Quasi-equilibrium theory for the distribution of rare alleles in a subdivided population: Justification and implications

Theoretical Population Biology

Volumn 57, Issue 3, 2000, Pages 297-306

  Burr, Tom L ^a  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MARTES PENNANTI;

EID: 0034080157     PISSN: 00405809     EISSN: None     Source Type: Journal    
DOI: 10.1006/tpbi.2000.1453     Document Type: Article

References (19)

1. Barton N., Slatkin M. A quasi-equilibrium theory of the distribution of rare alleles in a subdivided population. Heredity. 56:1986;409-415.
2. Burr T. Estimating and Modeling Gene Flow for a Spatially Distributed Species. 1992;Florida State University, Tallahassee.
3. Chung K. L. A Course in Probability Theory. 1974;Academic Press, Orlando.
4. Cockerham C. C., Weir B. S. Correlations, descent measures: Drift with migration and mutation. Proc. Nat. Acad. Sci. USA. 84:1987;8512-8514.
5. Cockerham C. C., Weir B. S. Estimation of gene-flow from F-statistics. Evolution. 47:1993;855-863.
6. Crow J. F., Kimura M. An Introduction to Population Genetics Theory. 1970;Harper & Row, New York.
7. Ewens W. J. The sampling theory of selectively neutral alleles. Theor. Popul. Biol. 3:1972;87-112.
8. Ewens W. J. Mathematical Population Genetics. 1979;Springer-Verlag, Berlin.
9. Kimura M., Crow J. F. The number of alleles that can be maintained in a finite population. Genetics. 49:1964;725-738.
10. Kleinman J. Proportions with extraneous variance: single and independent samples. J. Amer. Stat. Assoc. 68:1973;46-54.
11. Mosimann J. On the compound multinomial distribution, the multivariate β-distribution, and correlations among proportions. Biometrika. 49:1962;65-82.
12. Rannala B. The sampling theory of neutral alleles in an island population of fluctuating size. Theor. Popul. Biol. 50:1996;91-104.
13. Rannala B., Hartigan J. A. Estimating gene flow in island populations. Genet. Res. 67:1996;147-158.
14. Slatkin M. Estimating levels of gene flow in natural populations. Genetics. 99:1981;323-335.
15. Slatkin M. Rare alleles as indicators of gene flow. Evolution. 39:1985;53-65.
16. Slatkin M., Barton N. A comparison of three indirect methods for estimating average levels of gene flow. Evolution. 43:1989;1349-1368.
17. Slatkin M., Takahata N. The average frequency of private alleles in a partially isolated population. Theor. Popul. Biol. 28:1985;314-331.
18. Watterson G. A. The stationary distribution of the infinitely-many neutral alleles model. J. App. Prob. 13:1976;639-651.
19. Wright S. Evolution in Mendelian populations. Genetics. 16:1931;97-159.