Last updated: 2021-03-23

Checks: 7 0

Knit directory: emlr_mod_v_XXX/

This reproducible R Markdown analysis was created with workflowr (version 1.6.2). The Checks tab describes the reproducibility checks that were applied when the results were created. The Past versions tab lists the development history.

R Markdown file: up-to-date

Great! Since the R Markdown file has been committed to the Git repository, you know the exact version of the code that produced these results.

Environment: empty

Great job! The global environment was empty. Objects defined in the global environment can affect the analysis in your R Markdown file in unknown ways. For reproduciblity it’s best to always run the code in an empty environment.

Seed: set.seed(20200707)

The command set.seed(20200707) was run prior to running the code in the R Markdown file. Setting a seed ensures that any results that rely on randomness, e.g. subsampling or permutations, are reproducible.

Session information: recorded

Great job! Recording the operating system, R version, and package versions is critical for reproducibility.

Cache: none

Nice! There were no cached chunks for this analysis, so you can be confident that you successfully produced the results during this run.

File paths: relative

Great job! Using relative paths to the files within your workflowr project makes it easier to run your code on other machines.

Repository version: 85274db

Great! You are using Git for version control. Tracking code development and connecting the code version to the results is critical for reproducibility.

The results in this page were generated with repository version 85274db. See the Past versions tab to see a history of the changes made to the R Markdown and HTML files.

Note that you need to be careful to ensure that all relevant files for the analysis have been committed to Git prior to generating the results (you can use wflow_publish or wflow_git_commit). workflowr only checks the R Markdown file, but you know if there are other scripts or data files that it depends on. Below is the status of the Git repository when the results were generated:


Ignored files:
    Ignored:    .Rhistory
    Ignored:    .Rproj.user/

Untracked files:
    Untracked:  2_Alt_zon_off.png
    Untracked:  2_Alt_zon_off_rem.png
    Untracked:  specific_correlation_pairs.png

Unstaged changes:
    Modified:   a.png
    Modified:   data/auxillary/params_local.rds

Note that any generated files, e.g. HTML, png, CSS, etc., are not included in this status report because it is ok for generated content to have uncommitted changes.

These are the previous versions of the repository in which changes were made to the R Markdown (analysis/eMLR_assumption_testing.Rmd) and HTML (docs/eMLR_assumption_testing.html) files. If you’ve configured a remote Git repository (see ?wflow_git_remote), click on the hyperlinks in the table below to view the files as they were in that past version.

File	Version	Author	Date	Message
html	bf19764	Donghe-Zhu	2021-03-22	Build site.
html	3ec9d3d	Donghe-Zhu	2021-03-22	Build site.
html	134ace1	Donghe-Zhu	2021-03-22	Build site.
html	f6d70a4	Donghe-Zhu	2021-03-22	Build site.
html	183443b	Donghe-Zhu	2021-03-21	Build site.
html	2e6976b	Donghe-Zhu	2021-03-21	Build site.
html	51a42bd	Donghe-Zhu	2021-03-16	Build site.
html	f745381	Donghe-Zhu	2021-03-16	Build site.
html	aecbf75	Donghe-Zhu	2021-03-14	Build site.
html	1b2a0c2	Donghe-Zhu	2021-03-14	Build site.
html	6733e48	Donghe-Zhu	2021-03-12	Build site.
html	ba71e6a	Donghe-Zhu	2021-03-12	Build site.
html	9dbf5bd	Donghe-Zhu	2021-03-11	Build site.
html	a49df30	Donghe-Zhu	2021-03-11	Build site.
html	b3348a5	Donghe-Zhu	2021-03-11	Build site.
html	1c24ff7	Donghe-Zhu	2021-03-10	Build site.
html	94ce5a8	Donghe-Zhu	2021-03-10	Build site.
html	db33928	Donghe-Zhu	2021-03-10	Build site.
html	3d1f470	Donghe-Zhu	2021-03-10	Build site.
html	9b7bc66	Donghe-Zhu	2021-03-10	Build site.
html	4168b43	Donghe-Zhu	2021-03-10	Build site.
html	5365f80	Donghe-Zhu	2021-03-10	Build site.
html	2b6c392	Donghe-Zhu	2021-03-10	Build site.
html	9f58753	Donghe-Zhu	2021-03-10	Build site.
html	f2a7146	Donghe-Zhu	2021-03-10	Build site.
html	fd528ed	Donghe-Zhu	2021-03-10	Build site.
html	9d5a62c	Donghe-Zhu	2021-03-10	Build site.
html	5d1e70b	Donghe-Zhu	2021-03-10	Build site.
html	2093979	Donghe-Zhu	2021-03-10	Build site.
html	b865899	Donghe-Zhu	2021-03-10	Build site.
html	cc2a956	Donghe-Zhu	2021-03-10	Build site.
html	60689fb	Donghe-Zhu	2021-03-10	Build site.
html	9230b52	Donghe-Zhu	2021-03-10	Build site.
html	dba33c8	Donghe-Zhu	2021-03-09	Build site.
html	17f1c4a	Donghe-Zhu	2021-03-09	Build site.
html	c024d1a	Donghe-Zhu	2021-03-09	Build site.
html	02f7242	Donghe-Zhu	2021-03-09	Build site.
html	6f50bc6	Donghe-Zhu	2021-03-09	Build site.
html	1691156	Donghe-Zhu	2021-03-08	Build site.
html	c0ceaf8	Donghe-Zhu	2021-03-08	Build site.
html	058e0a1	Donghe-Zhu	2021-03-08	Build site.
html	112dea0	Donghe-Zhu	2021-03-08	Build site.
html	1843412	Donghe-Zhu	2021-03-08	Build site.
html	65b0cef	Donghe-Zhu	2021-03-07	Build site.
html	4083a6c	Donghe-Zhu	2021-03-07	Build site.
html	3fbbfa4	Donghe-Zhu	2021-03-07	Build site.
html	627c8fb	Donghe-Zhu	2021-03-07	Build site.
html	3607f4d	Donghe-Zhu	2021-03-07	Build site.
html	9ef3222	Donghe-Zhu	2021-03-05	Build site.
html	8c1e978	Donghe-Zhu	2021-03-05	Build site.
html	865f68c	Donghe-Zhu	2021-03-05	Build site.
html	ee69bc1	Donghe-Zhu	2021-03-05	Build site.
html	a79291f	Donghe-Zhu	2021-03-05	Build site.
html	e8c6f30	Donghe-Zhu	2021-03-04	Build site.
html	59288fe	Donghe-Zhu	2021-03-04	Build site.
html	731abc8	Donghe-Zhu	2021-03-04	Build site.
html	e2a5a33	Donghe-Zhu	2021-03-04	Build site.
html	c7892c1	Donghe-Zhu	2021-03-04	Build site.
html	924430b	Donghe-Zhu	2021-03-03	Build site.
html	0d0bca1	Donghe-Zhu	2021-03-03	Build site.
html	cb63c16	Donghe-Zhu	2021-03-03	Build site.
html	ffda45a	Donghe-Zhu	2021-03-03	Build site.
html	691ba81	Donghe-Zhu	2021-03-03	Build site.
html	c5e45a2	Donghe-Zhu	2021-03-03	Build site.
html	89c3e58	Donghe-Zhu	2021-03-03	Build site.
html	c407a50	Donghe-Zhu	2021-03-03	Build site.
html	c911669	Donghe-Zhu	2021-03-03	Build site.
html	b71c719	Donghe-Zhu	2021-03-01	Build site.
html	13666ca	Donghe-Zhu	2021-03-01	Build site.
html	c6e60fe	Donghe-Zhu	2021-03-01	Build site.
html	7a388f7	Donghe-Zhu	2021-03-01	Build site.
html	799e913	Donghe-Zhu	2021-03-01	Build site.
html	66ff99f	Donghe-Zhu	2021-03-01	Build site.
html	ac9bb7a	Donghe-Zhu	2021-02-28	Build site.
html	efdc047	Donghe-Zhu	2021-02-28	Build site.
html	e9a7418	Donghe-Zhu	2021-02-28	Build site.
html	e152917	Donghe-Zhu	2021-02-28	Build site.
html	feb991c	Donghe-Zhu	2021-02-27	Build site.
html	287123c	Donghe-Zhu	2021-02-27	Build site.
html	54d5b5b	Donghe-Zhu	2021-02-27	Build site.
html	330f064	Donghe-Zhu	2021-02-27	Build site.
html	adbc9bc	Donghe-Zhu	2021-02-27	Build site.
html	5937141	Donghe-Zhu	2021-02-27	Build site.
html	4414bbf	Donghe-Zhu	2021-02-27	Build site.
html	a265efb	Donghe-Zhu	2021-02-27	Build site.
html	19edd1e	Donghe-Zhu	2021-02-27	Build site.
html	f20483f	Donghe-Zhu	2021-02-26	Build site.
html	6a2c7b3	Donghe-Zhu	2021-02-25	Build site.
html	02b976d	Donghe-Zhu	2021-02-24	Build site.
html	354c224	Donghe-Zhu	2021-02-24	Build site.
html	1a0a88a	Donghe-Zhu	2021-02-24	Build site.
html	57f701e	Donghe-Zhu	2021-02-24	Build site.
html	06f3149	Donghe-Zhu	2021-02-16	Build site.
html	401eab3	Donghe-Zhu	2021-02-15	Build site.
html	e3bba84	Donghe-Zhu	2021-02-15	Build site.
html	5dce4b1	Donghe-Zhu	2021-02-15	Build site.
html	4469a0c	Donghe-Zhu	2021-02-13	Build site.
html	5ae6a69	Donghe-Zhu	2021-02-10	Build site.
html	05385dc	Donghe-Zhu	2021-02-10	Build site.
html	f791ae4	Donghe-Zhu	2021-02-09	Build site.
html	f71ae34	Donghe-Zhu	2021-02-09	Build site.
html	c011832	Donghe-Zhu	2021-02-09	Build site.
html	a145fa7	Donghe-Zhu	2021-02-09	Build site.
html	c344e42	Donghe-Zhu	2021-02-08	Build site.
html	2f095d7	Donghe-Zhu	2021-02-07	Build site.
html	2305044	Donghe-Zhu	2021-02-07	Build site.
html	1fad5f1	Donghe-Zhu	2021-02-07	Build site.
html	ca03c39	Donghe-Zhu	2021-02-07	Build site.
html	e2ffc14	Donghe-Zhu	2021-02-05	Build site.
Rmd	55cdfe6	Donghe-Zhu	2021-02-05	local rebuild
html	cd7c52c	Donghe-Zhu	2021-02-04	Build site.
html	bcf84f4	Donghe-Zhu	2021-02-02	Build site.
html	a518739	Donghe-Zhu	2021-02-01	Build site.
html	61666de	Donghe-Zhu	2021-01-31	Build site.
html	865b582	Donghe-Zhu	2021-01-31	Build site.
html	3e68089	Donghe-Zhu	2021-01-31	Build site.
html	ecf335c	Donghe-Zhu	2021-01-31	Build site.
html	a618965	Donghe-Zhu	2021-01-31	Build site.
html	59e006e	Donghe-Zhu	2021-01-31	Build site.
html	a1c8f87	Donghe-Zhu	2021-01-31	Build site.
html	ae5c18f	Donghe-Zhu	2021-01-31	Build site.
html	b50fe52	Donghe-Zhu	2021-01-31	Build site.
html	ac99ae5	jens-daniel-mueller	2021-01-29	code review
html	b5bdcaf	Donghe-Zhu	2021-01-29	Build site.
html	442010d	Donghe-Zhu	2021-01-29	Build site.
html	372adf5	Donghe-Zhu	2021-01-29	Build site.
html	af8788e	Donghe-Zhu	2021-01-29	Build site.
html	21c91c9	Donghe-Zhu	2021-01-29	Build site.
html	eded038	Donghe-Zhu	2021-01-29	Build site.
html	541d4dd	Donghe-Zhu	2021-01-29	Build site.
html	6a75576	Donghe-Zhu	2021-01-28	Build site.
html	16fba40	Donghe-Zhu	2021-01-28	Build site.
html	12bc567	Donghe-Zhu	2021-01-27	Build site.
html	ceed31b	Donghe-Zhu	2021-01-27	Build site.
html	342402d	Donghe-Zhu	2021-01-27	Build site.
html	5bad5c2	Donghe-Zhu	2021-01-27	Build site.
html	61efb56	Donghe-Zhu	2021-01-25	Build site.
html	48f638e	Donghe-Zhu	2021-01-25	Build site.
html	c1cec47	Donghe-Zhu	2021-01-25	Build site.
html	05ffb0c	Donghe-Zhu	2021-01-25	Build site.
html	8b97165	Donghe-Zhu	2021-01-25	Build site.
html	c569946	Donghe-Zhu	2021-01-24	Build site.
html	a2f0d56	Donghe-Zhu	2021-01-23	Build site.
html	28509fc	Donghe-Zhu	2021-01-23	Build site.
html	4c28e4a	Donghe-Zhu	2021-01-22	Build site.
html	24cc264	jens-daniel-mueller	2021-01-22	cleaned /docs before creating copies
html	88eb28f	Donghe-Zhu	2021-01-21	Build site.
html	2679490	Donghe-Zhu	2021-01-21	Build site.
html	7891955	Donghe-Zhu	2021-01-21	Build site.
html	d4cf1cb	Donghe-Zhu	2021-01-21	Build site.
html	1f3e5b6	jens-daniel-mueller	2021-01-20	Build site.
html	0e7bdf1	jens-daniel-mueller	2021-01-15	cleaning template repository
html	73cbef3	jens-daniel-mueller	2021-01-15	Build site.
html	4571843	jens-daniel-mueller	2021-01-14	revision and html deleted for template copying
html	23151cd	jens-daniel-mueller	2021-01-14	Build site.
html	b3564aa	jens-daniel-mueller	2021-01-14	Build site.
html	8d032c3	jens-daniel-mueller	2021-01-14	Build site.
html	022871c	Donghe-Zhu	2021-01-13	Build site.
Rmd	d44f36f	Donghe-Zhu	2021-01-13	reorder analysis final
html	17dee1d	jens-daniel-mueller	2021-01-13	Build site.
html	a076226	Donghe-Zhu	2021-01-11	Build site.
Rmd	52eff18	Donghe-Zhu	2021-01-09	Implemet model_run and subsetting
html	7cdea0c	jens-daniel-mueller	2021-01-06	Build site.
html	fa85b93	jens-daniel-mueller	2021-01-06	Build site.
html	e5cb81a	Donghe-Zhu	2021-01-05	Build site.
html	a499f10	Donghe-Zhu	2021-01-05	Build site.
Rmd	715bdb4	Donghe-Zhu	2021-01-02	model modification
html	fb8a752	Donghe-Zhu	2020-12-23	Build site.
Rmd	82e3c9c	Donghe-Zhu	2020-12-23	first build after creating model template
html	8fae0b2	Donghe-Zhu	2020-12-21	Build site.
html	c8b76b3	jens-daniel-mueller	2020-12-19	Build site.
Rmd	b5fedce	jens-daniel-mueller	2020-12-19	first build after creating model template
Rmd	8e8abf5	Jens Müller	2020-12-18	Initial commit

1 Required data

Required are:

cleaned and prepared GLODAP-based synthetic cmorized model subsetting file

GLODAP <-
  read_csv(paste(path_version_data,
                 "GLODAPv2.2020_MLR_fitting_ready.csv",
                 sep = ""))

2 Predictor correlation

The correlation between:

pairs of seven potential predictor variables and
C* and seven potential predictor variables

were investigated based on:

property-property plots and
calculated correlation coefficients.

2.1 Correlation plots

For an overview, a random subset of data from all eras was plotted separately for both basins, with color indicating neutral density slabs (high density = dark-purple color).

for (i_basin in unique(GLODAP$basin)) {
# i_basin <- unique(GLODAP$basin)[1]

print(
GLODAP %>% 
  filter(basin == i_basin) %>% 
  sample_frac(0.05) %>% 
  ggpairs(columns = c(params_local$MLR_target,
                      params_local$MLR_predictors),
          upper = "blank",
          ggplot2::aes(col = gamma_slab, fill = gamma_slab, alpha = 0.01)) +
      scale_fill_viridis_d(direction = -1) +
      scale_color_viridis_d(direction = -1) +
      labs(title = paste("Basin:", i_basin ,"| era: all | subsample size: 5 % of",
                         nrow(GLODAP %>% filter(basin == i_basin))))
)
}

Version	Author	Date
bf19764	Donghe-Zhu	2021-03-22
3ec9d3d	Donghe-Zhu	2021-03-22
134ace1	Donghe-Zhu	2021-03-22
f6d70a4	Donghe-Zhu	2021-03-22
183443b	Donghe-Zhu	2021-03-21
2e6976b	Donghe-Zhu	2021-03-21
51a42bd	Donghe-Zhu	2021-03-16
f745381	Donghe-Zhu	2021-03-16
aecbf75	Donghe-Zhu	2021-03-14
1b2a0c2	Donghe-Zhu	2021-03-14
6733e48	Donghe-Zhu	2021-03-12
ba71e6a	Donghe-Zhu	2021-03-12
9dbf5bd	Donghe-Zhu	2021-03-11
a49df30	Donghe-Zhu	2021-03-11
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
2b6c392	Donghe-Zhu	2021-03-10
9f58753	Donghe-Zhu	2021-03-10
9d5a62c	Donghe-Zhu	2021-03-10
5d1e70b	Donghe-Zhu	2021-03-10
2093979	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
17f1c4a	Donghe-Zhu	2021-03-09
02f7242	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
ffda45a	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
13666ca	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

Version	Author	Date
bf19764	Donghe-Zhu	2021-03-22
3ec9d3d	Donghe-Zhu	2021-03-22
134ace1	Donghe-Zhu	2021-03-22
f6d70a4	Donghe-Zhu	2021-03-22
183443b	Donghe-Zhu	2021-03-21
2e6976b	Donghe-Zhu	2021-03-21
51a42bd	Donghe-Zhu	2021-03-16
f745381	Donghe-Zhu	2021-03-16
aecbf75	Donghe-Zhu	2021-03-14
1b2a0c2	Donghe-Zhu	2021-03-14
6733e48	Donghe-Zhu	2021-03-12
ba71e6a	Donghe-Zhu	2021-03-12
9dbf5bd	Donghe-Zhu	2021-03-11
a49df30	Donghe-Zhu	2021-03-11
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
9d5a62c	Donghe-Zhu	2021-03-10
5d1e70b	Donghe-Zhu	2021-03-10
2093979	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
17f1c4a	Donghe-Zhu	2021-03-09
02f7242	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
058e0a1	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
13666ca	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

