Last updated: 2021-03-05

Checks: 7 0

Knit directory: emlr_mod_v_XXX/

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File	Version	Author	Date	Message
html	ee69bc1	Donghe-Zhu	2021-03-05	Build site.
html	a79291f	Donghe-Zhu	2021-03-05	Build site.
html	e8c6f30	Donghe-Zhu	2021-03-04	Build site.
html	59288fe	Donghe-Zhu	2021-03-04	Build site.
html	731abc8	Donghe-Zhu	2021-03-04	Build site.
html	e2a5a33	Donghe-Zhu	2021-03-04	Build site.
html	c7892c1	Donghe-Zhu	2021-03-04	Build site.
html	924430b	Donghe-Zhu	2021-03-03	Build site.
html	0d0bca1	Donghe-Zhu	2021-03-03	Build site.
html	cb63c16	Donghe-Zhu	2021-03-03	Build site.
html	ffda45a	Donghe-Zhu	2021-03-03	Build site.
html	691ba81	Donghe-Zhu	2021-03-03	Build site.
html	c5e45a2	Donghe-Zhu	2021-03-03	Build site.
html	89c3e58	Donghe-Zhu	2021-03-03	Build site.
html	c407a50	Donghe-Zhu	2021-03-03	Build site.
html	c911669	Donghe-Zhu	2021-03-03	Build site.
html	b71c719	Donghe-Zhu	2021-03-01	Build site.
html	13666ca	Donghe-Zhu	2021-03-01	Build site.
html	c6e60fe	Donghe-Zhu	2021-03-01	Build site.
html	7a388f7	Donghe-Zhu	2021-03-01	Build site.
html	799e913	Donghe-Zhu	2021-03-01	Build site.
html	66ff99f	Donghe-Zhu	2021-03-01	Build site.
html	ac9bb7a	Donghe-Zhu	2021-02-28	Build site.
html	efdc047	Donghe-Zhu	2021-02-28	Build site.
html	e9a7418	Donghe-Zhu	2021-02-28	Build site.
html	e152917	Donghe-Zhu	2021-02-28	Build site.
html	feb991c	Donghe-Zhu	2021-02-27	Build site.
html	287123c	Donghe-Zhu	2021-02-27	Build site.
html	54d5b5b	Donghe-Zhu	2021-02-27	Build site.
html	330f064	Donghe-Zhu	2021-02-27	Build site.
html	adbc9bc	Donghe-Zhu	2021-02-27	Build site.
html	5937141	Donghe-Zhu	2021-02-27	Build site.
html	4414bbf	Donghe-Zhu	2021-02-27	Build site.
html	a265efb	Donghe-Zhu	2021-02-27	Build site.
html	19edd1e	Donghe-Zhu	2021-02-27	Build site.
html	f20483f	Donghe-Zhu	2021-02-26	Build site.
html	6a2c7b3	Donghe-Zhu	2021-02-25	Build site.
html	02b976d	Donghe-Zhu	2021-02-24	Build site.
html	354c224	Donghe-Zhu	2021-02-24	Build site.
html	1a0a88a	Donghe-Zhu	2021-02-24	Build site.
html	57f701e	Donghe-Zhu	2021-02-24	Build site.
html	06f3149	Donghe-Zhu	2021-02-16	Build site.
html	401eab3	Donghe-Zhu	2021-02-15	Build site.
html	e3bba84	Donghe-Zhu	2021-02-15	Build site.
html	5dce4b1	Donghe-Zhu	2021-02-15	Build site.
html	4469a0c	Donghe-Zhu	2021-02-13	Build site.
html	5ae6a69	Donghe-Zhu	2021-02-10	Build site.
html	05385dc	Donghe-Zhu	2021-02-10	Build site.
html	f791ae4	Donghe-Zhu	2021-02-09	Build site.
html	f71ae34	Donghe-Zhu	2021-02-09	Build site.
html	c011832	Donghe-Zhu	2021-02-09	Build site.
html	a145fa7	Donghe-Zhu	2021-02-09	Build site.
html	c344e42	Donghe-Zhu	2021-02-08	Build site.
html	2f095d7	Donghe-Zhu	2021-02-07	Build site.
html	2305044	Donghe-Zhu	2021-02-07	Build site.
html	1fad5f1	Donghe-Zhu	2021-02-07	Build site.
html	ca03c39	Donghe-Zhu	2021-02-07	Build site.
html	e2ffc14	Donghe-Zhu	2021-02-05	Build site.
Rmd	55cdfe6	Donghe-Zhu	2021-02-05	local rebuild
html	cd7c52c	Donghe-Zhu	2021-02-04	Build site.
html	bcf84f4	Donghe-Zhu	2021-02-02	Build site.
html	a518739	Donghe-Zhu	2021-02-01	Build site.
html	61666de	Donghe-Zhu	2021-01-31	Build site.
html	865b582	Donghe-Zhu	2021-01-31	Build site.
html	3e68089	Donghe-Zhu	2021-01-31	Build site.
html	ecf335c	Donghe-Zhu	2021-01-31	Build site.
html	a618965	Donghe-Zhu	2021-01-31	Build site.
html	59e006e	Donghe-Zhu	2021-01-31	Build site.
html	a1c8f87	Donghe-Zhu	2021-01-31	Build site.
html	ae5c18f	Donghe-Zhu	2021-01-31	Build site.
html	b50fe52	Donghe-Zhu	2021-01-31	Build site.
html	ac99ae5	jens-daniel-mueller	2021-01-29	code review
html	b5bdcaf	Donghe-Zhu	2021-01-29	Build site.
html	442010d	Donghe-Zhu	2021-01-29	Build site.
html	372adf5	Donghe-Zhu	2021-01-29	Build site.
html	af8788e	Donghe-Zhu	2021-01-29	Build site.
html	21c91c9	Donghe-Zhu	2021-01-29	Build site.
html	eded038	Donghe-Zhu	2021-01-29	Build site.
html	541d4dd	Donghe-Zhu	2021-01-29	Build site.
html	6a75576	Donghe-Zhu	2021-01-28	Build site.
html	16fba40	Donghe-Zhu	2021-01-28	Build site.
html	12bc567	Donghe-Zhu	2021-01-27	Build site.
html	ceed31b	Donghe-Zhu	2021-01-27	Build site.
html	342402d	Donghe-Zhu	2021-01-27	Build site.
html	5bad5c2	Donghe-Zhu	2021-01-27	Build site.
html	61efb56	Donghe-Zhu	2021-01-25	Build site.
html	48f638e	Donghe-Zhu	2021-01-25	Build site.
html	c1cec47	Donghe-Zhu	2021-01-25	Build site.
html	05ffb0c	Donghe-Zhu	2021-01-25	Build site.
html	8b97165	Donghe-Zhu	2021-01-25	Build site.
html	c569946	Donghe-Zhu	2021-01-24	Build site.
html	a2f0d56	Donghe-Zhu	2021-01-23	Build site.
html	28509fc	Donghe-Zhu	2021-01-23	Build site.
html	4c28e4a	Donghe-Zhu	2021-01-22	Build site.
html	24cc264	jens-daniel-mueller	2021-01-22	cleaned /docs before creating copies
html	88eb28f	Donghe-Zhu	2021-01-21	Build site.
html	2679490	Donghe-Zhu	2021-01-21	Build site.
html	7891955	Donghe-Zhu	2021-01-21	Build site.
html	d4cf1cb	Donghe-Zhu	2021-01-21	Build site.
html	1f3e5b6	jens-daniel-mueller	2021-01-20	Build site.
html	0e7bdf1	jens-daniel-mueller	2021-01-15	cleaning template repository
html	73cbef3	jens-daniel-mueller	2021-01-15	Build site.
html	4571843	jens-daniel-mueller	2021-01-14	revision and html deleted for template copying
html	23151cd	jens-daniel-mueller	2021-01-14	Build site.
html	b3564aa	jens-daniel-mueller	2021-01-14	Build site.
html	8d032c3	jens-daniel-mueller	2021-01-14	Build site.
html	022871c	Donghe-Zhu	2021-01-13	Build site.
Rmd	d44f36f	Donghe-Zhu	2021-01-13	reorder analysis final
html	17dee1d	jens-daniel-mueller	2021-01-13	Build site.
html	a076226	Donghe-Zhu	2021-01-11	Build site.
Rmd	52eff18	Donghe-Zhu	2021-01-09	Implemet model_run and subsetting
html	7cdea0c	jens-daniel-mueller	2021-01-06	Build site.
html	fa85b93	jens-daniel-mueller	2021-01-06	Build site.
html	e5cb81a	Donghe-Zhu	2021-01-05	Build site.
html	a499f10	Donghe-Zhu	2021-01-05	Build site.
Rmd	715bdb4	Donghe-Zhu	2021-01-02	model modification
html	fb8a752	Donghe-Zhu	2020-12-23	Build site.
Rmd	82e3c9c	Donghe-Zhu	2020-12-23	first build after creating model template
html	8fae0b2	Donghe-Zhu	2020-12-21	Build site.
html	c8b76b3	jens-daniel-mueller	2020-12-19	Build site.
Rmd	b5fedce	jens-daniel-mueller	2020-12-19	first build after creating model template
Rmd	8e8abf5	Jens Müller	2020-12-18	Initial commit

1 Required data

Required are:

cleaned and prepared GLODAP-based synthetic cmorized model subsetting file

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

2 Predictor correlation

The correlation between:

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

were investigated based on:

property-property plots and
calculated correlation coefficients.

