Frequencies of magnetic patch processes on supergranule boundary , namely flux emergence , splitting , merging , and cancellation , are investigated through an automatic detection .
We use a set of line of sight magnetograms taken by the Solar Optical Telescope ( SOT ) on board Hinode satellite .
We found 1636 positive patches and 1637 negative patches in the data set , whose time duration is 3.5 hours and field of view is 112 " \times 112 " .
Total numbers of magnetic processes are followed : 493 positive and 482 negative splittings , 536 positive and 535 negative mergings , 86 cancellations , and 3 emergences .
Total numbers of emergence and cancellation are significantly smaller than those of splitting and merging .
Further , frequency dependences of merging and splitting processes on flux content are investigated .
Merging has a weak dependence on flux content only with a power-law index of 0.28 .
Timescale for splitting is found to be independent of parent flux content before splitting , which corresponds to \thicksim 33 minutes .
It is also found that patches split into any flux contents with a same probability .
This splitting has a power-law distribution of flux content with an index of -2 as a time independent solution .
These results support that the frequency distribution of flux content in the analyzed flux range is rapidly maintained by merging and splitting , namely surface processes .
We suggest a model for frequency distributions of cancellation and emergence based on this idea .