Table 1

Comparison of a number of a priori models attempting to explain cetacean paleodiversity based on the PaleoDB diversity data as sampled per bin. δ18O, oxygen isotope records used as proxy for climate change (8); diatom, diatom species diversity (Neptune database) (7); nanno, nannoplankton species diversity (Neptune database) (7); rock, total number of fossiliferous marine formations as downloaded from the PaleoDB (4). All models also included geologic stage duration as a nonoptional predictor to account for the potentially biasing effect of unequal Cenozoic stage durations. The R2 shown is the generalized R2 proposed by (26) and (27). The preferred models are shown in bold.

ModelR2PAICcΔAICwiModelR2PAICcΔAICwi
Neoceti sampled-in-binNeoceti ranged-through
Rock0.050.75353.3712.37<0.01Rock0.070.68151.0614.13<0.01
Diatom0.280.16950.389.38<0.01Diatom0.500.05746.309.38<0.01
Nanno0.070.68653.1812.18<0.01Nanno0.330.21449.3512.43<0.01
Diatom, nanno0.350.19156.5115.51<0.01Diatom, nanno0.500.10453.4716.54<0.01
Rock, diatom0.360.17956.3615.36<0.01Rock, diatom0.580.02449.6912.76<0.01
Rock, δ18O0.090.80160.2719.27<0.01Rock, δ18O0.070.85758.3921.47<0.01
Diatom, δ18O0.84<0.00141.000.000.98Diatom, δ18O0.87<0.00136.930.000.89
Rock, diatom, δ18O0.84<0.00151.9810.98<0.01Rock, diatom, δ18O0.93<0.00141.434.500.09
Mysticeti sampled-in-binOdontoceti sampled-in-bin
Rock0.010.97143.0032.18<0.01Rock0.060.70050.7611.34<0.01
Diatom0.670.01735.0024.18<0.01Diatom0.260.19348.188.760.01
Nanno0.110.51641.7430.91<0.01Nanno0.060.70450.7711.35<0.01
Diatom, nanno0.760.00838.7627.94<0.01Diatom, nanno0.390.14153.3413.92<0.01
Rock, diatom0.840.00134.1323.31<0.01Rock, diatom0.340.21054.2914.86<0.01
Rock, δ18O0.030.94550.0239.20<0.01Rock, δ18O0.090.78757.7518.32<0.01
Diatom, δ18O0.98<0.00110.820.000.99Diatom, δ18O0.86<0.00139.420.000.98
Rock, diatom, δ18O0.98<0.00121.3810.56<0.01Rock, diatom, δ18O0.86<0.00150.4110.99<0.01