2.1 Correlation plots

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

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

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

Version	Author	Date
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
ffda45a	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
13666ca	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

Version	Author	Date
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

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
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]	0.8473177	0.8266115	0.8790946
aou + nitrate	Atlantic	(26,26.5]	0.9210423	0.9153348	0.9241625
aou + nitrate	Atlantic	(26.5,26.75]	0.9752365	0.9740163	0.9773553
aou + nitrate	Atlantic	(26.75,27]	0.9832778	0.9804264	0.9853460
aou + nitrate	Atlantic	(27,27.25]	0.9632726	0.9594586	0.9655219
aou + nitrate	Atlantic	(27.25,27.5]	0.8477266	0.8384751	0.8553777
aou + nitrate	Atlantic	(27.5,27.75]	0.6008561	0.5864528	0.6183807
aou + nitrate	Atlantic	(27.75,27.85]	0.4018166	0.3802730	0.4260195
aou + nitrate	Atlantic	(27.85,27.95]	0.5678891	0.4724808	0.6607277
aou + nitrate	Atlantic	(27.95,28.05]	0.3770206	0.3033628	0.4246840
aou + nitrate	Atlantic	(28.05,28.1]	0.6087740	0.5705959	0.6565085
aou + nitrate	Atlantic	(28.1,28.15]	0.8839427	0.8598995	0.9073600
aou + nitrate	Atlantic	(28.15,28.2]	0.9363609	0.9320917	0.9432955
aou + nitrate	Atlantic	(28.2, Inf]	0.9217549	0.9190820	0.9256573
aou + nitrate	Indo-Pacific	(-Inf,26]	0.9337076	0.9313919	0.9372301
aou + nitrate	Indo-Pacific	(26,26.5]	0.8507043	0.8479678	0.8543417
aou + nitrate	Indo-Pacific	(26.5,26.75]	0.7787731	0.7732904	0.7850696
aou + nitrate	Indo-Pacific	(26.75,27]	0.8404555	0.8377287	0.8438616
aou + nitrate	Indo-Pacific	(27,27.25]	0.9246996	0.9192289	0.9290681
aou + nitrate	Indo-Pacific	(27.25,27.5]	0.9494017	0.9478195	0.9506512
aou + nitrate	Indo-Pacific	(27.5,27.75]	0.9721259	0.9717913	0.9725534
aou + nitrate	Indo-Pacific	(27.75,27.85]	0.9911010	0.9907834	0.9916523
aou + nitrate	Indo-Pacific	(27.85,27.95]	0.9897827	0.9888119	0.9909282
aou + nitrate	Indo-Pacific	(27.95,28.05]	0.9892008	0.9889497	0.9893345
aou + nitrate	Indo-Pacific	(28.05,28.1]	0.9894404	0.9887788	0.9902603
aou + nitrate	Indo-Pacific	(28.1, Inf]	0.9908250	0.9903375	0.9910997
aou + phosphate	Atlantic	(-Inf,26]	0.9257544	0.9145388	0.9368362
aou + phosphate	Atlantic	(26,26.5]	0.8978877	0.8921435	0.9023092
aou + phosphate	Atlantic	(26.5,26.75]	0.9516499	0.9483806	0.9549034
aou + phosphate	Atlantic	(26.75,27]	0.9642884	0.9607179	0.9665338
aou + phosphate	Atlantic	(27,27.25]	0.9234648	0.9205602	0.9251502
aou + phosphate	Atlantic	(27.25,27.5]	0.7846810	0.7735986	0.7941271
aou + phosphate	Atlantic	(27.5,27.75]	0.5292439	0.5125694	0.5491708
aou + phosphate	Atlantic	(27.75,27.85]	0.3315535	0.3089028	0.3577263
aou + phosphate	Atlantic	(27.85,27.95]	0.5330721	0.4327796	0.6302739
aou + phosphate	Atlantic	(27.95,28.05]	0.3587342	0.2840288	0.4066050
aou + phosphate	Atlantic	(28.05,28.1]	0.6030839	0.5657198	0.6505569
aou + phosphate	Atlantic	(28.1,28.15]	0.8837450	0.8598042	0.9071343
aou + phosphate	Atlantic	(28.15,28.2]	0.9427659	0.9383324	0.9499548
aou + phosphate	Atlantic	(28.2, Inf]	0.9275917	0.9256687	0.9285853
aou + phosphate	Indo-Pacific	(-Inf,26]	0.9676894	0.9671854	0.9685302
aou + phosphate	Indo-Pacific	(26,26.5]	0.9602111	0.9593052	0.9612681
aou + phosphate	Indo-Pacific	(26.5,26.75]	0.9734434	0.9727976	0.9740883
aou + phosphate	Indo-Pacific	(26.75,27]	0.9752727	0.9744456	0.9759229
aou + phosphate	Indo-Pacific	(27,27.25]	0.9854211	0.9849541	0.9857241
aou + phosphate	Indo-Pacific	(27.25,27.5]	0.9862410	0.9856167	0.9866378
aou + phosphate	Indo-Pacific	(27.5,27.75]	0.9889394	0.9889029	0.9889685
aou + phosphate	Indo-Pacific	(27.75,27.85]	0.9945507	0.9943260	0.9946946
aou + phosphate	Indo-Pacific	(27.85,27.95]	0.9950459	0.9947906	0.9954603
aou + phosphate	Indo-Pacific	(27.95,28.05]	0.9909085	0.9907581	0.9911055
aou + phosphate	Indo-Pacific	(28.05,28.1]	0.9925703	0.9918445	0.9933437
aou + phosphate	Indo-Pacific	(28.1, Inf]	0.9916243	0.9907348	0.9923535
aou + phosphate_star	Atlantic	(-Inf,26]	0.2390005	0.1749855	0.2822293
aou + phosphate_star	Atlantic	(26,26.5]	0.4084367	0.3764449	0.4409341
aou + phosphate_star	Atlantic	(26.5,26.75]	0.1680294	0.1297563	0.2074462
aou + phosphate_star	Atlantic	(26.75,27]	-0.1189178	-0.1312238	-0.1023465
aou + phosphate_star	Atlantic	(27,27.25]	-0.0420185	-0.0696779	-0.0242992
aou + phosphate_star	Atlantic	(27.25,27.5]	-0.1431973	-0.1650210	-0.1246294
aou + phosphate_star	Atlantic	(27.5,27.75]	-0.3223452	-0.3447855	-0.2990317
aou + phosphate_star	Atlantic	(27.75,27.85]	-0.3408194	-0.3762285	-0.2866838
aou + phosphate_star	Atlantic	(27.85,27.95]	0.1678510	0.0246244	0.3096474
aou + phosphate_star	Atlantic	(27.95,28.05]	-0.0297879	-0.1132648	0.0222762
aou + phosphate_star	Atlantic	(28.05,28.1]	0.3146057	0.2539865	0.3831729
aou + phosphate_star	Atlantic	(28.1,28.15]	0.7472349	0.7025034	0.7895069
aou + phosphate_star	Atlantic	(28.15,28.2]	0.8490555	0.8402081	0.8623424
aou + phosphate_star	Atlantic	(28.2, Inf]	0.8203446	0.8142971	0.8271214
aou + phosphate_star	Indo-Pacific	(-Inf,26]	0.5954865	0.5912217	0.6035955
aou + phosphate_star	Indo-Pacific	(26,26.5]	0.4247928	0.4209592	0.4270077
aou + phosphate_star	Indo-Pacific	(26.5,26.75]	0.4834201	0.4643600	0.4978298
aou + phosphate_star	Indo-Pacific	(26.75,27]	0.6159710	0.6074215	0.6297779
aou + phosphate_star	Indo-Pacific	(27,27.25]	0.6955570	0.6806059	0.7120876
aou + phosphate_star	Indo-Pacific	(27.25,27.5]	0.3471660	0.2841985	0.3989142
aou + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.2909601	-0.3437587	-0.2434783
aou + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.5752003	-0.5894337	-0.5573694
aou + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.3725344	-0.3938370	-0.3553959
aou + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.3799904	-0.4090024	-0.3525001
aou + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.2706985	-0.3522246	-0.2176288
aou + phosphate_star	Indo-Pacific	(28.1, Inf]	0.1503901	0.1358150	0.1619759
aou + silicate	Atlantic	(-Inf,26]	0.1081213	0.0364329	0.1903757
aou + silicate	Atlantic	(26,26.5]	0.2761875	0.2402128	0.3028687
aou + silicate	Atlantic	(26.5,26.75]	0.6164126	0.5931660	0.6460828
aou + silicate	Atlantic	(26.75,27]	0.7999734	0.7939106	0.8113193
aou + silicate	Atlantic	(27,27.25]	0.7399062	0.7314706	0.7516773
aou + silicate	Atlantic	(27.25,27.5]	0.5321497	0.5229322	0.5460647
aou + silicate	Atlantic	(27.5,27.75]	0.2176216	0.2062112	0.2241522
aou + silicate	Atlantic	(27.75,27.85]	-0.0509980	-0.0768333	-0.0314627
aou + silicate	Atlantic	(27.85,27.95]	0.2755071	0.1549713	0.3890505
aou + silicate	Atlantic	(27.95,28.05]	0.3057499	0.2323714	0.3533043
aou + silicate	Atlantic	(28.05,28.1]	0.6318679	0.6057525	0.6686284
aou + silicate	Atlantic	(28.1,28.15]	0.9133631	0.8972208	0.9301976
aou + silicate	Atlantic	(28.15,28.2]	0.9446160	0.9411159	0.9474607
aou + silicate	Atlantic	(28.2, Inf]	0.7339113	0.7182154	0.7521245
aou + silicate	Indo-Pacific	(-Inf,26]	0.8374429	0.8346737	0.8400774
aou + silicate	Indo-Pacific	(26,26.5]	0.7716048	0.7707356	0.7731004
aou + silicate	Indo-Pacific	(26.5,26.75]	0.7842152	0.7805646	0.7884891
aou + silicate	Indo-Pacific	(26.75,27]	0.8744481	0.8709404	0.8773472
aou + silicate	Indo-Pacific	(27,27.25]	0.9402817	0.9392422	0.9412114
aou + silicate	Indo-Pacific	(27.25,27.5]	0.9545677	0.9541760	0.9552728
aou + silicate	Indo-Pacific	(27.5,27.75]	0.9651003	0.9643931	0.9655946
aou + silicate	Indo-Pacific	(27.75,27.85]	0.9829796	0.9825390	0.9832436
aou + silicate	Indo-Pacific	(27.85,27.95]	0.9821795	0.9816893	0.9825148
aou + silicate	Indo-Pacific	(27.95,28.05]	0.9875301	0.9870258	0.9878240
aou + silicate	Indo-Pacific	(28.05,28.1]	0.9907935	0.9899160	0.9916141
aou + silicate	Indo-Pacific	(28.1, Inf]	0.8243983	0.8232855	0.8256384
nitrate + phosphate	Atlantic	(-Inf,26]	0.6692473	0.6051445	0.7488566
nitrate + phosphate	Atlantic	(26,26.5]	0.8345436	0.8255172	0.8491050
nitrate + phosphate	Atlantic	(26.5,26.75]	0.9677978	0.9660826	0.9687178
