Prediction of the Earth Orientation Parameters

Introduction to the methods

The specifications of the methods that are currently operational are mentioned in the following table.

EAM is equivalent to the component-wise summation of AAM, HAM, OAM, and SLAM (i.e., EAM = AAM + HAM + OAM + SLAM).

Acknowledgements
The data sources used in the current framework are taken from different datacenters. These are as follows.

IERS EOP series can be accessed here.

SYRTE EOP and EAM series can be accessed here.

JPL EOP series can be accessed here.

GFZ EAM series can be accessed here.

Methods description

Method Input EOP Input EAM Algorithm Forecasting horizon (days) Comments
lod-edlstm-10d-iers-gfz IERS length of day GFZ AAM χ3 Encoder-decoder long short-term memory 10
lod-edlstm-10d-syrte-gfz SYRTE length of day GFZ AAM χ3 Encoder-decoder long short-term memory 10
lod-edlstm full eam-10d-iers-gfz IERS length of day GFZ EAM χ3 Encoder-decoder long short-term memory 10
lod-edlstm full eam-10d-syrte-gfz SYRTE length of day GFZ EAM χ3 Encoder-decoder long short-term memory 10
lod-larf-10d-iers-gfz IERS length of day GFZ AAM χ3 Stacking of long short-term memory layers augmented with residual learning and fast attention 10 For further information please read our publication "Small Geodetic Datasets and Deep Networks: Attention-Based Residual LSTM Autoencoder Stacking for Geodetic Time Series", found here
lod-larf-10d-syrte-gfz SYRTE length of day GFZ AAM χ3 Stacking of long short-term memory layers augmented with residual learning and fast attention 10
lod-lstm-10d-iers-gfz IERS length of day GFZ AAM χ3 Long short-term memory 10
lod-lstm-10d-syrte-gfz SYRTE length of day GFZ AAM χ3 Long short-term memory 10
lod-quantum lstm-iers-gfz IERS length of day GFZ AAM χ3 Quantum long short-term memory 10 For further information please refer to our publication
lod-quantum lstm-10d-syrte-gfz SYRTE length of day GFZ AAM χ3 Quantum long short-term memory 10
lod-recursive ode-10d-iers-gfz IERS length of day GFZ AAM χ3 First order neural ODEs 10
lod-recursive ode-10d-syrte-gfz SYRTE length of day GFZ AAM χ3 First order neural ODEs 10
lod-recursive ode full eam-10d-iers-gfz IERS length of day GFZ EAM χ3 First order neural ODEs 10
lod-recursive ode full eam-10d-syrte-gfz SYRTE length of day GFZ EAM χ3 First order neural ODEs 10
lod-recursive ode full eam-30d-iers-gfz IERS length of day GFZ EAM χ3 First order neural ODEs 30
lod-recursive ode full eam-30d-syrte-gfz SYRTE length of day GFZ EAM χ3 First order neural ODEs 30
lod-rem-10d-iers-gfz IERS length of day GFZ AAM χ3 Revised Multilayer Perceptrons augmented with residual learning 10
lod-rem-10d-syrte-gfz SYRTE length of day GFZ AAM χ3 Revised Multilayer Perceptrons augmented with residual learning 10
lod-rem-30d-iers-gfz IERS length of day GFZ AAM χ3 Revised Multilayer Perceptrons augmented with residual learning 30
lod-rem-30d-syrte-gfz SYRTE length of day GFZ AAM χ3 Revised Multilayer Perceptrons augmented with residual learning 30
lod-rem full eam-30d-iers-gfz IERS length of day GFZ EAM χ3 Revised Multilayer Perceptrons augmented with residual learning 30
lod-rem full eam-30d-syrte-gfz SYRTE length of day GFZ EAM χ3 Revised Multilayer Perceptrons augmented with residual learning 30
lod-trend only-10d-iers-gfz IERS length of day - Extrapolation of length of day's secular trend 10 Residual part of length of day is not predicted
lod-trend only-10d-syrte-gfz SYRTE length of day - Extrapolation of length of day's secular trend 10 Residual part of length of day is not predicted
dut1-model residuals full eam-30d-iers-gfz IERS dUT1 GFZ EAM χ3 First order neural ODEs + Longth short term memory for modelling residuals 30
dut1-model residuals full eam-30d-syrte-gfz SYRTE dUT1 GFZ EAM χ3 First order neural ODEs + Longth short term memory for modelling residuals 30
dut1-recursive ode-10d-iers-gfz IERS dUT1 GFZ AAM χ3 First order neural ODEs 10
