Calculations for mean field dynamo models (in both full spheres and sp
herical shells), with both algebraic and dynamic alpha-quenchings, sho
w qualitative as well as quantitative differences and similarities in
the dynamical behaviour of these models. We summarise and enhance rece
nt results with extra examples. Overall, the effect of using a dynamic
a appears to be complicated and is affected by the region of paramete
r space examined.