nitrate + phosphate	Atlantic	(26.75,27]	0.9801455	0.9785269	0.9812576
nitrate + phosphate	Atlantic	(27,27.25]	0.9865802	0.9862957	0.9868974
nitrate + phosphate	Atlantic	(27.25,27.5]	0.9917591	0.9916036	0.9918495
nitrate + phosphate	Atlantic	(27.5,27.75]	0.9943974	0.9941421	0.9945675
nitrate + phosphate	Atlantic	(27.75,27.85]	0.9965324	0.9964607	0.9966151
nitrate + phosphate	Atlantic	(27.85,27.95]	0.9986573	0.9985214	0.9987696
nitrate + phosphate	Atlantic	(27.95,28.05]	0.9993819	0.9993140	0.9994364
nitrate + phosphate	Atlantic	(28.05,28.1]	0.9997913	0.9997734	0.9998055
nitrate + phosphate	Atlantic	(28.1,28.15]	0.9998179	0.9998085	0.9998271
nitrate + phosphate	Atlantic	(28.15,28.2]	0.9977138	0.9975685	0.9979143
nitrate + phosphate	Atlantic	(28.2, Inf]	0.9896214	0.9888768	0.9900980
nitrate + phosphate	Indo-Pacific	(-Inf,26]	0.9545102	0.9514363	0.9595108
nitrate + phosphate	Indo-Pacific	(26,26.5]	0.8648520	0.8625406	0.8688633
nitrate + phosphate	Indo-Pacific	(26.5,26.75]	0.7962020	0.7891466	0.8040735
nitrate + phosphate	Indo-Pacific	(26.75,27]	0.8616852	0.8569572	0.8656230
nitrate + phosphate	Indo-Pacific	(27,27.25]	0.9349788	0.9294970	0.9389290
nitrate + phosphate	Indo-Pacific	(27.25,27.5]	0.9542022	0.9529722	0.9553337
nitrate + phosphate	Indo-Pacific	(27.5,27.75]	0.9786583	0.9784349	0.9790047
nitrate + phosphate	Indo-Pacific	(27.75,27.85]	0.9946635	0.9945985	0.9947637
nitrate + phosphate	Indo-Pacific	(27.85,27.95]	0.9966161	0.9961889	0.9971000
nitrate + phosphate	Indo-Pacific	(27.95,28.05]	0.9987794	0.9986952	0.9988910
nitrate + phosphate	Indo-Pacific	(28.05,28.1]	0.9981196	0.9979838	0.9982250
nitrate + phosphate	Indo-Pacific	(28.1, Inf]	0.9951072	0.9949472	0.9952246
nitrate + phosphate_star	Atlantic	(-Inf,26]	0.1170406	0.0467010	0.2030556
nitrate + phosphate_star	Atlantic	(26,26.5]	0.4117310	0.3595525	0.4422451
nitrate + phosphate_star	Atlantic	(26.5,26.75]	0.2830526	0.2403186	0.3260971
nitrate + phosphate_star	Atlantic	(26.75,27]	-0.0021433	-0.0128397	0.0076041
nitrate + phosphate_star	Atlantic	(27,27.25]	0.2047820	0.1708927	0.2328913
nitrate + phosphate_star	Atlantic	(27.25,27.5]	0.3928777	0.3817052	0.4069658
nitrate + phosphate_star	Atlantic	(27.5,27.75]	0.5463437	0.5406656	0.5495082
nitrate + phosphate_star	Atlantic	(27.75,27.85]	0.7206410	0.6965657	0.7418597
nitrate + phosphate_star	Atlantic	(27.85,27.95]	0.9036046	0.8905678	0.9164189
nitrate + phosphate_star	Atlantic	(27.95,28.05]	0.9121202	0.9101446	0.9136215
nitrate + phosphate_star	Atlantic	(28.05,28.1]	0.9431538	0.9379931	0.9470064
nitrate + phosphate_star	Atlantic	(28.1,28.15]	0.9702263	0.9663964	0.9733639
nitrate + phosphate_star	Atlantic	(28.15,28.2]	0.9779050	0.9772792	0.9787493
nitrate + phosphate_star	Atlantic	(28.2, Inf]	0.9694387	0.9683343	0.9702461
nitrate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7322988	0.7272079	0.7350555
nitrate + phosphate_star	Indo-Pacific	(26,26.5]	0.5559658	0.5540218	0.5578563
nitrate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.5715175	0.5676668	0.5739019
nitrate + phosphate_star	Indo-Pacific	(26.75,27]	0.7015982	0.6902489	0.7122787
nitrate + phosphate_star	Indo-Pacific	(27,27.25]	0.7743896	0.7610313	0.7860120
nitrate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.4575083	0.4028374	0.5023851
nitrate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.1581721	-0.2148242	-0.1100190
nitrate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.5015644	-0.5175752	-0.4855874
nitrate + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.2643718	-0.2827162	-0.2510819
nitrate + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.2471024	-0.2779089	-0.2166399
nitrate + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.1366241	-0.2153183	-0.0812998
nitrate + phosphate_star	Indo-Pacific	(28.1, Inf]	0.2585947	0.2420091	0.2688091
nitrate + silicate	Atlantic	(-Inf,26]	0.5997446	0.5784461	0.6144848
nitrate + silicate	Atlantic	(26,26.5]	0.5622830	0.5450756	0.5721563
nitrate + silicate	Atlantic	(26.5,26.75]	0.6985526	0.6782830	0.7228492
nitrate + silicate	Atlantic	(26.75,27]	0.8557900	0.8481245	0.8634721
nitrate + silicate	Atlantic	(27,27.25]	0.8711002	0.8648363	0.8773977
nitrate + silicate	Atlantic	(27.25,27.5]	0.8564199	0.8502685	0.8599711
nitrate + silicate	Atlantic	(27.5,27.75]	0.8600673	0.8581248	0.8636118
nitrate + silicate	Atlantic	(27.75,27.85]	0.8379895	0.8363898	0.8396025
nitrate + silicate	Atlantic	(27.85,27.95]	0.9143073	0.9076897	0.9210207
nitrate + silicate	Atlantic	(27.95,28.05]	0.9676904	0.9657277	0.9690487
nitrate + silicate	Atlantic	(28.05,28.1]	0.9834456	0.9825431	0.9840998
nitrate + silicate	Atlantic	(28.1,28.15]	0.9859992	0.9856419	0.9864005
nitrate + silicate	Atlantic	(28.15,28.2]	0.9145307	0.9126378	0.9175069
nitrate + silicate	Atlantic	(28.2, Inf]	0.7043084	0.6978659	0.7080837
nitrate + silicate	Indo-Pacific	(-Inf,26]	0.8585261	0.8555436	0.8609596
nitrate + silicate	Indo-Pacific	(26,26.5]	0.7839036	0.7782267	0.7938831
nitrate + silicate	Indo-Pacific	(26.5,26.75]	0.8222528	0.8184417	0.8272667
nitrate + silicate	Indo-Pacific	(26.75,27]	0.8735513	0.8707550	0.8757166
nitrate + silicate	Indo-Pacific	(27,27.25]	0.9382256	0.9341991	0.9408551
nitrate + silicate	Indo-Pacific	(27.25,27.5]	0.9596370	0.9585155	0.9602706
nitrate + silicate	Indo-Pacific	(27.5,27.75]	0.9790640	0.9784824	0.9796184
nitrate + silicate	Indo-Pacific	(27.75,27.85]	0.9897311	0.9893708	0.9900311
nitrate + silicate	Indo-Pacific	(27.85,27.95]	0.9892607	0.9889780	0.9897925
nitrate + silicate	Indo-Pacific	(27.95,28.05]	0.9916264	0.9913745	0.9921187
nitrate + silicate	Indo-Pacific	(28.05,28.1]	0.9900663	0.9898677	0.9903729
nitrate + silicate	Indo-Pacific	(28.1, Inf]	0.8347409	0.8329393	0.8360992
phosphate + phosphate_star	Atlantic	(-Inf,26]	0.5320713	0.4773991	0.5860756
phosphate + phosphate_star	Atlantic	(26,26.5]	0.7565027	0.7264538	0.7774512
phosphate + phosphate_star	Atlantic	(26.5,26.75]	0.4578735	0.4323689	0.4932473
phosphate + phosphate_star	Atlantic	(26.75,27]	0.1430075	0.1338887	0.1501934
phosphate + phosphate_star	Atlantic	(27,27.25]	0.3396854	0.3105640	0.3630362
phosphate + phosphate_star	Atlantic	(27.25,27.5]	0.4962564	0.4851988	0.5102928
phosphate + phosphate_star	Atlantic	(27.5,27.75]	0.6233857	0.6197809	0.6259964
phosphate + phosphate_star	Atlantic	(27.75,27.85]	0.7717301	0.7501105	0.7904116
phosphate + phosphate_star	Atlantic	(27.85,27.95]	0.9213519	0.9105996	0.9322423
phosphate + phosphate_star	Atlantic	(27.95,28.05]	0.9207678	0.9192383	0.9218733
phosphate + phosphate_star	Atlantic	(28.05,28.1]	0.9459040	0.9403910	0.9499404
phosphate + phosphate_star	Atlantic	(28.1,28.15]	0.9706660	0.9667319	0.9738702
phosphate + phosphate_star	Atlantic	(28.15,28.2]	0.9758994	0.9753901	0.9767395
phosphate + phosphate_star	Atlantic	(28.2, Inf]	0.9717387	0.9708201	0.9733982
phosphate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7636814	0.7613188	0.7678483
phosphate + phosphate_star	Indo-Pacific	(26,26.5]	0.6554528	0.6530221	0.6593119
phosphate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.6641784	0.6505557	0.6748588
phosphate + phosphate_star	Indo-Pacific	(26.75,27]	0.7625215	0.7551499	0.7709017
phosphate + phosphate_star	Indo-Pacific	(27,27.25]	0.8026041	0.7921443	0.8149407
phosphate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.4940314	0.4381995	0.5411191
phosphate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.1485154	-0.2030394	-0.0999830
phosphate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.4894923	-0.5065079	-0.4707374
phosphate + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.2820604	-0.3015833	-0.2683078
phosphate + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.2555905	-0.2846537	-0.2266140
phosphate + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.1552036	-0.2333891	-0.1002789
phosphate + phosphate_star	Indo-Pacific	(28.1, Inf]	0.2718018	0.2518650	0.2820488
sal + aou	Atlantic	(-Inf,26]	-0.3976532	-0.4552266	-0.3653613
sal + aou	Atlantic	(26,26.5]	-0.3813256	-0.4301488	-0.3544051
sal + aou	Atlantic	(26.5,26.75]	0.2630737	0.2303559	0.2907258
