Table of Contents
ISRN Biomathematics
Volume 2012, Article ID 384275, 8 pages
http://dx.doi.org/10.5402/2012/384275
Research Article

The Ancestry of Genetic Segments

Department of Mathematics, University of Northern Iowa, Cedar Falls, IA 50614-0506, USA

Received 21 November 2011; Accepted 4 January 2012

Academic Editor: O. François

Copyright © 2012 R. B. Campbell. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. M. Kimura and T. Ohta, β€œThe average number of generations until fixation of a mutant gene in a finite population,” Genetics, vol. 61, pp. 763–771, 1969. View at Google Scholar
  2. J. F. C. Kingman, β€œThe coalescent,” Stochastic Processes and Their Applications, vol. 13, pp. 235–248, 1982. View at Google Scholar
  3. J. F. C. Kingman, β€œOn the genealogy of large populations,” Journal of Applied Probability, vol. 19, pp. 27–43, 1982. View at Google Scholar
  4. C. Wills, β€œWhen did Eve live? An evolutionary detective story,” Evolution, vol. 49, pp. 593–607, 1995. View at Google Scholar
  5. R. L. Dorit, H. Akashi, and W. Gilbert, β€œAbsence of polymorphism at the ZFY locus on the human Y chromosome,” Science, vol. 268, no. 5214, pp. 1183–1185, 1995. View at Google Scholar Β· View at Scopus
  6. J. Hein, M. H. Schierup, and C. Wiuf, Gene Genealogies, Variation, and Evolution: A Primer in Coalescent Theory, Oxford University Press, New York, NY, USA, 2005.
  7. J. T. Chang, β€œRecent common ancestors of all present-day individuals,” Advances in Applied Probability, vol. 31, no. 4, pp. 1002–1026, 1999. View at Google Scholar Β· View at Scopus
  8. C. Wiuf and J. Hein, β€œOn the number of ancestors to a DNA sequence,” Genetics, vol. 147, no. 3, pp. 1459–1468, 1997. View at Google Scholar Β· View at Scopus
  9. R. R. Hudson and N. L. Kaplan, β€œStatistical properties of the number of recombination events in the history of a sample of DNA sequences,” Genetics, vol. 111, no. 1, pp. 147–164, 1985. View at Google Scholar Β· View at Scopus
  10. J. Wakely, Coalescent Theory: An Introduction, and Company Publishers, Greenwood Village, Colo, USA, 2005.
  11. C. Wiuf and J. Hein, β€œThe ancestry of a sample of sequences subject to recombination,” Genetics, vol. 151, no. 3, pp. 1217–1228, 1999. View at Google Scholar Β· View at Scopus
  12. R. B. Campbell, β€œA logistic branching process for population genetics,” Journal of Theoretical Biology, vol. 225, no. 2, pp. 195–203, 2003. View at Publisher Β· View at Google Scholar Β· View at MathSciNet Β· View at Scopus
  13. C. Wiuf and D. Posada, β€œA coalescent model of recombination hotspots,” Genetics, vol. 164, no. 1, pp. 407–417, 2003. View at Google Scholar Β· View at Scopus
  14. A. Albrechtsen, I. Moltke, and R. Nielsen, β€œNatural selection and the distribution of identity-by-descent in the human genome,” Genetics, vol. 186, no. 1, pp. 295–308, 2010. View at Publisher Β· View at Google Scholar Β· View at PubMed