1969/02/01 by Tomoko Ohta, Motoo Kimura · 1 citation
Biochemistry, Genetics and Molecular Biology · Medicine · #Evolution and Genetic Dynamics #Genetic Associations and Epidemiology #Mathematical and Theoretical Epidemiology and Ecology Models
paper · pdf · doi:10.1017/s001667230000272x
openalex publication_date 1969/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/26
The behaviour of linkage disequilibrium between two segregating loci in finite populations has been studied as a continuous stochastic process for different intensity of linkage, assuming no selection. By the method of the Kolmogorov backward equation, the expected values of the square of linkage disequilibrium z 2 , and other two quantities, xy (1 − x ) (1 − y ) and z (1 − 2 x ) (1 − 2 y ), were obtained in terms of T , the time measured in N e as unit, and R , the product of recombination fraction ( c ) and effective population number ( N e ). The rate of decrease of the simultaneous heterozygosity at two loci and also the asymptotic rate of decrease of the probability for the coexistence of four gamete types within a population were determined. The eigenvalues λ 1 , λ 2 and λ 3 related to the stochastic process are tabulated for various values of R = N e c .