dut1-recursive ode-10d-iers-none IERS dUT1 - First order neural ODEs 10
dut1-recursive ode-10d-syrte-gfz SYRTE dUT1 GFZ AAM χ3 First order neural ODEs 10
dut1-recursive ode-10d-syrte-none SYRTE dUT1 - First order neural ODEs 10
dut1-recursive ode-30d-iers-gfz IERS dUT1 GFZ AAM χ3 First order neural ODEs 30
dut1-recursive ode-30d-iers-none IERS dUT1 - First order neural ODEs 30
dut1-recursive ode-30d-syrte-gfz SYRTE dUT1 GFZ AAM χ3 First order neural ODEs 30
dut1-recursive ode-30d-syrte-none SYRTE dUT1 - First order neural ODEs 30
dut1-recursive ode assimilated full eam-10d-iers-gfz IERS dUT1 GFZ EAM χ3 First order neural ODEs + assimilation of IERS predictions to the model 10
dut1-recursive ode assimilated full eam-10d-syrte-gfz SYRTE dUT1 GFZ EAM χ3 First order neural ODEs + assimilation of SYRTE prediction to the model 10
dut1-recursive ode assimilated full eam-30d-iers-gfz IERS dUT1 GFZ EAM χ3 First order neural ODEs + assimilation of IERS predictions to the model 30
dut1-recursive ode assimilated full eam-30d-syrte-gfz SYRTE dUT1 GFZ EAM χ3 First order neural ODEs + assimilation of SYRTE prediction to the model 30
dut1-recursive ode full eam-10d-iers-gfz IERS dUT1 GFZ EAM χ3 First order neural ODEs 10
dut1-recursive ode full eam-10d-syrte-gfz SYRTE dUT1 GFZ EAM χ3 First order neural ODEs 10
dut1-recursive ode full eam-30d-iers-gfz IERS dUT1 GFZ EAM χ3 First order neural ODEs 30
dut1-recursive ode full eam-30d-syrte-gfz SYRTE dUT1 GFZ EAM χ3 First order neural ODEs 30
pm-model residuals full eam-30d-iers-gfz IERS polar motion GFZ EAM χ1 and χ2 First order neural ODEs + Longth short term memory for modelling residuals 30 Both polar motion components are inserted to one model, but are predicted separately
pm-model residuals full eam-30d-jpl-gfz JPL polar motion GFZ EAM χ1 and χ2 First order neural ODEs + Longth short term memory for modelling residuals 30 Both polar motion components are inserted to one model, but are predicted separately
pm-model residuals full eam-30d-syrte-gfz SYRTE polar motion GFZ EAM χ1 and χ2 First order neural ODEs + Longth short term memory for modelling residuals 30 Both polar motion components are inserted to one model, but are predicted separately
pm-pcnn assimilated full eam-30d-iers-gfz IERS polar motion GFZ EAM χ1 and χ2 Physically constrained neural networks + assimilation of IERS predictions to the model 30 Both polar motion components are inserted to one model and are predicted simultaneously
pm-pcnn assimilated full eam-30d-jpl-gfz JPL polar motion GFZ EAM χ1 and χ2 Physically constrained neural networks + assimilation of JPL predictions to the model 30 Both polar motion components are inserted to one model and are predicted simultaneously
pm-pcnn assimilated full eam-30d-syrte-gfz SYRTE polar motion GFZ EAM χ1 and χ2 Physically constrained neural networks + assimilation of SYRTE predictions to the model 30 Both polar motion components are inserted to one model and are predicted simultaneously
pm-recursive ode-10d-iers-gfz IERS polar motion GFZ AAM χ1 and χ2 First order neural ODEs 10 Both polar motion components are inserted to one model, but are predicted separately
pm-recursive ode-10d-iers-none IERS polar motion - First order neural ODEs 10 Both polar motion components are inserted to one model, but are predicted separately
pm-recursive ode-10d-jpl-gfz JPL polar motion GFZ AAM χ1 and χ2 First order neural ODEs 10 Both polar motion components are inserted to one model
pm-recursive ode-10d-jpl-none JPL polar motion - First order neural ODEs 10 Both polar motion components are inserted to one model, but are predicted separately
pm-recursive ode-10d-syrte-gfz SYRTE polar motion GFZ AAM χ1 and χ2 First order neural ODEs 10 Both polar motion components are inserted to one model, but are predicted separately
pm-recursive ode-10d-syrte-none SYRTE polar motion - First order neural ODEs 10 Both polar motion components are inserted to one model, but are predicted separately
