In order to describe the productivity of pure even-aged stands of comm
on beech, a system of three differential equations is proposed for dom
inant height, basal area and total volume growth. The model was derive
d and fitted to 317 observation periods in 29 long-term experimental p
lots ranging from northwest to northeast France. It involves parameter
s at the forest and stand levels. Site index is the asymptote of the h
eight-age curve. Model structure is such that, for any given height, s
ome differences in total volume yield exist between stands of differen
t productivities. This result is in contradiction with Eichhorn's rule
. However, in our model, no parameter other than site index is necessa
ry to characterize stand productivity. The possibility to generalize t
he model to a larger range of ecological conditions is discussed by a
process-based interpretation. The site dependence of the parameters ca
n be understood by reference to carbon-balance models. A linear relati
onship between basal area and height-growth rates is investigated by a
separate model of sapwood geometry and dynamics.