The paper takes up a Schumpeterian prototype model by Iwai [J. Econ. Behav.
Org. 5 (1984) 321] on the interplay of technological innovation and diffus
ion and studies its time series characteristics. The analysis begins with t
he deterministic version of the model and its long-run equilibrium notion o
f a wave train. The subsequent simulations of the full version with a stoch
astic arrival of innovations typically yield long oscillations in the growt
h rates of average productivity. These long waves can be viewed as originat
ing with the frequency distribution of techniques on the deterministic wave
train, from which the economy is disturbed and back to which it continuous
ly seeks to adapt, where it is in the very nature of this adjustment proces
s to take several decades. Across a wide range of parameter scenarios, the
average wave lengths are also found to be closely related to the lifetime o
f techniques on the corresponding wave trains. (C) 2001 Elsevier Science B.
V. All rights reserved.