Version	Author	Date
bf19764	Donghe-Zhu	2021-03-22
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
17f1c4a	Donghe-Zhu	2021-03-09
02f7242	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
1fad5f1	Donghe-Zhu	2021-02-07
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

Individual correlation plots for each basin, era and neutral density (gamma) slab are available at:

/nfs/kryo/work/jenmueller/emlr_cant/model/v_XXX/figures/Observations_correlation/

if (params_local$plot_all_figures == "y") {
  
  for (i_basin in unique(GLODAP$basin)) {
    for (i_era in unique(GLODAP$era)) {
      #i_basin <- unique(GLODAP$basin)[1]
      #i_era   <- unique(GLODAP$era)[1]
      
      GLODAP_basin_era <- GLODAP %>%
        filter(basin == i_basin,
               era == i_era)
      
      for (i_gamma_slab in unique(GLODAP_basin_era$gamma_slab)) {
        #i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[14]
        
        GLODAP_basin_era_slab <- GLODAP_basin_era %>%
          filter(gamma_slab == i_gamma_slab)
        
        if (nrow(GLODAP_basin_era_slab) > 2) {
          GLODAP_highlight <- GLODAP_basin_era %>%
            mutate(gamma_highlight = if_else(gamma_slab == i_gamma_slab,
                                             "in", "out")) %>%
            arrange(desc(gamma_highlight))
          
          p <- GLODAP_highlight %>%
            ggpairs(
              columns = c(
                params_local$MLR_target,
                params_local$MLR_predictors
              ),
              ggplot2::aes(
                col = gamma_highlight,
                fill = gamma_highlight,
                alpha = 0.01
              )
            ) +
            scale_fill_manual(values = c("red", "grey")) +
            scale_color_manual(values = c("red", "grey")) +
            labs(
              title = paste(
                i_era,
                "|",
                i_basin,
                "| Gamma slab",
                i_gamma_slab,
                "| # obs total",
                nrow(GLODAP_basin_era),
                "| # obs slab",
                nrow(GLODAP_highlight %>%
                       filter(gamma_highlight == "in"))
              )
            )
          
          png(
            filename = paste(
              path_version_figures,
              "Observations_correlation/",
              paste(
                "Predictor_correlation",
                i_era,
                i_basin,
                i_gamma_slab,
                ".png",
                sep = "_"
              ),
              sep = ""
            ),
            width = 12,
            height = 12,
            units = "in",
            res = 300
          )
          
          print(p)
          
          dev.off()
          
        }
      }
    }
  }
  rm(GLODAP_basin_era, GLODAP_basin_era_slab)
}

2.2 Correlation assessment

2.2.1 Calculation of correlation coeffcients

Correlation coefficients were calculated individually within each slabs, era and basin.

for (i_basin in unique(GLODAP$basin)) {
  for (i_era in unique(GLODAP$era)) {
    # i_basin <- unique(GLODAP$basin)[1]
    # i_era   <- unique(GLODAP$era)[1]
    
    GLODAP_basin_era <- GLODAP %>%
      filter(basin == i_basin,
             era == i_era) %>%
      select(basin,
             era,
             gamma_slab,
             params_local$MLR_target,
             params_local$MLR_predictors)
    
    for (i_gamma_slab in unique(GLODAP_basin_era$gamma_slab)) {
      # i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[5]
      print(i_gamma_slab)
      
      GLODAP_basin_era_slab <- GLODAP_basin_era %>%
        filter(gamma_slab == i_gamma_slab)
      
      # calculate correlation table
      cor_target_predictor_temp <- GLODAP_basin_era_slab %>%
        select(-c(basin, era, gamma_slab)) %>%
        correlate() %>%
        focus(params_local$MLR_target) %>%
        mutate(basin = i_basin,
               era = i_era,
               gamma_slab = i_gamma_slab)
      
      if (exists("cor_target_predictor")) {
        cor_target_predictor <-
          bind_rows(cor_target_predictor, cor_target_predictor_temp)
      }
      
      if (!exists("cor_target_predictor")) {
        cor_target_predictor <- cor_target_predictor_temp
      }
      
      
      cor_predictors_temp <- GLODAP_basin_era_slab %>%
        select(-c(basin, era, gamma_slab)) %>%
        correlate() %>%
        shave %>%
        stretch() %>%
        filter(!is.na(r),
               x != params_local$MLR_target,
               y != params_local$MLR_target) %>%
        mutate(pair = paste(x, y, sep = " + ")) %>%
        select(-c(x, y)) %>%
        mutate(basin = i_basin,
               era = i_era,
               gamma_slab = i_gamma_slab)
      
      if (exists("cor_predictors")) {
        cor_predictors <- bind_rows(cor_predictors, cor_predictors_temp)
      }
      
      if (!exists("cor_predictors")) {
        cor_predictors <- cor_predictors_temp
      }
      
      
      
    }
  }
}

rm(cor_predictors_temp, cor_target_predictor_temp,
   i_gamma_slab, i_era, i_basin,
   GLODAP_basin_era, GLODAP_basin_era_slab)

2.2.2 Predictor pairs

Below, the range of correlations coefficients for each predictor pair is plotted per basin (facet) and density slab (color). Note that the range indicates the min and max values of in total 3 calculated coefficients (one per era).

# calculate min, max, mean across all eras
cor_predictors_stats <- cor_predictors %>% 
  group_by(pair, basin, gamma_slab) %>% 
  summarise(mean_r = mean(r),
            min_r = min(r),
            max_r = max(r)) %>% 
  ungroup()

# plot figure
cor_predictors_stats %>% 
  mutate(pair = reorder(pair, mean_r)) %>%
  ggplot() +
  geom_vline(xintercept = c(-0.9, 0.9), col = "red") +
  geom_vline(xintercept = 0) +
  geom_linerange(
    aes(y = pair, xmin = min_r, xmax = max_r, col = gamma_slab),
    position = position_dodge(width = 0.6)) +
  facet_wrap(~basin) +
  scale_color_viridis_d(direction = -1) +
  labs(x = "correlation coefficient", y = "") +
  theme(legend.position = "top")

Version	Author	Date
bf19764	Donghe-Zhu	2021-03-22
3ec9d3d	Donghe-Zhu	2021-03-22
134ace1	Donghe-Zhu	2021-03-22
f6d70a4	Donghe-Zhu	2021-03-22
183443b	Donghe-Zhu	2021-03-21
2e6976b	Donghe-Zhu	2021-03-21
51a42bd	Donghe-Zhu	2021-03-16
f745381	Donghe-Zhu	2021-03-16
aecbf75	Donghe-Zhu	2021-03-14
1b2a0c2	Donghe-Zhu	2021-03-14
6733e48	Donghe-Zhu	2021-03-12
ba71e6a	Donghe-Zhu	2021-03-12
9dbf5bd	Donghe-Zhu	2021-03-11
a49df30	Donghe-Zhu	2021-03-11
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
2b6c392	Donghe-Zhu	2021-03-10
9f58753	Donghe-Zhu	2021-03-10
9d5a62c	Donghe-Zhu	2021-03-10
5d1e70b	Donghe-Zhu	2021-03-10
2093979	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
17f1c4a	Donghe-Zhu	2021-03-09
02f7242	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
058e0a1	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
ffda45a	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
13666ca	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

