eMLR - assumption testing

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Last updated: 2021-03-05

Checks: 7 0

Knit directory: emlr_mod_v_XXX/

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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.
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html	b50fe52	Donghe-Zhu	2021-01-31	Build site.
html	ac99ae5	jens-daniel-mueller	2021-01-29	code review
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html	8d032c3	jens-daniel-mueller	2021-01-14	Build site.
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Rmd	d44f36f	Donghe-Zhu	2021-01-13	reorder analysis final
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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.
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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))))
)
}

Past versions of predictor_correlation_per_basin-1.png

Version	Author	Date
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

Past versions of predictor_correlation_per_basin-2.png

Version	Author	Date
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")

Past versions of correlation_predictor_pairs-1.png

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]	0.8517641	0.8362470	0.8724445
aou + nitrate	Atlantic	(26,26.5]	0.9215669	0.9159726	0.9250984
aou + nitrate	Atlantic	(26.5,26.75]	0.9749529	0.9740163	0.9762702
aou + nitrate	Atlantic	(26.75,27]	0.9831666	0.9804264	0.9847245
aou + nitrate	Atlantic	(27,27.25]	0.9632403	0.9594586	0.9658917
aou + nitrate	Atlantic	(27.25,27.5]	0.8472048	0.8384751	0.8521221
aou + nitrate	Atlantic	(27.5,27.75]	0.6017325	0.5897780	0.6183807
aou + nitrate	Atlantic	(27.75,27.85]	0.4000045	0.3856554	0.4260195
aou + nitrate	Atlantic	(27.85,27.95]	0.5775367	0.5178767	0.6607277
aou + nitrate	Atlantic	(27.95,28.05]	0.3697541	0.3076537	0.4246840
aou + nitrate	Atlantic	(28.05,28.1]	0.6100661	0.5603069	0.6565085
aou + nitrate	Atlantic	(28.1,28.15]	0.8854599	0.8620410	0.9073600
aou + nitrate	Atlantic	(28.15,28.2]	0.9359499	0.9261422	0.9432955
aou + nitrate	Atlantic	(28.2, Inf]	0.9218371	0.9185188	0.9256573
aou + nitrate	Indo-Pacific	(-Inf,26]	0.9340146	0.9313919	0.9390546
aou + nitrate	Indo-Pacific	(26,26.5]	0.8504059	0.8479678	0.8546947
aou + nitrate	Indo-Pacific	(26.5,26.75]	0.7779575	0.7718530	0.7840602
aou + nitrate	Indo-Pacific	(26.75,27]	0.8406636	0.8353152	0.8489469
aou + nitrate	Indo-Pacific	(27,27.25]	0.9244864	0.9192289	0.9287302
aou + nitrate	Indo-Pacific	(27.25,27.5]	0.9494930	0.9478195	0.9509507
aou + nitrate	Indo-Pacific	(27.5,27.75]	0.9721459	0.9713375	0.9725534
aou + nitrate	Indo-Pacific	(27.75,27.85]	0.9910346	0.9907594	0.9914773
aou + nitrate	Indo-Pacific	(27.85,27.95]	0.9898522	0.9891508	0.9909282
aou + nitrate	Indo-Pacific	(27.95,28.05]	0.9891988	0.9889497	0.9894914
aou + nitrate	Indo-Pacific	(28.05,28.1]	0.9895305	0.9892821	0.9899694
aou + nitrate	Indo-Pacific	(28.1, Inf]	0.9908201	0.9903375	0.9910656
aou + phosphate	Atlantic	(-Inf,26]	0.9267502	0.9183231	0.9360393
aou + phosphate	Atlantic	(26,26.5]	0.8980471	0.8921435	0.9022852
