no IBD status sharing, and the kinship coefficient when the IBD status is ambiguous. The simulation-based IBD (SimIBD) statistic uses a recursive algorithm to determine the probability of two affecteds sharing a specific allele IBD. The SimISO statistic is identical to SimIBD, except that it also measures marker similarity between unaffected pairs. We evaluated our statistics on data simulated under different two-locus disease models, comparing our results to those obtained with several other nonparametric statistics. Use of IBD information produces dramatic increases in power over the SimAPM method, which uses only IBS information. The power of our best statistic in most cases meets or exceeds the power of the other nonparametric statistics. Furthermore, our statistics perform comparisons between all affected relative pairs within general pedigrees and are not restricted to sib pairs or nuclear families.     

Standardization and conversion of marker polymorphism measures

Large scale gene mapping efforts in domestic animals have generated and mapped a large number of genetic markers that are useful for mapping quantitative trait and disease loci and for DNA diagnostic purposes such as parentage testing. Marker polymorphism is an important criterion for selecting genetic markers in planning experiment for mapping quantitative trait loci or for DNA diagnostic purposes. Current formulations of marker polymorphism measures are functions of marker allele frequencies. In this study, two measures of marker polymorphism that are available from gene mapping studies and do not require allele frequencies were proposed and analyzed: the observed polymorphic information content (PIC) and the observed family information content (FIC). The observed FIC was more stable than the observed PIC because the observed FIC is unaffected by the variation in the frequency of heterozygous parents. However, both FIC and PIC are dependent on the gene mapping design. The effective number of alleles is recommended as a tool to standardize marker polymorphism measures so that polymorphism of different markers can be compared on an equal basis, and to obtain a new polymorphism measure (such an exclusion probability) from an existing measure (such as FIC). The usage of the effective number of alleles to standardize FIC, PIC and exclusion probabilities is illustrated using genetic markers in a published linkage map.     

The promises and problems of linkage analysis by using the current canine genome map

There have been major advances in the canine genome map over recent years, with an agreed karyotype for all 38 pairs of autosomes and an integrated linkage-radiation-hybrid map now available. An individual dog breed represents a closed, isolated population, and many suffer genetic diseases. Some are homologs of human conditions, and dogs represent naturally occurring, potentially useful large mammal models. Other conditions may be unique to this species, but study of these offers new insights into metabolic pathways. Linkage analysis may identify a locus linked to a particular condition. Dog pedigrees facilitate these studies by being relatively more informative than human families, although planned breeding strategies to maximize the informativeness may be required. A study of a late-onset, acquired heart disease, dilated cardiomyopathy (DCM), in Newfoundland dogs highlights some of the problems. The disease occurs naturally in pedigrees within the UK in dogs kept as pets and breeding stock. Problems encountered include confirmation of the mode of inheritance and determination of phenotype. A genome-wide linkage analysis study with over 200 markers failed to detect linkage. The study indicates that more detailed linkage maps are required, and further synteny information between dog and human gained before study of diseases affecting naturally occurring families of dogs from inbred pedigrees may have maximal chance of success in order to utilize this model.     

Genetic structure of susceptibility traits for hip dysplasia and microsatellite informativeness of an outcrossed canine pedigree

An outcrossed canine pedigree was developed for quantitative trait locus (QTL) mapping of hip dysplasia by breeding dysplastic Labrador retrievers to trait-free greyhounds. Measured susceptibility traits included age at onset of femoral capital chondroepiphyseal ossification (OSS), maximum hip distraction (laxity) index (DI), and the dorsolateral subluxation (DLS) score. The pedigrees consisted of 147 dogs representing four generations. For 59 dogs genotyped with 65 microsatellites, the median heterozygosity and polymorphic information content (PIC) values of the F(1) generation were 0.82 and 0.68, respectively. Seventy-seven percent of microsatellites had a PIC greater than 0.59 in the F(1)s. Ninety-six percent of alleles showed Mendelian inheritance. Based on marker informativeness, approximately 350 randomly selected markers would be required for genome-wide screening to obtain an average interval between informative markers of 10 cM. Heritability was estimated as 0.43, 0.5, and 0.61 for OSS, DI, and the DLS score, respectively. Biometric estimates of the mean (+/- variance) effective number of segregating QTLs was 1.2 (+/- 0.05), 0.8 (+/- 0.02), and 1.0 (+/- 0.03) for OSS, DI, and the DLS score, respectively. The distributions of simulated backcross trait data suggested that the loci controlling these traits acted additively and that the DI may be controlled by a major locus. When combined with previous power and quantitative genetic analyses, these estimates indicate that this pedigree is informative for QTL mapping of hip dysplasia traits.     

