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Statistical Genetics and Simulation Models in Genetic Resource Conservation and Regeneration

International Maize and Wheat Improvement center (CIMMYT), Apdo. Postal 6-641, 06600 Mexico, D.F., Mexico

View larger version (52K): [in a new window]   Fig. 1. Probability that 10 rare alleles will be retained after 10 regeneration cycles using four mating systems: chain cross (a), paired cross without reciprocal (b), random pollen pollination (c), and self-pollination (d). The initial population consists of 100 individuals, in which two alleles have frequency 0.01, two have frequency 0.02, two have frequency 0.03, two have frequency 0.04, and two have frequency 0.05. The strategies are denoted by the sample size (50 or 100 plants) and the number of seeds taken from each plant (1, 2, 5, or 10).

View larger version (52K): [in a new window]   Fig. 2. Number of alleles lost after 10 regeneration cycles. Ten rare alleles were included in the initial population consisting of 100 individuals, in which two alleles have frequency 0.01, two have frequency 0.02, two have frequency 0.03, two have frequency 0.04, and two have frequency 0.05. The four mating systems are random pollination, chain cross, paired cross (with reciprocal cross), and self-pollination. The two sample sizes are 50 and 100, and the three numbers of seeds taken from each plant are 1, 2, and 5, which are represented by 50_1 (1a), 50_2 (1b), 50_5 (1c), 100_1 (2a), 100_2 (2b), 100_5 (2c).

View larger version (22K): [in a new window]   Fig. 3. Probability of retaining all 10 rare alleles, two each with frequencies 0.01, 0.02, 0.03, 0.04 and 0.05 (a), and the number of alleles lost (b). The initial population has 100 individuals. For paired cross, there is no reciprocal cross. Each strategy is denoted by the sample size (100 or 200), mating method (chain cross, self-pollination, and paired cross without reciprocal cross), and the number of seeds to be harvested from each cross (1, 2, 3, or 30).