Published December 4, 2021 | Version v1
Journal article Open

Markov genealogy processes: code

  • 1. University of Michigan

Description

Codes and data files for the figures displayed in "Markov genealogy processes", (Theoretical Population Biology 143: 77-91, 2022, doi: 10.1016/j.tpb.2021.11.003).  See also the arXiv preprint.

Abstract: We construct a family of genealogy-valued Markov processes that are induced by a continuous-time Markov population process. We derive exact expressions for the likelihood of a given genealogy conditional on the history of the underlying population process. These lead to a nonlinear filtering equation which can be used to design efficient Monte Carlo inference algorithms. We demonstrate these calculations with several examples. Existing full-information approaches for phylodynamic inference are special cases of the theory.

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Additional details

Related works

Is supplement to
Preprint: arXiv:2105.12730 (arXiv)

Funding

National Institutes of Health
Dynamical modeling of hospital transmission and antibiotic resistance evolution in a multidrug resistant nosocomial pathogen 1R01AI143852-01
National Institutes of Health
Training, Outreach, and Diversity Plans 1U54GM111274-01
U.S. National Science Foundation
Collaborative Research: Urban Vector-Borne Disease Transmission Demands Advances in Spatiotemporal Statistical Inference 1761603