Some properties of the conditioned reconstructed process with Bernoulli sampling

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Some properties of the conditioned reconstructed process with Bernoulli sampling. / Wiuf, Carsten.

In: Theoretical Population Biology, Vol. 122, 07.2018, p. 36-45.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Wiuf, C 2018, 'Some properties of the conditioned reconstructed process with Bernoulli sampling', Theoretical Population Biology, vol. 122, pp. 36-45. https://doi.org/10.1016/j.tpb.2018.02.003

APA

Wiuf, C. (2018). Some properties of the conditioned reconstructed process with Bernoulli sampling. Theoretical Population Biology, 122, 36-45. https://doi.org/10.1016/j.tpb.2018.02.003

Vancouver

Wiuf C. Some properties of the conditioned reconstructed process with Bernoulli sampling. Theoretical Population Biology. 2018 Jul;122:36-45. https://doi.org/10.1016/j.tpb.2018.02.003

Author

Wiuf, Carsten. / Some properties of the conditioned reconstructed process with Bernoulli sampling. In: Theoretical Population Biology. 2018 ; Vol. 122. pp. 36-45.

Bibtex

@article{f041ebc1cddd415992a7fb29268d9d85,
title = "Some properties of the conditioned reconstructed process with Bernoulli sampling",
abstract = "In many areas of genetics it is of relevance to consider a population of individuals that is founded by a single individual in the past. One model for such a scenario is the conditioned reconstructed process with Bernoulli sampling that describes the evolution of a population of individuals that originates from a single individual. Several aspects of this reconstructed process are studied, in particular the Markov structure of the process. It is shown that at any given time in the past, the conditioned reconstructed process behaves as the original conditioned reconstructed process after a suitable time-dependent change of the sampling probability. Additionally, it is discussed how mutations accumulate in a sample of particles. It is shown that random sampling of particles at the present time has the effect of making the mutation rate look time-dependent. Conditions are given under which this sampling effect is negligible. A possible extension of the reconstructed process that allows for multiple founding particles is discussed.",
author = "Carsten Wiuf",
note = "Copyright {\textcopyright} 2018. Published by Elsevier Inc.",
year = "2018",
month = jul,
doi = "10.1016/j.tpb.2018.02.003",
language = "English",
volume = "122",
pages = "36--45",
journal = "Theoretical Population Biology",
issn = "0040-5809",
publisher = "Academic Press",

}

RIS

TY - JOUR

T1 - Some properties of the conditioned reconstructed process with Bernoulli sampling

AU - Wiuf, Carsten

N1 - Copyright © 2018. Published by Elsevier Inc.

PY - 2018/7

Y1 - 2018/7

N2 - In many areas of genetics it is of relevance to consider a population of individuals that is founded by a single individual in the past. One model for such a scenario is the conditioned reconstructed process with Bernoulli sampling that describes the evolution of a population of individuals that originates from a single individual. Several aspects of this reconstructed process are studied, in particular the Markov structure of the process. It is shown that at any given time in the past, the conditioned reconstructed process behaves as the original conditioned reconstructed process after a suitable time-dependent change of the sampling probability. Additionally, it is discussed how mutations accumulate in a sample of particles. It is shown that random sampling of particles at the present time has the effect of making the mutation rate look time-dependent. Conditions are given under which this sampling effect is negligible. A possible extension of the reconstructed process that allows for multiple founding particles is discussed.

AB - In many areas of genetics it is of relevance to consider a population of individuals that is founded by a single individual in the past. One model for such a scenario is the conditioned reconstructed process with Bernoulli sampling that describes the evolution of a population of individuals that originates from a single individual. Several aspects of this reconstructed process are studied, in particular the Markov structure of the process. It is shown that at any given time in the past, the conditioned reconstructed process behaves as the original conditioned reconstructed process after a suitable time-dependent change of the sampling probability. Additionally, it is discussed how mutations accumulate in a sample of particles. It is shown that random sampling of particles at the present time has the effect of making the mutation rate look time-dependent. Conditions are given under which this sampling effect is negligible. A possible extension of the reconstructed process that allows for multiple founding particles is discussed.

U2 - 10.1016/j.tpb.2018.02.003

DO - 10.1016/j.tpb.2018.02.003

M3 - Journal article

C2 - 29452133

VL - 122

SP - 36

EP - 45

JO - Theoretical Population Biology

JF - Theoretical Population Biology

SN - 0040-5809

ER -

ID: 200690519