aou + phosphate	Atlantic	(26.5,26.75]	0.9517839	0.9482343	0.9549034
aou + phosphate	Atlantic	(26.75,27]	0.9643492	0.9607179	0.9665551
aou + phosphate	Atlantic	(27,27.25]	0.9235228	0.9205602	0.9252468
aou + phosphate	Atlantic	(27.25,27.5]	0.7839637	0.7735986	0.7906549
aou + phosphate	Atlantic	(27.5,27.75]	0.5302855	0.5164346	0.5491708
aou + phosphate	Atlantic	(27.75,27.85]	0.3297598	0.3141908	0.3577263
aou + phosphate	Atlantic	(27.85,27.95]	0.5431475	0.4802550	0.6302739
aou + phosphate	Atlantic	(27.95,28.05]	0.3513313	0.2877327	0.4066050
aou + phosphate	Atlantic	(28.05,28.1]	0.6042822	0.5549973	0.6505569
aou + phosphate	Atlantic	(28.1,28.15]	0.8852382	0.8618020	0.9071343
aou + phosphate	Atlantic	(28.15,28.2]	0.9423693	0.9327787	0.9499548
aou + phosphate	Atlantic	(28.2, Inf]	0.9273743	0.9255227	0.9285211
aou + phosphate	Indo-Pacific	(-Inf,26]	0.9676229	0.9666703	0.9690131
aou + phosphate	Indo-Pacific	(26,26.5]	0.9601423	0.9595744	0.9612681
aou + phosphate	Indo-Pacific	(26.5,26.75]	0.9735442	0.9731313	0.9740569
aou + phosphate	Indo-Pacific	(26.75,27]	0.9753995	0.9752208	0.9755282
aou + phosphate	Indo-Pacific	(27,27.25]	0.9854322	0.9849541	0.9857132
aou + phosphate	Indo-Pacific	(27.25,27.5]	0.9862511	0.9856167	0.9866325
aou + phosphate	Indo-Pacific	(27.5,27.75]	0.9889303	0.9888654	0.9889788
aou + phosphate	Indo-Pacific	(27.75,27.85]	0.9945550	0.9943260	0.9946959
aou + phosphate	Indo-Pacific	(27.85,27.95]	0.9950527	0.9947602	0.9954603
aou + phosphate	Indo-Pacific	(27.95,28.05]	0.9909315	0.9906573	0.9912753
aou + phosphate	Indo-Pacific	(28.05,28.1]	0.9926621	0.9923894	0.9930742
aou + phosphate	Indo-Pacific	(28.1, Inf]	0.9915813	0.9907348	0.9921431
aou + phosphate_star	Atlantic	(-Inf,26]	0.2408016	0.1749855	0.3064325
aou + phosphate_star	Atlantic	(26,26.5]	0.4034288	0.3859148	0.4164405
aou + phosphate_star	Atlantic	(26.5,26.75]	0.1764646	0.1668858	0.1875267
aou + phosphate_star	Atlantic	(26.75,27]	-0.1172757	-0.1312238	-0.1013057
aou + phosphate_star	Atlantic	(27,27.25]	-0.0392042	-0.0711387	-0.0221748
aou + phosphate_star	Atlantic	(27.25,27.5]	-0.1427282	-0.1650210	-0.1161126
aou + phosphate_star	Atlantic	(27.5,27.75]	-0.3208368	-0.3414472	-0.2990317
aou + phosphate_star	Atlantic	(27.75,27.85]	-0.3390948	-0.3715590	-0.2866838
aou + phosphate_star	Atlantic	(27.85,27.95]	0.1803710	0.0855894	0.3096474
aou + phosphate_star	Atlantic	(27.95,28.05]	-0.0387439	-0.1116288	0.0222762
aou + phosphate_star	Atlantic	(28.05,28.1]	0.3174981	0.2450116	0.3831729
aou + phosphate_star	Atlantic	(28.1,28.15]	0.7502844	0.7079483	0.7895069
aou + phosphate_star	Atlantic	(28.15,28.2]	0.8481826	0.8293632	0.8623424
aou + phosphate_star	Atlantic	(28.2, Inf]	0.8199327	0.8150502	0.8271214
aou + phosphate_star	Indo-Pacific	(-Inf,26]	0.5947530	0.5827035	0.6099132
aou + phosphate_star	Indo-Pacific	(26,26.5]	0.4251960	0.4207188	0.4284576
aou + phosphate_star	Indo-Pacific	(26.5,26.75]	0.4863383	0.4807054	0.4902390
aou + phosphate_star	Indo-Pacific	(26.75,27]	0.6174113	0.6074215	0.6267384
aou + phosphate_star	Indo-Pacific	(27,27.25]	0.6944923	0.6806059	0.7090837