# print table
kable(cor_predictors_stats) %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")

pair	basin	gamma_slab	mean_r	min_r	max_r
aou + nitrate	Atlantic	(-Inf,26]	0.8539996	0.8337449	0.8721740
aou + nitrate	Atlantic	(26,26.5]	0.9214779	0.9149432	0.9255607
aou + nitrate	Atlantic	(26.5,26.75]	0.9771638	0.9757109	0.9780078
aou + nitrate	Atlantic	(26.75,27]	0.9819716	0.9791661	0.9844333
aou + nitrate	Atlantic	(27,27.25]	0.9742705	0.9721097	0.9753950
aou + nitrate	Atlantic	(27.25,27.5]	0.9596863	0.9568480	0.9615384
aou + nitrate	Atlantic	(27.5,27.75]	0.9421780	0.9380441	0.9477333
aou + nitrate	Atlantic	(27.75,27.85]	0.9256797	0.9165912	0.9315500
aou + nitrate	Atlantic	(27.85,27.95]	0.9502557	0.9450799	0.9528601
aou + nitrate	Atlantic	(27.95,28.05]	0.9778615	0.9764663	0.9788332
aou + nitrate	Atlantic	(28.05,28.1]	0.9891591	0.9875857	0.9906943
aou + nitrate	Atlantic	(28.1,28.15]	0.9843749	0.9813410	0.9864424
aou + nitrate	Atlantic	(28.15,28.2]	0.9834776	0.9791536	0.9869522
aou + nitrate	Atlantic	(28.2, Inf]	0.9843307	0.9787280	0.9885142
aou + nitrate	Indo-Pacific	(-Inf,26]	0.9338433	0.9319172	0.9364410
aou + nitrate	Indo-Pacific	(26,26.5]	0.8465637	0.8422035	0.8513887
aou + nitrate	Indo-Pacific	(26.5,26.75]	0.7409403	0.7343808	0.7510563
aou + nitrate	Indo-Pacific	(26.75,27]	0.7637969	0.7541224	0.7815007
aou + nitrate	Indo-Pacific	(27,27.25]	0.8139917	0.7996603	0.8332846
aou + nitrate	Indo-Pacific	(27.25,27.5]	0.8622424	0.8544721	0.8690803
aou + nitrate	Indo-Pacific	(27.5,27.75]	0.9005781	0.8961912	0.9028068
aou + nitrate	Indo-Pacific	(27.75,27.85]	0.9635227	0.9565062	0.9698409
aou + nitrate	Indo-Pacific	(27.85,27.95]	0.9697145	0.9666220	0.9726514
aou + nitrate	Indo-Pacific	(27.95,28.05]	0.9883032	0.9877713	0.9892856
aou + nitrate	Indo-Pacific	(28.05,28.1]	0.9881835	0.9877075	0.9891136
aou + nitrate	Indo-Pacific	(28.1, Inf]	0.9917269	0.9914078	0.9918918
aou + nitrate	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
aou + nitrate	SO	(26,26.5]	0.8589344	0.8510929	0.8640723
aou + nitrate	SO	(26.5,26.75]	0.7791408	0.7533981	0.8104752
aou + nitrate	SO	(26.75,27]	0.7988678	0.7900556	0.8073312
aou + nitrate	SO	(27,27.25]	0.7839625	0.7780909	0.7953231
aou + nitrate	SO	(27.25,27.5]	0.7824563	0.7800580	0.7839472
aou + nitrate	SO	(27.5,27.75]	0.8808621	0.8774453	0.8863488
aou + nitrate	SO	(27.75,27.85]	0.9598606	0.9557550	0.9642646
aou + nitrate	SO	(27.85,27.95]	0.8996426	0.8885103	0.9164513
aou + nitrate	SO	(27.95,28.05]	0.7718221	0.7618274	0.7796004
aou + nitrate	SO	(28.05,28.1]	0.7101243	0.6885326	0.7390579
aou + nitrate	SO	(28.1, Inf]	0.8992641	0.8908297	0.9045837
aou + nitrate	SO	(28.1,28.15]	0.2322310	0.2154233	0.2415175
aou + nitrate	SO	(28.15,28.2]	0.2736121	0.2235482	0.3138399
aou + nitrate	SO	(28.2, Inf]	0.5441907	0.5312163	0.5545979
aou + phosphate	Atlantic	(-Inf,26]	0.9275177	0.9208787	0.9364758
aou + phosphate	Atlantic	(26,26.5]	0.8984692	0.8949758	0.9006619
aou + phosphate	Atlantic	(26.5,26.75]	0.9573311	0.9520791	0.9600968
aou + phosphate	Atlantic	(26.75,27]	0.9682209	0.9654516	0.9696575
aou + phosphate	Atlantic	(27,27.25]	0.9519072	0.9511523	0.9528034
aou + phosphate	Atlantic	(27.25,27.5]	0.9389606	0.9345688	0.9411709
aou + phosphate	Atlantic	(27.5,27.75]	0.9228582	0.9176199	0.9299397
aou + phosphate	Atlantic	(27.75,27.85]	0.9054268	0.8940612	0.9129574
aou + phosphate	Atlantic	(27.85,27.95]	0.9356967	0.9289376	0.9394411
aou + phosphate	Atlantic	(27.95,28.05]	0.9705696	0.9684507	0.9716618
aou + phosphate	Atlantic	(28.05,28.1]	0.9881551	0.9864737	0.9901031
aou + phosphate	Atlantic	(28.1,28.15]	0.9833506	0.9800154	0.9852307
aou + phosphate	Atlantic	(28.15,28.2]	0.9829392	0.9771889	0.9859092
aou + phosphate	Atlantic	(28.2, Inf]	0.9838435	0.9788201	0.9876359
aou + phosphate	Indo-Pacific	(-Inf,26]	0.9675086	0.9661941	0.9689169
aou + phosphate	Indo-Pacific	(26,26.5]	0.9595301	0.9581029	0.9610358
aou + phosphate	Indo-Pacific	(26.5,26.75]	0.9701533	0.9695963	0.9707308
aou + phosphate	Indo-Pacific	(26.75,27]	0.9677365	0.9670936	0.9688203
aou + phosphate	Indo-Pacific	(27,27.25]	0.9797007	0.9795918	0.9797979
aou + phosphate	Indo-Pacific	(27.25,27.5]	0.9817451	0.9802059	0.9835712
aou + phosphate	Indo-Pacific	(27.5,27.75]	0.9833499	0.9822817	0.9839969
aou + phosphate	Indo-Pacific	(27.75,27.85]	0.9923348	0.9913848	0.9934760
aou + phosphate	Indo-Pacific	(27.85,27.95]	0.9936997	0.9933974	0.9939626
aou + phosphate	Indo-Pacific	(27.95,28.05]	0.9975329	0.9973254	0.9977635
aou + phosphate	Indo-Pacific	(28.05,28.1]	0.9980833	0.9980306	0.9981594
aou + phosphate	Indo-Pacific	(28.1, Inf]	0.9973530	0.9973003	0.9974094
aou + phosphate	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
aou + phosphate	SO	(26,26.5]	0.7994938	0.7902874	0.8070471
aou + phosphate	SO	(26.5,26.75]	0.7492489	0.7167690	0.7877582
aou + phosphate	SO	(26.75,27]	0.8003840	0.7885245	0.8105618
aou + phosphate	SO	(27,27.25]	0.7777527	0.7719778	0.7890706
aou + phosphate	SO	(27.25,27.5]	0.7676849	0.7661921	0.7685661
aou + phosphate	SO	(27.5,27.75]	0.8790470	0.8753152	0.8849389
aou + phosphate	SO	(27.75,27.85]	0.9568847	0.9517413	0.9616835
aou + phosphate	SO	(27.85,27.95]	0.8972234	0.8852698	0.9140661
aou + phosphate	SO	(27.95,28.05]	0.7541061	0.7431969	0.7619339
aou + phosphate	SO	(28.05,28.1]	0.7157009	0.6946245	0.7424908
aou + phosphate	SO	(28.1, Inf]	0.8637485	0.8501425	0.8710554
aou + phosphate	SO	(28.1,28.15]	0.2442825	0.2263075	0.2545591
aou + phosphate	SO	(28.15,28.2]	0.3009954	0.2578935	0.3325649
aou + phosphate	SO	(28.2, Inf]	0.6016561	0.5839522	0.6240764
aou + phosphate_star	Atlantic	(-Inf,26]	0.2343014	0.1773169	0.2914419
aou + phosphate_star	Atlantic	(26,26.5]	0.3882651	0.3721456	0.4031017
aou + phosphate_star	Atlantic	(26.5,26.75]	0.2078648	0.1933917	0.2188048
aou + phosphate_star	Atlantic	(26.75,27]	0.0654462	0.0521125	0.0770808
aou + phosphate_star	Atlantic	(27,27.25]	0.2841668	0.2541013	0.3010748
aou + phosphate_star	Atlantic	(27.25,27.5]	0.4750249	0.4554896	0.5005470
aou + phosphate_star	Atlantic	(27.5,27.75]	0.5105232	0.4952873	0.5182676
aou + phosphate_star	Atlantic	(27.75,27.85]	0.6401329	0.6228048	0.6605469
aou + phosphate_star	Atlantic	(27.85,27.95]	0.7660594	0.7440435	0.7855821
aou + phosphate_star	Atlantic	(27.95,28.05]	0.8955800	0.8848717	0.9040087
aou + phosphate_star	Atlantic	(28.05,28.1]	0.9607432	0.9559924	0.9683596
aou + phosphate_star	Atlantic	(28.1,28.15]	0.9480756	0.9423803	0.9527965
aou + phosphate_star	Atlantic	(28.15,28.2]	0.9426849	0.9321635	0.9489364
aou + phosphate_star	Atlantic	(28.2, Inf]	0.9662631	0.9596004	0.9704718
aou + phosphate_star	Indo-Pacific	(-Inf,26]	0.5932655	0.5742852	0.6112455
aou + phosphate_star	Indo-Pacific	(26,26.5]	0.4240713	0.4179656	0.4289477
aou + phosphate_star	Indo-Pacific	(26.5,26.75]	0.4650506	0.4579726	0.4739811
aou + phosphate_star	Indo-Pacific	(26.75,27]	0.5777302	0.5662798	0.5946927
aou + phosphate_star	Indo-Pacific	(27,27.25]	0.6993262	0.6895726	0.7126924
aou + phosphate_star	Indo-Pacific	(27.25,27.5]	0.6531641	0.6314378	0.6823181
aou + phosphate_star	Indo-Pacific	(27.5,27.75]	0.4622026	0.4491147	0.4814891
aou + phosphate_star	Indo-Pacific	(27.75,27.85]	0.4146485	0.3710992	0.4391829
aou + phosphate_star	Indo-Pacific	(27.85,27.95]	0.4336645	0.4300935	0.4375477
aou + phosphate_star	Indo-Pacific	(27.95,28.05]	0.5576252	0.5510304	0.5633991
aou + phosphate_star	Indo-Pacific	(28.05,28.1]	0.6718676	0.6662786	0.6808969
aou + phosphate_star	Indo-Pacific	(28.1, Inf]	0.2360230	0.2185270	0.2508410
aou + phosphate_star	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
aou + phosphate_star	SO	(26,26.5]	-0.4985502	-0.5404780	-0.4280328
aou + phosphate_star	SO	(26.5,26.75]	-0.0685550	-0.1118240	-0.0466723
aou + phosphate_star	SO	(26.75,27]	0.2535719	0.2238871	0.2915995
aou + phosphate_star	SO	(27,27.25]	0.1114558	0.0705588	0.1344309
aou + phosphate_star	SO	(27.25,27.5]	-0.3625432	-0.3876979	-0.3442655
aou + phosphate_star	SO	(27.5,27.75]	-0.4928716	-0.5223996	-0.4576178
aou + phosphate_star	SO	(27.75,27.85]	-0.8431593	-0.8494514	-0.8397225
aou + phosphate_star	SO	(27.85,27.95]	-0.7553951	-0.7764350	-0.7333048
aou + phosphate_star	SO	(27.95,28.05]	-0.8346710	-0.8432499	-0.8239328
aou + phosphate_star	SO	(28.05,28.1]	-0.8115427	-0.8270639	-0.7918288
aou + phosphate_star	SO	(28.1, Inf]	-0.4341619	-0.4534477	-0.4227479
aou + phosphate_star	SO	(28.1,28.15]	-0.5433779	-0.5724394	-0.5277504
aou + phosphate_star	SO	(28.15,28.2]	-0.3548531	-0.4810766	-0.2195951
aou + phosphate_star	SO	(28.2, Inf]	0.0957227	0.0516027	0.1234535
aou + silicate	Atlantic	(-Inf,26]	0.1166259	0.0475477	0.2038802
aou + silicate	Atlantic	(26,26.5]	0.2755339	0.2252338	0.3049358
aou + silicate	Atlantic	(26.5,26.75]	0.6218662	0.5928281	0.6410698
aou + silicate	Atlantic	(26.75,27]	0.7643971	0.7529336	0.7776528
aou + silicate	Atlantic	(27,27.25]	0.7645317	0.7596545	0.7685206
aou + silicate	Atlantic	(27.25,27.5]	0.7367251	0.7220755	0.7466233
aou + silicate	Atlantic	(27.5,27.75]	0.7054796	0.6945265	0.7223737
aou + silicate	Atlantic	(27.75,27.85]	0.6180886	0.5917873	0.6395129
aou + silicate	Atlantic	(27.85,27.95]	0.7085117	0.6861827	0.7258800
aou + silicate	Atlantic	(27.95,28.05]	0.8495891	0.8296244	0.8615874
aou + silicate	Atlantic	(28.05,28.1]	0.9347964	0.9236148	0.9460643
aou + silicate	Atlantic	(28.1,28.15]	0.9477760	0.9433029	0.9538999
aou + silicate	Atlantic	(28.15,28.2]	0.9268850	0.9219064	0.9323908
aou + silicate	Atlantic	(28.2, Inf]	0.9458815	0.9420546	0.9487634
aou + silicate	Indo-Pacific	(-Inf,26]	0.8368019	0.8319698	0.8401897
aou + silicate	Indo-Pacific	(26,26.5]	0.7666308	0.7645780	0.7678800
aou + silicate	Indo-Pacific	(26.5,26.75]	0.7498773	0.7453921	0.7556593
aou + silicate	Indo-Pacific	(26.75,27]	0.8230879	0.8200966	0.8269751
aou + silicate	Indo-Pacific	(27,27.25]	0.8846439	0.8816204	0.8881779
aou + silicate	Indo-Pacific	(27.25,27.5]	0.9121147	0.9080776	0.9178932
aou + silicate	Indo-Pacific	(27.5,27.75]	0.9064466	0.9040479	0.9089661
aou + silicate	Indo-Pacific	(27.75,27.85]	0.9389751	0.9346567	0.9425032
aou + silicate	Indo-Pacific	(27.85,27.95]	0.9335836	0.9310799	0.9385309
aou + silicate	Indo-Pacific	(27.95,28.05]	0.9738760	0.9725086	0.9763097
aou + silicate	Indo-Pacific	(28.05,28.1]	0.9761762	0.9757880	0.9766851
aou + silicate	Indo-Pacific	(28.1, Inf]	0.6957485	0.6873204	0.7077196
aou + silicate	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
aou + silicate	SO	(26,26.5]	0.8922324	0.8729544	0.9208592
aou + silicate	SO	(26.5,26.75]	0.8707112	0.8509516	0.8917752
aou + silicate	SO	(26.75,27]	0.8733626	0.8681672	0.8766713
aou + silicate	SO	(27,27.25]	0.8328263	0.8257026	0.8406134
aou + silicate	SO	(27.25,27.5]	0.7772057	0.7732314	0.7804292
aou + silicate	SO	(27.5,27.75]	0.8596616	0.8527331	0.8663867
aou + silicate	SO	(27.75,27.85]	0.9372845	0.9314734	0.9424413
aou + silicate	SO	(27.85,27.95]	0.8950156	0.8848835	0.9037273
aou + silicate	SO	(27.95,28.05]	0.7691316	0.7649696	0.7741314
aou + silicate	SO	(28.05,28.1]	0.8291068	0.8158312	0.8384952
aou + silicate	SO	(28.1, Inf]	0.4721481	0.4460283	0.4928607
aou + silicate	SO	(28.1,28.15]	0.6850147	0.6662232	0.6982460
aou + silicate	SO	(28.15,28.2]	0.7987624	0.7844488	0.8078143
aou + silicate	SO	(28.2, Inf]	0.5870015	0.5647212	0.6233963
nitrate + phosphate	Atlantic	(-Inf,26]	0.6859495	0.6459149	0.7362682
nitrate + phosphate	Atlantic	(26,26.5]	0.8297736	0.8213837	0.8457918
nitrate + phosphate	Atlantic	(26.5,26.75]	0.9687336	0.9666063	0.9703441
nitrate + phosphate	Atlantic	(26.75,27]	0.9802116	0.9792494	0.9811658
nitrate + phosphate	Atlantic	(27,27.25]	0.9905670	0.9901400	0.9911878
nitrate + phosphate	Atlantic	(27.25,27.5]	0.9958948	0.9956589	0.9962594
nitrate + phosphate	Atlantic	(27.5,27.75]	0.9969911	0.9968203	0.9970829
nitrate + phosphate	Atlantic	(27.75,27.85]	0.9985163	0.9983696	0.9986364
nitrate + phosphate	Atlantic	(27.85,27.95]	0.9987451	0.9986819	0.9988020
nitrate + phosphate	Atlantic	(27.95,28.05]	0.9986858	0.9984773	0.9988429
nitrate + phosphate	Atlantic	(28.05,28.1]	0.9993942	0.9993182	0.9994431
nitrate + phosphate	Atlantic	(28.1,28.15]	0.9989442	0.9988458	0.9990947
nitrate + phosphate	Atlantic	(28.15,28.2]	0.9917173	0.9911272	0.9922879
nitrate + phosphate	Atlantic	(28.2, Inf]	0.9965262	0.9963685	0.9967982
nitrate + phosphate	Indo-Pacific	(-Inf,26]	0.9548492	0.9519586	0.9587212
nitrate + phosphate	Indo-Pacific	(26,26.5]	0.8608473	0.8539548	0.8669772
nitrate + phosphate	Indo-Pacific	(26.5,26.75]	0.7614995	0.7532193	0.7732397
nitrate + phosphate	Indo-Pacific	(26.75,27]	0.7940990	0.7813810	0.8149102
nitrate + phosphate	Indo-Pacific	(27,27.25]	0.8220803	0.8042293	0.8443969
nitrate + phosphate	Indo-Pacific	(27.25,27.5]	0.8623247	0.8549849	0.8661091
nitrate + phosphate	Indo-Pacific	(27.5,27.75]	0.9135869	0.9080494	0.9189643
nitrate + phosphate	Indo-Pacific	(27.75,27.85]	0.9743805	0.9706566	0.9782743
nitrate + phosphate	Indo-Pacific	(27.85,27.95]	0.9857795	0.9841758	0.9874714
nitrate + phosphate	Indo-Pacific	(27.95,28.05]	0.9955441	0.9951893	0.9959462
nitrate + phosphate	Indo-Pacific	(28.05,28.1]	0.9942750	0.9939654	0.9948889
nitrate + phosphate	Indo-Pacific	(28.1, Inf]	0.9952011	0.9949076	0.9953571
nitrate + phosphate	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
nitrate + phosphate	SO	(26,26.5]	0.9748349	0.9720687	0.9765478
nitrate + phosphate	SO	(26.5,26.75]	0.9799245	0.9774233	0.9820576
nitrate + phosphate	SO	(26.75,27]	0.9925643	0.9921955	0.9930135
nitrate + phosphate	SO	(27,27.25]	0.9975609	0.9974621	0.9977200
nitrate + phosphate	SO	(27.25,27.5]	0.9983467	0.9980988	0.9985193
nitrate + phosphate	SO	(27.5,27.75]	0.9988749	0.9988309	0.9989250
nitrate + phosphate	SO	(27.75,27.85]	0.9984669	0.9983544	0.9986622
nitrate + phosphate	SO	(27.85,27.95]	0.9975055	0.9974502	0.9975883
nitrate + phosphate	SO	(27.95,28.05]	0.9963321	0.9962786	0.9963744
nitrate + phosphate	SO	(28.05,28.1]	0.9962715	0.9962371	0.9963333
nitrate + phosphate	SO	(28.1, Inf]	0.9707243	0.9698901	0.9715556
nitrate + phosphate	SO	(28.1,28.15]	0.9985549	0.9985377	0.9985815
nitrate + phosphate	SO	(28.15,28.2]	0.9985986	0.9981265	0.9991075
nitrate + phosphate	SO	(28.2, Inf]	0.9513270	0.9494301	0.9524851
nitrate + phosphate_star	Atlantic	(-Inf,26]	0.1315064	0.0377457	0.1878968
nitrate + phosphate_star	Atlantic	(26,26.5]	0.3814821	0.3412314	0.4271442
nitrate + phosphate_star	Atlantic	(26.5,26.75]	0.3070926	0.2939424	0.3159672
nitrate + phosphate_star	Atlantic	(26.75,27]	0.1746864	0.1536342	0.1997115
nitrate + phosphate_star	Atlantic	(27,27.25]	0.4640391	0.4341539	0.4833538
nitrate + phosphate_star	Atlantic	(27.25,27.5]	0.6877506	0.6766992	0.7080851
nitrate + phosphate_star	Atlantic	(27.5,27.75]	0.7412952	0.7359077	0.7512936
nitrate + phosphate_star	Atlantic	(27.75,27.85]	0.8784849	0.8722911	0.8837046
nitrate + phosphate_star	Atlantic	(27.85,27.95]	0.9241423	0.9177237	0.9323036
nitrate + phosphate_star	Atlantic	(27.95,28.05]	0.9635824	0.9584127	0.9676281
nitrate + phosphate_star	Atlantic	(28.05,28.1]	0.9861315	0.9835754	0.9887146
nitrate + phosphate_star	Atlantic	(28.1,28.15]	0.9843992	0.9837756	0.9856229
nitrate + phosphate_star	Atlantic	(28.15,28.2]	0.9716933	0.9698271	0.9740131
