The Moran model with selection: fixation probabilities, ancestral lines, and an alternative particle representation.

@article{Kluth2013TheMM,
  title={The Moran model with selection: fixation probabilities, ancestral lines, and an alternative particle representation.},
  author={Sandra Kluth and Ellen Baake},
  journal={Theoretical population biology},
  year={2013},
  volume={90},
  pages={
          104-12
        }
}

Figures from this paper

The Moran model with selection (and mutation) : fixation probabilities, ancestral lines, and an alternative particle representation
This thesis is devoted to a classical model of population genetics, namely, the Moran model in continuous time with two allelic types, (fertility) selection, and mutation. We concentrate on the
The Evolving Moran Genealogy.
Persistence in the Moran model with random switching
The paper is devoted to the study of the asymptotic behaviour of Moran process in random environment, say random selection. In finite population, the Moran process may be degenerate in finite time,
Quantifying GC-Biased Gene Conversion in Great Ape Genomes Using Polymorphism-Aware Models
TLDR
Theoretical results constitute the basis of a new Bayesian framework to estimate mutation rates and selection coefficients from population data, and show that great apes have patterns of allelic selection that vary in intensity, while stressing the need for gBGC-aware models in population genetics and phylogenetics.
Inference of population history and patterns from molecular data
TLDR
A new approximation to the Wright-Fisher model is introduced, which is shown to accurately infer split times between populations, and how the coalescent process is the natural framework for detecting traces of common ancestry.
Quantifying GC-biased gene conversion in great ape genomes using polymorphism-aware models
TLDR
It is shown that great apes have patterns of allelic selection that vary in intensity, a feature that was correlated with the great apes’ distinct demographies, and constitutes the basis of a new Bayesian framework to estimate mutation rates and selection coefficients from population data.
Developments in coalescent theory from single loci to chromosomes.
  • J. Wakeley
  • Biology
    Theoretical population biology
  • 2020

References

SHOWING 1-10 OF 21 REFERENCES
The Common Ancestor Process Revisited
TLDR
This work considers the Moran model in continuous time with two types, mutation, and selection, and characterises the ancestral line and its stationary type distribution via the fixation probability of the offspring of all individuals of favourable type.
Ancestral processes with selection: Branching and Moran models
TLDR
Analytical results of Fearnhead (2002) are used to determine the explicit properties, and parameter dependence, of the ancestral distribution of types, and its relationship with the stationary distribution inforward time.
The genealogy of samples in models with selection.
TLDR
It is found that when the allele frequencies in the population are already in equilibrium, then the genealogy does not differ much from the neutral case, and this is supported by rigorous results.
Duality, ancestral and diffusion processes in models with selection.
  • S. Mano
  • Biology
    Theoretical population biology
  • 2009
Genealogical processes for Fleming-Viot models with selection and recombination
Infinite population genetic models with general type space incorporating mutation, selection and recombination are considered. The Fleming– Viot measure-valued diffusion is represented in terms of a
The ancestral selection graph under strong directional selection.
Some Mathematical Models from Population Genetics
TLDR
This work provides a rapid introduction to a range of mathematical models that have their origins in theoretical population genetics and falls into two classes: forwards in time models for the evolution of frequencies of different genetic types in a population; and backwards in time model that trace out the genealogical relationships between individuals in a sample from the population.
The Common Ancestor Process for a Wright-Fisher Diffusion
TLDR
This work describes the process of substitutions to the common ancestor of each population using the structured coalescent process introduced by Kaplan et al. (1988), and shows that the theory can be formally extended to diffusion models with more than two genetic backgrounds, but that it leads to systems of singular partial differential equations which it is unable to solve.
Particle Representations for Measure-Valued Population Models
Models of populations in which a type or location, represented by a point in a metric space E, is associated with each individual in the population are considered. A population process is neutral if
Ancestral Processes with Selection
TLDR
The main goal is to analyze the ancestral selection graph and to compare it to Kingman's coalescent process; it is found that the distribution of the time to the most recent common ancestor does not depend on the selection coefficient and hence is the same as in the neutral case.
...
...