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Fig. S4. Bispectra assessing phase coupling and energy transfers between frequencies in the δ 18 O data. Bispectral results over three 2-My-long intervals that correspond to (A) ∼2.4-My Eccentricity Cycle 9 (21.10 My to 19.10 My ago, (B) Cycle 10 (23.54 My to 21.54 My ago), and (C) Cycle 12 (28.30 My to 26.30 My ago; see SI Methods). Gray lines reflect the main astronomical frequencies of eccentricity, obliquity, and precession. The two panels of Fig. 2 are reproduced here (B and C) and expanded to include the interactions with the precession frequencies. 

Fig. S4. Bispectra assessing phase coupling and energy transfers between frequencies in the δ 18 O data. Bispectral results over three 2-My-long intervals that correspond to (A) ∼2.4-My Eccentricity Cycle 9 (21.10 My to 19.10 My ago, (B) Cycle 10 (23.54 My to 21.54 My ago), and (C) Cycle 12 (28.30 My to 26.30 My ago; see SI Methods). Gray lines reflect the main astronomical frequencies of eccentricity, obliquity, and precession. The two panels of Fig. 2 are reproduced here (B and C) and expanded to include the interactions with the precession frequencies. 

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Significance The Antarctic ice cap waxed and waned on astronomical time scales throughout the Oligo-Miocene time interval. We quantify geometries of Antarctic ice age cycles, as expressed in a new climate record from the South Atlantic Ocean, to track changing dynamics of the unipolar icehouse climate state. We document numerous ∼110-thousand-year-...

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... This agrees with occurrence of low temperatures during eccentricity minima and obliquity minima (when glacial periods are expected to occur). Asymmetric, sawtooth-shaped cycles are typical for glacial cycles of the Late Pleistocene (Lisiecki & Raymo, 2007) and are also found in the Early Miocene, linked to prolonged ice sheet growth on Antarctica and subsequent rapid retreat (Liebrand et al., 2017). The approximately symmetrical cycles during the MCO indicate a more direct response to astronomical forcing, which is in line with a smaller Antarctic ice sheet that was restricted to the inner continent (Colleoni et al., 2018). ...
... Benthic δ 18 O records indicate that the high-latitude climate was paced by obliquity and eccentricity during the Early Miocene (Billups et al., 2004;Liebrand et al., 2016Liebrand et al., , 2017Pälike et al., 2006) and mainly by ∼100 kyr eccentricity during the Middle to Late Miocene, with a switch to dominant obliquity pacing during 2.4 Myr eccentricity minima around 14.4, 9.5, and 7.5 Ma (Holbourn et al., 2007(Holbourn et al., , 2018. Although direct comparison is difficult, this seems to agree with patterns reflected in the Lower to Middle Miocene proxy records of Site 959 ( Figure S14 in Supporting Information S1). ...
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... These changes could explain the differences between low and high latitude assemblages. The geotectonic events such as changes in inter-ocean gateways (Osborne et al., 2014;Sijp et al., 2014;O'Dea et al., 2016;Brierley and Fedorov, 2016), the growth of high latitude continental scale ice sheets (De Schepper et al., 2015;Stein et al., 2016;Liebrand et al., 2017), and the development of major mountain belts (Ruddiman, 2013;Spicer et al., 2003;Graham, 2009;Fauquette et al., 2015). All these events combined to influenced and altered the paleogeographical pattern, the water circulation, and the chemical composition of the different regions. ...
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... As such, the significant eccentricity in our records may be more likely be related to eccentricity modulation of low-latitude summer insolation through nonlinear interactions with the global carbon cycle (e.g., Palike et al., 2006;Ao et al., 2021b). Such a low-latitude origin for eccentricity has been proposed previously as a cause of eccentricity in global climate records, including those based on Cenozoic benthic foraminiferal δ 18 O records (e.g., Liebrand et al., 2017;Liebrand and de Bakker, 2019). ...
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... Magnetic proxies with the same rhythmic variation as the lithology and color confirm the presence of changing redox conditions in terms of magnetic minerals. The significant loss of hematite in green layers (32,35,47). (E) La2010d-Ecc3L eccentricity solution (45). ...
... Antarctic ice volume reconstruction suggests that these phases correspond well in time to intervals of ice sheet expansion (Fig. 5B). Ice volume pnas.org was paced by eccentricity (35,47). Therefore, weak monsoon precipitation at the six phases on the 405-kyr timescale could be directly caused by a response to the long eccentricity-modulated precession of Earth's spin axis, or by Antarctic ice sheet expansion through interactions with the global carbon cycle (28,35,72). ...
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Magnolia hypoleuca Sieb. & Zucc, a member of the Magnoliaceae of magnoliids, is one of the most economically valuable, phylogenetic and ornamental tree species in Eastern China. Here, the 1.64 Gb chromosome-level assembly covers 96.64% of the genome which is anchored to 19 chromosomes, with a contig N50 value of 1.71 Mb and 33,873 protein-coding genes was predicted. Phylogenetic analyses between M. hypoleuca and other 10 representative angiosperms suggested that magnoliids were placed as a sister group to the eudicots, rather than sister to monocots or both monocots and eudicots. In addition, the relative timing of the whole-genome duplication (WGD) events about 115.32 Mya for magnoliid plants. M. hypoleuca was found to have a common ancestor with M. officinalis approximately 23.4 MYA, and the climate change of OMT (Oligocene-Miocene transition) is the main reason for the divergence of M. hypoleuca and M. officinalis, which was along with the division of Japanese islands. Moreover, the TPS gene expansion observed in M. hypoleuca might contribute to the enhancement of flower fragrance. Tandem and proximal duplicates of younger age that have been preserved have experienced more rapid sequence divergence and a more clustered distribution on chromosomes contributing to fragrance accumulation, especially phenylpropanoid, monoterpenes and sesquiterpenes and cold tolerance. The stronger selective pressure drived the evolution of tandem and proximal duplicates toward plant self-defense and adaptation. The reference M. hypoleuca genome will provide insights into the evolutionary process of M. hypoleuca and the relationships between the magnoliids with monocots and eudicots, and enable us to delve into the fragrance and cold tolerance produced by M. hypoleuca and provide more robust and deep insight of how the Magnoliales evolved and diversified.