nitrate + phosphate_star	Atlantic	(28.2, Inf]	0.9902507	0.9895149	0.9907639
nitrate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7313353	0.7222308	0.7424464
nitrate + phosphate_star	Indo-Pacific	(26,26.5]	0.5551756	0.5435425	0.5621729
nitrate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.5524222	0.5368745	0.5634103
nitrate + phosphate_star	Indo-Pacific	(26.75,27]	0.6608537	0.6423282	0.6865945
nitrate + phosphate_star	Indo-Pacific	(27,27.25]	0.7310984	0.7095314	0.7537401
nitrate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.6828704	0.6649275	0.6956624
nitrate + phosphate_star	Indo-Pacific	(27.5,27.75]	0.5892847	0.5727299	0.6005165
nitrate + phosphate_star	Indo-Pacific	(27.75,27.85]	0.5332139	0.4917485	0.5541279
nitrate + phosphate_star	Indo-Pacific	(27.85,27.95]	0.5830330	0.5803075	0.5844682
nitrate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.6692318	0.6652621	0.6764508
nitrate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.7695431	0.7615988	0.7785678
nitrate + phosphate_star	Indo-Pacific	(28.1, Inf]	0.3303949	0.3144716	0.3439887
nitrate + phosphate_star	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
nitrate + phosphate_star	SO	(26,26.5]	-0.0191589	-0.0662778	0.0467563
nitrate + phosphate_star	SO	(26.5,26.75]	0.5321082	0.4469308	0.5877699
nitrate + phosphate_star	SO	(26.75,27]	0.7631378	0.7505566	0.7850455
nitrate + phosphate_star	SO	(27,27.25]	0.6977657	0.6748379	0.7175962
nitrate + phosphate_star	SO	(27.25,27.5]	0.2937180	0.2710747	0.3113927
nitrate + phosphate_star	SO	(27.5,27.75]	-0.0248882	-0.0707155	0.0199245
nitrate + phosphate_star	SO	(27.75,27.85]	-0.6679065	-0.6747980	-0.6631535
nitrate + phosphate_star	SO	(27.85,27.95]	-0.4061092	-0.4710116	-0.3637678
nitrate + phosphate_star	SO	(27.95,28.05]	-0.3026869	-0.3208590	-0.2682544
nitrate + phosphate_star	SO	(28.05,28.1]	-0.1714176	-0.2386647	-0.1277687
nitrate + phosphate_star	SO	(28.1, Inf]	-0.0386278	-0.0748901	-0.0080611
nitrate + phosphate_star	SO	(28.1,28.15]	0.6885837	0.6562317	0.7145211
nitrate + phosphate_star	SO	(28.15,28.2]	0.7972495	0.7458861	0.8566319
nitrate + phosphate_star	SO	(28.2, Inf]	0.8606899	0.8458490	0.8732401
nitrate + silicate	Atlantic	(-Inf,26]	0.5955623	0.5397606	0.6350915
nitrate + silicate	Atlantic	(26,26.5]	0.5629596	0.5358350	0.5859366
nitrate + silicate	Atlantic	(26.5,26.75]	0.7010425	0.6780916	0.7191498
nitrate + silicate	Atlantic	(26.75,27]	0.8321323	0.8259458	0.8406234
nitrate + silicate	Atlantic	(27,27.25]	0.8808531	0.8753629	0.8845390
nitrate + silicate	Atlantic	(27.25,27.5]	0.8904369	0.8858415	0.8951401
nitrate + silicate	Atlantic	(27.5,27.75]	0.8968283	0.8950501	0.8999474
nitrate + silicate	Atlantic	(27.75,27.85]	0.8620609	0.8571424	0.8675964
nitrate + silicate	Atlantic	(27.85,27.95]	0.8751230	0.8691411	0.8845922
nitrate + silicate	Atlantic	(27.95,28.05]	0.9089569	0.8956628	0.9166122
nitrate + silicate	Atlantic	(28.05,28.1]	0.9437255	0.9342033	0.9509065
nitrate + silicate	Atlantic	(28.1,28.15]	0.9535005	0.9445270	0.9612912
nitrate + silicate	Atlantic	(28.15,28.2]	0.9234549	0.9162696	0.9291138
nitrate + silicate	Atlantic	(28.2, Inf]	0.9568951	0.9553107	0.9584363
nitrate + silicate	Indo-Pacific	(-Inf,26]	0.8583043	0.8557349	0.8598416
nitrate + silicate	Indo-Pacific	(26,26.5]	0.7797626	0.7669452	0.7924437
nitrate + silicate	Indo-Pacific	(26.5,26.75]	0.7977034	0.7922314	0.8047539
nitrate + silicate	Indo-Pacific	(26.75,27]	0.8307788	0.8223486	0.8446462
nitrate + silicate	Indo-Pacific	(27,27.25]	0.8820233	0.8709279	0.8950911
nitrate + silicate	Indo-Pacific	(27.25,27.5]	0.9054651	0.9032032	0.9075343
nitrate + silicate	Indo-Pacific	(27.5,27.75]	0.9333500	0.9319516	0.9356751
nitrate + silicate	Indo-Pacific	(27.75,27.85]	0.9576364	0.9562856	0.9593660
nitrate + silicate	Indo-Pacific	(27.85,27.95]	0.9569031	0.9555683	0.9593254
nitrate + silicate	Indo-Pacific	(27.95,28.05]	0.9678792	0.9645823	0.9708928
nitrate + silicate	Indo-Pacific	(28.05,28.1]	0.9611225	0.9605840	0.9615373
nitrate + silicate	Indo-Pacific	(28.1, Inf]	0.7276573	0.7211448	0.7376753
nitrate + silicate	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
nitrate + silicate	SO	(26,26.5]	0.7803178	0.7546874	0.8156398
nitrate + silicate	SO	(26.5,26.75]	0.6122450	0.5769771	0.6592947
nitrate + silicate	SO	(26.75,27]	0.7597996	0.7482290	0.7709801
nitrate + silicate	SO	(27,27.25]	0.9074538	0.9014513	0.9124302
nitrate + silicate	SO	(27.25,27.5]	0.9600150	0.9572957	0.9614230
nitrate + silicate	SO	(27.5,27.75]	0.9624420	0.9611228	0.9640068
nitrate + silicate	SO	(27.75,27.85]	0.9678282	0.9661964	0.9689780
nitrate + silicate	SO	(27.85,27.95]	0.9508728	0.9478257	0.9557652
nitrate + silicate	SO	(27.95,28.05]	0.9266360	0.9224859	0.9319097
nitrate + silicate	SO	(28.05,28.1]	0.8777786	0.8698436	0.8876033
nitrate + silicate	SO	(28.1, Inf]	0.5536808	0.5462008	0.5619225
nitrate + silicate	SO	(28.1,28.15]	0.7334819	0.7161869	0.7443927
nitrate + silicate	SO	(28.15,28.2]	0.6444062	0.5905743	0.7032760
nitrate + silicate	SO	(28.2, Inf]	0.6748518	0.6585159	0.6995882
phosphate + phosphate_star	Atlantic	(-Inf,26]	0.5252052	0.4804012	0.5835295
phosphate + phosphate_star	Atlantic	(26,26.5]	0.7409522	0.7266810	0.7576456
phosphate + phosphate_star	Atlantic	(26.5,26.75]	0.4767539	0.4728885	0.4790388
phosphate + phosphate_star	Atlantic	(26.75,27]	0.3074046	0.2898822	0.3298451
phosphate + phosphate_star	Atlantic	(27,27.25]	0.5589146	0.5334347	0.5747980
phosphate + phosphate_star	Atlantic	(27.25,27.5]	0.7420598	0.7325444	0.7581207
phosphate + phosphate_star	Atlantic	(27.5,27.75]	0.7870681	0.7811193	0.7958707
phosphate + phosphate_star	Atlantic	(27.75,27.85]	0.9027188	0.8969726	0.9065267
phosphate + phosphate_star	Atlantic	(27.85,27.95]	0.9410027	0.9363436	0.9485944
phosphate + phosphate_star	Atlantic	(27.95,28.05]	0.9737207	0.9702143	0.9769768
phosphate + phosphate_star	Atlantic	(28.05,28.1]	0.9902253	0.9883877	0.9922366
phosphate + phosphate_star	Atlantic	(28.1,28.15]	0.9887907	0.9882413	0.9896003
phosphate + phosphate_star	Atlantic	(28.15,28.2]	0.9872380	0.9866935	0.9879614
phosphate + phosphate_star	Atlantic	(28.2, Inf]	0.9953786	0.9951788	0.9957057
phosphate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7623801	0.7502787	0.7735068
phosphate + phosphate_star	Indo-Pacific	(26,26.5]	0.6565535	0.6550459	0.6578948
phosphate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.6585692	0.6542288	0.6633032
phosphate + phosphate_star	Indo-Pacific	(26.75,27]	0.7490595	0.7409444	0.7588505
phosphate + phosphate_star	Indo-Pacific	(27,27.25]	0.8185589	0.8110298	0.8287180
phosphate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.7783110	0.7639338	0.7974086
phosphate + phosphate_star	Indo-Pacific	(27.5,27.75]	0.6094584	0.5966772	0.6236373
phosphate + phosphate_star	Indo-Pacific	(27.75,27.85]	0.5156245	0.4692464	0.5417862
phosphate + phosphate_star	Indo-Pacific	(27.85,27.95]	0.5256076	0.5215442	0.5291106
phosphate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.6116744	0.6076776	0.6173392
phosphate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.7134544	0.7072736	0.7225816
phosphate + phosphate_star	Indo-Pacific	(28.1, Inf]	0.3030426	0.2858612	0.3182904
phosphate + phosphate_star	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
phosphate + phosphate_star	SO	(26,26.5]	0.1123506	0.0525919	0.1893944
phosphate + phosphate_star	SO	(26.5,26.75]	0.6016604	0.5181096	0.6583797
phosphate + phosphate_star	SO	(26.75,27]	0.7788231	0.7632208	0.8009611
phosphate + phosphate_star	SO	(27,27.25]	0.7097653	0.6868840	0.7290211
phosphate + phosphate_star	SO	(27.25,27.5]	0.3179891	0.2944224	0.3353518
phosphate + phosphate_star	SO	(27.5,27.75]	-0.0217364	-0.0685136	0.0234520
phosphate + phosphate_star	SO	(27.75,27.85]	-0.6597833	-0.6679950	-0.6554470
phosphate + phosphate_star	SO	(27.85,27.95]	-0.4036725	-0.4682424	-0.3624907
phosphate + phosphate_star	SO	(27.95,28.05]	-0.2804382	-0.3002687	-0.2449851
phosphate + phosphate_star	SO	(28.05,28.1]	-0.1848361	-0.2493717	-0.1434541
phosphate + phosphate_star	SO	(28.1, Inf]	0.0694314	0.0350861	0.1055483
phosphate + phosphate_star	SO	(28.1,28.15]	0.6774715	0.6438060	0.7048273
phosphate + phosphate_star	SO	(28.15,28.2]	0.7779187	0.7200931	0.8450303
phosphate + phosphate_star	SO	(28.2, Inf]	0.8430466	0.8311911	0.8604951
sal + aou	Atlantic	(-Inf,26]	-0.4023770	-0.4764244	-0.3519192
sal + aou	Atlantic	(26,26.5]	-0.3559369	-0.3724665	-0.3457906
sal + aou	Atlantic	(26.5,26.75]	0.2554168	0.2424788	0.2702163
sal + aou	Atlantic	(26.75,27]	0.3926965	0.3832292	0.4089303
sal + aou	Atlantic	(27,27.25]	0.1883397	0.1562541	0.2346929
sal + aou	Atlantic	(27.25,27.5]	0.0293532	-0.0328917	0.0694140
sal + aou	Atlantic	(27.5,27.75]	0.4835797	0.4688926	0.5108888
sal + aou	Atlantic	(27.75,27.85]	0.1957062	0.0963500	0.2916934
sal + aou	Atlantic	(27.85,27.95]	0.0768172	0.0409118	0.1348079
sal + aou	Atlantic	(27.95,28.05]	-0.3011635	-0.3756004	-0.2333070
sal + aou	Atlantic	(28.05,28.1]	-0.6962392	-0.7334168	-0.6399101
sal + aou	Atlantic	(28.1,28.15]	-0.8803482	-0.9035869	-0.8408677
sal + aou	Atlantic	(28.15,28.2]	-0.7925730	-0.8082125	-0.7836197
sal + aou	Atlantic	(28.2, Inf]	-0.9508461	-0.9565794	-0.9434790
sal + aou	Indo-Pacific	(-Inf,26]	-0.2339546	-0.2509918	-0.2196460
sal + aou	Indo-Pacific	(26,26.5]	-0.1540132	-0.1617021	-0.1499840
sal + aou	Indo-Pacific	(26.5,26.75]	-0.1578100	-0.1699592	-0.1460743
sal + aou	Indo-Pacific	(26.75,27]	-0.3182079	-0.3242126	-0.3080299
sal + aou	Indo-Pacific	(27,27.25]	-0.5199650	-0.5335747	-0.5116237
sal + aou	Indo-Pacific	(27.25,27.5]	-0.5222522	-0.5503454	-0.4980522
sal + aou	Indo-Pacific	(27.5,27.75]	-0.3055380	-0.3186126	-0.2957739
sal + aou	Indo-Pacific	(27.75,27.85]	-0.0778921	-0.1301134	-0.0441093
sal + aou	Indo-Pacific	(27.85,27.95]	-0.0113635	-0.0327250	0.0100579
sal + aou	Indo-Pacific	(27.95,28.05]	0.1586085	0.1120783	0.1999541
sal + aou	Indo-Pacific	(28.05,28.1]	0.0728623	-0.0051548	0.1185225
sal + aou	Indo-Pacific	(28.1, Inf]	-0.5901218	-0.5928836	-0.5854489
sal + aou	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
sal + aou	SO	(26,26.5]	0.4992595	0.4010597	0.5847443
sal + aou	SO	(26.5,26.75]	0.1035320	0.0597045	0.1570388
sal + aou	SO	(26.75,27]	-0.2805514	-0.3215873	-0.2467955
sal + aou	SO	(27,27.25]	-0.1757440	-0.1998400	-0.1440248
sal + aou	SO	(27.25,27.5]	0.4644415	0.4336720	0.4977292
sal + aou	SO	(27.5,27.75]	0.7174028	0.6835446	0.7505422
sal + aou	SO	(27.75,27.85]	0.9137850	0.9112664	0.9180043
sal + aou	SO	(27.85,27.95]	0.8229023	0.8081338	0.8430790
sal + aou	SO	(27.95,28.05]	0.7494807	0.7410441	0.7581070
sal + aou	SO	(28.05,28.1]	0.7533623	0.7427074	0.7730092
sal + aou	SO	(28.1, Inf]	0.4964764	0.4684583	0.5154047
sal + aou	SO	(28.1,28.15]	0.4323390	0.4106289	0.4552707
sal + aou	SO	(28.15,28.2]	0.3019527	0.1900362	0.4208849
sal + aou	SO	(28.2, Inf]	0.4106201	0.3633739	0.4425113
sal + nitrate	Atlantic	(-Inf,26]	-0.6752384	-0.7100478	-0.6428508
sal + nitrate	Atlantic	(26,26.5]	-0.3867687	-0.4095930	-0.3566690
sal + nitrate	Atlantic	(26.5,26.75]	0.1991836	0.1867522	0.2166923
sal + nitrate	Atlantic	(26.75,27]	0.3365715	0.3121429	0.3619032
sal + nitrate	Atlantic	(27,27.25]	0.0732737	0.0392296	0.1206359
sal + nitrate	Atlantic	(27.25,27.5]	-0.1398208	-0.2080527	-0.0899652
sal + nitrate	Atlantic	(27.5,27.75]	0.3983305	0.3766052	0.4273134
sal + nitrate	Atlantic	(27.75,27.85]	-0.0432022	-0.1781690	0.0696038
sal + nitrate	Atlantic	(27.85,27.95]	-0.1037192	-0.1361799	-0.0683161
sal + nitrate	Atlantic	(27.95,28.05]	-0.3081186	-0.3685980	-0.2445024
sal + nitrate	Atlantic	(28.05,28.1]	-0.6508883	-0.6994954	-0.5796719
sal + nitrate	Atlantic	(28.1,28.15]	-0.8342442	-0.8718062	-0.7725890
sal + nitrate	Atlantic	(28.15,28.2]	-0.8267158	-0.8578949	-0.7878746
sal + nitrate	Atlantic	(28.2, Inf]	-0.9529175	-0.9706684	-0.9356009
sal + nitrate	Indo-Pacific	(-Inf,26]	-0.3640627	-0.3777356	-0.3536205
sal + nitrate	Indo-Pacific	(26,26.5]	-0.3907338	-0.3931685	-0.3864552
sal + nitrate	Indo-Pacific	(26.5,26.75]	-0.4138340	-0.4354398	-0.3946714
sal + nitrate	Indo-Pacific	(26.75,27]	-0.5058640	-0.5177558	-0.4994218
sal + nitrate	Indo-Pacific	(27,27.25]	-0.6839504	-0.6862931	-0.6820988
sal + nitrate	Indo-Pacific	(27.25,27.5]	-0.6358702	-0.6573636	-0.6115215
sal + nitrate	Indo-Pacific	(27.5,27.75]	-0.4125300	-0.4243375	-0.4032529
sal + nitrate	Indo-Pacific	(27.75,27.85]	-0.1567012	-0.2136273	-0.0731179
sal + nitrate	Indo-Pacific	(27.85,27.95]	-0.0826826	-0.1168924	-0.0305700
sal + nitrate	Indo-Pacific	(27.95,28.05]	0.0473215	-0.0013460	0.0920439
sal + nitrate	Indo-Pacific	(28.05,28.1]	-0.0535916	-0.1346286	-0.0023045
sal + nitrate	Indo-Pacific	(28.1, Inf]	-0.6066363	-0.6090042	-0.6038145
sal + nitrate	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
sal + nitrate	SO	(26,26.5]	0.1402124	0.0645678	0.2174660
sal + nitrate	SO	(26.5,26.75]	-0.4413479	-0.5173118	-0.3484558
sal + nitrate	SO	(26.75,27]	-0.7031078	-0.7150796	-0.6970044
sal + nitrate	SO	(27,27.25]	-0.7078893	-0.7234114	-0.6914251
sal + nitrate	SO	(27.25,27.5]	-0.1500920	-0.1834216	-0.1156296
sal + nitrate	SO	(27.5,27.75]	0.3315622	0.2821489	0.3861385
sal + nitrate	SO	(27.75,27.85]	0.7965130	0.7940114	0.8003133
sal + nitrate	SO	(27.85,27.95]	0.5840057	0.5446672	0.6491385
sal + nitrate	SO	(27.95,28.05]	0.4027102	0.3477004	0.4342000
sal + nitrate	SO	(28.05,28.1]	0.2225532	0.1803533	0.2995994
sal + nitrate	SO	(28.1, Inf]	0.3547599	0.3253364	0.3820837
sal + nitrate	SO	(28.1,28.15]	-0.7611501	-0.7873792	-0.7378410
sal + nitrate	SO	(28.15,28.2]	-0.8242019	-0.8671127	-0.7800365
sal + nitrate	SO	(28.2, Inf]	-0.1387411	-0.1889013	-0.1073723
sal + phosphate	Atlantic	(-Inf,26]	-0.2860781	-0.3882781	-0.2251075
sal + phosphate	Atlantic	(26,26.5]	-0.6074894	-0.6202390	-0.5900776
sal + phosphate	Atlantic	(26.5,26.75]	0.0274790	0.0008390	0.0553814
sal + phosphate	Atlantic	(26.75,27]	0.2178098	0.1916535	0.2433933
sal + phosphate	Atlantic	(27,27.25]	-0.0386662	-0.0716771	0.0084703
sal + phosphate	Atlantic	(27.25,27.5]	-0.2120074	-0.2758650	-0.1626627
sal + phosphate	Atlantic	(27.5,27.75]	0.3346070	0.3135180	0.3620573
sal + phosphate	Atlantic	(27.75,27.85]	-0.0894535	-0.2265323	0.0234351
sal + phosphate	Atlantic	(27.85,27.95]	-0.1399736	-0.1788490	-0.1118333
sal + phosphate	Atlantic	(27.95,28.05]	-0.3278411	-0.3826481	-0.2678148
sal + phosphate	Atlantic	(28.05,28.1]	-0.6679704	-0.7181532	-0.5957571
sal + phosphate	Atlantic	(28.1,28.15]	-0.8328555	-0.8722835	-0.7692513
sal + phosphate	Atlantic	(28.15,28.2]	-0.7619249	-0.7900111	-0.7265416
sal + phosphate	Atlantic	(28.2, Inf]	-0.9323043	-0.9495946	-0.9162809
sal + phosphate	Indo-Pacific	(-Inf,26]	-0.3505525	-0.3656041	-0.3398402
sal + phosphate	Indo-Pacific	(26,26.5]	-0.3699913	-0.3794816	-0.3620481
sal + phosphate	Indo-Pacific	(26.5,26.75]	-0.3411853	-0.3593941	-0.3305153
sal + phosphate	Indo-Pacific	(26.75,27]	-0.4416538	-0.4561928	-0.4325104
sal + phosphate	Indo-Pacific	(27,27.25]	-0.6095484	-0.6160071	-0.6050368
sal + phosphate	Indo-Pacific	(27.25,27.5]	-0.5923358	-0.6200244	-0.5613608
sal + phosphate	Indo-Pacific	(27.5,27.75]	-0.3865379	-0.3944588	-0.3788491