aou + phosphate_star	Indo-Pacific	(27.25,27.5]	0.3442690	0.2841985	0.3961293
aou + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.2943440	-0.3437587	-0.2551735
aou + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.5777613	-0.5855997	-0.5688865
aou + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.3705680	-0.3874111	-0.3553959
aou + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.3776477	-0.4020534	-0.3525001
aou + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.2644419	-0.3287660	-0.2176288
aou + phosphate_star	Indo-Pacific	(28.1, Inf]	0.1520994	0.1358054	0.1671133
aou + silicate	Atlantic	(-Inf,26]	0.1165857	0.0670840	0.1851177
aou + silicate	Atlantic	(26,26.5]	0.2782308	0.2283391	0.3034847
aou + silicate	Atlantic	(26.5,26.75]	0.6176331	0.5937229	0.6460828
aou + silicate	Atlantic	(26.75,27]	0.8012477	0.7939106	0.8134417
aou + silicate	Atlantic	(27,27.25]	0.7412886	0.7314706	0.7507006
aou + silicate	Atlantic	(27.25,27.5]	0.5297669	0.5274522	0.5314511
aou + silicate	Atlantic	(27.5,27.75]	0.2190368	0.2128142	0.2225012
aou + silicate	Atlantic	(27.75,27.85]	-0.0538309	-0.0704115	-0.0314627
aou + silicate	Atlantic	(27.85,27.95]	0.2868520	0.2082774	0.3890505
aou + silicate	Atlantic	(27.95,28.05]	0.2987723	0.2311633	0.3533043
aou + silicate	Atlantic	(28.05,28.1]	0.6325394	0.5954136	0.6686284
aou + silicate	Atlantic	(28.1,28.15]	0.9142086	0.8967269	0.9301976
aou + silicate	Atlantic	(28.15,28.2]	0.9448916	0.9399077	0.9474607
aou + silicate	Atlantic	(28.2, Inf]	0.7324437	0.7182154	0.7501706
aou + silicate	Indo-Pacific	(-Inf,26]	0.8370698	0.8335197	0.8401120
aou + silicate	Indo-Pacific	(26,26.5]	0.7717094	0.7694505	0.7746993
aou + silicate	Indo-Pacific	(26.5,26.75]	0.7844517	0.7821088	0.7884891
aou + silicate	Indo-Pacific	(26.75,27]	0.8749464	0.8716541	0.8781285
aou + silicate	Indo-Pacific	(27,27.25]	0.9403434	0.9391478	0.9412114
aou + silicate	Indo-Pacific	(27.25,27.5]	0.9545051	0.9535062	0.9557547
aou + silicate	Indo-Pacific	(27.5,27.75]	0.9651634	0.9648291	0.9655946
aou + silicate	Indo-Pacific	(27.75,27.85]	0.9829952	0.9825390	0.9834932
aou + silicate	Indo-Pacific	(27.85,27.95]	0.9822441	0.9819319	0.9825148
aou + silicate	Indo-Pacific	(27.95,28.05]	0.9875297	0.9870258	0.9879016
aou + silicate	Indo-Pacific	(28.05,28.1]	0.9908972	0.9904758	0.9913653
aou + silicate	Indo-Pacific	(28.1, Inf]	0.8244377	0.8232855	0.8266578
nitrate + phosphate	Atlantic	(-Inf,26]	0.6793124	0.6498256	0.7343708
nitrate + phosphate	Atlantic	(26,26.5]	0.8348739	0.8273540	0.8491050
nitrate + phosphate	Atlantic	(26.5,26.75]	0.9679383	0.9665285	0.9687178
nitrate + phosphate	Atlantic	(26.75,27]	0.9800796	0.9785269	0.9809867
nitrate + phosphate	Atlantic	(27,27.25]	0.9866164	0.9862135	0.9870882
nitrate + phosphate	Atlantic	(27.25,27.5]	0.9917371	0.9915790	0.9918495
nitrate + phosphate	Atlantic	(27.5,27.75]	0.9944207	0.9941890	0.9945675
nitrate + phosphate	Atlantic	(27.75,27.85]	0.9965420	0.9964952	0.9966151
nitrate + phosphate	Atlantic	(27.85,27.95]	0.9986697	0.9985931	0.9987696
nitrate + phosphate	Atlantic	(27.95,28.05]	0.9993736	0.9992822	0.9994435
