A coalescent model for the effect of advantageous mutations on the genealogy of a population

By R. Durrett, Jason Schweinsberg. 2004

104 citations recorded by the source corpus.

When an advantageous mutation occurs in a population, the favorable allele may spread to the entire population in a short time, an event known as a selective sweep. As a result, when we sample n individuals from a population and trace their ancestral lines backwards in time, many lineages may coalesce almost instantaneously at the time of a selective sweep. We show that as the population size goes to infinity, this process converges to a coalescent process called a coalescent with multiple collisions. A better approximation for finite populations can be obtained using a coalescent with simultaneous multiple collisions. We also show how these coalescent approximations can be used to get insight into how beneficial mutations affect the behavior of statistics that have been used to detect departures from the usual Kingman's coalescent.

Subfields: Genetics, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/372cad0c3b3ba2e14812e2826968df7e737e6ad3

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Genetics

1. Jim Pitman
2. Richard A. Neher
3. Nathanaël Berestycki
4. Jason Schweinsberg

In Public Health, Environmental and Occupational Health

1. Jim Pitman
2. Richard A. Neher
3. Nathanaël Berestycki
4. Jason Schweinsberg
5. J. Berestycki

Citations in the corpus

• Combinatorial Stochastic Processes (2006, background): “See [396] for details, and [398, 67, 126] for futher work on how coalescents with multiple and simultaneous multiple collisions arise as limits in various discrete or continuous population models.”
• Small-time behavior of beta coalescents (2006, unknown): “MSC: Primary 60J25; secondary 60J85; 60J75; 60K99 Keywords: Coalescence; Continuous-state branching process; Coalescent with multiple mergers *Supported in part by NSF Grant DMS-05-04882.”
• BETA-COALESCENTS AND CONTINUOUS STABLE RANDOM TREES (2006, background): “[54, 44, 21, 56]) have shown that Kingman’s coalescent is not very well-suited when we deal with populations where individuals may give birth to a large number of offspring, or when we consider the genealogy of a population affected by repeated beneficial mutations [20].”
• Rigorous results for a population model with selection II: genealogy of the population (2014, methodology): “For previous work in which coalescents with multiple mergers were used to describe the genealogy of populations undergoing selection, see [4, 8, 9, 12, 16, 22].”
• Genetic Draft, Selective Interference, and Population Genetics of Rapid Adaptation (2013, background): “This effect has been further investigated by Durrett and Schweinsberg (2005), who showed that the effect of recurrent selective sweeps is well approximated by a coalescent process that allows for multiple mergers: each sweep forces the almost simultaneous coalescence of a large number of lineages…”