Principal Components Approach for Estimating Heritability of Mid-Infrared Spectrum in Bovine Milk H. Soyeurt 1,2,*, S. Tsuruta 3, I. Misztal 3 & N. Gengler.

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Principal Components Approach for Estimating Heritability of Mid-Infrared Spectrum in Bovine Milk H. Soyeurt 1,2,*, S. Tsuruta 3, I. Misztal 3 & N. Gengler 1,4 Joint ADSA-PSA-AMPA-ASAS Meeting July 8-12, 2007, San Antonio, Texas 1 Animal Science Unit, Gembloux Agricultural University, Belgium 2 FRIA, Brussels, Belgium 3 University of Georgia, Athens, USA 4 FNRS, Brussels, Belgium

Introduction  MIR Spectrometry used in milk recording  Absorptions of IR at frequencies correlated to the vibrations of specific chemical bonds within a molecule  MIR milk spectrum represents the milk composition  Improve the nutritional quality of milk  Difficulties:  1,060 spectral data  Enough genetic variability ?

Objectives  Reduce the number of traits  Estimate the genetic parameters of spectral data

Spectral Data  9,663 milk samples:  MilkoScan FT6000 during the Walloon milk recording  April 2005 and May 2006  1,937 cows in 26 herds  7 breeds : Brown Swiss, Dual Purpose Belgian Blue, Holstein Friesian, Jersey, Montbeliarde, Normande and non Holstein Meuse- Rhine-Yssel type Red and White  Limited data base: cows in first lactation:  2,850 test-day spectral records  750 cows

Trait Reduction  PCA pre-treatment:  V = UDU’ V = phenotypic (co)variances matrix for the 1,060 spectral initial traits U = matrix of eigenvectors D = diagonal matrix of eigenvalues  48 principal components described 99.02% of phenotypic spectral variability

Trait Reduction  48 new traits were estimated:  U R = the reduced matrix containing the chosen eigenvectors  I n = identity matrix of dimension n equal to the number of records  y = the vector including the 1,060 original traits  y U = the vector including the 48 new traits

Estimation of (Co)Variances  Model:  Fixed effects: Herd * test date Class of 15 days in milk  Random effects: Permanent environment effect Animal genetic effect Residual effect  Multiple diagonalization and REML  Back transformation

Estimation of (Co)Variances Heritability values ranged between 0.80 and 49.66%. PC Relative eigenvalues Heritability Permanent Environment Residual EstimateSE EstimateSE EstimateSE

Heritability of MIR Spectrum Heritability ranged between 0.48 and %

Heritability of MIR Spectrum 2 MIR regions with no potential genetic interest : 1,620 and 1,670 cm-1 3,074 and 3,656 cm-1

Fingerprint region (related to C-O and C-C stretching modes) 926 and 1,616 cm -1 Heritability of MIR Spectrum

Lipids region : 2,800 and 3,000 cm -1 Average heritability : % Heritability for %FAT :43% Heritability of MIR Spectrum

Lactose region : 1,100 cm -1 Heritability at 1,099 cm -1 = 53.13% Heritability for %lactose = 47.80% Heritability of MIR Spectrum

Lactate region : 1,515 and 1,593 cm -1 Average heritability = 24.86% Heritability of MIR Spectrum

Conclusion  PCA pre-treatment is interesting  All wave numbers are not necessary for genetic improvement  Genetic variability of MIR milk spectrum exists  Enough genetic variability to improve the nutritional quality of milk by animal selection.  Perspectives:  Increase the spectral data  Improve the model  Study in details the link between milk components and spectral data

DRIN K BETTE R MILK Thank you for your attention Study supported of FRIA through grant scholarship and FNRS through grants F and Presenting author’s