[1] INRA, Unite Rech Herbivores, UR 1213, F-63122 St Genes Champanelle, France
[2] Agri & AgriFood Canada, Dairy & Swine Res & Dev Ctr, Sherbrooke, PQ J1M 1Z3, Canada
[3] Univ Clermont Ferrand 2, Math Lab, F-63177 Clermont Ferrand, France
[4] Inst Natl Agronom Paris Grignon, UMR 791, F-75231 Paris, France