scholarly journals Expectation and variance of the estimator of the maximized selection response of linear selection indices with normal distribution

2020 ◽  
Vol 133 (9) ◽  
pp. 2743-2758
Author(s):  
J. Jesus Cerón-Rojas ◽  
Jose Crossa
2004 ◽  
Vol 44 (5) ◽  
pp. 405 ◽  
Author(s):  
J. H. J. van der Werf

Residual feed intake is a linear function of feed intake, production and maintenance of liveweight, and as such is an attractive characteristic to use to represent production efficiency. The phenotypic and genetic parameters of residual feed intake can be written as a function of its constituent traits. Moreover, selection indices containing the constituent traits are equivalent with an index that includes residual feed intake. Therefore, definition of the term residual feed intake may be useful to interpret variation in production efficiency, but it does not help in obtaining a better selection response than selection on constituent traits alone. In fact, multiple trait genetic evaluation of constituent traits rather than residual feed intake is likely to be more accurate as this more appropriately accommodates different models for the constituent traits and missing data. For residual feed intake to reflect true biological efficiency in growing animals, it is important that feed intake and liveweight are accurately measured. Accounting for growth and body composition would significantly help in revealing between-animal variation in feed utilisation. Random regression models can be helpful in indicating variation in feed efficiency over the growth trajectory.


2019 ◽  
Vol 97 (Supplement_3) ◽  
pp. 45-45
Author(s):  
Emmanuel A Lozada-Soto ◽  
Justin Fix ◽  
Clint Schwab ◽  
Francesco Tiezzi

Abstract Meat quality (MQ) and carcass composition (CC) are traits with high economic value, but their phenotyping costs makes direct selection for these traits economically unsustainable. Evaluation of traits with lower cost of collection in crossbred (CB) and purebred (PB) animals for use in selection for MQ and CC remains limited. The aim of this study was to measure the response to selection of economically important MQ and CC traits using different selection indices built on cost-effective correlated traits. Phenotypic and genomic information (using 60K SNP chips) was collected for three-way CB (n = 1227 to 5117 phenotyped, n = 1252 genotyped) and PB (n = 3,251 phenotyped, n = 1035 genotyped) Duroc animals belonging to 28 paternal half-sib families. The three breeding objectives (for which response was estimated) were intramuscular fat (IMF), slice shear force (SSF), and loin weight (LW). In total 7 different selection indices (A-G) were used to estimate the selection response for each breeding objective (Table 1). Heritability and genetic correlation parameters for all traits were estimated using GIBBS1F90. Selection response was obtained as expected response per generation weighed by the accuracy of breeding values estimated from a 4-fold cross validation, where animals were grouped based on sire relatedness. For all three breeding objectives, the index which provided best selection response was A (direct selection), with values of 0.35%, -0.72 kg, and 0.85 kg for IMF, SSF, and LW respectively. The index which provided the second-best selection response was B (color and pH traits) for all three breeding objectives, with values of 0.15%, -0.26kg, and 0.30kg for IMF, SSF, and LW respectively. Results for selection response using indices C-G can be found in Table 1. In the absence of direct selection due to high costs of phenotyping, respectable selection response can be achieved by indirect selection using traits with lower cost of collection.


1994 ◽  
Vol 74 (3) ◽  
pp. 419-424 ◽  
Author(s):  
M. D. MacNeil ◽  
S. Newman

Relative economic values and literature estimates of genetic and phenotypic variances and covariances were used to develop selection indices for specialized maternal and terminal strains of beef cattle. The envisioned commercial production setting used three maternal strains mated in rotation. Yearling heifers were mated to a terminal sire strain (M3) to minimize dystocia and neonatal mortality without closely monitored calving. Mature cows were bred to a second terminal strain (TX) to produce market progeny. Acccuracies for all indices were low: 0.22, 0.22 and 0.19 for the maternal strains, M3 and TX, respectively. Predicted correlated responses to index selection were not economically favorable for all traits within strain but were offsetting between strains. At the production system level, genetic improvement in profitability resulted from all traits except feed conversion. Fertility and calf survival were improved in all strains. Direct genetic potential for growth was reduced in the maternal strains but was increased in TX and to a lesser degree in M3. There was a tradeoff between maternal and terminal strains in responses of carcass traits. Maternal strains increased in dressing percentage and decreased in cutability, while M3 and TX decreased in dressing percentage and increased in cutability. Arduously slow improvement in profitability is anticipated: $1.07 per breeding female per unit of selection response. Key words: Beef cattle, selection program, selection index


1988 ◽  
Vol 46 (1) ◽  
pp. 79-85 ◽  
Author(s):  
M. A. Toro ◽  
L. Silio ◽  
J. Rodrigañez ◽  
M. Teresa Dobao

ABSTRACTThe use of family selection indices has been proposed as a promising selection method for increasing prolificacy in pigs. Responses of up to 0-50 pigs per litter per generation are predicted from selection programmes using information from the dam and from relatives (full and half-sibs) of the dam and sire. In order to test this method in populations of finite size, the rates of selection response and the accumulation of inbreeding have been studied by simulation along 10 generations in a selected herd of 10 sires and 100 dams using five different family selection indices (Id, Ifd, Ihd, Ifs, Ihs). Two undesirable features were evident: (a) the standard deviations of indices were lower than those expected; and (b) the increase of inbreeding was up to three times that expected without selection. Both effects increased with the complexity of the family index reducing the rates of selection responses per generation, when a genetic model with dominance was assumed, to values close to 0·20 piglets, similar to those obtained with the basic index (Id). Some results of inbreeding effects on reproductive traits in three strains of an old closed herd of Iberian pigs are also presented. Multiple regression analysis of data from 4657 litters indicated a decrease in the number of live born ranging from 0·14 to 0·35 piglets per 10% increase in dam or litter inbreeding coefficient.


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