sal + phosphate	Indo-Pacific	(27.75,27.85]	-0.1341455	-0.1925001	-0.0775151
sal + phosphate	Indo-Pacific	(27.85,27.95]	-0.0629566	-0.0877967	-0.0296453
sal + phosphate	Indo-Pacific	(27.95,28.05]	0.1215669	0.0740255	0.1629947
sal + phosphate	Indo-Pacific	(28.05,28.1]	0.0385786	-0.0410303	0.0850452
sal + phosphate	Indo-Pacific	(28.1, Inf]	-0.5788052	-0.5804721	-0.5776558
sal + phosphate	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
sal + phosphate	SO	(26,26.5]	0.0389974	-0.0644630	0.1379441
sal + phosphate	SO	(26.5,26.75]	-0.5124691	-0.5901559	-0.4147439
sal + phosphate	SO	(26.75,27]	-0.7333130	-0.7478990	-0.7226798
sal + phosphate	SO	(27,27.25]	-0.7257829	-0.7398440	-0.7093439
sal + phosphate	SO	(27.25,27.5]	-0.1818818	-0.2146932	-0.1468174
sal + phosphate	SO	(27.5,27.75]	0.3299076	0.2800005	0.3850893
sal + phosphate	SO	(27.75,27.85]	0.7920582	0.7885912	0.7977638
sal + phosphate	SO	(27.85,27.95]	0.5914401	0.5526590	0.6561777
sal + phosphate	SO	(27.95,28.05]	0.4090351	0.3530071	0.4386785
sal + phosphate	SO	(28.05,28.1]	0.2529332	0.2113935	0.3276687
sal + phosphate	SO	(28.1, Inf]	0.5167675	0.4869949	0.5458871
sal + phosphate	SO	(28.1,28.15]	-0.7504395	-0.7779938	-0.7261578
sal + phosphate	SO	(28.15,28.2]	-0.8054217	-0.8554988	-0.7548394
sal + phosphate	SO	(28.2, Inf]	0.1243103	0.0713568	0.1533413
sal + phosphate_star	Atlantic	(-Inf,26]	-0.2329152	-0.2971674	-0.1166975
sal + phosphate_star	Atlantic	(26,26.5]	-0.8627340	-0.8802237	-0.8517334
sal + phosphate_star	Atlantic	(26.5,26.75]	-0.7723893	-0.7861101	-0.7471592
sal + phosphate_star	Atlantic	(26.75,27]	-0.7344341	-0.7476909	-0.7190289
sal + phosphate_star	Atlantic	(27,27.25]	-0.7294311	-0.7392804	-0.7182994
sal + phosphate_star	Atlantic	(27.25,27.5]	-0.7084501	-0.7396517	-0.6830558
sal + phosphate_star	Atlantic	(27.5,27.75]	-0.1951567	-0.2091653	-0.1719672
sal + phosphate_star	Atlantic	(27.75,27.85]	-0.4243765	-0.5455517	-0.3342416
sal + phosphate_star	Atlantic	(27.85,27.95]	-0.3916194	-0.4157469	-0.3751439
sal + phosphate_star	Atlantic	(27.95,28.05]	-0.4186256	-0.4536208	-0.3719557
sal + phosphate_star	Atlantic	(28.05,28.1]	-0.6861107	-0.7383130	-0.6106036
sal + phosphate_star	Atlantic	(28.1,28.15]	-0.8012288	-0.8452970	-0.7289374
sal + phosphate_star	Atlantic	(28.15,28.2]	-0.7305282	-0.7613421	-0.6799799
sal + phosphate_star	Atlantic	(28.2, Inf]	-0.9236507	-0.9417329	-0.9073489
sal + phosphate_star	Indo-Pacific	(-Inf,26]	-0.7050945	-0.7097142	-0.6992709
sal + phosphate_star	Indo-Pacific	(26,26.5]	-0.8614209	-0.8679498	-0.8568659
sal + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.8680254	-0.8822391	-0.8590234
sal + phosphate_star	Indo-Pacific	(26.75,27]	-0.8195080	-0.8331846	-0.8085060
sal + phosphate_star	Indo-Pacific	(27,27.25]	-0.8673830	-0.8715853	-0.8601481
sal + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.7976684	-0.8148994	-0.7662661
sal + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.6979463	-0.7077424	-0.6914873
sal + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.6956410	-0.7903183	-0.5860447
sal + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.6028346	-0.6394035	-0.5540771
sal + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.4928510	-0.5114248	-0.4824590
sal + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.5354003	-0.5910347	-0.5049405
sal + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.0154467	-0.0604143	0.0238362
sal + phosphate_star	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
sal + phosphate_star	SO	(26,26.5]	-0.8456828	-0.8605958	-0.8321552
sal + phosphate_star	SO	(26.5,26.75]	-0.9376052	-0.9430235	-0.9310846
sal + phosphate_star	SO	(26.75,27]	-0.9278458	-0.9358855	-0.9187496
sal + phosphate_star	SO	(27,27.25]	-0.9574629	-0.9617509	-0.9545277
sal + phosphate_star	SO	(27.25,27.5]	-0.9548612	-0.9563910	-0.9540207
sal + phosphate_star	SO	(27.5,27.75]	-0.9158307	-0.9165826	-0.9149816
sal + phosphate_star	SO	(27.75,27.85]	-0.9551958	-0.9554915	-0.9546799
sal + phosphate_star	SO	(27.85,27.95]	-0.9004635	-0.9053939	-0.8954173
sal + phosphate_star	SO	(27.95,28.05]	-0.8199770	-0.8369391	-0.8059189
sal + phosphate_star	SO	(28.05,28.1]	-0.9036575	-0.9084433	-0.9002712
sal + phosphate_star	SO	(28.1, Inf]	-0.0933453	-0.1108628	-0.0808049
sal + phosphate_star	SO	(28.1,28.15]	-0.9791597	-0.9808243	-0.9773619
sal + phosphate_star	SO	(28.15,28.2]	-0.9896464	-0.9930222	-0.9870722
sal + phosphate_star	SO	(28.2, Inf]	-0.2300783	-0.2540391	-0.2178680
sal + silicate	Atlantic	(-Inf,26]	-0.7669340	-0.7777704	-0.7519958
sal + silicate	Atlantic	(26,26.5]	0.1803494	0.1616263	0.1960893
sal + silicate	Atlantic	(26.5,26.75]	0.3232156	0.3122536	0.3329701
sal + silicate	Atlantic	(26.75,27]	0.0802821	0.0320438	0.1139627
sal + silicate	Atlantic	(27,27.25]	-0.2220215	-0.2509665	-0.1780166
sal + silicate	Atlantic	(27.25,27.5]	-0.3516819	-0.4135854	-0.2971202
sal + silicate	Atlantic	(27.5,27.75]	0.1791120	0.1551321	0.2031130
sal + silicate	Atlantic	(27.75,27.85]	-0.4231963	-0.5458883	-0.3267412
sal + silicate	Atlantic	(27.85,27.95]	-0.4375546	-0.5129548	-0.3197193
sal + silicate	Atlantic	(27.95,28.05]	-0.5901524	-0.6127805	-0.5551849
sal + silicate	Atlantic	(28.05,28.1]	-0.7945306	-0.8505520	-0.7261215
sal + silicate	Atlantic	(28.1,28.15]	-0.8174708	-0.8599697	-0.7504078
sal + silicate	Atlantic	(28.15,28.2]	-0.6153579	-0.6257561	-0.5961920
sal + silicate	Atlantic	(28.2, Inf]	-0.8779640	-0.8826799	-0.8737012
sal + silicate	Indo-Pacific	(-Inf,26]	-0.5418563	-0.5543112	-0.5335434
sal + silicate	Indo-Pacific	(26,26.5]	-0.5829674	-0.5907030	-0.5763317
sal + silicate	Indo-Pacific	(26.5,26.75]	-0.6174419	-0.6341053	-0.6064393
sal + silicate	Indo-Pacific	(26.75,27]	-0.6469758	-0.6563496	-0.6398142
sal + silicate	Indo-Pacific	(27,27.25]	-0.7597310	-0.7599037	-0.7595435
sal + silicate	Indo-Pacific	(27.25,27.5]	-0.7203323	-0.7414605	-0.6930067
sal + silicate	Indo-Pacific	(27.5,27.75]	-0.5044448	-0.5100756	-0.4988854
sal + silicate	Indo-Pacific	(27.75,27.85]	-0.2400450	-0.2974226	-0.1647523
sal + silicate	Indo-Pacific	(27.85,27.95]	-0.1209050	-0.1501253	-0.0794569
sal + silicate	Indo-Pacific	(27.95,28.05]	0.0807874	0.0255250	0.1309714
sal + silicate	Indo-Pacific	(28.05,28.1]	0.0358927	-0.0449242	0.0860977
sal + silicate	Indo-Pacific	(28.1, Inf]	-0.0469526	-0.0751384	-0.0271964
sal + silicate	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
sal + silicate	SO	(26,26.5]	0.6204667	0.4595240	0.7482592
sal + silicate	SO	(26.5,26.75]	0.3163606	0.2760099	0.3512905
sal + silicate	SO	(26.75,27]	-0.1699848	-0.2091465	-0.1443209
sal + silicate	SO	(27,27.25]	-0.4588982	-0.4885133	-0.4252344
sal + silicate	SO	(27.25,27.5]	-0.0897531	-0.1296258	-0.0465485
sal + silicate	SO	(27.5,27.75]	0.3676762	0.3234736	0.4189676
sal + silicate	SO	(27.75,27.85]	0.8046175	0.7960329	0.8129865
sal + silicate	SO	(27.85,27.95]	0.7076498	0.6842397	0.7513066
sal + silicate	SO	(27.95,28.05]	0.6053289	0.5684610	0.6250552
sal + silicate	SO	(28.05,28.1]	0.5908175	0.5573513	0.6365862
sal + silicate	SO	(28.1, Inf]	0.8473838	0.8356151	0.8576653
sal + silicate	SO	(28.1,28.15]	-0.1936003	-0.2416722	-0.1664029
sal + silicate	SO	(28.15,28.2]	-0.1494550	-0.2988725	-0.0077580
sal + silicate	SO	(28.2, Inf]	0.5638549	0.5422607	0.5857298
sal + temp	Atlantic	(-Inf,26]	0.6533306	0.6235546	0.6773337
sal + temp	Atlantic	(26,26.5]	0.9565719	0.9526921	0.9594593
sal + temp	Atlantic	(26.5,26.75]	0.9662763	0.9634446	0.9699616
sal + temp	Atlantic	(26.75,27]	0.9686322	0.9683305	0.9691701
sal + temp	Atlantic	(27,27.25]	0.9584872	0.9582919	0.9587527
sal + temp	Atlantic	(27.25,27.5]	0.9570598	0.9563156	0.9575319
sal + temp	Atlantic	(27.5,27.75]	0.9672775	0.9667370	0.9676895
sal + temp	Atlantic	(27.75,27.85]	0.9596647	0.9574954	0.9615607
sal + temp	Atlantic	(27.85,27.95]	0.9336937	0.9267328	0.9401429
sal + temp	Atlantic	(27.95,28.05]	0.8403765	0.8272601	0.8665930
sal + temp	Atlantic	(28.05,28.1]	0.8781393	0.8579123	0.9004742
sal + temp	Atlantic	(28.1,28.15]	0.8002204	0.7722726	0.8254436
sal + temp	Atlantic	(28.15,28.2]	0.7178624	0.7004416	0.7285286
sal + temp	Atlantic	(28.2, Inf]	0.9251484	0.9155484	0.9357193
sal + temp	Indo-Pacific	(-Inf,26]	0.8190877	0.8173698	0.8205515
sal + temp	Indo-Pacific	(26,26.5]	0.9535674	0.9512585	0.9547487
sal + temp	Indo-Pacific	(26.5,26.75]	0.9805070	0.9798152	0.9811200
sal + temp	Indo-Pacific	(26.75,27]	0.9803046	0.9793833	0.9810746
sal + temp	Indo-Pacific	(27,27.25]	0.9749618	0.9736847	0.9757231
sal + temp	Indo-Pacific	(27.25,27.5]	0.9365888	0.9347842	0.9385381
sal + temp	Indo-Pacific	(27.5,27.75]	0.8249552	0.8091486	0.8441807
sal + temp	Indo-Pacific	(27.75,27.85]	0.9280530	0.9095442	0.9413386
sal + temp	Indo-Pacific	(27.85,27.95]	0.7900802	0.7622917	0.8098967
sal + temp	Indo-Pacific	(27.95,28.05]	0.8411238	0.8110842	0.8604392
sal + temp	Indo-Pacific	(28.05,28.1]	0.9412624	0.9382396	0.9446468
sal + temp	Indo-Pacific	(28.1, Inf]	-0.5004058	-0.5230961	-0.4650643
sal + temp	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
sal + temp	SO	(26,26.5]	0.9253544	0.9144081	0.9428252
sal + temp	SO	(26.5,26.75]	0.9663971	0.9643662	0.9681611
sal + temp	SO	(26.75,27]	0.9625478	0.9598182	0.9667752
sal + temp	SO	(27,27.25]	0.9525604	0.9505995	0.9548761
sal + temp	SO	(27.25,27.5]	0.9410884	0.9393153	0.9436871
sal + temp	SO	(27.5,27.75]	0.8727513	0.8660788	0.8762924
sal + temp	SO	(27.75,27.85]	0.9544624	0.9536115	0.9557704
sal + temp	SO	(27.85,27.95]	0.9348955	0.9345990	0.9351236
sal + temp	SO	(27.95,28.05]	0.9142030	0.9121067	0.9171093
sal + temp	SO	(28.05,28.1]	0.9546003	0.9540380	0.9550891
sal + temp	SO	(28.1, Inf]	0.3640570	0.3433267	0.3900687
sal + temp	SO	(28.1,28.15]	0.9571601	0.9536838	0.9605344
sal + temp	SO	(28.15,28.2]	0.9649285	0.9612956	0.9708613
sal + temp	SO	(28.2, Inf]	0.7239951	0.7166667	0.7331550
silicate + phosphate	Atlantic	(-Inf,26]	-0.1157788	-0.1876232	0.0065717
silicate + phosphate	Atlantic	(26,26.5]	0.0312799	-0.0165294	0.0666815
silicate + phosphate	Atlantic	(26.5,26.75]	0.5715816	0.5224663	0.6056699
silicate + phosphate	Atlantic	(26.75,27]	0.8338650	0.8271776	0.8376842
silicate + phosphate	Atlantic	(27,27.25]	0.9134206	0.9094563	0.9155563
silicate + phosphate	Atlantic	(27.25,27.5]	0.9168184	0.9134171	0.9202121
silicate + phosphate	Atlantic	(27.5,27.75]	0.9183519	0.9168414	0.9204720
silicate + phosphate	Atlantic	(27.75,27.85]	0.8872821	0.8840766	0.8913032
silicate + phosphate	Atlantic	(27.85,27.95]	0.8973116	0.8922754	0.9059102
silicate + phosphate	Atlantic	(27.95,28.05]	0.9248949	0.9145868	0.9308212
silicate + phosphate	Atlantic	(28.05,28.1]	0.9541847	0.9463049	0.9604016
silicate + phosphate	Atlantic	(28.1,28.15]	0.9650424	0.9574837	0.9709398
silicate + phosphate	Atlantic	(28.15,28.2]	0.9622705	0.9584572	0.9654855
silicate + phosphate	Atlantic	(28.2, Inf]	0.9738359	0.9731135	0.9742398
silicate + phosphate	Indo-Pacific	(-Inf,26]	0.8851061	0.8805735	0.8875389
silicate + phosphate	Indo-Pacific	(26,26.5]	0.8748655	0.8729665	0.8760936
silicate + phosphate	Indo-Pacific	(26.5,26.75]	0.8453320	0.8419179	0.8475234
silicate + phosphate	Indo-Pacific	(26.75,27]	0.8923695	0.8915546	0.8934648
silicate + phosphate	Indo-Pacific	(27,27.25]	0.9193009	0.9144096	0.9239927
silicate + phosphate	Indo-Pacific	(27.25,27.5]	0.9332315	0.9302926	0.9376766
silicate + phosphate	Indo-Pacific	(27.5,27.75]	0.9355536	0.9337733	0.9369123
silicate + phosphate	Indo-Pacific	(27.75,27.85]	0.9492528	0.9467020	0.9507147
silicate + phosphate	Indo-Pacific	(27.85,27.95]	0.9479366	0.9445932	0.9533710
silicate + phosphate	Indo-Pacific	(27.95,28.05]	0.9745706	0.9726242	0.9772008
silicate + phosphate	Indo-Pacific	(28.05,28.1]	0.9742488	0.9738281	0.9747927
silicate + phosphate	Indo-Pacific	(28.1, Inf]	0.7269811	0.7203424	0.7364139
silicate + phosphate	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
silicate + phosphate	SO	(26,26.5]	0.7435416	0.7228747	0.7763607
silicate + phosphate	SO	(26.5,26.75]	0.5785924	0.5329189	0.6407807
silicate + phosphate	SO	(26.75,27]	0.7442102	0.7323342	0.7568387
silicate + phosphate	SO	(27,27.25]	0.9052113	0.8996011	0.9100802
silicate + phosphate	SO	(27.25,27.5]	0.9631869	0.9609494	0.9644196
silicate + phosphate	SO	(27.5,27.75]	0.9722603	0.9713180	0.9734819
silicate + phosphate	SO	(27.75,27.85]	0.9782559	0.9769695	0.9789458
silicate + phosphate	SO	(27.85,27.95]	0.9654005	0.9628346	0.9692726
silicate + phosphate	SO	(27.95,28.05]	0.9463964	0.9423536	0.9502972
silicate + phosphate	SO	(28.05,28.1]	0.9061834	0.8993669	0.9145274
silicate + phosphate	SO	(28.1, Inf]	0.7298073	0.7233461	0.7342652
silicate + phosphate	SO	(28.1,28.15]	0.7591759	0.7427827	0.7699637
silicate + phosphate	SO	(28.15,28.2]	0.6786951	0.6332386	0.7278439
silicate + phosphate	SO	(28.2, Inf]	0.8667968	0.8538872	0.8821973
silicate + phosphate_star	Atlantic	(-Inf,26]	-0.1742171	-0.2861979	-0.0974407
silicate + phosphate_star	Atlantic	(26,26.5]	-0.3142300	-0.3449698	-0.2624142
silicate + phosphate_star	Atlantic	(26.5,26.75]	0.0321288	-0.0334706	0.0784314
silicate + phosphate_star	Atlantic	(26.75,27]	0.4255420	0.3899624	0.4813839
silicate + phosphate_star	Atlantic	(27,27.25]	0.7781186	0.7601424	0.7883370
silicate + phosphate_star	Atlantic	(27.25,27.5]	0.8947773	0.8856436	0.9036908
silicate + phosphate_star	Atlantic	(27.5,27.75]	0.9168563	0.9110543	0.9227090
silicate + phosphate_star	Atlantic	(27.75,27.85]	0.9896360	0.9886293	0.9903320
silicate + phosphate_star	Atlantic	(27.85,27.95]	0.9748957	0.9641188	0.9813478
silicate + phosphate_star	Atlantic	(27.95,28.05]	0.9692713	0.9665289	0.9713335
silicate + phosphate_star	Atlantic	(28.05,28.1]	0.9709458	0.9667751	0.9739939
silicate + phosphate_star	Atlantic	(28.1,28.15]	0.9661234	0.9593451	0.9719019
silicate + phosphate_star	Atlantic	(28.15,28.2]	0.9681833	0.9674301	0.9695907
silicate + phosphate_star	Atlantic	(28.2, Inf]	0.9822598	0.9810538	0.9840255
silicate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7734780	0.7630648	0.7836497
silicate + phosphate_star	Indo-Pacific	(26,26.5]	0.7829838	0.7816174	0.7841321
silicate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.8110798	0.8061945	0.8175318
silicate + phosphate_star	Indo-Pacific	(26.75,27]	0.8348379	0.8300980	0.8409703
silicate + phosphate_star	Indo-Pacific	(27,27.25]	0.8623238	0.8522826	0.8718634
silicate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.7994949	0.7840120	0.8178605
silicate + phosphate_star	Indo-Pacific	(27.5,27.75]	0.6825514	0.6678571	0.6912948
silicate + phosphate_star	Indo-Pacific	(27.75,27.85]	0.5616181	0.5182074	0.5844730
silicate + phosphate_star	Indo-Pacific	(27.85,27.95]	0.6025671	0.5993404	0.6045361
silicate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.6044591	0.6007478	0.6098123
silicate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.6747962	0.6673768	0.6840289
silicate + phosphate_star	Indo-Pacific	(28.1, Inf]	0.6511787	0.6156830	0.6734570
silicate + phosphate_star	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
silicate + phosphate_star	SO	(26,26.5]	-0.4452193	-0.5575338	-0.3144109
silicate + phosphate_star	SO	(26.5,26.75]	-0.2003185	-0.2285535	-0.1772819