sal + aou	Atlantic	(26.75,27]	0.4579178	0.4458039	0.4716967
sal + aou	Atlantic	(27,27.25]	0.3708323	0.3422294	0.4092778
sal + aou	Atlantic	(27.25,27.5]	0.3870287	0.3809803	0.3961306
sal + aou	Atlantic	(27.5,27.75]	0.6736599	0.6593634	0.6895658
sal + aou	Atlantic	(27.75,27.85]	0.6587847	0.6004241	0.6912220
sal + aou	Atlantic	(27.85,27.95]	0.2106577	0.0949320	0.3425664
sal + aou	Atlantic	(27.95,28.05]	0.0425506	-0.0159475	0.1124884
sal + aou	Atlantic	(28.05,28.1]	-0.3132608	-0.3755522	-0.2588251
sal + aou	Atlantic	(28.1,28.15]	-0.7385903	-0.7775268	-0.6949033
sal + aou	Atlantic	(28.15,28.2]	-0.8022698	-0.8069098	-0.7968380
sal + aou	Atlantic	(28.2, Inf]	-0.6720847	-0.6858017	-0.6591232
sal + aou	Indo-Pacific	(-Inf,26]	-0.2355183	-0.2433284	-0.2302178
sal + aou	Indo-Pacific	(26,26.5]	-0.1601548	-0.1643986	-0.1530773
sal + aou	Indo-Pacific	(26.5,26.75]	-0.1955264	-0.2071324	-0.1853888
sal + aou	Indo-Pacific	(26.75,27]	-0.4116560	-0.4196687	-0.4022867
sal + aou	Indo-Pacific	(27,27.25]	-0.5980801	-0.6145578	-0.5831039
sal + aou	Indo-Pacific	(27.25,27.5]	-0.2721667	-0.3254158	-0.2158933
sal + aou	Indo-Pacific	(27.5,27.75]	0.4917897	0.4514882	0.5409235
sal + aou	Indo-Pacific	(27.75,27.85]	0.7634475	0.7556889	0.7730501
sal + aou	Indo-Pacific	(27.85,27.95]	0.7604647	0.7549339	0.7639062
sal + aou	Indo-Pacific	(27.95,28.05]	0.8410625	0.8306981	0.8515109
sal + aou	Indo-Pacific	(28.05,28.1]	0.8467638	0.8336037	0.8552142
sal + aou	Indo-Pacific	(28.1, Inf]	0.3275074	0.3139860	0.3374250
sal + nitrate	Atlantic	(-Inf,26]	-0.6782230	-0.6890743	-0.6662692
sal + nitrate	Atlantic	(26,26.5]	-0.4218347	-0.4708345	-0.3831352
sal + nitrate	Atlantic	(26.5,26.75]	0.1926243	0.1548326	0.2299204
sal + nitrate	Atlantic	(26.75,27]	0.3976672	0.3938402	0.4039986
sal + nitrate	Atlantic	(27,27.25]	0.2064923	0.1663933	0.2558439
sal + nitrate	Atlantic	(27.25,27.5]	-0.0532355	-0.0882787	-0.0187138
sal + nitrate	Atlantic	(27.5,27.75]	0.1979588	0.1693207	0.2414270
sal + nitrate	Atlantic	(27.75,27.85]	-0.3427350	-0.3948428	-0.3026832
sal + nitrate	Atlantic	(27.85,27.95]	-0.6166657	-0.6364579	-0.5999409
sal + nitrate	Atlantic	(27.95,28.05]	-0.8372504	-0.8499258	-0.8200986
sal + nitrate	Atlantic	(28.05,28.1]	-0.9179249	-0.9230507	-0.9137695
sal + nitrate	Atlantic	(28.1,28.15]	-0.9557373	-0.9587874	-0.9502052
sal + nitrate	Atlantic	(28.15,28.2]	-0.9487826	-0.9567286	-0.9415349
sal + nitrate	Atlantic	(28.2, Inf]	-0.8489193	-0.8532438	-0.8454510
sal + nitrate	Indo-Pacific	(-Inf,26]	-0.3650167	-0.3706188	-0.3604077
sal + nitrate	Indo-Pacific	(26,26.5]	-0.3930270	-0.3944055	-0.3919694
sal + nitrate	Indo-Pacific	(26.5,26.75]	-0.4331068	-0.4386317	-0.4285280
sal + nitrate	Indo-Pacific	(26.75,27]	-0.5685940	-0.5835725	-0.5584964
sal + nitrate	Indo-Pacific	(27,27.25]	-0.7269625	-0.7306374	-0.7198975
sal + nitrate	Indo-Pacific	(27.25,27.5]	-0.4020782	-0.4504684	-0.3494002
sal + nitrate	Indo-Pacific	(27.5,27.75]	0.3908588	0.3553330	0.4399083
sal + nitrate	Indo-Pacific	(27.75,27.85]	0.7156031	0.6981656	0.7341199
sal + nitrate	Indo-Pacific	(27.85,27.95]	0.7079540	0.6999537	0.7120198
sal + nitrate	Indo-Pacific	(27.95,28.05]	0.7781959	0.7649845	0.7906724
sal + nitrate	Indo-Pacific	(28.05,28.1]	0.7777344	0.7610016	0.7873751
sal + nitrate	Indo-Pacific	(28.1, Inf]	0.2805274	0.2675550	0.2898595
sal + phosphate	Atlantic	(-Inf,26]	-0.2730316	-0.3740989	-0.2214405
sal + phosphate	Atlantic	(26,26.5]	-0.6327455	-0.6622759	-0.5985289
sal + phosphate	Atlantic	(26.5,26.75]	0.0169476	-0.0143287	0.0410819
sal + phosphate	Atlantic	(26.75,27]	0.2810119	0.2743790	0.2886877
sal + phosphate	Atlantic	(27,27.25]	0.0713830	0.0316121	0.1216067
sal + phosphate	Atlantic	(27.25,27.5]	-0.1665273	-0.2020216	-0.1296978
sal + phosphate	Atlantic	(27.5,27.75]	0.1012558	0.0737098	0.1431040
sal + phosphate	Atlantic	(27.75,27.85]	-0.4134931	-0.4628128	-0.3754110
sal + phosphate	Atlantic	(27.85,27.95]	-0.6487835	-0.6680677	-0.6288956
sal + phosphate	Atlantic	(27.95,28.05]	-0.8486039	-0.8603363	-0.8314941
sal + phosphate	Atlantic	(28.05,28.1]	-0.9223362	-0.9276394	-0.9178064
sal + phosphate	Atlantic	(28.1,28.15]	-0.9561238	-0.9590987	-0.9505062
sal + phosphate	Atlantic	(28.15,28.2]	-0.9323251	-0.9422989	-0.9236970
sal + phosphate	Atlantic	(28.2, Inf]	-0.7785256	-0.7838766	-0.7744749
sal + phosphate	Indo-Pacific	(-Inf,26]	-0.3515425	-0.3557979	-0.3453982
sal + phosphate	Indo-Pacific	(26,26.5]	-0.3742583	-0.3826067	-0.3637692
sal + phosphate	Indo-Pacific	(26.5,26.75]	-0.3662148	-0.3761054	-0.3591281
sal + phosphate	Indo-Pacific	(26.75,27]	-0.5166441	-0.5332657	-0.5074980
sal + phosphate	Indo-Pacific	(27,27.25]	-0.6803073	-0.6888600	-0.6697647
sal + phosphate	Indo-Pacific	(27.25,27.5]	-0.3758952	-0.4288745	-0.3185057
sal + phosphate	Indo-Pacific	(27.5,27.75]	0.3924086	0.3524997	0.4422374
sal + phosphate	Indo-Pacific	(27.75,27.85]	0.7090702	0.6967781	0.7241171
sal + phosphate	Indo-Pacific	(27.85,27.95]	0.7164340	0.7083756	0.7217186
sal + phosphate	Indo-Pacific	(27.95,28.05]	0.7947995	0.7833740	0.8055978
sal + phosphate	Indo-Pacific	(28.05,28.1]	0.8044781	0.7894283	0.8133386
sal + phosphate	Indo-Pacific	(28.1, Inf]	0.3460819	0.3335256	0.3554573
sal + phosphate_star	Atlantic	(-Inf,26]	-0.2251056	-0.3036426	-0.1204182
sal + phosphate_star	Atlantic	(26,26.5]	-0.8713238	-0.8883673	-0.8574253
sal + phosphate_star	Atlantic	(26.5,26.75]	-0.7907521	-0.8027440	-0.7830004
sal + phosphate_star	Atlantic	(26.75,27]	-0.7639636	-0.7876489	-0.7506594
sal + phosphate_star	Atlantic	(27,27.25]	-0.7992649	-0.8113728	-0.7826138
sal + phosphate_star	Atlantic	(27.25,27.5]	-0.8585528	-0.8836240	-0.8404105
sal + phosphate_star	Atlantic	(27.5,27.75]	-0.5886579	-0.6113807	-0.5565787
sal + phosphate_star	Atlantic	(27.75,27.85]	-0.8713987	-0.8830779	-0.8644845
sal + phosphate_star	Atlantic	(27.85,27.95]	-0.8693103	-0.8886215	-0.8439716
sal + phosphate_star	Atlantic	(27.95,28.05]	-0.9426506	-0.9495249	-0.9325850
sal + phosphate_star	Atlantic	(28.05,28.1]	-0.9796608	-0.9825233	-0.9777076
sal + phosphate_star	Atlantic	(28.1,28.15]	-0.9881546	-0.9895448	-0.9862187
sal + phosphate_star	Atlantic	(28.15,28.2]	-0.9694616	-0.9768972	-0.9609766
sal + phosphate_star	Atlantic	(28.2, Inf]	-0.8350318	-0.8391562	-0.8288571
sal + phosphate_star	Indo-Pacific	(-Inf,26]	-0.7052978	-0.7114652	-0.6984180
sal + phosphate_star	Indo-Pacific	(26,26.5]	-0.8631904	-0.8723219	-0.8576073
sal + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.8737717	-0.8842543	-0.8642416
sal + phosphate_star	Indo-Pacific	(26.75,27]	-0.8425868	-0.8579631	-0.8298264
sal + phosphate_star	Indo-Pacific	(27,27.25]	-0.8981593	-0.9065065	-0.8907745
sal + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.8084081	-0.8230334	-0.7842766
sal + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.8076266	-0.8193572	-0.7958373
sal + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.8932419	-0.9083573	-0.8827598
sal + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.7452090	-0.7663089	-0.7333285
sal + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.6556753	-0.6684480	-0.6432398
sal + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.5948267	-0.6362054	-0.5700248
sal + phosphate_star	Indo-Pacific	(28.1, Inf]	0.0762399	0.0684994	0.0814688
sal + silicate	Atlantic	(-Inf,26]	-0.7672884	-0.7797335	-0.7518981
sal + silicate	Atlantic	(26,26.5]	0.1484010	0.1190386	0.1686690
sal + silicate	Atlantic	(26.5,26.75]	0.3022749	0.2568925	0.3515178
sal + silicate	Atlantic	(26.75,27]	0.1829963	0.1673646	0.2110416
sal + silicate	Atlantic	(27,27.25]	-0.1036174	-0.1489635	-0.0575001
sal + silicate	Atlantic	(27.25,27.5]	-0.3452727	-0.3769978	-0.3055694
sal + silicate	Atlantic	(27.5,27.75]	-0.1377579	-0.1737435	-0.0952923
sal + silicate	Atlantic	(27.75,27.85]	-0.6919974	-0.7309158	-0.6576508
sal + silicate	Atlantic	(27.85,27.95]	-0.8080258	-0.8300341	-0.7687793
sal + silicate	Atlantic	(27.95,28.05]	-0.8964324	-0.9041820	-0.8839898
sal + silicate	Atlantic	(28.05,28.1]	-0.9157993	-0.9238759	-0.9068784
sal + silicate	Atlantic	(28.1,28.15]	-0.9257014	-0.9315310	-0.9169442
