TY - EJOU
AU - Ibarra-Sánchez, Alejandro
AU - Rodríguez-Pérez, Juan Enrique
AU - Peña-Lomelí, Aureliano
AU - Villanueva-Verduzco, Clemente
AU - Sahagún-Castellanos, Jaime
TI - General and Exact Inbreeding Coefficient of Maize Synthetics Derived from Three-Way Line Hybrids
T2 - Phyton-International Journal of Experimental Botany
PY - 2022
VL - 91
IS - 1
SN - 1851-5657
AB - Synthetic varieties (SVs) are populations generated by randomly mating their parents. They are a good alternative for low-input farmers who grow onions, maize, and other allogamous crops since the seed produced by a SV does not change from one generation to the next. Although SV progenitors are commonly pure lines, in this case a synthetic (*Syn*_{TC}) whose parents are *t* three-way line crosses, a very common type of maize hybrid grown in Mexico, is studied. The aim was to develop a general and exact equation for the inbreeding coefficient of a *Syn*_{TC} *Syn*_{TC} because of its relationship with the mean of economically important traits. This objective arose due to the need for a more advanced study in terms of determining whether *Syn*_{TC} can be applied specifically and accurately for any number of parents (*t*), plants per parent (*m*) and inbreeding coefficient (IC) of the initial lines (*F*_{L}). A formula for the IC of the *Syn*_{TC} was derived that, given any values of *F*_{L} (0 ≤ *F*_{L} ≤ 1) and *t*, is specific for any value of *m*, not just for “large” numbers associated with the context in which the Hardy-Weinberg law is stated. It was found that *Syn*_{TC} is very sensitive to changes in *m* when *m* is not greater than eight, after which it tends to stabilize very quickly. In summary, unlike previously derived formulas, *Syn*_{TC} is exact for any values of *t*, *m* and *F*_{L}.
KW - Genotypic array; genotypic mean; hybrid; random mating; *Zea mays*
DO - 10.32604/phyton.2022.016136