Last updated: 2021-05-27

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Knit directory: emlr_mod_v_XXX/

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Rmd	55cdfe6	Donghe-Zhu	2021-02-05	local rebuild
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html	ac99ae5	jens-daniel-mueller	2021-01-29	code review
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html	24cc264	jens-daniel-mueller	2021-01-22	cleaned /docs before creating copies
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html	1f3e5b6	jens-daniel-mueller	2021-01-20	Build site.
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Rmd	52eff18	Donghe-Zhu	2021-01-09	Implemet model_run and subsetting
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Rmd	715bdb4	Donghe-Zhu	2021-01-02	model modification
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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
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
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
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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
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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
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f20483f	Donghe-Zhu	2021-02-26
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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
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
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
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
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
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
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]	0.8653266	0.8302696	0.8862473
aou + nitrate	Atlantic	(26,26.5]	0.9203933	0.9174508	0.9236535
aou + nitrate	Atlantic	(26.5,26.75]	0.9755109	0.9750461	0.9757589
aou + nitrate	Atlantic	(26.75,27]	0.9832542	0.9811964	0.9843344
aou + nitrate	Atlantic	(27,27.25]	0.9727571	0.9717003	0.9738167
aou + nitrate	Atlantic	(27.25,27.5]	0.9575404	0.9554486	0.9603195
aou + nitrate	Atlantic	(27.5,27.75]	0.9397432	0.9390307	0.9411214
aou + nitrate	Atlantic	(27.75,27.85]	0.9236054	0.9143713	0.9378087
aou + nitrate	Atlantic	(27.85,27.95]	0.9539068	0.9475420	0.9578429
aou + nitrate	Atlantic	(27.95,28.05]	0.9779594	0.9770062	0.9795529
aou + nitrate	Atlantic	(28.05,28.1]	0.9903723	0.9886920	0.9921636
aou + nitrate	Atlantic	(28.1,28.15]	0.9889720	0.9881367	0.9902148
aou + nitrate	Atlantic	(28.15,28.2]	0.9859838	0.9849137	0.9880698
aou + nitrate	Atlantic	(28.2, Inf]	0.9837067	0.9757392	0.9892179
aou + nitrate	Indo-Pacific	(-Inf,26]	0.9353890	0.9323828	0.9373911
aou + nitrate	Indo-Pacific	(26,26.5]	0.8539171	0.8439591	0.8592572
aou + nitrate	Indo-Pacific	(26.5,26.75]	0.7253678	0.7213212	0.7314479
aou + nitrate	Indo-Pacific	(26.75,27]	0.7684158	0.7664312	0.7714244
aou + nitrate	Indo-Pacific	(27,27.25]	0.8206862	0.8146004	0.8271787
aou + nitrate	Indo-Pacific	(27.25,27.5]	0.8585125	0.8471205	0.8678939
aou + nitrate	Indo-Pacific	(27.5,27.75]	0.8987698	0.8932129	0.9055193
aou + nitrate	Indo-Pacific	(27.75,27.85]	0.9719056	0.9688549	0.9750790
aou + nitrate	Indo-Pacific	(27.85,27.95]	0.9753974	0.9741860	0.9774332
aou + nitrate	Indo-Pacific	(27.95,28.05]	0.9894286	0.9886392	0.9901963
aou + nitrate	Indo-Pacific	(28.05,28.1]	0.9887366	0.9881652	0.9890615
aou + nitrate	Indo-Pacific	(28.1,28.2]	0.9855009	0.9850144	0.9861348
aou + nitrate	Indo-Pacific	(28.2,28.3]	0.9853893	0.9849561	0.9857149
aou + nitrate	Indo-Pacific	(28.3, Inf]	0.8265761	0.8175205	0.8433359
aou + nitrate	SO	(-Inf,26]	0.0000000	-1.0000000	1.0000000
aou + nitrate	SO	(26,26.5]	0.8682407	0.8251461	0.8946784
aou + nitrate	SO	(26.5,26.75]	0.7850474	0.7482860	0.8177812
aou + nitrate	SO	(26.75,27]	0.8028769	0.7942156	0.8097757
aou + nitrate	SO	(27,27.25]	0.7733858	0.7666143	0.7835497
aou + nitrate	SO	(27.25,27.5]	0.7807855	0.7791963	0.7824313
aou + nitrate	SO	(27.5,27.75]	0.8760467	0.8737640	0.8802201
aou + nitrate	SO	(27.75,27.85]	0.9633415	0.9552715	0.9703597
aou + nitrate	SO	(27.85,27.95]	0.9096054	0.8980249	0.9235513
aou + nitrate	SO	(27.95,28.05]	0.7805684	0.7665187	0.7887350
aou + nitrate	SO	(28.05,28.1]	0.7119933	0.6778623	0.7511177
aou + nitrate	SO	(28.1,28.15]	0.2551551	0.2201030	0.2805748
aou + nitrate	SO	(28.1,28.2]	0.9151645	0.9147307	0.9157408
aou + nitrate	SO	(28.15,28.2]	0.2764397	0.2362878	0.3379824
aou + nitrate	SO	(28.2, Inf]	0.5226892	0.5015761	0.5623372
aou + nitrate	SO	(28.2,28.3]	0.9581680	0.9574718	0.9589236
aou + nitrate	SO	(28.3, Inf]	0.1634785	0.0878038	0.2048665
aou + phosphate	Atlantic	(-Inf,26]	0.9445649	0.9259521	0.9540288
aou + phosphate	Atlantic	(26,26.5]	0.8951344	0.8836239	0.9116828
aou + phosphate	Atlantic	(26.5,26.75]	0.9567613	0.9559289	0.9579440
aou + phosphate	Atlantic	(26.75,27]	0.9692373	0.9689140	0.9698257
aou + phosphate	Atlantic	(27,27.25]	0.9523593	0.9510248	0.9530741
aou + phosphate	Atlantic	(27.25,27.5]	0.9356514	0.9328764	0.9391632
aou + phosphate	Atlantic	(27.5,27.75]	0.9196681	0.9186891	0.9213989
aou + phosphate	Atlantic	(27.75,27.85]	0.9028442	0.8915210	0.9198740
aou + phosphate	Atlantic	(27.85,27.95]	0.9399659	0.9325838	0.9445978
aou + phosphate	Atlantic	(27.95,28.05]	0.9704246	0.9685894	0.9732501
aou + phosphate	Atlantic	(28.05,28.1]	0.9894140	0.9881415	0.9907480
aou + phosphate	Atlantic	(28.1,28.15]	0.9884099	0.9877570	0.9895101
aou + phosphate	Atlantic	(28.15,28.2]	0.9855742	0.9843835	0.9864971
aou + phosphate	Atlantic	(28.2, Inf]	0.9838623	0.9773408	0.9882458
aou + phosphate	Indo-Pacific	(-Inf,26]	0.9669104	0.9656791	0.9676675
aou + phosphate	Indo-Pacific	(26,26.5]	0.9597213	0.9587235	0.9609384
aou + phosphate	Indo-Pacific	(26.5,26.75]	0.9696437	0.9691488	0.9701085
aou + phosphate	Indo-Pacific	(26.75,27]	0.9721331	0.9715498	0.9731413
aou + phosphate	Indo-Pacific	(27,27.25]	0.9825930	0.9816517	0.9837130
aou + phosphate	Indo-Pacific	(27.25,27.5]	0.9832993	0.9825488	0.9847130
aou + phosphate	Indo-Pacific	(27.5,27.75]	0.9843256	0.9836024	0.9848692
aou + phosphate	Indo-Pacific	(27.75,27.85]	0.9934564	0.9932700	0.9935645
aou + phosphate	Indo-Pacific	(27.85,27.95]	0.9941670	0.9939440	0.9944895
aou + phosphate	Indo-Pacific	(27.95,28.05]	0.9976602	0.9976119	0.9977322
aou + phosphate	Indo-Pacific	(28.05,28.1]	0.9981500	0.9980911	0.9981870
aou + phosphate	Indo-Pacific	(28.1,28.2]	0.9972445	0.9972080	0.9972974
aou + phosphate	Indo-Pacific	(28.2,28.3]	0.9951862	0.9951313	0.9952411
aou + phosphate	Indo-Pacific	(28.3, Inf]	0.9117704	0.9056399	0.9232796
aou + phosphate	SO	(-Inf,26]	0.0000000	-1.0000000	1.0000000
aou + phosphate	SO	(26,26.5]	0.8034798	0.7626758	0.8357833
aou + phosphate	SO	(26.5,26.75]	0.7611318	0.7296195	0.7924116
aou + phosphate	SO	(26.75,27]	0.8054169	0.7964087	0.8132269
aou + phosphate	SO	(27,27.25]	0.7671128	0.7616237	0.7753642
aou + phosphate	SO	(27.25,27.5]	0.7663576	0.7651271	0.7680479
aou + phosphate	SO	(27.5,27.75]	0.8741884	0.8720931	0.8782738
aou + phosphate	SO	(27.75,27.85]	0.9607220	0.9516800	0.9679955
aou + phosphate	SO	(27.85,27.95]	0.9083612	0.8962031	0.9212428
aou + phosphate	SO	(27.95,28.05]	0.7629295	0.7492051	0.7709521
aou + phosphate	SO	(28.05,28.1]	0.7162730	0.6836941	0.7528801
aou + phosphate	SO	(28.1,28.15]	0.2646194	0.2299824	0.2891704
aou + phosphate	SO	(28.1,28.2]	0.9239692	0.9233273	0.9248843
aou + phosphate	SO	(28.15,28.2]	0.3030812	0.2668494	0.3658731
aou + phosphate	SO	(28.2, Inf]	0.5766646	0.5614986	0.6020238
aou + phosphate	SO	(28.2,28.3]	0.9705859	0.9696834	0.9716738
aou + phosphate	SO	(28.3, Inf]	0.0117275	-0.0418963	0.0554356
aou + phosphate_star	Atlantic	(-Inf,26]	0.2618040	0.2535052	0.2740039
aou + phosphate_star	Atlantic	(26,26.5]	0.3920736	0.3709031	0.4240969
aou + phosphate_star	Atlantic	(26.5,26.75]	0.2151048	0.1803863	0.2337623
aou + phosphate_star	Atlantic	(26.75,27]	0.0923326	0.0768431	0.1206305
aou + phosphate_star	Atlantic	(27,27.25]	0.3109283	0.3097150	0.3125608
aou + phosphate_star	Atlantic	(27.25,27.5]	0.4506028	0.4393276	0.4645533
aou + phosphate_star	Atlantic	(27.5,27.75]	0.5016106	0.4929713	0.5166148
aou + phosphate_star	Atlantic	(27.75,27.85]	0.6259376	0.6020119	0.6602370
aou + phosphate_star	Atlantic	(27.85,27.95]	0.7776975	0.7645936	0.7954252
aou + phosphate_star	Atlantic	(27.95,28.05]	0.8959720	0.8906040	0.9035771
aou + phosphate_star	Atlantic	(28.05,28.1]	0.9632911	0.9619613	0.9640990
aou + phosphate_star	Atlantic	(28.1,28.15]	0.9568830	0.9546494	0.9599095
aou + phosphate_star	Atlantic	(28.15,28.2]	0.9485799	0.9478080	0.9495088
aou + phosphate_star	Atlantic	(28.2, Inf]	0.9658135	0.9573830	0.9718733
aou + phosphate_star	Indo-Pacific	(-Inf,26]	0.5829007	0.5664580	0.5932944
aou + phosphate_star	Indo-Pacific	(26,26.5]	0.4145696	0.4030522	0.4249305
aou + phosphate_star	Indo-Pacific	(26.5,26.75]	0.4503093	0.4485409	0.4520952
aou + phosphate_star	Indo-Pacific	(26.75,27]	0.5708227	0.5673153	0.5772754
aou + phosphate_star	Indo-Pacific	(27,27.25]	0.7123967	0.7016482	0.7304769
aou + phosphate_star	Indo-Pacific	(27.25,27.5]	0.6523050	0.6273242	0.6849867
aou + phosphate_star	Indo-Pacific	(27.5,27.75]	0.4580458	0.4548534	0.4601939
aou + phosphate_star	Indo-Pacific	(27.75,27.85]	0.4094930	0.3974812	0.4320575
aou + phosphate_star	Indo-Pacific	(27.85,27.95]	0.4429233	0.4065814	0.4626432
aou + phosphate_star	Indo-Pacific	(27.95,28.05]	0.5699343	0.5541708	0.5887581
aou + phosphate_star	Indo-Pacific	(28.05,28.1]	0.6806362	0.6660931	0.6966988
aou + phosphate_star	Indo-Pacific	(28.1,28.2]	0.6226016	0.6154391	0.6273880
aou + phosphate_star	Indo-Pacific	(28.2,28.3]	0.4747513	0.4477031	0.4922524
aou + phosphate_star	Indo-Pacific	(28.3, Inf]	-0.3717967	-0.4255262	-0.3417894
aou + phosphate_star	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
aou + phosphate_star	SO	(26,26.5]	-0.5578805	-0.6988889	-0.4843545
aou + phosphate_star	SO	(26.5,26.75]	-0.0228717	-0.0630524	0.0059076
aou + phosphate_star	SO	(26.75,27]	0.2560534	0.2257886	0.2740539
aou + phosphate_star	SO	(27,27.25]	0.0995578	0.0933656	0.1104108
aou + phosphate_star	SO	(27.25,27.5]	-0.3735507	-0.3973056	-0.3505417
aou + phosphate_star	SO	(27.5,27.75]	-0.4813072	-0.5078917	-0.4424080
aou + phosphate_star	SO	(27.75,27.85]	-0.8483470	-0.8515600	-0.8459848
aou + phosphate_star	SO	(27.85,27.95]	-0.7394946	-0.7569690	-0.7290217
aou + phosphate_star	SO	(27.95,28.05]	-0.8167923	-0.8214713	-0.8093176
aou + phosphate_star	SO	(28.05,28.1]	-0.7835768	-0.7866226	-0.7783735
aou + phosphate_star	SO	(28.1,28.15]	-0.5920196	-0.6221465	-0.5555061
aou + phosphate_star	SO	(28.1,28.2]	-0.5813621	-0.6325662	-0.5252980
aou + phosphate_star	SO	(28.15,28.2]	-0.3484881	-0.4456459	-0.2652723
aou + phosphate_star	SO	(28.2, Inf]	0.0663977	0.0161162	0.1340541
aou + phosphate_star	SO	(28.2,28.3]	-0.1357516	-0.1594383	-0.0901900
aou + phosphate_star	SO	(28.3, Inf]	-0.7132812	-0.7400724	-0.6998576
