incorporation of dna tests into a genetic evaluation

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Incorporation of DNA Tests Introduction Tenderness Example Accuracies Interim EPDs Implementation Incorporation of DNA Tests into a Genetic Evaluation Stephen D. Kachman Department of Statistics University of Nebraska–Lincoln 1 / 43

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Page 1: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Accuracies

Interim EPDs

Implementation

Incorporation of DNA Tests into a GeneticEvaluation

Stephen D. Kachman

Department of StatisticsUniversity of Nebraska–Lincoln

1 / 43

Page 2: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Accuracies

Interim EPDs

Implementation

Introduction

Objective is to evaluate the genetic potential of an animal

Phenotypic informationPedigree information

Incorporate DNA information

Marker InformationMolecular Breeding Values

Implementation

Fit alongside current approachesPracticalFlexible

2 / 43

Page 3: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Accuracies

Interim EPDs

Implementation

Introduction

Objective is to evaluate the genetic potential of an animal

Phenotypic informationPedigree information

Incorporate DNA information

Marker InformationMolecular Breeding Values

Implementation

Fit alongside current approachesPracticalFlexible

2 / 43

Page 4: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Accuracies

Interim EPDs

Implementation

Introduction

Objective is to evaluate the genetic potential of an animal

Phenotypic informationPedigree information

Incorporate DNA information

Marker InformationMolecular Breeding Values

Implementation

Fit alongside current approachesPracticalFlexible

2 / 43

Page 5: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Accuracies

Interim EPDs

Implementation

Fostered by the NBCEC

Team

Rohan Fernando (Iowa State)Rob Tempelman (Michigan State)

3 / 43

Page 6: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Accuracies

Interim EPDs

Implementation

Outline

Quick overview of current approach to genetic evaluation

DNA marker information

Incorporation into genetic evaluations

MBVs as correlated traitsSimilarities and differences with other correlated traitsChallenges and how to address them

Initial analysis

Some implications

Where do we go from here?

4 / 43

Page 7: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Accuracies

Interim EPDs

Implementation

Current Phenotypic Based Analysis

Sources of information:Phenotypic records on the trait of interestPhenotypic records on correlated traitsPedigree information

EvaluationBest Linear Unbiased Prediction

Phenotypic

Data

Pedigree

Information

EPDBLUP

5 / 43

Page 8: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Accuracies

Interim EPDs

Implementation

Overall this approach works well

Phenotypic data may be limited

Difficult to collectFor example: Carcass traits

Need complementary sources of information

DNA InformationSummarized into MBVs or Marker Scores

6 / 43

Page 9: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Accuracies

Interim EPDs

Implementation

DNA Information

Single markerSeveral markers

Thousands of markersSequence data

Summarized into marker scores

Estimated from reference populationsFlexibility to handle evolving molecular technologyFlexibility to handle evolving statistical methodology

7 / 43

Page 10: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Accuracies

Interim EPDs

Implementation

DNA Information

Single markerSeveral markersThousands of markersSequence data

Summarized into marker scores

Estimated from reference populationsFlexibility to handle evolving molecular technologyFlexibility to handle evolving statistical methodology

7 / 43

Page 11: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Accuracies

Interim EPDs

Implementation

DNA Information

Single markerSeveral markersThousands of markersSequence data

Summarized into marker scores

Estimated from reference populationsFlexibility to handle evolving molecular technologyFlexibility to handle evolving statistical methodology

7 / 43

Page 12: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Accuracies

Interim EPDs

Implementation

Marker Scores and Phenotypes

DNA Genotype Phenotype

Environment

Marker

Genotype

Marker

Score

Breeding

Value

8 / 43

Page 13: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Accuracies

Interim EPDs

Implementation

Conceptually marker scores can be viewed as a correlatedtrait

Similar to using Birth Weight when evaluating CalvingEase

Observable traitUnderlying genetic component which is correlated to thetrait of interest

