  A simple analytical relation of form {\alpha} = 2 {\kappa} -1 between the
magnetic energy spectral exponent {\alpha} of the turbulent magnetic field in
the solar photosphere and its magnetic flux cancellation exponent {\kappa},
valid under certain restrictive assumptions, is tested and extended outside its
range of validity in a series of Monte Carlo simulations. In these numerical
tests artificial "magnetograms" are constructed in 1D and 2D by superposing a
discrete set of Fourier modes of the magnetic field distribution with
amplitudes following a power law spectrum and measuring the cancellation
function on these simulated magnetograms. Our results confirm the validity of
the analytical relation and extend it to the domain {\alpha} < -1 where
{\kappa} ---> 0 as {\alpha} ---> - infinity. The observationally derived upper
limit of 0.38 on {\kappa} implies {\alpha} < -0.24 in the granular size range,
apparently at odds with a small scale dynamo driven in the inertial range.
