The constraints of finite size in asexual populations and the rate of the ratchet

Genetical Research

Volumn 66, Issue 3, 1995, Pages 241-253

  Gessler, Damian D G ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; GENE MUTATION; GENETIC SELECTION; GENOME; METAZOON; MUTATION RATE; NONHUMAN; POPULATION GENETICS; REPRODUCTION; STATISTICAL ANALYSIS;

EID: 0029586375     PISSN: 00166723     EISSN: 14695073     Source Type: Journal    
DOI: 10.1017/S0016672300034686     Document Type: Article

References (51)

1. Bardwell G. E., & Crow E. L., (1964). A two-parameter family of hyper-Poisson distributions. Journal of the American Statistical Association 59, 133–141.
2. Barton D. E., (1966). Review of P. J. Staff: The displaced Poisson distribution. Mathematical Reviews 32, 6583.
3. Barton N. H., (1994). The reduction in fixation probability caused by substitutions at linked loci. Genetical Research 64, 199–208.
4. Bell G., (1982). The Masterpiece of Nature. Berkeley: University of California Press.
5. Charlesworth B., (1990). Mutation-selection balance and the evolutionary advantage of sex and recombination. Genetical Research 55, 199–221.
6. Charlesworth B., (1994). The effect of background selection against deleterious mutations on weakly selected, linked variants. Genetical Research 63, 213–227.
7. Charlesworth B., Charlesworth D., & Morgan M. T., (1990). Genetic loads and estimates of mutation rates in highly inbred plant populations. Nature 347, 380–382.
8. Charlesworth B., Morgan M. T., & Charlesworth D., (1993). The effect of deleterious mutations on neutral molecular variation. Genetics. 134, 1289–1303.
9. Charlesworth D., Morgan M. T., & Charlesworth B., (1993). Mutation accumulation in finite outbreeding and inbreeding populations. Genetical Research 61, 39–56.
10. Crow E. L., & Bardwell G. E., (1965). Estimation of parameters of the hyper-Poisson distributions. In: Classical and Contagious Discrete Distributions (ed. Patil G.P.), pp. 127–140. Statistical Publishing Society. Calcutta. Oxford: Pergamon Press.
11. Crow J. F. (1993 a). How much do we know about spontaneous human mutation rates? Environmental and Molecular Mutagenesis 21, 122–129.
12. Crow J. F. (1993 b). How much do we know about spontaneous human mutation rates? Correction. Environmental and Molecular Mutagenesis 21, 389.
13. Crow J. F., (1994). Advantages of sexual reproduction. Developmental Genetics 15, 205–213.
14. Crow J. F., & Simmons M. J., (1983). The mutation load in Drosophila. In: The Genetics and Biology of Drosophila. Ashburner M. (eds.), pp. 1–35. London: Academic Press.
15. Drake J. W., (1991). A constant rate of spontaneous mutation in DNA-based microbes. Proceedings of the National Academy of Science USA 88, 7160–7164.
16. Ewens W. J., (1979). Mathematical Population Genetics p. 239. New York: Springer-Verlag.
17. Felsenstein J., (1974). The evolutionary advantage of recombination. Genetics 78, 737–756.
18. Gabriel W., Lynch M., & Burger R., (1993). Muller's ratchet and mutational meltdowns. Evolution 47, 1744–1757.
19. Gillespie J. H., (1991). The Causes of Molecular Evolution, pp. 262–266. New York: Oxford University Press.
20. Greenwood M., & Yule G. U., (1920). An inquiry into the nature of frequency distributions representative of multiple happenings with particular reference to the occurrence of multiple attacks of disease or of repeated accidents. Journal of the Royal Society, Series A. 83, 255–279.
21. Haigh J., (1978). The accumulation of deleterious genes in a population—Muller's ratchet. Theoretical Population Biology 14, 251–267.
22. Haight F. A., (1967). Handbook of the Poisson Distribution. New York: John Wiley & Sons.
23. Haldane J. B. S., (1937). The effect of variation on fitness. American Naturalist 71, 337–349.