9 / 43

Page 14: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Phenotype OnlyModel

Full Model

Marker OnlyModel

Reduced Models

Accuracies

Interim EPDs

Implementation

Tenderness Example

Warner-Bratzler Shear Force (kg)

410 steers

14 sires

36 contemporary groups

Marker scores

Pfizer GeneSTAR TendernessIgenity TendernessMMI Tru-Tenderness

10 / 43

Page 15: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Phenotype OnlyModel

Full Model

Marker OnlyModel

Reduced Models

Accuracies

Interim EPDs

Implementation

Models

Phenotypic Model (Single Trait Model)

Only include phenotypic dataFixed: Contemporary groupRandom: Direct additive effectResidual

Marker Model (Three Trait Model)

Fixed: Company baseline effectRandom: Direct additive effect

Full Model (Four Trait Model)

Reduced Models

Use all available phenotypic and marker scoresExploit commonalities in the genetic basis of the markerscores

11 / 43

Page 16: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Phenotype OnlyModel

Full Model

Marker OnlyModel

Reduced Models

Accuracies

Interim EPDs

Implementation

Models

Phenotypic Model (Single Trait Model)

Only include phenotypic dataFixed: Contemporary groupRandom: Direct additive effectResidual

Marker Model (Three Trait Model)

Fixed: Company baseline effectRandom: Direct additive effect

Full Model (Four Trait Model)

Reduced Models

Use all available phenotypic and marker scoresExploit commonalities in the genetic basis of the markerscores

11 / 43

Page 17: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Phenotype OnlyModel

Full Model

Marker OnlyModel

Reduced Models

Accuracies

Interim EPDs

Implementation

Models

Phenotypic Model (Single Trait Model)

Only include phenotypic dataFixed: Contemporary groupRandom: Direct additive effectResidual

Marker Model (Three Trait Model)

Fixed: Company baseline effectRandom: Direct additive effect

Full Model (Four Trait Model)

Reduced Models

Use all available phenotypic and marker scoresExploit commonalities in the genetic basis of the markerscores

11 / 43

Page 18: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Phenotype OnlyModel

Full Model

Marker OnlyModel

Reduced Models

Accuracies

Interim EPDs

Implementation

Models

Phenotypic Model (Single Trait Model)

Only include phenotypic dataFixed: Contemporary groupRandom: Direct additive effectResidual

Marker Model (Three Trait Model)

Fixed: Company baseline effectRandom: Direct additive effect

Full Model (Four Trait Model)

Reduced Models

Use all available phenotypic and marker scoresExploit commonalities in the genetic basis of the markerscores

11 / 43

Page 19: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Phenotype OnlyModel

Full Model

Marker OnlyModel

Reduced Models

Accuracies

Interim EPDs

Implementation

Phenotypic Accuracies

Generation Median Range

Sire 0.30 0.00–0.39Progeny 0.21 0.00–0.24

Accuracies are greater in the sires compared to theprogeny.

12 / 43

Page 20: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Phenotype OnlyModel

Full Model

Marker OnlyModel

Reduced Models

Accuracies

Interim EPDs

Implementation

Full Model

Included four traits

Shear ForceCompany A Marker ScoreCompany B Marker ScoreCompany C Marker Score

Genetic variances for the shear force and marker scores

Genetic Correlations of shear force with each of the markerscores

Genetic correlations between the marker scores

No residual variation in the marker score

13 / 43

Page 21: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Phenotype OnlyModel

Full Model

Marker OnlyModel

Reduced Models

Accuracies

Interim EPDs

Implementation

Median Accuracies

ModelGeneration Phenotypic Full

Sire 0.30 0.34Progeny 0.21 0.30

Accuracy increases with the addition of marker information

Benefit is greatest for the individual who is genotyped

14 / 43

Page 22: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Phenotype OnlyModel

Full Model

Marker OnlyModel

Reduced Models

Accuracies

Interim EPDs

Implementation

Full versus Phenotype EPDs (r=0.90)

−0.3 −0.2 −0.1 0.0 0.1 0.2 0.3

−0.