pm-recursive ode-30d-iers-gfz IERS polar motion GFZ AAM χ1 and χ2 First order neural ODEs 30 Both polar motion components are inserted to one model, but are predicted separately
pm-recursive ode-30d-iers-none IERS polar motion - First order neural ODEs 30 Both polar motion components are inserted to one model, but are predicted separately
pm-recursive ode-30d-jpl-gfz JPL polar motion GFZ AAM χ1 and χ2 First order neural ODEs 30 Both polar motion components are inserted to one model, but are predicted separately
pm-recursive ode-30d-jpl-none JPL polar motion - First order neural ODEs 30 Both polar motion components are inserted to one model, but are predicted separately
pm-recursive ode-30d-syrte-gfz SYRTE polar motion GFZ AAM χ1 and χ2 First order neural ODEs 30 Both polar motion components are inserted to one model, but are predicted separately
pm-recursive ode-30d-syrte-none SYRTE polar motion - First order neural ODEs 30 Both polar motion components are inserted to one model, but are predicted separately
pm-recursive ode assimilated full eam-10d-iers-gfz IERS polar motion GFZ EAM χ1 and χ2 First order neural ODEs + assimilation of IERS predictions to the model 10 Both polar motion components are inserted to one model, but are predicted separately
pm-recursive ode assimilated full eam-10d-jpl-gfz JPL polar motion GFZ EAM χ1 and χ2 First order neural ODEs + assimilation of JPL predictions to the model 10 Both polar motion components are inserted to one model, but are predicted separately
pm-recursive ode assimilated full eam-10d-syrte-gfz SYRTE polar motion GFZ EAM χ1 and χ2 First order neural ODEs + assimilation of SYRTE predictions to the model 10 Both polar motion components are inserted to one model, but are predicted separately
pm-recursive ode assimilated full eam-30d-iers-gfz IERS polar motion GFZ EAM χ1 and χ2 First order neural ODEs + assimilation of IERS predictions to the model 30 Both polar motion components are inserted to one model, but are predicted separately
pm-recursive ode assimilated full eam-30d-jpl-gfz JPL polar motion GFZ EAM χ1 and χ2 First order neural ODEs + assimilation of JPL predictions to the model 30 Both polar motion components are inserted to one model, but are predicted separately
pm-recursive ode assimilated full eam-30d-syrte-gfz SYRTE polar motion GFZ EAM χ1 and χ2 First order neural ODEs + assimilation of SYRTE predictions to the model 30 Both polar motion components are inserted to one model, but are predicted separately
pm-recursive ode full eam-10d-iers-gfz IERS polar motion GFZ EAM χ1 and χ2 First order neural ODEs 10 Both polar motion components are inserted to one model, but are predicted separately
pm-recursive ode full eam-10d-jpl-gfz JPL polar motion GFZ EAM χ1 and χ2 First order neural ODEs 10 Both polar motion components are inserted to one model, but are predicted separately
pm-recursive ode full eam-10d-syrte-gfz SYRTE polar motion GFZ EAM χ1 and χ2 First order neural ODEs 10 Both polar motion components are inserted to one model, but are predicted separately
pm-recursive ode full eam-30d-iers-gfz IERS polar motion GFZ EAM χ1 and χ2 First order neural ODEs 30 Both polar motion components are inserted to one model, but are predicted separately
pm-recursive ode full eam-30d-jpl-gfz JPL polar motion GFZ EAM χ1 and χ2 First order neural ODEs 30 Both polar motion components are inserted to one model, but are predicted separately
pm-recursive ode full eam-30d-syrte-gfz SYRTE polar motion GFZ EAM χ1 and χ2 First order neural ODEs 30 Both polar motion components are inserted to one model, but are predicted separately
cpo-recursive ode-10d-iers-gfz IERS celestial pole offsets GFZ AAM χ1, χ2, and χ3 First order neural ODEs 10 Both celestial pole offsets components are inserted to one model, but are predicted separately
