  Using Monte Carlo simulations, we show that for a certain model of biological
evolution, which is driven by non-extremal dynamics, active and absorbing
phases are separated by a critical phase. In this phase both the density of
active sites $\rho(t)$ and the survival probability of spreading $P(t)$ decay
as $t^{-\delta}$, where $\delta \sim 0.5$. At the critical point, which
separates the active and critical phases, $\delta\sim 0.29$, which suggests
that this point belongs to the so-called parity-conserving universality class.
The model has infinitely many absorbing states and, except for a single point,
has no conservation law.
