Last updated: 2021-03-03

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Knit directory: emlr_mod_v_XXX/

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html	0d0bca1	Donghe-Zhu	2021-03-03	Build site.
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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.
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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.
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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.
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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
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
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
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]	0.8516355	0.8271587	0.8638765
aou + nitrate	Atlantic	(26,26.5]	0.9218037	0.9180623	0.9259002
aou + nitrate	Atlantic	(26.5,26.75]	0.9748326	0.9735273	0.9767536
aou + nitrate	Atlantic	(26.75,27]	0.9827532	0.9802189	0.9850522
aou + nitrate	Atlantic	(27,27.25]	0.9625726	0.9593304	0.9652602
aou + nitrate	Atlantic	(27.25,27.5]	0.8459294	0.8362852	0.8542345
aou + nitrate	Atlantic	(27.5,27.75]	0.6047193	0.5916891	0.6156804
aou + nitrate	Atlantic	(27.75,27.85]	0.4038081	0.3758754	0.4382497
aou + nitrate	Atlantic	(27.85,27.95]	0.5902732	0.5236222	0.6738649
aou + nitrate	Atlantic	(27.95,28.05]	0.3798653	0.3561239	0.4168951
aou + nitrate	Atlantic	(28.05,28.1]	0.6179913	0.5839826	0.6610311
aou + nitrate	Atlantic	(28.1,28.15]	0.8886403	0.8621975	0.9100674
aou + nitrate	Atlantic	(28.15,28.2]	0.9371363	0.9294044	0.9444421
aou + nitrate	Atlantic	(28.2, Inf]	0.9225593	0.9163343	0.9295037
aou + nitrate	Indo-Pacific	(-Inf,26]	0.9335053	0.9325188	0.9341586
aou + nitrate	Indo-Pacific	(26,26.5]	0.8500078	0.8473258	0.8546915
aou + nitrate	Indo-Pacific	(26.5,26.75]	0.7775492	0.7727054	0.7809126
aou + nitrate	Indo-Pacific	(26.75,27]	0.8402966	0.8350199	0.8503785
aou + nitrate	Indo-Pacific	(27,27.25]	0.9236852	0.9187931	0.9295833
aou + nitrate	Indo-Pacific	(27.25,27.5]	0.9491978	0.9482103	0.9510045
aou + nitrate	Indo-Pacific	(27.5,27.75]	0.9722371	0.9710023	0.9730845
aou + nitrate	Indo-Pacific	(27.75,27.85]	0.9909876	0.9899510	0.9918034
aou + nitrate	Indo-Pacific	(27.85,27.95]	0.9900484	0.9895916	0.9909049
aou + nitrate	Indo-Pacific	(27.95,28.05]	0.9891868	0.9887748	0.9895265
aou + nitrate	Indo-Pacific	(28.05,28.1]	0.9894792	0.9893516	0.9895512
aou + nitrate	Indo-Pacific	(28.1, Inf]	0.9907398	0.9903347	0.9909847
aou + phosphate	Atlantic	(-Inf,26]	0.9267938	0.9233750	0.9335750
aou + phosphate	Atlantic	(26,26.5]	0.8964755	0.8913895	0.9035121
aou + phosphate	Atlantic	(26.5,26.75]	0.9523649	0.9486324	0.9547814
aou + phosphate	Atlantic	(26.75,27]	0.9638235	0.9602790	0.9657688
aou + phosphate	Atlantic	(27,27.25]	0.9230134	0.9199961	0.9246196
aou + phosphate	Atlantic	(27.25,27.5]	0.7824326	0.7718912	0.7924739
aou + phosphate	Atlantic	(27.5,27.75]	0.5336623	0.5189811	0.5464407
aou + phosphate	Atlantic	(27.75,27.85]	0.3337275	0.3025449	0.3708541
aou + phosphate	Atlantic	(27.85,27.95]	0.5564972	0.4856678	0.6442716
aou + phosphate	Atlantic	(27.95,28.05]	0.3615414	0.3372061	0.3985283
aou + phosphate	Atlantic	(28.05,28.1]	0.6121636	0.5788534	0.6555013
aou + phosphate	Atlantic	(28.1,28.15]	0.8884409	0.8620096	0.9096335
aou + phosphate	Atlantic	(28.15,28.2]	0.9436061	0.9359862	0.9509025
aou + phosphate	Atlantic	(28.2, Inf]	0.9276378	0.9242915	0.9338051
aou + phosphate	Indo-Pacific	(-Inf,26]	0.9674871	0.9665372	0.9682807
aou + phosphate	Indo-Pacific	(26,26.5]	0.9602469	0.9583734	0.9622191
aou + phosphate	Indo-Pacific	(26.5,26.75]	0.9734792	0.9729327	0.9741375
aou + phosphate	Indo-Pacific	(26.75,27]	0.9753865	0.9743493	0.9765224
aou + phosphate	Indo-Pacific	(27,27.25]	0.9853519	0.9848405	0.9857084
aou + phosphate	Indo-Pacific	(27.25,27.5]	0.9861606	0.9856887	0.9868493
aou + phosphate	Indo-Pacific	(27.5,27.75]	0.9889400	0.9887721	0.9891177
aou + phosphate	Indo-Pacific	(27.75,27.85]	0.9945112	0.9942979	0.9947689
aou + phosphate	Indo-Pacific	(27.85,27.95]	0.9951211	0.9948140	0.9955013
aou + phosphate	Indo-Pacific	(27.95,28.05]	0.9909450	0.9907227	0.9913297
aou + phosphate	Indo-Pacific	(28.05,28.1]	0.9926253	0.9925320	0.9927475
aou + phosphate	Indo-Pacific	(28.1, Inf]	0.9914407	0.9907002	0.9918889
aou + phosphate_star	Atlantic	(-Inf,26]	0.2277775	0.1190131	0.2941464
aou + phosphate_star	Atlantic	(26,26.5]	0.4033161	0.3802846	0.4179249
aou + phosphate_star	Atlantic	(26.5,26.75]	0.1736955	0.1711185	0.1770714
aou + phosphate_star	Atlantic	(26.75,27]	-0.1195078	-0.1381179	-0.0991368
aou + phosphate_star	Atlantic	(27,27.25]	-0.0370262	-0.0661768	-0.0161811
aou + phosphate_star	Atlantic	(27.25,27.5]	-0.1467232	-0.1613192	-0.1351335
aou + phosphate_star	Atlantic	(27.5,27.75]	-0.3172258	-0.3366357	-0.3004613
aou + phosphate_star	Atlantic	(27.75,27.85]	-0.3314126	-0.3930312	-0.2694258
aou + phosphate_star	Atlantic	(27.85,27.95]	0.2002111	0.0884842	0.3303447
aou + phosphate_star	Atlantic	(27.95,28.05]	-0.0277512	-0.0542423	0.0091469
aou + phosphate_star	Atlantic	(28.05,28.1]	0.3288967	0.2810570	0.3875290
aou + phosphate_star	Atlantic	(28.1,28.15]	0.7558666	0.7059049	0.7938033
aou + phosphate_star	Atlantic	(28.15,28.2]	0.8505032	0.8369573	0.8645423
aou + phosphate_star	Atlantic	(28.2, Inf]	0.8214767	0.8119503	0.8341902
aou + phosphate_star	Indo-Pacific	(-Inf,26]	0.5937396	0.5795551	0.6067289
aou + phosphate_star	Indo-Pacific	(26,26.5]	0.4246939	0.4108486	0.4379088
aou + phosphate_star	Indo-Pacific	(26.5,26.75]	0.4860765	0.4802153	0.4942867
aou + phosphate_star	Indo-Pacific	(26.75,27]	0.6154312	0.6040984	0.6362224
aou + phosphate_star	Indo-Pacific	(27,27.25]	0.6921384	0.6772057	0.7023819
aou + phosphate_star	Indo-Pacific	(27.25,27.5]	0.3345043	0.2708486	0.3933806
aou + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.3024295	-0.3496732	-0.2644720
aou + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.5779507	-0.5826753	-0.5690027
aou + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.3684041	-0.3875955	-0.3483351
aou + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.3746067	-0.4027212	-0.3399159
aou + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.2574464	-0.3088605	-0.2085475
aou + phosphate_star	Indo-Pacific	(28.1, Inf]	0.1522522	0.1347108	0.1667579
aou + silicate	Atlantic	(-Inf,26]	0.1102977	0.0644843	0.1562279
aou + silicate	Atlantic	(26,26.5]	0.2814330	0.2311855	0.3155448
aou + silicate	Atlantic	(26.5,26.75]	0.6225972	0.5902109	0.6450071
