We investigate the statistics of a model of type-I X-ray burst (Phys,
Rev, E 51 (1995) 3045) in its super-critical phase. The time evolution
of the burnable clusters, places where fire can pass through, is stud
ied using simple statistical arguments. We offer a simple picture for
the time evolution of the percentage of space covered by burnable clus
ters. A relation between the time-average and the peak percentage of s
pace covered by burnable clusters is also derived.