aou + silicate	Atlantic	(-Inf,26]	0.1507500	0.0480726	0.2079561
aou + silicate	Atlantic	(26,26.5]	0.2729814	0.2358702	0.2986714
aou + silicate	Atlantic	(26.5,26.75]	0.6212189	0.5990219	0.6415326
aou + silicate	Atlantic	(26.75,27]	0.7598466	0.7461388	0.7677588
aou + silicate	Atlantic	(27,27.25]	0.7667970	0.7620059	0.7719058
aou + silicate	Atlantic	(27.25,27.5]	0.7255284	0.7145496	0.7398529
aou + silicate	Atlantic	(27.5,27.75]	0.6914468	0.6872890	0.6986147
aou + silicate	Atlantic	(27.75,27.85]	0.6080251	0.5863668	0.6488461
aou + silicate	Atlantic	(27.85,27.95]	0.7211607	0.7060061	0.7320333
aou + silicate	Atlantic	(27.95,28.05]	0.8512179	0.8388252	0.8602840
aou + silicate	Atlantic	(28.05,28.1]	0.9411911	0.9390622	0.9447292
aou + silicate	Atlantic	(28.1,28.15]	0.9489484	0.9479968	0.9497312
aou + silicate	Atlantic	(28.15,28.2]	0.9262305	0.9222065	0.9296588
aou + silicate	Atlantic	(28.2, Inf]	0.9456949	0.9450487	0.9465772
aou + silicate	Indo-Pacific	(-Inf,26]	0.8339063	0.8306691	0.8364989
aou + silicate	Indo-Pacific	(26,26.5]	0.7669734	0.7639574	0.7715616
aou + silicate	Indo-Pacific	(26.5,26.75]	0.7539585	0.7516085	0.7585732
aou + silicate	Indo-Pacific	(26.75,27]	0.8171202	0.8105064	0.8233466
aou + silicate	Indo-Pacific	(27,27.25]	0.8886870	0.8840353	0.8932249
aou + silicate	Indo-Pacific	(27.25,27.5]	0.9134547	0.9109094	0.9182801
aou + silicate	Indo-Pacific	(27.5,27.75]	0.9054267	0.9040372	0.9073681
aou + silicate	Indo-Pacific	(27.75,27.85]	0.9410675	0.9391453	0.9444564
aou + silicate	Indo-Pacific	(27.85,27.95]	0.9371485	0.9300699	0.9434185
aou + silicate	Indo-Pacific	(27.95,28.05]	0.9736217	0.9726718	0.9745321
aou + silicate	Indo-Pacific	(28.05,28.1]	0.9772719	0.9762047	0.9785183
aou + silicate	Indo-Pacific	(28.1,28.2]	0.8977331	0.8956966	0.8991511
aou + silicate	Indo-Pacific	(28.2,28.3]	0.7940459	0.7870684	0.7984028
aou + silicate	Indo-Pacific	(28.3, Inf]	0.8962876	0.8938108	0.8980644
aou + silicate	SO	(-Inf,26]	0.0000000	-1.0000000	1.0000000
aou + silicate	SO	(26,26.5]	0.9032817	0.8833116	0.9289506
aou + silicate	SO	(26.5,26.75]	0.8768375	0.8453370	0.8929777
aou + silicate	SO	(26.75,27]	0.8801869	0.8781412	0.8819098
aou + silicate	SO	(27,27.25]	0.8247494	0.8178789	0.8373108
aou + silicate	SO	(27.25,27.5]	0.7763189	0.7722008	0.7798508
aou + silicate	SO	(27.5,27.75]	0.8576106	0.8556060	0.8600710
aou + silicate	SO	(27.75,27.85]	0.9398728	0.9310051	0.9460909
aou + silicate	SO	(27.85,27.95]	0.9082383	0.8948586	0.9161972
aou + silicate	SO	(27.95,28.05]	0.7761727	0.7647316	0.7826370
aou + silicate	SO	(28.05,28.1]	0.8297888	0.8164906	0.8454461
aou + silicate	SO	(28.1,28.15]	0.7180386	0.7113055	0.7287473
aou + silicate	SO	(28.1,28.2]	0.9476253	0.9436977	0.9536554
aou + silicate	SO	(28.15,28.2]	0.7968631	0.7695122	0.8298412
aou + silicate	SO	(28.2, Inf]	0.5600074	0.5575923	0.5647599
aou + silicate	SO	(28.2,28.3]	0.8838091	0.8740648	0.8902186
aou + silicate	SO	(28.3, Inf]	-0.3445158	-0.3910902	-0.3192637
nitrate + phosphate	Atlantic	(-Inf,26]	0.7402798	0.6412783	0.7956977
nitrate + phosphate	Atlantic	(26,26.5]	0.8301301	0.8280749	0.8331846
nitrate + phosphate	Atlantic	(26.5,26.75]	0.9670057	0.9641950	0.9693785
nitrate + phosphate	Atlantic	(26.75,27]	0.9800628	0.9783910	0.9810919
nitrate + phosphate	Atlantic	(27,27.25]	0.9896659	0.9893984	0.9900481
nitrate + phosphate	Atlantic	(27.25,27.5]	0.9957402	0.9956272	0.9959430
nitrate + phosphate	Atlantic	(27.5,27.75]	0.9970687	0.9970485	0.9970898
nitrate + phosphate	Atlantic	(27.75,27.85]	0.9984907	0.9983763	0.9985996
nitrate + phosphate	Atlantic	(27.85,27.95]	0.9987648	0.9987042	0.9988102
nitrate + phosphate	Atlantic	(27.95,28.05]	0.9985657	0.9984881	0.9986901
nitrate + phosphate	Atlantic	(28.05,28.1]	0.9994451	0.9994139	0.9994704
nitrate + phosphate	Atlantic	(28.1,28.15]	0.9988911	0.9988489	0.9989634
nitrate + phosphate	Atlantic	(28.15,28.2]	0.9916523	0.9914499	0.9918287
nitrate + phosphate	Atlantic	(28.2, Inf]	0.9964323	0.9961183	0.9967314
nitrate + phosphate	Indo-Pacific	(-Inf,26]	0.9572890	0.9531635	0.9594097
nitrate + phosphate	Indo-Pacific	(26,26.5]	0.8715630	0.8594478	0.8783655
nitrate + phosphate	Indo-Pacific	(26.5,26.75]	0.7373363	0.7344851	0.7423882
nitrate + phosphate	Indo-Pacific	(26.75,27]	0.7910193	0.7898696	0.7924779
nitrate + phosphate	Indo-Pacific	(27,27.25]	0.8258377	0.8198510	0.8315566
nitrate + phosphate	Indo-Pacific	(27.25,27.5]	0.8554899	0.8434934	0.8661710
nitrate + phosphate	Indo-Pacific	(27.5,27.75]	0.9082684	0.9003536	0.9179182
nitrate + phosphate	Indo-Pacific	(27.75,27.85]	0.9788956	0.9764776	0.9825894
nitrate + phosphate	Indo-Pacific	(27.85,27.95]	0.9888819	0.9882375	0.9900165
nitrate + phosphate	Indo-Pacific	(27.95,28.05]	0.9960860	0.9954347	0.9966137
nitrate + phosphate	Indo-Pacific	(28.05,28.1]	0.9946335	0.9945858	0.9947160
nitrate + phosphate	Indo-Pacific	(28.1,28.2]	0.9917018	0.9914095	0.9920763
nitrate + phosphate	Indo-Pacific	(28.2,28.3]	0.9896068	0.9893930	0.9898866
nitrate + phosphate	Indo-Pacific	(28.3, Inf]	0.9620101	0.9608353	0.9637243
nitrate + phosphate	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
nitrate + phosphate	SO	(26,26.5]	0.9667766	0.9379638	0.9824335
nitrate + phosphate	SO	(26.5,26.75]	0.9807660	0.9780332	0.9838154
nitrate + phosphate	SO	(26.75,27]	0.9926543	0.9916943	0.9933343
nitrate + phosphate	SO	(27,27.25]	0.9974343	0.9972848	0.9976660
nitrate + phosphate	SO	(27.25,27.5]	0.9984168	0.9983555	0.9984721
nitrate + phosphate	SO	(27.5,27.75]	0.9989247	0.9988988	0.9989550
nitrate + phosphate	SO	(27.75,27.85]	0.9984771	0.9983495	0.9985506
nitrate + phosphate	SO	(27.85,27.95]	0.9976824	0.9975739	0.9977368
nitrate + phosphate	SO	(27.95,28.05]	0.9966106	0.9965022	0.9968243
nitrate + phosphate	SO	(28.05,28.1]	0.9965970	0.9963124	0.9968299
nitrate + phosphate	SO	(28.1,28.15]	0.9984126	0.9982218	0.9985278
nitrate + phosphate	SO	(28.1,28.2]	0.9981055	0.9980547	0.9981687
nitrate + phosphate	SO	(28.15,28.2]	0.9985187	0.9981945	0.9987909
nitrate + phosphate	SO	(28.2, Inf]	0.9518733	0.9489410	0.9536752
nitrate + phosphate	SO	(28.2,28.3]	0.9937268	0.9932442	0.9940040
nitrate + phosphate	SO	(28.3, Inf]	0.9335292	0.9273807	0.9427254
nitrate + phosphate_star	Atlantic	(-Inf,26]	0.2383031	0.1511504	0.2894996
nitrate + phosphate_star	Atlantic	(26,26.5]	0.3964831	0.3912118	0.4011694
nitrate + phosphate_star	Atlantic	(26.5,26.75]	0.3141853	0.2698678	0.3372936
nitrate + phosphate_star	Atlantic	(26.75,27]	0.1949268	0.1805478	0.2230463
nitrate + phosphate_star	Atlantic	(27,27.25]	0.4900624	0.4869540	0.4952090
nitrate + phosphate_star	Atlantic	(27.25,27.5]	0.6726383	0.6599419	0.6884702
nitrate + phosphate_star	Atlantic	(27.5,27.75]	0.7412971	0.7357669	0.7504623
nitrate + phosphate_star	Atlantic	(27.75,27.85]	0.8723542	0.8642422	0.8777890
nitrate + phosphate_star	Atlantic	(27.85,27.95]	0.9263083	0.9206436	0.9318846
nitrate + phosphate_star	Atlantic	(27.95,28.05]	0.9630133	0.9604080	0.9652568
nitrate + phosphate_star	Atlantic	(28.05,28.1]	0.9869837	0.9863644	0.9875243
nitrate + phosphate_star	Atlantic	(28.1,28.15]	0.9846719	0.9845324	0.9849078
nitrate + phosphate_star	Atlantic	(28.15,28.2]	0.9725582	0.9715645	0.9734184
nitrate + phosphate_star	Atlantic	(28.2, Inf]	0.9901691	0.9898784	0.9905761
nitrate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7267461	0.7110044	0.7358400
nitrate + phosphate_star	Indo-Pacific	(26,26.5]	0.5611317	0.5448873	0.5712960
nitrate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.5202572	0.5176938	0.5226712
nitrate + phosphate_star	Indo-Pacific	(26.75,27]	0.6555073	0.6512249	0.6631980
nitrate + phosphate_star	Indo-Pacific	(27,27.25]	0.7358623	0.7275599	0.7470084
nitrate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.6736370	0.6613206	0.6946918
nitrate + phosphate_star	Indo-Pacific	(27.5,27.75]	0.5789536	0.5693143	0.5943703
nitrate + phosphate_star	Indo-Pacific	(27.75,27.85]	0.5253494	0.5082277	0.5479624
nitrate + phosphate_star	Indo-Pacific	(27.85,27.95]	0.5981100	0.5691739	0.6180069
nitrate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.6750530	0.6635199	0.6920337
nitrate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.7755376	0.7658728	0.7873767
nitrate + phosphate_star	Indo-Pacific	(28.1,28.2]	0.7241857	0.7200679	0.7271660
nitrate + phosphate_star	Indo-Pacific	(28.2,28.3]	0.5722664	0.5496587	0.5870039
nitrate + phosphate_star	Indo-Pacific	(28.3, Inf]	0.1868788	0.1428184	0.2359204
nitrate + phosphate_star	SO	(-Inf,26]	0.0000000	-1.0000000	1.0000000
nitrate + phosphate_star	SO	(26,26.5]	-0.1203710	-0.3692228	0.0626009
nitrate + phosphate_star	SO	(26.5,26.75]	0.5615787	0.5265687	0.6281702
nitrate + phosphate_star	SO	(26.75,27]	0.7607847	0.7468481	0.7719833
nitrate + phosphate_star	SO	(27,27.25]	0.7013811	0.6849551	0.7173188
nitrate + phosphate_star	SO	(27.25,27.5]	0.2850994	0.2580388	0.3087700
nitrate + phosphate_star	SO	(27.5,27.75]	-0.0015167	-0.0407130	0.0466347
nitrate + phosphate_star	SO	(27.75,27.85]	-0.6846961	-0.7012150	-0.6610261
nitrate + phosphate_star	SO	(27.85,27.95]	-0.4070950	-0.4625797	-0.3709615
nitrate + phosphate_star	SO	(27.95,28.05]	-0.2847275	-0.3013720	-0.2680874
nitrate + phosphate_star	SO	(28.05,28.1]	-0.1276805	-0.1871617	-0.0842964
nitrate + phosphate_star	SO	(28.1,28.15]	0.6260814	0.5889105	0.6484460
nitrate + phosphate_star	SO	(28.1,28.2]	-0.2111840	-0.2747197	-0.1435649
nitrate + phosphate_star	SO	(28.15,28.2]	0.8018108	0.7636958	0.8249644
nitrate + phosphate_star	SO	(28.2, Inf]	0.8599049	0.8467902	0.8686811
nitrate + phosphate_star	SO	(28.2,28.3]	0.1408559	0.1167133	0.1882451
nitrate + phosphate_star	SO	(28.3, Inf]	0.5361040	0.5154422	0.5704387
nitrate + silicate	Atlantic	(-Inf,26]	0.5962632	0.5710838	0.6172027
nitrate + silicate	Atlantic	(26,26.5]	0.5594547	0.5355356	0.5741491
nitrate + silicate	Atlantic	(26.5,26.75]	0.7000646	0.6780825	0.7212096
nitrate + silicate	Atlantic	(26.75,27]	0.8253687	0.8137409	0.8319346
nitrate + silicate	Atlantic	(27,27.25]	0.8830700	0.8819870	0.8849830
nitrate + silicate	Atlantic	(27.25,27.5]	0.8867095	0.8823734	0.8919998
nitrate + silicate	Atlantic	(27.5,27.75]	0.8915426	0.8900137	0.8937567
nitrate + silicate	Atlantic	(27.75,27.85]	0.8579803	0.8520449	0.8644943
nitrate + silicate	Atlantic	(27.85,27.95]	0.8783258	0.8763138	0.8810989
nitrate + silicate	Atlantic	(27.95,28.05]	0.9086027	0.9011089	0.9134636
nitrate + silicate	Atlantic	(28.05,28.1]	0.9490110	0.9448284	0.9557399
nitrate + silicate	Atlantic	(28.1,28.15]	0.9501474	0.9498367	0.9507566
nitrate + silicate	Atlantic	(28.15,28.2]	0.9211605	0.9190871	0.9232846
nitrate + silicate	Atlantic	(28.2, Inf]	0.9570273	0.9569765	0.9571088
nitrate + silicate	Indo-Pacific	(-Inf,26]	0.8615673	0.8541491	0.8678848
nitrate + silicate	Indo-Pacific	(26,26.5]	0.8000092	0.7840254	0.8131276
nitrate + silicate	Indo-Pacific	(26.5,26.75]	0.7814032	0.7790579	0.7827324