aou + silicate	Atlantic	(26.75,27]	0.8004226	0.7922088	0.8093324
aou + silicate	Atlantic	(27,27.25]	0.7398060	0.7285881	0.7487194
aou + silicate	Atlantic	(27.25,27.5]	0.5297823	0.5197822	0.5406343
aou + silicate	Atlantic	(27.5,27.75]	0.2197251	0.2151594	0.2237522
aou + silicate	Atlantic	(27.75,27.85]	-0.0515139	-0.0800155	-0.0131930
aou + silicate	Atlantic	(27.85,27.95]	0.3023487	0.2109065	0.4095152
aou + silicate	Atlantic	(27.95,28.05]	0.3091161	0.2864212	0.3433254
aou + silicate	Atlantic	(28.05,28.1]	0.6384536	0.6150164	0.6749134
aou + silicate	Atlantic	(28.1,28.15]	0.9167465	0.8974603	0.9305053
aou + silicate	Atlantic	(28.15,28.2]	0.9453088	0.9415894	0.9486462
aou + silicate	Atlantic	(28.2, Inf]	0.7305839	0.7106814	0.7438548
aou + silicate	Indo-Pacific	(-Inf,26]	0.8369453	0.8341677	0.8392118
aou + silicate	Indo-Pacific	(26,26.5]	0.7713083	0.7659189	0.7749986
aou + silicate	Indo-Pacific	(26.5,26.75]	0.7847610	0.7800539	0.7927322
aou + silicate	Indo-Pacific	(26.75,27]	0.8749126	0.8715598	0.8783337
aou + silicate	Indo-Pacific	(27,27.25]	0.9405215	0.9392295	0.9415749
aou + silicate	Indo-Pacific	(27.25,27.5]	0.9544841	0.9537077	0.9557236
aou + silicate	Indo-Pacific	(27.5,27.75]	0.9652621	0.9649400	0.9657116
aou + silicate	Indo-Pacific	(27.75,27.85]	0.9829037	0.9822187	0.9836601
aou + silicate	Indo-Pacific	(27.85,27.95]	0.9822983	0.9819403	0.9825120
aou + silicate	Indo-Pacific	(27.95,28.05]	0.9875026	0.9868413	0.9880058
aou + silicate	Indo-Pacific	(28.05,28.1]	0.9908753	0.9906436	0.9910568
aou + silicate	Indo-Pacific	(28.1, Inf]	0.8241688	0.8222967	0.8263694
nitrate + phosphate	Atlantic	(-Inf,26]	0.6808855	0.6396431	0.7024182
nitrate + phosphate	Atlantic	(26,26.5]	0.8366001	0.8253578	0.8536319
nitrate + phosphate	Atlantic	(26.5,26.75]	0.9681061	0.9665417	0.9691195
nitrate + phosphate	Atlantic	(26.75,27]	0.9798286	0.9786618	0.9811235
nitrate + phosphate	Atlantic	(27,27.25]	0.9866131	0.9863171	0.9871427
nitrate + phosphate	Atlantic	(27.25,27.5]	0.9917531	0.9916281	0.9919758
nitrate + phosphate	Atlantic	(27.5,27.75]	0.9944501	0.9942739	0.9945419
nitrate + phosphate	Atlantic	(27.75,27.85]	0.9965437	0.9963413	0.9966582
nitrate + phosphate	Atlantic	(27.85,27.95]	0.9986828	0.9985466	0.9987854
nitrate + phosphate	Atlantic	(27.95,28.05]	0.9993778	0.9993168	0.9994255
nitrate + phosphate	Atlantic	(28.05,28.1]	0.9997881	0.9997741	0.9998104
nitrate + phosphate	Atlantic	(28.1,28.15]	0.9998162	0.9998106	0.9998256
nitrate + phosphate	Atlantic	(28.15,28.2]	0.9977146	0.9975801	0.9977901
nitrate + phosphate	Atlantic	(28.2, Inf]	0.9897806	0.9891814	0.9904672
nitrate + phosphate	Indo-Pacific	(-Inf,26]	0.9543754	0.9520914	0.9556155
nitrate + phosphate	Indo-Pacific	(26,26.5]	0.8641689	0.8601651	0.8694746
nitrate + phosphate	Indo-Pacific	(26.5,26.75]	0.7948329	0.7925051	0.7966494
nitrate + phosphate	Indo-Pacific	(26.75,27]	0.8611154	0.8540336	0.8718565
nitrate + phosphate	Indo-Pacific	(27,27.25]	0.9340285	0.9294557	0.9403292
nitrate + phosphate	Indo-Pacific	(27.25,27.5]	0.9540195	0.9534389	0.9547724
nitrate + phosphate	Indo-Pacific	(27.5,27.75]	0.9786599	0.9770068	0.9801173
nitrate + phosphate	Indo-Pacific	(27.75,27.85]	0.9946462	0.9944704	0.9948695
nitrate + phosphate	Indo-Pacific	(27.85,27.95]	0.9967328	0.9965266	0.9970690
nitrate + phosphate	Indo-Pacific	(27.95,28.05]	0.9987595	0.9986687	0.9988690
nitrate + phosphate	Indo-Pacific	(28.05,28.1]	0.9980962	0.9979591	0.9982722
nitrate + phosphate	Indo-Pacific	(28.1, Inf]	0.9950833	0.9949745	0.9951622
nitrate + phosphate_star	Atlantic	(-Inf,26]	0.1231056	0.0070915	0.2050102
nitrate + phosphate_star	Atlantic	(26,26.5]	0.4118416	0.3762596	0.4489481
nitrate + phosphate_star	Atlantic	(26.5,26.75]	0.2896226	0.2849451	0.2982539
nitrate + phosphate_star	Atlantic	(26.75,27]	-0.0007972	-0.0101891	0.0139972
nitrate + phosphate_star	Atlantic	(27,27.25]	0.2117170	0.1754121	0.2405496
nitrate + phosphate_star	Atlantic	(27.25,27.5]	0.3929750	0.3880100	0.3973204
nitrate + phosphate_star	Atlantic	(27.5,27.75]	0.5470264	0.5427442	0.5502924
nitrate + phosphate_star	Atlantic	(27.75,27.85]	0.7258313	0.7016000	0.7448532
nitrate + phosphate_star	Atlantic	(27.85,27.95]	0.9062193	0.8928493	0.9180527
nitrate + phosphate_star	Atlantic	(27.95,28.05]	0.9119393	0.9107267	0.9135896
nitrate + phosphate_star	Atlantic	(28.05,28.1]	0.9443105	0.9420302	0.9465899
nitrate + phosphate_star	Atlantic	(28.1,28.15]	0.9709143	0.9664833	0.9734949
nitrate + phosphate_star	Atlantic	(28.15,28.2]	0.9780112	0.9774243	0.9788614
nitrate + phosphate_star	Atlantic	(28.2, Inf]	0.9694445	0.9684121	0.9709353
nitrate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7313211	0.7239605	0.7415302
nitrate + phosphate_star	Indo-Pacific	(26,26.5]	0.5559167	0.5422560	0.5671726
nitrate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.5722039	0.5681560	0.5743064
nitrate + phosphate_star	Indo-Pacific	(26.75,27]	0.7001701	0.6868516	0.7211636
nitrate + phosphate_star	Indo-Pacific	(27,27.25]	0.7717569	0.7599645	0.7825327
nitrate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.4462915	0.3912224	0.4937178
nitrate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.1701885	-0.2190410	-0.1296560
nitrate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.5036185	-0.5073146	-0.4987307
nitrate + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.2610614	-0.2779784	-0.2442750
nitrate + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.2414271	-0.2709645	-0.2024576
nitrate + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.1231711	-0.1755910	-0.0726146
nitrate + phosphate_star	Indo-Pacific	(28.1, Inf]	0.2610644	0.2426923	0.2735204
nitrate + silicate	Atlantic	(-Inf,26]	0.5935461	0.5384419	0.6291505
nitrate + silicate	Atlantic	(26,26.5]	0.5636667	0.5346109	0.5802192
nitrate + silicate	Atlantic	(26.5,26.75]	0.7038885	0.6766290	0.7209031
nitrate + silicate	Atlantic	(26.75,27]	0.8569766	0.8529797	0.8624423
nitrate + silicate	Atlantic	(27,27.25]	0.8721834	0.8689709	0.8782441
nitrate + silicate	Atlantic	(27.25,27.5]	0.8563198	0.8498253	0.8614803
nitrate + silicate	Atlantic	(27.5,27.75]	0.8600981	0.8584636	0.8620528
nitrate + silicate	Atlantic	(27.75,27.85]	0.8380318	0.8338974	0.8415540
nitrate + silicate	Atlantic	(27.85,27.95]	0.9154946	0.9076363	0.9222367
nitrate + silicate	Atlantic	(27.95,28.05]	0.9678850	0.9669912	0.9685417
nitrate + silicate	Atlantic	(28.05,28.1]	0.9833853	0.9820502	0.9848382
nitrate + silicate	Atlantic	(28.1,28.15]	0.9858958	0.9850693	0.9869876
nitrate + silicate	Atlantic	(28.15,28.2]	0.9144343	0.9136868	0.9156370
