Research Catalog

Title

Probability models for DNA sequence evolution / R. Durrett.

Author

Durrett, Richard, 1951-

Publication

New York ; London : Springer, 2008.

Items in the Library & Off-site

Holdings

Details

Description

xii, 431 pages : illustrations; 24 cm.

Series Statement

Probability and its applications

Uniform Title

Probability and its applications.

Subjects

• Evolutionary genetics > Statistical methods
• Base Sequence
• Variation (Biology) > Statistical methods
• Evolution, Molecular
• Nucleotide sequence > Statistical methods
• Probability
• Probabilities
• Models, Genetic

Note

• Previous ed.: 2002.

Bibliography (note)

• Includes bibliographical references and index.

Contents

1. Basic Models -- 1.1. ATGCs of life -- 1.2. Wright-Fisher model -- 1.3. Infinite alleles model -- 1.4. Infinite sites model -- 1.5. Moran model -- 2. Estimation and Hypothesis Testing -- 2.1. Site frequency spectrum covariance -- 2.2. Estimates of [theta] -- 2.3. Hypothesis testing overview -- 2.4. Difference statistics -- 2.5. The HKA test -- 2.6. McDonald-Kreitman test -- 3. Recombination -- 3.1. Two loci -- 3.2. In loci -- 3.3. Linkage disequilibrium -- 3.4. Ancestral recombination graph -- 3.5. Counting recombinations -- 3.6. Estimating recombination rates -- 3.7. Haplotypes and hot spots -- 4. Population Complications -- 4.1. Large family sizes -- 4.2. Population growth -- 4.3. Founding effects and bottlenecks -- 4.4. Effective population size -- 4.5. Matrix migration models -- 4.6. Symmetric island model -- 4.7. Fixation indices -- 5. Stepping Stone Model -- 5.1. d = 1, Exact results -- 5.2. d = 1 and 2, Fourier methods -- 5.3. d = 2, Coalescence times -- 5.4. d = 2, Genealogies -- 5.5. d = 1, Continuous models -- 5.6. d = 2, Continuous models -- 6. Natural Selection -- 6.1. Directional selection -- 6.2. Balancing selection -- 6.3. Background selection -- 6.4. Muller's ratchet -- 6.5. Hitchhiking -- 6.6. Better approximations -- 6.7. Recurrent sweeps -- 7. Diffusion Processes -- 7.1. Infinitesimal mean and variance -- 7.2. Examples of diffusions -- 7.3. Transition probabilities -- 7.4. Flitting probabilities -- 7.5. Stationary measures -- 7.6. Occupation times -- 7.7. Green's functions -- 7.8. Examples -- 7.9. Conditioned processes -- 7.10. Boundary behavior -- 7.11. Site frequency spectrum -- 7.12. Fluctuating selection -- 8. Multidimensional Diffusions -- 8.1. K allele model -- 8.2. Recombination -- 8.2. Recombination -- 8.4. Gene duplication -- 8.5. Watterson's double recessive null model -- 8.6. Subfunctionalization -- 9. Genome Rearrangement -- 9.1. Inversions -- 9.2. When is parsimony reliable? -- 9.3. Nadeau and Taylor's analysis -- 9.4. Genomic distance -- 9.5. Midpoint problem -- 9.6. Genome duplication.

ISBN

• 9780387781686 (hbk.)
• 0387781684 (hbk.)

OCLC

• ocn213855666
• 213855666
• SCSB-5429786

Owning Institutions

Columbia University Libraries