[6 lettres autographes signées de Jules Barbier à Henri Heugel, 1897]

23 janvier 1897. Au sujet de ses droits d'auteurs. - 26 mars 1897. Demande une avance. - 1er avril 1897. A bien reçu son avance pour le mois de mai et redemande encore de l'argent à son éditeur. - 24 mai 1897. Demande à nouveau de l'argent. - 31 juillet 1897. Conteste une dette de 1700 francs qu'il aurait contractée avec Heugel. Lui demande de vérifier dans ses livres de caisse. - 29 octobre 1897. Papier bordé de noir. L'informe qu'il prononcera quelques mots à l'occasion de l'inauguration du monument d'Antonin Mercié

Random regression models to estimate genetic parameters for milk production of Guzerat cows using orthogonal Legendre polynomials

The objective of this work was to compare random regression models for the estimation of genetic parameters for Guzerat milk production, using orthogonal Legendre polynomials. Records (20,524) of test-day milk yield (TDMY) from 2,816 first-lactation Guzerat cows were used. TDMY grouped into 10-monthly classes were analyzed for additive genetic effect and for environmental and residual permanent effects (random effects), whereas the contemporary group, calving age (linear and quadratic effects) and mean lactation curve were analized as fixed effects. Trajectories for the additive genetic and permanent environmental effects were modeled by means of a covariance function employing orthogonal Legendre polynomials ranging from the second to the fifth order. Residual variances were considered in one, four, six, or ten variance classes. The best model had six residual variance classes. The heritability estimates for the TDMY records varied from 0.19 to 0.32. The random regression model that used a second-order Legendre polynomial for the additive genetic effect, and a fifth-order polynomial for the permanent environmental effect is adequate for comparison by the main employed criteria. The model with a second-order Legendre polynomial for the additive genetic effect, and that with a fourth-order for the permanent environmental effect could also be employed in these analyses.