silicate + phosphate_star	SO	(26.75,27]	0.2717778	0.2393727	0.3180243
silicate + phosphate_star	SO	(27,27.25]	0.4952783	0.4567730	0.5294918
silicate + phosphate_star	SO	(27.25,27.5]	0.2507493	0.2172805	0.2765837
silicate + phosphate_star	SO	(27.5,27.75]	-0.0436931	-0.0891425	-0.0047610
silicate + phosphate_star	SO	(27.75,27.85]	-0.6607918	-0.6700842	-0.6522328
silicate + phosphate_star	SO	(27.85,27.95]	-0.4815208	-0.5242081	-0.4583052
silicate + phosphate_star	SO	(27.95,28.05]	-0.3772563	-0.3904612	-0.3558324
silicate + phosphate_star	SO	(28.05,28.1]	-0.4594895	-0.4968123	-0.4405046
silicate + phosphate_star	SO	(28.1, Inf]	0.3368783	0.3170761	0.3700660
silicate + phosphate_star	SO	(28.1,28.15]	0.1146707	0.0838405	0.1591610
silicate + phosphate_star	SO	(28.15,28.2]	0.1243141	-0.0210332	0.2932344
silicate + phosphate_star	SO	(28.2, Inf]	0.6239912	0.6136326	0.6301917
temp + aou	Atlantic	(-Inf,26]	-0.6733863	-0.6914021	-0.6483187
temp + aou	Atlantic	(26,26.5]	-0.4097986	-0.4145166	-0.4073586
temp + aou	Atlantic	(26.5,26.75]	0.1314457	0.1158870	0.1425167
temp + aou	Atlantic	(26.75,27]	0.3130653	0.3066685	0.3228667
temp + aou	Atlantic	(27,27.25]	0.1823170	0.1506106	0.2252120
temp + aou	Atlantic	(27.25,27.5]	0.0865435	0.0331791	0.1270934
temp + aou	Atlantic	(27.5,27.75]	0.4966595	0.4762303	0.5204460
temp + aou	Atlantic	(27.75,27.85]	0.2407919	0.1484521	0.3326155
temp + aou	Atlantic	(27.85,27.95]	0.1065968	0.0637508	0.1603961
temp + aou	Atlantic	(27.95,28.05]	-0.1435154	-0.2063226	-0.0510821
temp + aou	Atlantic	(28.05,28.1]	-0.4658679	-0.5334446	-0.4022501
temp + aou	Atlantic	(28.1,28.15]	-0.6318001	-0.6792689	-0.5818650
temp + aou	Atlantic	(28.15,28.2]	-0.7809600	-0.7975363	-0.7520533
temp + aou	Atlantic	(28.2, Inf]	-0.9095898	-0.9248683	-0.8848088
temp + aou	Indo-Pacific	(-Inf,26]	-0.3830602	-0.3951913	-0.3718747
temp + aou	Indo-Pacific	(26,26.5]	-0.2060168	-0.2108555	-0.1994796
temp + aou	Indo-Pacific	(26.5,26.75]	-0.1432157	-0.1549900	-0.1321221
temp + aou	Indo-Pacific	(26.75,27]	-0.2740872	-0.2808927	-0.2641162
temp + aou	Indo-Pacific	(27,27.25]	-0.5084220	-0.5205097	-0.5015456
temp + aou	Indo-Pacific	(27.25,27.5]	-0.5187165	-0.5536489	-0.4928681
temp + aou	Indo-Pacific	(27.5,27.75]	-0.2743130	-0.2960300	-0.2621784
temp + aou	Indo-Pacific	(27.75,27.85]	-0.0564237	-0.1130843	-0.0217171
temp + aou	Indo-Pacific	(27.85,27.95]	-0.0063035	-0.0248225	0.0167522
temp + aou	Indo-Pacific	(27.95,28.05]	0.1292643	0.0533028	0.2096755
temp + aou	Indo-Pacific	(28.05,28.1]	0.1703273	0.0922909	0.2333558
temp + aou	Indo-Pacific	(28.1, Inf]	0.7024750	0.6991390	0.7049448
temp + aou	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
temp + aou	SO	(26,26.5]	0.5281786	0.4324061	0.6074109
temp + aou	SO	(26.5,26.75]	0.1279615	0.0958744	0.1835092
temp + aou	SO	(26.75,27]	-0.2431918	-0.2816431	-0.2106132
temp + aou	SO	(27,27.25]	-0.1514971	-0.1767120	-0.1131604
temp + aou	SO	(27.25,27.5]	0.2930186	0.2725126	0.3221551
temp + aou	SO	(27.5,27.75]	0.3796147	0.3431545	0.4075778
temp + aou	SO	(27.75,27.85]	0.8235080	0.8153728	0.8374707
temp + aou	SO	(27.85,27.95]	0.7591300	0.7513041	0.7660662
temp + aou	SO	(27.95,28.05]	0.7973759	0.7905913	0.8021778
temp + aou	SO	(28.05,28.1]	0.7731752	0.7655103	0.7884998
temp + aou	SO	(28.1, Inf]	0.7549066	0.7518799	0.7599500
temp + aou	SO	(28.1,28.15]	0.4513072	0.4366988	0.4740686
temp + aou	SO	(28.15,28.2]	0.3357670	0.2100123	0.4385005
temp + aou	SO	(28.2, Inf]	0.1889244	0.1421327	0.2222548
temp + nitrate	Atlantic	(-Inf,26]	-0.7482582	-0.7592554	-0.7263534
temp + nitrate	Atlantic	(26,26.5]	-0.4400535	-0.4534984	-0.4173199
temp + nitrate	Atlantic	(26.5,26.75]	0.0688962	0.0544811	0.0817842
temp + nitrate	Atlantic	(26.75,27]	0.2403853	0.2209318	0.2583645
temp + nitrate	Atlantic	(27,27.25]	0.0597976	0.0255652	0.1048551
temp + nitrate	Atlantic	(27.25,27.5]	-0.0737689	-0.1354558	-0.0214788
temp + nitrate	Atlantic	(27.5,27.75]	0.4037546	0.3758399	0.4290788
temp + nitrate	Atlantic	(27.75,27.85]	-0.0235039	-0.1487670	0.0869483
temp + nitrate	Atlantic	(27.85,27.95]	-0.1181575	-0.1535124	-0.0854456
temp + nitrate	Atlantic	(27.95,28.05]	-0.2350123	-0.2971105	-0.1459900
temp + nitrate	Atlantic	(28.05,28.1]	-0.4601423	-0.5225035	-0.3843464
temp + nitrate	Atlantic	(28.1,28.15]	-0.6120587	-0.6726039	-0.5328376
temp + nitrate	Atlantic	(28.15,28.2]	-0.8041330	-0.8422586	-0.7455761
temp + nitrate	Atlantic	(28.2, Inf]	-0.8876493	-0.9218383	-0.8398887
temp + nitrate	Indo-Pacific	(-Inf,26]	-0.5305205	-0.5385672	-0.5236256
temp + nitrate	Indo-Pacific	(26,26.5]	-0.4455302	-0.4549086	-0.4383293
temp + nitrate	Indo-Pacific	(26.5,26.75]	-0.4049992	-0.4263322	-0.3875916
temp + nitrate	Indo-Pacific	(26.75,27]	-0.4793227	-0.4892870	-0.4722232
temp + nitrate	Indo-Pacific	(27,27.25]	-0.6933333	-0.6970914	-0.6907390
temp + nitrate	Indo-Pacific	(27.25,27.5]	-0.6689447	-0.6933016	-0.6420710
temp + nitrate	Indo-Pacific	(27.5,27.75]	-0.4735946	-0.4943470	-0.4592803
temp + nitrate	Indo-Pacific	(27.75,27.85]	-0.1564923	-0.2248273	-0.0908338
temp + nitrate	Indo-Pacific	(27.85,27.95]	-0.1246231	-0.1591115	-0.0731584
temp + nitrate	Indo-Pacific	(27.95,28.05]	0.0107848	-0.0686774	0.0965995
temp + nitrate	Indo-Pacific	(28.05,28.1]	0.0496447	-0.0317988	0.1203715
temp + nitrate	Indo-Pacific	(28.1, Inf]	0.6235825	0.6210006	0.6249533
temp + nitrate	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
temp + nitrate	SO	(26,26.5]	0.1051636	0.0172988	0.1867369
temp + nitrate	SO	(26.5,26.75]	-0.4334427	-0.5015329	-0.3335249
temp + nitrate	SO	(26.75,27]	-0.6942514	-0.7035281	-0.6891034
temp + nitrate	SO	(27,27.25]	-0.7032313	-0.7219752	-0.6815718
temp + nitrate	SO	(27.25,27.5]	-0.3554500	-0.3751731	-0.3293643
temp + nitrate	SO	(27.5,27.75]	-0.0879953	-0.1321999	-0.0448943
temp + nitrate	SO	(27.75,27.85]	0.6839564	0.6728775	0.6935668
temp + nitrate	SO	(27.85,27.95]	0.4979463	0.4754245	0.5375251
temp + nitrate	SO	(27.95,28.05]	0.4097314	0.3707494	0.4415767
temp + nitrate	SO	(28.05,28.1]	0.2641878	0.2242890	0.3366905
temp + nitrate	SO	(28.1, Inf]	0.5085380	0.4925825	0.5237384
temp + nitrate	SO	(28.1,28.15]	-0.7205673	-0.7441545	-0.6940122
temp + nitrate	SO	(28.15,28.2]	-0.7816752	-0.8374415	-0.7438546
temp + nitrate	SO	(28.2, Inf]	-0.6110612	-0.6486247	-0.5917992
temp + phosphate	Atlantic	(-Inf,26]	-0.6918321	-0.7247040	-0.6500240
temp + phosphate	Atlantic	(26,26.5]	-0.6334620	-0.6462491	-0.6227457
temp + phosphate	Atlantic	(26.5,26.75]	-0.0859977	-0.1120380	-0.0645145
temp + phosphate	Atlantic	(26.75,27]	0.1354064	0.1146338	0.1522285
temp + phosphate	Atlantic	(27,27.25]	-0.0385189	-0.0711735	0.0067604
temp + phosphate	Atlantic	(27.25,27.5]	-0.1398687	-0.1979070	-0.0881682
temp + phosphate	Atlantic	(27.5,27.75]	0.3436147	0.3159160	0.3671819
temp + phosphate	Atlantic	(27.75,27.85]	-0.0710414	-0.1980443	0.0396740
temp + phosphate	Atlantic	(27.85,27.95]	-0.1586829	-0.1978420	-0.1315882
temp + phosphate	Atlantic	(27.95,28.05]	-0.2651250	-0.3267589	-0.1813642
temp + phosphate	Atlantic	(28.05,28.1]	-0.4870047	-0.5473926	-0.4097376
temp + phosphate	Atlantic	(28.1,28.15]	-0.6340712	-0.6911571	-0.5537086
temp + phosphate	Atlantic	(28.15,28.2]	-0.8254022	-0.8667150	-0.7659474
temp + phosphate	Atlantic	(28.2, Inf]	-0.8872822	-0.9222750	-0.8401683
temp + phosphate	Indo-Pacific	(-Inf,26]	-0.5010821	-0.5112464	-0.4928823
temp + phosphate	Indo-Pacific	(26,26.5]	-0.4271007	-0.4302250	-0.4236534
temp + phosphate	Indo-Pacific	(26.5,26.75]	-0.3284189	-0.3467266	-0.3187301
temp + phosphate	Indo-Pacific	(26.75,27]	-0.4071891	-0.4197628	-0.3982478
temp + phosphate	Indo-Pacific	(27,27.25]	-0.6093781	-0.6133925	-0.6068409
temp + phosphate	Indo-Pacific	(27.25,27.5]	-0.6114918	-0.6453965	-0.5801695
temp + phosphate	Indo-Pacific	(27.5,27.75]	-0.3933362	-0.4091251	-0.3852096
temp + phosphate	Indo-Pacific	(27.75,27.85]	-0.1190387	-0.1863765	-0.0741308
temp + phosphate	Indo-Pacific	(27.85,27.95]	-0.0786559	-0.1017576	-0.0446244
temp + phosphate	Indo-Pacific	(27.95,28.05]	0.0826778	0.0032248	0.1656762
temp + phosphate	Indo-Pacific	(28.05,28.1]	0.1377601	0.0585427	0.2024862
temp + phosphate	Indo-Pacific	(28.1, Inf]	0.6663109	0.6624386	0.6690760
temp + phosphate	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
temp + phosphate	SO	(26,26.5]	-0.0100021	-0.1201877	0.0910406
temp + phosphate	SO	(26.5,26.75]	-0.5089559	-0.5772007	-0.4086389
temp + phosphate	SO	(26.75,27]	-0.7226971	-0.7364804	-0.7130307
temp + phosphate	SO	(27,27.25]	-0.7173271	-0.7347108	-0.6961070
temp + phosphate	SO	(27.25,27.5]	-0.3789735	-0.3983064	-0.3520098
temp + phosphate	SO	(27.5,27.75]	-0.0862354	-0.1312466	-0.0419570
temp + phosphate	SO	(27.75,27.85]	0.6814655	0.6702783	0.6893898
temp + phosphate	SO	(27.85,27.95]	0.5075506	0.4851209	0.5465840
temp + phosphate	SO	(27.95,28.05]	0.4115954	0.3716892	0.4420314
temp + phosphate	SO	(28.05,28.1]	0.3018646	0.2626663	0.3723827
temp + phosphate	SO	(28.1, Inf]	0.4661118	0.4412484	0.4818106
temp + phosphate	SO	(28.1,28.15]	-0.7004786	-0.7259781	-0.6719501
temp + phosphate	SO	(28.15,28.2]	-0.7559058	-0.8203874	-0.7111312
temp + phosphate	SO	(28.2, Inf]	-0.4234536	-0.4683969	-0.3986551
temp + phosphate_star	Atlantic	(-Inf,26]	-0.6719841	-0.7125632	-0.6156451
temp + phosphate_star	Atlantic	(26,26.5]	-0.8529021	-0.8672778	-0.8427233
temp + phosphate_star	Atlantic	(26.5,26.75]	-0.7966981	-0.8081554	-0.7808289
temp + phosphate_star	Atlantic	(26.75,27]	-0.7717739	-0.7851206	-0.7642905
temp + phosphate_star	Atlantic	(27,27.25]	-0.7257090	-0.7369163	-0.7114524
temp + phosphate_star	Atlantic	(27.25,27.5]	-0.6509867	-0.6822695	-0.6210365
temp + phosphate_star	Atlantic	(27.5,27.75]	-0.1998434	-0.2149288	-0.1802157
temp + phosphate_star	Atlantic	(27.75,27.85]	-0.4341280	-0.5438144	-0.3449253
temp + phosphate_star	Atlantic	(27.85,27.95]	-0.4477154	-0.4654565	-0.4385847
temp + phosphate_star	Atlantic	(27.95,28.05]	-0.4374309	-0.4862630	-0.3722416
temp + phosphate_star	Atlantic	(28.05,28.1]	-0.5612880	-0.6107415	-0.4814917
temp + phosphate_star	Atlantic	(28.1,28.15]	-0.6724555	-0.7303516	-0.5795127
temp + phosphate_star	Atlantic	(28.15,28.2]	-0.8674894	-0.9213437	-0.7922542
temp + phosphate_star	Atlantic	(28.2, Inf]	-0.8941120	-0.9325525	-0.8442358
temp + phosphate_star	Indo-Pacific	(-Inf,26]	-0.8438412	-0.8472835	-0.8409607
temp + phosphate_star	Indo-Pacific	(26,26.5]	-0.9092677	-0.9117550	-0.9072789
temp + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.8730956	-0.8876048	-0.8621876
temp + phosphate_star	Indo-Pacific	(26.75,27]	-0.8257248	-0.8396475	-0.8134917
temp + phosphate_star	Indo-Pacific	(27,27.25]	-0.8960679	-0.9019261	-0.8853435
temp + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.8804462	-0.8994037	-0.8532789
temp + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.8718951	-0.8811399	-0.8659278
temp + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.7454933	-0.8071571	-0.6399167
temp + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.7871497	-0.8141997	-0.7377429
temp + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.6364889	-0.6980515	-0.5817488
temp + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.4648807	-0.5197381	-0.4164216
temp + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.4222469	-0.4337712	-0.4120897
temp + phosphate_star	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
temp + phosphate_star	SO	(26,26.5]	-0.9493149	-0.9509019	-0.9465009
temp + phosphate_star	SO	(26.5,26.75]	-0.9633927	-0.9655474	-0.9592458
temp + phosphate_star	SO	(26.75,27]	-0.9528169	-0.9585216	-0.9441082
temp + phosphate_star	SO	(27,27.25]	-0.9795482	-0.9819450	-0.9779084
temp + phosphate_star	SO	(27.25,27.5]	-0.9911875	-0.9915726	-0.9909095
temp + phosphate_star	SO	(27.5,27.75]	-0.9775983	-0.9783490	-0.9761782
temp + phosphate_star	SO	(27.75,27.85]	-0.9579754	-0.9591994	-0.9561139
temp + phosphate_star	SO	(27.85,27.95]	-0.9250941	-0.9275512	-0.9228300
temp + phosphate_star	SO	(27.95,28.05]	-0.8953456	-0.9015184	-0.8879317
temp + phosphate_star	SO	(28.05,28.1]	-0.9039162	-0.9082311	-0.8988613
temp + phosphate_star	SO	(28.1, Inf]	-0.7503698	-0.7570953	-0.7427749
temp + phosphate_star	SO	(28.1,28.15]	-0.9680183	-0.9697493	-0.9649681
temp + phosphate_star	SO	(28.15,28.2]	-0.9789662	-0.9814042	-0.9766625
temp + phosphate_star	SO	(28.2, Inf]	-0.7526272	-0.7663366	-0.7443592
temp + silicate	Atlantic	(-Inf,26]	-0.3580813	-0.3998136	-0.3253640
temp + silicate	Atlantic	(26,26.5]	0.1285558	0.1202236	0.1385122
temp + silicate	Atlantic	(26.5,26.75]	0.2134411	0.2007929	0.2273588
temp + silicate	Atlantic	(26.75,27]	-0.0541853	-0.0977492	-0.0174784
temp + silicate	Atlantic	(27,27.25]	-0.2460208	-0.2731124	-0.2036672
temp + silicate	Atlantic	(27.25,27.5]	-0.2807974	-0.3389158	-0.2228649
temp + silicate	Atlantic	(27.5,27.75]	0.1846620	0.1538708	0.2048963
temp + silicate	Atlantic	(27.75,27.85]	-0.4159396	-0.5276654	-0.3195311
temp + silicate	Atlantic	(27.85,27.95]	-0.4750236	-0.5292508	-0.3956626
temp + silicate	Atlantic	(27.95,28.05]	-0.5736892	-0.6245089	-0.5218547
temp + silicate	Atlantic	(28.05,28.1]	-0.6928270	-0.7345049	-0.6162228
temp + silicate	Atlantic	(28.1,28.15]	-0.7426930	-0.7917265	-0.6577502
temp + silicate	Atlantic	(28.15,28.2]	-0.8457573	-0.8828049	-0.7952907
temp + silicate	Atlantic	(28.2, Inf]	-0.9030689	-0.9264215	-0.8713150
temp + silicate	Indo-Pacific	(-Inf,26]	-0.6048900	-0.6117568	-0.5975855
temp + silicate	Indo-Pacific	(26,26.5]	-0.6135696	-0.6190287	-0.6068865
temp + silicate	Indo-Pacific	(26.5,26.75]	-0.6113894	-0.6284165	-0.6022424
temp + silicate	Indo-Pacific	(26.75,27]	-0.6247139	-0.6320998	-0.6196816
temp + silicate	Indo-Pacific	(27,27.25]	-0.7722213	-0.7743296	-0.7683464
temp + silicate	Indo-Pacific	(27.25,27.5]	-0.7541392	-0.7807647	-0.7262357
temp + silicate	Indo-Pacific	(27.5,27.75]	-0.5742257	-0.5864652	-0.5653812
temp + silicate	Indo-Pacific	(27.75,27.85]	-0.2647697	-0.3291986	-0.2103070
temp + silicate	Indo-Pacific	(27.85,27.95]	-0.2386994	-0.2758684	-0.1963652
temp + silicate	Indo-Pacific	(27.95,28.05]	0.0187363	-0.0748315	0.1123466
temp + silicate	Indo-Pacific	(28.05,28.1]	0.1027441	0.0235500	0.1720473
temp + silicate	Indo-Pacific	(28.1, Inf]	0.1409893	0.1300109	0.1615497
temp + silicate	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
temp + silicate	SO	(26,26.5]	0.5508802	0.3942246	0.6889039
temp + silicate	SO	(26.5,26.75]	0.2992356	0.2648464	0.3393535
temp + silicate	SO	(26.75,27]	-0.2039885	-0.2396747	-0.1737471
temp + silicate	SO	(27,27.25]	-0.5026900	-0.5378647	-0.4634007
temp + silicate	SO	(27.25,27.5]	-0.3132133	-0.3407735	-0.2757653
temp + silicate	SO	(27.5,27.75]	-0.0405582	-0.0796235	0.0016670
temp + silicate	SO	(27.75,27.85]	0.7001339	0.6911402	0.7062566
temp + silicate	SO	(27.85,27.95]	0.6201843	0.6094886	0.6410322
temp + silicate	SO	(27.95,28.05]	0.5683562	0.5436029	0.5887406
temp + silicate	SO	(28.05,28.1]	0.6335598	0.6039313	0.6754715
temp + silicate	SO	(28.1, Inf]	0.1576285	0.1191328	0.1908147
temp + silicate	SO	(28.1,28.15]	-0.1076865	-0.1502290	-0.0822094
temp + silicate	SO	(28.15,28.2]	-0.0743624	-0.2384481	0.0511678
temp + silicate	SO	(28.2, Inf]	-0.0223109	-0.0424660	-0.0052751

