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SpectralTDF: transition densities of diffusion processes with time-varying selection parameters, mutation rates and
Matthias Steinrücken1, Ethan M Jewett2, Yun S Song3
1Department of Biostatistics and Epidemiology, University of Massachusetts, Amherst, MA 01003, USA.
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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