Koroliouk D., Koroliuk V. S.
Equilibrium in Wright–Fisher models of population genetics

For multivariant Wright–Fisher models in population genetics, we introduce equilibrium states, expressed by fluctuations of probability ratio, in contrast to the traditionally used fluctuations, expressed by the difference between the current value of the random process and its equilibrium value. Then the drift component of the dynamic process of gene frequencies, primarily expressed as a ratio of two quadratic forms, is transformed into a cubic parabola with a certain normalization factor. © 2019, Springer Science+Business Media, LLC, part of Springer Nature.

Keywords: equilibrium state, evolutionary process, fluctuations of probability ratio, population genetics, Wright–Fisher model, Number theory, Random processes, Equilibrium state, Evolutionary process, Fisher model, Population genetics, Probability ratio, Chromosomes

PDF

Cite:
Koroliouk, Koroliuk. (2019). Equilibrium in Wright–Fisher models of population genetics. Cybernetics and Systems Analysis, 55 (2), 96-101. doi: https://doi.org/10.1007/s10559-019-00129-4 http://jnas.nbuv.gov.ua/article/UJRN-0000968699