24. Higgs P. G., (1994). Error thresholds and stationary mutant distributions in multi-locus diploid genetics models. Genetical Research 63, 63–78.
25. Hill W. G., & Robertson A., (1966). The effect of linkage on limits to artificial selection. Genetical Research 8, 269–294.
26. Johnson N. L., Kotz S., & Kemp A. W., (1993). Univariate Discrete Distributions. 2nd ed. New York: John Wiley & Sons.
27. Keightley P. D., (1994). The distribution of mutation effects on viability in Drosophila melanogaster. Genetics 138, 1315–1322.
28. Kemp A. W., & Kemp C. D., (1966). An alternative derivation of the Hermite distribution. Biometrika 53, 627–628.
29. Kemp C. D., & Kemp A. W., (1965). Some properties of the ‘Hermite’ distribution. Biometrika 52, 381–394.
30. Kimura M., (1968). Genetic variability maintained in a finite population due to mutational production of neutral and nearly neutral isoalleles. Genetical Research 11, 247–269.
31. Kimura M., (1969). The number of heterozygous nucleotide sites maintained in a finite population due to the steady flux of mutations. Genetics 61, 893–903.
32. Kimura M., (1983). The Neutral Theory of Molecular Evolution. Cambridge: Cambridge University Press.
33. Kimura M., & Maruyama T., (1966). The mutational load with epistatic gene interactions in fitness. Genetics 54, 1337–1351.
34. Kimura M., Maruyama T., & Crow J. F., (1963). The mutation load in small populations. Genetics 48, 1303–1312.
35. Koeberl D. D., Bottema C. D. K., Ketterling R. P., Bridge P. J., Lillicrap D. P., & Sommer S. S., (1990). Mutations causing Hemophila B: Direct estimate of the underlying rates of spontaneous germ-line transitions, transversions, and deletions in a human gene. American Journal of Human Genetics 47, 202–217.
36. Kondrashov A. S., (1982). Selection against harmful mutations in large sexual and asexual populations. Genetical Research 40, 325–332.
37. Kondrashov A. S., & Crow J. F., (1993). A molecular approach to estimating the human deleterious mutation rate. Human Mutation 2, 229–234.
38. Li W. -H. (1978). Maintenance of genetic variability under the joint effect of mutation, selection, and random drift. Genetics 90, 349–82.
39. Lynch M., & Gabriel W., (1990). Mutation load and the survival of small populations. Evolution 44, 1725–1737.
40. Smith J. Maynard, (1978). The Evolution of Sex, pp. 33–36. Cambridge: Cambridge University Press.
41. McKendrick A. G., (1926). Applications of mathematics to medical problems. Proceedings of the Edinburgh Mathematical Society 44, 98–130.
42. Muller H., (1950). Our load of mutations. American Journal of Human Genetics 1, 111–176.
43. Muller H., (1964). The relation of recombination to mutational advance. Mutational Research 1, 2–9.
44. Ohta T., (1977). Extension to the neutral mutation random drift hypothesis. In: Molecular Evolution and Polymorphism (ed. Kimura M.), pp. 148–167. National Institutes of Genetics.
45. Pamilo P., Nei M., & Li W.-H., (1987). Accumulation of mutations in sexual and asexual populations. Genetical Research 49, 135–146.
46. Simmons M. J., & Crow J. F., (1977). Mutations affecting fitness in Drosophila.populations. Annual Review of Genetics 11, 49–78.
47. Sommer S. S., (1992). Assessing the underlying pattern of human germline mutations: lessons from the factor IX gene. The FASEB Journal 6, 2767–2774.
48. Staff P. J., (1964). The displaced Poisson distribution. Australian Journal of Statistics 6, 12–20.
49. Staff P. J., (1967). The displaced Poisson distribution—Region B. Journal of the American Statistical Association 62, 643–654.
50. Stephan W., Chao L., & Smale J. G., (1993). The advance of Muller's ratchet in a haploid asexual population: approximate solutions based on diffusion theory. Genetical Research 61, 225–231.
51. Teicher H., (1960). On the mixture of distributions. Annals of Mathematical Statistics 31, 55–73.