Optimal Partial Diallel Cross Plan and Its Constructions | Chapter 9 | Research and Applications Towards Mathematics and Computer Science Vol. 8

In this chapter, a new method of constructing a partial diallel cross plan using the two blocked (equal block) and unblocked (unequal block) balanced incomplete block designs d1 and d2, and each design has two sets of parameters m1, m2, and n1, n2, where S0 ≥6 with parameters v,b,r,k and λ, is proposed. In plant breeding operations, diallel crossings are employed to explore the genetic characteristics of inbred lines. Using the linear model, estimated only the general combining ability effects. The crosses were taken based on the design parameters, and each cross occurred only once in constructing the partial diallel cross plan. When the number of lines (v) increases, the efficiency factor (Ep) and efficiency factor (E*) per cross will increase. The constructed method is also illustrated with a suitable example. The MS-optimality criterion is significantly more straightforward than traditional criteria since it allows for algebraic findings in an area where different criteria are typically only evaluated numerically, design by design.

Author(s) Details:

Rajarathinam, A.,
Department of Statistics, Manonmaniam Sundaranar University, Tirunelveli – 627 012, India.

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General and Specific Combining Ability Studies in Brinjal (Solanum melongena L.) | Chapter 7 | Recent Advances in Science and Technology Research Vol. 2

This experiment aimed to determine General Combining Ability (GCA) and Specific Combining Ability (SCA) of six parental lines; SBRB-6/12, SBRB-1/12, KS-224, SBRB-2/12, Swarna Mani and SBRB3/12 through full-diallel parental crosses. Experiment was conducted from June 2012 to march 2013 and designed in Randomized Complete Block with three replications. The combining ability analysis revealed highly significant differences among the treatments for all the parameters studied except days to 50% flowering and number of primary branches per plant. The genotype SBRB-6/12 was found best general combiner for number of fruit per plant and yield per plant. The top three crosses (SBRB-3/12 x SBRB-2/12, SBRB-6/12 x SBRB-3/12 and KS-224 x Swarna Mani) with high per se performance have exhibited high SCA effects for yield. Both additive and non-additive gene actions were operating for all the characters except days to 50% flowering, fruit diameter and number of primary branches per plant. Therefore, the general combiner can be exploited for the creation of varieties and the presence of specific combinining ability in the hybrids. 

Author(s) Details

Ravi Kumar
Bihar Agricultural University, Sabour, Bhagalpur, Bihar, India 813210

Randhir Kumar
Bihar Agricultural University, Sabour, Bhagalpur 813210, India

Sangeeta Shree
Bihar Agricultural University, Sabour, Bhagalpur 813210, India.

Amit Kumar
Birsa Agricultural University, Ranchi, Jharkhand 834006, India.

Divakar Kumar Bharati
Bihar Agricultural University, Sabour, Bhagalpur 813210, India.

Saksham Kumar Sinha
 Bihar Agricultural University, Sabour, Bhagalpur 813210, India.

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