Summary
A time-heterogeneous stochastic process is used to describe the rate of approach to homozygosity, the expected time to fixation or loss and the ultimate probability of survival of a gene or type in a haploid population whose size is a Poisson random variable.
Similar content being viewed by others
Literature
Cook, R. D., Nassar, R. F.: Dynamics of Finite Populations I. The expected time to fixation or loss and the probability of fixation of an allele in a haploid population of variable size. Biometrics 28, 373–384 (1972a).
Cook, R. D., Nassar, R. F.: Probability of ultimate survival of a newly occurred inversion in natural populations. Theoretical and Applied Genetics 42, 368–370 (1972b).
Elton, C., Nicholson, M.: The ten-year cycle in numbers of the lynx in Canada. J. Animal Ecology 11, 215 to 244 (1952).
Kimura, M., Ohta, T.: The average number of generations until extinction of an individual mutant gene in a finite population. Genetics 63, 701–709 (1969).
Kojima, K., Kelleher, T. M.: Survival of Mutant Genes. The Am. Naturalist XCVI, 329–345 (1962).
Koutsky, Z.: Periodische Verzweigungsfolgen. Transaction of the Third Prague Conference, 429–439 (1962).
Nassar, R. F., Cook, R. D.: Dynamics of Finite Populations II. A time-homogeneous stochastic process describing the ultimate probability of and the expected time of fixation or loss of an allele or type in a population of variable size. Theoretical and Applied Genetics 43, 255–260 (1973).
Pollak, E.: Some effects of fluctuating offspring distribution on the survival of a gene. Biometrika 53, 391 to 396 (1966).
Odum, E. P.: Fundamentals of Ecology. Philadelphia: Saunders 1959.
Author information
Authors and Affiliations
Additional information
Communicated by W. Seyffert
Contribution Number 166, Department of Statistics, Statistical Laboratory, Kansas Agricultural Experiment Station, Manhattan, Kansas 66506.
Rights and permissions
About this article
Cite this article
Nassar, R.F., Cook, R.D. Dynamics of finite populations. Theoret. Appl. Genetics 45, 300–303 (1975). https://doi.org/10.1007/BF00276683
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00276683