nitrate + silicate	Indo-Pacific	(26.75,27]	0.8315158	0.8285582	0.8355413
nitrate + silicate	Indo-Pacific	(27,27.25]	0.8831946	0.8778020	0.8861898
nitrate + silicate	Indo-Pacific	(27.25,27.5]	0.9013649	0.8930178	0.9076886
nitrate + silicate	Indo-Pacific	(27.5,27.75]	0.9295099	0.9263733	0.9346088
nitrate + silicate	Indo-Pacific	(27.75,27.85]	0.9612761	0.9600935	0.9630410
nitrate + silicate	Indo-Pacific	(27.85,27.95]	0.9603498	0.9557290	0.9647698
nitrate + silicate	Indo-Pacific	(27.95,28.05]	0.9681956	0.9672622	0.9687647
nitrate + silicate	Indo-Pacific	(28.05,28.1]	0.9627098	0.9604464	0.9663044
nitrate + silicate	Indo-Pacific	(28.1,28.2]	0.9079575	0.9027684	0.9105879
nitrate + silicate	Indo-Pacific	(28.2,28.3]	0.8199612	0.8130511	0.8236474
nitrate + silicate	Indo-Pacific	(28.3, Inf]	0.6593344	0.6403807	0.6912201
nitrate + silicate	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
nitrate + silicate	SO	(26,26.5]	0.8047380	0.7449158	0.8564864
nitrate + silicate	SO	(26.5,26.75]	0.6309760	0.5416513	0.6981257
nitrate + silicate	SO	(26.75,27]	0.7671092	0.7592330	0.7776298
nitrate + silicate	SO	(27,27.25]	0.9027875	0.8982661	0.9058019
nitrate + silicate	SO	(27.25,27.5]	0.9609951	0.9609150	0.9610447
nitrate + silicate	SO	(27.5,27.75]	0.9632337	0.9624218	0.9639019
nitrate + silicate	SO	(27.75,27.85]	0.9672342	0.9660447	0.9688696
nitrate + silicate	SO	(27.85,27.95]	0.9544987	0.9488439	0.9604144
nitrate + silicate	SO	(27.95,28.05]	0.9313827	0.9254081	0.9383332
nitrate + silicate	SO	(28.05,28.1]	0.8889848	0.8702810	0.9050660
nitrate + silicate	SO	(28.1,28.15]	0.7027130	0.6866377	0.7336965
nitrate + silicate	SO	(28.1,28.2]	0.9422261	0.9383449	0.9448134
nitrate + silicate	SO	(28.15,28.2]	0.6298891	0.5962751	0.6534319
nitrate + silicate	SO	(28.2, Inf]	0.6599963	0.6564115	0.6627546
nitrate + silicate	SO	(28.2,28.3]	0.8325099	0.8196881	0.8413542
nitrate + silicate	SO	(28.3, Inf]	0.7616630	0.7457351	0.7918035
phosphate + phosphate_star	Atlantic	(-Inf,26]	0.4999659	0.4735258	0.5265146
phosphate + phosphate_star	Atlantic	(26,26.5]	0.7491953	0.7461373	0.7515334
phosphate + phosphate_star	Atlantic	(26.5,26.75]	0.4852611	0.4545157	0.5045136
phosphate + phosphate_star	Atlantic	(26.75,27]	0.3298922	0.3154710	0.3577773
phosphate + phosphate_star	Atlantic	(27,27.25]	0.5809668	0.5780343	0.5860959
phosphate + phosphate_star	Atlantic	(27.25,27.5]	0.7296994	0.7191496	0.7429756
phosphate + phosphate_star	Atlantic	(27.5,27.75]	0.7867466	0.7818414	0.7950359
phosphate + phosphate_star	Atlantic	(27.75,27.85]	0.8973909	0.8901195	0.9031382
phosphate + phosphate_star	Atlantic	(27.85,27.95]	0.9432019	0.9380271	0.9480523
phosphate + phosphate_star	Atlantic	(27.95,28.05]	0.9735282	0.9719318	0.9750486
phosphate + phosphate_star	Atlantic	(28.05,28.1]	0.9907172	0.9903300	0.9909347
phosphate + phosphate_star	Atlantic	(28.1,28.15]	0.9891215	0.9886436	0.9895871
phosphate + phosphate_star	Atlantic	(28.15,28.2]	0.9879267	0.9875891	0.9884609
phosphate + phosphate_star	Atlantic	(28.2, Inf]	0.9951236	0.9948813	0.9954359
phosphate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7558205	0.7457422	0.7632929
phosphate + phosphate_star	Indo-Pacific	(26,26.5]	0.6485318	0.6414432	0.6539838
phosphate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.6512894	0.6495332	0.6528080
phosphate + phosphate_star	Indo-Pacific	(26.75,27]	0.7428689	0.7413243	0.7449394
phosphate + phosphate_star	Indo-Pacific	(27,27.25]	0.8236337	0.8151934	0.8351738
phosphate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.7747452	0.7561969	0.7970267
phosphate + phosphate_star	Indo-Pacific	(27.5,27.75]	0.6044936	0.5992088	0.6097531
phosphate + phosphate_star	Indo-Pacific	(27.75,27.85]	0.5079502	0.4956722	0.5285342
phosphate + phosphate_star	Indo-Pacific	(27.85,27.95]	0.5346551	0.5008423	0.5551888
phosphate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.6219579	0.6071031	0.6404272
phosphate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.7209411	0.7081878	0.7352972
phosphate + phosphate_star	Indo-Pacific	(28.1,28.2]	0.6752845	0.6687949	0.6799772
phosphate + phosphate_star	Indo-Pacific	(28.2,28.3]	0.5555508	0.5304492	0.5720120
phosphate + phosphate_star	Indo-Pacific	(28.3, Inf]	0.0334445	-0.0088224	0.0792985
phosphate + phosphate_star	SO	(-Inf,26]	0.0000000	-1.0000000	1.0000000
phosphate + phosphate_star	SO	(26,26.5]	0.0277074	-0.1661743	0.1828391
phosphate + phosphate_star	SO	(26.5,26.75]	0.6242453	0.5941549	0.6824139
phosphate + phosphate_star	SO	(26.75,27]	0.7753940	0.7646312	0.7861440
phosphate + phosphate_star	SO	(27,27.25]	0.7133131	0.6997687	0.7270119
phosphate + phosphate_star	SO	(27.25,27.5]	0.3087020	0.2816788	0.3329523
phosphate + phosphate_star	SO	(27.5,27.75]	0.0016919	-0.0374078	0.0501630
phosphate + phosphate_star	SO	(27.75,27.85]	-0.6774652	-0.6941600	-0.6515316
phosphate + phosphate_star	SO	(27.85,27.95]	-0.4062690	-0.4578939	-0.3703371
phosphate + phosphate_star	SO	(27.95,28.05]	-0.2620081	-0.2778672	-0.2469451
phosphate + phosphate_star	SO	(28.05,28.1]	-0.1385889	-0.1946456	-0.0973591
phosphate + phosphate_star	SO	(28.1,28.15]	0.6162273	0.5782406	0.6385945
phosphate + phosphate_star	SO	(28.1,28.2]	-0.2347944	-0.2961438	-0.1694672
phosphate + phosphate_star	SO	(28.15,28.2]	0.7831992	0.7412498	0.8107761
phosphate + phosphate_star	SO	(28.2, Inf]	0.8435457	0.8231649	0.8629517
phosphate + phosphate_star	SO	(28.2,28.3]	0.1004399	0.0739629	0.1498836
phosphate + phosphate_star	SO	(28.3, Inf]	0.6851847	0.6672496	0.6958965
sal + aou	Atlantic	(-Inf,26]	-0.4004300	-0.4358684	-0.3599045
sal + aou	Atlantic	(26,26.5]	-0.3675378	-0.4122718	-0.3110426
sal + aou	Atlantic	(26.5,26.75]	0.2455701	0.2204639	0.2859436
sal + aou	Atlantic	(26.75,27]	0.3585961	0.3317425	0.3732994
sal + aou	Atlantic	(27,27.25]	0.1495879	0.1303120	0.1662555
sal + aou	Atlantic	(27.25,27.5]	0.0671841	-0.0024928	0.1204906
sal + aou	Atlantic	(27.5,27.75]	0.4876966	0.4438289	0.5100328
sal + aou	Atlantic	(27.75,27.85]	0.2251034	0.0773747	0.3079262
sal + aou	Atlantic	(27.85,27.95]	0.1336756	0.0501968	0.2496335
sal + aou	Atlantic	(27.95,28.05]	-0.2940584	-0.3772241	-0.1765861
sal + aou	Atlantic	(28.05,28.1]	-0.7463310	-0.7853229	-0.7218489
sal + aou	Atlantic	(28.1,28.15]	-0.9257996	-0.9281878	-0.9244037
sal + aou	Atlantic	(28.15,28.2]	-0.7988497	-0.8155126	-0.7850606
sal + aou	Atlantic	(28.2, Inf]	-0.9497275	-0.9554297	-0.9414835
sal + aou	Indo-Pacific	(-Inf,26]	-0.2189502	-0.2251673	-0.2078477
sal + aou	Indo-Pacific	(26,26.5]	-0.1552872	-0.1689261	-0.1304901
sal + aou	Indo-Pacific	(26.5,26.75]	-0.1753659	-0.1758607	-0.1746515
sal + aou	Indo-Pacific	(26.75,27]	-0.3798098	-0.3818681	-0.3769277
sal + aou	Indo-Pacific	(27,27.25]	-0.5435192	-0.5641313	-0.5294539
sal + aou	Indo-Pacific	(27.25,27.5]	-0.5368774	-0.5640357	-0.5230633
sal + aou	Indo-Pacific	(27.5,27.75]	-0.3220357	-0.3402285	-0.2970752
sal + aou	Indo-Pacific	(27.75,27.85]	-0.1279755	-0.1374629	-0.1091129
sal + aou	Indo-Pacific	(27.85,27.95]	-0.0598036	-0.0852878	-0.0409473
sal + aou	Indo-Pacific	(27.95,28.05]	0.1847742	0.1464507	0.2085419
sal + aou	Indo-Pacific	(28.05,28.1]	0.0623795	0.0252667	0.0851480
sal + aou	Indo-Pacific	(28.1,28.2]	0.0038087	-0.0601225	0.0609180
sal + aou	Indo-Pacific	(28.2,28.3]	-0.3574553	-0.3635522	-0.3477825
sal + aou	Indo-Pacific	(28.3, Inf]	0.6263096	0.6045857	0.6379972
sal + aou	SO	(-Inf,26]	0.0000000	-1.0000000	1.0000000
sal + aou	SO	(26,26.5]	0.5407573	0.4838729	0.6513149
sal + aou	SO	(26.5,26.75]	0.0657670	0.0412013	0.0986328
sal + aou	SO	(26.75,27]	-0.2813920	-0.3054494	-0.2389572
sal + aou	SO	(27,27.25]	-0.1697810	-0.1778642	-0.1606910
sal + aou	SO	(27.25,27.5]	0.4682959	0.4375586	0.5037503
sal + aou	SO	(27.5,27.75]	0.7069831	0.6685801	0.7387999
sal + aou	SO	(27.75,27.85]	0.9184742	0.9155320	0.9226372
sal + aou	SO	(27.85,27.95]	0.8245488	0.8114657	0.8411074
sal + aou	SO	(27.95,28.05]	0.7429583	0.7275177	0.7517243
sal + aou	SO	(28.05,28.1]	0.7389797	0.7208803	0.7710636
sal + aou	SO	(28.1,28.15]	0.4830976	0.4518275	0.5081258
sal + aou	SO	(28.1,28.2]	0.7981949	0.7808430	0.8138130
sal + aou	SO	(28.15,28.2]	0.3015087	0.2316818	0.3900158
sal + aou	SO	(28.2, Inf]	0.4037214	0.3312502	0.4572881
sal + aou	SO	(28.2,28.3]	0.6153441	0.5839483	0.6354955
sal + aou	SO	(28.3, Inf]	0.6718061	0.5777958	0.7627778
sal + nitrate	Atlantic	(-Inf,26]	-0.6639310	-0.6703484	-0.6571712
sal + nitrate	Atlantic	(26,26.5]	-0.4171660	-0.4464285	-0.3710236
sal + nitrate	Atlantic	(26.5,26.75]	0.1855571	0.1514190	0.2406964
sal + nitrate	Atlantic	(26.75,27]	0.3030320	0.2759440	0.3171376
sal + nitrate	Atlantic	(27,27.25]	0.0311003	0.0067980	0.0486952
sal + nitrate	Atlantic	(27.25,27.5]	-0.1073030	-0.1922002	-0.0314066
sal + nitrate	Atlantic	(27.5,27.75]	0.3958755	0.3433919	0.4229023
sal + nitrate	Atlantic	(27.75,27.85]	-0.0160730	-0.1986430	0.1084364
sal + nitrate	Atlantic	(27.85,27.95]	-0.0393037	-0.1136346	0.0884913
sal + nitrate	Atlantic	(27.95,28.05]	-0.2908529	-0.3676520	-0.1738451
sal + nitrate	Atlantic	(28.05,28.1]	-0.7125715	-0.7724530	-0.6698466
sal + nitrate	Atlantic	(28.1,28.15]	-0.9111515	-0.9155724	-0.9057552
sal + nitrate	Atlantic	(28.15,28.2]	-0.8398721	-0.8580318	-0.8275796
sal + nitrate	Atlantic	(28.2, Inf]	-0.9591031	-0.9655819	-0.9470586
sal + nitrate	Indo-Pacific	(-Inf,26]	-0.3542257	-0.3598832	-0.3444093
sal + nitrate	Indo-Pacific	(26,26.5]	-0.3984816	-0.4088698	-0.3797730
sal + nitrate	Indo-Pacific	(26.5,26.75]	-0.4471266	-0.4503197	-0.4438259
sal + nitrate	Indo-Pacific	(26.75,27]	-0.6221872	-0.6286388	-0.6188352
sal + nitrate	Indo-Pacific	(27,27.25]	-0.7123033	-0.7240804	-0.7051087
sal + nitrate	Indo-Pacific	(27.25,27.5]	-0.6642575	-0.6794451	-0.6554298
sal + nitrate	Indo-Pacific	(27.5,27.75]	-0.4594527	-0.4808046	-0.4382068
sal + nitrate	Indo-Pacific	(27.75,27.85]	-0.2649298	-0.2779298	-0.2461765
sal + nitrate	Indo-Pacific	(27.85,27.95]	-0.1974665	-0.2259959	-0.1762527
sal + nitrate	Indo-Pacific	(27.95,28.05]	0.0802320	0.0399508	0.1009052
sal + nitrate	Indo-Pacific	(28.05,28.1]	-0.0625470	-0.1032638	-0.0403431
sal + nitrate	Indo-Pacific	(28.1,28.2]	-0.0604733	-0.1200437	-0.0052682
sal + nitrate	Indo-Pacific	(28.2,28.3]	-0.4351167	-0.4512355	-0.4173487
sal + nitrate	Indo-Pacific	(28.3, Inf]	0.1039435	0.0575458	0.1509277
sal + nitrate	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
sal + nitrate	SO	(26,26.5]	0.2296291	0.0686768	0.4529332
sal + nitrate	SO	(26.5,26.75]	-0.4649995	-0.5250887	-0.4324821
sal + nitrate	SO	(26.75,27]	-0.6980860	-0.7206723	-0.6627711
sal + nitrate	SO	(27,27.25]	-0.7160727	-0.7333941	-0.6963065
sal + nitrate	SO	(27.25,27.5]	-0.1475253	-0.1808615	-0.1064809
sal + nitrate	SO	(27.5,27.75]	0.3075240	0.2528456	0.3585682
sal + nitrate	SO	(27.75,27.85]	0.8124848	0.7993397	0.8277028
sal + nitrate	SO	(27.85,27.95]	0.6094066	0.5699095	0.6595346
sal + nitrate	SO	(27.95,28.05]	0.3869315	0.3506633	0.4108545
