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Number and Fitness of Selected Individuals in Marker-Assisted and Phenotypic Recurrent Selection

^a Dep. of Agronomy and Plant Genetics, Univ. of Minnesota, 411 Borlaug Hall, 1991 Upper Buford Cir., St. Paul, MN 55108
^b Institut National de la Recherche Agronomique, Station de génétique végétale, Ferme du Moulon, 91190 Gif-sur-Yvette, France

View larger version (20K): [in a new window]   Fig. 1. Equal Fitness and Better Half methods. The numbers refer to the ranks of the parents, and an X indicates the corresponding pair of parents contributing progenies to the next cycle of selection. Selfs and reciprocal crosses are excluded.

View larger version (15K): [in a new window]   Fig. 2. Optimizing the fitness in crosses among selected parents.

View larger version (10K): [in a new window]   Fig. 3. Frequencies of maximum responses (across different NSel) being higher due to varying the fitness of selected individuals. The dotted lines indicate that the maximum response is numerically higher, whereas the solid lines indicate the maximum response is significantly higher at P = 0.05. Comparisons for short-term selection (cycles 1–5) are across four genetic models (10 QTL, N = 100; 40 QTL, N = 100; 100 QTL, N = 100; and 40 QTL, N = 400) and three levels of heritability (H = 0.20, 0.50, and 0.80). Comparisons for medium-term (cycles 6–15) and long-term (cycles 16–30) selection are across three genetic models (10 QTL, N = 100 excluded) and the three levels of H.

View larger version (16K): [in a new window]   Fig. 4. Values of NSel that led to the maximum response to selection at different cycles of recurrent selection. NSel values of 2, 3, 4, 5, 10, 15, 20, 25, 30, 35, and 40 were considered. The size of the plotted circles corresponds to the number of times, across the different genetic models studied, a particular NSel value led to the maximum response. The dotted lines depict the proposed rule-of-thumb that for cycle NSel – 1, the optimum number of individuals to select and recombine in each cycle is equal to NSel.