Naps are very important for children. The amount of sleep should not be changed for parent/provider convenience. Every child is different and I guess it differs from child to child but depriving of sleep is not great.

Age Nighttime Sleep Daytime Sleep * Total Sleep
1 month 8 1/2 7 (3) 15 1/2
3 months 10 5 (3) 15
6 months 11 3 1/4 (2) 14 1/4
9 months 11 3 (2) 14
12 months 11 1/4 2 1/2 (2) 13 3/4
18 months 11 1/4 2 1/4 (1) 13 1/2
2 years 11 2 (1) 13
3 years 10 1/2 1 1/2 (1) 12
*Note: number of naps in parentheses

Ref

http://www.babycenter.com/0_how-much...d-need_7645.bc