Skip to main content
Genetics logoLink to Genetics
. 1986 Mar;112(3):699–716. doi: 10.1093/genetics/112.3.699

Selection and Biased Gene Conversion in a Multigene Family: Consequences of Interallelic Bias and Threshold Selection

James Bruce Walsh 1
PMCID: PMC1202771  PMID: 3957008

Abstract

In a previous paper, I investigated the interactions in a gene family of additive selection and biased gene conversion in a finite population when conversion events are rare. Here I extend my "weak-conversion limit" model by allowing biased interallelic conversion (conversion between alleles at the same locus) of arbitrary frequency and various threshold selection schemes for rare interlocus conversion events. I suggest that it is not unreasonable for gene families to experience threshold fitness functions, and show that certain types of thresholds can greatly constrain the rate at which advantageous alleles are fixed as compared to other fitness schemes, such as additive selection. It is also shown that the double sampling process operating on a gene family in a finite population (sampling over the number of genes in the gene family and over the number of individuals in the population) can have interesting consequences. For selectively neutral alleles that experience interallelic bias, the probability of fixation at each single locus may be essentially neutral, but the cumulative effects on the entire gene family of small departures from neutrality can be significant, especially if the gene family is large. Thus, in some situations, gene families can respond to directional forces that are weak in comparison to drift at single loci.

Full Text

The Full Text of this article is available as a PDF (1.0 MB).

Selected References

These references are in PubMed. This may not be the complete list of references from this article.

  1. Bernstein L. B., Mount S. M., Weiner A. M. Pseudogenes for human small nuclear RNA U3 appear to arise by integration of self-primed reverse transcripts of the RNA into new chromosomal sites. Cell. 1983 Feb;32(2):461–472. doi: 10.1016/0092-8674(83)90466-x. [DOI] [PubMed] [Google Scholar]
  2. Endow S. A. On ribosomal gene compensation in Drosophila. Cell. 1980 Nov;22(1 Pt 1):149–155. doi: 10.1016/0092-8674(80)90163-4. [DOI] [PubMed] [Google Scholar]
  3. Gutz H., Leslie J. F. Gene conversion: a hitherto overlooked parameter in population genetics. Genetics. 1976 Aug;83(4):861–866. doi: 10.1093/genetics/83.4.861. [DOI] [PMC free article] [PubMed] [Google Scholar]
  4. Klein H. L., Petes T. D. Intrachromosomal gene conversion in yeast. Nature. 1981 Jan 15;289(5794):144–148. doi: 10.1038/289144a0. [DOI] [PubMed] [Google Scholar]
  5. Lande R. The maintenance of genetic variability by mutation in a polygenic character with linked loci. Genet Res. 1975 Dec;26(3):221–235. doi: 10.1017/s0016672300016037. [DOI] [PubMed] [Google Scholar]
  6. Langley C. H., Brookfield J. F., Kaplan N. Transposable elements in mendelian populations. I. A theory. Genetics. 1983 Jul;104(3):457–471. doi: 10.1093/genetics/104.3.457. [DOI] [PMC free article] [PubMed] [Google Scholar]
  7. Mangin M., Ares M., Jr, Weiner A. M. U1 small nuclear RNA genes are subject to dosage compensation in mouse cells. Science. 1985 Jul 19;229(4710):272–275. doi: 10.1126/science.2409601. [DOI] [PubMed] [Google Scholar]
  8. Moore D. D., Conkling M. A., Goodman H. M. Human growth hormone: a multigene family. Cell. 1982 Jun;29(2):285–286. doi: 10.1016/0092-8674(82)90144-1. [DOI] [PubMed] [Google Scholar]
  9. Nagylaki T. Evolution of a finite population under gene conversion. Proc Natl Acad Sci U S A. 1983 Oct;80(20):6278–6281. doi: 10.1073/pnas.80.20.6278. [DOI] [PMC free article] [PubMed] [Google Scholar]
  10. Nagylaki T. Evolution of multigene families under interchromosomal gene conversion. Proc Natl Acad Sci U S A. 1984 Jun;81(12):3796–3800. doi: 10.1073/pnas.81.12.3796. [DOI] [PMC free article] [PubMed] [Google Scholar]
  11. Nagylaki T., Petes T. D. Intrachromosomal gene conversion and the maintenance of sequence homogeneity among repeated genes. Genetics. 1982 Feb;100(2):315–337. doi: 10.1093/genetics/100.2.315. [DOI] [PMC free article] [PubMed] [Google Scholar]
  12. Ohta T. A model of duplicative transposition and gene conversion for repetitive DNA families. Genetics. 1985 Jul;110(3):513–524. doi: 10.1093/genetics/110.3.513. [DOI] [PMC free article] [PubMed] [Google Scholar]
  13. Old R. W., Woodland H. R. Histone genes: not so simple after all. Cell. 1984 Oct;38(3):624–626. doi: 10.1016/0092-8674(84)90256-3. [DOI] [PubMed] [Google Scholar]
  14. White J. H., Lusnak K., Fogel S. Mismatch-specific post-meiotic segregation frequency in yeast suggests a heteroduplex recombination intermediate. Nature. 1985 May 23;315(6017):350–352. doi: 10.1038/315350a0. [DOI] [PubMed] [Google Scholar]

Articles from Genetics are provided here courtesy of Oxford University Press

RESOURCES