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In a random mating population of constant size, the effective population size (Ne) is a function of the number of parents (n) and the variance of their gamete contributions (Vk). The objective of this study was to conduct a computer simulation of mass selection of maternal and paternal parents in order to determine the effects of n, selection intensity (i), and heritability (H2) on Vk. The computer simulation consisted of four independent runs of 10 consecutive repetitions of simulated mass selection at n = 20, 40, and 80, i = 1/40 and 4/40, and h2 = 0.0 – 1.0/0.1. The mean Vk increased linearly as h2 increased from 0.0 to 1.0, resulting in a decrease in the ratio Ne/n from 0.984 to 0.577 for i = 1/40, and from 0.986 to 0.741 for i = 4/40. The effect of n on Vk was small. The results of this study indicate that equating Ne with n will lead to a substantial underestimation of the cumulative effects of random drift and inbreeding depression when mass selection is carried out for a moderately or highly heritable trait.
Key Words: Genetic drift Inbreeding Recurrent selection Population genetics Quantitative genetics Genetic variation
2 Postgraduate research geneticist, assistant professor, and graduate research assistant, Dep. of Botany and Plant Sci., Univ. of California, Riverside, CA 92521.
Received for publication September 15, 1986.
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