  The long-term variability of the sunspot cycle, as recorded by the Wolf
numbers, are imprinted in different kinds of statistical relations which relate
the cycle amplitudes, duration and shapes. This subject always gets a special
attention because it is important for the solar activity forecast. We discuss
statistical properties of the mean-field dynamo model with the fluctuating
\alpha-effect. Also, we estimate dynamical properties of the model for the long
and short time-scale and compare it with the dynamics of the sunspot numbers
data sets.
