%0 Journal Article %1 griffiths1998age %A Griffiths, Robert C %A Tavaré, Simon %D 1998 %I Taylor & Francis %J Stochastic Models %K age_of_allele coalescent_theory %N 1-2 %P 273--295 %R 10.1080/15326349808807471 %T The age of a mutation in a general coalescent tree %U http://www.tandfonline.com/doi/abs/10.1080/15326349808807471 %V 14 %X Kimura and Ohta showed that the expected age of a neutral muta- tion observed t o be offrequency x in a population is -2a:(1-2)-' log x. We put this classical result in a general coalescent process context that allows questions t o be asked about mutations in a sample, as well as in the population. In t h e general context the population size may vary back in time. Assuming an infinitely-many-sites model of mutation, we find the distribution of the number of mutant genes a t a particular site in a sample; the probability that an allele a t that site of a given frequency is ancestral; the distribution of the age of a mutation given its frequency in a sample, or population; and the distribution of the time t o the most recent common ancestor, given the frequency of a mutation in a sample, or in the population.

@article{griffiths1998age, abstract = {Kimura and Ohta showed that the expected age of a neutral muta- tion observed t o be offrequency x in a population is -2a:(1-2)-' log x. We put this classical result in a general coalescent process context that allows questions t o be asked about mutations in a sample, as well as in the population. In t h e general context the population size may vary back in time. Assuming an infinitely-many-sites model of mutation, we find the distribution of the number of mutant genes a t a particular site in a sample; the probability that an allele a t that site of a given frequency is ancestral; the distribution of the age of a mutation given its frequency in a sample, or population; and the distribution of the time t o the most recent common ancestor, given the frequency of a mutation in a sample, or in the population.}, added-at = {2018-01-13T17:44:36.000+0100}, author = {Griffiths, Robert C and Tavar{\'e}, Simon}, biburl = {https://www.bibsonomy.org/bibtex/27d4923dc9f97029cffa5e3b400ef777e/peter.ralph}, doi = {10.1080/15326349808807471}, interhash = {affb19815d987cd1f602757d99aa7681}, intrahash = {7d4923dc9f97029cffa5e3b400ef777e}, journal = {Stochastic Models}, keywords = {age_of_allele coalescent_theory}, number = {1-2}, pages = {273--295}, publisher = {Taylor \& Francis}, timestamp = {2018-01-13T17:44:36.000+0100}, title = {The age of a mutation in a general coalescent tree}, url = {http://www.tandfonline.com/doi/abs/10.1080/15326349808807471}, volume = 14, year = 1998 }