sal + silicate	Atlantic	(28.15,28.2]	-0.7597722	-0.7779205	-0.7467099
sal + silicate	Atlantic	(28.2, Inf]	-0.2742164	-0.2796097	-0.2646341
sal + silicate	Indo-Pacific	(-Inf,26]	-0.5425082	-0.5473789	-0.5335267
sal + silicate	Indo-Pacific	(26,26.5]	-0.5834447	-0.5920834	-0.5770079
sal + silicate	Indo-Pacific	(26.5,26.75]	-0.6120679	-0.6159919	-0.6051388
sal + silicate	Indo-Pacific	(26.75,27]	-0.6630710	-0.6753934	-0.6546493
sal + silicate	Indo-Pacific	(27,27.25]	-0.7565771	-0.7644430	-0.7452513
sal + silicate	Indo-Pacific	(27.25,27.5]	-0.4780736	-0.5254074	-0.4230206
sal + silicate	Indo-Pacific	(27.5,27.75]	0.3252684	0.2828669	0.3790351
sal + silicate	Indo-Pacific	(27.75,27.85]	0.6834158	0.6691906	0.7019716
sal + silicate	Indo-Pacific	(27.85,27.95]	0.7073708	0.6952297	0.7152603
sal + silicate	Indo-Pacific	(27.95,28.05]	0.8064130	0.7925143	0.8186569
sal + silicate	Indo-Pacific	(28.05,28.1]	0.8224418	0.8087901	0.8299900
sal + silicate	Indo-Pacific	(28.1, Inf]	0.6695977	0.6546694	0.6816427
sal + temp	Atlantic	(-Inf,26]	0.6613639	0.6102511	0.7174248
sal + temp	Atlantic	(26,26.5]	0.9576888	0.9535862	0.9606400
sal + temp	Atlantic	(26.5,26.75]	0.9678141	0.9655875	0.9712073
sal + temp	Atlantic	(26.75,27]	0.9705821	0.9689640	0.9716689
sal + temp	Atlantic	(27,27.25]	0.9634350	0.9631262	0.9636861
sal + temp	Atlantic	(27.25,27.5]	0.9718646	0.9707505	0.9740076
sal + temp	Atlantic	(27.5,27.75]	0.9676859	0.9668418	0.9690589
sal + temp	Atlantic	(27.75,27.85]	0.9867355	0.9864409	0.9870492
sal + temp	Atlantic	(27.85,27.95]	0.9795764	0.9735554	0.9828635
sal + temp	Atlantic	(27.95,28.05]	0.9757559	0.9752775	0.9760882
sal + temp	Atlantic	(28.05,28.1]	0.9863798	0.9851841	0.9870383
sal + temp	Atlantic	(28.1,28.15]	0.9833294	0.9828307	0.9838294
sal + temp	Atlantic	(28.15,28.2]	0.9788425	0.9778979	0.9800438
sal + temp	Atlantic	(28.2, Inf]	0.9372568	0.9334609	0.9420177
sal + temp	Indo-Pacific	(-Inf,26]	0.8199485	0.8165499	0.8250234
sal + temp	Indo-Pacific	(26,26.5]	0.9532301	0.9510025	0.9548845
sal + temp	Indo-Pacific	(26.5,26.75]	0.9802851	0.9797499	0.9807069
sal + temp	Indo-Pacific	(26.75,27]	0.9790474	0.9781915	0.9799011
sal + temp	Indo-Pacific	(27,27.25]	0.9747974	0.9739441	0.9758218
sal + temp	Indo-Pacific	(27.25,27.5]	0.9219042	0.9208443	0.9227021
sal + temp	Indo-Pacific	(27.5,27.75]	0.8732604	0.8714067	0.8764706
sal + temp	Indo-Pacific	(27.75,27.85]	0.9707512	0.9683933	0.9728076
sal + temp	Indo-Pacific	(27.85,27.95]	0.9400659	0.9380745	0.9438168
sal + temp	Indo-Pacific	(27.95,28.05]	0.9452724	0.9444019	0.9461336
sal + temp	Indo-Pacific	(28.05,28.1]	0.9753969	0.9742850	0.9771960
sal + temp	Indo-Pacific	(28.1, Inf]	0.4328619	0.4177747	0.4447132
silicate + phosphate	Atlantic	(-Inf,26]	-0.1326862	-0.2393000	0.0041355
silicate + phosphate	Atlantic	(26,26.5]	0.0400872	0.0025708	0.0768436
silicate + phosphate	Atlantic	(26.5,26.75]	0.5653872	0.5188630	0.6094678
silicate + phosphate	Atlantic	(26.75,27]	0.8450543	0.8401574	0.8487616
silicate + phosphate	Atlantic	(27,27.25]	0.9024941	0.8968750	0.9071499
silicate + phosphate	Atlantic	(27.25,27.5]	0.8974434	0.8923139	0.9000716
silicate + phosphate	Atlantic	(27.5,27.75]	0.8970278	0.8954957	0.8995915
silicate + phosphate	Atlantic	(27.75,27.85]	0.8777086	0.8761672	0.8791596
silicate + phosphate	Atlantic	(27.85,27.95]	0.9331268	0.9280969	0.9383636
silicate + phosphate	Atlantic	(27.95,28.05]	0.9740542	0.9727821	0.9750509
silicate + phosphate	Atlantic	(28.05,28.1]	0.9860858	0.9854699	0.9866008
silicate + phosphate	Atlantic	(28.1,28.15]	0.9882550	0.9879861	0.9886989
silicate + phosphate	Atlantic	(28.15,28.2]	0.9367900	0.9355696	0.9383732
silicate + phosphate	Atlantic	(28.2, Inf]	0.7960935	0.7886409	0.8023833
silicate + phosphate	Indo-Pacific	(-Inf,26]	0.8855312	0.8834710	0.8866711
silicate + phosphate	Indo-Pacific	(26,26.5]	0.8773360	0.8746092	0.8794332
silicate + phosphate	Indo-Pacific	(26.5,26.75]	0.8649852	0.8628250	0.8665845
silicate + phosphate	Indo-Pacific	(26.75,27]	0.9204998	0.9199847	0.9215272
silicate + phosphate	Indo-Pacific	(27,27.25]	0.9574947	0.9565947	0.9580287
silicate + phosphate	Indo-Pacific	(27.25,27.5]	0.9718716	0.9714520	0.9725200
silicate + phosphate	Indo-Pacific	(27.5,27.75]	0.9806504	0.9803271	0.9809517
silicate + phosphate	Indo-Pacific	(27.75,27.85]	0.9882170	0.9875041	0.9885745
silicate + phosphate	Indo-Pacific	(27.85,27.95]	0.9875328	0.9869697	0.9878588
silicate + phosphate	Indo-Pacific	(27.95,28.05]	0.9937196	0.9933716	0.9941821
silicate + phosphate	Indo-Pacific	(28.05,28.1]	0.9942784	0.9941258	0.9945007
silicate + phosphate	Indo-Pacific	(28.1, Inf]	0.8637556	0.8618486	0.8650030
silicate + phosphate_star	Atlantic	(-Inf,26]	-0.1909327	-0.2796191	-0.0658915
silicate + phosphate_star	Atlantic	(26,26.5]	-0.2841965	-0.3189767	-0.2433535
silicate + phosphate_star	Atlantic	(26.5,26.75]	0.0215821	-0.0711765	0.0727007
silicate + phosphate_star	Atlantic	(26.75,27]	0.1919858	0.1686542	0.2118242
silicate + phosphate_star	Atlantic	(27,27.25]	0.5342296	0.5097779	0.5640689
silicate + phosphate_star	Atlantic	(27.25,27.5]	0.6749519	0.6655986	0.6927519
silicate + phosphate_star	Atlantic	(27.5,27.75]	0.7960148	0.7874883	0.8087129
silicate + phosphate_star	Atlantic	(27.75,27.85]	0.9076986	0.8897729	0.9216170
silicate + phosphate_star	Atlantic	(27.85,27.95]	0.9640309	0.9607276	0.9703444
silicate + phosphate_star	Atlantic	(27.95,28.05]	0.9219406	0.9191313	0.9235924
silicate + phosphate_star	Atlantic	(28.05,28.1]	0.9206883	0.9104826	0.9281586
silicate + phosphate_star	Atlantic	(28.1,28.15]	0.9393237	0.9317428	0.9449413
silicate + phosphate_star	Atlantic	(28.15,28.2]	0.8663303	0.8655258	0.8673605
silicate + phosphate_star	Atlantic	(28.2, Inf]	0.7342551	0.7330459	0.7358772
silicate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7745569	0.7724351	0.7778084
silicate + phosphate_star	Indo-Pacific	(26,26.5]	0.7798887	0.7795903	0.7801150
silicate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.7996976	0.7954841	0.8026792
silicate + phosphate_star	Indo-Pacific	(26.75,27]	0.8214015	0.8150717	0.8270389
silicate + phosphate_star	Indo-Pacific	(27,27.25]	0.8172266	0.8005905	0.8329089
silicate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.5305765	0.4752020	0.5750061
silicate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.0982266	-0.1568491	-0.0455684
silicate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.4755758	-0.4919256	-0.4547556
silicate + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.2678671	-0.2825547	-0.2576822
silicate + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.2774836	-0.3063445	-0.2465911
silicate + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.1906173	-0.2639396	-0.1376983
silicate + phosphate_star	Indo-Pacific	(28.1, Inf]	0.4362918	0.4186530	0.4479556
temp + aou	Atlantic	(-Inf,26]	-0.6709997	-0.7022432	-0.6452403
temp + aou	Atlantic	(26,26.5]	-0.4289047	-0.4623101	-0.4105175
temp + aou	Atlantic	(26.5,26.75]	0.1463875	0.1102839	0.1732981
temp + aou	Atlantic	(26.75,27]	0.3928131	0.3770096	0.4119048
temp + aou	Atlantic	(27,27.25]	0.3425347	0.3181152	0.3813161
temp + aou	Atlantic	(27.25,27.5]	0.4166154	0.4059986	0.4281407
temp + aou	Atlantic	(27.5,27.75]	0.6671319	0.6602148	0.6798347
temp + aou	Atlantic	(27.75,27.85]	0.6724659	0.6190415	0.7039113
temp + aou	Atlantic	(27.85,27.95]	0.2207466	0.1018053	0.3425500
temp + aou	Atlantic	(27.95,28.05]	0.1636259	0.1087665	0.2405986
temp + aou	Atlantic	(28.05,28.1]	-0.2220042	-0.2876604	-0.1586470
temp + aou	Atlantic	(28.1,28.15]	-0.6556475	-0.7000376	-0.6079602
temp + aou	Atlantic	(28.15,28.2]	-0.7488715	-0.7581721	-0.7401476
temp + aou	Atlantic	(28.2, Inf]	-0.7381876	-0.7453979	-0.7305130
temp + aou	Indo-Pacific	(-Inf,26]	-0.3838166	-0.3866444	-0.3799623
temp + aou	Indo-Pacific	(26,26.5]	-0.2063540	-0.2092411	-0.2026547
temp + aou	Indo-Pacific	(26.5,26.75]	-0.1760175	-0.1891007	-0.1635772
temp + aou	Indo-Pacific	(26.75,27]	-0.3582808	-0.3623709	-0.3511584
temp + aou	Indo-Pacific	(27,27.25]	-0.5593130	-0.5735068	-0.5485797
temp + aou	Indo-Pacific	(27.25,27.5]	-0.2439136	-0.2890212	-0.1955830