sal + nitrate	SO	(28.05,28.1]	0.1917651	0.1150177	0.2911184
sal + nitrate	SO	(28.1,28.15]	-0.7054845	-0.7244096	-0.6779359
sal + nitrate	SO	(28.1,28.2]	0.5599121	0.5235978	0.5903611
sal + nitrate	SO	(28.15,28.2]	-0.8233913	-0.8474380	-0.7926564
sal + nitrate	SO	(28.2, Inf]	-0.1681790	-0.1974927	-0.1301409
sal + nitrate	SO	(28.2,28.3]	0.4349777	0.3955483	0.4614336
sal + nitrate	SO	(28.3, Inf]	0.3837192	0.2417203	0.4954102
sal + phosphate	Atlantic	(-Inf,26]	-0.3056779	-0.3611351	-0.2173249
sal + phosphate	Atlantic	(26,26.5]	-0.6256219	-0.6479013	-0.6070033
sal + phosphate	Atlantic	(26.5,26.75]	0.0103627	-0.0177298	0.0583735
sal + phosphate	Atlantic	(26.75,27]	0.1805648	0.1503589	0.1960604
sal + phosphate	Atlantic	(27,27.25]	-0.0774846	-0.1047164	-0.0584643
sal + phosphate	Atlantic	(27.25,27.5]	-0.1831907	-0.2657156	-0.1092683
sal + phosphate	Atlantic	(27.5,27.75]	0.3330377	0.2787968	0.3610199
sal + phosphate	Atlantic	(27.75,27.85]	-0.0624560	-0.2461798	0.0635510
sal + phosphate	Atlantic	(27.85,27.95]	-0.0815959	-0.1559083	0.0476017
sal + phosphate	Atlantic	(27.95,28.05]	-0.3088585	-0.3842707	-0.1922065
sal + phosphate	Atlantic	(28.05,28.1]	-0.7278062	-0.7866541	-0.6853483
sal + phosphate	Atlantic	(28.1,28.15]	-0.9116607	-0.9154345	-0.9065563
sal + phosphate	Atlantic	(28.15,28.2]	-0.7746354	-0.7928679	-0.7615107
sal + phosphate	Atlantic	(28.2, Inf]	-0.9378627	-0.9432712	-0.9275265
sal + phosphate	Indo-Pacific	(-Inf,26]	-0.3400122	-0.3451852	-0.3322181
sal + phosphate	Indo-Pacific	(26,26.5]	-0.3747134	-0.3870818	-0.3522148
sal + phosphate	Indo-Pacific	(26.5,26.75]	-0.3789556	-0.3819324	-0.3754027
sal + phosphate	Indo-Pacific	(26.75,27]	-0.5536832	-0.5592039	-0.5490013
sal + phosphate	Indo-Pacific	(27,27.25]	-0.6404248	-0.6567573	-0.6256124
sal + phosphate	Indo-Pacific	(27.25,27.5]	-0.6194194	-0.6388962	-0.6084628
sal + phosphate	Indo-Pacific	(27.5,27.75]	-0.4247719	-0.4438121	-0.3988224
sal + phosphate	Indo-Pacific	(27.75,27.85]	-0.2120935	-0.2231935	-0.1920435
sal + phosphate	Indo-Pacific	(27.85,27.95]	-0.1319514	-0.1613720	-0.1125968
sal + phosphate	Indo-Pacific	(27.95,28.05]	0.1497705	0.1105128	0.1746761
sal + phosphate	Indo-Pacific	(28.05,28.1]	0.0274722	-0.0138018	0.0504794
sal + phosphate	Indo-Pacific	(28.1,28.2]	0.0058331	-0.0583857	0.0637804
sal + phosphate	Indo-Pacific	(28.2,28.3]	-0.3609336	-0.3740700	-0.3449218
sal + phosphate	Indo-Pacific	(28.3, Inf]	0.3157644	0.2768520	0.3583764
sal + phosphate	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
sal + phosphate	SO	(26,26.5]	0.1132518	-0.0407394	0.3049228
sal + phosphate	SO	(26.5,26.75]	-0.5330208	-0.5827197	-0.5052601
sal + phosphate	SO	(26.75,27]	-0.7278170	-0.7483873	-0.6985806
sal + phosphate	SO	(27,27.25]	-0.7336799	-0.7480517	-0.7171628
sal + phosphate	SO	(27.25,27.5]	-0.1783907	-0.2126064	-0.1370863
sal + phosphate	SO	(27.5,27.75]	0.3051906	0.2504152	0.3565938
sal + phosphate	SO	(27.75,27.85]	0.8095444	0.7940211	0.8253079
sal + phosphate	SO	(27.85,27.95]	0.6163845	0.5788739	0.6627248
sal + phosphate	SO	(27.95,28.05]	0.3919646	0.3585386	0.4143792
sal + phosphate	SO	(28.05,28.1]	0.2185448	0.1435092	0.3154310
sal + phosphate	SO	(28.1,28.15]	-0.6966901	-0.7164431	-0.6684256
sal + phosphate	SO	(28.1,28.2]	0.5915652	0.5569061	0.6201546
sal + phosphate	SO	(28.15,28.2]	-0.8053604	-0.8341381	-0.7706934
sal + phosphate	SO	(28.2, Inf]	0.0945263	0.0596306	0.1427395
sal + phosphate	SO	(28.2,28.3]	0.5173009	0.4823359	0.5414948
sal + phosphate	SO	(28.3, Inf]	0.3911116	0.2169305	0.5279962
sal + phosphate_star	Atlantic	(-Inf,26]	-0.3231235	-0.3745413	-0.2615202
sal + phosphate_star	Atlantic	(26,26.5]	-0.8676572	-0.8788540	-0.8469881
sal + phosphate_star	Atlantic	(26.5,26.75]	-0.7861849	-0.8001288	-0.7693703
sal + phosphate_star	Atlantic	(26.75,27]	-0.7460553	-0.7499906	-0.7416751
sal + phosphate_star	Atlantic	(27,27.25]	-0.7361683	-0.7535291	-0.7225205
sal + phosphate_star	Atlantic	(27.25,27.5]	-0.7023226	-0.7499607	-0.6583310
sal + phosphate_star	Atlantic	(27.5,27.75]	-0.1943836	-0.2392878	-0.1718810
sal + phosphate_star	Atlantic	(27.75,27.85]	-0.4069654	-0.5603228	-0.2908846
sal + phosphate_star	Atlantic	(27.85,27.95]	-0.3381688	-0.3959671	-0.2273949
sal + phosphate_star	Atlantic	(27.95,28.05]	-0.3993721	-0.4586102	-0.3017026
sal + phosphate_star	Atlantic	(28.05,28.1]	-0.7433334	-0.8072597	-0.6931407
sal + phosphate_star	Atlantic	(28.1,28.15]	-0.8932717	-0.8980795	-0.8856397
sal + phosphate_star	Atlantic	(28.15,28.2]	-0.7474995	-0.7636977	-0.7287735
sal + phosphate_star	Atlantic	(28.2, Inf]	-0.9309956	-0.9367232	-0.9208331
sal + phosphate_star	Indo-Pacific	(-Inf,26]	-0.7059003	-0.7064668	-0.7055348
sal + phosphate_star	Indo-Pacific	(26,26.5]	-0.8707835	-0.8765280	-0.8624448
sal + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.9005092	-0.9044912	-0.8962028
sal + phosphate_star	Indo-Pacific	(26.75,27]	-0.9229885	-0.9269238	-0.9184615
sal + phosphate_star	Indo-Pacific	(27,27.25]	-0.8957994	-0.8993946	-0.8889904
sal + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.8332374	-0.8351900	-0.8295390
sal + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.7630008	-0.7744821	-0.7494680
sal + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.8252215	-0.8565506	-0.7964314
sal + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.6866234	-0.7068428	-0.6706338
sal + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.4551917	-0.4665533	-0.4455826
sal + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.5496608	-0.6083663	-0.5070119
sal + phosphate_star	Indo-Pacific	(28.1,28.2]	-0.0182577	-0.0507801	0.0169840
sal + phosphate_star	Indo-Pacific	(28.2,28.3]	-0.3264612	-0.3857018	-0.2700751
sal + phosphate_star	Indo-Pacific	(28.3, Inf]	-0.8751429	-0.8952308	-0.8557146
sal + phosphate_star	SO	(-Inf,26]	0.0000000	-1.0000000	1.0000000
sal + phosphate_star	SO	(26,26.5]	-0.8410074	-0.8483591	-0.8304476
sal + phosphate_star	SO	(26.5,26.75]	-0.9403829	-0.9440703	-0.9356480
sal + phosphate_star	SO	(26.75,27]	-0.9258756	-0.9330703	-0.9153870
sal + phosphate_star	SO	(27,27.25]	-0.9588030	-0.9634814	-0.9561960
sal + phosphate_star	SO	(27.25,27.5]	-0.9544161	-0.9547325	-0.9540070
sal + phosphate_star	SO	(27.5,27.75]	-0.9175671	-0.9205222	-0.9132339
sal + phosphate_star	SO	(27.75,27.85]	-0.9523723	-0.9548344	-0.9494150
sal + phosphate_star	SO	(27.85,27.95]	-0.8903850	-0.8909307	-0.8900659
sal + phosphate_star	SO	(27.95,28.05]	-0.8246704	-0.8332025	-0.8192754
sal + phosphate_star	SO	(28.05,28.1]	-0.9049631	-0.9088995	-0.9001893
sal + phosphate_star	SO	(28.1,28.15]	-0.9776063	-0.9797069	-0.9759967
sal + phosphate_star	SO	(28.1,28.2]	-0.8126370	-0.8197331	-0.8072883
sal + phosphate_star	SO	(28.15,28.2]	-0.9895615	-0.9903379	-0.9880854
sal + phosphate_star	SO	(28.2, Inf]	-0.2585789	-0.2805449	-0.2475513
sal + phosphate_star	SO	(28.2,28.3]	-0.5061539	-0.5168112	-0.4944254
sal + phosphate_star	SO	(28.3, Inf]	-0.2345576	-0.4178319	-0.0648164
sal + silicate	Atlantic	(-Inf,26]	-0.8016028	-0.8249852	-0.7713127
sal + silicate	Atlantic	(26,26.5]	0.1448072	0.1105988	0.1982875
sal + silicate	Atlantic	(26.5,26.75]	0.2962185	0.2433603	0.3594045
sal + silicate	Atlantic	(26.75,27]	0.0336678	0.0145440	0.0626675
sal + silicate	Atlantic	(27,27.25]	-0.2632721	-0.2933251	-0.2418273
sal + silicate	Atlantic	(27.25,27.5]	-0.3287225	-0.4232399	-0.2349495
sal + silicate	Atlantic	(27.5,27.75]	0.1659620	0.1143551	0.1940194
sal + silicate	Atlantic	(27.75,27.85]	-0.4050859	-0.5655565	-0.2801458
sal + silicate	Atlantic	(27.85,27.95]	-0.4353637	-0.4924145	-0.3237180
sal + silicate	Atlantic	(27.95,28.05]	-0.5702416	-0.6222359	-0.4848635
sal + silicate	Atlantic	(28.05,28.1]	-0.8394827	-0.8793626	-0.8096317
sal + silicate	Atlantic	(28.1,28.15]	-0.8919994	-0.8949859	-0.8897204
sal + silicate	Atlantic	(28.15,28.2]	-0.6172328	-0.6256911	-0.6060030
sal + silicate	Atlantic	(28.2, Inf]	-0.8800864	-0.8826774	-0.8769189
sal + silicate	Indo-Pacific	(-Inf,26]	-0.5286952	-0.5323916	-0.5256643
sal + silicate	Indo-Pacific	(26,26.5]	-0.5924220	-0.6045976	-0.5729957
sal + silicate	Indo-Pacific	(26.5,26.75]	-0.6473574	-0.6507208	-0.6440631
sal + silicate	Indo-Pacific	(26.75,27]	-0.7404524	-0.7447175	-0.7345264
sal + silicate	Indo-Pacific	(27,27.25]	-0.7839034	-0.7947755	-0.7743564
sal + silicate	Indo-Pacific	(27.25,27.5]	-0.7508528	-0.7661024	-0.7412146
sal + silicate	Indo-Pacific	(27.5,27.75]	-0.5526848	-0.5713380	-0.5246769
sal + silicate	Indo-Pacific	(27.75,27.85]	-0.3386448	-0.3516550	-0.3206813
sal + silicate	Indo-Pacific	(27.85,27.95]	-0.2018299	-0.2227170	-0.1809753
sal + silicate	Indo-Pacific	(27.95,28.05]	0.1117444	0.0668878	0.1357627
sal + silicate	Indo-Pacific	(28.05,28.1]	0.0268889	-0.0119748	0.0505803
sal + silicate	Indo-Pacific	(28.1,28.2]	0.2204955	0.1717762	0.2670550
sal + silicate	Indo-Pacific	(28.2,28.3]	-0.0882468	-0.1308406	-0.0412915
sal + silicate	Indo-Pacific	(28.3, Inf]	0.7298293	0.7143866	0.7451161
sal + silicate	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
sal + silicate	SO	(26,26.5]	0.6626842	0.6353457	0.7132001
sal + silicate	SO	(26.5,26.75]	0.2716919	0.2141346	0.3233417
sal + silicate	SO	(26.75,27]	-0.1707577	-0.2029900	-0.1145280
sal + silicate	SO	(27,27.25]	-0.4594853	-0.4904091	-0.4317938
sal + silicate	SO	(27.25,27.5]	-0.0872216	-0.1181819	-0.0444436
sal + silicate	SO	(27.5,27.75]	0.3455373	0.2952404	0.3952038
sal + silicate	SO	(27.75,27.85]	0.8200805	0.8004913	0.8346403
sal + silicate	SO	(27.85,27.95]	0.7286586	0.7041940	0.7529815
sal + silicate	SO	(27.95,28.05]	0.5827291	0.5649125	0.5953247
sal + silicate	SO	(28.05,28.1]	0.5475365	0.5108601	0.6049851
sal + silicate	SO	(28.1,28.15]	-0.0841801	-0.1315979	-0.0345916
sal + silicate	SO	(28.1,28.2]	0.7765538	0.7585215	0.7925523
sal + silicate	SO	(28.15,28.2]	-0.1353846	-0.2087316	-0.0456215
sal + silicate	SO	(28.2, Inf]	0.5553926	0.5331353	0.5864526
sal + silicate	SO	(28.2,28.3]	0.8234137	0.8098047	0.8324587
sal + silicate	SO	(28.3, Inf]	0.2024973	0.0012017	0.3759156
sal + temp	Atlantic	(-Inf,26]	0.6756104	0.6220809	0.7111954
sal + temp	Atlantic	(26,26.5]	0.9558821	0.9535958	0.9582029
sal + temp	Atlantic	(26.5,26.75]	0.9693947	0.9687510	0.9698034
sal + temp	Atlantic	(26.75,27]	0.9668328	0.9664447	0.9673624
sal + temp	Atlantic	(27,27.25]	0.9564200	0.9522321	0.9611241
sal + temp	Atlantic	(27.25,27.5]	0.9591377	0.9574070	0.9617795
sal + temp	Atlantic	(27.5,27.75]	0.9648767	0.9638236	0.9662737
sal + temp	Atlantic	(27.75,27.85]	0.9592816	0.9580065	0.9606963
sal + temp	Atlantic	(27.85,27.95]	0.9265428	0.9208280	0.9311631
sal + temp	Atlantic	(27.95,28.05]	0.8457515	0.8301209	0.8682130
sal + temp	Atlantic	(28.05,28.1]	0.8744737	0.8671538	0.8871157
sal + temp	Atlantic	(28.1,28.15]	0.7825272	0.7702616	0.7895686
sal + temp	Atlantic	(28.15,28.2]	0.7296898	0.7265438	0.7325307
sal + temp	Atlantic	(28.2, Inf]	0.9112534	0.8661367	0.9455286