nitrate + silicate	Atlantic	(28.2, Inf]	0.7037290	0.6897618	0.7118789
nitrate + silicate	Indo-Pacific	(-Inf,26]	0.8579171	0.8558894	0.8591898
nitrate + silicate	Indo-Pacific	(26,26.5]	0.7853644	0.7732806	0.7963976
nitrate + silicate	Indo-Pacific	(26.5,26.75]	0.8212538	0.8201040	0.8228544
nitrate + silicate	Indo-Pacific	(26.75,27]	0.8731960	0.8693630	0.8790433
nitrate + silicate	Indo-Pacific	(27,27.25]	0.9375467	0.9340578	0.9417357
nitrate + silicate	Indo-Pacific	(27.25,27.5]	0.9598533	0.9590968	0.9604820
nitrate + silicate	Indo-Pacific	(27.5,27.75]	0.9791325	0.9786134	0.9794293
nitrate + silicate	Indo-Pacific	(27.75,27.85]	0.9896761	0.9892436	0.9899821
nitrate + silicate	Indo-Pacific	(27.85,27.95]	0.9892704	0.9889479	0.9897189
nitrate + silicate	Indo-Pacific	(27.95,28.05]	0.9915630	0.9913019	0.9919106
nitrate + silicate	Indo-Pacific	(28.05,28.1]	0.9900123	0.9898841	0.9901283
nitrate + silicate	Indo-Pacific	(28.1, Inf]	0.8349760	0.8321995	0.8369960
phosphate + phosphate_star	Atlantic	(-Inf,26]	0.5206458	0.4300821	0.5690650
phosphate + phosphate_star	Atlantic	(26,26.5]	0.7553796	0.7456721	0.7649260
phosphate + phosphate_star	Atlantic	(26.5,26.75]	0.4611340	0.4520660	0.4707091
phosphate + phosphate_star	Atlantic	(26.75,27]	0.1442659	0.1354166	0.1576323
phosphate + phosphate_star	Atlantic	(27,27.25]	0.3454312	0.3142316	0.3715842
phosphate + phosphate_star	Atlantic	(27.25,27.5]	0.4965009	0.4919714	0.4989735
phosphate + phosphate_star	Atlantic	(27.5,27.75]	0.6236622	0.6207895	0.6256746
phosphate + phosphate_star	Atlantic	(27.75,27.85]	0.7764359	0.7558017	0.7928182
phosphate + phosphate_star	Atlantic	(27.85,27.95]	0.9235202	0.9124636	0.9335856
phosphate + phosphate_star	Atlantic	(27.95,28.05]	0.9206095	0.9195381	0.9218280
phosphate + phosphate_star	Atlantic	(28.05,28.1]	0.9471234	0.9444543	0.9493767
phosphate + phosphate_star	Atlantic	(28.1,28.15]	0.9713670	0.9669145	0.9741467
phosphate + phosphate_star	Atlantic	(28.15,28.2]	0.9759961	0.9752201	0.9770132
phosphate + phosphate_star	Atlantic	(28.2, Inf]	0.9720757	0.9704599	0.9736571
phosphate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7628445	0.7538729	0.7715956
phosphate + phosphate_star	Indo-Pacific	(26,26.5]	0.6552158	0.6485240	0.6610276
phosphate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.6661639	0.6628744	0.6704001
phosphate + phosphate_star	Indo-Pacific	(26.75,27]	0.7616847	0.7538003	0.7756163
phosphate + phosphate_star	Indo-Pacific	(27,27.25]	0.8001272	0.7899486	0.8075948
phosphate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.4825845	0.4252447	0.5341515
phosphate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.1602836	-0.2082062	-0.1209954
phosphate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.4921281	-0.4962447	-0.4843616
phosphate + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.2785087	-0.2951535	-0.2615596
phosphate + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.2502770	-0.2782690	-0.2125338
phosphate + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.1418187	-0.1937386	-0.0916291
phosphate + phosphate_star	Indo-Pacific	(28.1, Inf]	0.2750705	0.2545071	0.2870508
sal + aou	Atlantic	(-Inf,26]	-0.3968955	-0.4458368	-0.3671048
sal + aou	Atlantic	(26,26.5]	-0.3712294	-0.4028281	-0.3409938
sal + aou	Atlantic	(26.5,26.75]	0.2597917	0.2510568	0.2674808
sal + aou	Atlantic	(26.75,27]	0.4596724	0.4521618	0.4730804
sal + aou	Atlantic	(27,27.25]	0.3637513	0.3271916	0.4011311
sal + aou	Atlantic	(27.25,27.5]	0.3869695	0.3758174	0.3985485
sal + aou	Atlantic	(27.5,27.75]	0.6704274	0.6586043	0.6844957
sal + aou	Atlantic	(27.75,27.85]	0.6499195	0.5823024	0.6960293
sal + aou	Atlantic	(27.85,27.95]	0.1840842	0.0747954	0.3005141
sal + aou	Atlantic	(27.95,28.05]	0.0356834	0.0039315	0.0525591
sal + aou	Atlantic	(28.05,28.1]	-0.3264910	-0.3808018	-0.2879449
sal + aou	Atlantic	(28.1,28.15]	-0.7467482	-0.7823221	-0.6998889
sal + aou	Atlantic	(28.15,28.2]	-0.8031674	-0.8090235	-0.7924816
sal + aou	Atlantic	(28.2, Inf]	-0.6755853	-0.6968374	-0.6576484
sal + aou	Indo-Pacific	(-Inf,26]	-0.2338905	-0.2500664	-0.2197321
sal + aou	Indo-Pacific	(26,26.5]	-0.1585018	-0.1637367	-0.1511947
sal + aou	Indo-Pacific	(26.5,26.75]	-0.1966413	-0.2032262	-0.1895322
sal + aou	Indo-Pacific	(26.75,27]	-0.4096716	-0.4290208	-0.3968658
sal + aou	Indo-Pacific	(27,27.25]	-0.5946837	-0.6028800	-0.5786883
sal + aou	Indo-Pacific	(27.25,27.5]	-0.2598807	-0.3224449	-0.2064992
sal + aou	Indo-Pacific	(27.5,27.75]	0.5016510	0.4643245	0.5467471
sal + aou	Indo-Pacific	(27.75,27.85]	0.7629706	0.7584631	0.7667137
sal + aou	Indo-Pacific	(27.85,27.95]	0.7614169	0.7548108	0.7661371
sal + aou	Indo-Pacific	(27.95,28.05]	0.8391644	0.8281396	0.8498260
sal + aou	Indo-Pacific	(28.05,28.1]	0.8443426	0.8340252	0.8556374
sal + aou	Indo-Pacific	(28.1, Inf]	0.3252287	0.3075736	0.3402405
sal + nitrate	Atlantic	(-Inf,26]	-0.6725679	-0.6980092	-0.6473064
sal + nitrate	Atlantic	(26,26.5]	-0.4131944	-0.4439129	-0.3704876
sal + nitrate	Atlantic	(26.5,26.75]	0.1870194	0.1832988	0.1894631
sal + nitrate	Atlantic	(26.75,27]	0.3969448	0.3948943	0.3992841
sal + nitrate	Atlantic	(27,27.25]	0.1967755	0.1508995	0.2432413
sal + nitrate	Atlantic	(27.25,27.5]	-0.0593076	-0.1025718	-0.0177489
sal + nitrate	Atlantic	(27.5,27.75]	0.1906002	0.1641018	0.2327931
sal + nitrate	Atlantic	(27.75,27.85]	-0.3521583	-0.4061665	-0.3236992
sal + nitrate	Atlantic	(27.85,27.95]	-0.6178384	-0.6387483	-0.6027517
sal + nitrate	Atlantic	(27.95,28.05]	-0.8414598	-0.8480497	-0.8325380
sal + nitrate	Atlantic	(28.05,28.1]	-0.9192696	-0.9237276	-0.9126456
sal + nitrate	Atlantic	(28.1,28.15]	-0.9565323	-0.9597686	-0.9530978
sal + nitrate	Atlantic	(28.15,28.2]	-0.9499168	-0.9545096	-0.9471558
sal + nitrate	Atlantic	(28.2, Inf]	-0.8486906	-0.8576804	-0.8409905
sal + nitrate	Indo-Pacific	(-Inf,26]	-0.3639833	-0.3791336	-0.3531994
sal + nitrate	Indo-Pacific	(26,26.5]	-0.3928010	-0.3990115	-0.3875900
sal + nitrate	Indo-Pacific	(26.5,26.75]	-0.4329658	-0.4462226	-0.4228586
sal + nitrate	Indo-Pacific	(26.75,27]	-0.5664448	-0.5813230	-0.5551581
sal + nitrate	Indo-Pacific	(27,27.25]	-0.7257739	-0.7322206	-0.7193391
sal + nitrate	Indo-Pacific	(27.25,27.5]	-0.3907129	-0.4478833	-0.3407307
sal + nitrate	Indo-Pacific	(27.5,27.75]	0.4000242	0.3647223	0.4453400
sal + nitrate	Indo-Pacific	(27.75,27.85]	0.7141713	0.7000242	0.7213549
sal + nitrate	Indo-Pacific	(27.85,27.95]	0.7091206	0.7032697	0.7163671
sal + nitrate	Indo-Pacific	(27.95,28.05]	0.7759213	0.7613466	0.7886107
sal + nitrate	Indo-Pacific	(28.05,28.1]	0.7747311	0.7615122	0.7894290
