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Table 1 Mixed models of each fertility trait for Australian Thoroughbred horses. Foal, sire and dam inbreeding were estimated in separate models. Model descriptions are in R syntax, not full mathematical notation

From: The effects of inbreeding on covering success, gestation length and foal sex ratio in Australian thoroughbred horses

Outcome variableModel typeModels
Gestation lengthLMMGL ~ mare.age + month + foal.sex + season + F + ped (mare) + ide (mare)
GL ~ mare.age + month + foal.sex + season + F + ped (sire) + ide (sire)
Foaling rateBinomial GLMMCS ~ mare.age + month + season + F + ped (mare) + ide (mare)
CS ~ mare.age + month + season + F + ped (sire) + ide (sire)
Foal sex ratioBinomial GLMMSR ~ mare.age + month + season + F + ped (mare) + ide (mare)
SR ~ mare.age + month + season + F + ped (sire) + ide (sire)
  1. LMM Linear mixed model, GLMM Generalised linear mixed model, GL Gestation length, CS Foaling rate, SR Foal sex ratio, mare.age = age of the mare at the time of covering, month = month of covering, F = inbreeding coefficient of the sire, dam or foal (models were run separately for each), ped = pedigree of the mare, ide = permanent environmental effect of the mare