rm(cor_predictors, cor_predictors_stats)

2.2.3 C* vs individual predictors

Below, the range of correlations coefficients for C* with each predictor is plotted per basin (facet) and density slab (color). Note that the range indicates the min and max values of in total 3 calculated coefficients (one per era).

cor_target_predictor <- cor_target_predictor %>% 
  rename(predictor = term)

# calculate min, max, mean across all eras
cor_target_predictor_stats <- cor_target_predictor %>%
  select(-era) %>% 
  group_by(predictor, basin, gamma_slab) %>% 
  summarise_all(list(mean_r = mean, min_r = min, max_r = max)) %>% 
  ungroup()

# plot figure
cor_target_predictor_stats %>% 
  mutate(predictor = reorder(predictor, mean_r)) %>%
  ggplot() +
  geom_vline(xintercept = c(-0.9, 0.9), col = "red") +
  geom_vline(xintercept = 0) +
  geom_linerange(
    aes(y = predictor, xmin = min_r, xmax = max_r, col = gamma_slab),
    position = position_dodge(width = 0.6)) +
  facet_wrap(~basin) +
  scale_color_viridis_d(direction = -1) +
  labs(x = "correlation coefficient", y = "C* correlation with...") +
  theme(legend.position = "top")

Version	Author	Date
bf19764	Donghe-Zhu	2021-03-22
3ec9d3d	Donghe-Zhu	2021-03-22
134ace1	Donghe-Zhu	2021-03-22
f6d70a4	Donghe-Zhu	2021-03-22
183443b	Donghe-Zhu	2021-03-21
2e6976b	Donghe-Zhu	2021-03-21
51a42bd	Donghe-Zhu	2021-03-16
f745381	Donghe-Zhu	2021-03-16
aecbf75	Donghe-Zhu	2021-03-14
1b2a0c2	Donghe-Zhu	2021-03-14
6733e48	Donghe-Zhu	2021-03-12
ba71e6a	Donghe-Zhu	2021-03-12
9dbf5bd	Donghe-Zhu	2021-03-11
a49df30	Donghe-Zhu	2021-03-11
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
2b6c392	Donghe-Zhu	2021-03-10
9f58753	Donghe-Zhu	2021-03-10
9d5a62c	Donghe-Zhu	2021-03-10
5d1e70b	Donghe-Zhu	2021-03-10
2093979	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
17f1c4a	Donghe-Zhu	2021-03-09
02f7242	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
058e0a1	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
ffda45a	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
13666ca	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

