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Simulation of 'hitch-hiking' genealogies
1Department of Mathematics and Statistics, Monash University, Clayton, Victoria, Australia. paul.slade@maths.monash.edu.au
Journal of Mathematical Biology
|March 29, 2001
Summary
This study introduces a new ancestral influence graph to model gene genealogies, incorporating selection and recombination. Simulations reveal that the hitch-hiking effect subtly impacts gene genealogy depth, influenced by mutation-selection-recombination balance.
Area of Science:
- Population genetics
- Evolutionary biology
- Computational biology
Background:
- Gene genealogies are fundamental to understanding evolutionary processes.
- Existing models like the coalescent and ancestral selection graphs have limitations in incorporating both selection and recombination simultaneously.
- The hitch-hiking effect describes how selection at one locus can influence genetic variation at linked loci.
Purpose of the Study:
- To develop a generalized ancestral influence graph that integrates selection and recombination into gene genealogies.
- To qualitatively and quantitatively investigate the hitch-hiking effect on genealogies.
- To computationally estimate the time to the most recent common ancestor (TMRCA) under various evolutionary scenarios.
Main Methods:
- Derivation of an ancestral influence graph, combining elements of ancestral graphs and ancestral selection graphs.
- Diagrammatic representation of genealogical processes in two-locus, two-allele haploid models.
- Extension of simulation techniques to estimate TMRCA in haploid and diploid models with selection and recombination.
Main Results:
- The developed ancestral influence graph successfully incorporates selection and recombination.
- Simulations demonstrate that the hitch-hiking effect is subtle and alters conditional expected genealogy depth.
- The impact of hitch-hiking depends on the balance between mutation, selection, and recombination rates.
Conclusions:
- The ancestral influence graph provides a powerful framework for studying gene genealogies under complex evolutionary pressures.
- The hitch-hiking effect's influence on TMRCA is nuanced and context-dependent.
- This work advances computational methods for inferring evolutionary history in the presence of selection and recombination.