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Multipoint Quantitative-Trait Linkage Analysis in General Pedigrees

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TLDR
It is shown how variance-component linkage methods can be used in pedigrees of arbitrary size and complexity, and a general framework for multipoint identity-by-descent (IBD) probability calculations is developed.
Abstract
Multipoint linkage analysis of quantitative-trait loci (QTLs) has previously been restricted to sibships and small pedigrees. In this article, we show how variance-component linkage methods can be used in pedigrees of arbitrary size and complexity, and we develop a general framework for multipoint identity-by-descent (IBD) probability calculations. We extend the sib-pair multipoint mapping approach of Fulker et al. to general relative pairs. This multipoint IBD method uses the proportion of alleles shared identical by descent at genotyped loci to estimate IBD sharing at arbitrary points along a chromosome for each relative pair. We have derived correlations in IBD sharing as a function of chromosomal distance for relative pairs in general pedigrees and provide a simple framework whereby these correlations can be easily obtained for any relative pair related by a single line of descent or by multiple independent lines of descent. Once calculated, the multipoint relative-pair IBDs can be utilized in variance-component linkage analysis, which considers the likelihood of the entire pedigree jointly. Examples are given that use simulated data, demonstrating both the accuracy of QTL localization and the increase in power provided by multipoint analysis with 5-, 10-, and 20-cM marker maps. The general pedigree variance component and IBD estimation methods have been implemented in the SOLAR (Sequential Oligogenic Linkage Analysis Routines) computer package.

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Citations
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References
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Journal ArticleDOI

Genetic dissection of complex traits: guidelines for interpreting and reporting linkage results

TL;DR: Specific standards designed to maintain rigor while also promoting communication are proposed for the interpretation of linkage results in genetic studies under way for many complex traits.
Journal Article

Parametric and nonparametric linkage analysis: a unified multipoint approach.

TL;DR: It is shown that NPL is robust to uncertainty about mode of inheritance, is much more powerful than commonly used nonparametric methods, and loses little power relative to parametric linkage analysis, and appears to be the method of choice for pedigree studies of complex traits.
Journal ArticleDOI

Asymptotic Properties of Maximum Likelihood Estimators and Likelihood Ratio Tests under Nonstandard Conditions

TL;DR: In this article, the authors derived the asymptotic distribution of maximum likelihood estimators and likelihood ratio statistics, which is the same as the distribution of the projection of the Gaussian random variable.
Journal ArticleDOI

A General Model for the Genetic Analysis of Pedigree Data

TL;DR: Assuming random mating and random sampling of pedigrees, the likelihood of a set of pedigree data is developed in terms of the population distribution of the different genotypes.
Journal ArticleDOI

Construction of multilocus genetic linkage maps in humans.

TL;DR: Several alternative algorithms for constructing human linkage maps given a specified gene order are described, one of which allows maximum-likelihood multilocus linkage maps for dozens of DNA markers in such three-generation pedigrees to be constructed in minutes.
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