Fig. 4
From: Contrasting dynamics of past climate states and critical transitions via dimensional analysis

Time-averaged multi-scale bi-variate statistics during the four climate states identified by3. Temporal averages of the bi-variate multi-scale metrics: (A) instantaneous dimension \(\langle d \rangle\), (B) extremal index \(\theta\), and (C) co-recurrence ratio \(\alpha\). The error bars refers to the inter-quartile range. The vertical dashed-dotted black lines refer to Milankovitch scales of precession (\(\sim 23\) ky), obliquity (\(\sim 41\) ky), and eccentricity (\(\sim 100\) ky), respectively. Colors refer to the different climate states, while the gray shaded bars refer to the full record. We note that \(\theta\) close to 0 (1) means a more (less) stable/persistent state, while \(\alpha\) close to 0 (1) means a less (more) mutual coupling.