E.R.
Yes it is gradual. I had a 9 month old in my daycare, she is 1 year now. I had to start shortening her morning naps and make her wait until 2 for the afternoon nap. It took about 2 months or so till she was actually sleeping when she was laying down. Now she takes an 1/2 to an hour nap at 10 and a 2 hour nap at 2pm.