sal + nitrate	Indo-Pacific	(28.1, Inf]	0.2783908	0.2614101	0.2933411
sal + phosphate	Atlantic	(-Inf,26]	-0.2753259	-0.3183965	-0.2335761
sal + phosphate	Atlantic	(26,26.5]	-0.6292360	-0.6445505	-0.6038237
sal + phosphate	Atlantic	(26.5,26.75]	0.0137007	-0.0037269	0.0275828
sal + phosphate	Atlantic	(26.75,27]	0.2798417	0.2724091	0.2838635
sal + phosphate	Atlantic	(27,27.25]	0.0617574	0.0142395	0.1086552
sal + phosphate	Atlantic	(27.25,27.5]	-0.1731098	-0.2144490	-0.1312648
sal + phosphate	Atlantic	(27.5,27.75]	0.0942468	0.0681399	0.1354952
sal + phosphate	Atlantic	(27.75,27.85]	-0.4225081	-0.4732352	-0.3970800
sal + phosphate	Atlantic	(27.85,27.95]	-0.6495604	-0.6700693	-0.6385454
sal + phosphate	Atlantic	(27.95,28.05]	-0.8526577	-0.8597078	-0.8435632
sal + phosphate	Atlantic	(28.05,28.1]	-0.9237392	-0.9281161	-0.9178323
sal + phosphate	Atlantic	(28.1,28.15]	-0.9569277	-0.9604836	-0.9534543
sal + phosphate	Atlantic	(28.15,28.2]	-0.9336108	-0.9388657	-0.9306717
sal + phosphate	Atlantic	(28.2, Inf]	-0.7790156	-0.7919171	-0.7702919
sal + phosphate	Indo-Pacific	(-Inf,26]	-0.3503990	-0.3668423	-0.3387264
sal + phosphate	Indo-Pacific	(26,26.5]	-0.3719462	-0.3789046	-0.3681047
sal + phosphate	Indo-Pacific	(26.5,26.75]	-0.3659887	-0.3800703	-0.3573146
sal + phosphate	Indo-Pacific	(26.75,27]	-0.5138513	-0.5294538	-0.4987462
sal + phosphate	Indo-Pacific	(27,27.25]	-0.6781907	-0.6852705	-0.6678430
sal + phosphate	Indo-Pacific	(27.25,27.5]	-0.3635158	-0.4250144	-0.3086286
sal + phosphate	Indo-Pacific	(27.5,27.75]	0.4021436	0.3634934	0.4484957
sal + phosphate	Indo-Pacific	(27.75,27.85]	0.7083175	0.6988602	0.7133070
sal + phosphate	Indo-Pacific	(27.85,27.95]	0.7178456	0.7116825	0.7248252
sal + phosphate	Indo-Pacific	(27.95,28.05]	0.7928886	0.7800628	0.8040418
sal + phosphate	Indo-Pacific	(28.05,28.1]	0.8017136	0.7901580	0.8146781
sal + phosphate	Indo-Pacific	(28.1, Inf]	0.3440167	0.3270106	0.3590724
sal + phosphate_star	Atlantic	(-Inf,26]	-0.2196806	-0.3218454	-0.1424163
sal + phosphate_star	Atlantic	(26,26.5]	-0.8734100	-0.8922179	-0.8619716
sal + phosphate_star	Atlantic	(26.5,26.75]	-0.7930836	-0.8027089	-0.7805350
sal + phosphate_star	Atlantic	(26.75,27]	-0.7674128	-0.7947347	-0.7511078
sal + phosphate_star	Atlantic	(27,27.25]	-0.8023876	-0.8166201	-0.7914720
sal + phosphate_star	Atlantic	(27.25,27.5]	-0.8631504	-0.8861781	-0.8396645
sal + phosphate_star	Atlantic	(27.5,27.75]	-0.5942577	-0.6150377	-0.5610753
sal + phosphate_star	Atlantic	(27.75,27.85]	-0.8727398	-0.8869068	-0.8560330
sal + phosphate_star	Atlantic	(27.85,27.95]	-0.8675347	-0.8800239	-0.8475539
sal + phosphate_star	Atlantic	(27.95,28.05]	-0.9447609	-0.9484442	-0.9379866
sal + phosphate_star	Atlantic	(28.05,28.1]	-0.9801207	-0.9832294	-0.9759277
sal + phosphate_star	Atlantic	(28.1,28.15]	-0.9883953	-0.9899963	-0.9868125
sal + phosphate_star	Atlantic	(28.15,28.2]	-0.9709789	-0.9746306	-0.9676936
sal + phosphate_star	Atlantic	(28.2, Inf]	-0.8341624	-0.8424628	-0.8247670
sal + phosphate_star	Indo-Pacific	(-Inf,26]	-0.7043946	-0.7123671	-0.6995093
sal + phosphate_star	Indo-Pacific	(26,26.5]	-0.8614672	-0.8669587	-0.8568775
sal + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.8715103	-0.8858283	-0.8642822
sal + phosphate_star	Indo-Pacific	(26.75,27]	-0.8408313	-0.8466869	-0.8323149
sal + phosphate_star	Indo-Pacific	(27,27.25]	-0.8987375	-0.9032143	-0.8935790
sal + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.8043176	-0.8235628	-0.7814058
sal + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.8108361	-0.8179989	-0.8059593
sal + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.8950439	-0.9156131	-0.8779190
sal + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.7419318	-0.7580404	-0.7284946
sal + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.6532116	-0.6643262	-0.6359201
sal + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.5887075	-0.6111616	-0.5628428
sal + phosphate_star	Indo-Pacific	(28.1, Inf]	0.0780517	0.0761039	0.0813222
sal + silicate	Atlantic	(-Inf,26]	-0.7646952	-0.7759340	-0.7479277
sal + silicate	Atlantic	(26,26.5]	0.1563346	0.1358547	0.1824386
sal + silicate	Atlantic	(26.5,26.75]	0.2938427	0.2631346	0.3134866
sal + silicate	Atlantic	(26.75,27]	0.1846592	0.1681187	0.2050290
sal + silicate	Atlantic	(27,27.25]	-0.1127028	-0.1687343	-0.0635995
sal + silicate	Atlantic	(27.25,27.5]	-0.3521627	-0.3843740	-0.3108004
sal + silicate	Atlantic	(27.5,27.75]	-0.1457466	-0.1783265	-0.1001283
sal + silicate	Atlantic	(27.75,27.85]	-0.7005938	-0.7342029	-0.6806787
sal + silicate	Atlantic	(27.85,27.95]	-0.8079803	-0.8289133	-0.7769773
sal + silicate	Atlantic	(27.95,28.05]	-0.8992042	-0.9045041	-0.8923732
sal + silicate	Atlantic	(28.05,28.1]	-0.9180002	-0.9224610	-0.9145522
sal + silicate	Atlantic	(28.1,28.15]	-0.9269231	-0.9345799	-0.9191765
sal + silicate	Atlantic	(28.15,28.2]	-0.7611140	-0.7703150	-0.7561314
sal + silicate	Atlantic	(28.2, Inf]	-0.2738745	-0.2985097	-0.2446307
sal + silicate	Indo-Pacific	(-Inf,26]	-0.5411724	-0.5552634	-0.5327412
sal + silicate	Indo-Pacific	(26,26.5]	-0.5820729	-0.5862110	-0.5781670
sal + silicate	Indo-Pacific	(26.5,26.75]	-0.6110307	-0.6257090	-0.6035758
sal + silicate	Indo-Pacific	(26.75,27]	-0.6613766	-0.6704496	-0.6534117
sal + silicate	Indo-Pacific	(27,27.25]	-0.7544291	-0.7613691	-0.7435545
sal + silicate	Indo-Pacific	(27.25,27.5]	-0.4666067	-0.5250349	-0.4156199
sal + silicate	Indo-Pacific	(27.5,27.75]	0.3357166	0.2942354	0.3845728
sal + silicate	Indo-Pacific	(27.75,27.85]	0.6826260	0.6718090	0.6896172
sal + silicate	Indo-Pacific	(27.85,27.95]	0.7095246	0.7028505	0.7191119
sal + silicate	Indo-Pacific	(27.95,28.05]	0.8040500	0.7889923	0.8166979
sal + silicate	Indo-Pacific	(28.05,28.1]	0.8199493	0.8096296	0.8317793
sal + silicate	Indo-Pacific	(28.1, Inf]	0.6669675	0.6486859	0.6833820
sal + temp	Atlantic	(-Inf,26]	0.6496502	0.6337157	0.6697780
sal + temp	Atlantic	(26,26.5]	0.9579122	0.9561394	0.9607881
sal + temp	Atlantic	(26.5,26.75]	0.9684702	0.9668155	0.9714825
sal + temp	Atlantic	(26.75,27]	0.9705864	0.9699911	0.9717698
sal + temp	Atlantic	(27,27.25]	0.9635382	0.9632614	0.9640744
sal + temp	Atlantic	(27.25,27.5]	0.9723312	0.9709599	0.9736545
sal + temp	Atlantic	(27.5,27.75]	0.9679012	0.9661666	0.9690680
sal + temp	Atlantic	(27.75,27.85]	0.9867814	0.9862737	0.9874755
sal + temp	Atlantic	(27.85,27.95]	0.9793965	0.9730981	0.9830918
sal + temp	Atlantic	(27.95,28.05]	0.9758141	0.9751513	0.9761625
sal + temp	Atlantic	(28.05,28.1]	0.9866269	0.9864131	0.9868972