On estimating the heterozygosity and polymorphism information content value

The polymorphism information content (PIC) value is commonly used in genetics as a measure of polymorphism for a marker locus used in linkage analysis. In this communication we have derived the uniformly minimum variance unbiased estimator of PIC along with its exact variance. We have also calculated the exact variance of the maximum likelihood estimator of PIC which is asymptotically an unbiased estimator. In order to find this variance we have derived a recursive formula to calculate the moments of any polynomial in a set of variables that are multinomially distributed.     

On computation of p-values in parametric linkage analysis

Parametric linkage analysis is usually used to find chromosomal regions linked to a disease (phenotype) that is described with a specific genetic model. This is done by investigating the relations between the disease and genetic markers, that is, well-characterized loci of known position with a clear Mendelian mode of inheritance. Assume we have found an interesting region on a chromosome that we suspect is linked to the disease. Then we want to test the hypothesis of no linkage versus the alternative one of linkage. As a measure we use the maximal lod score Z(max). It is well known that the maximal lod score has asymptotically a (2 ln 10)(-1) x (1/2 chi2(0) + 1/2 chi2(1)) distribution under the null hypothesis of no linkage when only one point (one marker) on the chromosome is studied. In this paper, we show, both by simulations and theoretical arguments, that the null hypothesis distribution of Zmax has no simple form when more than one marker is used (multipoint analysis). In fact, the distribution of Zmax depends on the number of families, their structure, the assumed genetic model, marker denseness, and marker informativity. This means that a constant critical limit of Zmax leads to tests associated with different significance levels. Because of the above-mentioned problems, from the statistical point of view the maximal lod score should be supplemented by a p-value when results are reported.     

Standardization and conversion of marker polymorphism measures

Abstract

Large scale gene mapping efforts in domestic animals have generated and mapped a large number of genetic markers that are useful for mapping quantitative trait and disease loci and for DNA diagnostic purposes such as parentage testing. Marker polymorphism is an important criterion for selecting genetic markers in planning experiment for mapping quantitative trait loci or for DNA diagnostic purposes. Current formulations of marker polymorphism measures are functions of marker allele frequencies. In this study, two measures of marker polymorphism that are available from gene mapping studies and do not require allele frequencies were proposed and analyzed: the observed polymorphic information content (PIC) and the observed family information content (FIC). The observed FIC was more stable than the observed PIC because the observed FIC is unaffected by the variation in the frequency of heterozygous parents. However, both FIC and PIC are dependent on the gene mapping design. The effective number of alleles is recommended as a tool to standardize marker polymorphism measures so that polymorphism of different markers can be compared on an qual basis, and to obtain a new polymorphism measure (such an exclusion probability) from an existing measure (such as FIC). The usage of the effective number of alleles to standardize FIC, PIC and exclusion probabilities is illustrated using genetic markers in a published linkage map.     

Comparative Evaluation of SSR and ISSR Markers for Polymorphism in Landraces and Elite Varieties of Rice (Oryza sativa L)

The study aims at comparing SSR and ISSR markers for their ability to identify polymorphism in parents comprising three landraces and two elite varieties of rice. Both the SSR (0.51) and ISSR (0.46) primers showed almost similar values for Poly morphic Information Content (PIC). Maximum PIC values were observed with trinucleotide ISSR primers (0.67) followed by dinucleotide ISSR primers. In addition to the mapped SSR markers, ISSR markers used in the present study produced more polymorphic markers suggesting their utility in the survey of polymorphism between the parental lines belonging to the same sub-species of rice.     

Single strand conformation polymorphism of genomic and EST-SSRs marker and its utility in genetic evaluation of sugarcane

Sugarcane is an important crop producing around 75 % of sugar in world and used as first generation biofuel. In present study, the genomic and gene based microsatellite markers were analyzed by low cost Single Strand Confirmation Polymorphism technique for genetic evaluation of 22 selected sugarcane genotypes. Total 16 genomic and 12 Expression Sequence Tag derived markers were able to amplify the selected sugarcane genotypes. Total 138 alleles were amplified of which 99 alleles (72 %) found polymorphic with an average of 4.9 alleles per locus. Microsatellite marker, VCSSR7 and VCSSR 12 showed monomorphic alleles with frequency 7.1 % over the average of 3.5 obtained for polymorphic locus. The level of Polymorphic Information Content (PIC) varied from 0.09 in VCSSR 6 to 0.88 in VCSSR 11 marker respectively with a mean of 0.49. Genomic SSRs showed more polymorphism than EST-SSRs markers on selected sugarcane genotypes whereas, the genetic similarity indices calculated by Jaccard’s similarity coefficient varied from 0.55 to 0.81 indicate a high level of genetic similarity among the genotypes that was mainly attributed to intra specific diversity. Hence, the SSR-SSCP technique helped to identify the genetically diverse clones which could be used in crossing program for introgression of sugar and stress related traits in hybrid sugarcane.     

