@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 (<i>Syn<sub>TC</sub></i>) whose parents are <i>t</i> 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 <i>Syn<sub>TC</sub></i> <img src="http://www.techscience.com/ueditor/files/shangxia.png" height=“5px”><i>Syn<sub>TC</sub></i> 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 <img src="http://www.techscience.com/ueditor/files/shangxia.png" height=“5px”><i>Syn<sub>TC</sub></i> can be applied specifically and accurately for any number of parents (<i>t</i>), plants per parent (<i>m</i>) and inbreeding coefficient (IC) of the initial lines (<i>F<sub>L</sub></i>). A formula for the IC of the <i>Syn<sub>TC</sub></i> was derived that, given any values of <i>F<sub>L</sub></i> (0 ≤ <i>F<sub>L</sub> </i>≤ 1) and <i>t</i>, is specific for any value of <i>m</i>, not just for “large” numbers associated with the context in which the Hardy-Weinberg law is stated. It was found that <img src="http://www.techscience.com/ueditor/files/shangxia.png" height=“5px”><i>Syn<sub>TC</sub></i> is very sensitive to changes in <i>m</i> when <i>m</i> is not greater than eight, after which it tends to stabilize very quickly. In summary, unlike previously derived formulas, <img src="http://www.techscience.com/ueditor/files/shangxia.png" height=“5px”><i>Syn<sub>TC</sub></i> is exact for any values of <i>t</i>, <i>m</i> and <i>F<sub>L</sub></i>.},
DOI = {10.32604/phyton.2022.016136}
}