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ARTICLE
General and Exact Inbreeding Coefficient of Maize Synthetics Derived from Three-Way Line Hybrids
Alejandro Ibarra-Sánchez, Juan Enrique Rodríguez-Pérez, Aureliano Peña-Lomelí, Clemente Villanueva-Verduzco, Jaime Sahagún-Castellanos*
Crop Science Department, Chapingo Autonomus University, Chapingo, 56230, México
* Corresponding Author: Jaime Sahagún-Castellanos. Email:
(This article belongs to this Special Issue: Plant Physiology for Crop Production and Sustainable Agriculture)
Phyton-International Journal of Experimental Botany 2022, 91(1), 33-43. https://doi.org/10.32604/phyton.2022.016136
Received 09 February 2021; Accepted 31 May 2021; Issue published 16 August 2021
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 (
SynTC) 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
SynTC SynTC 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
SynTC can be applied specifically and accurately for any number of parents (
t), plants per parent (
m) and inbreeding coefficient (IC) of the initial lines (
FL). A formula for the IC of the
SynTC was derived that, given any values of
FL (0 ≤
FL ≤ 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
SynTC 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,
SynTC is exact for any values of
t,
m and
FL.
Keywords
Cite This Article
Ibarra-Sánchez, A., Rodríguez-Pérez, J. E., Peña-Lomelí, A., Villanueva-Verduzco, C., Sahagún-Castellanos, J. (2022). General and Exact Inbreeding Coefficient of Maize Synthetics Derived from Three-Way Line Hybrids.
Phyton-International Journal of Experimental Botany, 91(1), 33–43.