sal + temp	Indo-Pacific	(-Inf,26]	0.8191795	0.8170865	0.8213694
sal + temp	Indo-Pacific	(26,26.5]	0.9529928	0.9527018	0.9533225
sal + temp	Indo-Pacific	(26.5,26.75]	0.9799307	0.9787661	0.9811490
sal + temp	Indo-Pacific	(26.75,27]	0.9774272	0.9769580	0.9777883
sal + temp	Indo-Pacific	(27,27.25]	0.9745898	0.9738710	0.9755146
sal + temp	Indo-Pacific	(27.25,27.5]	0.9331803	0.9309536	0.9347773
sal + temp	Indo-Pacific	(27.5,27.75]	0.8191034	0.8111124	0.8242051
sal + temp	Indo-Pacific	(27.75,27.85]	0.9099256	0.8867848	0.9324616
sal + temp	Indo-Pacific	(27.85,27.95]	0.7524837	0.7362086	0.7640925
sal + temp	Indo-Pacific	(27.95,28.05]	0.8204379	0.8007721	0.8355790
sal + temp	Indo-Pacific	(28.05,28.1]	0.9448101	0.9434490	0.9469891
sal + temp	Indo-Pacific	(28.1,28.2]	0.0625375	0.0214725	0.0935636
sal + temp	Indo-Pacific	(28.2,28.3]	0.1871792	0.1638662	0.2144337
sal + temp	Indo-Pacific	(28.3, Inf]	0.9634898	0.9622594	0.9644310
sal + temp	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
sal + temp	SO	(26,26.5]	0.9190579	0.9120880	0.9236175
sal + temp	SO	(26.5,26.75]	0.9692887	0.9650391	0.9722236
sal + temp	SO	(26.75,27]	0.9634911	0.9619046	0.9666105
sal + temp	SO	(27,27.25]	0.9536974	0.9518234	0.9566854
sal + temp	SO	(27.25,27.5]	0.9414574	0.9382575	0.9434327
sal + temp	SO	(27.5,27.75]	0.8702492	0.8583893	0.8782430
sal + temp	SO	(27.75,27.85]	0.9535803	0.9527036	0.9549876
sal + temp	SO	(27.85,27.95]	0.9313869	0.9276242	0.9340392
sal + temp	SO	(27.95,28.05]	0.9152932	0.9116337	0.9204790
sal + temp	SO	(28.05,28.1]	0.9520090	0.9485948	0.9581517
sal + temp	SO	(28.1,28.15]	0.9525652	0.9509280	0.9537316
sal + temp	SO	(28.1,28.2]	0.8920243	0.8915915	0.8927960
sal + temp	SO	(28.15,28.2]	0.9639481	0.9591346	0.9665492
sal + temp	SO	(28.2, Inf]	0.7250143	0.7225673	0.7277372
sal + temp	SO	(28.2,28.3]	0.8104439	0.8063954	0.8129595
sal + temp	SO	(28.3, Inf]	0.6789890	0.6222219	0.7313375
silicate + phosphate	Atlantic	(-Inf,26]	-0.0334567	-0.2071265	0.0635363
silicate + phosphate	Atlantic	(26,26.5]	0.0259388	-0.0060076	0.0429865
silicate + phosphate	Atlantic	(26.5,26.75]	0.5772427	0.5377645	0.6163115
silicate + phosphate	Atlantic	(26.75,27]	0.8299979	0.8194985	0.8406718
silicate + phosphate	Atlantic	(27,27.25]	0.9147605	0.9140408	0.9160476
silicate + phosphate	Atlantic	(27.25,27.5]	0.9135198	0.9102014	0.9173126
silicate + phosphate	Atlantic	(27.5,27.75]	0.9139771	0.9126121	0.9159421
silicate + phosphate	Atlantic	(27.75,27.85]	0.8838387	0.8784658	0.8885734
silicate + phosphate	Atlantic	(27.85,27.95]	0.8998858	0.8985658	0.9024409
silicate + phosphate	Atlantic	(27.95,28.05]	0.9245147	0.9175680	0.9285914
silicate + phosphate	Atlantic	(28.05,28.1]	0.9584816	0.9545246	0.9644523
silicate + phosphate	Atlantic	(28.1,28.15]	0.9624525	0.9617829	0.9632802
silicate + phosphate	Atlantic	(28.15,28.2]	0.9609147	0.9595997	0.9616810
silicate + phosphate	Atlantic	(28.2, Inf]	0.9741388	0.9733933	0.9749386
silicate + phosphate	Indo-Pacific	(-Inf,26]	0.8855443	0.8838899	0.8867771
silicate + phosphate	Indo-Pacific	(26,26.5]	0.8752609	0.8725149	0.8769728
silicate + phosphate	Indo-Pacific	(26.5,26.75]	0.8503917	0.8455579	0.8557421
silicate + phosphate	Indo-Pacific	(26.75,27]	0.8881716	0.8837248	0.8911173
silicate + phosphate	Indo-Pacific	(27,27.25]	0.9203408	0.9183752	0.9239275
silicate + phosphate	Indo-Pacific	(27.25,27.5]	0.9336757	0.9313165	0.9368967
silicate + phosphate	Indo-Pacific	(27.5,27.75]	0.9342158	0.9339338	0.9347264
silicate + phosphate	Indo-Pacific	(27.75,27.85]	0.9498348	0.9463443	0.9535472
silicate + phosphate	Indo-Pacific	(27.85,27.95]	0.9502654	0.9435301	0.9559261
silicate + phosphate	Indo-Pacific	(27.95,28.05]	0.9742599	0.9742407	0.9742856
silicate + phosphate	Indo-Pacific	(28.05,28.1]	0.9754471	0.9742280	0.9776755
silicate + phosphate	Indo-Pacific	(28.1,28.2]	0.9099386	0.9062159	0.9123667
silicate + phosphate	Indo-Pacific	(28.2,28.3]	0.8271779	0.8219080	0.8314250
silicate + phosphate	Indo-Pacific	(28.3, Inf]	0.8287407	0.8125543	0.8495473
silicate + phosphate	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
silicate + phosphate	SO	(26,26.5]	0.7583140	0.6890436	0.8134576
silicate + phosphate	SO	(26.5,26.75]	0.6002327	0.5105818	0.6682873
silicate + phosphate	SO	(26.75,27]	0.7527149	0.7430694	0.7646918
silicate + phosphate	SO	(27,27.25]	0.9002140	0.8958388	0.9045242
silicate + phosphate	SO	(27.25,27.5]	0.9642571	0.9639450	0.9645005
silicate + phosphate	SO	(27.5,27.75]	0.9726168	0.9720069	0.9732046
silicate + phosphate	SO	(27.75,27.85]	0.9781276	0.9770596	0.9792575
silicate + phosphate	SO	(27.85,27.95]	0.9678885	0.9637407	0.9725410
silicate + phosphate	SO	(27.95,28.05]	0.9497507	0.9452576	0.9552372
silicate + phosphate	SO	(28.05,28.1]	0.9144382	0.8990539	0.9276078
silicate + phosphate	SO	(28.1,28.15]	0.7292867	0.7126903	0.7584231
silicate + phosphate	SO	(28.1,28.2]	0.9577912	0.9544741	0.9598822
silicate + phosphate	SO	(28.15,28.2]	0.6653886	0.6373538	0.6835269
silicate + phosphate	SO	(28.2, Inf]	0.8559963	0.8516381	0.8614526
silicate + phosphate	SO	(28.2,28.3]	0.8835406	0.8744707	0.8901028
silicate + phosphate	SO	(28.3, Inf]	0.9014076	0.8939280	0.9061716
silicate + phosphate_star	Atlantic	(-Inf,26]	-0.0161714	-0.1543538	0.0997170
silicate + phosphate_star	Atlantic	(26,26.5]	-0.3022485	-0.3338000	-0.2786688
silicate + phosphate_star	Atlantic	(26.5,26.75]	0.0582388	-0.0298014	0.1354520
silicate + phosphate_star	Atlantic	(26.75,27]	0.4535928	0.4178257	0.4850234
silicate + phosphate_star	Atlantic	(27,27.25]	0.7956344	0.7902079	0.8020972
silicate + phosphate_star	Atlantic	(27.25,27.5]	0.8882770	0.8713365	0.9024894
silicate + phosphate_star	Atlantic	(27.5,27.75]	0.9218444	0.9196164	0.9238330
silicate + phosphate_star	Atlantic	(27.75,27.85]	0.9895985	0.9884758	0.9914731
silicate + phosphate_star	Atlantic	(27.85,27.95]	0.9782176	0.9776704	0.9789220
silicate + phosphate_star	Atlantic	(27.95,28.05]	0.9690722	0.9676813	0.9701954
silicate + phosphate_star	Atlantic	(28.05,28.1]	0.9727444	0.9675604	0.9788560
silicate + phosphate_star	Atlantic	(28.1,28.15]	0.9656259	0.9636731	0.9688410
silicate + phosphate_star	Atlantic	(28.15,28.2]	0.9680024	0.9672680	0.9687210
silicate + phosphate_star	Atlantic	(28.2, Inf]	0.9826881	0.9809343	0.9839196
silicate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7720717	0.7659514	0.7771491
silicate + phosphate_star	Indo-Pacific	(26,26.5]	0.7796247	0.7715807	0.7852843
silicate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.8020013	0.7964627	0.8075252
silicate + phosphate_star	Indo-Pacific	(26.75,27]	0.8304079	0.8275293	0.8335266
silicate + phosphate_star	Indo-Pacific	(27,27.25]	0.8650609	0.8555979	0.8747810
silicate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.7992823	0.7808288	0.8191599
silicate + phosphate_star	Indo-Pacific	(27.5,27.75]	0.6821229	0.6748815	0.6891024
silicate + phosphate_star	Indo-Pacific	(27.75,27.85]	0.5586053	0.5412704	0.5789302
silicate + phosphate_star	Indo-Pacific	(27.85,27.95]	0.6096874	0.5851016	0.6245611
silicate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.6160972	0.6014837	0.6448742
silicate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.6834841	0.6681743	0.6911883
silicate + phosphate_star	Indo-Pacific	(28.1,28.2]	0.7676903	0.7582420	0.7765284
silicate + phosphate_star	Indo-Pacific	(28.2,28.3]	0.7121830	0.6856136	0.7314129
silicate + phosphate_star	Indo-Pacific	(28.3, Inf]	-0.3672291	-0.4290838	-0.3294141
silicate + phosphate_star	SO	(-Inf,26]	0.0000000	-1.0000000	1.0000000
silicate + phosphate_star	SO	(26,26.5]	-0.5098858	-0.5664588	-0.4693556
silicate + phosphate_star	SO	(26.5,26.75]	-0.1516326	-0.1851474	-0.0986120
silicate + phosphate_star	SO	(26.75,27]	0.2740956	0.2422659	0.2962897
silicate + phosphate_star	SO	(27,27.25]	0.4924362	0.4682655	0.5192396
silicate + phosphate_star	SO	(27.25,27.5]	0.2425869	0.2128554	0.2646507
silicate + phosphate_star	SO	(27.5,27.75]	-0.0252255	-0.0606688	0.0207972
silicate + phosphate_star	SO	(27.75,27.85]	-0.6748263	-0.6893880	-0.6470284
silicate + phosphate_star	SO	(27.85,27.95]	-0.4881505	-0.5195499	-0.4577567
silicate + phosphate_star	SO	(27.95,28.05]	-0.3559571	-0.3737925	-0.3456591
silicate + phosphate_star	SO	(28.05,28.1]	-0.4091180	-0.4336538	-0.3945556
silicate + phosphate_star	SO	(28.1,28.15]	-0.0007715	-0.0594182	0.0571474
silicate + phosphate_star	SO	(28.1,28.2]	-0.4011616	-0.4441758	-0.3595914
silicate + phosphate_star	SO	(28.15,28.2]	0.1163352	0.0211526	0.1841950
silicate + phosphate_star	SO	(28.2, Inf]	0.6133555	0.5924781	0.6401872
silicate + phosphate_star	SO	(28.2,28.3]	-0.0715534	-0.0930977	-0.0314244
silicate + phosphate_star	SO	(28.3, Inf]	0.8731721	0.8680797	0.8795084
temp + aou	Atlantic	(-Inf,26]	-0.6525019	-0.7066205	-0.6081655
temp + aou	Atlantic	(26,26.5]	-0.4219797	-0.4574307	-0.3708868
temp + aou	Atlantic	(26.5,26.75]	0.1246109	0.1033786	0.1634361
temp + aou	Atlantic	(26.75,27]	0.2805828	0.2602374	0.2910659
temp + aou	Atlantic	(27,27.25]	0.1595262	0.1499483	0.1721976
temp + aou	Atlantic	(27.25,27.5]	0.1179813	0.0539195	0.1611174
temp + aou	Atlantic	(27.5,27.75]	0.4945936	0.4575987	0.5165874
temp + aou	Atlantic	(27.75,27.85]	0.2847679	0.1328424	0.3616026
temp + aou	Atlantic	(27.85,27.95]	0.1471046	0.0589251	0.2719160
temp + aou	Atlantic	(27.95,28.05]	-0.1277909	-0.1655015	-0.0624716
temp + aou	Atlantic	(28.05,28.1]	-0.5234216	-0.5645280	-0.4749580
temp + aou	Atlantic	(28.1,28.15]	-0.6829198	-0.6931445	-0.6741736
temp + aou	Atlantic	(28.15,28.2]	-0.7977862	-0.8119238	-0.7821094
temp + aou	Atlantic	(28.2, Inf]	-0.9009367	-0.9309168	-0.8599334
temp + aou	Indo-Pacific	(-Inf,26]	-0.3745393	-0.3840351	-0.3669477
temp + aou	Indo-Pacific	(26,26.5]	-0.2054787	-0.2182870	-0.1834410
temp + aou	Indo-Pacific	(26.5,26.75]	-0.1659257	-0.1664082	-0.1651242
temp + aou	Indo-Pacific	(26.75,27]	-0.3369760	-0.3396426	-0.3336134
temp + aou	Indo-Pacific	(27,27.25]	-0.5294593	-0.5488710	-0.5192705
temp + aou	Indo-Pacific	(27.25,27.5]	-0.5278025	-0.5583023	-0.5100534
temp + aou	Indo-Pacific	(27.5,27.75]	-0.2854697	-0.2985977	-0.2708468
temp + aou	Indo-Pacific	(27.75,27.85]	-0.0965632	-0.1202216	-0.0713188
temp + aou	Indo-Pacific	(27.85,27.95]	-0.0583606	-0.0827007	-0.0380930
temp + aou	Indo-Pacific	(27.95,28.05]	0.1149192	0.0659041	0.1398814
temp + aou	Indo-Pacific	(28.05,28.1]	0.1614844	0.1471729	0.1835988
temp + aou	Indo-Pacific	(28.1,28.2]	0.1926266	0.1911498	0.1933927
temp + aou	Indo-Pacific	(28.2,28.3]	0.4683663	0.4573431	0.4824295
temp + aou	Indo-Pacific	(28.3, Inf]	0.7064794	0.6926819	0.7258609
temp + aou	SO	(-Inf,26]	0.0000000	-1.0000000	1.0000000
temp + aou	SO	(26,26.5]	0.5742306	0.5275826	0.6410238
temp + aou	SO	(26.5,26.75]	0.0909721	0.0644591	0.1275715
temp + aou	SO	(26.75,27]	-0.2537411	-0.2719107	-0.2200111
temp + aou	SO	(27,27.25]	-0.1377421	-0.1501260	-0.1311619
temp + aou	SO	(27.25,27.5]	0.3025224	0.2780312	0.3253968