sal + temp	Atlantic	(28.1,28.15]	0.9834157	0.9821613	0.9846618
sal + temp	Atlantic	(28.15,28.2]	0.9790776	0.9784004	0.9794914
sal + temp	Atlantic	(28.2, Inf]	0.9362358	0.9326114	0.9387276
sal + temp	Indo-Pacific	(-Inf,26]	0.8187039	0.8160229	0.8211144
sal + temp	Indo-Pacific	(26,26.5]	0.9529658	0.9511921	0.9541259
sal + temp	Indo-Pacific	(26.5,26.75]	0.9802661	0.9795531	0.9808262
sal + temp	Indo-Pacific	(26.75,27]	0.9788694	0.9781118	0.9795745
sal + temp	Indo-Pacific	(27,27.25]	0.9745850	0.9738689	0.9749745
sal + temp	Indo-Pacific	(27.25,27.5]	0.9217932	0.9200686	0.9235517
sal + temp	Indo-Pacific	(27.5,27.75]	0.8725828	0.8688252	0.8762129
sal + temp	Indo-Pacific	(27.75,27.85]	0.9712127	0.9683615	0.9732503
sal + temp	Indo-Pacific	(27.85,27.95]	0.9393947	0.9382519	0.9411320
sal + temp	Indo-Pacific	(27.95,28.05]	0.9452408	0.9425550	0.9474471
sal + temp	Indo-Pacific	(28.05,28.1]	0.9751068	0.9742854	0.9760309
sal + temp	Indo-Pacific	(28.1, Inf]	0.4300792	0.4101594	0.4405350
silicate + phosphate	Atlantic	(-Inf,26]	-0.1279497	-0.1555824	-0.0775562
silicate + phosphate	Atlantic	(26,26.5]	0.0459282	-0.0002766	0.0936448
silicate + phosphate	Atlantic	(26.5,26.75]	0.5763159	0.5240167	0.6070399
silicate + phosphate	Atlantic	(26.75,27]	0.8460994	0.8418226	0.8496075
silicate + phosphate	Atlantic	(27,27.25]	0.9035331	0.8999426	0.9085838
silicate + phosphate	Atlantic	(27.25,27.5]	0.8972519	0.8921617	0.9008059
silicate + phosphate	Atlantic	(27.5,27.75]	0.8970248	0.8958479	0.8987935
silicate + phosphate	Atlantic	(27.75,27.85]	0.8778074	0.8748629	0.8805623
silicate + phosphate	Atlantic	(27.85,27.95]	0.9340291	0.9279468	0.9392950
silicate + phosphate	Atlantic	(27.95,28.05]	0.9742262	0.9737590	0.9746279
silicate + phosphate	Atlantic	(28.05,28.1]	0.9860607	0.9850517	0.9871802
silicate + phosphate	Atlantic	(28.1,28.15]	0.9881871	0.9874090	0.9891322
silicate + phosphate	Atlantic	(28.15,28.2]	0.9366451	0.9362072	0.9374010
silicate + phosphate	Atlantic	(28.2, Inf]	0.7949395	0.7834844	0.8023669
silicate + phosphate	Indo-Pacific	(-Inf,26]	0.8854336	0.8830309	0.8876709
silicate + phosphate	Indo-Pacific	(26,26.5]	0.8768726	0.8757979	0.8788381
silicate + phosphate	Indo-Pacific	(26.5,26.75]	0.8646888	0.8611339	0.8672055
silicate + phosphate	Indo-Pacific	(26.75,27]	0.9205442	0.9193248	0.9222848
silicate + phosphate	Indo-Pacific	(27,27.25]	0.9573856	0.9560788	0.9581097
silicate + phosphate	Indo-Pacific	(27.25,27.5]	0.9717883	0.9712881	0.9726395
silicate + phosphate	Indo-Pacific	(27.5,27.75]	0.9806173	0.9802312	0.9810638
silicate + phosphate	Indo-Pacific	(27.75,27.85]	0.9881099	0.9874212	0.9890140
silicate + phosphate	Indo-Pacific	(27.85,27.95]	0.9874501	0.9868981	0.9883308
silicate + phosphate	Indo-Pacific	(27.95,28.05]	0.9936513	0.9932568	0.9940458
silicate + phosphate	Indo-Pacific	(28.05,28.1]	0.9942440	0.9941682	0.9943348
silicate + phosphate	Indo-Pacific	(28.1, Inf]	0.8640250	0.8615102	0.8655804
silicate + phosphate_star	Atlantic	(-Inf,26]	-0.1875784	-0.2561830	-0.0998940
silicate + phosphate_star	Atlantic	(26,26.5]	-0.2805213	-0.3076092	-0.2276713
silicate + phosphate_star	Atlantic	(26.5,26.75]	0.0397773	-0.0218530	0.0815315
silicate + phosphate_star	Atlantic	(26.75,27]	0.1925602	0.1820077	0.2134018
silicate + phosphate_star	Atlantic	(27,27.25]	0.5397439	0.5063125	0.5727847
silicate + phosphate_star	Atlantic	(27.25,27.5]	0.6746586	0.6664658	0.6829700
silicate + phosphate_star	Atlantic	(27.5,27.75]	0.7982874	0.7890718	0.8090029
silicate + phosphate_star	Atlantic	(27.75,27.85]	0.9118971	0.8983310	0.9207235
silicate + phosphate_star	Atlantic	(27.85,27.95]	0.9650014	0.9613121	0.9699764
silicate + phosphate_star	Atlantic	(27.95,28.05]	0.9216593	0.9204604	0.9226163
silicate + phosphate_star	Atlantic	(28.05,28.1]	0.9229001	0.9172055	0.9263190
silicate + phosphate_star	Atlantic	(28.1,28.15]	0.9404966	0.9319589	0.9464390
silicate + phosphate_star	Atlantic	(28.15,28.2]	0.8662034	0.8639102	0.8675357
silicate + phosphate_star	Atlantic	(28.2, Inf]	0.7349008	0.7258939	0.7426982
silicate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7738949	0.7675424	0.7807808
silicate + phosphate_star	Indo-Pacific	(26,26.5]	0.7797123	0.7766946	0.7822325
silicate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.7992423	0.7946341	0.8051382
silicate + phosphate_star	Indo-Pacific	(26.75,27]	0.8206274	0.8134248	0.8313006
silicate + phosphate_star	Indo-Pacific	(27,27.25]	0.8137396	0.7976646	0.8261574
silicate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.5194974	0.4654951	0.5698746
silicate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.1110189	-0.1609951	-0.0682652
silicate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.4786425	-0.4861421	-0.4683375
silicate + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.2653160	-0.2787307	-0.2513138
silicate + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.2720511	-0.3000738	-0.2326263
silicate + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.1778605	-0.2273140	-0.1292974
silicate + phosphate_star	Indo-Pacific	(28.1, Inf]	0.4396309	0.4242114	0.4503379
temp + aou	Atlantic	(-Inf,26]	-0.6700244	-0.7187695	-0.6219356
temp + aou	Atlantic	(26,26.5]	-0.4211048	-0.4393945	-0.3983072
temp + aou	Atlantic	(26.5,26.75]	0.1430678	0.1282725	0.1505521
temp + aou	Atlantic	(26.75,27]	0.3953232	0.3838686	0.4148790
temp + aou	Atlantic	(27,27.25]	0.3358138	0.3053457	0.3689920
temp + aou	Atlantic	(27.25,27.5]	0.4160782	0.4100622	0.4271072
temp + aou	Atlantic	(27.5,27.75]	0.6650849	0.6593744	0.6756919
temp + aou	Atlantic	(27.75,27.85]	0.6637132	0.6036067	0.7064296
temp + aou	Atlantic	(27.85,27.95]	0.1948287	0.0837711	0.3061431
temp + aou	Atlantic	(27.95,28.05]	0.1587119	0.1305044	0.1753258
temp + aou	Atlantic	(28.05,28.1]	-0.2369744	-0.2891728	-0.1944942
temp + aou	Atlantic	(28.1,28.15]	-0.6648341	-0.7020324	-0.6084560
temp + aou	Atlantic	(28.15,28.2]	-0.7508872	-0.7593362	-0.7394625
temp + aou	Atlantic	(28.2, Inf]	-0.7400815	-0.7582652	-0.7264489
temp + aou	Indo-Pacific	(-Inf,26]	-0.3834692	-0.3940885	-0.3768616
temp + aou	Indo-Pacific	(26,26.5]	-0.2066777	-0.2181501	-0.1947880
temp + aou	Indo-Pacific	(26.5,26.75]	-0.1773988	-0.1825913	-0.1695095
temp + aou	Indo-Pacific	(26.75,27]	-0.3570985	-0.3783229	-0.3459614
temp + aou	Indo-Pacific	(27,27.25]	-0.5564212	-0.5627402	-0.5461527
temp + aou	Indo-Pacific	(27.25,27.5]	-0.2337211	-0.2870133	-0.1847515
temp + aou	Indo-Pacific	(27.5,27.75]	0.4194206	0.3890646	0.4551383
temp + aou	Indo-Pacific	(27.75,27.85]	0.7622489	0.7595994	0.7637408
