Gene genealogy in a population of variable size

Heredity

Volumn 78, Issue 4, 1997, Pages 417-423

  Rannala, Bruce ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

birth death process; conservation genetics; founder population; gene coalescent; genetic diversity; stochastic demography

Indexed keywords

GENEALOGY; GENETIC VARIATION; POPULATION SIZE;

EID: 0030619433     PISSN: 0018067X     EISSN: None     Source Type: Journal    
DOI: 10.1038/hdy.1997.65     Document Type: Article

References (21)

1. FELLER, W. 1939. Die grundlagen der volterraschen theorie des kampfes ums dasein in wahrsheinlichkeits theoretischen behandlung. Acta Biotheoret., 5, 1-40.
2. GRIFFITHS, R. C. AND TAVARÉ, S. 1994. Sampling theory for neutral alleles in a varying environment. Phil. Trans. R. Soc: B, 344, 403-410.
3. HUDSON, R. R. 1990. Gene genealogies and the coalescent process. Oxford Surveys Evol. Biol., 7, 1-44.
4. KARLIN, S. AND MCGREGOR, J. 1967. The number of mutant forms maintained in a population. 5th Berkeley Symposium on Mathematical Statistics and Probability, pp. 415-438. University of California Press, Berkeley, CA.
5. KENDALL, D. G. 1948. On some modes of population growth leading to R. A. Fisher's logarithmic series distribution. Biometrika, 35, 6-15.
6. KENDALL, D. G. 1949. Stochastic processes and population growth. J. R. Statist. Soc. B. 11, 230-264.
7. KENDALL, D. G. 1975. Some problems in mathematical genealogy. In: Gani, J. (ed.) Perspectives in Probability and Statistics: Papers in Honour of M. S. Bartlett on the Occasion of his Sixty-Fifth Birthday, pp. 325-348. Applied Probability Trust, New York.
8. KIMURA, M. 1969. The number of heterozygous nucleotide sites maintained in a finite population due to steady flux of mutations. Genetics. 61, 893-903.
9. KINGMAN, J. C. 1982. On the genealogy of large populations. J. Appl. Prob., 19A, 27-43.
10. KUHNER, M. K., YAMATO, J. AND FELSENSTEIN, J. 1995. Estimating effective population size and mutation rate from sequence data using Metropolis-Hastings sampling. Genetics, 140, 1421-1430.
11. MORAN, P. A. P. 1958. The general theory of the distribution of gene frequencies. I. Overlapping generations. II. Non-overlapping generations. Proc. R. Soc. B, 149, 102-116.
12. NEE, S., HOLMES, E. C., RAMBAUT, A. AND HARVEY, P. H. 1995. Inferring population history from molecular phytogenies. Phil. Trans. R. Soc. B, 349, 25-31.
13. NEE, S., MAY, R. M. AND HARVEY, P. H. 1994. The reconstructed evolutionary process. Phil. Trans. R. Soc. B, 344, 305-311.
14. RANNALA, B. 1996. The sampling theory of neutral alleles in an island population of fluctuating size. Theoret. Pop. Biol., 50, 91-104.
15. ROGERS, A. R. AND HARPENDING, H. 1992. Population growth makes waves in the distribution of pairwise genetic differences. Mol. Biol. Evol., 9, 552-569.
16. SLATKIN, M. AND HUDSON, R. R. 1991. Pairwise comparison of mitochondrial DNA sequences in stable and exponentially growing populations. Genetics, 129, 555-562.
17. TAÏB, Z. 1992. Branching Processes and Neutral Evolution. Springer, New York.
18. TAVARÉ, S. 1984. Line-of-descent and genealogical processes, and their applications in population genetics models. Theor. Pop. Biol., 26, 119-164.
19. TAVARÉ, S. 1989. The genealogy of the birth, death, and immigration process. In: Feldman, M. (ed.) Mathematical Evolutionary Theory, pp. 41-56. Princeton University Press, Princeton, NJ.
20. THOMPSON, E. A. 1975. Human Evolutionary Trees. Cambridge University Press, Cambridge.
21. WOLFRAM RESEARCH 1992. Mathematica, version 2.2. Wolfram Researcy, Inc., Champaign, IL.