Supplemental File S1-S3

Supplemental File S1. Reproductive traits of the number of services per conception (SC), 3-wk submission (SR21), 6-wk submission (SR42), 3-wk in-calf (PR21), 6-wk in-calf (PR42), conception to the first service (PRFS), not in-calf (NIC), 3-wk calving (CR21) and 6-wk calving (CR42) by breed for different milking regimens are presented below respectively. In general, in each milking regimen, F×J cows had the lowest SC, NIC and highest mean percent of SR21, SR42, PR21, PR42, PRFS, CR21 and CR42 than the F and J cows. Friesian, J and their crossbred cows milked under OAD in the entire season had the lowest SC, NIC and highest mean percent of SR21, PR21, PR42, PRFS, CR21, CR42 compared to the F, J and F×J cows milked under TAD and OAD milking in part of the lactation. Supplemental File S2. Reproductive traits of the number of services per conception (SC), 3-wk submission (SR21), 6-wk submission (SR42), 3-wk in-calf (PR21), 6-wk in-calf (PR42), conception to the first service (PRFS), not in-calf (NIC), 3-wk calving (CR21) and 6-wk calving (CR42) by parity for different milking regimens are represented in below respectively. Each parity, cows milked under OAD in the entire season had the lowest SC and NIC than cows milked under TAD and OAD milking in part of the lactation. Also, in every lactation cows milked under OAD had a higher mean percent of SR21, PR21, PR42 and PRFS than other milking practices. In general, in each milking system, SC and NIC were decreased from parity 1 to 3 or 4 and then after it was increased, but SR21, SR42, PR21, PR42 and PRFS had an upward trend from parity 1 to 3, steady in 3rd and 4th parities and had downward trend from 4 to parity 5≥. Supplemental File S3. Hazard ratios (95% CI) for time from start of mating to first service (SMFS), start of mating to conception (SMCO) and first service to conception (FSCO) by parity for different milking regimens of cows milked once daily (OAD), twice daily (TAD), once daily in cow’s mating period (OAD-M), once daily after the peak lactation period (OAD-P) and once daily at end of the lactation (OAD-E) are presented below respectively.