This paper offers an econometric methodology for the detection of self-orga
nisational change (defined in terms of the presence of time irreversibility
, structural change and fundamental uncertainty) in economic precesses that
follow logistic diffusion growth paths in historical time. The approach we
adopted is built upon recent developments in 'moving window' spectral meth
ods which are applied to the scaled residuals generated by estimated logist
ic diffusion models. We illustrate the use of such methods by examining the
case of a financial instrument, namely, the Australian Building Society De
posit, which experienced logistic growth in its market share until bank der
egulation was enacted in the 1980s. We show that there is clear evidence th
at self-organisational change is present over the historical period conside
red.