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International Journal of Current Microbiology and Applied Sciences (IJCMAS)
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National Academy of Agricultural Sciences (NAAS)
NAAS Score: *5.38 (2019)
[Effective from January 1, 2019]
For more details click here

ICV 2017: 100.00
Index Copernicus ICI Journals Master List 2017 - IJCMAS--ICV 2017: 100.00
For more details click here

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PRINT ISSN : 2319-7692
Online ISSN : 2319-7706
Issues : 12 per year
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Index Copernicus ICV 2017: 100.00
NAAS RATING 2018: 5.38

Int.J.Curr.Microbiol.App.Sci.2018.7(10): 2402-2409
DOI: https://doi.org/10.20546/ijcmas.2018.710.279


Statistical Model Derivation and Extension of Hardy – Weinberg Equilibrium
Tanveer Ahmed Khan1, G. Nanjundan1, D.M. Basvarajaih2 and M. Azharuddin3
1Department of Statistics, Bangalore University, Bangalore 560056, Karnataka, India
2Department of Statistics, Dairy Science College, KVAFSU Hebbal, Bangalore,
Karnataka, India
3Department of Genetics, ICAR-NDRI, Adugodi, Bangalore-30, Karnataka, India
*Corresponding author
Abstract:

The Hardy-Weinberg equilibrium law states that when a population is in equilibrium, the genotypic frequencies will be in the proportion p2: 2pq: q2. In a large random mating hypothetical population where the frequencies of alleles A1 and A2 are respectively is p and q, each genotype passes on both alleles with equal frequency over generations in the absence of evolutionary forces (Mutation, migration, and selection). In this paper, the Hardy-Weinberg equilibrium law is derived and extended to the third generation, and the corresponding proportion of frequencies is derived with all mating patterns. The mating frequency matrix is also given. Further, the law is generalized for multiple alleles and generations using binomial expansion.


Keywords: Hardy-Weinberg law, Genotype frequency, Matings, Binomial expansion, Genetic traits
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How to cite this article:

Tanveer Ahmed Khan, G. Nanjundan, D.M. Basvarajaih and Azharuddin, M. 2018. Statistical Model Derivation and Extension of Hardy - Weinberg Equilibrium.Int.J.Curr.Microbiol.App.Sci. 7(10): 2402-2409. doi: https://doi.org/10.20546/ijcmas.2018.710.279