Recent common ancestors of all present-day individuals

@article{Chang1999RecentCA,
  title={Recent common ancestors of all present-day individuals},
  author={Joseph T. Chang},
  journal={Advances in Applied Probability},
  year={1999},
  volume={31},
  pages={1002 - 1026}
}
  • Joseph T. Chang
  • Published 1 December 1999
  • Biology
  • Advances in Applied Probability
Previous study of the time to a common ancestor of all present-day individuals has focused on models in which each individual has just one parent in the previous generation. For example, ‘mitochondrial Eve’ is the most recent common ancestor (MRCA) when ancestry is defined only through maternal lines. In the standard Wright-Fisher model with population size n, the expected number of generations to the MRCA is about 2n, and the standard deviation of this time is also of order n. Here we study a… 

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References

SHOWING 1-10 OF 34 REFERENCES

The Myth of Eve: Molecular Biology and Human Origins: F. J. Ayala

It has been proposed that modern humans descended from a single woman, the "mitochondrial Eve" who lived in Africa 100,000 to 200,000 years ago, and the weight of the evidence is against a population bottleneck before their emergence.

Forward and backward processes in bisexual models with fixed population sizes

  • M. Möhle
  • Mathematics
    Journal of Applied Probability
  • 1994
This paper introduces exchangeable bisexual models with fixed population sizes and non-overlapping generations. In each generation there are N pairs of individuals consisting of a female and a male.

Inferring coalescence times from DNA sequence data.

Extensions are presented that allow for the effects of uncertainty in knowledge of population size and mutation rates, for variability in population sizes, for regions of different mutation rate, and for inference concerning the coalescence time of the entire population.

Properties of a neutral allele model with intragenic recombination.

  • R. Hudson
  • Mathematics
    Theoretical population biology
  • 1983

Progress in population genetics and human evolution

A review of the evidence and current status of the hypothesis of recent African origin of human mitochondrial DNA and the effect of purifying selection on genealogies and the structured coalescent.

Genealogical inference from microsatellite data.

It is suggested that a single microsatellite usually does not provide enough information for useful inferences, but that several completely linked microsatellites can be informative about some aspects of genealogical history and evolutionary processes.

The extinction probability of descendants in bisexual models of fixed population size

In this paper exchangeable bisexual models with fixed population size and non-overlapping generations are introduced. Each generation consists of N pairs of individuals. The pairs of a generation

A genealogical approach to variable-population-size models in population genetics

  • P. Donnelly
  • Mathematics
    Journal of Applied Probability
  • 1986
A general exchangeable model is introduced to study gene survival in populations whose size changes without density dependence. Necessary and sufficient conditions for the occurrence of fixation

Looking forwards and backwards in a bisexual moran model

In this paper a bisexual Moran model is introduced. The population consists of N pairs of individuals. At times t = 1, 2, ·· ·two individuals are born, who ‘choose their parents randomly' and

On the genealogy of large populations

  • J. Kingman
  • Mathematics
    Journal of Applied Probability
  • 1982
A new Markov chain is introduced which can be used to describe the family relationships among n individuals drawn from a particular generation of a large haploid population. The properties of this