This study was conducted to (1) estimate Wood's incomplete gamma function parameters (a, b and c) for individual registered Tunisian Holsteins in the 3 first lactations; (2) estimate persistency (Per), peak time (PT), peak yield (PY) and 305-day lactation milk yields (Y305); (3) estimate the genetic parameters of the predicted traits and (4) evaluate the genetic trend of the most heritable traits. Pedigree data and 380,709 test-day milk records of 20,758 Holstein cattle collected from 2008 to 2018 in 33 herds were analyzed. Initially, Wood's incomplete gamma function parameters were determined and subsequently along with some production characteristics (Per, PT, PY and Y305).
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