Asymptotic four-path genomic index selection response with or without accounting for the uncertainty of the predictions

Togashi, Kenji; Adachi, Kazunori; Kurogi, Kazuhito; Watanabe, Toshio; Nurimoto, Masanobu; Toda, Syohei; Hirohama, Kiyohide; Takahashi, Tsutomu

doi:10.1016/j.livsci.2020.104139

Cited by 1 publication

(8 citation statements)

References 26 publications

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“…The annual genetic gain for the first trait (h 2 =0.3) during two-stage selection was nearly equal to that of single-stage selection. The reliability of GEBV for the first trait during generation 0 (that is, 0.4006) was set lower in the current study than in that of Togash K, et al [7,8]; consequently genetic gain for even moderately heritable traits (h 2 =0.3) will be increased when the reliability of GEBV is set higher than in the current study. The annual genetic gains for the second trait (h 2 =0.05) after two-stage selection were 53% to 97% greater than those from single-stage selection.…”

Section: Asymptotic Genetic Responses To Selectioncontrasting

confidence: 71%

“…where n is the number of the dam's own records with the assumption of repeatability=h 2 +0.1. Covariance components of GEBV for two traits 12 ĝ σ are derived by assuming that sufficient data are used to estimate marker effects [7,8,15]; that is, covariance components of σ is the genetic covariance between traits 1 and 2.…”

Section: Two-stage Selection Under Assumption Of Normal Distributionmentioning

confidence: 99%

“…Four-path selection: Four-path selection due to SS (selection path: sires to breed sires), SD (selection path: sires to breed dams), DS (selection path: dams to breed sires), and DD (selection path: dams to breed dams) is considered as in the work of Togashi K,et al [7,8]. In the previous section, we considered two-stage selection and defined the first-and second-selection indices as y I and prs I , respectively.…”

Section: Asymptotic Response To Four-path Selection Due To Two-stage Index Selectionmentioning

confidence: 99%

“…Xu SZ and Muir WM [5,6] developed a fairly general approach that is based on transforming the indices during a generation to a set of orthogonal values that is, independent selection indices. Togashi K, et al [7,8] developed formulas for calculating the asymptotic response from single-stage index selection for differential selection among male and female parents and of parents to produce male versus female replacements (namely, four-path selection programs). The index traits were based on genomically enhanced breeding values (GEBVs) computed from multiple-trait best linear unbiased prediction (MT-BLUP).…”

Section: Introductionmentioning

confidence: 99%

“…according to MT-BLUP properties [17] and deriving covariance GEBV between traits i and j [15]. Genetic gain for the aggregate genotype (H) due to second selection on I prs is given as Because GEBVs in I prs are given according to single-step genomic BLUP, the selection index coefficients composed of GEBVs in I prs are the same as the economic weights of the aggregate genotype [7,8,18].…”

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confidence: 99%

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Asymptotic Genetic Response Due to Two-Stage Genomic Index Selection Derived from Correlated or Independent Indices during Both Stages

Togashi¹,

Adachi²,

Kurogi³

et al. 2021

J Anim Sci Res

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We developed equations to predict the asymptotic response due to two-stage selection, where first-stage selection was performed by using GEBVs based solely on genotypes and second-stage selection was performed with GEBVs that combined genotypes and phenotypes. The situation that we considered involved four-path selection executed as sires to breed sons, sires to breed daughters, dams to breed sons, and dams to breed daughters. We established two procedures to predict the response. The first incorporated correlated indices during the first and second-stage selections of two-stage selection. The other procedure used independent indices during two-stage selection. The response per generation in the initial generation was greater for the correlated indices than for the independent indices. However, the asymptotic response per generation was slightly greater for the independent indices than for the correlated indices. The asymptotic response per generation was lower during two-stage selection than during single-stage selection. However, the asymptotic response per year was greater for two-stage selection than for single-stage selection. In addition, that trend was more conspicuous when the economic weight was 1:3 for the first (h2 =0.3) to second (h2 =0.05) index trait compared with economic weights of 1:1 and 3:1. However, the magnitude of the response to the aggregate genotype-relative not to single-stage selection but to absolute magnitude was greater at an economic weight of 3:1 than at those of 1:1 and 1:3. The reduction in genetic variance from the initial to an asymptotic generation was greater for a scenario where young parents selected at the first-stage accounted for 30% of all parents in two-stage selection than where they accounted for 70%. The reduction in genetic variance of the aggregate genotype over generations was smaller for independent indices than correlated indices during two-stage selection. Our new formula for predicting genetic response applies to any combination of accuracies of GEBVs and intensities of selection. Therefore, the formula presented is a general equation for predicting genetic response over generations due to two-stage genomic index selection.

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Section: Asymptotic Genetic Responses To Selectioncontrasting

confidence: 71%

Section: Two-stage Selection Under Assumption Of Normal Distributionmentioning

confidence: 99%

Section: Asymptotic Response To Four-path Selection Due To Two-stage Index Selectionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

See 3 more Smart Citations

Asymptotic Genetic Response Due to Two-Stage Genomic Index Selection Derived from Correlated or Independent Indices during Both Stages

Togashi¹,

Adachi²,

Kurogi³

et al. 2021

J Anim Sci Res

View full text Add to dashboard Cite

show abstract

Asymptotic four-path genomic index selection response with or without accounting for the uncertainty of the predictions

Cited by 1 publication

References 26 publications

Asymptotic Genetic Response Due to Two-Stage Genomic Index Selection Derived from Correlated or Independent Indices during Both Stages

Asymptotic Genetic Response Due to Two-Stage Genomic Index Selection Derived from Correlated or Independent Indices during Both Stages

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