  With a view to connecting random mutation on the molecular level to
punctuated equilibrium behavior on the phenotype level, we propose a new model
for biological evolution, which incorporates random mutation and natural
selection. In this scheme the system evolves continuously into new
configurations, yielding non-stationary behavior of the total fitness. Further,
both the waiting time distribution of species and the avalanche size
distribution display power-law behaviors with exponents close to two, which are
consistent with the fossil data. These features are rather robust, indicating
the key role of entropy.