temp + aou	Indo-Pacific	(27.5,27.75]	0.4103553	0.3757387	0.4535159
temp + aou	Indo-Pacific	(27.75,27.85]	0.7610515	0.7536426	0.7678212
temp + aou	Indo-Pacific	(27.85,27.95]	0.7382075	0.7353699	0.7398163
temp + aou	Indo-Pacific	(27.95,28.05]	0.7950067	0.7853924	0.8049619
temp + aou	Indo-Pacific	(28.05,28.1]	0.8306346	0.8162313	0.8440020
temp + aou	Indo-Pacific	(28.1, Inf]	0.7912570	0.7835319	0.7985856
temp + nitrate	Atlantic	(-Inf,26]	-0.7437934	-0.7632251	-0.7220306
temp + nitrate	Atlantic	(26,26.5]	-0.4670070	-0.4997600	-0.4356771
temp + nitrate	Atlantic	(26.5,26.75]	0.0695697	0.0289150	0.1054011
temp + nitrate	Atlantic	(26.75,27]	0.3150215	0.3084893	0.3194354
temp + nitrate	Atlantic	(27,27.25]	0.1704785	0.1341487	0.2206497
temp + nitrate	Atlantic	(27.25,27.5]	-0.0130167	-0.0471236	0.0266845
temp + nitrate	Atlantic	(27.5,27.75]	0.1778937	0.1604476	0.2098155
temp + nitrate	Atlantic	(27.75,27.85]	-0.3371046	-0.3817212	-0.3009172
temp + nitrate	Atlantic	(27.85,27.95]	-0.6287757	-0.6422685	-0.6212827
temp + nitrate	Atlantic	(27.95,28.05]	-0.8004278	-0.8066882	-0.7928224
temp + nitrate	Atlantic	(28.05,28.1]	-0.8777166	-0.8829364	-0.8694284
temp + nitrate	Atlantic	(28.1,28.15]	-0.9133408	-0.9169444	-0.9066298
temp + nitrate	Atlantic	(28.15,28.2]	-0.9203125	-0.9287900	-0.9118843
temp + nitrate	Atlantic	(28.2, Inf]	-0.9122789	-0.9201735	-0.9009858
temp + nitrate	Indo-Pacific	(-Inf,26]	-0.5305435	-0.5359249	-0.5276374
temp + nitrate	Indo-Pacific	(26,26.5]	-0.4434770	-0.4506796	-0.4370475
temp + nitrate	Indo-Pacific	(26.5,26.75]	-0.4199158	-0.4281766	-0.4144187
temp + nitrate	Indo-Pacific	(26.75,27]	-0.5299617	-0.5416395	-0.5222212
temp + nitrate	Indo-Pacific	(27,27.25]	-0.7051914	-0.7082117	-0.7018660
temp + nitrate	Indo-Pacific	(27.25,27.5]	-0.4061934	-0.4477202	-0.3603017
temp + nitrate	Indo-Pacific	(27.5,27.75]	0.2659064	0.2332427	0.3109504
temp + nitrate	Indo-Pacific	(27.75,27.85]	0.7089118	0.7006461	0.7225473
temp + nitrate	Indo-Pacific	(27.85,27.95]	0.6722602	0.6672327	0.6748456
temp + nitrate	Indo-Pacific	(27.95,28.05]	0.7185069	0.7059657	0.7303216
temp + nitrate	Indo-Pacific	(28.05,28.1]	0.7581444	0.7401510	0.7730656
temp + nitrate	Indo-Pacific	(28.1, Inf]	0.7229002	0.7115771	0.7331294
temp + phosphate	Atlantic	(-Inf,26]	-0.6837873	-0.7393461	-0.6550155
temp + phosphate	Atlantic	(26,26.5]	-0.6531595	-0.6718506	-0.6277872
temp + phosphate	Atlantic	(26.5,26.75]	-0.0898252	-0.1241184	-0.0651050
temp + phosphate	Atlantic	(26.75,27]	0.2073339	0.2048442	0.2111587
temp + phosphate	Atlantic	(27,27.25]	0.0505962	0.0145096	0.1018934
temp + phosphate	Atlantic	(27.25,27.5]	-0.1191312	-0.1541798	-0.0773303
temp + phosphate	Atlantic	(27.5,27.75]	0.0860208	0.0698860	0.1159319
temp + phosphate	Atlantic	(27.75,27.85]	-0.4067088	-0.4487169	-0.3724071
temp + phosphate	Atlantic	(27.85,27.95]	-0.6603446	-0.6723504	-0.6514280
temp + phosphate	Atlantic	(27.95,28.05]	-0.8132620	-0.8189065	-0.8052188
temp + phosphate	Atlantic	(28.05,28.1]	-0.8820910	-0.8876843	-0.8732245
temp + phosphate	Atlantic	(28.1,28.15]	-0.9143329	-0.9182209	-0.9073307
temp + phosphate	Atlantic	(28.15,28.2]	-0.9107967	-0.9206665	-0.9010349
temp + phosphate	Atlantic	(28.2, Inf]	-0.8776268	-0.8867463	-0.8685309
temp + phosphate	Indo-Pacific	(-Inf,26]	-0.5012611	-0.5066184	-0.4974591
temp + phosphate	Indo-Pacific	(26,26.5]	-0.4263264	-0.4267617	-0.4255255
temp + phosphate	Indo-Pacific	(26.5,26.75]	-0.3489328	-0.3613574	-0.3420504
temp + phosphate	Indo-Pacific	(26.75,27]	-0.4715109	-0.4850697	-0.4642070
temp + phosphate	Indo-Pacific	(27,27.25]	-0.6517816	-0.6574557	-0.6455743
temp + phosphate	Indo-Pacific	(27.25,27.5]	-0.3698219	-0.4153112	-0.3206705
temp + phosphate	Indo-Pacific	(27.5,27.75]	0.2901592	0.2564941	0.3339308
temp + phosphate	Indo-Pacific	(27.75,27.85]	0.7040593	0.6946205	0.7157843
temp + phosphate	Indo-Pacific	(27.85,27.95]	0.6849800	0.6797983	0.6883974
temp + phosphate	Indo-Pacific	(27.95,28.05]	0.7309780	0.7203265	0.7409553
temp + phosphate	Indo-Pacific	(28.05,28.1]	0.7799284	0.7633364	0.7942390
temp + phosphate	Indo-Pacific	(28.1, Inf]	0.7462823	0.7333663	0.7584974
temp + phosphate_star	Atlantic	(-Inf,26]	-0.6662908	-0.7082689	-0.6291922
temp + phosphate_star	Atlantic	(26,26.5]	-0.8605032	-0.8741373	-0.8490164
temp + phosphate_star	Atlantic	(26.5,26.75]	-0.8116133	-0.8247870	-0.8023554
temp + phosphate_star	Atlantic	(26.75,27]	-0.8035753	-0.8243821	-0.7895546
temp + phosphate_star	Atlantic	(27,27.25]	-0.7968961	-0.8106242	-0.7776704
temp + phosphate_star	Atlantic	(27.25,27.5]	-0.8338876	-0.8615981	-0.8113538
temp + phosphate_star	Atlantic	(27.5,27.75]	-0.6055177	-0.6219399	-0.5832081
temp + phosphate_star	Atlantic	(27.75,27.85]	-0.8749295	-0.8822781	-0.8690718
temp + phosphate_star	Atlantic	(27.85,27.95]	-0.8876228	-0.8989700	-0.8790336
temp + phosphate_star	Atlantic	(27.95,28.05]	-0.9543646	-0.9574378	-0.9487408
temp + phosphate_star	Atlantic	(28.05,28.1]	-0.9714241	-0.9727990	-0.9702767
temp + phosphate_star	Atlantic	(28.1,28.15]	-0.9748302	-0.9766526	-0.9730837
temp + phosphate_star	Atlantic	(28.15,28.2]	-0.9708212	-0.9784018	-0.9624463
temp + phosphate_star	Atlantic	(28.2, Inf]	-0.9372871	-0.9453004	-0.9257059
temp + phosphate_star	Indo-Pacific	(-Inf,26]	-0.8435897	-0.8486291	-0.8401306
temp + phosphate_star	Indo-Pacific	(26,26.5]	-0.9101893	-0.9153055	-0.9061625
temp + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.8775417	-0.8857089	-0.8671356
temp + phosphate_star	Indo-Pacific	(26.75,27]	-0.8430116	-0.8578982	-0.8295595
temp + phosphate_star	Indo-Pacific	(27,27.25]	-0.9146106	-0.9233942	-0.9034212
temp + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.9118340	-0.9232546	-0.8944563
temp + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.9373310	-0.9449259	-0.9271037
temp + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.9215440	-0.9286940	-0.9131603
temp + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.8357269	-0.8502734	-0.8278251
temp + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.7760269	-0.7870069	-0.7655203
temp + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.6629104	-0.6950008	-0.6413058
temp + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.3075872	-0.3189902	-0.2985896
temp + silicate	Atlantic	(-Inf,26]	-0.3572192	-0.3873259	-0.3133444
temp + silicate	Atlantic	(26,26.5]	0.1059460	0.0927225	0.1127902
temp + silicate	Atlantic	(26.5,26.75]	0.2009204	0.1539142	0.2540483
temp + silicate	Atlantic	(26.75,27]	0.0713569	0.0552884	0.0952897
temp + silicate	Atlantic	(27,27.25]	-0.1529744	-0.1929239	-0.1077317
temp + silicate	Atlantic	(27.25,27.5]	-0.2990878	-0.3315352	-0.2526349
temp + silicate	Atlantic	(27.5,27.75]	-0.1649192	-0.1890440	-0.1342996
temp + silicate	Atlantic	(27.75,27.85]	-0.6785264	-0.7132730	-0.6449163
temp + silicate	Atlantic	(27.85,27.95]	-0.8136750	-0.8229859	-0.7956691
temp + silicate	Atlantic	(27.95,28.05]	-0.8579867	-0.8623570	-0.8519493
temp + silicate	Atlantic	(28.05,28.1]	-0.8698614	-0.8804848	-0.8542733
temp + silicate	Atlantic	(28.1,28.15]	-0.8782097	-0.8869456	-0.8660760
temp + silicate	Atlantic	(28.15,28.2]	-0.7498090	-0.7657757	-0.7365649
temp + silicate	Atlantic	(28.2, Inf]	-0.5095152	-0.5198251	-0.4999153
temp + silicate	Indo-Pacific	(-Inf,26]	-0.6046624	-0.6122857	-0.5971257
temp + silicate	Indo-Pacific	(26,26.5]	-0.6097632	-0.6153551	-0.6037132
temp + silicate	Indo-Pacific	(26.5,26.75]	-0.6029128	-0.6091794	-0.5952455
temp + silicate	Indo-Pacific	(26.75,27]	-0.6352798	-0.6453981	-0.6281223
temp + silicate	Indo-Pacific	(27,27.25]	-0.7413305	-0.7469319	-0.7332264
temp + silicate	Indo-Pacific	(27.25,27.5]	-0.4683355	-0.5086695	-0.4206542
temp + silicate	Indo-Pacific	(27.5,27.75]	0.2122192	0.1753338	0.2590455
temp + silicate	Indo-Pacific	(27.75,27.85]	0.6764787	0.6647691	0.6897325
temp + silicate	Indo-Pacific	(27.85,27.95]	0.6600346	0.6523715	0.6645386
temp + silicate	Indo-Pacific	(27.95,28.05]	0.7442703	0.7304073	0.7558533
temp + silicate	Indo-Pacific	(28.05,28.1]	0.8002272	0.7854054	0.8126133
temp + silicate	Indo-Pacific	(28.1, Inf]	0.5857822	0.5660064	0.6016085

