The Common Ancestor Process Revisited

Kluth S, Hustedt T, Baake E (2013)
Bulletin Of Mathematical Biology 75(11): 2003-2027.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
Download
Es wurden keine Dateien hochgeladen. Nur Publikationsnachweis!
DOI
Autor*in
Kluth, SandraUniBi; Hustedt, ThiemoUniBi; Baake, EllenUniBi
Einrichtung
Technische Fakultät > AG Biomathematik und Theoretische Bioinformatik
Abstract / Bemerkung
We consider the Moran model in continuous time with two types, mutation, and selection. We concentrate on the ancestral line and its stationary type distribution. Building on work by Fearnhead (J. Appl. Probab. 39 (2002), 38-54) and Taylor (Electron. J. Probab. 12 (2007), 808-847), we characterise this distribution via the fixation probability of the offspring of all individuals of favourable type (regardless of the offspring's types). We concentrate on a finite population and stay with the resulting discrete setting all the way through. This way, we extend previous results and gain new insight into the underlying particle picture.
Stichworte
Fixation probabilities; ancestor process; Ancestral process with selection; Moran model; Common; Ancestral line
Erscheinungsjahr
2013
Zeitschriftentitel
Bulletin Of Mathematical Biology
Band
75
Ausgabe
11
Seite(n)
2003-2027
ISSN
0092-8240
Page URI
https://pub.uni-bielefeld.de/record/2635471

Zitieren

Kluth S, Hustedt T, Baake E. The Common Ancestor Process Revisited. Bulletin Of Mathematical Biology. 2013;75(11):2003-2027.
Kluth, S., Hustedt, T., & Baake, E. (2013). The Common Ancestor Process Revisited. Bulletin Of Mathematical Biology, 75(11), 2003-2027. doi:10.1007/s11538-013-9871-0
Kluth, Sandra, Hustedt, Thiemo, and Baake, Ellen. 2013. “The Common Ancestor Process Revisited”. Bulletin Of Mathematical Biology 75 (11): 2003-2027.
Kluth, S., Hustedt, T., and Baake, E. (2013). The Common Ancestor Process Revisited. Bulletin Of Mathematical Biology 75, 2003-2027.
Kluth, S., Hustedt, T., & Baake, E., 2013. The Common Ancestor Process Revisited. Bulletin Of Mathematical Biology, 75(11), p 2003-2027.
S. Kluth, T. Hustedt, and E. Baake, “The Common Ancestor Process Revisited”, Bulletin Of Mathematical Biology, vol. 75, 2013, pp. 2003-2027.
Kluth, S., Hustedt, T., Baake, E.: The Common Ancestor Process Revisited. Bulletin Of Mathematical Biology. 75, 2003-2027 (2013).
Kluth, Sandra, Hustedt, Thiemo, and Baake, Ellen. “The Common Ancestor Process Revisited”. Bulletin Of Mathematical Biology 75.11 (2013): 2003-2027.

1 Zitation in Europe PMC

Daten bereitgestellt von Europe PubMed Central.

Looking down in the ancestral selection graph: A probabilistic approach to the common ancestor type distribution.
Lenz U, Kluth S, Baake E, Wakolbinger A., Theor Popul Biol 103(), 2015
PMID: 25891326

23 References

Daten bereitgestellt von Europe PubMed Central.


Baake, Banach Cent. Publ. 80(), 2008

Barton, Ann. Appl. Probab. 14(), 2004

Birkhoff, 1969

Durrett, 2002

Durrett, 2008
A coalescent dual process in a Moran model with genic selection.
Etheridge AM, Griffiths RC., Theor Popul Biol 75(4), 2009
PMID: 19341750
A coalescent dual process in a Moran model with genic selection, and the lambda coalescent limit.
Etheridge AM, Griffiths RC, Taylor JE., Theor Popul Biol 78(2), 2010
PMID: 20685218

Ewens, 2004

Fearnhead, J. Appl. Probab. 39(), 2002

Ford, 1955

Karlin, 1981

Kingman, Stoch. Process. Appl. 13(), 1982

Kingman, J. Appl. Probab. 19A(), 1982
Ancestral Processes with Selection
Krone SM, Neuhauser C., Theor Popul Biol 51(3), 1997
PMID: 9245777
Duality, ancestral and diffusion processes in models with selection.
Mano S., Theor Popul Biol 75(2-3), 2009
PMID: 19388143
The genealogy of samples in models with selection.
Neuhauser C, Krone SM., Genetics 145(2), 1997
PMID: 9071604

Norris, 1999
The ancestral selection graph under strong directional selection.
Pokalyuk C, Pfaffelhuber P., Theor Popul Biol 87(), 2012
PMID: 23064041

Stephens, Aust. N. Z. J. Stat. 45(), 2003

Taylor, Electron. J. Probab. 12(), 2007
The allele-frequency spectrum in a decoupled Moran model with mutation, drift, and directional selection, assuming small mutation rates.
Vogl C, Clemente F., Theor Popul Biol 81(3), 2012
PMID: 22269092
Conditional gene genealogies under strong purifying selection.
Wakeley J., Mol. Biol. Evol. 25(12), 2008
PMID: 18799710
The conditional ancestral selection graph with strong balancing selection.
Wakeley J, Sargsyan O., Theor Popul Biol 75(4), 2009
PMID: 19371754
Export

Markieren/ Markierung löschen
Markierte Publikationen

Open Data PUB

Web of Science

Dieser Datensatz im Web of Science®
Quellen

PMID: 24045892
PubMed | Europe PMC

Suchen in

Google Scholar