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A Feasibility Study of Three-Dimensional Empirical Orthogonal Functions From the NASA JPL Ocean General Circulation Model: Computing, Visualization and Interpretation Cover

A Feasibility Study of Three-Dimensional Empirical Orthogonal Functions From the NASA JPL Ocean General Circulation Model: Computing, Visualization and Interpretation

Open Access
|Jun 2023

Figures & Tables

Figure 1

Ocean water temperature from the NASA JPL OGCM output for January 1950. A movable version of the figure can be found at https://ogcm-3d-visualization.herokuapp.com/ where the figure can be rotated and resized.

Table 1

Depths of 32 layers of the NASA JPL OGCM.

51020305075100
125150200250300400500
600700800900100011001200
1300140015001750200025003000
3500400050005500

[i] Note: All depths are in meters.

Figure 2

Climatology for January and August computed using the equation above from the NASA JPL OGCM data. Movable figures can be viewed at the website https://climatology-3d-vis.herokuapp.com/apps/clim_Jan_plot.

Figure 3

(a) The first eigenvalue λ1 of the temporal covariance matrix for the weighted temperature anomalies for each month from January to December. Units of the first eigenvalue are the same as the covariance matrix in equation 14. (b) The scree plot for January based on data pk and qk. (c) The scree plot for August is based on data pk and qk.

Figure 4

EOF1 for January and August showing the equatorial upwelling. Depths are chosen to show that the strong upwelling occurs at 150 meters and that the upwelling stops at a deeper level around 400 meters.

Figure 5

A north-south cross-section of the ocean taken at 160° E to show at what layers upwelling occurs. Panels (a) and (b) are the entire scope of all ocean layers. Panels (c) and (d) show the top layers up to 400 meters as this will better show where upwelling starts and stops.

Figure 6

NASA JPL OGCM temperature for January and August at 200 meters showing equatorial upwelling. Years are chosen to reflect time with strong upwelling.

Figure 7

Cross-sectional map based on the zonal mean from 0 to 360° longitude degrees to show ocean ventilation at the high latitude regions.

Figure 8

The second eigenvalue λ2 of the temporal covariance matrix for the weighted temperature anomalies. Units of the first eigenvalue are the same as the covariance matrix in equation 14. January has the largest value, while August has the smallest value.

Figure 9

EOF2 for January and August showing the ENSO pattern. Depths are chosen to show the ENSO regions in different depths from surface to 100 meters. The ENSO pattern dies out approximately at levels deeper than 150 meters.

Figure 10

Cross section at latitude of 10°S that shows the separation of the warm and cold anomaly regions in the Pacific.

Figure 11

A zonal cross-sectional map based on the average from latitude 10°N to 10°S. The average and figure are to better show a robust 3D ENSO pattern with not only the surface warm region but also a depth structure.

Figure 12

Principal components PC1, PC2, and PC3 of January and August from the weighted anomalies of the NASA JPL OGCM output from 1950 to 2003.

Figure 13

The first eigenvalue λ1(d) for the each month computed from the de-trended anomalies.

Figure 14

Principal components of January and August based on the de-trended anomalies.

Figure 15

2D EOF1 for the top layer based on the area-weighted anomalies from the NASA JPL OGCM. ENSO signal is shown in this EOF1 for the surface layer. The 2D EOFs are computed layer by layer.

Language: English
Page range: 213 - 230
Submitted on: Nov 21, 2022
Accepted on: May 26, 2023
Published on: Jun 29, 2023
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services

© 2023 Danielle Lafarga, Thomas Bui, Y. Tony Song, Thomas M. Smith, Samuel S. P. Shen, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.