nitrate + phosphate	Atlantic	(28.05,28.1]	0.9997905	0.9997734	0.9998054
nitrate + phosphate	Atlantic	(28.1,28.15]	0.9998164	0.9998128	0.9998183
nitrate + phosphate	Atlantic	(28.15,28.2]	0.9977375	0.9975685	0.9978796
nitrate + phosphate	Atlantic	(28.2, Inf]	0.9896892	0.9887827	0.9901870
nitrate + phosphate	Indo-Pacific	(-Inf,26]	0.9550125	0.9514363	0.9618805
nitrate + phosphate	Indo-Pacific	(26,26.5]	0.8645145	0.8609664	0.8700365
nitrate + phosphate	Indo-Pacific	(26.5,26.75]	0.7951524	0.7872229	0.8028482
nitrate + phosphate	Indo-Pacific	(26.75,27]	0.8617802	0.8563446	0.8720389
nitrate + phosphate	Indo-Pacific	(27,27.25]	0.9348288	0.9294970	0.9387713
nitrate + phosphate	Indo-Pacific	(27.25,27.5]	0.9542972	0.9529722	0.9551807
nitrate + phosphate	Indo-Pacific	(27.5,27.75]	0.9787107	0.9780657	0.9796316
nitrate + phosphate	Indo-Pacific	(27.75,27.85]	0.9946499	0.9946196	0.9947017
nitrate + phosphate	Indo-Pacific	(27.85,27.95]	0.9966495	0.9963185	0.9971000
nitrate + phosphate	Indo-Pacific	(27.95,28.05]	0.9987693	0.9986952	0.9988785
nitrate + phosphate	Indo-Pacific	(28.05,28.1]	0.9981142	0.9979838	0.9982402
nitrate + phosphate	Indo-Pacific	(28.1, Inf]	0.9951119	0.9949472	0.9952465
nitrate + phosphate_star	Atlantic	(-Inf,26]	0.1290702	0.0467010	0.1720474
nitrate + phosphate_star	Atlantic	(26,26.5]	0.4066901	0.3685397	0.4422451
nitrate + phosphate_star	Atlantic	(26.5,26.75]	0.2923599	0.2827423	0.3051538
nitrate + phosphate_star	Atlantic	(26.75,27]	-0.0005087	-0.0084589	0.0081270
nitrate + phosphate_star	Atlantic	(27,27.25]	0.2076427	0.1686034	0.2328913
nitrate + phosphate_star	Atlantic	(27.25,27.5]	0.3942669	0.3829677	0.4098711
nitrate + phosphate_star	Atlantic	(27.5,27.75]	0.5468721	0.5404429	0.5513160
nitrate + phosphate_star	Atlantic	(27.75,27.85]	0.7233906	0.7084176	0.7418597
nitrate + phosphate_star	Atlantic	(27.85,27.95]	0.9043755	0.8945553	0.9164189
nitrate + phosphate_star	Atlantic	(27.95,28.05]	0.9117063	0.9088585	0.9136659
nitrate + phosphate_star	Atlantic	(28.05,28.1]	0.9436007	0.9391530	0.9470064
nitrate + phosphate_star	Atlantic	(28.1,28.15]	0.9705557	0.9672886	0.9733639
nitrate + phosphate_star	Atlantic	(28.15,28.2]	0.9778367	0.9763833	0.9787493
nitrate + phosphate_star	Atlantic	(28.2, Inf]	0.9693036	0.9683607	0.9698146
nitrate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7323972	0.7272079	0.7393227
nitrate + phosphate_star	Indo-Pacific	(26,26.5]	0.5562224	0.5540917	0.5578563
nitrate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.5722968	0.5648374	0.5781512
nitrate + phosphate_star	Indo-Pacific	(26.75,27]	0.7022293	0.6902489	0.7154489
nitrate + phosphate_star	Indo-Pacific	(27,27.25]	0.7738556	0.7610313	0.7844617
nitrate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.4550071	0.4028374	0.4983090
nitrate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.1612618	-0.2148242	-0.1201868
nitrate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.5041269	-0.5127090	-0.4981410
nitrate + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.2625560	-0.2773341	-0.2510819
nitrate + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.2446875	-0.2695249	-0.2166399