temp + aou	SO	(27.5,27.75]	0.3592632	0.3231013	0.3796628
temp + aou	SO	(27.75,27.85]	0.8250330	0.8153843	0.8409793
temp + aou	SO	(27.85,27.95]	0.7523795	0.7440149	0.7690576
temp + aou	SO	(27.95,28.05]	0.7888121	0.7799501	0.7990661
temp + aou	SO	(28.05,28.1]	0.7719899	0.7541426	0.7937296
temp + aou	SO	(28.1,28.15]	0.4716097	0.4590051	0.4786012
temp + aou	SO	(28.1,28.2]	0.7982055	0.7864285	0.8128313
temp + aou	SO	(28.15,28.2]	0.3178057	0.2813794	0.3847611
temp + aou	SO	(28.2, Inf]	0.1880033	0.1185292	0.2532331
temp + aou	SO	(28.2,28.3]	0.7797329	0.7698024	0.7871807
temp + aou	SO	(28.3, Inf]	0.8614902	0.8548697	0.8666739
temp + nitrate	Atlantic	(-Inf,26]	-0.7620459	-0.7869124	-0.7486958
temp + nitrate	Atlantic	(26,26.5]	-0.4696259	-0.4909977	-0.4339908
temp + nitrate	Atlantic	(26.5,26.75]	0.0593116	0.0277870	0.1136888
temp + nitrate	Atlantic	(26.75,27]	0.2084909	0.1897714	0.2190917
temp + nitrate	Atlantic	(27,27.25]	0.0319910	0.0173988	0.0450755
temp + nitrate	Atlantic	(27.25,27.5]	-0.0480369	-0.1285962	0.0191569
temp + nitrate	Atlantic	(27.5,27.75]	0.3941775	0.3490075	0.4205169
temp + nitrate	Atlantic	(27.75,27.85]	0.0190499	-0.1657143	0.1379928
temp + nitrate	Atlantic	(27.85,27.95]	-0.0684569	-0.1437766	0.0636053
temp + nitrate	Atlantic	(27.95,28.05]	-0.2066908	-0.2549959	-0.1356510
temp + nitrate	Atlantic	(28.05,28.1]	-0.5299520	-0.5951217	-0.4610212
temp + nitrate	Atlantic	(28.1,28.15]	-0.7009561	-0.7093287	-0.6922007
temp + nitrate	Atlantic	(28.15,28.2]	-0.8309808	-0.8567553	-0.8167934
temp + nitrate	Atlantic	(28.2, Inf]	-0.8781637	-0.9320052	-0.8016024
temp + nitrate	Indo-Pacific	(-Inf,26]	-0.5251393	-0.5354013	-0.5197123
temp + nitrate	Indo-Pacific	(26,26.5]	-0.4538619	-0.4623551	-0.4382569
temp + nitrate	Indo-Pacific	(26.5,26.75]	-0.4482647	-0.4521791	-0.4451260
temp + nitrate	Indo-Pacific	(26.75,27]	-0.5975694	-0.6053427	-0.5934956
temp + nitrate	Indo-Pacific	(27,27.25]	-0.7193098	-0.7294191	-0.7103786
temp + nitrate	Indo-Pacific	(27.25,27.5]	-0.6967543	-0.7168191	-0.6848896
temp + nitrate	Indo-Pacific	(27.5,27.75]	-0.5152824	-0.5295947	-0.5005749
temp + nitrate	Indo-Pacific	(27.75,27.85]	-0.2527542	-0.2701215	-0.2363486
temp + nitrate	Indo-Pacific	(27.85,27.95]	-0.2356427	-0.2635300	-0.2197284
temp + nitrate	Indo-Pacific	(27.95,28.05]	0.0038824	-0.0473166	0.0357924
temp + nitrate	Indo-Pacific	(28.05,28.1]	0.0434398	0.0255722	0.0642337
temp + nitrate	Indo-Pacific	(28.1,28.2]	0.0563258	0.0523984	0.0641652
temp + nitrate	Indo-Pacific	(28.2,28.3]	0.3340098	0.3240728	0.3452508
temp + nitrate	Indo-Pacific	(28.3, Inf]	0.2294990	0.1897246	0.2591904
temp + nitrate	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
temp + nitrate	SO	(26,26.5]	0.1929992	0.0637600	0.3487788
temp + nitrate	SO	(26.5,26.75]	-0.4563921	-0.5214959	-0.4210734
temp + nitrate	SO	(26.75,27]	-0.6981355	-0.7157961	-0.6714221
temp + nitrate	SO	(27,27.25]	-0.7065795	-0.7250333	-0.6883940
temp + nitrate	SO	(27.25,27.5]	-0.3491379	-0.3732697	-0.3239457
temp + nitrate	SO	(27.5,27.75]	-0.1202468	-0.1633178	-0.0883964
temp + nitrate	SO	(27.75,27.85]	0.6945820	0.6907394	0.7011048
temp + nitrate	SO	(27.85,27.95]	0.5151679	0.4795938	0.5655380
temp + nitrate	SO	(27.95,28.05]	0.3993047	0.3689341	0.4182303
temp + nitrate	SO	(28.05,28.1]	0.2525684	0.1729656	0.3419535
temp + nitrate	SO	(28.1,28.15]	-0.6876146	-0.7088629	-0.6755237
temp + nitrate	SO	(28.1,28.2]	0.5654539	0.5359864	0.5964592
temp + nitrate	SO	(28.15,28.2]	-0.7921159	-0.8240545	-0.7760933
temp + nitrate	SO	(28.2, Inf]	-0.6332098	-0.6530106	-0.5981260
temp + nitrate	SO	(28.2,28.3]	0.5977309	0.5797836	0.6094233
temp + nitrate	SO	(28.3, Inf]	0.0702576	-0.0111392	0.1314240
temp + phosphate	Atlantic	(-Inf,26]	-0.6752767	-0.7554503	-0.5925847
temp + phosphate	Atlantic	(26,26.5]	-0.6504053	-0.6742270	-0.6341845
temp + phosphate	Atlantic	(26.5,26.75]	-0.0998005	-0.1254724	-0.0533764
temp + phosphate	Atlantic	(26.75,27]	0.1007307	0.0785777	0.1137385
temp + phosphate	Atlantic	(27,27.25]	-0.0623000	-0.0791549	-0.0468678
temp + phosphate	Atlantic	(27.25,27.5]	-0.1177162	-0.1962348	-0.0524239
temp + phosphate	Atlantic	(27.5,27.75]	0.3346866	0.2883160	0.3617136
temp + phosphate	Atlantic	(27.75,27.85]	-0.0286607	-0.2141753	0.0918425
temp + phosphate	Atlantic	(27.85,27.95]	-0.1126466	-0.1873502	0.0197218
temp + phosphate	Atlantic	(27.95,28.05]	-0.2357760	-0.2844858	-0.1646231
temp + phosphate	Atlantic	(28.05,28.1]	-0.5551507	-0.6198796	-0.4864545
temp + phosphate	Atlantic	(28.1,28.15]	-0.7271619	-0.7357409	-0.7179271
temp + phosphate	Atlantic	(28.15,28.2]	-0.8493004	-0.8743607	-0.8348989
temp + phosphate	Atlantic	(28.2, Inf]	-0.8780177	-0.9284844	-0.8057593
temp + phosphate	Indo-Pacific	(-Inf,26]	-0.4955657	-0.5059202	-0.4902045
temp + phosphate	Indo-Pacific	(26,26.5]	-0.4298123	-0.4394771	-0.4116266
temp + phosphate	Indo-Pacific	(26.5,26.75]	-0.3757081	-0.3792449	-0.3714656
temp + phosphate	Indo-Pacific	(26.75,27]	-0.5221680	-0.5264071	-0.5189145
temp + phosphate	Indo-Pacific	(27,27.25]	-0.6384637	-0.6533683	-0.6277732
temp + phosphate	Indo-Pacific	(27.25,27.5]	-0.6348280	-0.6566912	-0.6211701
temp + phosphate	Indo-Pacific	(27.5,27.75]	-0.4236613	-0.4404455	-0.4077427
temp + phosphate	Indo-Pacific	(27.75,27.85]	-0.1854897	-0.2089813	-0.1637495
temp + phosphate	Indo-Pacific	(27.85,27.95]	-0.1487631	-0.1763563	-0.1274263
temp + phosphate	Indo-Pacific	(27.95,28.05]	0.0703759	0.0185951	0.0971825
temp + phosphate	Indo-Pacific	(28.05,28.1]	0.1292676	0.1110451	0.1509539
temp + phosphate	Indo-Pacific	(28.1,28.2]	0.1479066	0.1451668	0.1512034
temp + phosphate	Indo-Pacific	(28.2,28.3]	0.4203199	0.4110486	0.4325207
temp + phosphate	Indo-Pacific	(28.3, Inf]	0.4230831	0.3938870	0.4474101
temp + phosphate	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
temp + phosphate	SO	(26,26.5]	0.0668674	-0.0524098	0.1946421
temp + phosphate	SO	(26.5,26.75]	-0.5258561	-0.5786816	-0.4993076
temp + phosphate	SO	(26.75,27]	-0.7254302	-0.7409218	-0.7051745
temp + phosphate	SO	(27,27.25]	-0.7202061	-0.7359269	-0.7053753
temp + phosphate	SO	(27.25,27.5]	-0.3718862	-0.3966999	-0.3464188
temp + phosphate	SO	(27.5,27.75]	-0.1188265	-0.1623967	-0.0869655
temp + phosphate	SO	(27.75,27.85]	0.6931750	0.6881060	0.7000547
temp + phosphate	SO	(27.85,27.95]	0.5247718	0.4915856	0.5700824
temp + phosphate	SO	(27.95,28.05]	0.4006947	0.3729937	0.4180497
temp + phosphate	SO	(28.05,28.1]	0.2858544	0.2096142	0.3709538
temp + phosphate	SO	(28.1,28.15]	-0.6680345	-0.6900551	-0.6544752
temp + phosphate	SO	(28.1,28.2]	0.5925346	0.5638913	0.6218032
temp + phosphate	SO	(28.15,28.2]	-0.7667525	-0.8039917	-0.7470904
temp + phosphate	SO	(28.2, Inf]	-0.4526973	-0.4816111	-0.4053693
temp + phosphate	SO	(28.2,28.3]	0.6462806	0.6302494	0.6564409
temp + phosphate	SO	(28.3, Inf]	-0.0294338	-0.0992801	0.0151778
temp + phosphate_star	Atlantic	(-Inf,26]	-0.7340052	-0.7670389	-0.6725483
temp + phosphate_star	Atlantic	(26,26.5]	-0.8560564	-0.8665939	-0.8379881
temp + phosphate_star	Atlantic	(26.5,26.75]	-0.8089451	-0.8257528	-0.7902845
temp + phosphate_star	Atlantic	(26.75,27]	-0.7807752	-0.7832505	-0.7794275
temp + phosphate_star	Atlantic	(27,27.25]	-0.7276061	-0.7391320	-0.7148859
temp + phosphate_star	Atlantic	(27.25,27.5]	-0.6501995	-0.6982958	-0.6083361
temp + phosphate_star	Atlantic	(27.5,27.75]	-0.2067733	-0.2442528	-0.1831668
temp + phosphate_star	Atlantic	(27.75,27.85]	-0.4040411	-0.5562240	-0.2925575
temp + phosphate_star	Atlantic	(27.85,27.95]	-0.4029529	-0.4573212	-0.2961310
temp + phosphate_star	Atlantic	(27.95,28.05]	-0.4075817	-0.4550024	-0.3453318
temp + phosphate_star	Atlantic	(28.05,28.1]	-0.6272630	-0.7005067	-0.5507587
temp + phosphate_star	Atlantic	(28.1,28.15]	-0.7862813	-0.7923123	-0.7766528
temp + phosphate_star	Atlantic	(28.15,28.2]	-0.8946385	-0.9240561	-0.8760400
temp + phosphate_star	Atlantic	(28.2, Inf]	-0.8863870	-0.9375171	-0.8123685
temp + phosphate_star	Indo-Pacific	(-Inf,26]	-0.8439696	-0.8489830	-0.8398454
temp + phosphate_star	Indo-Pacific	(26,26.5]	-0.9168381	-0.9197100	-0.9131116
temp + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.9183309	-0.9208171	-0.9156268
temp + phosphate_star	Indo-Pacific	(26.75,27]	-0.9355364	-0.9389163	-0.9313270
temp + phosphate_star	Indo-Pacific	(27,27.25]	-0.9250550	-0.9270214	-0.9217756
temp + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.9194003	-0.9200947	-0.9189816
temp + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.9261867	-0.9315985	-0.9225310
temp + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.8681059	-0.8725734	-0.8628927
temp + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.8667512	-0.8741845	-0.8591531
temp + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.6326746	-0.6681152	-0.6079347
temp + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.4687259	-0.5109201	-0.4378629
temp + phosphate_star	Indo-Pacific	(28.1,28.2]	-0.5296099	-0.5414660	-0.5076588
temp + phosphate_star	Indo-Pacific	(28.2,28.3]	-0.3503666	-0.3743142	-0.3322647
temp + phosphate_star	Indo-Pacific	(28.3, Inf]	-0.8389178	-0.8633364	-0.8203627
temp + phosphate_star	SO	(-Inf,26]	0.0000000	-1.0000000	1.0000000
temp + phosphate_star	SO	(26,26.5]	-0.9425813	-0.9566862	-0.9354223
temp + phosphate_star	SO	(26.5,26.75]	-0.9621208	-0.9643607	-0.9581693
temp + phosphate_star	SO	(26.75,27]	-0.9534388	-0.9580123	-0.9473700
temp + phosphate_star	SO	(27,27.25]	-0.9807683	-0.9822522	-0.9790786
temp + phosphate_star	SO	(27.25,27.5]	-0.9912201	-0.9916111	-0.9906259
temp + phosphate_star	SO	(27.5,27.75]	-0.9772544	-0.9784872	-0.9751161
temp + phosphate_star	SO	(27.75,27.85]	-0.9576475	-0.9626247	-0.9546055
temp + phosphate_star	SO	(27.85,27.95]	-0.9168775	-0.9175060	-0.9159710
temp + phosphate_star	SO	(27.95,28.05]	-0.8940062	-0.8985002	-0.8892578
temp + phosphate_star	SO	(28.05,28.1]	-0.9048342	-0.9120945	-0.9002888
temp + phosphate_star	SO	(28.1,28.15]	-0.9630773	-0.9653304	-0.9592418
temp + phosphate_star	SO	(28.1,28.2]	-0.8514217	-0.8552550	-0.8491642
temp + phosphate_star	SO	(28.15,28.2]	-0.9773220	-0.9784127	-0.9762364
temp + phosphate_star	SO	(28.2, Inf]	-0.7721053	-0.7852689	-0.7623552
temp + phosphate_star	SO	(28.2,28.3]	-0.6439213	-0.6581238	-0.6249184
temp + phosphate_star	SO	(28.3, Inf]	-0.6911560	-0.7249461	-0.6572506
temp + silicate	Atlantic	(-Inf,26]	-0.4323761	-0.4862671	-0.3793988
temp + silicate	Atlantic	(26,26.5]	0.0941125	0.0706838	0.1305512
temp + silicate	Atlantic	(26.5,26.75]	0.1924604	0.1328027	0.2629430
temp + silicate	Atlantic	(26.75,27]	-0.1009755	-0.1251665	-0.0766732
temp + silicate	Atlantic	(27,27.25]	-0.2747018	-0.2925012	-0.2596652
temp + silicate	Atlantic	(27.25,27.5]	-0.2662729	-0.3573668	-0.1784931
temp + silicate	Atlantic	(27.5,27.75]	0.1645811	0.1212197	0.1885095
temp + silicate	Atlantic	(27.75,27.85]	-0.3855828	-0.5407555	-0.2677498
temp + silicate	Atlantic	(27.85,27.95]	-0.4605910	-0.5173864	-0.3501966
