The ancestral selection graph under strong directional selection

Theoretical Population Biology

Volumn 87, Issue 1, 2013, Pages 25-33

  Pokalyuk, Cornelia ^a   Pfaffelhuber, Peter ^a  

^a UNIVERSITY OF FREIBURG   (Germany)

Author keywords

Coalescent; Moran model; Random tree; Reversibility

Indexed keywords

ALLELE; ANCESTRY; COALESCENCE; GRAPHICAL METHOD; MUTATION; NATURAL SELECTION; NUMERICAL MODEL; POPULATION SIZE;

ARTICLE; COALESCENT; GENETIC SELECTION; MORAN MODEL; MUTATION; RANDOM TREE; REVERSIBILITY; THEORETICAL MODEL;

COALESCENT; MORAN MODEL; RANDOM TREE; REVERSIBILITY;

MODELS, THEORETICAL; MUTATION; SELECTION, GENETIC;

EID: 84880702534     PISSN: 00405809     EISSN: 10960325     Source Type: Journal    
DOI: 10.1016/j.tpb.2012.09.005     Document Type: Article

References (27)

1. Aldous D. Deterministic and stochastic models for coalescence (aggregation and coagulation): a review of the mean-field theory for probabilists. Bernoulli 1999, 5(1):3-48.
2. Athreya K., Ney P. Branching Processes 1972, Springer.
3. Barton N. Genetic hitchhiking. Phil. Trans. R. Soc. Ser. B 2000, 355:1553-1562.
4. Depperschmidt, A., Greven, A., Pfaffelhuber, P., 2012. Tree-valued Fleming-Viot dynamics with mutation and selection. Ann. Appl. Probab. pp. 1-60 (in press).
5. Donnelly P., Kurtz T. Genealogical processes for Fleming-Viot models with selection and recombination. Ann. Appl. Probab. 1999, 9:1091-1148.
6. Etheridge A., Pfaffelhuber P., Wakolbinger A. An approximate sampling formula under genetic hitchhiking. Ann. Appl. Probab. 2006, 16:685-729.
7. Fearnhead P. The common ancestor at a non-neutral locus. J. Appl. Probab. 2002, 39:38-54.
8. Harris T. The Theory of Branching Processes 1963, Springer.
9. Hermisson J., Pennings P. Soft sweeps: molecular population genetics of adaptation from standing genetic variation. Genetics 2005, 169(4):2335-2352.
10. Hudson R. Properties of a neutral allele model with intragenic recombination. Theor. Popul. Biol. 1983, 23:183-201.
11. Kaplan N., Hudson R., Langley C. The 'hitchhiking effect' revisited. Genetics 1989, 123:887-899.
12. Kelly F. Reversibility and Stochastic Networks 1979, Wiley, Chichester.
13. Kimura M. Some problems of stochastic processes in genetics. Ann. Math. Stat. 1957, 28:882-901.
14. Kingman J.F.C. The coalescent. Stochastic Process. Appl. 1982, 13(3):235-248.
15. Krone S., Neuhauser C. Ancestral processes with selection. Theor. Popul. Biol. 1997, 51:210-237.
16. Kurtz T.G. Limit theorems for sequences of jump Markov processes approximation ordinary differential processes. J. Appl. Probab. 1971, 8:344-356.
17. Kurtz T. Approximation of Population Processes 1981, Society for Industrial and Applied Mathematics.
18. Lindvall T. Lectures on the Coupling Method 1992, Wiley. first ed.
19. Mano S. Duality, ancestral and diffusion processes in models with selection. Theor. Popul. Biol. 2009, 75:164-175.
20. Neuhauser C., Krone S. The genealogy of samples in models with selection. Genetics 1997, 154:519-534.
21. O'Connell N. Yule process approximation for the skeleton of a branching process. J. Appl. Probab. 1993, 30:725-729.
22. Pavlidis P., Hutter S., Stephan W. A population genomic approach to map recent positive selection in model species. Mol. Ecol. 2008, 17:3585-3598.
23. Pritchard J. Are rare variants responsible for susceptibility to complex diseases?. Am. J. Hum. Genet. 2001, 69:124-137.
24. Schweinsberg J., Durrett R. Random partitions approximating the coalescence of lineages during a selective sweep. Ann. Appl. Probab. 2005, 15:1591-1651.
25. Shiga T. Diffusion processes in population genetics. J. Math. Kyoto Univ. 1981, 21:133-151.
26. Shiga T., Uchiyama K. Stationary states and their stability of the stepping stone model involving mutation and selection. Probab. Theory Related Fields 1986, 73:87-116.
27. Wakeley J., Sargsyan O. The conditional ancestral selection graph with strong balancing selection. Theor. Popul. Biol. 2009, 75:355-364.