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Methods of sampling to form genetic populations used in the Gardner-Eberhart model for the diallel cross and related populations vary considerably. Sometimes the same plants are used to form the selfed progeny, the random-mated progeny, and the crosses in order to save nursery space. The purpose of this research was to use computer simulation to generate genetic populations according to some different sampling methods currently in use and to examine the effect of sampling techniques on means and genetic variation.
Methods of sampling did not affect the means but they did affect the variances. Sampling with replacement (using a plant more than once) increases the within population genetic variation of variety crosses, crosses selfed, and crosses random-mated. The amount of bias is inversely related to sample size. Adjustment for the bias was possible by utilizing expected number of parental individuals.
Conclusions reached are: 1) plants should be used only once as a male or female, 2) each kind of population should be developed from an independent set of parents, and 3) a balanced composite of seed with equal numbers from each female parent should be used rather than bulk seed. The sample size of parents affects the precision of means estimated for progenies. Twenty to 30 plants are believed to be reasonably adequate to represent a segregating population.
Key Words: Computer simulation Zea mays L.
2 Associate Professor of Agronomy, North Dakota State University; and Meyer Katzman Professor of Agronomy, University of Nebraska, respectively.
Received for publication February 22, 1973.
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