Exact inbreeding coefficient of maize synthetic varieties derived from mixed lines and single crosses

Arellano-Suarez, Denise; Rodríguez-Pérez, Juan Enrique; Peña-Lomelí, Aureliano; Sahagún-Castellanos, Jaime

doi:10.1590/1984-70332020v20n4a60

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“…Furthermore, for the three values of m (4 x + 1, 4 x + 2 and 4 x + 3; x = 1, 2, 3, 4, 5, 6) that are between two numbers of m that are consecutive multiples of 4 [between 4 x and (4 x + 4); x = 1, 2, 3, 4, 5, 6], the ICs are greater than those of the two that are consecutive multiples of 4. This occurs because for these three values of FSyn SC , the frequencies of the four genotypes of the GEA (Equation (1)) are not equal and, in these cases, matings between plants with the same genotype are more frequent and generate more inbreeding than when genotypic frequencies are equal [ 15 ]. When genotypic frequencies are equal, the mating frequencies between different genotypes that contribute less to inbreeding are maximized.…”

Section: Discussionmentioning

confidence: 99%

Inbreeding and Genetic Erosion from a Finite Model of a Synthetic Formed with Single Crosses

Sahagún-Castellanos

Peña-Lomelí

Arellano-Suarez

et al. 2023

Plants

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When a seed produced by a single-cross (SC) maize hybrid is sown, the resulting grain yield is usually lower than that of the hybrid due to the inbreeding generated. However, if a seed from a mixture of hybrids were sown instead, the synthetic variety thus formed () would have a lower inbreeding coefficient () and a higher grain yield. The grain yield , the finite number of representatives of each parent SC () and the inbreeding coefficient of the parent lines of the SCs () are related to the . In addition, randomness and the finite size of can cause the loss of genes and genotypes and increase the . The objectives of this study were to derive formulas for (1) expressing in terms of , , and , and (2) calculating the probability of the occurrence of gene and genotype loss. It was found that for the probability of no genotype being missing from the progeny representing a parent to be at least 0.95, it is necessary that . It was also found that a sample size of 7 is sufficient for to stabilize, more visibly as is larger, and for the probability of the occurrence of erosion to be practically zero.

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Section: Discussionmentioning

confidence: 99%