temp + aou	Indo-Pacific	(27.85,27.95]	0.7388810	0.7378033	0.7399692
temp + aou	Indo-Pacific	(27.95,28.05]	0.7932474	0.7812037	0.8021415
temp + aou	Indo-Pacific	(28.05,28.1]	0.8275996	0.8162061	0.8401017
temp + aou	Indo-Pacific	(28.1, Inf]	0.7895982	0.7815290	0.7940221
temp + nitrate	Atlantic	(-Inf,26]	-0.7476278	-0.7765520	-0.7045276
temp + nitrate	Atlantic	(26,26.5]	-0.4606519	-0.4814619	-0.4253342
temp + nitrate	Atlantic	(26.5,26.75]	0.0640992	0.0549627	0.0718773
temp + nitrate	Atlantic	(26.75,27]	0.3149810	0.3120046	0.3183040
temp + nitrate	Atlantic	(27,27.25]	0.1609371	0.1224422	0.2035520
temp + nitrate	Atlantic	(27.25,27.5]	-0.0200875	-0.0581791	0.0225984
temp + nitrate	Atlantic	(27.5,27.75]	0.1731723	0.1553395	0.2077595
temp + nitrate	Atlantic	(27.75,27.85]	-0.3459110	-0.3888465	-0.3210154
temp + nitrate	Atlantic	(27.85,27.95]	-0.6295826	-0.6434982	-0.6075282
temp + nitrate	Atlantic	(27.95,28.05]	-0.8027890	-0.8074654	-0.7992533
temp + nitrate	Atlantic	(28.05,28.1]	-0.8797992	-0.8812565	-0.8774834
temp + nitrate	Atlantic	(28.1,28.15]	-0.9143944	-0.9191892	-0.9072125
temp + nitrate	Atlantic	(28.15,28.2]	-0.9218738	-0.9263858	-0.9194126
temp + nitrate	Atlantic	(28.2, Inf]	-0.9103360	-0.9187781	-0.9004164
temp + nitrate	Indo-Pacific	(-Inf,26]	-0.5310204	-0.5397069	-0.5244829
temp + nitrate	Indo-Pacific	(26,26.5]	-0.4445376	-0.4593025	-0.4341021
temp + nitrate	Indo-Pacific	(26.5,26.75]	-0.4199186	-0.4325442	-0.4114562
temp + nitrate	Indo-Pacific	(26.75,27]	-0.5284057	-0.5442003	-0.5179651
temp + nitrate	Indo-Pacific	(27,27.25]	-0.7045601	-0.7100704	-0.7003534
temp + nitrate	Indo-Pacific	(27.25,27.5]	-0.3965676	-0.4442331	-0.3504791
temp + nitrate	Indo-Pacific	(27.5,27.75]	0.2748543	0.2450032	0.3126926
temp + nitrate	Indo-Pacific	(27.75,27.85]	0.7096941	0.7055104	0.7151441
temp + nitrate	Indo-Pacific	(27.85,27.95]	0.6733060	0.6715804	0.6752639
temp + nitrate	Indo-Pacific	(27.95,28.05]	0.7163872	0.7003908	0.7267259
temp + nitrate	Indo-Pacific	(28.05,28.1]	0.7544674	0.7403438	0.7702187
temp + nitrate	Indo-Pacific	(28.1, Inf]	0.7205191	0.7090342	0.7265750
temp + phosphate	Atlantic	(-Inf,26]	-0.6865884	-0.7136728	-0.6408854
temp + phosphate	Atlantic	(26,26.5]	-0.6510253	-0.6666253	-0.6309549
temp + phosphate	Atlantic	(26.5,26.75]	-0.0933258	-0.1133071	-0.0820720
temp + phosphate	Atlantic	(26.75,27]	0.2071536	0.2055761	0.2088129
temp + phosphate	Atlantic	(27,27.25]	0.0410504	0.0017413	0.0843889
temp + phosphate	Atlantic	(27.25,27.5]	-0.1267356	-0.1635293	-0.0834110
temp + phosphate	Atlantic	(27.5,27.75]	0.0817140	0.0640648	0.1153379
temp + phosphate	Atlantic	(27.75,27.85]	-0.4151339	-0.4551208	-0.3934158
temp + phosphate	Atlantic	(27.85,27.95]	-0.6607150	-0.6734634	-0.6421769
temp + phosphate	Atlantic	(27.95,28.05]	-0.8155538	-0.8207112	-0.8120772
temp + phosphate	Atlantic	(28.05,28.1]	-0.8842760	-0.8858399	-0.8826565
temp + phosphate	Atlantic	(28.1,28.15]	-0.9154351	-0.9197685	-0.9081625
temp + phosphate	Atlantic	(28.15,28.2]	-0.9125059	-0.9173452	-0.9098880
temp + phosphate	Atlantic	(28.2, Inf]	-0.8763906	-0.8873048	-0.8664438
temp + phosphate	Indo-Pacific	(-Inf,26]	-0.5015340	-0.5120320	-0.4943690
temp + phosphate	Indo-Pacific	(26,26.5]	-0.4259616	-0.4310403	-0.4190688
temp + phosphate	Indo-Pacific	(26.5,26.75]	-0.3490131	-0.3628666	-0.3390940
temp + phosphate	Indo-Pacific	(26.75,27]	-0.4693785	-0.4860960	-0.4556112
temp + phosphate	Indo-Pacific	(27,27.25]	-0.6502717	-0.6558430	-0.6456693
temp + phosphate	Indo-Pacific	(27.25,27.5]	-0.3594441	-0.4121811	-0.3097023
temp + phosphate	Indo-Pacific	(27.5,27.75]	0.2990812	0.2678294	0.3354926
temp + phosphate	Indo-Pacific	(27.75,27.85]	0.7052762	0.7024619	0.7098108
temp + phosphate	Indo-Pacific	(27.85,27.95]	0.6861509	0.6844956	0.6884615
temp + phosphate	Indo-Pacific	(27.95,28.05]	0.7292622	0.7149917	0.7378604
temp + phosphate	Indo-Pacific	(28.05,28.1]	0.7764452	0.7637561	0.7908627
temp + phosphate	Indo-Pacific	(28.1, Inf]	0.7435040	0.7305208	0.7508612
temp + phosphate_star	Atlantic	(-Inf,26]	-0.6652424	-0.7260009	-0.6280137
temp + phosphate_star	Atlantic	(26,26.5]	-0.8624649	-0.8755885	-0.8512375
temp + phosphate_star	Atlantic	(26.5,26.75]	-0.8147073	-0.8234101	-0.8084566
temp + phosphate_star	Atlantic	(26.75,27]	-0.8060995	-0.8308568	-0.7863604
temp + phosphate_star	Atlantic	(27,27.25]	-0.8008071	-0.8110839	-0.7881382
temp + phosphate_star	Atlantic	(27.25,27.5]	-0.8394477	-0.8639386	-0.8126890
temp + phosphate_star	Atlantic	(27.5,27.75]	-0.6092597	-0.6247131	-0.5815303
temp + phosphate_star	Atlantic	(27.75,27.85]	-0.8756569	-0.8837428	-0.8632947
temp + phosphate_star	Atlantic	(27.85,27.95]	-0.8857192	-0.8884133	-0.8841811
temp + phosphate_star	Atlantic	(27.95,28.05]	-0.9555392	-0.9576010	-0.9534370
temp + phosphate_star	Atlantic	(28.05,28.1]	-0.9718288	-0.9731871	-0.9697170
temp + phosphate_star	Atlantic	(28.1,28.15]	-0.9750209	-0.9753769	-0.9746050
temp + phosphate_star	Atlantic	(28.15,28.2]	-0.9723637	-0.9764594	-0.9693627
temp + phosphate_star	Atlantic	(28.2, Inf]	-0.9353382	-0.9425028	-0.9256954
temp + phosphate_star	Indo-Pacific	(-Inf,26]	-0.8438041	-0.8481518	-0.8374262
temp + phosphate_star	Indo-Pacific	(26,26.5]	-0.9094064	-0.9114560	-0.9079368
temp + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.8755407	-0.8914521	-0.8675745
temp + phosphate_star	Indo-Pacific	(26.75,27]	-0.8415012	-0.8478710	-0.8339376
temp + phosphate_star	Indo-Pacific	(27,27.25]	-0.9159306	-0.9204050	-0.9079272
temp + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.9088090	-0.9249468	-0.8937171
temp + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.9396860	-0.9435418	-0.9355283
temp + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.9218398	-0.9336436	-0.9086104
temp + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.8333743	-0.8454167	-0.8244121
temp + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.7738508	-0.7857089	-0.7613147
temp + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.6578619	-0.6767901	-0.6340239
temp + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.3090619	-0.3219486	-0.2891785
temp + silicate	Atlantic	(-Inf,26]	-0.3554175	-0.3735035	-0.3279620
temp + silicate	Atlantic	(26,26.5]	0.1114612	0.0886562	0.1307768
temp + silicate	Atlantic	(26.5,26.75]	0.1915472	0.1609472	0.2129935
temp + silicate	Atlantic	(26.75,27]	0.0735376	0.0616572	0.0902589
temp + silicate	Atlantic	(27,27.25]	-0.1616163	-0.2078150	-0.1172770
temp + silicate	Atlantic	(27.25,27.5]	-0.3073177	-0.3365096	-0.2627049
