Predictability of heterozygosity scores and polymorphism information content values for rat genetic markers

Construction of a genetic linkage map of the laboratory rat, Rattus norvegicus, establishes the rat as a genetic model. Allele sizes were reported for 432 simple sequence length polymorphisms (SSLPs) genotyped in 12 different substrains belonging to nine different inbred strains of rats. However, these nine strains represent only a fraction of the more than 140 inbred strains available. If allele sizes are not known, alternative indices of markers' polymorphism content can be used, such as heterozygosity (H) and polymorphism information content (PIC). Here, we have determined heterozygosity scores and PIC values for all markers of the rat genetic linkage map, and we evaluate the predictability of the heterozygosity and the PIC values. Correlation analysis between the nine inbred strains reported for the rat map and ten test strains yielded r=0.42 and r=0.44 for heterozygosity and PIC values, respectively. While the correlation of the indices between the two groups of animals is low, these indices do provide a means of predicting whether a genetic marker will be informative in strains where allele sizes are not known.     

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.     

On the information content of the genetic code

In living organisms 20 amino acids along with the terminator value(s) are encoded by 64 codons giving a degeneracy of the codons as described by the genetic code. A basic theoretical problem of genetic codes is to explain the particular distribution of degeneracies of partitions involved in the codes. In this work the degeneracy problem is considered in the framework of information theory. It is shown by direct numerical evaluation of a certain degeneracy information function associated with the genetic code that the degeneracy of the codes is observed to be related to the optimization of this function.     

On the information content of discrete phylogenetic characters

Journal of Mathematical Biology - Phylogenetic inference aims to reconstruct the evolutionary relationships of different species based on genetic (or other) data. Discrete characters are a...     

Rhh: an R extension for estimating multilocus heterozygosity and heterozygosity-heterozygosity correlation

Individual multilocus heterozygosity estimates based on a limited number of loci are expected to correlate only weakly with the inbreeding level of an individual. Before using multilocus heterozygosity estimates in studies of inbreeding, their ability to capture information on inbreeding in the given setting should be tested. A convenient method for this is to compute the heterozygosity-heterozygosity correlation, i.e. the mean correlation between multilocus heterozygosity estimates calculated from random samples of loci, which should be positive if multilocus heterozygosity carries a signature of inbreeding. Rhh is an extension package for the statistical software r that estimates this correlation and calculates three measures of individual multilocus heterozygosity: homozygosity by loci, internal relatedness and standardized heterozygosity. The extension package is available through the CRAN (http://cran.r-project.org) and has a homepage at http://www.helsinki.fi/biosci/egru/research/software.     

On the information content of characters in comparative morphology and molecular systematics

A review of the fundamental difference between single molecular-sequence positions, or numerical characters, and complex morphological characters is the subject of this study. It has been found that transformation series of single complex structures contain enough information to allow a priori determination of character order and that rooting of a dendrogram is possible without out-group comparison, while trees based on less-informative characters can usually only be rooted with out-group comparison. Furthermore, the quality of total information used is decisive in discriminating between hypotheses of relationships. Numerical methods for the inference of phylogenies have been found to be useful for high numbers of characters that have only a low information content, while the Hennigian procedure seems to be preferable for complex characters.

Zusammenfassung

Ein fundamentaler Unterschied zwischen der einzelnen Sequenzposition oder auch numerischen Merkmalen und komplexen morphologischen Merkmalen ist ihr Informationsgehalt. Merkmalsreihen komplexer Strukturen enthalten meist genügend Information, um a priori die Bestimmung der Lesrichtung zu ermöglichen. Die Feststellung des Ursprunges eines Dendrogramms ist somit ohne kladistischen Außengruppenvergleich möglich, während Bäume (Topologien), die auf wenig informativen Merkmalen beruhen, allgemein nur mit dem kladistischen Außengruppenvergleich 'gewurzelt' werden können. Die Qualität der insgesamt verwendeten Information ist entscheidend für die Wahl zwischen alternativen Verwandtschaftshypothesen. Numerische Methoden der Rekonstruktion der Phylogenese sind nützlich bei Verwendung einer gro β en Zahl informationsarmer Merkmale; das Hennigsche Verfahren ist für komplexe Merkmale vorzuziehen.     

On the information content of characters in comparative morphology and molecular systematics

A review of the fundamental difference between single molecular-sequence positions, or numerical characters, and complex morphological characters is the subject of this study. It has been found that transformation series of single complex structures contain enough information to allow a priori determination of character order and that rooting of a dendrogram is possible without out-group comparison, while trees based on less-informative characters can usually only be rooted with out-group comparison. Furthermore, the quality of total information used is decisive in discriminating between hypotheses of relationships. Numerical methods for the inference of phylogenies have been found to be useful for high numbers of characters that have only a low information content, while the Hennigian procedure seems to be preferable for complex characters.     

