Table 1 Definitions and interpretations in the context of activity data, for various recurrence plot quantifiers that are used in this work.
Quantifier | Calculation | Definition | Interpretation |
|---|---|---|---|
DET | Ratio of diagonal structures to total recurrence points. | Level of deterministic activity in the data. | Lower levels indicate more randomness |
LAM | Ratio of vertical structures to total recurrence points. | Level of slowly evolving processes in the time series. | Higher levels indicate more activities that linger |
\(L_{avg}\) | Mean length of diagonal structures | Average duration of recurrent physical activity | Higher levels indicate longer recurrent physical activities |
\(L_{ent}\) | Entropy of diagonal line distribution | Diversity of durations of recurrent physical activity patterns | Higher levels indicate recurrent physical activities of varying durations |
\(V_{avg}\) | Mean length of vertical structures | Average duration of static activity patterns | Higher levels indicate lingering physical activities that last longer |
\(V_{ent}\) | Entropy of vertical line distribution | Diversity of durations of static activity patterns | Higher levels indicate lingering physical activities of varying durations |
\(\frac{LAM}{DET}\) | Ratio of LAM to DET measures | Level of statis as compared to deterministic structure | Changes in this ratio has been shown to be an indicator of change in stability45,46. |