cpo-recursive ode-10d-iers-none IERS celestial pole offsets - First order neural ODEs 10 Both celestial pole offsets components are inserted to one model, but are predicted separately
cpo-recursive ode-jpl-gfz JPL celestial pole offsets GFZ AAM χ1, χ2, and χ3 First order neural ODEs 10 Both celestial pole offsets components are inserted to one model, but are predicted separately
cpo-recursive ode-10d-jpl-none JPL celestial pole offsets - First order neural ODEs 10 Both celestial pole offsets components are inserted to one model, but are predicted separately
cpo-recursive ode-10d-syrte-gfz SYRTE celestial pole offsets GFZ AAM χ1, χ2, and χ3 First order neural ODEs 10 Both celestial pole offsets components are inserted to one model, but are predicted separately
cpo-recursive ode-10d-syrte-none SYRTE celestial pole offsets - First order neural ODEs 10 Both celestial pole offsets components are inserted to one model, but are predicted separately
cpo-recursive ode-30d-iers-gfz IERS celestial pole offsets GFZ AAM χ1, χ2, and χ3 First order neural ODEs 30 Both celestial pole offsets components are inserted to one model, but are predicted separately
cpo-recursive ode-30d-iers-none IERS celestial pole offsets - First order neural ODEs 30 Both celestial pole offsets components are inserted to one model, but are predicted separately
cpo-recursive ode-30d-jpl-gfz JPL celestial pole offsets GFZ AAM χ1, χ2, and χ3 First order neural ODEs 30 Both celestial pole offsets components are inserted to one model, but are predicted separately
cpo-recursive ode-30d-jpl-none JPL celestial pole offsets - First order neural ODEs 30 Both celestial pole offsets components are inserted to one model, but are predicted separately
cpo-recursive ode-30d-syrte-gfz SYRTE celestial pole offsets GFZ AAM χ1, χ2, and χ3 First order neural ODEs 30 Both celestial pole offsets components are inserted to one model, but are predicted separately
cpo-recursive ode-30d-syrte-none SYRTE celestial pole offsets - First order neural ODEs 30 Both celestial pole offsets components are inserted to one model, but are predicted separately
cpo-recursive ode full eam-10d-iers-gfz IERS celestial pole offsets GFZ EAM χ1, χ2, and χ3 First order neural ODEs 10 Both celestial pole offsets components are inserted to one model, but are predicted separately
cpo-recursive ode full eam-10d-jpl-gfz JPL celestial pole offsets GFZ EAM χ1, χ2, and χ3 First order neural ODEs 10 Both celestial pole offsets components are inserted to one model, but are predicted separately
cpo-recursive ode full eam-10d-syrte-gfz SYRTE celestial pole offsets GFZ EAM χ1, χ2, and χ3 First order neural ODEs 10 Both celestial pole offsets components are inserted to one model, but are predicted separately
cpo-recursive ode full eam-30d-iers-gfz IERS celestial pole offsets GFZ EAM χ1, χ2, and χ3 First order neural ODEs 30 Both celestial pole offsets components are inserted to one model, but are predicted separately
cpo-recursive ode full eam-30d-jpl-gfz JPL celestial pole offsets GFZ EAM χ1, χ2, and χ3 First order neural ODEs 30 Both celestial pole offsets components are inserted to one model, but are predicted separately
cpo-recursive ode full eam-30d-syrte-gfz SYRTE celestial pole offsets GFZ EAM χ1, χ2, and χ3 First order neural ODEs 30 Both celestial pole offsets components are inserted to one model, but are predicted separately
eop-efonode-367d-iers-gfz IERS all EOPs GFZ EAM χ1, χ2, and χ3 Expressive first order neural ODEs 367 Simultaneous learning of deterministic and stochastic signals
eop-efonode-367d-syrte-gfz SYRTE all EOPs GFZ EAM χ1, χ2, and χ3 Expressive first order neural ODEs 367 Simultaneous learning of deterministic and stochastic signals
reference-iers-none IERS all EOPs except for length of day - 10 Used as reference for comparison purposes
reference-syrte-none SYRTE full set of EOPs - 10 Used as reference for comparison purposes