I would like to assess the synchrony between two time-series (i.e. do they have the same evolution over time?). I am using Python.
Examples of the time series are in the files attached. The first plot shows time-series that visually do not have similar evolution whereas the second plot shows series that have quite similar evolution (synchrony).
I have considered Dynamic Time Warping to assess the similarity between the time series, but the problem is that we obtain a distance between the time series, which is difficult to interpret. What I would like is rather a standardized number (e.g. between -1 and 1 like a correlation) that would show if the series are synchronous (i.e. they increase or decrease at the same time). This way I could compare the evolution of several time-series more easily even if their global distance (i.e. average value) is different like shown on the first vs. second plot. Is it possible to have such number with Dynamic Time Warping? Or would another method be more appropriate?