We analyze a model of biological evolution recently introduced in the liter
ature and show that punctuated equilibrium and power-law behavior arise bec
ause of the differential structural stability of the mapping between genoty
pe and phenotype that characterizes the model. Structural stability is a fe
ature of biological organisms that had been introduced by biologists long a
go, but never modelled until now, as far as we know. This model can be rega
rded as an alternative to those models that explain both the power-law beha
vior and the punctuated equilibrium of extinction curves by recourse to sel
f-organized criticality (SOC). (C) 2000 Elsevier Science B.V. All rights re
served.