A Contribution to the Genetic Epidemiology of Structured Populations

Authors

  • Alan E. Stark School of Mathematics and Statistics FO7, University of Sydney, NSW, 2006, Australia

DOI:

https://doi.org/10.6000/1929-6029.2015.04.03.5

Keywords:

Genetic Equilibrium, Hardy-Weinberg Law, Mate choice indifference, Inbreeding coefficient, Bayesian estimation

Abstract

A mating system, previously derived, which is more general than random mating is defined by the gene frequency q and a parameter F which measures divergence from Hardy-Weinberg proportions commonly used in genetic analysis. F can be viewed as the average coefficient of inbreeding in a population, the use emphasized here. Also it can characterize the variation in gene frequency in a stratified population. Taking q as fixed, the distribution of F over values admissible under the general mating system is derived by simulation. The mating system may be seen to be based on indifference as to choice of mates. This is the first object of the paper. The second uses the derived distribution of F to make a Bayesian estimate of F from a single sample of genotypic counts. Such an estimate has a number of uses in genetic analysis.

Author Biography

Alan E. Stark, School of Mathematics and Statistics FO7, University of Sydney, NSW, 2006, Australia

School of Mathematics and Statistics FO7

References

Edwards AWF. G.H. Hardy (1908) and Hardy-Weinberg equilibrium. Genetics 2008; 179: 1143-1150. http://dx.doi.org/10.1534/genetics.104.92940 DOI: https://doi.org/10.1534/genetics.104.92940

Mayo O. A century of Hardy-Weinberg equilibrium. Twin Res Hum Genet 2008; 11: 249-246. http://dx.doi.org/10.1375/twin.11.3.249 DOI: https://doi.org/10.1375/twin.11.3.249

Russell PJ. iGenetics: A Molecular Approach. 2nd ed. San Francisco, CA: Pearson Education, Inc., publishing as Benjamin Cummings 2006.

Morton NE. Outline of Genetic Epidemiology. Basel: S. Karger 1982.

Bittles AH, Black ML. Consanguinity, human evolution, and complex diseases. PNAS 2010; 107(suppl 1): 1779-1786. http://dx.doi.org/10.1073/pnas.0906079106 DOI: https://doi.org/10.1073/pnas.0906079106

Strømme P, Suren P, Kanavin ØJ, et al. Parental consanguinity is associated with a seven-fold increased risk of progressive encephalopathy: A cohort study from Oslo, Norway. Eur J Paediatr Neurol 2010; 14: 138-145. http://dx.doi.org/10.1016/j.ejpn.2009.03.007 DOI: https://doi.org/10.1016/j.ejpn.2009.03.007

Risch NJ. Searching for genetic determinants in the new millennium. Nature 2000; 405: 847-856. http://dx.doi.org/10.1038/35015718 DOI: https://doi.org/10.1038/35015718

Taft RJ, Vanderver A, Leventer RJ, et al. Mutations in DARS cause hypomyelination with brain stem and spinal cord involvement and leg spasticity. Am J Hum Genet 2013; 92: 774-780. http://dx.doi.org/10.1016/j.ajhg.2013.04.006 DOI: https://doi.org/10.1016/j.ajhg.2013.04.006

Kaminski L, Damiani S, Damiani S. Cracking the Code. North Sydney NSW, Australia: Random House Australia Pty Ltd. 2015.

Stark AE, Seneta E. Hardy-Weinberg equilibrium as foundational. Int J Stat Med Res 2014; 3:198-202. http://dx.doi.org/10.6000/1929-6029.2014.03.02.12 DOI: https://doi.org/10.6000/1929-6029.2014.03.02.12

Stark AE, Seneta E. A reality check on Hardy-Weinberg. Twin Res Hum Genet 2013; 16: 782-789. http://dx.doi.org/10.1017/thg.2013.40 DOI: https://doi.org/10.1017/thg.2013.40

Stark AE. Estimation of divergence from Hardy-Weinberg form. Twin Res Hum Genet 2015; in press. DOI: https://doi.org/10.1017/thg.2015.41

Cavalli-Sforza LL, Bodmer WF. The Genetics of Human Populations. San Francisco: W. H. Freeman and Company; 1971.

Bayes T. An essay towards solving a problem in the doctrine of chances. Phil Trans Roy Soc 1763; liii: 370-418.

OMIM. http://www.omim.org/entry/615281?search=dars& highlight=dars

Downloads

Published

2015-08-18

How to Cite

Stark, A. E. (2015). A Contribution to the Genetic Epidemiology of Structured Populations. International Journal of Statistics in Medical Research, 4(3), 277–281. https://doi.org/10.6000/1929-6029.2015.04.03.5

Issue

Section

General Articles