temp + silicate	Atlantic	(27.95,28.05]	-0.5460574	-0.5788557	-0.4983745
temp + silicate	Atlantic	(28.05,28.1]	-0.7443245	-0.7902847	-0.6924198
temp + silicate	Atlantic	(28.1,28.15]	-0.8443570	-0.8501704	-0.8410324
temp + silicate	Atlantic	(28.15,28.2]	-0.8566378	-0.8732395	-0.8481728
temp + silicate	Atlantic	(28.2, Inf]	-0.8942834	-0.9277937	-0.8448971
temp + silicate	Indo-Pacific	(-Inf,26]	-0.5994927	-0.6014632	-0.5963995
temp + silicate	Indo-Pacific	(26,26.5]	-0.6208664	-0.6295444	-0.6074388
temp + silicate	Indo-Pacific	(26.5,26.75]	-0.6490872	-0.6535635	-0.6463716
temp + silicate	Indo-Pacific	(26.75,27]	-0.7221141	-0.7248316	-0.7180511
temp + silicate	Indo-Pacific	(27,27.25]	-0.7955908	-0.8041956	-0.7889084
temp + silicate	Indo-Pacific	(27.25,27.5]	-0.7827710	-0.7990429	-0.7720749
temp + silicate	Indo-Pacific	(27.5,27.75]	-0.6163162	-0.6305260	-0.6069225
temp + silicate	Indo-Pacific	(27.75,27.85]	-0.3550778	-0.3707679	-0.3357852
temp + silicate	Indo-Pacific	(27.85,27.95]	-0.3220839	-0.3405538	-0.3054699
temp + silicate	Indo-Pacific	(27.95,28.05]	0.0003529	-0.0594107	0.0377089
temp + silicate	Indo-Pacific	(28.05,28.1]	0.0979066	0.0823445	0.1197765
temp + silicate	Indo-Pacific	(28.1,28.2]	-0.1361098	-0.1386042	-0.1342110
temp + silicate	Indo-Pacific	(28.2,28.3]	0.1359877	0.1273526	0.1419937
temp + silicate	Indo-Pacific	(28.3, Inf]	0.7623625	0.7541867	0.7774477
temp + silicate	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
temp + silicate	SO	(26,26.5]	0.6065589	0.5850563	0.6382604
temp + silicate	SO	(26.5,26.75]	0.2586019	0.2000068	0.3027231
temp + silicate	SO	(26.75,27]	-0.2131217	-0.2435168	-0.1689528
temp + silicate	SO	(27,27.25]	-0.4981964	-0.5296775	-0.4703846
temp + silicate	SO	(27.25,27.5]	-0.3068353	-0.3298574	-0.2779691
temp + silicate	SO	(27.5,27.75]	-0.0689793	-0.1097075	-0.0401504
temp + silicate	SO	(27.75,27.85]	0.7083424	0.6976157	0.7146494
temp + silicate	SO	(27.85,27.95]	0.6352879	0.6144589	0.6584421
temp + silicate	SO	(27.95,28.05]	0.5544127	0.5392883	0.5718849
temp + silicate	SO	(28.05,28.1]	0.6057106	0.5702338	0.6502676
temp + silicate	SO	(28.1,28.15]	-0.0225273	-0.0533620	0.0109870
temp + silicate	SO	(28.1,28.2]	0.7230293	0.7081843	0.7392553
temp + silicate	SO	(28.15,28.2]	-0.0721326	-0.1560543	-0.0041147
temp + silicate	SO	(28.2, Inf]	-0.0389619	-0.0631214	-0.0012251
temp + silicate	SO	(28.2,28.3]	0.7332753	0.7247805	0.7402946
temp + silicate	SO	(28.3, Inf]	-0.3292764	-0.3858540	-0.2820822

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
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
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]	0.3435985	0.2428729	0.4709803
aou	Atlantic	(26,26.5]	0.0279686	-0.0513709	0.1190541
aou	Atlantic	(26.5,26.75]	0.0041238	-0.1191884	0.1906113
aou	Atlantic	(26.75,27]	-0.0711038	-0.2194093	0.1175110
aou	Atlantic	(27,27.25]	-0.5368471	-0.6140728	-0.4366649
aou	Atlantic	(27.25,27.5]	-0.6895276	-0.7326930	-0.6388892
aou	Atlantic	(27.5,27.75]	-0.7787328	-0.7879746	-0.7680307
aou	Atlantic	(27.75,27.85]	-0.7764277	-0.8142167	-0.7439137
aou	Atlantic	(27.85,27.95]	-0.8593366	-0.8694715	-0.8489493
aou	Atlantic	(27.95,28.05]	-0.7835938	-0.7983687	-0.7661795
aou	Atlantic	(28.05,28.1]	-0.9585068	-0.9694641	-0.9509531
aou	Atlantic	(28.1,28.15]	-0.9579668	-0.9628332	-0.9553830
aou	Atlantic	(28.15,28.2]	-0.9487475	-0.9607367	-0.9409096
aou	Atlantic	(28.2, Inf]	-0.9539487	-0.9695495	-0.9300209
aou	Indo-Pacific	(-Inf,26]	-0.0746458	-0.1727947	0.0590430
aou	Indo-Pacific	(26,26.5]	-0.4335113	-0.5475239	-0.2745885
aou	Indo-Pacific	(26.5,26.75]	-0.7471329	-0.8143095	-0.6454001
aou	Indo-Pacific	(26.75,27]	-0.8275273	-0.8650084	-0.7749548
aou	Indo-Pacific	(27,27.25]	-0.6586953	-0.7435772	-0.5519609
aou	Indo-Pacific	(27.25,27.5]	-0.4103499	-0.5675069	-0.2087996
aou	Indo-Pacific	(27.5,27.75]	0.2246695	0.0373829	0.4413894
aou	Indo-Pacific	(27.75,27.85]	0.8302100	0.7945208	0.8727743
aou	Indo-Pacific	(27.85,27.95]	0.9055657	0.8894337	0.9214897
aou	Indo-Pacific	(27.95,28.05]	0.9441401	0.9422795	0.9475315
aou	Indo-Pacific	(28.05,28.1]	0.9445099	0.9383575	0.9502542
aou	Indo-Pacific	(28.1,28.2]	0.8412627	0.8315120	0.8496984
aou	Indo-Pacific	(28.2,28.3]	0.6322838	0.6273934	0.6386311
aou	Indo-Pacific	(28.3, Inf]	0.5024953	0.4500642	0.5673319
aou	SO	(-Inf,26]	NA	NA	NA
aou	SO	(26,26.5]	0.0530026	-0.1174897	0.1827141
aou	SO	(26.5,26.75]	-0.3539271	-0.5150388	-0.1838955
aou	SO	(26.75,27]	-0.5527387	-0.5845193	-0.4956156
aou	SO	(27,27.25]	-0.4835304	-0.5544508	-0.3972048
aou	SO	(27.25,27.5]	-0.3265581	-0.4932322	-0.1075590
aou	SO	(27.5,27.75]	-0.4664175	-0.7143014	-0.1051021
aou	SO	(27.75,27.85]	-0.5214191	-0.8500925	0.0247983
aou	SO	(27.85,27.95]	-0.4772957	-0.7230236	-0.1066369
aou	SO	(27.95,28.05]	-0.5520004	-0.7710357	-0.2402017
aou	SO	(28.05,28.1]	-0.5037246	-0.7615486	-0.1523625
aou	SO	(28.1,28.15]	-0.0473088	-0.2469506	0.1470130
aou	SO	(28.1,28.2]	-0.7353888	-0.9221181	-0.4176478
aou	SO	(28.15,28.2]	-0.1472736	-0.2322111	-0.0886871
aou	SO	(28.2, Inf]	-0.2837204	-0.3192846	-0.2493851
aou	SO	(28.2,28.3]	-0.5034484	-0.6967892	-0.2109182
aou	SO	(28.3, Inf]	0.7269259	0.6694993	0.7953825
nitrate	Atlantic	(-Inf,26]	0.0404933	-0.0449145	0.2002087
nitrate	Atlantic	(26,26.5]	-0.1886961	-0.2624968	-0.0904882
nitrate	Atlantic	(26.5,26.75]	-0.1422294	-0.2616409	0.0408773
nitrate	Atlantic	(26.75,27]	-0.1891228	-0.3348364	-0.0049806
nitrate	Atlantic	(27,27.25]	-0.6860356	-0.7494099	-0.6052799
nitrate	Atlantic	(27.25,27.5]	-0.8376924	-0.8606180	-0.8048879
nitrate	Atlantic	(27.5,27.75]	-0.9197959	-0.9228779	-0.9150053
nitrate	Atlantic	(27.75,27.85]	-0.9404344	-0.9462360	-0.9367776
nitrate	Atlantic	(27.85,27.95]	-0.9419976	-0.9496759	-0.9363448
nitrate	Atlantic	(27.95,28.05]	-0.8484039	-0.8617259	-0.8383248
nitrate	Atlantic	(28.05,28.1]	-0.9875261	-0.9915396	-0.9854249
nitrate	Atlantic	(28.1,28.15]	-0.9894441	-0.9906626	-0.9886871
nitrate	Atlantic	(28.15,28.2]	-0.9866129	-0.9908281	-0.9833470
nitrate	Atlantic	(28.2, Inf]	-0.9912029	-0.9939632	-0.9864753
nitrate	Indo-Pacific	(-Inf,26]	-0.0946739	-0.1866902	0.0310282
nitrate	Indo-Pacific	(26,26.5]	-0.4350649	-0.5425659	-0.2751921
nitrate	Indo-Pacific	(26.5,26.75]	-0.6006125	-0.6529241	-0.5152445
nitrate	Indo-Pacific	(26.75,27]	-0.6014939	-0.6372046	-0.5510487
nitrate	Indo-Pacific	(27,27.25]	-0.4279945	-0.5195407	-0.3224868
nitrate	Indo-Pacific	(27.25,27.5]	-0.2987801	-0.4430577	-0.1186377
nitrate	Indo-Pacific	(27.5,27.75]	0.1966249	0.0224774	0.4178877
nitrate	Indo-Pacific	(27.75,27.85]	0.8079156	0.7644433	0.8577464
nitrate	Indo-Pacific	(27.85,27.95]	0.8893593	0.8735295	0.9066207
nitrate	Indo-Pacific	(27.95,28.05]	0.9372570	0.9327583	0.9446351
nitrate	Indo-Pacific	(28.05,28.1]	0.9420817	0.9367809	0.9457641
nitrate	Indo-Pacific	(28.1,28.2]	0.8703608	0.8569938	0.8800478
nitrate	Indo-Pacific	(28.2,28.3]	0.7101149	0.7059252	0.7149112
nitrate	Indo-Pacific	(28.3, Inf]	0.1697779	0.1486120	0.2059474
nitrate	SO	(-Inf,26]	NA	NA	NA
nitrate	SO	(26,26.5]	-0.0152182	-0.2427731	0.1302027
nitrate	SO	(26.5,26.75]	-0.5304284	-0.6886492	-0.3642927
nitrate	SO	(26.75,27]	-0.8260851	-0.8594747	-0.7800726
nitrate	SO	(27,27.25]	-0.8841304	-0.9084589	-0.8515610
nitrate	SO	(27.25,27.5]	-0.8019779	-0.8952055	-0.6668591
nitrate	SO	(27.5,27.75]	-0.7610544	-0.9195996	-0.5052860
nitrate	SO	(27.75,27.85]	-0.5880877	-0.8562666	-0.1335834
nitrate	SO	(27.85,27.95]	-0.5465270	-0.7238786	-0.2859278
nitrate	SO	(27.95,28.05]	-0.7058753	-0.7788320	-0.5707304
nitrate	SO	(28.05,28.1]	-0.7556378	-0.8254524	-0.6204252
nitrate	SO	(28.1,28.15]	-0.8940340	-0.9141745	-0.8773355
nitrate	SO	(28.1,28.2]	-0.7511946	-0.8285949	-0.6041034
nitrate	SO	(28.15,28.2]	-0.9644005	-0.9715134	-0.9556309
nitrate	SO	(28.2, Inf]	-0.8707254	-0.8901616	-0.8458995
nitrate	SO	(28.2,28.3]	-0.5074549	-0.6145377	-0.3397145
nitrate	SO	(28.3, Inf]	-0.4533717	-0.4682011	-0.4330106
phosphate	Atlantic	(-Inf,26]	0.4164948	0.3119222	0.5192985
phosphate	Atlantic	(26,26.5]	0.0532023	0.0048197	0.1164324
phosphate	Atlantic	(26.5,26.75]	-0.1247853	-0.2245466	0.0400584
phosphate	Atlantic	(26.75,27]	-0.2129743	-0.3516867	-0.0398652
phosphate	Atlantic	(27,27.25]	-0.6980109	-0.7581048	-0.6238320
phosphate	Atlantic	(27.25,27.5]	-0.8418479	-0.8581479	-0.8155678
phosphate	Atlantic	(27.5,27.75]	-0.9158124	-0.9173458	-0.9127863
phosphate	Atlantic	(27.75,27.85]	-0.9470644	-0.9503203	-0.9442132
phosphate	Atlantic	(27.85,27.95]	-0.9414066	-0.9501858	-0.9354309
phosphate	Atlantic	(27.95,28.05]	-0.8575523	-0.8696680	-0.8485539
phosphate	Atlantic	(28.05,28.1]	-0.9858630	-0.9902952	-0.9834959
phosphate	Atlantic	(28.1,28.15]	-0.9877754	-0.9890247	-0.9870463
phosphate	Atlantic	(28.15,28.2]	-0.9779103	-0.9838466	-0.9747193
phosphate	Atlantic	(28.2, Inf]	-0.9872758	-0.9906404	-0.9817771
phosphate	Indo-Pacific	(-Inf,26]	-0.1242867	-0.2304040	0.0158777
phosphate	Indo-Pacific	(26,26.5]	-0.5643207	-0.6715054	-0.4162129
phosphate	Indo-Pacific	(26.5,26.75]	-0.8182376	-0.8734891	-0.7316649
phosphate	Indo-Pacific	(26.75,27]	-0.8310492	-0.8612653	-0.7879672
phosphate	Indo-Pacific	(27,27.25]	-0.6828590	-0.7589068	-0.5895554
phosphate	Indo-Pacific	(27.25,27.5]	-0.5024751	-0.6419629	-0.3187134
phosphate	Indo-Pacific	(27.5,27.75]	0.1170390	-0.0650592	0.3349872
phosphate	Indo-Pacific	(27.75,27.85]	0.7988870	0.7600091	0.8431909
phosphate	Indo-Pacific	(27.85,27.95]	0.8947548	0.8787808	0.9104805
phosphate	Indo-Pacific	(27.95,28.05]	0.9388251	0.9357225	0.9442443
phosphate	Indo-Pacific	(28.05,28.1]	0.9397052	0.9323296	0.9462670
phosphate	Indo-Pacific	(28.1,28.2]	0.8455181	0.8332673	0.8556302
phosphate	Indo-Pacific	(28.2,28.3]	0.6512372	0.6473150	0.6578214
phosphate	Indo-Pacific	(28.3, Inf]	0.2369161	0.2097927	0.2844781
phosphate	SO	(-Inf,26]	NA	NA	NA
phosphate	SO	(26,26.5]	-0.2141311	-0.3969542	-0.0769247
phosphate	SO	(26.5,26.75]	-0.6499306	-0.7769144	-0.5107229
phosphate	SO	(26.75,27]	-0.8440715	-0.8745201	-0.8012480
phosphate	SO	(27,27.25]	-0.8916032	-0.9147028	-0.8603167
phosphate	SO	(27.25,27.5]	-0.8140797	-0.9036432	-0.6840041
phosphate	SO	(27.5,27.75]	-0.7658370	-0.9224984	-0.5134495
phosphate	SO	(27.75,27.85]	-0.5977684	-0.8599897	-0.1498640
phosphate	SO	(27.85,27.95]	-0.5562390	-0.7264397	-0.3002862
phosphate	SO	(27.95,28.05]	-0.7051695	-0.7757237	-0.5704180
phosphate	SO	(28.05,28.1]	-0.7557427	-0.8295806	-0.6109304
phosphate	SO	(28.1,28.15]	-0.9076035	-0.9277089	-0.8833211
phosphate	SO	(28.1,28.2]	-0.7495085	-0.8321153	-0.5874993
phosphate	SO	(28.15,28.2]	-0.9676828	-0.9757620	-0.9525122
phosphate	SO	(28.2, Inf]	-0.9145148	-0.9225361	-0.9058361
phosphate	SO	(28.2,28.3]	-0.5277984	-0.6520182	-0.3338401
phosphate	SO	(28.3, Inf]	-0.6171028	-0.6581708	-0.5936171
phosphate_star	Atlantic	(-Inf,26]	0.0790665	0.0127458	0.1504162
phosphate_star	Atlantic	(26,26.5]	0.1302682	0.1056603	0.1498572