Reliability and the value of information

When animals lack the ability to discriminate between correct and incorrect information, they must choose to either respond to or ignore an information source. I define the reliability of information as the probability that information is correct and introduce reliability into the value of information to explore the level of risk information consumers should incur when using information. I find that when information consumers do not control the reliability of information, they should be more discriminating as the benefit of correct information declines, as the cost of misinformation increases and when acquisition costs are greater. However, when consumers pay for reliability, I find that consumers should be more discriminating as the benefit of correct information increases, the cost of misinformation increases, and when acquisition is cheaper. Application of this theory suggests that: (1) selection for individual recognition should be stronger when the cost of misinformation (deception) is high; (2) mimics can outnumber models when models are very noxious or alternative prey are abundant; and (3) memory about predators should be longer than memory about prey.     

A comparison between microsatellite and single-nucleotide polymorphism markers with respect to two measures of information content

Using the Genetic Analysis Workshop 14 (GAW14) simulated dataset, we compare microsatellite and single-nucleotide polymorphism (SNP) markers in terms of two measures of information content, the traditional entropy-based information content measure, and a new "relative information" measure. Both attempt to measure the amount of information contained in the markers about the identity-by-descent (IBD) sharing among relatives. The performance of the two information measures are compared based on their variability and ability to predict change in the LOD score (Delta LOD) as map density increases for SNP markers. Although in a linked region, LOD scores are correlated with measures of information, we observe that none of the measures predict the LOD score itself very well. In an unlinked region, the LOD score is not related to either measures of information. The information content of microsatellite markers with 7.5-cM spacing is slightly higher than that of SNP markers with 3-cM spacing. At these map densities, microsatellites are found to be uniformly more informative than SNPs irrespective of their level of heterozygosity. For SNPs, we found that as the level of heterozygosity increases, the information content increases. As reported in all other previous studies, we also found that high-density SNPs have higher information content compared to low-density microsatellites. Performance of both the two information measures considered here are similar, but the relative information measure predicts Delta LOD as marker density increases better than the traditional entropy-based information measure.     

Monophyletic classification and information content

The connection between monophyly and efficient taxonomic diagnoses is elaborated. The inefficiency of nonmonophyletic groups is shown by reconstructing data matrices from hierarchical sets of diagnoses that are derived from apomorphies and read in order from highest to lowest rank. The practice of diagnosing nonmonophyletic groups either results in omitting data, resulting in errors in reconstructed datasets, or repeating character information to make up for the implied losses. Step-by-step demonstrations with hypothetical and real data are used as guidance. Provisions are made for missing, inapplicable and polymorphic data. Slow optimization (delayed transformation) is useful for choosing a state reconstruction in order to report apomorphies completely. The diagnoses of paraphyletic groups can be expressed in different ways, including regrafting derived clades, reanalyzing data with constraints, and reading the original diagnoses in a different order––the last is the least efficient. A cladistic version of the data compression ratio is proposed to quantify the diagnostic efficiency of a cladogram.     

On the correlation between heterozygosity and fitness in natural populations

Three primary hypotheses currently prevail for correlations between heterozygosity at a set of molecular markers and fitness in natural populations. First, multilocus heterozygosity-fitness correlations might result from selection acting directly on the scored loci, such as at particular allozyme loci. Second, significant levels of linkage disequilibrium, as in recently bottlenecked-and-expanded populations, might cause associations between the markers and fitness loci in the local chromosomal vicinity. Third, in partially inbred populations, heterozygosity at the markers might reflect variation in the inbreeding coefficient and might associate with fitness as a result of effects of homozygosity at genome-wide distributed loci. Despite years of research, the relative importance of these hypotheses remains unclear. The screening of heterozygosity at polymorphic DNA markers offers an opportunity to resolve this issue, and relevant empirical studies have now emerged. We provide an account of the recent progress on the subject, and give suggestions on how to distinguish between the three hypotheses in future studies.     

Mutations and the value of information.

On the basis of the literary data the relative probabilities of the point mutations are evaluated in the proteins and in RNA's. The relative probabilities of the nonsense mutations are estimated. The probability of the nonsense mutation of the codon UGG (Trp) is especially high. The notion of the value of information is introduced as the measure of the irreplaceability of an element of a message. Using the data on replaceabilities of the amino-acidic residues the tentative values of information of the codons and of the amino-acidic residues are determined. The value, i.e. the irreplaceability of the information increases in the course of biological development. The increase of the summary value of the protein chain of cytochrome c in phylogenesis is shown. The increase of the value of information correlates with the increase of the entropy of a protein chain.