Four Equivalent Sets of Mixed-Model Equations with Relationship Matrix for Estimation of Genetic Parameters

1988 ◽  
Vol 66 (7) ◽  
pp. 1627 ◽  
Author(s):  
C. Y. Lin
2021 ◽  
Vol 12 ◽  
Author(s):  
Mohammad Ali Nilforooshan ◽  
Dorian Garrick

Reduced models are equivalent models to the full model that enable reduction in the computational demand for solving the problem, here, mixed model equations for estimating breeding values of selection candidates. Since phenotyped animals provide data to the model, the aim of this study was to reduce animal models to those equations corresponding to phenotyped animals. Non-phenotyped ancestral animals have normally been included in analyses as they facilitate formation of the inverse numerator relationship matrix. However, a reduced model can exclude those animals and obtain identical solutions for the breeding values of the animals of interest. Solutions corresponding to non-phenotyped animals can be back-solved from the solutions of phenotyped animals and specific blocks of the inverted relationship matrix. This idea was extended to other forms of animal model and the results from each reduced model (and back-solving) were identical to the results from the corresponding full model. Previous studies have been mainly focused on reduced animal models that absorb equations corresponding to non-parents and solve equations only for parents of phenotyped animals. These two types of reduced animal model can be combined to formulate only equations corresponding to phenotyped parents of phenotyped progeny.


1988 ◽  
Vol 68 (4) ◽  
pp. 1291-1295 ◽  
Author(s):  
J. NAGAI ◽  
C. Y. LIN ◽  
A. J. McALLISTER

Heritabilities and correlations between the length of reproductive life and number of parturitions during lifetime in mice were estimated from bivariate full-sib mixed-model analysis. Heritability estimates from sire components were low (0.01) for the two traits and those from dam components were slightly higher (0.06 and 0.05). Estimates of genetic and phenotypic correlations ranged from 0.89 to 0.99. It was concluded that the two traits are virtually the same trait biologically. Implication of these results for selection of lifetime production in mice and dairy cattle is discussed. Key words: Genetic parameters, reproductive trait, bivariate analysis


CERNE ◽  
2017 ◽  
Vol 23 (4) ◽  
pp. 501-506
Author(s):  
Alexandre Marques da Silva ◽  
Daniela Silvia de Oliveira Canuto ◽  
Mario Luiz Teixeira de Moraes

ABSTRACT The objective of this work is to estimate genetic parameters for silvicultural traits in riparian reforestation at 20 years of age, without progeny structure by mixed models (REML / BLUP). The present work was carried out at the Fazenda de Ensino, Pesquisa e Extensão (FEPE) of the Faculdade de Engenharia de Ilha Solteira, Universidade Estadual “Julio de Mesquita Filho” (FEIS/UNESP), located in the municipality of Selvíria (MS). In February and March of 1986 began the planting of the riparian reforestation in modules, existing two Modules with different numbers of species. The spacing used in the planting of the species was 2 x 3 m. The riparian reforestation has an area of 9.5 ha in the total sum of the two Modules of planting. The silvicultural traita evaluated at 20 years were total plant height (ALT, m), diameter at breast height (DBH, cm) and survival of planted individuals, which were used to calculate the variance component components of genetic parameters, using the genetic-statistical program SELEGEN-REML/BLUP. High genetic variability was observed among the genotypes for the silvicultural traits studied in the riparian reforestation. The accuracy was of high magnitude, showing good reliability of the results. The mixed model method (REML/BLUP) was adequate for the estimation of genetic parameters and prediction of genotypic values in riparian reforestation, and it could be used routinely.


1978 ◽  
Vol 58 (2) ◽  
pp. 271-276 ◽  
Author(s):  
W. D. SZKOTNICKI ◽  
A. K. W. TONG ◽  
K. M. KROTCH ◽  
M. A. SHARABY ◽  
L. P. JOHNSON ◽  
...  

The application of maximum likelihood estimation of variance components to all lactation milk and fat records of three dairy breeds was accomplished with relative computational ease. Discussion of some of the practical problems of maximum likelihood estimation for the mixed model with sires and cows nested within sire is presented. Further study of a few of these problems is warranted. The estimated heritabilities for milk and fat yields were.27 for all three breeds, and repeatabilities were.50, except for Milking Shorthorn where repeatability estimates were.53 and.52 for milk and fat yield, respectively.


2020 ◽  
Vol 98 (Supplement_3) ◽  
pp. 230-231
Author(s):  
Yuwen Chen ◽  
Allan P Schinckel ◽  
Terry Stewart ◽  
Luiz Brito ◽  
Hinayah Rojas de Oliveira ◽  
...  

Abstract Genetically selecting for improved animal resilience has become of great interest in modern livestock breeding. In this context, piglets experience a transitory allergic response to soybean proteins that has a negative impact on their growth and welfare. The main objective of this study was to determine whether soybean allergy response is a heritable trait, using divergently selected pig lines. The base generation pigs were generated from nine sire lines (primarily Yorkshire and Landrace) and two dam sources (Yorkshire × Chester White F1 and Landrace × Yorkshire F1). Soybean allergic response was measured, following a skin test protocol, on pigs that received a diet containing 28% soybean meal for 21 consecutive days post-weaning. The skin test was performed with an intradermal injection of soybean protein. Wheel and flare scores (ranging from 0 to 3) were assigned approximately 60 minutes post-injection. Based on the skin test total scores (i.e., the sum of the wheal and flair scores, ranging from 0 to 6), animals were selected to create two (a high and a low) soybean protein reacting lines, and bred within lines for nine generations. Phenotypes used in this study were measured on a total of 5,505 animals born from generations one to nine, in both high and low reacting lines. Significant systematic effects (P < 0.05) included in the statistical model were birth year, birth season, sex, and weaning weight (as a covariate). Genetic parameters for the skin test were estimated using a pedigree-based relationship matrix containing 9,201 animals, and a threshold animal mixed model. The genetic variance estimated for soybean allergy was 0.091, indicating that there is genetic variability in this trait. The heritability estimated for soybean allergy response was 0.139, which indicates that food allergy response is a heritable trait and can be improved through selective breeding.


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