  Through time series analysis, this paper empirically explores, confirms and
extends the trademark/patent inter-relationship as proposed in the normative
intellectual-property (IP)-oriented Innovation Agenda view of the science and
technology (S&T) firm. Beyond simple correlation, it is shown that
trademark-filing (Trademarks) and patent-application counts (Patents) have
similar (if not, identical) structural attributes (including similar
distribution characteristics and seasonal variation, cross-wavelet
synchronicity/coherency (short-term cross-periodicity) and structural breaks)
and are cointegrated (integration order of 1) over a period of approximately 40
years (given the monthly observations). The existence of cointegration strongly
suggests a "long-run" equilibrium between the two indices; that is, there is
(are) exogenous force(s) restraining the two indices from diverging from one
another. Structural breakpoints in the chrono-dynamics of the indices supports
the existence of potentially similar exogeneous forces(s), as the break dates
are simultaneous/near-simultaneous (Trademarks: 1987, 1993, 1999, 2005, 2011;
Patents: 1988, 1994, 2000, and 2011). A discussion of potential triggers
(affecting both time series) causing these breaks, and the concept of
equilibrium in the context of these proxy measures are presented. The
cointegration order and structural co-movements resemble other macro-economic
variables, stoking the opportunity of using econometrics approaches to further
analyze these data. As a corollary, this work further supports the inclusion of
trademark analysis in innovation studies. Lastly, the data and corresponding
analysis tools (R program) are presented as Supplementary Materials for
reproducibility and convenience to conduct future work for interested readers.