temp + silicate	Atlantic	(27.5,27.75]	-0.1702392	-0.1917195	-0.1319629
temp + silicate	Atlantic	(27.75,27.85]	-0.6871786	-0.7137154	-0.6696241
temp + silicate	Atlantic	(27.85,27.95]	-0.8131066	-0.8221367	-0.8054651
temp + silicate	Atlantic	(27.95,28.05]	-0.8595227	-0.8628726	-0.8574755
temp + silicate	Atlantic	(28.05,28.1]	-0.8733213	-0.8768075	-0.8664851
temp + silicate	Atlantic	(28.1,28.15]	-0.8801414	-0.8890915	-0.8672775
temp + silicate	Atlantic	(28.15,28.2]	-0.7514433	-0.7586717	-0.7470224
temp + silicate	Atlantic	(28.2, Inf]	-0.5092548	-0.5292946	-0.4861886
temp + silicate	Indo-Pacific	(-Inf,26]	-0.6045360	-0.6116774	-0.5930231
temp + silicate	Indo-Pacific	(26,26.5]	-0.6101824	-0.6173385	-0.6038923
temp + silicate	Indo-Pacific	(26.5,26.75]	-0.6021512	-0.6177068	-0.5940213
temp + silicate	Indo-Pacific	(26.75,27]	-0.6340763	-0.6466787	-0.6257538
temp + silicate	Indo-Pacific	(27,27.25]	-0.7395932	-0.7457652	-0.7333722
temp + silicate	Indo-Pacific	(27.25,27.5]	-0.4586494	-0.5088556	-0.4131402
temp + silicate	Indo-Pacific	(27.5,27.75]	0.2218703	0.1889698	0.2601219
temp + silicate	Indo-Pacific	(27.75,27.85]	0.6779891	0.6735948	0.6827179
temp + silicate	Indo-Pacific	(27.85,27.95]	0.6616239	0.6589838	0.6648180
temp + silicate	Indo-Pacific	(27.95,28.05]	0.7420667	0.7245979	0.7525075
temp + silicate	Indo-Pacific	(28.05,28.1]	0.7971109	0.7860740	0.8101262
temp + silicate	Indo-Pacific	(28.1, Inf]	0.5818365	0.5614235	0.5938917

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
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]	0.3746218	0.3462695	0.4265016
aou	Atlantic	(26,26.5]	0.0330995	-0.0685593	0.1538862
aou	Atlantic	(26.5,26.75]	0.0530221	-0.1314295	0.2430002
aou	Atlantic	(26.75,27]	-0.0257057	-0.2315297	0.2216594
aou	Atlantic	(27,27.25]	-0.3533655	-0.4967959	-0.1879617
aou	Atlantic	(27.25,27.5]	-0.2641446	-0.3973877	-0.1249572
aou	Atlantic	(27.5,27.75]	-0.1398082	-0.1907231	-0.0881101
aou	Atlantic	(27.75,27.85]	-0.0424943	-0.0640243	-0.0147130
aou	Atlantic	(27.85,27.95]	-0.5014766	-0.5694635	-0.4574794
aou	Atlantic	(27.95,28.05]	-0.3156562	-0.3546685	-0.2905589
aou	Atlantic	(28.05,28.1]	-0.5832251	-0.5917209	-0.5691760
aou	Atlantic	(28.1,28.15]	-0.8746068	-0.8829677	-0.8644180
aou	Atlantic	(28.15,28.2]	-0.9231484	-0.9265815	-0.9207105
aou	Atlantic	(28.2, Inf]	-0.8664565	-0.8784956	-0.8534427
aou	Indo-Pacific	(-Inf,26]	-0.0662900	-0.2181232	0.0636211
aou	Indo-Pacific	(26,26.5]	-0.4386037	-0.5827511	-0.2765206
aou	Indo-Pacific	(26.5,26.75]	-0.7420893	-0.8142299	-0.6515971
aou	Indo-Pacific	(26.75,27]	-0.8147063	-0.8657908	-0.7438831
aou	Indo-Pacific	(27,27.25]	-0.7996248	-0.8686826	-0.7169073
aou	Indo-Pacific	(27.25,27.5]	-0.6579011	-0.8275156	-0.4130549
aou	Indo-Pacific	(27.5,27.75]	-0.2109813	-0.7067698	0.4554565
aou	Indo-Pacific	(27.75,27.85]	0.1164013	-0.4685974	0.7618456
aou	Indo-Pacific	(27.85,27.95]	0.2925311	-0.1548760	0.7161723
aou	Indo-Pacific	(27.95,28.05]	0.1540051	-0.2199878	0.5514874
aou	Indo-Pacific	(28.05,28.1]	0.2611363	-0.0603525	0.6024960
aou	Indo-Pacific	(28.1, Inf]	0.5374020	0.4539346	0.6155318
nitrate	Atlantic	(-Inf,26]	0.0342881	0.0107932	0.0641733
nitrate	Atlantic	(26,26.5]	-0.1868251	-0.2952429	-0.0601091
nitrate	Atlantic	(26.5,26.75]	-0.0992642	-0.2856591	0.0947546
nitrate	Atlantic	(26.75,27]	-0.1491828	-0.3456847	0.0863665
nitrate	Atlantic	(27,27.25]	-0.5596648	-0.6737458	-0.4241224
nitrate	Atlantic	(27.25,27.5]	-0.6984637	-0.7754959	-0.6155761
nitrate	Atlantic	(27.5,27.75]	-0.8446137	-0.8722754	-0.8164416
nitrate	Atlantic	(27.75,27.85]	-0.9084347	-0.9184034	-0.8912478
nitrate	Atlantic	(27.85,27.95]	-0.9668298	-0.9716486	-0.9581035
nitrate	Atlantic	(27.95,28.05]	-0.9446962	-0.9487072	-0.9406937
nitrate	Atlantic	(28.05,28.1]	-0.9910872	-0.9920612	-0.9905075
nitrate	Atlantic	(28.1,28.15]	-0.9940519	-0.9953746	-0.9928912
nitrate	Atlantic	(28.15,28.2]	-0.9950424	-0.9973660	-0.9920640
nitrate	Atlantic	(28.2, Inf]	-0.9776704	-0.9804527	-0.9728030
nitrate	Indo-Pacific	(-Inf,26]	-0.0844423	-0.2350194	0.0464941
nitrate	Indo-Pacific	(26,26.5]	-0.4259822	-0.5569453	-0.2913963
nitrate	Indo-Pacific	(26.5,26.75]	-0.6551013	-0.7114730	-0.5760893
nitrate	Indo-Pacific	(26.75,27]	-0.7036877	-0.7420500	-0.6355535
nitrate	Indo-Pacific	(27,27.25]	-0.7518869	-0.8204990	-0.6772807
nitrate	Indo-Pacific	(27.25,27.5]	-0.6559963	-0.8102709	-0.4279456
nitrate	Indo-Pacific	(27.5,27.75]	-0.2392355	-0.7197792	0.4053180
nitrate	Indo-Pacific	(27.75,27.85]	0.1463558	-0.4344615	0.7704810
nitrate	Indo-Pacific	(27.85,27.95]	0.3446216	-0.0874826	0.7452055
nitrate	Indo-Pacific	(27.95,28.05]	0.2275719	-0.1285378	0.6018336
nitrate	Indo-Pacific	(28.05,28.1]	0.3373145	0.0370230	0.6532738
nitrate	Indo-Pacific	(28.1, Inf]	0.5616928	0.4927833	0.6248576
phosphate	Atlantic	(-Inf,26]	0.4542599	0.4060538	0.5311953
phosphate	Atlantic	(26,26.5]	0.0505066	-0.0121067	0.1214004
phosphate	Atlantic	(26.5,26.75]	-0.0919432	-0.2554176	0.0866576
phosphate	Atlantic	(26.75,27]	-0.1845733	-0.3646141	0.0286067
phosphate	Atlantic	(27,27.25]	-0.6065848	-0.7088327	-0.4831834
phosphate	Atlantic	(27.25,27.5]	-0.7474391	-0.8100106	-0.6780839
phosphate	Atlantic	(27.5,27.75]	-0.8701485	-0.8918647	-0.8473765
phosphate	Atlantic	(27.75,27.85]	-0.9320395	-0.9389979	-0.9191250
phosphate	Atlantic	(27.85,27.95]	-0.9690196	-0.9745596	-0.9589234
phosphate	Atlantic	(27.95,28.05]	-0.9474650	-0.9530382	-0.9433994
phosphate	Atlantic	(28.05,28.1]	-0.9910544	-0.9923829	-0.9902410
phosphate	Atlantic	(28.1,28.15]	-0.9939826	-0.9951672	-0.9929020
phosphate	Atlantic	(28.15,28.2]	-0.9934383	-0.9956022	-0.9921769
phosphate	Atlantic	(28.2, Inf]	-0.9834169	-0.9855050	-0.9819542
phosphate	Indo-Pacific	(-Inf,26]	-0.1132227	-0.2672521	0.0197987
phosphate	Indo-Pacific	(26,26.5]	-0.5694561	-0.7005396	-0.4164197
phosphate	Indo-Pacific	(26.5,26.75]	-0.8142773	-0.8738145	-0.7355653
phosphate	Indo-Pacific	(26.75,27]	-0.8515544	-0.8906166	-0.7953307
phosphate	Indo-Pacific	(27,27.25]	-0.8395725	-0.8947858	-0.7747509
phosphate	Indo-Pacific	(27.25,27.5]	-0.7155410	-0.8594786	-0.5015039
phosphate	Indo-Pacific	(27.5,27.75]	-0.2453640	-0.7161450	0.3924383
phosphate	Indo-Pacific	(27.75,27.85]	0.1539944	-0.4173642	0.7721575
phosphate	Indo-Pacific	(27.85,27.95]	0.3298158	-0.1006750	0.7330874
phosphate	Indo-Pacific	(27.95,28.05]	0.2167266	-0.1379045	0.5899107
phosphate	Indo-Pacific	(28.05,28.1]	0.3095532	0.0087986	0.6270163
phosphate	Indo-Pacific	(28.1, Inf]	0.5165963	0.4409112	0.5857852
phosphate_star	Atlantic	(-Inf,26]	0.1163578	0.0299013	0.1605950
phosphate_star	Atlantic	(26,26.5]	0.1218474	0.0976395	0.1412682
