Open Access

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 (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.

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Keywords

Genotypic array; genotypic mean; hybrid; random mating; Zea mays

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