A Contribution to the Genetic Epidemiology of Structured Populations
DOI:
https://doi.org/10.6000/1929-6029.2015.04.03.5Keywords:
Genetic Equilibrium, Hardy-Weinberg Law, Mate choice indifference, Inbreeding coefficient, Bayesian estimationAbstract
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.
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
How to Cite
Issue
Section
License
Copyright (c) 2015 Alan E. Stark
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Policy for Journals/Articles with Open Access
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are permitted and encouraged to post links to their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work
Policy for Journals / Manuscript with Paid Access
Authors who publish with this journal agree to the following terms:
- Publisher retain copyright .
- Authors are permitted and encouraged to post links to their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work .