Abstract The objective of this work was to compare different methods estimate heritability in 30 pigeon pea families from the F3, F4, F5, and F6 generations, for nine variables. experimental design a randomized complete block with three replicates 20 plants per plot. Broad-sense estimated by analysis variance ( A N O V A) [ h 2b-E(MS)], restricted maximum likelihood/best linear unbiased predict...

Genetic improvement programs of perennial forage legumes in Brazil evaluate accessions in row plots without considering the genetic variability within accessions. Individual plant evaluations would not only allow for selection of the best accessions but also for the best individuals within accessions. This procedure is however more labor-intensive and expensive. The effectiveness of using the s...

Assume that a linear random-effects model (LRM) y = Xβ +ε = Xβ +ε with β = Aα+γ is transformed as Ty = TXβ + Tε = TXAα + TXγ + Tε by pre-multiplying a given matrix T. Estimations/predictions of the unknown parameters under the two models are not necessarily the same because the transformation matrix T occurs in the statistical inference of the transformed model. This paper presents a general al...

Through C. R. Henderson's position and the application of his knowledge, he had a major influence on genetic improvement in dairy cattle beginning in the 1950s. He developed herdmate comparisons in the United States. The first extensive program using pedigree selection and progeny testing of sires for use in AI was because of his suggestion. This program established the direction of dairy cattl...

Predictive ability of genomic EBV when using single-step genomic BLUP 1 (ssGBLUP) in Angus cattle was investigated. Over 6 million records were available on birth 2 weight (BW) and weaning weight (WW), almost 3.4 million on post-weaning gain (PWG), and 3 over 1.3 million on calving ease (CE). Genomic information was available on at most 51,883 4 animals, which included high and low EBV accuracy...

Genome wide selection and new methods of maize breeding The objectives of this work were to verify the accuracy of the Genome Wide Selection method (GWS) in the maize breeding for nutritional stress conditions and propose new breeding methods based on GWS. The efficiency of two components of use of nitrogen and phosphorus (absorption and utilization) was estimated in 41 single-cross hybrids ass...

This article presents a new investigation to the linear mixed model y = Xβ + Zγ + ε with fixed effect Xβ and random effect Zγ under a general assumption via some novel algebraic tools in matrix theory, and reveals a variety of deep and profound properties hidden behind the linear mixed model. We first derive exact formulas for calculating the best linear unbiased predictor (BLUP) of a general v...

We consider the problem of case-control association testing in samples that contain related individuals, where we assume the pedigree structure is known. Typically, for each marker tested, some individuals will have missing genotype data. The MQLS method has been proposed for association testing in this situation. We show that the MQLS method is equivalent to an approach in which missing genoty...

Milkability is a trait related to the milking efficiency of an animal, and it component herd profitability. Due its economic importance, milkability currently included in selection index Italian Simmental cattle breed with weight 7.5%. This lowly heritable measured on subjective scale from 1 3 (1 = slow, fast), genetic evaluations are performed by pedigree-based BLUP. Genomic information now av...