3−

0.2

−0.

10.

00.

10.

20.

3Sire EPD

Combined EPD

Phe

noty

pe B

ased

EP

D

15 / 43

Page 23: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Phenotype OnlyModel

Full Model

Marker OnlyModel

Reduced Models

Accuracies

Interim EPDs

Implementation

Full versus Phenotype EPDs (r=0.85)

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20.

00.

20.

4Progeny EPD

Combined EPD

Phe

noty

pe B

ased

EP

D

16 / 43

Page 24: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Phenotype OnlyModel

Full Model

Marker OnlyModel

Reduced Models

Accuracies

Interim EPDs

Implementation

Marker only model

Used genetic parameter estimates from the full model

Estimation of genetic correlations between the shear forceand marker scores requires that both be observed in thesame data set.

Excluded all shear force data when predicting the shearforce EPDs

17 / 43

Page 25: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Phenotype OnlyModel

Full Model

Marker OnlyModel

Reduced Models

Accuracies

Interim EPDs

Implementation

Median Accuracies

ModelGeneration Phenotypic Full Marker

Sire 0.30 0.34 0.13Progeny 0.21 0.30 0.16

Marker only accuracy is greatest in the individual who isgenotyped.

Once an individual has been genotyped, genotypingadditional relatives doesn’t have a direct impact onaccuracy.

18 / 43

Page 26: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Phenotype OnlyModel

Full Model

Marker OnlyModel

Reduced Models

Accuracies

Interim EPDs

Implementation

Full versus Marker EPDs (r=0.72)

−0.3 −0.2 −0.1 0.0 0.1 0.2 0.3

−0.

2−

0.1

0.0

0.1

0.2

Sire EPD

Combined EPD

Mar

ker

Bas

ed E

PD

19 / 43

Page 27: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Phenotype OnlyModel

Full Model

Marker OnlyModel

Reduced Models

Accuracies

Interim EPDs

Implementation

Full versus Marker EPDs (r=0.77)

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00.

10.

20.

30.

40.

5Progeny EPD

Combined EPD

Mar

ker

Bas

ed E

PD

20 / 43

Page 28: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Phenotype OnlyModel

Full Model

Marker OnlyModel

Reduced Models

Accuracies

Interim EPDs

Implementation

Phenotypic versus Marker EPDs (r=0.40)

−0.3 −0.2 −0.1 0.0 0.1 0.2 0.3

−0.

2−

0.1

0.0

0.1

0.2

Sire EPD

Phenotype Based EPD

Mar

ker

Bas

ed E

PD

21 / 43

Page 29: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Phenotype OnlyModel

Full Model

Marker OnlyModel

Reduced Models

Accuracies

Interim EPDs

Implementation

Phenotypic versus Marker EPDs (r=0.34)

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00.

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30.

40.

5Progeny EPD

Phenotype Based EPD

Mar

ker

Bas

ed E

PD

22 / 43

Page 30: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Phenotype OnlyModel

Full Model

Marker OnlyModel

Reduced Models

Accuracies

Interim EPDs

Implementation

Given the actual genetic parameters

Full model produces the BLUP of the EPDSame criteria used for the current phenotypic basedevaluationsAccuracies and Interim EPDs are available using standardapproaches

23 / 43

Page 31: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Phenotype OnlyModel

Full Model

Marker OnlyModel

Reduced Models

Accuracies

Interim EPDs

Implementation

Need for a Reduced Model

A direct implementation of this approach would require anew trait whenever a new (or modified) marker score isintroduced

Increases the computational and memory requirements

Reduced models will allow for the evolution of markerscores while keeping the computational and memoryrequirements within reason

