The coalescent in two partially isolated diffusion populations

Genetical Research

Volumn 52, Issue 3, 1988, Pages 213-222

  Takahata, Naoyuki ^a  

^a NATIONAL INSTITUTE OF GENETICS   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

GENEALOGY; NONBIOLOGICAL MODEL; POPULATION GENETICS; POPULATION MODEL; POPULATION STRUCTURE; THEORETICAL STUDY;

GENETICS, POPULATION; HUMAN; MATHEMATICS; MODELS, GENETIC; RECOMBINATION, GENETIC; SUPPORT, NON-U.S. GOV'T;

EID: 0024262745     PISSN: 00166723     EISSN: 14695073     Source Type: Journal    
DOI: 10.1017/S0016672300027683     Document Type: Article

References (19)

1. Feller W. (1970). An Introduction to Probability Theory and Its Applications. New York: John Wiley.
2. Gladstien K. (1978). The characteristic values and vectors for a class of stochastic matrices arising in genetics. SIAM Journal of Applied Mathematics 34, 630–642.
3. Griffiths R. C. (1980). Lines of descent in the diffusion approximation of neutral Wright–Fisher models. Theoretical Population Biology 17, 37–50.
4. Hudson R. R. (1983). Testing the constant-rate neutral allele model with protein sequence data. Evolution 37 (1), 203–217.
5. Karlin S. & Taylor L. L. (1981). A Second Course in Stochastic Processes. New York: Academic Press.
6. Karlin S. & Tavaré S. (1982). Linear birth and death processes with Killing. Journal of Applied Probability 19, 477–87.
7. Kimura M. (1971). Theoretical foundations of population genetics at the molecular level. Theoretical Population Biology 2, 174–208.
8. Kimura M. & Crow J. F. (1964). The number of alleles that can be maintained in a finite population. Genetics 49, 725–738.
9. Kingman J. F. C. (1982 a). The coaiescent. Stochastic Processes and their Applications 13, 235–248.
10. Kingman J. F. C. (1982 b). On the genealogy in large populations. Journal of Applied Probability 19 A, 27–43.
11. Nagylaki T. (1983). The robustness of neutral models of geographic variation. Theoretical Population Biology 14, 268–294.
12. Slatkin M. (1987). The average number of sites separating DNA sequences drawn from a subdivided population. Theoretical Population Biology 32, 42–49.
13. Tajima F. (1983). Evolutionary relationship of DNA sequences in finite populations. Genetics 105, 437–460.
14. Takahata N. (1983). Gene identity and genetic differentiation of populations in the finite island model. Genetics 104, 497–512.
15. Takahata N. & Nei M. (1985). Gene genealogy and variance of interpopulational nucleotide differences. Genetics 110, 325–344.
16. Tavaré S. (1984). Line-of-descent and genealogical process, and their applications in population genetics models. Theoretical Population Biology 26, 119–164.
17. Watterson G. A. (1975). On the number of segregating sites in genetical models without recombination. Theoretical Population Biology 7, 256–276.
18. Watterson G. A. (1984). Lines of descent and the coaiescent. Theoretical Population Biology 26, 77–92.
19. Wright S. (1931). Evolution of Mendelian populations. Genetics 16, 97–159.