Hardy-Weinberg Equilibrium as Foundational
DOI:
https://doi.org/10.6000/1929-6029.2014.03.02.12Keywords:
Hardy-Weinberg Equilibrium, Non-random Mating, Population Genetics Theory, Tay-Sachs disease, Mendel's First LawAbstract
The Hardy-Weinberg Principle explains how random mating can produce and maintain a population in equilibrium, that is: with constant genotypic proportions. The Hardy-Weinberg formula is in constant use as a basis for developing population genetics theory. Here we give a complete description of a model which can sustain equilibrium but with a general mating system, thereby giving a much broader basis on which to develop population genetics. It was S. N. Bernstein who first showed how Mendel’s first law could be justified simply on the basis of observations of populations in equilibrium. We show how the model can be applied to exploring the change in incidence of a genetic disorder.
References
Penrose LS. The Biology of Mental Defect. 4th ed. London: Sidgwick & Jackson 1972.
Hartl DL, Jones EW. Essential Genetics: A Genomics Perspective. 4th ed. Sudbury, Massachusetts: Jones and Bartlett Publishers 2006.
Edwards AWF, Hardy GH. (1908) and Hardy-Weinberg equilibrium. Genetics 2008; 179: 1143-50. 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: 249-46. http://dx.doi.org/10.1375/twin.11.3.249 DOI: https://doi.org/10.1375/twin.11.3.249
Bernstein SN. Solution of a mathematical problem connected with the theory of heredity. Ann Math Stat 1942; 12: 53-61. http://dx.doi.org/10.1214/aoms/1177731642 DOI: https://doi.org/10.1214/aoms/1177731642
Seneta E. Sergei Natanovich Bernstein. In: Heyde CC, Seneta E, editors. Statisticians of the Centuries. New York: Springer 2001; pp. 339-342. http://dx.doi.org/10.1007/978-1-4613-0179-0_73 DOI: https://doi.org/10.1007/978-1-4613-0179-0_73
Stark A, Seneta E, On SN. Bernstein’s derivation of Mendel’s law and ‘rediscovery’ of the Hardy-Weinberg distribution. Genet Mol Biol 2012; 35: 388-94. http://dx.doi.org/10.1590/S1415-47572012005000025 DOI: https://doi.org/10.1590/S1415-47572012005000025
Stark AE. On extending the Hardy-Weinberg law. Genet Mol Biol 2007; 30: 664-66. http://dx.doi.org/10.1590/S1415-47572007000400026 DOI: https://doi.org/10.1590/S1415-47572007000400026
Stark AE, Seneta E. A reality check on Hardy-Weinberg. Twin Res Hum Genet 2013; 16: 782-89. http://dx.doi.org/10.1017/thg.2013.40 DOI: https://doi.org/10.1017/thg.2013.40
O’Brien JS. Five gangliosidoses. Lancet 1969; 2: 805. http://dx.doi.org/10.1016/S0140-6736(69)90524-8 DOI: https://doi.org/10.1016/S0140-6736(69)90524-8
Slome D. The genetic basis of amaurotic family idiocy. J Genet 1933; 27: 363-72, plus Appendix. DOI: https://doi.org/10.1007/BF02981749
Lewis R. Human Genetics: the Basics. London and New York: Routledge 2011. DOI: https://doi.org/10.4324/9780203840580
Westman JA. Medical Genetics for the Modern Clinician. Philadelphia: Lippincott Williams & Wilkins 2006.
Sebro R, Hoffmann TJ, Lange C, Rogus JJ, Risch NJ. Testing for non-random mating: evidence for ancestry-related assortative mating in the Framingham Heart Study. Genet Epidem 2010; 34: 674-79. http://dx.doi.org/10.1002/gepi.20528 DOI: https://doi.org/10.1002/gepi.20528
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Copyright (c) 2014 Alan E. Stark, Eugene Seneta
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