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
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]	0.3613264	0.2990041	0.4492013
aou	Atlantic	(26,26.5]	0.0024752	-0.1412442	0.1347188
aou	Atlantic	(26.5,26.75]	0.0182728	-0.1331670	0.2344568
aou	Atlantic	(26.75,27]	-0.0729886	-0.2754315	0.1949028
aou	Atlantic	(27,27.25]	-0.3853837	-0.5247852	-0.2052333
aou	Atlantic	(27.25,27.5]	-0.2930864	-0.4143189	-0.1365699
aou	Atlantic	(27.5,27.75]	-0.1508980	-0.2028965	-0.0961934
aou	Atlantic	(27.75,27.85]	-0.0536911	-0.1101520	-0.0080228
aou	Atlantic	(27.85,27.95]	-0.4867280	-0.5519332	-0.4229441
aou	Atlantic	(27.95,28.05]	-0.3256639	-0.4003382	-0.2651102
aou	Atlantic	(28.05,28.1]	-0.5839151	-0.5897163	-0.5735902
aou	Atlantic	(28.1,28.15]	-0.8730456	-0.8800007	-0.8635737
aou	Atlantic	(28.15,28.2]	-0.9230160	-0.9252025	-0.9205112
aou	Atlantic	(28.2, Inf]	-0.8684136	-0.8750164	-0.8602433
aou	Indo-Pacific	(-Inf,26]	-0.1015104	-0.2667576	0.0576267
aou	Indo-Pacific	(26,26.5]	-0.4694464	-0.6059392	-0.2865614
aou	Indo-Pacific	(26.5,26.75]	-0.7568193	-0.8170573	-0.6603446
aou	Indo-Pacific	(26.75,27]	-0.8262628	-0.8758096	-0.7584726
aou	Indo-Pacific	(27,27.25]	-0.8142092	-0.8765579	-0.7290948
aou	Indo-Pacific	(27.25,27.5]	-0.6946678	-0.8402427	-0.4682800
aou	Indo-Pacific	(27.5,27.75]	-0.3050433	-0.7523233	0.3709404
aou	Indo-Pacific	(27.75,27.85]	-0.0039759	-0.5312244	0.7242425
aou	Indo-Pacific	(27.85,27.95]	0.2031791	-0.2180154	0.6924105
aou	Indo-Pacific	(27.95,28.05]	0.0742097	-0.2820676	0.5197473
aou	Indo-Pacific	(28.05,28.1]	0.1883030	-0.1504809	0.5676404
aou	Indo-Pacific	(28.1, Inf]	0.5182460	0.4298098	0.6067729
nitrate	Atlantic	(-Inf,26]	0.0061896	-0.0826447	0.0991221
nitrate	Atlantic	(26,26.5]	-0.2155647	-0.3562006	-0.0847725
nitrate	Atlantic	(26.5,26.75]	-0.1341955	-0.2855598	0.0863533
nitrate	Atlantic	(26.75,27]	-0.1943265	-0.3880168	0.0613926
nitrate	Atlantic	(27,27.25]	-0.5851219	-0.6972178	-0.4392267
nitrate	Atlantic	(27.25,27.5]	-0.7151026	-0.7843091	-0.6211106
nitrate	Atlantic	(27.5,27.75]	-0.8508917	-0.8788993	-0.8187392
nitrate	Atlantic	(27.75,27.85]	-0.9112273	-0.9235630	-0.8931840
nitrate	Atlantic	(27.85,27.95]	-0.9644956	-0.9708562	-0.9547726
nitrate	Atlantic	(27.95,28.05]	-0.9445876	-0.9468197	-0.9433577
nitrate	Atlantic	(28.05,28.1]	-0.9903165	-0.9921179	-0.9882605
nitrate	Atlantic	(28.1,28.15]	-0.9934805	-0.9949274	-0.9906995
nitrate	Atlantic	(28.15,28.2]	-0.9938685	-0.9974467	-0.9882781
nitrate	Atlantic	(28.2, Inf]	-0.9767310	-0.9805722	-0.9717311
nitrate	Indo-Pacific	(-Inf,26]	-0.1191223	-0.2812147	0.0394573
nitrate	Indo-Pacific	(26,26.5]	-0.4522007	-0.5757885	-0.3012895
nitrate	Indo-Pacific	(26.5,26.75]	-0.6688256	-0.7240043	-0.5845684
nitrate	Indo-Pacific	(26.75,27]	-0.7137833	-0.7535185	-0.6496975
nitrate	Indo-Pacific	(27,27.25]	-0.7654066	-0.8242524	-0.6870082
nitrate	Indo-Pacific	(27.25,27.5]	-0.6904210	-0.8250349	-0.4809773
nitrate	Indo-Pacific	(27.5,27.75]	-0.3296505	-0.7575488	0.3220754
nitrate	Indo-Pacific	(27.75,27.85]	0.0262671	-0.4952384	0.7363666
nitrate	Indo-Pacific	(27.85,27.95]	0.2590413	-0.1466125	0.7227685
nitrate	Indo-Pacific	(27.95,28.05]	0.1510957	-0.1896698	0.5745997
nitrate	Indo-Pacific	(28.05,28.1]	0.2689543	-0.0454654	0.6221721
nitrate	Indo-Pacific	(28.1, Inf]	0.5461766	0.4743582	0.6176477
phosphate	Atlantic	(-Inf,26]	0.4429248	0.3497900	0.5469021
phosphate	Atlantic	(26,26.5]	0.0301617	-0.0752283	0.1100667
phosphate	Atlantic	(26.5,26.75]	-0.1231074	-0.2548414	0.0775180
phosphate	Atlantic	(26.75,27]	-0.2256450	-0.4052229	0.0038006
phosphate	Atlantic	(27,27.25]	-0.6293954	-0.7296479	-0.4973608
phosphate	Atlantic	(27.25,27.5]	-0.7611831	-0.8182240	-0.6831586
phosphate	Atlantic	(27.5,27.75]	-0.8750813	-0.8970446	-0.8493466
phosphate	Atlantic	(27.75,27.85]	-0.9339111	-0.9421696	-0.9207089
phosphate	Atlantic	(27.85,27.95]	-0.9662539	-0.9740780	-0.9547925
phosphate	Atlantic	(27.95,28.05]	-0.9469042	-0.9513211	-0.9445007
phosphate	Atlantic	(28.05,28.1]	-0.9902083	-0.9924141	-0.9878393
phosphate	Atlantic	(28.1,28.15]	-0.9934327	-0.9947658	-0.9907995
phosphate	Atlantic	(28.15,28.2]	-0.9926604	-0.9961417	-0.9890140
phosphate	Atlantic	(28.2, Inf]	-0.9834932	-0.9859086	-0.9821301
phosphate	Indo-Pacific	(-Inf,26]	-0.1487544	-0.3147629	0.0135193
phosphate	Indo-Pacific	(26,26.5]	-0.5970644	-0.7208681	-0.4297342
phosphate	Indo-Pacific	(26.5,26.75]	-0.8266320	-0.8763991	-0.7437270
phosphate	Indo-Pacific	(26.75,27]	-0.8605716	-0.8982052	-0.8064516
phosphate	Indo-Pacific	(27,27.25]	-0.8510445	-0.9005961	-0.7842802
phosphate	Indo-Pacific	(27.25,27.5]	-0.7474158	-0.8713186	-0.5532727
phosphate	Indo-Pacific	(27.5,27.75]	-0.3343475	-0.7573669	0.3088370
phosphate	Indo-Pacific	(27.75,27.85]	0.0355141	-0.4797758	0.7381416
phosphate	Indo-Pacific	(27.85,27.95]	0.2435767	-0.1632050	0.7114353
phosphate	Indo-Pacific	(27.95,28.05]	0.1406843	-0.1982314	0.5627551
phosphate	Indo-Pacific	(28.05,28.1]	0.2411859	-0.0741106	0.5954715
phosphate	Indo-Pacific	(28.1, Inf]	0.4998313	0.4214208	0.5775581
phosphate_star	Atlantic	(-Inf,26]	0.1062393	0.0472497	0.1978494
phosphate_star	Atlantic	(26,26.5]	0.1214865	0.0987828	0.1624365
phosphate_star	Atlantic	(26.5,26.75]	-0.3395503	-0.3706450	-0.3087793
phosphate_star	Atlantic	(26.75,27]	-0.4641179	-0.5832845	-0.4017052
phosphate_star	Atlantic	(27,27.25]	-0.6160906	-0.6961028	-0.5344917
phosphate_star	Atlantic	(27.25,27.5]	-0.7551967	-0.8308565	-0.6846816
phosphate_star	Atlantic	(27.5,27.75]	-0.7893353	-0.8324844	-0.7458745
phosphate_star	Atlantic	(27.75,27.85]	-0.8798004	-0.9280127	-0.8322532
phosphate_star	Atlantic	(27.85,27.95]	-0.8929518	-0.9277350	-0.8525161
phosphate_star	Atlantic	(27.95,28.05]	-0.8667667	-0.8987532	-0.8427043
phosphate_star	Atlantic	(28.05,28.1]	-0.9369724	-0.9617813	-0.9109491
phosphate_star	Atlantic	(28.1,28.15]	-0.9631437	-0.9774103	-0.9471000
phosphate_star	Atlantic	(28.15,28.2]	-0.9749557	-0.9843711	-0.9633625
phosphate_star	Atlantic	(28.2, Inf]	-0.9788462	-0.9854536	-0.9706085
phosphate_star	Indo-Pacific	(-Inf,26]	-0.0132563	-0.1379037	0.1106686
