Are rolling takeoffs now more common than powering up while holding on the brakes?
Whether to use a static or a rolling takeoff is usually at the discretion of the captain as long as performance is not an issue and ATC doesn't need you to wait on the runway.

Reasons to do a static takeoff include:


Less runway is required
Better obstacle clearance (mainly because of the earlier liftoff)
Takeoff engine power can be confirmed prior to brake release
ATC may require an aircraft to wait on the runway due to wake turbulence separation requirements
The aircraft manufacturer may not allow a rolling takeoff


Reasons to do a rolling takeoff:


There is sufficient runway available
Obstacles are not an issue
Takeoff engine power can be set relatively quickly and an abort can still be made at a low speed
They take less time to perform, and at busy airports this can mean getting another airplane or two out/in per hour
They offer more passenger comfort because of the smoother acceleration




Not all airplanes provide performance information for rolling take offs. In this case, a commonly used technique is to ensure that takeoff power is set by a certain point on the runway and adding that distance to your calculated takeoff roll for planning purposes.