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Literature DB >> 3611978

The sampling theory of neutral alleles and an urn model in population genetics.

Abstract

The behaviour of a Pólya-like urn which generates Ewens' sampling formula in population genetics is investigated. Connections are made with work of Watterson and Kingman and to the Poisson-Dirichlet distribution. The order in which novel types occur in the urn is shown to parallel the age distribution of the infinitely many alleles diffusion model and consequences of this property are explored. Finally the urn process is related to Kingman's coalescent with mutation to provide a rigorous basis for this parallel.

Mesh：

Year: 1987 PMID： 3611978 DOI： 10.1007/bf00276386

Source DB: PubMed Journal: J Math Biol ISSN： 0303-6812 Impact factor: 2.259

11 in total

The sampling theory of neutral alleles and an urn model in population genetics.

1. Statistical studies on protein polymorphism in natural populations. I. Distribution of single locus heterozygosity.

2. Is the most frequent allele the oldest?

3. The population structure associated with the Ewens sampling formula.

4. Models for the logarithmic species abundance distributions.

5. Testing for increased mutation rate for neutral alleles.

6. The sampling theory of selectively neutral alleles.

7. Addendum to a paper of W. Ewens.

8. Line-of-descent and genealogical processes, and their applications in population genetics models.

9. Simulating allele frequencies in a population and the genetic differentiation of populations under mutation pressure.

10. Lines of descent in the diffusion approximation of neutral Wright-Fisher models.

1. Haplotype and missing data inference in nuclear families.

2. A comparison of phasing algorithms for trios and unrelated individuals.

3. An exact sampling formula for the Wright-Fisher model and a solution to a conjecture about the finite-island model.

4. Genealogical-tree probabilities in the infinitely-many-site model.

5. Is knowing the age-order of alleles in a sample useful in testing for selective neutrality?

6. Twitter as an innovation process with damping effect.

7. Inductive determination of allele frequency spectrum probabilities in structured populations.

8. Importance sampling for the infinite sites model.

9. Allele frequency spectra in structured populations: Novel-allele probabilities under the labelled coalescent.

10. Where have all the interactions gone? Estimating the coverage of two-hybrid protein interaction maps.