The Probability of Permanence
Robert Happel and Peter F. Stadler
suggest that cooperation is a very rare phenomenon in autocatalytic
networks with more than some 5 interacting species. There is strong
evidence that the probability for a cooperative behaviour in random
networks decreases at least exponentially and at most as
an2 with the number n of
The evolution of larger persistent networks
by subsequent incorporation of additional species into a cooperative
network is shown to be even less probable. This leads to the
conclusion that hypercycle-type interactions alone are not sufficient
to maintain the genetic information of more than a few interacting
species in a pure RNA world.
Return to 1992 working papers list.