phosphate_star	Atlantic	(26.5,26.75]	-0.3450021	-0.3805592	-0.3242526
phosphate_star	Atlantic	(26.75,27]	-0.4829994	-0.5888936	-0.4149943
phosphate_star	Atlantic	(27,27.25]	-0.6328849	-0.6963872	-0.5500649
phosphate_star	Atlantic	(27.25,27.5]	-0.7700774	-0.8383839	-0.6966505
phosphate_star	Atlantic	(27.5,27.75]	-0.7987525	-0.8353090	-0.7582869
phosphate_star	Atlantic	(27.75,27.85]	-0.8904595	-0.9326407	-0.8475468
phosphate_star	Atlantic	(27.85,27.95]	-0.9020947	-0.9268296	-0.8669302
phosphate_star	Atlantic	(27.95,28.05]	-0.8729267	-0.9004582	-0.8498173
phosphate_star	Atlantic	(28.05,28.1]	-0.9435061	-0.9627220	-0.9238195
phosphate_star	Atlantic	(28.1,28.15]	-0.9663945	-0.9784834	-0.9516683
phosphate_star	Atlantic	(28.15,28.2]	-0.9774983	-0.9846095	-0.9681058
phosphate_star	Atlantic	(28.2, Inf]	-0.9805209	-0.9860722	-0.9729914
phosphate_star	Indo-Pacific	(-Inf,26]	0.0131201	-0.1088964	0.1194086
phosphate_star	Indo-Pacific	(26,26.5]	-0.5719296	-0.6199539	-0.5151221
phosphate_star	Indo-Pacific	(26.5,26.75]	-0.6297169	-0.6417199	-0.6095645
phosphate_star	Indo-Pacific	(26.75,27]	-0.5761310	-0.6026882	-0.5466346
phosphate_star	Indo-Pacific	(27,27.25]	-0.6878827	-0.7033184	-0.6770857
phosphate_star	Indo-Pacific	(27.25,27.5]	-0.5471001	-0.5667316	-0.5247724
phosphate_star	Indo-Pacific	(27.5,27.75]	-0.1744819	-0.4964983	0.0736165
phosphate_star	Indo-Pacific	(27.75,27.85]	0.2837938	-0.2657616	0.7084575
phosphate_star	Indo-Pacific	(27.85,27.95]	0.3224945	0.0154093	0.6086209
phosphate_star	Indo-Pacific	(27.95,28.05]	0.4918780	0.2106206	0.7213886
phosphate_star	Indo-Pacific	(28.05,28.1]	0.4554324	0.2128486	0.6671448
phosphate_star	Indo-Pacific	(28.1, Inf]	0.0807734	0.0198067	0.1277401
sal	Atlantic	(-Inf,26]	0.6312610	0.5958578	0.6739859
sal	Atlantic	(26,26.5]	-0.1137891	-0.1503353	-0.0731308
sal	Atlantic	(26.5,26.75]	0.0052899	-0.0796096	0.0801324
sal	Atlantic	(26.75,27]	-0.0010189	-0.1213091	0.2083076
sal	Atlantic	(27,27.25]	0.0857339	-0.0365390	0.1986459
sal	Atlantic	(27.25,27.5]	0.3706819	0.2280840	0.5112846
sal	Atlantic	(27.5,27.75]	0.0055237	-0.0994917	0.0919749
sal	Atlantic	(27.75,27.85]	0.5676677	0.4960760	0.6693195
sal	Atlantic	(27.85,27.95]	0.5967603	0.5455543	0.6468143
sal	Atlantic	(27.95,28.05]	0.7444806	0.7027893	0.7831920
sal	Atlantic	(28.05,28.1]	0.9006395	0.8845324	0.9274351
sal	Atlantic	(28.1,28.15]	0.9402236	0.9250743	0.9565437
sal	Atlantic	(28.15,28.2]	0.9405586	0.9183957	0.9519810
sal	Atlantic	(28.2, Inf]	0.7755788	0.7466454	0.7919411
sal	Indo-Pacific	(-Inf,26]	-0.0700469	-0.1340592	0.0025591
sal	Indo-Pacific	(26,26.5]	0.3122910	0.2895492	0.3412579
sal	Indo-Pacific	(26.5,26.75]	0.3000203	0.2797798	0.3319480
sal	Indo-Pacific	(26.75,27]	0.2123564	0.1533836	0.2446186
sal	Indo-Pacific	(27,27.25]	0.4469866	0.4103461	0.4832091
sal	Indo-Pacific	(27.25,27.5]	0.2102958	0.1450825	0.2579939
sal	Indo-Pacific	(27.5,27.75]	-0.1158305	-0.4018246	0.2997306
sal	Indo-Pacific	(27.75,27.85]	-0.2111205	-0.7255839	0.3735496
sal	Indo-Pacific	(27.85,27.95]	-0.0586251	-0.4819218	0.3608783
sal	Indo-Pacific	(27.95,28.05]	-0.2274633	-0.5657708	0.1579103
sal	Indo-Pacific	(28.05,28.1]	-0.1486779	-0.4561695	0.1947763
sal	Indo-Pacific	(28.1, Inf]	0.0409669	-0.0931106	0.1722347
silicate	Atlantic	(-Inf,26]	-0.6151796	-0.6692377	-0.5759839
silicate	Atlantic	(26,26.5]	-0.4843326	-0.5616034	-0.4023777
silicate	Atlantic	(26.5,26.75]	-0.3341240	-0.4801692	-0.1853399
silicate	Atlantic	(26.75,27]	-0.4187123	-0.6005781	-0.2252296
silicate	Atlantic	(27,27.25]	-0.7732478	-0.8457832	-0.6821081
silicate	Atlantic	(27.25,27.5]	-0.8647266	-0.8982598	-0.8195391
silicate	Atlantic	(27.5,27.75]	-0.9089054	-0.9097628	-0.9083379
silicate	Atlantic	(27.75,27.85]	-0.9269703	-0.9383697	-0.9150592
silicate	Atlantic	(27.85,27.95]	-0.9058572	-0.9214309	-0.8788001
silicate	Atlantic	(27.95,28.05]	-0.9026396	-0.9142168	-0.8959929
silicate	Atlantic	(28.05,28.1]	-0.9691874	-0.9729602	-0.9665123
silicate	Atlantic	(28.1,28.15]	-0.9789568	-0.9813088	-0.9757702
silicate	Atlantic	(28.15,28.2]	-0.9141806	-0.9239327	-0.9020995
silicate	Atlantic	(28.2, Inf]	-0.7716020	-0.7982863	-0.7364312
silicate	Indo-Pacific	(-Inf,26]	-0.0994619	-0.2435435	0.0142714
silicate	Indo-Pacific	(26,26.5]	-0.6506846	-0.7493134	-0.5330936
silicate	Indo-Pacific	(26.5,26.75]	-0.7528796	-0.8055915	-0.6840559
silicate	Indo-Pacific	(26.75,27]	-0.7033640	-0.7463373	-0.6406950
silicate	Indo-Pacific	(27,27.25]	-0.7049104	-0.7753431	-0.6248370
silicate	Indo-Pacific	(27.25,27.5]	-0.6117594	-0.7667434	-0.3852617
silicate	Indo-Pacific	(27.5,27.75]	-0.1891257	-0.6649332	0.4436059
silicate	Indo-Pacific	(27.75,27.85]	0.1804533	-0.3920066	0.7936385
silicate	Indo-Pacific	(27.85,27.95]	0.3402116	-0.0926349	0.7453098
silicate	Indo-Pacific	(27.95,28.05]	0.2112640	-0.1543056	0.5979271
silicate	Indo-Pacific	(28.05,28.1]	0.3044494	-0.0038341	0.6290616
silicate	Indo-Pacific	(28.1, Inf]	0.5013547	0.3970340	0.5977720
temp	Atlantic	(-Inf,26]	-0.0667079	-0.1064162	0.0007142
temp	Atlantic	(26,26.5]	-0.2553262	-0.2928860	-0.2148082
temp	Atlantic	(26.5,26.75]	-0.0165411	-0.0786825	0.0323372
temp	Atlantic	(26.75,27]	0.0679053	-0.0275051	0.2519540
temp	Atlantic	(27,27.25]	0.1123202	0.0072530	0.1980082
temp	Atlantic	(27.25,27.5]	0.3275791	0.1853461	0.4638032
temp	Atlantic	(27.5,27.75]	0.0268106	-0.0663985	0.0998257
temp	Atlantic	(27.75,27.85]	0.5697492	0.5023035	0.6607271
temp	Atlantic	(27.85,27.95]	0.6147904	0.5568689	0.6565050
temp	Atlantic	(27.95,28.05]	0.7227654	0.6846705	0.7618393
temp	Atlantic	(28.05,28.1]	0.8606172	0.8375706	0.8885029
temp	Atlantic	(28.1,28.15]	0.8955363	0.8722721	0.9148676
temp	Atlantic	(28.15,28.2]	0.9134172	0.8900187	0.9251355
temp	Atlantic	(28.2, Inf]	0.8775972	0.8623651	0.8904855
temp	Indo-Pacific	(-Inf,26]	-0.3902529	-0.4754478	-0.2944163
temp	Indo-Pacific	(26,26.5]	0.2703447	0.2316920	0.3115426
temp	Indo-Pacific	(26.5,26.75]	0.2598974	0.2300379	0.2990700
temp	Indo-Pacific	(26.75,27]	0.1462568	0.0854854	0.1791955
temp	Indo-Pacific	(27,27.25]	0.4172175	0.3892059	0.4476075
temp	Indo-Pacific	(27.25,27.5]	0.3208148	0.2979273	0.3331161
temp	Indo-Pacific	(27.5,27.75]	0.0982784	-0.1687571	0.4573063
temp	Indo-Pacific	(27.75,27.85]	-0.2168851	-0.7215610	0.3748344
temp	Indo-Pacific	(27.85,27.95]	-0.1159790	-0.5258497	0.2957557
temp	Indo-Pacific	(27.95,28.05]	-0.3049134	-0.6389178	0.0789867
temp	Indo-Pacific	(28.05,28.1]	-0.1665897	-0.4853566	0.1931339
temp	Indo-Pacific	(28.1, Inf]	0.2270506	0.1183046	0.3334594

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

03 March, 2021