@Article{phyton.2022.016136,
AUTHOR = {Alejandro Ibarra-Sánchez, Juan Enrique Rodríguez-Pérez, Aureliano Peña-Lomelí, Clemente Villanueva-Verduzco, Jaime Sahagún-Castellanos},
TITLE = {General and Exact Inbreeding Coefficient of Maize Synthetics Derived from Three-Way Line Hybrids},
JOURNAL = {Phyton-International Journal of Experimental Botany},
VOLUME = {91},
YEAR = {2022},
NUMBER = {1},
PAGES = {33--43},
URL = {http://www.techscience.com/phyton/v91n1/44071},
ISSN = {1851-5657},
ABSTRACT = {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}.},
DOI = {10.32604/phyton.2022.016136}
}