nitrate + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.1307243	-0.1948349	-0.0812998
nitrate + phosphate_star	Indo-Pacific	(28.1, Inf]	0.2603469	0.2423655	0.2737092
nitrate + silicate	Atlantic	(-Inf,26]	0.6001484	0.5730006	0.6211419
nitrate + silicate	Atlantic	(26,26.5]	0.5633354	0.5361110	0.5842782
nitrate + silicate	Atlantic	(26.5,26.75]	0.6997750	0.6795385	0.7228492
nitrate + silicate	Atlantic	(26.75,27]	0.8569690	0.8502196	0.8649142
nitrate + silicate	Atlantic	(27,27.25]	0.8721498	0.8672034	0.8781794
nitrate + silicate	Atlantic	(27.25,27.5]	0.8554962	0.8522878	0.8599711
nitrate + silicate	Atlantic	(27.5,27.75]	0.8604785	0.8581248	0.8626277
nitrate + silicate	Atlantic	(27.75,27.85]	0.8382572	0.8370211	0.8396025
nitrate + silicate	Atlantic	(27.85,27.95]	0.9146504	0.9096795	0.9210207
nitrate + silicate	Atlantic	(27.95,28.05]	0.9675356	0.9642792	0.9692790
nitrate + silicate	Atlantic	(28.05,28.1]	0.9834657	0.9825431	0.9843741
nitrate + silicate	Atlantic	(28.1,28.15]	0.9859964	0.9856419	0.9866382
nitrate + silicate	Atlantic	(28.15,28.2]	0.9147658	0.9126378	0.9181884
nitrate + silicate	Atlantic	(28.2, Inf]	0.7042748	0.6978659	0.7087977
nitrate + silicate	Indo-Pacific	(-Inf,26]	0.8584049	0.8555436	0.8626310
nitrate + silicate	Indo-Pacific	(26,26.5]	0.7839069	0.7757858	0.7938831
nitrate + silicate	Indo-Pacific	(26.5,26.75]	0.8215720	0.8178575	0.8258082
nitrate + silicate	Indo-Pacific	(26.75,27]	0.8736364	0.8707550	0.8790524
nitrate + silicate	Indo-Pacific	(27,27.25]	0.9381408	0.9341991	0.9407159
nitrate + silicate	Indo-Pacific	(27.25,27.5]	0.9597789	0.9593529	0.9602706
nitrate + silicate	Indo-Pacific	(27.5,27.75]	0.9791693	0.9790676	0.9793492
nitrate + silicate	Indo-Pacific	(27.75,27.85]	0.9897188	0.9893708	0.9899826
nitrate + silicate	Indo-Pacific	(27.85,27.95]	0.9893354	0.9890116	0.9895207
nitrate + silicate	Indo-Pacific	(27.95,28.05]	0.9915709	0.9912094	0.9921175
nitrate + silicate	Indo-Pacific	(28.05,28.1]	0.9900435	0.9898677	0.9903036
nitrate + silicate	Indo-Pacific	(28.1, Inf]	0.8348563	0.8325346	0.8360992
phosphate + phosphate_star	Atlantic	(-Inf,26]	0.5316077	0.4773991	0.5983881
phosphate + phosphate_star	Atlantic	(26,26.5]	0.7529115	0.7373812	0.7656030
phosphate + phosphate_star	Atlantic	(26.5,26.75]	0.4651920	0.4480044	0.4738300
phosphate + phosphate_star	Atlantic	(26.75,27]	0.1443547	0.1373047	0.1508191
phosphate + phosphate_star	Atlantic	(27,27.25]	0.3422006	0.3080983	0.3630362
phosphate + phosphate_star	Atlantic	(27.25,27.5]	0.4977314	0.4882994	0.5116171
phosphate + phosphate_star	Atlantic	(27.5,27.75]	0.6237313	0.6191816	0.6276323
phosphate + phosphate_star	Atlantic	(27.75,27.85]	0.7742188	0.7607435	0.7904116
phosphate + phosphate_star	Atlantic	(27.85,27.95]	0.9219467	0.9137799	0.9322423
phosphate + phosphate_star	Atlantic	(27.95,28.05]	0.9204177	0.9183339	0.9217274
phosphate + phosphate_star	Atlantic	(28.05,28.1]	0.9463882	0.9416551	0.9499404
phosphate + phosphate_star	Atlantic	(28.1,28.15]	0.9710117	0.9677293	0.9738702
phosphate + phosphate_star	Atlantic	(28.15,28.2]	0.9758376	0.9741090	0.9767395
