  We study the information transfer model for biological evolution with several
kinds of fitness function. The system is stimulated to volve into a stationary
state, depending on the fitness function and on the dimension of the lattice
formed by the species. In particular the system yields time series of the
mutation rate which exhibits the $1/f$ spectrum, thus explains the power-law
behavior in fossil data. Effects of shortcuts introduced on the lattice are
also examined and the evolution activity is usually found to increase in a
well-growing system although the reduction of the overall activity may also be
observed in the presence of shortcuts, depending on the initial configuration.