phosphate_star	Indo-Pacific	(26,26.5]	-0.5811992	-0.6251420	-0.5263776
phosphate_star	Indo-Pacific	(26.5,26.75]	-0.6313275	-0.6635642	-0.6045593
phosphate_star	Indo-Pacific	(26.75,27]	-0.5801553	-0.5964818	-0.5534412
phosphate_star	Indo-Pacific	(27,27.25]	-0.6910601	-0.7085100	-0.6775745
phosphate_star	Indo-Pacific	(27.25,27.5]	-0.5450046	-0.5752518	-0.5275675
phosphate_star	Indo-Pacific	(27.5,27.75]	-0.1295927	-0.4687541	0.0929067
phosphate_star	Indo-Pacific	(27.75,27.85]	0.3631303	-0.2180936	0.7289699
phosphate_star	Indo-Pacific	(27.85,27.95]	0.3731491	0.0433285	0.6208757
phosphate_star	Indo-Pacific	(27.95,28.05]	0.5375134	0.2459294	0.7497061
phosphate_star	Indo-Pacific	(28.05,28.1]	0.5010202	0.2407390	0.7104201
phosphate_star	Indo-Pacific	(28.1, Inf]	0.0977829	0.0223222	0.1645365
sal	Atlantic	(-Inf,26]	0.6410614	0.5858257	0.6910233
sal	Atlantic	(26,26.5]	-0.1059935	-0.1324522	-0.0607646
sal	Atlantic	(26.5,26.75]	-0.0180789	-0.1140026	0.0894847
sal	Atlantic	(26.75,27]	-0.0324547	-0.1469100	0.1854024
sal	Atlantic	(27,27.25]	0.0605000	-0.0662481	0.1864384
sal	Atlantic	(27.25,27.5]	0.3431064	0.2192492	0.4938596
sal	Atlantic	(27.5,27.75]	-0.0159191	-0.1223398	0.0819043
sal	Atlantic	(27.75,27.85]	0.5467602	0.4568336	0.6536028
sal	Atlantic	(27.85,27.95]	0.5853739	0.5383895	0.6485477
sal	Atlantic	(27.95,28.05]	0.7316356	0.6777015	0.7844732
sal	Atlantic	(28.05,28.1]	0.8926603	0.8645180	0.9247981
sal	Atlantic	(28.1,28.15]	0.9360864	0.9137569	0.9524605
sal	Atlantic	(28.15,28.2]	0.9337302	0.8989943	0.9511920
sal	Atlantic	(28.2, Inf]	0.7698711	0.7409207	0.7928630
sal	Indo-Pacific	(-Inf,26]	-0.0582063	-0.1206839	0.0026345
sal	Indo-Pacific	(26,26.5]	0.3184613	0.2963932	0.3515956
sal	Indo-Pacific	(26.5,26.75]	0.3037909	0.2686076	0.3368251
sal	Indo-Pacific	(26.75,27]	0.2227855	0.1755386	0.2726404
sal	Indo-Pacific	(27,27.25]	0.4551411	0.4117033	0.4935796
sal	Indo-Pacific	(27.25,27.5]	0.2226714	0.1670556	0.2742818
sal	Indo-Pacific	(27.5,27.75]	-0.1664898	-0.4145325	0.2443486
sal	Indo-Pacific	(27.75,27.85]	-0.3096567	-0.7598921	0.3316995
sal	Indo-Pacific	(27.85,27.95]	-0.1342755	-0.5096531	0.3175231
sal	Indo-Pacific	(27.95,28.05]	-0.2981653	-0.6105867	0.1195816
sal	Indo-Pacific	(28.05,28.1]	-0.2148899	-0.5323207	0.1515713
sal	Indo-Pacific	(28.1, Inf]	0.0100461	-0.1322080	0.1597554
silicate	Atlantic	(-Inf,26]	-0.6319460	-0.7160039	-0.5709633
silicate	Atlantic	(26,26.5]	-0.4978116	-0.5595418	-0.4269862
silicate	Atlantic	(26.5,26.75]	-0.3593123	-0.4745459	-0.1906177
silicate	Atlantic	(26.75,27]	-0.4570106	-0.6296497	-0.2442014
silicate	Atlantic	(27,27.25]	-0.7888418	-0.8583370	-0.6950395
silicate	Atlantic	(27.25,27.5]	-0.8719452	-0.9014685	-0.8256900
silicate	Atlantic	(27.5,27.75]	-0.9083243	-0.9102865	-0.9063229
silicate	Atlantic	(27.75,27.85]	-0.9242509	-0.9371630	-0.9105864
silicate	Atlantic	(27.85,27.95]	-0.8991924	-0.9233503	-0.8697389
silicate	Atlantic	(27.95,28.05]	-0.9003674	-0.9134035	-0.8928654
silicate	Atlantic	(28.05,28.1]	-0.9689550	-0.9695000	-0.9684667
silicate	Atlantic	(28.1,28.15]	-0.9793502	-0.9817805	-0.9754239
silicate	Atlantic	(28.15,28.2]	-0.9160796	-0.9242432	-0.9023356
silicate	Atlantic	(28.2, Inf]	-0.7775146	-0.7987651	-0.7449887
silicate	Indo-Pacific	(-Inf,26]	-0.1315015	-0.2842494	0.0089663
silicate	Indo-Pacific	(26,26.5]	-0.6710980	-0.7645086	-0.5462234
silicate	Indo-Pacific	(26.5,26.75]	-0.7640482	-0.8056145	-0.6887864
silicate	Indo-Pacific	(26.75,27]	-0.7133935	-0.7549181	-0.6531062
silicate	Indo-Pacific	(27,27.25]	-0.7193289	-0.7816079	-0.6363905
silicate	Indo-Pacific	(27.25,27.5]	-0.6458422	-0.7821522	-0.4379493
silicate	Indo-Pacific	(27.5,27.75]	-0.2788129	-0.7043539	0.3636061
silicate	Indo-Pacific	(27.75,27.85]	0.0612881	-0.4554289	0.7615487
silicate	Indo-Pacific	(27.85,27.95]	0.2533061	-0.1565505	0.7237738
silicate	Indo-Pacific	(27.95,28.05]	0.1329299	-0.2149704	0.5682245
silicate	Indo-Pacific	(28.05,28.1]	0.2346797	-0.0871070	0.5970504
silicate	Indo-Pacific	(28.1, Inf]	0.4789663	0.3746531	0.5862675
temp	Atlantic	(-Inf,26]	-0.0365537	-0.1493681	0.0914707
temp	Atlantic	(26,26.5]	-0.2463677	-0.2792435	-0.1952690
temp	Atlantic	(26.5,26.75]	-0.0358797	-0.1136069	0.0422880
temp	Atlantic	(26.75,27]	0.0421658	-0.0618047	0.2310527
temp	Atlantic	(27,27.25]	0.0907144	-0.0206454	0.1956624
temp	Atlantic	(27.25,27.5]	0.2990394	0.1705006	0.4475521
temp	Atlantic	(27.5,27.75]	0.0088171	-0.0806492	0.0919840
temp	Atlantic	(27.75,27.85]	0.5499249	0.4660372	0.6487365
temp	Atlantic	(27.85,27.95]	0.6035970	0.5530865	0.6584034
temp	Atlantic	(27.95,28.05]	0.7108784	0.6635956	0.7632349
temp	Atlantic	(28.05,28.1]	0.8506433	0.8127263	0.8878333
temp	Atlantic	(28.1,28.15]	0.8902854	0.8628774	0.9120794
temp	Atlantic	(28.15,28.2]	0.9056218	0.8676436	0.9255696
temp	Atlantic	(28.2, Inf]	0.8765611	0.8617846	0.8909077
temp	Indo-Pacific	(-Inf,26]	-0.3712445	-0.4640235	-0.2783963
temp	Indo-Pacific	(26,26.5]	0.2784950	0.2401591	0.3215519
temp	Indo-Pacific	(26.5,26.75]	0.2647542	0.2200938	0.3056055
temp	Indo-Pacific	(26.75,27]	0.1564972	0.1074251	0.2051075
temp	Indo-Pacific	(27,27.25]	0.4239041	0.3879825	0.4554289
temp	Indo-Pacific	(27.25,27.5]	0.3250777	0.3140319	0.3442270
temp	Indo-Pacific	(27.5,27.75]	0.0500255	-0.1957034	0.4220871
temp	Indo-Pacific	(27.75,27.85]	-0.3131261	-0.7538397	0.3314537
temp	Indo-Pacific	(27.85,27.95]	-0.1891340	-0.5484012	0.2556913
temp	Indo-Pacific	(27.95,28.05]	-0.3743948	-0.6835926	0.0405781
temp	Indo-Pacific	(28.05,28.1]	-0.2348695	-0.5548727	0.1488898
temp	Indo-Pacific	(28.1, Inf]	0.2008932	0.0828346	0.3231780

rm(cor_target_predictor, cor_target_predictor_stats)

sessionInfo()

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

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

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

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

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

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

eMLR - assumption testing

Jens Daniel Müller and Donghe Zhu

05 March, 2021