24 / 43

Page 32: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Phenotype OnlyModel

Full Model

Marker OnlyModel

Reduced Models

Accuracies

Interim EPDs

Implementation

Conceptual framework

Given the common genetic basis of the marker scores it isexpected that they will share a number of commonfeatures

Partition a marker score into two independent components

1 Component associated with the true EPD of the trait2 Residual component

Score

Marker Marker

Residual

EPD

b EPD= +

25 / 43

Page 33: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Phenotype OnlyModel

Full Model

Marker OnlyModel

Reduced Models

Accuracies

Interim EPDs

Implementation

Conceptual framework

Given the common genetic basis of the marker scores it isexpected that they will share a number of commonfeatures

Partition a marker score into two independent components1 Component associated with the true EPD of the trait2 Residual component

Score

Marker Marker

Residual

EPD

b EPD= +

25 / 43

Page 34: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Phenotype OnlyModel

Full Model

Marker OnlyModel

Reduced Models

Accuracies

Interim EPDs

Implementation

EPD Component

Each marker score will have its own weight component (b)

Function of the genetic correlation between the markerscore and the phenotypic trait.

Allows for different units between the marker score andphenotypic trait.

Allows for multiple marker scores on an individual animal.

Maintains the sparsity and the size of the estimatingequations.

26 / 43

Page 35: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Phenotype OnlyModel

Full Model

Marker OnlyModel

Reduced Models

Accuracies

Interim EPDs

Implementation

Residual Component

Models the proportion of variability in the true EPD notaccounted for by the marker scores.

The greater the correlation between a marker score andthe EPD the smaller the residual variance.

The correlation in the residual components accounts forredundant information in multiple marker scores.

Allow a quantification of the gain in accuracy from usingmultiple marker scores.

27 / 43

Page 36: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Phenotype OnlyModel

Full Model

Marker OnlyModel

Reduced Models

Accuracies

Interim EPDs

Implementation

If marker scores are only available on unrelated animals.

There will be only a trivial impact on the computationalrequirements.

For related animals

Introduces an extra trait for each marker

However, because of the independence of the residualcomponent from the effects of interest

Should be possible to reduce the number traits, with aminimal impact on the estimated EPDs

28 / 43

Page 37: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Phenotype OnlyModel

Full Model

Marker OnlyModel

Reduced Models

Accuracies

Interim EPDs

Implementation

Reduced Models Examined

Because observations were collected on half-sibs theresidual components will be correlated

Two reduced models were compared to four traitcombined model.

Three trait modelTwo trait model

29 / 43

Page 38: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Phenotype OnlyModel

Full Model

Marker OnlyModel

Reduced Models

Accuracies

Interim EPDs

Implementation

Full versus Three Trait EPDs (r=0.99)

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3−

0.1

0.0

0.1

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Sire EPD

Combined EPD

Thr

ee T

rait

App

rox

EP

D

30 / 43

Page 39: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Phenotype OnlyModel

Full Model

Marker OnlyModel

Reduced Models

Accuracies

Interim EPDs

Implementation

Full versus Three Trait EPDs (r=0.99)

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Combined EPD

Thr

ee T

rait

App

rox

EP

D

31 / 43

Page 40: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Phenotype OnlyModel

Full Model

Marker OnlyModel

Reduced Models

Accuracies

Interim EPDs

Implementation

Full versus Two Trait EPDs (r=0.98)

−0.3 −0.2 −0.1 0.0 0.1 0.2 0.3

−0.

3−

0.1

0.0

0.1

0.2

0.3

Sire EPD

Combined EPD

Tw

o T

rait

App

rox

EP

D

32 / 43

Page 41: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Phenotype OnlyModel

Full Model

Marker OnlyModel

Reduced Models

Accuracies

Interim EPDs

Implementation

Full versus Two Trait EPDs (r=0.99)

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rait

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rox

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D

33 / 43

Page 42: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Phenotype OnlyModel

Full Model

Marker OnlyModel

Reduced Models

Accuracies

Interim EPDs

Implementation

Comparison with the Phenotype Model

Phenotype Model Reduced Model

−0.3 −0.2 −0.1 0.0 0.1 0.2 0.3

−0.

