Datasets accompanying Terrestrial climate and vegetation change in the western Tasmanian region from the late Eocene to late Oligocene by Amoo et al. Supplementary table S1: Raw palynomorph assemblage data, total counts, ODP Site 1168 Supplementary table S2: Sporomorph-based climate estimates including MAT, WMMT, CMMT and MAP Supplementary table S3: Sporomorph diversity indices Supplementary S4: Nearest living relatives and botanical affinity