The Wright-Fisher site frequency spectrum as a perturbation of the coalescent's

DOI10.1101/332817 10.1016/j.tpb.2018.09.005; 10.1101/332817zbMath1405.92179OpenAlexW2805929951MaRDI QIDQ1625434

Andrew Melfi, Divakar Viswanath

Publication date: 29 November 2018

Published in: Theoretical Population Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1101/332817

zbMATH Keywords

coalescentWright-Fishermultiple mergerssample frequency spectrum

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Problems related to evolution (92D15) Protein sequences, DNA sequences (92D20) Genetics and epigenetics (92D10) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Uses Software

• ARGON

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A note on distributions of times to coalescence, under time-dependent population size
• The coalescent
• Probability approximations via the Poisson clumping heuristic
• On the number of segregating sites in genetical models without recombination
• Non-parametric estimation of population size changes from the site frequency spectrum
• Single and simultaneous binary mergers in Wright-Fisher genealogies
• A classification of coalescent processes for haploid exchangeable population models
• Statistical properties of segregating sites
• Exact coalescent for the Wright-Fisher model
• The sampling theory of selectively neutral alleles
• Total variation distances and rates of convergence for ancestral coalescent processes in exchangeable population models
• Probability Models for DNA Sequence Evolution
• Markov Chains
• The age of a mutation in a general coalescent tree
• Diffusion models in population genetics
• SOLUTION OF A PROCESS OF RANDOM GENETIC DRIFT WITH A CONTINUOUS MODEL