A novel solution for the time-dependent probability of gene fixation or loss under natural selection

Genetics

Volumn 168, Issue 2, 2004, Pages 1081-1084

  Wang, Ying ^a   Rannala, Bruce ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ALLELE; ARTICLE; CALCULATION; GENE FREQUENCY; GENE LOSS; NATURAL SELECTION; PRIORITY JOURNAL; SIMULATION;

COMPUTER SIMULATION; EVOLUTION; GENE FREQUENCY; GENES; HUMANS; MUTATION; PROBABILITY; SELECTION (GENETICS); TIME FACTORS;

EID: 8544221180     PISSN: 00166731     EISSN: None     Source Type: Journal    
DOI: 10.1534/genetics.104.027797     Document Type: Article

References (19)

1. BHARUCHA-REID, A. T., 1960 Elements of the Theory of Markov Processes and Their Applications, McGraw-Hill, New York.
2. DEAN, M., M. CARRINGTON and S. J. O'BRIEN, 2002 Balanced polymorphism selected by genetic versus infectious human disease. Annu. Rev. Genomics Hum. Genet. 3: 263-292.
3. EWENS, W. J., 1979 Mathematical Population Genetics. Springer-Verlag, Berlin.
4. FELLER, W., 1952 The parabolic differential equations and the associated semi-groups of transformations. Ann. Math. 55: 468-519.
5. KIMURA, M., 1954 Process leading to quasi-fixation of genes in natural populations due to random fluctuation of selection intensities. Genetics 39: 280-295.
6. KIMURA, M., 1955a Solution of a process of random genetic drift with a continuous model. Proc. Natl. Acad. Sci. USA 41: 144-150.
7. KIMURA, M., 1955b Stochastic processes and distribution of gene frequencies under natural selection. Cold Spring Harbor Symp. Quant. Biol. 20: 33-53.
8. KIMURA, M., 1957 Some problems of stochastic processes in genetics. Ann. Math. Stat. 28: 882-901.
9. KIMURA, M., 1964 Diffusion models in population genetics. J. Appl. Probab. 1: 177-232.
10. KIMURA, M., 1970 The length of time required for a selectively neutral mutant to reach fixation through random frequency drift in a finite population. Genet. Res. 15: 131-133.
11. KIMURA, M., 1978 Change of gene frequencies by natural selection under population number regulation. Proc. Natl. Acad. Sci. USA 75: 1934-1937.
12. KIMURA, M., 1980 Average time until fixation of a mutant allele in a finite population under continued mutation pressure: studies by analytical, numerical, and pseudo-sampling methods. Proc. Natl. Acad. Sci. USA 77: 522-526.
13. KIMURA, M., and N. TAKAHATA, 1983 Selective constraint in protein polymorphism: study of the effectively neutral mutation model by using an improved pseudosampling method. Proc. Natl. Acad. Sci. USA 80: 1048-1052.
14. LI, L. W., M. S. LEONG, T. S. YEO, P. S. KOOI and K. Y. TAN, 1998 Computations of spheroidal harmonics with complex arguments: a review with an algorithm. Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 58: 6792-6806.
15. SLATKIN, M., and B. RANNALA, 2000 Estimating allele age. Annu. Rev. Genomics Hum. Genet. 1: 225-249.
16. STRATTON, J. A., P. M. MORSE, L. J. CHU and R. A. HUTNER, 1941 Elliptic Cylinder and Spheroidal Wave Functions. John Wiley, New York.
17. STRATTON, J. A., P. M. MORSE, L. J. CHU, J. LITTLE and F. J. CORBATO, 1956 Spheroidal Wave Functions. The Technology Press of MIT and John Wiley, New York.
18. WRIGHT, S., 1931 Evolution in Mendelian populations. Genetics 16: 97-159.
19. WRIGHT, S., and W. E. KERR, 1954 Experimental studies of the distribution of gene frequencies in very small populations of Drosophila Melanogaster. II. Bar. Evolution 8: 225-240.