3−

0.2

−0.

10.

00.

10.

20.

3Sire EPD

Combined EPD

Phe

noty

pe B

ased

EP

D

−0.3 −0.2 −0.1 0.0 0.1 0.2 0.3

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3−

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rait

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noty

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ased

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D

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−0.2 0.0 0.2 0.4 0.6

−0.

20.

00.

20.

40.

6

Progeny EPD

Combined EPD

Tw

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rait

App

rox

EP

D

34 / 43

Page 43: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Accuracies

Interim EPDs

Implementation

Accuracies

Calculated using a h2 of 0.4 and a genetic correlationbetween the marker scores and shear force of 0.45.

Single Marker Score with 10 sires and 10 progeny/sire

AccuracyPhenotype Genotype Sire Progeny

Progeny None 0.27 0.24Progeny Progeny 0.28 0.29Progeny Sire 0.31 0.25Progeny Both 0.33 0.29

35 / 43

Page 44: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Accuracies

Interim EPDs

Implementation

Without Phenotype Information

AccuracyPhenotype Genotype Sire Progeny

None Progeny 0.07 0.11None Sire 0.10 0.02None Both 0.10 0.11

36 / 43

Page 45: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Accuracies

Interim EPDs

Implementation

Single Progeny/Sire

AccuracyPhenotype Genotype Sire Progeny

Progeny None 0.05 0.20Progeny Progeny 0.05 0.25Progeny Sire 0.13 0.21Progeny Both 0.13 0.25

37 / 43

Page 46: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Accuracies

Interim EPDs

Implementation

Without Phenotype Information

AccuracyPhenotype Genotype Sire Progeny

None Progeny 0.02 0.10None Sire 0.10 0.02None Both 0.10 0.10

38 / 43

Page 47: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Accuracies

Interim EPDs

Implementation

Once an individual has been genotyped there is minimalbenefit in terms of accuracy to genotyping relatives.

Indirect benefit, if the genotyped ancestor has phenotypicinformation.

Greatest benefit from genotyping is for animals withlimited phenotypic information.

39 / 43

Page 48: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Accuracies

Interim EPDs

Implementation

Interim EPDs

Simplified, an interim EPD:Takes the EPD from the current evaluation

Typically based on the parental EPDs

Along with new information

Typically based on an individual’s own adjusted recorddeviated from the adjusted records of its contemporaries,

The new information is then given a weight and added tothe individual’s current EPD to produce an interim EPD.

40 / 43

Page 49: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Accuracies

Interim EPDs

Implementation

Marker Score Interim EPDs

A marker score on an individual is a new piece ofinformation

Marker score would need to be adjusted in the same way aphenotypic record is adjustedUsing the appropriate weight the adjusted marker score isadded to the current EPD to produce a marker scoreinterim EPD.

The weight will be a function of the genetic variances andcovariances.

41 / 43

Page 50: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Accuracies

Interim EPDs

Implementation

Methodology is in place.

Methodology is based on a robust and familiar statisticalfoundation.

EPDs, Accuracies, and Interim EPDs will be available

Extension of the current approach to genetic evaluation.

Can make use of lessons already learned

42 / 43

Page 51: Incorporation of DNA Tests into a Genetic Evaluation

Incorporationof DNA Tests

Introduction

TendernessExample

Accuracies

Interim EPDs

Implementation

What needs to be done?

Estimation of genetic parameters

Resource populations for estimation of genetic parameters

Reporting criteria

Evaluate the effect of selective reporting

Criteria for determining when a marker score is ready to beincluded

Step beyond validation

Evaluate the trade off between computationalrequirements and model complexity

Software development

43 / 43