Detection of marker associations with a dominant disease gene in genetically complex and heterogeneous diseases.

Linkage disequilibrium of a marker allele with disease may characterize a chromosomal region containing the disease gene. In several diseases, only a limited number of pedigrees are linked to a particular region, because of linkage heterogeneity. Disequilibrium in this situation is more easily detected when the association is positive (an infrequent marker allele associated with disease mutation), and sampling is conditional on presence or absence of illness in individuals or gametes. Defining H as the marker frequency in illness-transmitting gametes, and Q the marker frequency in normal chromosomes, we compute the power of a given sample (of ill persons/gametes) to detect association in a disease that is genetically heterogeneous, with a dominantly transmitted form linked to a marker. The estimation of Q and the effects of linkage heterogeneity (when unrelated individuals are examined) are also analyzed. Two linked pedigrees give acceptable power to detect association when the allele is frequent enough in illness gametes (H greater than or equal to .6) and infrequent enough in normals (Q less than or equal to .01). If H greater than or equal to .2, 14 pedigrees are needed to give the same power. From the analysis of different values of Q and H, it appears that even in the presence of considerable genetic heterogeneity and complex inheritance (where some normals carry the disease mutation), association may be detected with clinically feasible sample sizes.     

Predictors of marker-informativeness for an outbred F2 design

Generalization of the polymorphism information content (PIC) index to represent marker informativeness (MI) for a three-generation F2 design requires that two additional sources of non-informativeness be added to the PIC formula: the probability of matings between like-heterozygous F1 individuals, of which one is non-informative; and that of matings between like-heterozygous F1 individuals, which are both fully informative but where line of origin of the same alleles is reciprocal. Given the dense marker-maps currently available for some species, this F2 informativeness parameter constitutes the natural criterion for marker selection in F2 designs, and two computer programs to predict MI from grandparental marker-genotypes were developed for an F2 population originating from two divergent selection lines of outbred mice (F approximately 0.2). A total of 403 markers had been genotyped for the F0 grandparents (n=31), and 14 markers had also been genotyped in the complete pedigree including 559 F2 individuals. One program was based on assumptions of random-mating (RM), while the other (PED) accounted for the pedigreed mating structure. For the 403 markers, the correlation between MI from RM and from PED was 0.95, and the average deviation between the two predictions was 0.005 MI units (MI ranged from 0 to 1). Correlations between predicted and realized MI for the 14 fully genotyped markers were 0.97 for PED and 0.94 for RM, while the corresponding average of deviations between predicted and actual values were 0.01 and 0.04, respectively. Absolute deviations from realized MI never exceeded 0.09 and 0.16 for PED and RM, respectively. Simulated optimization of the mating system to maximize average MI of 28 markers on one chromosome led to improvements in the range of 15-20% average MI (0.07-0.09 MI units). The degree of relative advantage conferred by the F2 generalization of the PIC index over the traditional index was found to be of minor significance.     

The effect of linkage disequilibrium on linkage analysis of incomplete pedigrees

Dense SNP maps can be highly informative for linkage studies. But when parental genotypes are missing, multipoint linkage scores can be inflated in regions with substantial marker-marker linkage disequilibrium (LD). Such regions were observed in the Affymetrix SNP genotypes for the Genetic Analysis Workshop 14 (GAW14) Collaborative Study on the Genetics of Alcoholism (COGA) dataset, providing an opportunity to test a novel simulation strategy for studying this problem. First, an inheritance vector (with or without linkage present) is simulated for each replicate, i.e., locations of recombinations and transmission of parental chromosomes are determined for each meiosis. Then, two sets of founder haplotypes are superimposed onto the inheritance vector: one set that is inferred from the actual data and which contains the pattern of LD; and one set created by randomly selecting parental alleles based on the known allele frequencies, with no correlation (LD) between markers. Applying this strategy to a map of 176 SNPs (66 Mb of chromosome 7) for 100 replicates of 116 sibling pairs, significant inflation of multipoint linkage scores was observed in regions of high LD when parental genotypes were set to missing, with no linkage present. Similar inflation was observed in analyses of the COGA data for these affected sib pairs with parental genotypes set to missing, but not after reducing the marker map until r2 between any pair of markers was 相似文献