Temporal fluctuations in selection intensities: Case of small population size

Samuel Karlin, Benny Levikson

Research output: Contribution to journalArticlepeer-review

Original languageEnglish
Pages (from-to)383-412
Number of pages30
JournalTheoretical Population Biology
Issue number3
StatePublished - Dec 1974
Externally publishedYes

Bibliographical note

Funding Information:
Fluctuation of selection intensities at a locus may be caused by random changes in environment or genetic background affecting both large and small populations (see Fisher and Ford (1947), and Wright (1948)). Some analyses of the dynamic and equilibrium behavior of a large population subject to temporal fluctuations in selection values were made in the paper of Karlin and Lieberman, 1974. In this work we report new findings on the corresponding model of a small population. The significance of “genetic drift,” i.e., statistical fluctuation of genotype numbers induced by small population size, was underscored by Wright in the important works of 1931, 1948, and 1955. The effect of small population size is incorporated by superimposing binomial (or multinomial) sampling over the deterministic changes caused by selection forces and other directed pressures (e.g., mutation, migration). The investigation of these stochastic models stimulated a host of refinements and far-reaching elaborations of mathematical diffusion theory (see Feller (1950)). First Wright and later chiefly Kimura (including among others, Ewens, Robertson, Hill, Karlin, McGregor, and Ohta) extensively applied techniques and results from diffusion theory in the analysis of stochastic genetic models (e.g., see the survey articles of Kimura (1964, 1970), * Research supported in part by NIH Grant No. USPHS Contract NOOO14-67-A-0112~001a.t5 Stanford University. 383

ASJC Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics

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