{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,26]],"date-time":"2026-02-26T20:34:40Z","timestamp":1772138080050,"version":"3.50.1"},"reference-count":15,"publisher":"Oxford University Press (OUP)","issue":"5","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2016,3,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>Motivation: In the Wright\u2013Fisher 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.<\/jats:p>\n                  <jats:p>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.<\/jats:p>\n                  <jats:p>Availability and implementation: The method, called SpectralTDF, is available at https:\/\/sourceforge.net\/projects\/spectraltdf\/.<\/jats:p>\n                  <jats:p>Contact: \u00a0yss@berkeley.edu<\/jats:p>\n                  <jats:p>Supplementary information: \u00a0Supplementary data are available at Bioinformatics online.<\/jats:p>","DOI":"10.1093\/bioinformatics\/btv627","type":"journal-article","created":{"date-parts":[[2015,11,10]],"date-time":"2015-11-10T20:08:24Z","timestamp":1447186104000},"page":"795-797","source":"Crossref","is-referenced-by-count":11,"title":["SpectralTDF: transition densities of diffusion processes with time-varying selection parameters, mutation rates and effective population sizes"],"prefix":"10.1093","volume":"32","author":[{"given":"Matthias","family":"Steinr\u00fccken","sequence":"first","affiliation":[{"name":"1 Department of Biostatistics and Epidemiology, University of Massachusetts, Amherst, MA 01003, USA,"}]},{"given":"Ethan M.","family":"Jewett","sequence":"additional","affiliation":[{"name":"2 Department of Statistics,"}]},{"given":"Yun S.","family":"Song","sequence":"additional","affiliation":[{"name":"2 Department of Statistics,"},{"name":"3 Department of EECS,"},{"name":"4 Department of Integrative Biology, University of California, Berkeley, CA 94720, USA,"},{"name":"5 Department of Mathematics and"},{"name":"6 Department of Biology, University of Pennsylvania, Philadelphia, PA 19104, USA"}]}],"member":"286","published-online":{"date-parts":[[2015,11,9]]},"reference":[{"key":"2023020110445910600_btv627-B1","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1214\/aoap\/1019737667","article-title":"A transition function expansion for a diffusion model with selection","volume":"10","author":"Barbour","year":"2000","journal-title":"Ann. 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