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Aus dem Institut für Tierzucht und Vererbungsforschung - Stiftung ...

Aus dem Institut für Tierzucht und Vererbungsforschung - Stiftung ...

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Genetic analysis of primary cataract, persistent pupillary membrane and distichiasis<br />

diagnosis for dogs affected by CAT or at last ophthalmological examination for dogs<br />

unaffected by CAT (0 to 1.5, 1.5 to 3.5, 3.5 to 5.5, >5.5 years) and age at first diagnosis for<br />

dogs affected by PPM or age at first ophthalmological examination for dogs unaffected by<br />

PPM (≤1.5, 1.5 to 3.5, >3.5 years). Inbreeding coefficient was considered as linear covariate.<br />

The effects of dam, litter, kennel and veterinary ophthalmologist were treated as random<br />

effects. The percentage of variance explained by dam, litter, kennel or veterinary<br />

ophthalmologist was less than 0.22% in the single-colored and less than 0.11% in the multi-<br />

colored ECS. None of the considered random effects had a significant influence on the<br />

prevalence of the PIED analyzed in this study.<br />

The final model for single-colored and multi-colored ECS included age at first diagnosis or at<br />

last ophthalmological examination as fixed effect for CAT, inbreeding coefficient as linear<br />

covariate for CAT, CAT-early and CAT-late, age at first diagnosis or at first<br />

ophthalmological examination as fixed effect for PPM and number of ophthalmological<br />

examinations per dog as fixed effect for DIST.<br />

Heritabilities (h 2 obs) and additive genetic (rg) and residual correlations (re) were calculated<br />

from the estimated additive genetic (σa 2 ) and residual variances (σe 2 ) and covariances (cova,<br />

cove):<br />

h 2 obs = σa 2 / σp 2 = σa 2 / (σa 2 + σe 2 )<br />

rg = cov(a1,a2 ) / σa1σa2<br />

re = cov(e1,e2 ) / σe1σe2<br />

In order to compensate for the <strong>und</strong>erestimation of heritabilities of binary traits in linear model<br />

analyses, the estimated heritabilities and residual correlations were transformed from the<br />

linear model into the threshold model according to Dempster and Lerner (1950) and Vinson et<br />

al. (1976):<br />

h 2 DL = h 2 obs [pi (1- pi )] / zi 2<br />

with h²DL = heritability of trait i on the <strong>und</strong>erlying continuous scale, h²obs = heritability of trait<br />

i on the observed scale, pi = frequency of outcome 1 for trait i, and zi = ordinate of a standard<br />

normal distribution at the threshold point corresponding to a fraction pi of the population<br />

which has the character in question.<br />

reV = reobs {[pi (1- pi )] / zi 2 } 1/2 {[pj (1- pj )] / zj 2 } 1/2<br />

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