“…Thus, a better understanding of these tipping mechanisms becomes essential through, for example, the study of the evolution of the Earth climate in the past (Wunderling et al, 2023). Signatures of global climatic transitions are indeed found in paleoclimate proxy records for several periods of Earth's history (Messori and Faranda, 2021;Boers et al, 2022), as during the Snowball Earth episodes in the Neoproterozoic era (Hoffman et al, 1998;Pierrehumbert, 2005;Hoffman et al, 2017;Eberhard et al, 2023), the Eocene-Oligocene transition (Hutchinson et al, 2021), the glacial-interglacial cycles (Ferreira et al, 2018;Riechers et al, 2022), the whole Cenozoic, from 66 Ma to present (Westerhold et al, 2020;Rousseau et al, 2023), or the climatic oscillations observed at the Smithian-Spathian boundary in the Early Triassic (Widmann et al, 2020), just after the Permian-Triassic mass extinction (∼ 252 Ma), the most severe of the Phanerozoic (Raup, 1979;MacLeod, 2014;Stanley, 2016). However, our knowledge of deep-time climates is subject to large uncertainties and their numerical modelling needs to consider, in general, a wide range of initial and boundary conditions.…”