phosphate_star	Atlantic	(26.5,26.75]	-0.3169299	-0.3450489	-0.2713310
phosphate_star	Atlantic	(26.75,27]	-0.4765830	-0.4852628	-0.4702047
phosphate_star	Atlantic	(27,27.25]	-0.6545051	-0.6774217	-0.6324021
phosphate_star	Atlantic	(27.25,27.5]	-0.7199742	-0.7607994	-0.6714451
phosphate_star	Atlantic	(27.5,27.75]	-0.7273155	-0.7461093	-0.7110444
phosphate_star	Atlantic	(27.75,27.85]	-0.9036775	-0.9270853	-0.8915166
phosphate_star	Atlantic	(27.85,27.95]	-0.8870039	-0.9052938	-0.8716722
phosphate_star	Atlantic	(27.95,28.05]	-0.8328105	-0.8446870	-0.8212363
phosphate_star	Atlantic	(28.05,28.1]	-0.9820681	-0.9852451	-0.9790023
phosphate_star	Atlantic	(28.1,28.15]	-0.9886140	-0.9889695	-0.9884079
phosphate_star	Atlantic	(28.15,28.2]	-0.9784760	-0.9820991	-0.9763488
phosphate_star	Atlantic	(28.2, Inf]	-0.9872310	-0.9899050	-0.9829492
phosphate_star	Indo-Pacific	(-Inf,26]	0.0021874	-0.0899183	0.1199827
phosphate_star	Indo-Pacific	(26,26.5]	-0.5635973	-0.6107973	-0.4944149
phosphate_star	Indo-Pacific	(26.5,26.75]	-0.6236484	-0.6383086	-0.6070953
phosphate_star	Indo-Pacific	(26.75,27]	-0.4880311	-0.4975001	-0.4744991
phosphate_star	Indo-Pacific	(27,27.25]	-0.4548803	-0.5209198	-0.3922475
phosphate_star	Indo-Pacific	(27.25,27.5]	-0.5572988	-0.6241027	-0.4646597
phosphate_star	Indo-Pacific	(27.5,27.75]	-0.3089680	-0.3903047	-0.1911824
phosphate_star	Indo-Pacific	(27.75,27.85]	0.2379470	0.1917729	0.2666758
phosphate_star	Indo-Pacific	(27.85,27.95]	0.4274314	0.4033623	0.4440690
phosphate_star	Indo-Pacific	(27.95,28.05]	0.5720964	0.5506895	0.6144810
phosphate_star	Indo-Pacific	(28.05,28.1]	0.6809714	0.6729656	0.6866568
phosphate_star	Indo-Pacific	(28.1,28.2]	0.7137364	0.6941816	0.7304931
phosphate_star	Indo-Pacific	(28.2,28.3]	0.5946137	0.5646006	0.6171807
phosphate_star	Indo-Pacific	(28.3, Inf]	-0.6790444	-0.7252182	-0.6468963
phosphate_star	SO	(-Inf,26]	NA	NA	NA
phosphate_star	SO	(26,26.5]	-0.3051750	-0.3386116	-0.2475635
phosphate_star	SO	(26.5,26.75]	-0.5410369	-0.5760583	-0.5075404
phosphate_star	SO	(26.75,27]	-0.7636144	-0.7653258	-0.7611992
phosphate_star	SO	(27,27.25]	-0.8399136	-0.8862617	-0.8001840
phosphate_star	SO	(27.25,27.5]	-0.6878939	-0.8104449	-0.5871640
phosphate_star	SO	(27.5,27.75]	-0.4099205	-0.6784756	-0.2194227
phosphate_star	SO	(27.75,27.85]	0.3481137	-0.2267405	0.7024764
phosphate_star	SO	(27.85,27.95]	0.2845748	-0.1164634	0.5552720
phosphate_star	SO	(27.95,28.05]	0.2334011	-0.1202605	0.4987124
phosphate_star	SO	(28.05,28.1]	0.0530358	-0.3382617	0.3579919
phosphate_star	SO	(28.1,28.15]	-0.6951812	-0.8708929	-0.5057910
phosphate_star	SO	(28.1,28.2]	0.2893227	-0.2247295	0.6423877
phosphate_star	SO	(28.15,28.2]	-0.8414316	-0.9203422	-0.7313969
phosphate_star	SO	(28.2, Inf]	-0.9134744	-0.9643500	-0.8634576
phosphate_star	SO	(28.2,28.3]	-0.0829678	-0.5193763	0.2249046
phosphate_star	SO	(28.3, Inf]	-0.9609296	-0.9724763	-0.9493448
sal	Atlantic	(-Inf,26]	0.6294491	0.5223750	0.6886164
sal	Atlantic	(26,26.5]	-0.0996566	-0.1478983	-0.0710231
sal	Atlantic	(26.5,26.75]	-0.0392140	-0.1588153	0.0763868
sal	Atlantic	(26.75,27]	-0.0137555	-0.0509309	0.0481818
sal	Atlantic	(27,27.25]	0.0022494	-0.0397101	0.0709596
sal	Atlantic	(27.25,27.5]	0.0354379	-0.0970974	0.1658057
sal	Atlantic	(27.5,27.75]	-0.5223029	-0.5634108	-0.4568600
sal	Atlantic	(27.75,27.85]	-0.0056877	-0.1609418	0.2242069
sal	Atlantic	(27.85,27.95]	-0.0811074	-0.2317841	0.0223441
sal	Atlantic	(27.95,28.05]	-0.0527441	-0.1903406	0.0235910
sal	Atlantic	(28.05,28.1]	0.6235063	0.5628186	0.7147114
sal	Atlantic	(28.1,28.15]	0.8655173	0.8546692	0.8712345
sal	Atlantic	(28.15,28.2]	0.8194054	0.7885123	0.8479759
sal	Atlantic	(28.2, Inf]	0.9329168	0.9047428	0.9475896
sal	Indo-Pacific	(-Inf,26]	-0.0650811	-0.1425879	-0.0110988
sal	Indo-Pacific	(26,26.5]	0.3133537	0.2613243	0.3457776
sal	Indo-Pacific	(26.5,26.75]	0.3545112	0.3459935	0.3661834
sal	Indo-Pacific	(26.75,27]	0.2474816	0.2257151	0.2656857
sal	Indo-Pacific	(27,27.25]	0.1173704	0.0315890	0.2024339
sal	Indo-Pacific	(27.25,27.5]	0.1535806	0.0491563	0.2282908
sal	Indo-Pacific	(27.5,27.75]	-0.0218193	-0.0639485	0.0162809
sal	Indo-Pacific	(27.75,27.85]	-0.1871189	-0.2079536	-0.1705031
sal	Indo-Pacific	(27.85,27.95]	-0.1859981	-0.2065564	-0.1624584
sal	Indo-Pacific	(27.95,28.05]	-0.0060111	-0.0478853	0.0156882
sal	Indo-Pacific	(28.05,28.1]	-0.1309724	-0.1483510	-0.1100176
sal	Indo-Pacific	(28.1,28.2]	0.0412454	0.0019128	0.0797067
sal	Indo-Pacific	(28.2,28.3]	-0.2867505	-0.3375707	-0.2331760
sal	Indo-Pacific	(28.3, Inf]	0.5425354	0.4827364	0.6112944
sal	SO	(-Inf,26]	NA	NA	NA
sal	SO	(26,26.5]	0.1401359	0.0385340	0.2790320
sal	SO	(26.5,26.75]	0.4591472	0.4274088	0.4858364
sal	SO	(26.75,27]	0.6680687	0.6435677	0.6815358
sal	SO	(27,27.25]	0.8306375	0.7902468	0.8758325
sal	SO	(27.25,27.5]	0.5781214	0.4701383	0.7135706
sal	SO	(27.5,27.75]	0.1073155	-0.1077518	0.4164316
sal	SO	(27.75,27.85]	-0.5060624	-0.8537248	0.0662245
sal	SO	(27.85,27.95]	-0.4541368	-0.7474365	-0.0092359
sal	SO	(27.95,28.05]	-0.2676347	-0.5501051	0.0934159
sal	SO	(28.05,28.1]	-0.0657555	-0.3578041	0.2883272
sal	SO	(28.1,28.15]	0.7635984	0.5957820	0.9113931
sal	SO	(28.1,28.2]	-0.4126477	-0.7461044	0.0935114
sal	SO	(28.15,28.2]	0.8594606	0.7580189	0.9305883
sal	SO	(28.2, Inf]	-0.0724377	-0.2119262	0.0689729
sal	SO	(28.2,28.3]	-0.2718511	-0.5851062	0.1854537
sal	SO	(28.3, Inf]	0.1856351	-0.0637778	0.4492301
silicate	Atlantic	(-Inf,26]	-0.6069294	-0.6618626	-0.5240175
silicate	Atlantic	(26,26.5]	-0.4786958	-0.5152987	-0.4184487
silicate	Atlantic	(26.5,26.75]	-0.3856062	-0.4918069	-0.2431758
silicate	Atlantic	(26.75,27]	-0.5135062	-0.6413416	-0.3532190
silicate	Atlantic	(27,27.25]	-0.8506665	-0.8824587	-0.8137366
silicate	Atlantic	(27.25,27.5]	-0.9218818	-0.9261803	-0.9173582
silicate	Atlantic	(27.5,27.75]	-0.9150864	-0.9237834	-0.9065491
silicate	Atlantic	(27.75,27.85]	-0.8967636	-0.9155444	-0.8845286
silicate	Atlantic	(27.85,27.95]	-0.8235736	-0.8486925	-0.8082483
silicate	Atlantic	(27.95,28.05]	-0.7312433	-0.7479826	-0.7045901
silicate	Atlantic	(28.05,28.1]	-0.9198906	-0.9353499	-0.9114139
silicate	Atlantic	(28.1,28.15]	-0.9282394	-0.9327080	-0.9259794
silicate	Atlantic	(28.15,28.2]	-0.9082052	-0.9166174	-0.9039095
silicate	Atlantic	(28.2, Inf]	-0.9479981	-0.9552896	-0.9368917
silicate	Indo-Pacific	(-Inf,26]	-0.1121415	-0.2057908	0.0207127
silicate	Indo-Pacific	(26,26.5]	-0.6385259	-0.7229014	-0.5202480
silicate	Indo-Pacific	(26.5,26.75]	-0.7577095	-0.8009769	-0.6852421
silicate	Indo-Pacific	(26.75,27]	-0.6420083	-0.6769436	-0.5948819
silicate	Indo-Pacific	(27,27.25]	-0.4524027	-0.5452983	-0.3443630
silicate	Indo-Pacific	(27.25,27.5]	-0.2910478	-0.4394425	-0.0953129
silicate	Indo-Pacific	(27.5,27.75]	0.2516490	0.0864809	0.4531112
silicate	Indo-Pacific	(27.75,27.85]	0.8678244	0.8279641	0.9115268
silicate	Indo-Pacific	(27.85,27.95]	0.9279249	0.9117535	0.9450682
silicate	Indo-Pacific	(27.95,28.05]	0.9646394	0.9618925	0.9677329
silicate	Indo-Pacific	(28.05,28.1]	0.9614366	0.9563093	0.9673896
silicate	Indo-Pacific	(28.1,28.2]	0.9370639	0.9328625	0.9409089
silicate	Indo-Pacific	(28.2,28.3]	0.8479993	0.8449773	0.8500585
silicate	Indo-Pacific	(28.3, Inf]	0.3780255	0.3102696	0.4568624
silicate	SO	(-Inf,26]	NA	NA	NA
silicate	SO	(26,26.5]	-0.0551674	-0.2073856	0.1433292
silicate	SO	(26.5,26.75]	-0.2925145	-0.4494773	-0.1117030
silicate	SO	(26.75,27]	-0.5568745	-0.5903812	-0.4988373
silicate	SO	(27,27.25]	-0.7656916	-0.8042628	-0.7172718
silicate	SO	(27.25,27.5]	-0.7592982	-0.8605854	-0.6125446
silicate	SO	(27.5,27.75]	-0.7638550	-0.9195425	-0.5183984
silicate	SO	(27.75,27.85]	-0.6408839	-0.8913972	-0.2027920
silicate	SO	(27.85,27.95]	-0.6162211	-0.7932093	-0.3312454
silicate	SO	(27.95,28.05]	-0.6859201	-0.8013429	-0.4898352
silicate	SO	(28.05,28.1]	-0.6730412	-0.8365300	-0.4183111
silicate	SO	(28.1,28.15]	-0.6472479	-0.7896998	-0.4990381
silicate	SO	(28.1,28.2]	-0.6755301	-0.8373459	-0.3960501
silicate	SO	(28.15,28.2]	-0.5928864	-0.6700686	-0.4912925
silicate	SO	(28.2, Inf]	-0.7942652	-0.8438632	-0.7307377
silicate	SO	(28.2,28.3]	-0.4738831	-0.6784068	-0.1638595
silicate	SO	(28.3, Inf]	-0.8281576	-0.8597062	-0.8019290
temp	Atlantic	(-Inf,26]	-0.0381206	-0.2476843	0.0885402
temp	Atlantic	(26,26.5]	-0.2491849	-0.2895227	-0.2156216
temp	Atlantic	(26.5,26.75]	-0.0565996	-0.1614715	0.0400380
temp	Atlantic	(26.75,27]	0.0596158	0.0446740	0.0773838
temp	Atlantic	(27,27.25]	0.0195603	-0.0147715	0.0663873
temp	Atlantic	(27.25,27.5]	-0.0288093	-0.1474820	0.0894322
temp	Atlantic	(27.5,27.75]	-0.5050582	-0.5324639	-0.4529436
temp	Atlantic	(27.75,27.85]	-0.0036449	-0.1532459	0.2203284
temp	Atlantic	(27.85,27.95]	-0.0151133	-0.1586365	0.0803438
temp	Atlantic	(27.95,28.05]	-0.0664980	-0.1585668	-0.0000019
temp	Atlantic	(28.05,28.1]	0.4724096	0.3846154	0.5706911
temp	Atlantic	(28.1,28.15]	0.6868220	0.6769167	0.6932172
temp	Atlantic	(28.15,28.2]	0.8366357	0.8033129	0.8863751
temp	Atlantic	(28.2, Inf]	0.8303205	0.7182729	0.9072459
temp	Indo-Pacific	(-Inf,26]	-0.3856135	-0.4778285	-0.3185861
temp	Indo-Pacific	(26,26.5]	0.2695541	0.2058110	0.3136660
temp	Indo-Pacific	(26.5,26.75]	0.3312557	0.3167091	0.3449899
temp	Indo-Pacific	(26.75,27]	0.1938772	0.1683635	0.2132405
temp	Indo-Pacific	(27,27.25]	0.1184188	0.0386953	0.2003352
temp	Indo-Pacific	(27.25,27.5]	0.2456899	0.1418980	0.3213954
temp	Indo-Pacific	(27.5,27.75]	0.1197317	0.0377294	0.1667004
temp	Indo-Pacific	(27.75,27.85]	-0.1785637	-0.2116274	-0.1349535
temp	Indo-Pacific	(27.85,27.95]	-0.2043963	-0.2182746	-0.1906328
temp	Indo-Pacific	(27.95,28.05]	-0.0657919	-0.1234469	-0.0310084
temp	Indo-Pacific	(28.05,28.1]	-0.0510480	-0.0779810	-0.0298025
temp	Indo-Pacific	(28.1,28.2]	-0.2513445	-0.2600567	-0.2410925
temp	Indo-Pacific	(28.2,28.3]	-0.1472649	-0.1627425	-0.1378546
temp	Indo-Pacific	(28.3, Inf]	0.6526801	0.5988780	0.7155873
temp	SO	(-Inf,26]	NA	NA	NA
temp	SO	(26,26.5]	0.0970414	-0.0043205	0.1908818
temp	SO	(26.5,26.75]	0.4085010	0.3593859	0.4564678
temp	SO	(26.75,27]	0.6307289	0.6204147	0.6394887
temp	SO	(27,27.25]	0.7863325	0.7453316	0.8332396
temp	SO	(27.25,27.5]	0.7083483	0.6212446	0.8136246
temp	SO	(27.5,27.75]	0.4590861	0.2979157	0.6787892
temp	SO	(27.75,27.85]	-0.4726047	-0.7745658	0.0347302
temp	SO	(27.85,27.95]	-0.5160078	-0.7482154	-0.1482827
temp	SO	(27.95,28.05]	-0.4008844	-0.6544925	-0.0631397
temp	SO	(28.05,28.1]	-0.2016234	-0.4881355	0.1521167
temp	SO	(28.1,28.15]	0.6662014	0.4980659	0.8206674
temp	SO	(28.1,28.2]	-0.5284543	-0.8070931	-0.0967858
temp	SO	(28.15,28.2]	0.7976196	0.7020218	0.8553643
temp	SO	(28.2, Inf]	0.5340160	0.4184056	0.6461713
temp	SO	(28.2,28.3]	-0.3085911	-0.6127613	0.1341180
temp	SO	(28.3, Inf]	0.6904416	0.6094966	0.7728300

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_1.0.5      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_1.0.0          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

27 May, 2021