# print table
kable(cor_target_predictor_stats) %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")

predictor	basin	gamma_slab	mean_r	min_r	max_r
aou	Atlantic	(-Inf,26]	0.3699969	0.3142534	0.4330489
aou	Atlantic	(26,26.5]	0.0343695	-0.0529335	0.1498788
aou	Atlantic	(26.5,26.75]	0.0240517	-0.1355699	0.2187664
aou	Atlantic	(26.75,27]	-0.1055585	-0.2580871	0.0909866
aou	Atlantic	(27,27.25]	-0.5289662	-0.6053543	-0.4262287
aou	Atlantic	(27.25,27.5]	-0.6915627	-0.7343194	-0.6532904
aou	Atlantic	(27.5,27.75]	-0.7863967	-0.7888308	-0.7839471
aou	Atlantic	(27.75,27.85]	-0.7861642	-0.8007132	-0.7625036
aou	Atlantic	(27.85,27.95]	-0.8565497	-0.8692646	-0.8376555
aou	Atlantic	(27.95,28.05]	-0.8079314	-0.8303875	-0.7936471
aou	Atlantic	(28.05,28.1]	-0.9486575	-0.9564657	-0.9369135
aou	Atlantic	(28.1,28.15]	-0.9290087	-0.9417399	-0.9091388
aou	Atlantic	(28.15,28.2]	-0.9365954	-0.9576151	-0.9088240
aou	Atlantic	(28.2, Inf]	-0.9517382	-0.9714820	-0.9311326
aou	Indo-Pacific	(-Inf,26]	-0.0783481	-0.2184629	0.0571138
aou	Indo-Pacific	(26,26.5]	-0.4469634	-0.5766884	-0.2842642
aou	Indo-Pacific	(26.5,26.75]	-0.7400202	-0.7980795	-0.6580654
aou	Indo-Pacific	(26.75,27]	-0.7931017	-0.8413394	-0.7295708
aou	Indo-Pacific	(27,27.25]	-0.6396760	-0.7382796	-0.5334330
aou	Indo-Pacific	(27.25,27.5]	-0.4146991	-0.5685934	-0.2160332
aou	Indo-Pacific	(27.5,27.75]	0.2270741	0.0101103	0.4436810
aou	Indo-Pacific	(27.75,27.85]	0.8005291	0.7605130	0.8598775
aou	Indo-Pacific	(27.85,27.95]	0.8553649	0.8384290	0.8873410
aou	Indo-Pacific	(27.95,28.05]	0.9428938	0.9385201	0.9484002
aou	Indo-Pacific	(28.05,28.1]	0.9431524	0.9405751	0.9477931
aou	Indo-Pacific	(28.1, Inf]	0.5702744	0.5682803	0.5724776
aou	SO	(-Inf,26]	NA	NA	NA
aou	SO	(26,26.5]	0.0275819	-0.1028047	0.1482147
aou	SO	(26.5,26.75]	-0.3039247	-0.4678853	-0.1194179
aou	SO	(26.75,27]	-0.5488765	-0.5852450	-0.4915159
aou	SO	(27,27.25]	-0.5037577	-0.5874534	-0.4211279
aou	SO	(27.25,27.5]	-0.3404190	-0.5009608	-0.1222307
aou	SO	(27.5,27.75]	-0.4573670	-0.7143460	-0.0973994
aou	SO	(27.75,27.85]	-0.5000689	-0.8460271	0.0257636
aou	SO	(27.85,27.95]	-0.4686074	-0.7714209	-0.0742977
aou	SO	(27.95,28.05]	-0.5371350	-0.7895845	-0.1868749
aou	SO	(28.05,28.1]	-0.5183499	-0.7804655	-0.1270438
aou	SO	(28.1, Inf]	-0.1249895	-0.3281928	0.1196500
aou	SO	(28.1,28.15]	-0.0552973	-0.2693382	0.1459502
aou	SO	(28.15,28.2]	-0.1602919	-0.2496463	-0.0665125
aou	SO	(28.2, Inf]	-0.2921424	-0.3579460	-0.2409544
nitrate	Atlantic	(-Inf,26]	0.0301450	0.0044862	0.0758708
nitrate	Atlantic	(26,26.5]	-0.1846086	-0.2788037	-0.0663741
nitrate	Atlantic	(26.5,26.75]	-0.1196700	-0.2844890	0.0761946
nitrate	Atlantic	(26.75,27]	-0.2297293	-0.3742766	-0.0467317
nitrate	Atlantic	(27,27.25]	-0.6771777	-0.7370981	-0.5940331
nitrate	Atlantic	(27.25,27.5]	-0.8359635	-0.8620669	-0.8077769
nitrate	Atlantic	(27.5,27.75]	-0.9212349	-0.9244769	-0.9170038
nitrate	Atlantic	(27.75,27.85]	-0.9434081	-0.9447480	-0.9417836
nitrate	Atlantic	(27.85,27.95]	-0.9474381	-0.9537772	-0.9349240
nitrate	Atlantic	(27.95,28.05]	-0.8677191	-0.8880004	-0.8521463
nitrate	Atlantic	(28.05,28.1]	-0.9831433	-0.9879337	-0.9781321
nitrate	Atlantic	(28.1,28.15]	-0.9785190	-0.9846939	-0.9709307
nitrate	Atlantic	(28.15,28.2]	-0.9827377	-0.9903846	-0.9721801
nitrate	Atlantic	(28.2, Inf]	-0.9894919	-0.9955324	-0.9845016
nitrate	Indo-Pacific	(-Inf,26]	-0.0969181	-0.2327091	0.0403592
nitrate	Indo-Pacific	(26,26.5]	-0.4306017	-0.5491357	-0.3005707
nitrate	Indo-Pacific	(26.5,26.75]	-0.6389698	-0.6904557	-0.5649174
nitrate	Indo-Pacific	(26.75,27]	-0.6171914	-0.6545395	-0.5526816
nitrate	Indo-Pacific	(27,27.25]	-0.4123981	-0.5426098	-0.2883817
nitrate	Indo-Pacific	(27.25,27.5]	-0.3188922	-0.4588534	-0.1304828
nitrate	Indo-Pacific	(27.5,27.75]	0.1994229	-0.0212718	0.4096792
nitrate	Indo-Pacific	(27.75,27.85]	0.8015582	0.7529794	0.8470289
nitrate	Indo-Pacific	(27.85,27.95]	0.8765022	0.8558003	0.8975172
nitrate	Indo-Pacific	(27.95,28.05]	0.9358911	0.9294270	0.9424541
nitrate	Indo-Pacific	(28.05,28.1]	0.9386964	0.9357392	0.9440119
nitrate	Indo-Pacific	(28.1, Inf]	0.6275722	0.6242114	0.6302622
nitrate	SO	(-Inf,26]	NA	NA	NA
nitrate	SO	(26,26.5]	-0.0487769	-0.1549924	0.0980148
nitrate	SO	(26.5,26.75]	-0.4999152	-0.5841898	-0.3706672
nitrate	SO	(26.75,27]	-0.8282611	-0.8504831	-0.7866047
nitrate	SO	(27,27.25]	-0.8882743	-0.9165438	-0.8567715
nitrate	SO	(27.25,27.5]	-0.8087492	-0.8962002	-0.6820641
nitrate	SO	(27.5,27.75]	-0.7467604	-0.9137520	-0.4907451
nitrate	SO	(27.75,27.85]	-0.5678545	-0.8545508	-0.1308238
nitrate	SO	(27.85,27.95]	-0.5489351	-0.7355643	-0.2758001
nitrate	SO	(27.95,28.05]	-0.6886101	-0.7634717	-0.5567845
nitrate	SO	(28.05,28.1]	-0.7575394	-0.8129449	-0.6513893
nitrate	SO	(28.1, Inf]	-0.3063090	-0.4105061	-0.1821737
nitrate	SO	(28.1,28.15]	-0.9189103	-0.9362884	-0.8959099
nitrate	SO	(28.15,28.2]	-0.9672866	-0.9747622	-0.9602311
nitrate	SO	(28.2, Inf]	-0.8692077	-0.8919344	-0.8522265
phosphate	Atlantic	(-Inf,26]	0.4437982	0.3732588	0.5359697
phosphate	Atlantic	(26,26.5]	0.0669001	0.0081689	0.1366515
phosphate	Atlantic	(26.5,26.75]	-0.1045106	-0.2487181	0.0758873
phosphate	Atlantic	(26.75,27]	-0.2509469	-0.3860781	-0.0876173
phosphate	Atlantic	(27,27.25]	-0.6900117	-0.7460261	-0.6105393
phosphate	Atlantic	(27.25,27.5]	-0.8409164	-0.8623480	-0.8172989
phosphate	Atlantic	(27.5,27.75]	-0.9158212	-0.9174450	-0.9129024
phosphate	Atlantic	(27.75,27.85]	-0.9493324	-0.9522756	-0.9458433
phosphate	Atlantic	(27.85,27.95]	-0.9479996	-0.9547980	-0.9348243
phosphate	Atlantic	(27.95,28.05]	-0.8750891	-0.8930136	-0.8637535
phosphate	Atlantic	(28.05,28.1]	-0.9812113	-0.9861178	-0.9764166
phosphate	Atlantic	(28.1,28.15]	-0.9777304	-0.9830146	-0.9705615
phosphate	Atlantic	(28.15,28.2]	-0.9744737	-0.9819502	-0.9667163
phosphate	Atlantic	(28.2, Inf]	-0.9860857	-0.9920672	-0.9807550
phosphate	Indo-Pacific	(-Inf,26]	-0.1257546	-0.2660538	0.0140601
phosphate	Indo-Pacific	(26,26.5]	-0.5787013	-0.6967813	-0.4279005
phosphate	Indo-Pacific	(26.5,26.75]	-0.8161914	-0.8632661	-0.7440292
phosphate	Indo-Pacific	(26.75,27]	-0.8261729	-0.8614493	-0.7761443
phosphate	Indo-Pacific	(27,27.25]	-0.6726619	-0.7636773	-0.5780098
phosphate	Indo-Pacific	(27.25,27.5]	-0.5112373	-0.6449316	-0.3352726
phosphate	Indo-Pacific	(27.5,27.75]	0.1239686	-0.0921828	0.3391320
phosphate	Indo-Pacific	(27.75,27.85]	0.7816864	0.7359226	0.8358925
phosphate	Indo-Pacific	(27.85,27.95]	0.8555664	0.8391938	0.8830788
phosphate	Indo-Pacific	(27.95,28.05]	0.9375270	0.9318253	0.9437577
phosphate	Indo-Pacific	(28.05,28.1]	0.9374721	0.9345072	0.9427284
phosphate	Indo-Pacific	(28.1, Inf]	0.5932327	0.5914052	0.5953527
phosphate	SO	(-Inf,26]	NA	NA	NA
phosphate	SO	(26,26.5]	-0.2292679	-0.3285294	-0.0931126
phosphate	SO	(26.5,26.75]	-0.6307895	-0.7167989	-0.5101029
phosphate	SO	(26.75,27]	-0.8456780	-0.8718739	-0.8054569
phosphate	SO	(27,27.25]	-0.8950819	-0.9219868	-0.8655306
phosphate	SO	(27.25,27.5]	-0.8205598	-0.9051138	-0.6975617
phosphate	SO	(27.5,27.75]	-0.7511626	-0.9166629	-0.4964670
phosphate	SO	(27.75,27.85]	-0.5767831	-0.8606055	-0.1476539
phosphate	SO	(27.85,27.95]	-0.5618045	-0.7461404	-0.2868177
phosphate	SO	(27.95,28.05]	-0.6866762	-0.7632738	-0.5581567
phosphate	SO	(28.05,28.1]	-0.7601192	-0.8241780	-0.6430071
phosphate	SO	(28.1, Inf]	-0.4484490	-0.5691519	-0.3044444
phosphate	SO	(28.1,28.15]	-0.9292263	-0.9468310	-0.9001594
phosphate	SO	(28.15,28.2]	-0.9708264	-0.9770955	-0.9584045
phosphate	SO	(28.2, Inf]	-0.9070109	-0.9102729	-0.9047991
phosphate_star	Atlantic	(-Inf,26]	0.1042002	0.0516706	0.1954765
phosphate_star	Atlantic	(26,26.5]	0.1588203	0.1374566	0.1837181
phosphate_star	Atlantic	(26.5,26.75]	-0.3127004	-0.3357164	-0.2975960
phosphate_star	Atlantic	(26.75,27]	-0.4724832	-0.5501389	-0.4070749
phosphate_star	Atlantic	(27,27.25]	-0.6325124	-0.6546444	-0.5981232
phosphate_star	Atlantic	(27.25,27.5]	-0.7321378	-0.7631952	-0.7044851
phosphate_star	Atlantic	(27.5,27.75]	-0.7180292	-0.7268540	-0.7059059
phosphate_star	Atlantic	(27.75,27.85]	-0.9043355	-0.9237571	-0.8931332
phosphate_star	Atlantic	(27.85,27.95]	-0.8965729	-0.9155370	-0.8774549
phosphate_star	Atlantic	(27.95,28.05]	-0.8503888	-0.8678374	-0.8384763
phosphate_star	Atlantic	(28.05,28.1]	-0.9769078	-0.9806028	-0.9733876
phosphate_star	Atlantic	(28.1,28.15]	-0.9836277	-0.9864221	-0.9795197
phosphate_star	Atlantic	(28.15,28.2]	-0.9768520	-0.9796254	-0.9738947
phosphate_star	Atlantic	(28.2, Inf]	-0.9861502	-0.9901964	-0.9824150
phosphate_star	Indo-Pacific	(-Inf,26]	0.0033790	-0.1045934	0.1144076
phosphate_star	Indo-Pacific	(26,26.5]	-0.5760140	-0.6208875	-0.5246498
phosphate_star	Indo-Pacific	(26.5,26.75]	-0.6200615	-0.6383137	-0.5925872
phosphate_star	Indo-Pacific	(26.75,27]	-0.4973574	-0.5172089	-0.4674389
phosphate_star	Indo-Pacific	(27,27.25]	-0.4477157	-0.5305704	-0.3793148
phosphate_star	Indo-Pacific	(27.25,27.5]	-0.5683653	-0.6292959	-0.4869764
phosphate_star	Indo-Pacific	(27.5,27.75]	-0.2972039	-0.4112997	-0.1911287
phosphate_star	Indo-Pacific	(27.75,27.85]	0.2569326	0.2330463	0.2949274
phosphate_star	Indo-Pacific	(27.85,27.95]	0.3819045	0.3735462	0.3917034
phosphate_star	Indo-Pacific	(27.95,28.05]	0.5612227	0.5538279	0.5675232
phosphate_star	Indo-Pacific	(28.05,28.1]	0.6621700	0.6530736	0.6777015
phosphate_star	Indo-Pacific	(28.1, Inf]	0.5942945	0.5633313	0.6209499
phosphate_star	SO	(-Inf,26]	NA	NA	NA
phosphate_star	SO	(26,26.5]	-0.2963913	-0.4047542	-0.2023043
phosphate_star	SO	(26.5,26.75]	-0.5505435	-0.5997686	-0.4797860
phosphate_star	SO	(26.75,27]	-0.7662132	-0.7762482	-0.7545977
phosphate_star	SO	(27,27.25]	-0.8356345	-0.8841921	-0.8032684
phosphate_star	SO	(27.25,27.5]	-0.6843274	-0.8102287	-0.5837044
phosphate_star	SO	(27.5,27.75]	-0.4018125	-0.6768164	-0.1969152
phosphate_star	SO	(27.75,27.85]	0.3299551	-0.2113571	0.6793951
phosphate_star	SO	(27.85,27.95]	0.2608495	-0.1596897	0.6274981
phosphate_star	SO	(27.95,28.05]	0.2527062	-0.1761204	0.5748076
phosphate_star	SO	(28.05,28.1]	0.1181113	-0.3691308	0.4368466
phosphate_star	SO	(28.1, Inf]	-0.5024999	-0.7095028	-0.3145905
phosphate_star	SO	(28.1,28.15]	-0.7406316	-0.8843066	-0.5609085
phosphate_star	SO	(28.15,28.2]	-0.8261122	-0.9475268	-0.6940029
phosphate_star	SO	(28.2, Inf]	-0.9177118	-0.9632819	-0.8781179
sal	Atlantic	(-Inf,26]	0.6301580	0.5967221	0.6787106
sal	Atlantic	(26,26.5]	-0.1481509	-0.1675763	-0.1180345
sal	Atlantic	(26.5,26.75]	-0.0547498	-0.1239435	0.0397404
sal	Atlantic	(26.75,27]	-0.0564536	-0.1508007	0.1110790
sal	Atlantic	(27,27.25]	-0.0369869	-0.1042054	0.0070502
sal	Atlantic	(27.25,27.5]	0.0612566	-0.0138742	0.1549100
sal	Atlantic	(27.5,27.75]	-0.5339859	-0.5694737	-0.5161690
sal	Atlantic	(27.75,27.85]	0.0125150	-0.1080307	0.1969004
sal	Atlantic	(27.85,27.95]	0.0025556	-0.0604150	0.0602554
sal	Atlantic	(27.95,28.05]	-0.0002564	-0.0599254	0.0384123
sal	Atlantic	(28.05,28.1]	0.5345631	0.4312927	0.6141412
sal	Atlantic	(28.1,28.15]	0.7267877	0.6223410	0.7975942
sal	Atlantic	(28.15,28.2]	0.7901168	0.6937158	0.8539115
sal	Atlantic	(28.2, Inf]	0.9167710	0.8788988	0.9601103
sal	Indo-Pacific	(-Inf,26]	-0.0658231	-0.1251349	-0.0011895
sal	Indo-Pacific	(26,26.5]	0.3107749	0.2934127	0.3426552
sal	Indo-Pacific	(26.5,26.75]	0.2777346	0.2432317	0.3056463
sal	Indo-Pacific	(26.75,27]	0.0698469	0.0255983	0.1142170
sal	Indo-Pacific	(27,27.25]	0.0738626	-0.0062731	0.1710364
sal	Indo-Pacific	(27.25,27.5]	0.1420749	0.0166256	0.2272567
sal	Indo-Pacific	(27.5,27.75]	-0.0179779	-0.0860058	0.0686002
sal	Indo-Pacific	(27.75,27.85]	-0.0326839	-0.1064988	0.0909862
sal	Indo-Pacific	(27.85,27.95]	0.0724383	0.0103823	0.1679590
sal	Indo-Pacific	(27.95,28.05]	-0.0373922	-0.0744192	0.0036467
sal	Indo-Pacific	(28.05,28.1]	-0.1178050	-0.1882604	-0.0713481
sal	Indo-Pacific	(28.1, Inf]	-0.1021005	-0.1364551	-0.0813117
sal	SO	(-Inf,26]	NA	NA	NA
sal	SO	(26,26.5]	0.1058591	-0.0565168	0.2792533
sal	SO	(26.5,26.75]	0.4817693	0.3806937	0.5504344
sal	SO	(26.75,27]	0.6690698	0.6553876	0.6817598
sal	SO	(27,27.25]	0.8222941	0.7933738	0.8686715
sal	SO	(27.25,27.5]	0.5691839	0.4685607	0.7057058
sal	SO	(27.5,27.75]	0.0944086	-0.1359173	0.4173662
sal	SO	(27.75,27.85]	-0.4851213	-0.8252225	0.0553384
sal	SO	(27.85,27.95]	-0.4080138	-0.7777668	0.0444573
sal	SO	(27.95,28.05]	-0.2824550	-0.6115632	0.1749221
sal	SO	(28.05,28.1]	-0.1304047	-0.4273404	0.3553540
sal	SO	(28.1, Inf]	-0.3610125	-0.6028833	-0.0711337
sal	SO	(28.1,28.15]	0.7991217	0.6454145	0.9189969
sal	SO	(28.15,28.2]	0.8484949	0.7255564	0.9537467
sal	SO	(28.2, Inf]	-0.0929938	-0.2136081	0.0650534
silicate	Atlantic	(-Inf,26]	-0.6170727	-0.6760381	-0.5811847
silicate	Atlantic	(26,26.5]	-0.4886514	-0.5445738	-0.4237057
silicate	Atlantic	(26.5,26.75]	-0.3512556	-0.4724173	-0.2074270
silicate	Atlantic	(26.75,27]	-0.5302995	-0.6524418	-0.3985758
silicate	Atlantic	(27,27.25]	-0.8467719	-0.8786088	-0.7972929
silicate	Atlantic	(27.25,27.5]	-0.9210019	-0.9232267	-0.9195580
silicate	Atlantic	(27.5,27.75]	-0.9150497	-0.9241803	-0.9070877
silicate	Atlantic	(27.75,27.85]	-0.8973583	-0.9140348	-0.8837332
silicate	Atlantic	(27.85,27.95]	-0.8376492	-0.8590715	-0.8092125
silicate	Atlantic	(27.95,28.05]	-0.7551987	-0.7668578	-0.7356468
silicate	Atlantic	(28.05,28.1]	-0.9082582	-0.9132682	-0.9056073
silicate	Atlantic	(28.1,28.15]	-0.9222288	-0.9344618	-0.9147806
silicate	Atlantic	(28.15,28.2]	-0.9058966	-0.9097761	-0.9034730
silicate	Atlantic	(28.2, Inf]	-0.9453512	-0.9557158	-0.9361451
silicate	Indo-Pacific	(-Inf,26]	-0.1095166	-0.2421600	0.0089900
silicate	Indo-Pacific	(26,26.5]	-0.6579397	-0.7473364	-0.5456576
silicate	Indo-Pacific	(26.5,26.75]	-0.7486552	-0.7885403	-0.6828895
silicate	Indo-Pacific	(26.75,27]	-0.6387065	-0.6762408	-0.5849123
silicate	Indo-Pacific	(27,27.25]	-0.4398425	-0.5541499	-0.3245591
silicate	Indo-Pacific	(27.25,27.5]	-0.3031787	-0.4474979	-0.1256402
silicate	Indo-Pacific	(27.5,27.75]	0.2611122	0.0503313	0.4604196
silicate	Indo-Pacific	(27.75,27.85]	0.8533752	0.8176930	0.8930393
silicate	Indo-Pacific	(27.85,27.95]	0.8855552	0.8673861	0.9127555
silicate	Indo-Pacific	(27.95,28.05]	0.9613559	0.9576041	0.9687864
silicate	Indo-Pacific	(28.05,28.1]	0.9613933	0.9594507	0.9648427
silicate	Indo-Pacific	(28.1, Inf]	0.8874403	0.8834983	0.8919048
silicate	SO	(-Inf,26]	NA	NA	NA
silicate	SO	(26,26.5]	-0.1202375	-0.2360107	-0.0289426
silicate	SO	(26.5,26.75]	-0.2421229	-0.4419169	-0.0514219
silicate	SO	(26.75,27]	-0.5596479	-0.5985533	-0.4868064
silicate	SO	(27,27.25]	-0.7735806	-0.8197202	-0.7251524
silicate	SO	(27.25,27.5]	-0.7662280	-0.8660981	-0.6223680
silicate	SO	(27.5,27.75]	-0.7509985	-0.9151327	-0.4944302
silicate	SO	(27.75,27.85]	-0.6275163	-0.8981309	-0.2099383
silicate	SO	(27.85,27.95]	-0.6193774	-0.8221066	-0.3055615
silicate	SO	(27.95,28.05]	-0.6671823	-0.8068908	-0.4609262
silicate	SO	(28.05,28.1]	-0.6818397	-0.8553177	-0.4068453
silicate	SO	(28.1, Inf]	-0.6662723	-0.8042854	-0.4911452
silicate	SO	(28.1,28.15]	-0.6879503	-0.8386695	-0.5116838
silicate	SO	(28.15,28.2]	-0.6152239	-0.6798950	-0.5601138
silicate	SO	(28.2, Inf]	-0.7895795	-0.8391802	-0.7272121
temp	Atlantic	(-Inf,26]	-0.0621812	-0.1229914	-0.0094889
temp	Atlantic	(26,26.5]	-0.2863290	-0.3126330	-0.2502014
temp	Atlantic	(26.5,26.75]	-0.0734806	-0.1212768	-0.0083145
temp	Atlantic	(26.75,27]	0.0144468	-0.0915520	0.1564544
temp	Atlantic	(27,27.25]	-0.0147108	-0.0723241	0.0141882
temp	Atlantic	(27.25,27.5]	-0.0107492	-0.0823309	0.0713845
temp	Atlantic	(27.5,27.75]	-0.5236792	-0.5518806	-0.4996454
temp	Atlantic	(27.75,27.85]	0.0272957	-0.0916514	0.1956698
temp	Atlantic	(27.85,27.95]	0.0517734	0.0027724	0.1102317
temp	Atlantic	(27.95,28.05]	-0.0068316	-0.0993100	0.0593596
temp	Atlantic	(28.05,28.1]	0.3750123	0.2713311	0.4300807
temp	Atlantic	(28.1,28.15]	0.5312735	0.4059646	0.6037843
temp	Atlantic	(28.15,28.2]	0.7908841	0.6756450	0.8724408
temp	Atlantic	(28.2, Inf]	0.8346541	0.7553824	0.9012624
temp	Indo-Pacific	(-Inf,26]	-0.3837621	-0.4669661	-0.2998316
temp	Indo-Pacific	(26,26.5]	0.2720681	0.2380112	0.3134606
temp	Indo-Pacific	(26.5,26.75]	0.2412171	0.1954603	0.2742358
temp	Indo-Pacific	(26.75,27]	0.0189355	-0.0287838	0.0627431
temp	Indo-Pacific	(27,27.25]	0.0779057	-0.0023428	0.1744411
temp	Indo-Pacific	(27.25,27.5]	0.2329557	0.1161153	0.3212905
temp	Indo-Pacific	(27.5,27.75]	0.1258395	0.0463744	0.2226503
temp	Indo-Pacific	(27.75,27.85]	-0.0367576	-0.0994837	0.0523369
temp	Indo-Pacific	(27.85,27.95]	0.0277997	-0.0413704	0.1126401
temp	Indo-Pacific	(27.95,28.05]	-0.0501304	-0.1236716	0.0295904
temp	Indo-Pacific	(28.05,28.1]	-0.0359633	-0.1046828	0.0237608
temp	Indo-Pacific	(28.1, Inf]	-0.0439723	-0.0491350	-0.0373267
temp	SO	(-Inf,26]	NA	NA	NA
temp	SO	(26,26.5]	0.0973041	-0.0253599	0.2460571
temp	SO	(26.5,26.75]	0.4346450	0.3453689	0.4999686
temp	SO	(26.75,27]	0.6270818	0.6140560	0.6376445
temp	SO	(27,27.25]	0.7818449	0.7523712	0.8296012
temp	SO	(27.25,27.5]	0.7030339	0.6150904	0.8107349
temp	SO	(27.5,27.75]	0.4449340	0.2718568	0.6761852
temp	SO	(27.75,27.85]	-0.4685950	-0.7645253	0.0004661
temp	SO	(27.85,27.95]	-0.4747595	-0.7735991	-0.1016175
temp	SO	(27.95,28.05]	-0.4122381	-0.7059507	0.0038992
temp	SO	(28.05,28.1]	-0.2479356	-0.5315858	0.2191986
temp	SO	(28.1, Inf]	0.0625178	-0.1398276	0.3066235
temp	SO	(28.1,28.15]	0.6978737	0.5221818	0.8373698
temp	SO	(28.15,28.2]	0.7790964	0.6525896	0.9060769
temp	SO	(28.2, Inf]	0.5181198	0.4250600	0.6381448

rm(cor_target_predictor, cor_target_predictor_stats)

sessionInfo()

R version 4.0.3 (2020-10-10)
Platform: x86_64-pc-linux-gnu (64-bit)
Running under: openSUSE Leap 15.2

Matrix products: default
BLAS:   /usr/local/R-4.0.3/lib64/R/lib/libRblas.so
LAPACK: /usr/local/R-4.0.3/lib64/R/lib/libRlapack.so

locale:
 [1] LC_CTYPE=en_US.UTF-8       LC_NUMERIC=C              
 [3] LC_TIME=en_US.UTF-8        LC_COLLATE=en_US.UTF-8    
 [5] LC_MONETARY=en_US.UTF-8    LC_MESSAGES=en_US.UTF-8   
 [7] LC_PAPER=en_US.UTF-8       LC_NAME=C                 
 [9] LC_ADDRESS=C               LC_TELEPHONE=C            
[11] LC_MEASUREMENT=en_US.UTF-8 LC_IDENTIFICATION=C       

attached base packages:
[1] stats     graphics  grDevices utils     datasets  methods   base     

other attached packages:
 [1] corrr_0.4.3      broom_0.7.5      kableExtra_1.3.1 knitr_1.30      
 [5] olsrr_0.5.3      GGally_2.0.0     lubridate_1.7.9  metR_0.9.0      
 [9] scico_1.2.0      patchwork_1.1.1  collapse_1.5.0   forcats_0.5.0   
[13] stringr_1.4.0    dplyr_1.0.2      purrr_0.3.4      readr_1.4.0     
[17] tidyr_1.1.2      tibble_3.0.4     ggplot2_3.3.3    tidyverse_1.3.0 
[21] workflowr_1.6.2 

loaded via a namespace (and not attached):
 [1] fs_1.5.0                 webshot_0.5.2            RColorBrewer_1.1-2      
 [4] httr_1.4.2               rprojroot_2.0.2          tools_4.0.3             
 [7] backports_1.1.10         R6_2.5.0                 nortest_1.0-4           
[10] DBI_1.1.0                colorspace_2.0-0         withr_2.3.0             
[13] gridExtra_2.3            tidyselect_1.1.0         curl_4.3                
[16] compiler_4.0.3           git2r_0.27.1             cli_2.2.0               
[19] rvest_0.3.6              xml2_1.3.2               labeling_0.4.2          
[22] scales_1.1.1             checkmate_2.0.0          goftest_1.2-2           
[25] digest_0.6.27            foreign_0.8-80           rmarkdown_2.5           
[28] rio_0.5.16               pkgconfig_2.0.3          htmltools_0.5.0         
[31] highr_0.8                dbplyr_1.4.4             rlang_0.4.10            
[34] readxl_1.3.1             rstudioapi_0.13          farver_2.0.3            
[37] generics_0.1.0           jsonlite_1.7.2           zip_2.1.1               
[40] car_3.0-10               magrittr_2.0.1           Matrix_1.2-18           
[43] Rcpp_1.0.5               munsell_0.5.0            fansi_0.4.1             
[46] abind_1.4-5              lifecycle_0.2.0          stringi_1.5.3           
[49] whisker_0.4              yaml_2.2.1               carData_3.0-4           
[52] plyr_1.8.6               grid_4.0.3               blob_1.2.1              
[55] parallel_4.0.3           promises_1.1.1           crayon_1.3.4            
[58] lattice_0.20-41          haven_2.3.1              hms_0.5.3               
[61] pillar_1.4.7             reprex_0.3.0             glue_1.4.2              
[64] evaluate_0.14            RcppArmadillo_0.10.1.2.2 data.table_1.13.6       
[67] modelr_0.1.8             vctrs_0.3.6              httpuv_1.5.4            
[70] cellranger_1.1.0         gtable_0.3.0             reshape_0.8.8           
[73] assertthat_0.2.1         xfun_0.20                openxlsx_4.2.3          
[76] RcppEigen_0.3.3.9.1      later_1.1.0.1            viridisLite_0.3.0       
[79] ellipsis_0.3.1           here_1.0.1

eMLR - assumption testing

Jens Daniel Müller and Donghe Zhu

23 March, 2021