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SpectralTDF: transition densities of diffusion processes with time-varying selection parameters, mutation rates and effective population sizes

Published Web Location

https://doi.org/10.1093/bioinformatics/btv627
Abstract

Motivation

In the Wright-Fisher diffusion, the transition density function describes the time evolution of the population-wide frequency of an allele. This function has several practical applications in population genetics and computing it for biologically realistic scenarios with selection and demography is an important problem.

Results

We develop an efficient method for finding a spectral representation of the transition density function for a general model where the effective population size, selection coefficients and mutation parameters vary over time in a piecewise constant manner.

Availability and implementation

The method, called SpectralTDF, is available at https://sourceforge.net/projects/spectraltdf/

Contact

yss@berkeley.edu

Supplementary information

Supplementary data are available at Bioinformatics online.

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