Ancestral processes with selection

Theoretical Population Biology

Volumn 51, Issue 3, 1997, Pages 210-237

  Krone, Stephen M ^a   Neuhauser, Claudia ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030877679     PISSN: 00405809     EISSN: None     Source Type: Journal    
DOI: 10.1006/tpbi.1997.1299     Document Type: Article

References (39)

1. Abramowitz M., Stegun I. Handbook of Mathematical Functions. 1972;Dover, New York.
2. Bramson M., Griffeath D. On the Williams-Bjerknes tumor growth model, II. Math. Proc. Cambridge Phil. Soc. 88:1980;339-357.
3. Bramson M., Griffeath D. On the Williams-Bjerknes tumor growth model, I. Ann. Probab. 9:1981;173-185.
4. Cannings C. The latent roots of certain Markov chains arising in genetics: A new approach. I. Haploid models. Adv. Appl. Probab. 6:1974;260-290.
5. Clifford P., Sudbury A. A model for spatial conflict. Biometrika. 60:1973;581-588.
6. Donnelly P. The transient behaviour of the Moran model in population genetics. Proc. Camb. Phil. Soc. 95:1984;349-358.
7. P. Donnelly, S. Taveré, 1997, "Ancestral Processes in Population Genetics.
8. Durrett R., Neuhauser C. Particle systems and reaction- diffusion equations. Ann. Probab. 22:1994;289-333.
9. Ethier S. N., Kurtz T. G. The infinitely-many-alleles model with selection as a measure-valued diffusion. Lecture Notes in Biomathematics. 1987;Springer, New York. p. 72-86.
10. Ethier S. N., Kurtz T. G. Convergence to Fleming-Viot processes in the weak atomic topology. Stoch. Proc. App. 54:1994;1-27.
11. Fisher R. A. The Genetical Theory of Natural Selection. 1930;Clarendon Press, Oxford.
12. Golding G. B. The effect of purifying selection on genealogies. IMA Proceedings. 87:1997.
13. Griffiths R. C. Genealogical-tree probabilities in the infinitely-many-site model. J. Math. Biol. 27:1989;667-680.
14. R. C. Griffiths, 1991, The two-locus ancestral graph, Selected Proceedings of the Symposium on Applied Probability, Sheffield, 1989, I. V. BasewaR. L. Taylor, IMS Lecture Notes - Monograph Series, 18, 100, 117, Institute of Mathematical Statistics.
15. R. C. Griffiths, P. Marjoram, 1997, An ancestral recombination graph, Progress in Population Genetics and Human Evolution, P. DonnellyS. Travaré, IMA Proceedings, 87, Springer-Verlag, Berlin/New York.
16. Griffiths R. C., Tavaré S. Simulating probability distributions in the coalescent. Theor. Population Biology. 46:1994;131-159.
17. Harris T. E. Nearest neighbor Markov interaction processes on multidimensional lattices. Adv. Math. 9:1972;66-89.
18. Harris T. E. On a class of set-valued Markov processes. Ann. Probab. 4:1976;175-194.
19. Holley R., Liggett T. M. Ergodic theorems for weakly interacting systems and the voter model. Ann. Probab. 3:1975;643-663.
20. Hudson R. R., Kaplan N. L. The coaslescent process in models with selection and recombination. Genetics. 120:1988;831-840.
21. Joyce P., Tavaré S. The distribution of rare alleles. J. Math. Biol. 33:1995;602-618.
22. Kaplan N. L., Darden T., Hudson R. R. The coaslescent process in models with selection. Genetics. 120:1988;819-829.
23. Karlin S., Taylor H. M. A First Course in Stochastic Processes. 1975;Academic Press, New York.
24. M. Kimura, 1956, Stochastic Processes in Population Genetics, University of Wisconsin, Madison.
25. Kingman J. F. C. The coalescent. Stoch. Proc. Appl. 13:1982a;235-248.
26. Kingman J. F. C. On the genealogy of large populations. J. Appl. Prob. 19A:1982b;27-43.
27. Liggett T. M. Interacting Particle Systems. 1985;Springer, New York.
28. R. Lundstrom, 1990, Stochastic Models and Statistical Methods for DNA Sequence Data, Department of Mathematics, University of Utah.
29. Moran P. A. P. Random processes in genetics. Proc. Cambridge Phil. Soc. 54:1958;60-71.
30. Moran P. A. P. The Statistical Processes of Evolutionary Theory. 1962;Clarendon Press, Oxford.
31. Neuhauser C., Krone S. The genealogy of samples in models with selection. Genetics. 154:1997;519-534.
32. Sawyer S., Dykhuizen D., Hartl D. Confidence interval for the number of selectively neutral amino acid polymorphisms. Proc. Natl. Acad. Sci. USA. 84:1987;6225-6228.
33. Schwartz D. L. Application of duality to a class of Markov processes. Ann. Probab. 5:1977;522-532.
34. Tavaré S. Line-of-descent and genealogical processes, and their applications in population genetics models. Theor. Popul. Biol. 26:1984;119-164.
35. Watterson G. A. Heterosis or neutrality? Genetics. 86:1977;789-814.
36. Watterson G. A. The homozygosity test of neutrality. Genetics. 88:1978;405-417.
37. Watterson G. A. Lines of descent and the coalescent. Theor. Popul. Biol. 26:1984;77-92.
38. Wright S. Evolution in Mendelian populations. Genetics. 16:1931;97-159.
39. Wright S. Adaptation and selection. Jepson G. L., Simpson G. G., Mayr E. Genetics, Paleontology and Evolution. 1949;365-389 Princeton Univ. Press, Princeton.