Principles of Plant Genetics and Breeding. George Acquaah

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       Single crossIf two elite lines are available that together possess all desired traits at adequate levels, one cross (single cross [A × B]) may be all that is needed in the breeding program.

       Three‐way crossSometimes, for combining all desirable traits several cultivars or elite germplasm are required, since each pair may have some negative traits in common. In this case, multiple crosses may be required in order to have the opportunity of obtaining recombinants that combine all the desirable traits. The method of 3‐way crosses ([A × B] × C) may be used. If a 3‐way cross product will be the cultivar, it is important that especially the third parent (C) be adapted to the region of intended use, since it contributes more genes than each of the A and B parents.

       Double crossA double cross is a cross of two single crosses ([A × B] × [C × D]). The method of successive crosses is time consuming. Further, the complex crosses such as double cross have a low frequency of yielding recombinants in the F2 that possess a significant number of desirable parental genes. When this method is selected, the number of targeted desirable traits should be small (at most about 10). The double‐cross hybrid is genetically more broad‐based than the single‐cross hybrid but is more time consuming to make.

       Diallel crossA diallel cross is one in which each parent is crossed with every other parent in the set (complete diallel), yielding n − (n−1)/2 different combinations (where n = number of entries). This method entails making a large number of crosses. Sometimes, the partial diallel is used in which only certain parent combinations are made. The method is tedious to apply to self‐pollinated species. Generally, it is a crossing method for genetic studies, and less for the purpose of creating populations for breeding.

Schematic illustration of the basic types of crosses used by plant breeders. Some crosses are divergent (a) while others are convergent (b).

      6.10.2 Convergent crosses

      These are conservative methods of crossing plants. The primary goal of convergent crossing is to incorporate a specific trait into an existing cultivar without losing any of the existing desirable traits. Hence, one (or several) parents serve as a donor of specific genes and is usually involved in the cross only once. Subsequent crosses entail crossing the desirable parent (recurrent parent) repeatedly to the F1, in order to retrieve all the desirable traits. A commonly used convergent cross is the backcross (see Chapter 17).

      Bryan Kindiger

      USDA‐ARS, Grazinglands Research Laboratory, 7207 West Cheyenne St., El Reno, OK 73036 USA

       A historical review

      Research in maize‐Tripsacum hybridization is extensive and encompasses a period of more than 60 years of collective research. A vast amount of literature exists on various facets of this type of hybridization ranging from agronomy, plant disease, cytogenetics, breeding, and genetic analysis. Consequently, no single article can cover all the research relevant to this topic. This report will not address all the various issues, but focus primarily on specific research and experiments which would perhaps be of value to a student interested in this topic. The interested student is encouraged to review the references below and follow the additional references cited by the various authors to obtain more information on this topic.

Photo depicts the stand of Tripsacum dactyloides in Woodward, County, OK, USA. Individual standing in the gamagrass is Dr. Victor Sokolov, Institute of Cytology and Genetics, Novosibirsk, Russia.

      In 1939, Mangelsdorf and Reeves published their historical monograph “The Origin of Indian Corn and Its Relatives,” in which they discussed their research and views on the relationship of cultivated Zea mays to its distant cousins, teosinte (the closest relative of maize) and Tripsacum spp. (Mangelsdorf and Reeves 1939). Though these early views regarding the origins of maize and its relationship to teosinte and Tripsacum are controversial and are open to discussion and further investigations, the procedures for generating such interspecific hybridizations remains relatively unchanged.

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