Pattern dynamics of a three-trophic population model was numerically investigated in a two-dimensional space. By measuring the spatial correlation function of the domain patterns, whose density was higher than 90% of the maximum density in the whole area, we found that the characteristic length...

It is shown phenomenologically that the fractional derivative $\xi=D^\alpha u$ of order $\alpha$ of a multifractal function has a power-law tail $\propto |\xi| ^{-p_\star}$ in its cumulative probability, for a suitable range of $\alpha$'s. The exponent is determined by the condition...