Evolution of the most recent common ancestor of a population with no selection

Journal of Statistical Mechanics: Theory and Experiment

Volumn , Issue 5, 2006, Pages

  Simon, Damien ^a   Derrida, Bernard ^a  

^a ECOLE NORMALE SUPÉRIEURE   (France)

Author keywords

Models for evolution (theory); Mutational and evolutionary processes (theory); Phylogeny (theory)

Indexed keywords

EID: 42749102896     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2006/05/P05002     Document Type: Article

References (28)

1. Serva M 2005 On the genealogy of populations: trees, branches and offspring J. Stat. Mech. P07011
2. Wright S 1931 Evolution in mendelian populations Genetics 16 97
3. Fisher R A 1930 The Genetical Theory of Natural Selection (Oxford: Clarendon)
4. Hein J, Schierup M H and Wiuf C 2005 Gene Genealogies, Variation and Evolution: a Primer in Coalescent Theory (Oxford: Oxford University Press)
5. Durrett R 2002 Probability models for DNA sequences evolution Probability and its Applications (Berlin: Springer)
6. Tavaré S, Balding D J, Griffiths R C and Donnelly P 1997 Inferring coalescence times from DNA sequence data Genetics 145 505
7. Slatkin M and Rannala B 2000 Estimating allele age Ann. Rev. Genomics Hum. Genet. 01 225
8. Fu Y-X and Li W-H 1997 Estimating the age of the common ancestor of a sample of DNA Mol. Biol. Evol. 14 195
9. Kaplan N L, Darden T and Hudson R R 1988 The coalescent process in models with selection Genetics 120 819
10. Wilkinson-Herbots H M 1998 Genealogy and subpopulation differentiation under various models of population structure J. Math. Biol. 37 535
11. Wakeley J and Aliacar N 2001 Gene genealogies in a metapopulation Genetics 159 893
12. Derrida B, Manrubia S C and Zanette D H 2000 On the genealogy of a population of biparental individuals J. Theor. Biol. 203 303
13. Chang J T 1999 Recent common ancestors of all present-day individuals Adv. Appl. Probab. 31 1002
14. Tajima F 1983 Evolutionary relationship of DNA sequences in finite populations Genetics 105 437
15. Derrida B and Peliti L 1991 Evolution in a flat fitness landscape Bull. Math. Biol. 53 355
16. Derrida B and Bessis D 1988 Statistical properties of valleys in the annealed random map model J. Phys. A: Math. Gen. 21 L509
17. Sella G and Hirsh A E 2005 The application of statistical physics to evolutionary biology Proc. Nat. Acad. Sci. 120 9541
18. Kingman J F C 1982 The coalescent Stoch. Process. 13 235
19. Kingman J F C 1982 On the genealogy of large populations J. Appl. Probab. A 19 27
20. Kimura M 1955 Solution of a process of random genetic drift with a continuous model Proc. Nat. Acad. Sci. 41 144
21. Kimura M 1955 Stochastic processes and the distribution of gene frequencies under natural selection Cold Spring Harbor Symp. Quant. Biol. 20 33
22. Ewens W 1972 The sampling theory of selectively neutral alleles Theor. Popul. Biol. 3 87
23. Drummond A J, Nichols G K, Rodrigo A J and Solomon W Estimating mutation parameters, population history, and genealogies simultaneously using temporally spaced sequence data Genetics 161 1307
24. Durrett R and Schweinsberg J 2005 A coalescent model for the effect of advantageous mutations on the genealogy of a population Stoch. Process. Appl. 115 1628
25. Schweinsberg J 2000 Coalescents with simultaneous multiple collisions Electron. J. Probab. 5 1
26. Pitman J 1999 Coalescents with multiple collisions Ann. Probab. 27 1870
27. Wiuf C and Hein J 1997 On the number of ancestors to a dna sequence Genetics 147 1459
28. Hudson R R 1983 Properties of a neutral allele model with intragenic recombination Theor. Popul. Biol. 23 183