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####################################################################
# #
# ------------------------------------------------------------ #
# A COMPARISON OF THE ATLANTIC AND PACIFIC BJERKNES FEEDBACKS: #
# SEASONALITY, SYMMETRY, AND STATIONARITY #
# ------------------------------------------------------------ #
# #
# T. DIPPE, J. F. LÜBBECKE, R. J. GREATBATCH #
# #
# in #
# #
# JOURNAL OF GEOPHYSICAL RESEARCH: OCEANS #
# #
# #
# Readme for using the Matlab scripts #
# #
####################################################################
# --------- #
# TECHNICAL #
# --------- #
Matlab version used for all analysis: Matlab 2018
# ------------- #
# USED DATASETS #
# ------------- #
- AVISO-SSH: https://www.aviso.altimetry.fr/en/home.html
- ERSST: https://www.ncdc.noaa.gov/data-access/marineocean-data/extended-reconstructed-sea-surface-temperature-ersst-v5
- ERA-Interim USTR: https://www.ecmwf.int/en/forecasts/datasets/archive-datasets/reanalysis-datasets/era-interim
- ERA-40 USTR: https://apps.ecmwf.int/datasets/data/era40-moda/
- ORAS4 data: http://icdc.cen.uni-hamburg.de/projekte/easy-init/easy-init-ocean.html
# ------- #
# GENERAL #
# ------- #
# ANALYSIS USING A BUNDLE OF SCRIPTS
# ++++++++++++++++++++++++++++++++++
Many scripts will be made up of a group of three to four scripts. These are:
- <name>.m: The main script that does the principal calculations
- <name>_settings.m: Prescribing all kinds of settings, including paths and
various plotting options
- <name>_plots.m or similar: Plots
- <name>_wrapper.m: A wrapper around the main script that allows looping over,
for example, feedback elements or basins
For a given script <name>, I will refer to the bundle as <name>*.m
# ZONAL ANALYSIS VERSUS INDIVIDUAL INDICES
# ++++++++++++++++++++++++++++++++++++++++
All analyses are based on indices. However, I distinguish between "zonal
analyses" and "individual indices". Datasets for the zonal analyses contain a
matrix that holds time series of indices that correspond to a sliding index
along the equator. The zonal analysis is set up in
zonal_analysis_region_definition.m (for the published paper: 4 deg lon x
4 deg lat boxes that slide along the equator from a fixed western boundary
towards the eastern boundary), an the collection of sliding indices is
calculated with calculate_equatorial_indices*.m. These datasets should be stored
in the <path where data for zonal analysis is stored>.
In contrast, individual indices refer to just a single index. Single indices are
calculated with the function calcIndexAveraged() and should be stored in the
<path were individual indices are stored>.
Additionally, raw SST data might be required, such as ERSST. These datasets
should be stored in the <path where SST data is stored>.
# --------------- #
# LIST OF SCRIPTS #
# --------------- #
# FUNCTIONS
# +++++++++
- bootstrapFeedbackStrength() and bootstrapFeedbackStrengthDiff(): Significance
test for feedback strengths and their differences.
- calcAnomalies(): Calculates the anomalies, and allows for variable detrending
- calcIndexAveraged(): Calculates an index, requires a file that describes the
grids that the variables are given on, including the
spatial extent of each grid cell to apply the correct
spatial averaging. (The grid files are stored in my case
in the file modelGrids.mat, which contains a structure
for each grid, which in turn stores information such as
box_grid_area.)
- calculateFeedback(): Perform a robust regression to estimate the strength of a
given feedback element.
- diagnoseLag(): Diagnose the lag at which the feedback strength between two
variables is maximum.
- eventCharacteristics(): Identifies events in a time series and returns various
statistical measures about them. This function is the
backbone of the SST event analysis in the Discussion.
- testValue(): Given a distribution, a significance level and a test value,
discern whether the test value sits on the "signifi cant" tails of
the distribution.
# (More or less) PROJECT-WIDE SETTINGS
# ++++++++++++++++++++++++++++++++++++
- atlantic_asymmetric_bjf_plot_settings.m contains general settings
for plots that will be called for a number of analysis scripts. Customize the
colorbar handles in this script. However, the script is not used uniformly
across all analysis scripts. Sorry for the inconvenience.
- zonal_analysis_region_definition.m defines the properties of the zonal
analysis, i.e. the total zonal extent of the analysis region, as well as the
width of zonal bins that will be used to calculate the equatorial indices.
# PREPARING THE DATA: Binning data into sliding indices along the equator
# ++++++++++++++++++
- calculate_equatorial_indices*.m: Calculate indices for each zonal bin defined
in zonal_analysis_region_definition.m. These datasets are the basis for most
of the analysis. They should be stored in the <path where data for zonal
analysis is stored>.
Date vectors are expected to be Matlab date vectors (see
https://de.mathworks.com/help/matlab/ref/datevec.html).
# ANALYSIS
# ++++++++
Fig. 1: compare_oras4_ersst*.m
Fig. 2: diagnose_zonal_feedback_lags.*
<Fig. 3: Created in MacOS's Keynote>
Fig. 4-6: lagged_feedback_strength*.m to diagnose the strengths of the feedback
elements, and diagnose_feedback_strength_difference_significance*.m to
test the significance
Fig. 7: total_bjerknes_feedback_from_regression*.m
Fig. 8: compare_aviso_oras4_strengths_Atl3_Nino34*.m
Figs. 9-11: decadal_feedback_variations*.m
Fig. 12: zonal_enso_properties*.m
Fig. 13: decadal_sst_event_variations*.m
Figs. A1-A2: calculate_instantaneous_feedback*.m, and
compare_lagged_instantaneous_feedback_strengths*.m
Figs. A3-A5: total_bjerknes_feedback_from_regression*.m
# ------- #
# CONTACT #
# ------- #
Contact me via tina.dippe@gmail.com if you have questions.
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