phosphate + phosphate_star	Atlantic	(28.2, Inf]	0.9717184	0.9705846	0.9733982
phosphate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7632912	0.7560076	0.7719889
phosphate + phosphate_star	Indo-Pacific	(26,26.5]	0.6559094	0.6537424	0.6599614
phosphate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.6663555	0.6635896	0.6683562
phosphate + phosphate_star	Indo-Pacific	(26.75,27]	0.7632020	0.7551499	0.7692642
phosphate + phosphate_star	Indo-Pacific	(27,27.25]	0.8017724	0.7921443	0.8125801
phosphate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.4913053	0.4381995	0.5377217
phosphate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.1518977	-0.2030394	-0.1120232
phosphate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.4923277	-0.5020322	-0.4837192
phosphate + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.2800995	-0.2944477	-0.2683078
phosphate + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.2533311	-0.2766988	-0.2266140
phosphate + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.1493295	-0.2132143	-0.1002789
phosphate + phosphate_star	Indo-Pacific	(28.1, Inf]	0.2738318	0.2536073	0.2863965
sal + aou	Atlantic	(-Inf,26]	-0.4069179	-0.4479962	-0.3723715
sal + aou	Atlantic	(26,26.5]	-0.3750530	-0.3936007	-0.3594228
sal + aou	Atlantic	(26.5,26.75]	0.2562221	0.2481606	0.2681394
sal + aou	Atlantic	(26.75,27]	0.4572129	0.4416398	0.4716967
sal + aou	Atlantic	(27,27.25]	0.3673230	0.3422294	0.4001318
sal + aou	Atlantic	(27.25,27.5]	0.3861840	0.3792736	0.3953034
sal + aou	Atlantic	(27.5,27.75]	0.6724361	0.6593634	0.6867263
sal + aou	Atlantic	(27.75,27.85]	0.6577170	0.6004241	0.6882686
sal + aou	Atlantic	(27.85,27.95]	0.1993931	0.0949320	0.3006061
sal + aou	Atlantic	(27.95,28.05]	0.0484706	-0.0159475	0.1167273
sal + aou	Atlantic	(28.05,28.1]	-0.3159604	-0.3755522	-0.2552407
sal + aou	Atlantic	(28.1,28.15]	-0.7417278	-0.7775268	-0.7007348
sal + aou	Atlantic	(28.15,28.2]	-0.8022696	-0.8146409	-0.7852580
sal + aou	Atlantic	(28.2, Inf]	-0.6728386	-0.6858017	-0.6560159
sal + aou	Indo-Pacific	(-Inf,26]	-0.2348166	-0.2439878	-0.2302178
sal + aou	Indo-Pacific	(26,26.5]	-0.1600195	-0.1642130	-0.1530773
sal + aou	Indo-Pacific	(26.5,26.75]	-0.1974052	-0.1998784	-0.1940581
sal + aou	Indo-Pacific	(26.75,27]	-0.4112846	-0.4237468	-0.4022867
sal + aou	Indo-Pacific	(27,27.25]	-0.5970491	-0.6112267	-0.5831039
sal + aou	Indo-Pacific	(27.25,27.5]	-0.2688345	-0.3271260	-0.2158933
sal + aou	Indo-Pacific	(27.5,27.75]	0.4942160	0.4571853	0.5409235
sal + aou	Indo-Pacific	(27.75,27.85]	0.7643546	0.7556889	0.7727345
sal + aou	Indo-Pacific	(27.85,27.95]	0.7610499	0.7568104	0.7639062
sal + aou	Indo-Pacific	(27.95,28.05]	0.8402286	0.8306981	0.8488473
sal + aou	Indo-Pacific	(28.05,28.1]	0.8465945	0.8336037	0.8561477
sal + aou	Indo-Pacific	(28.1, Inf]	0.3271261	0.3139860	0.3387578
sal + nitrate	Atlantic	(-Inf,26]	-0.6809872	-0.6890314	-0.6662692
sal + nitrate	Atlantic	(26,26.5]	-0.4152727	-0.4329945	-0.4012893
sal + nitrate	Atlantic	(26.5,26.75]	0.1840468	0.1777521	0.1931198
sal + nitrate	Atlantic	(26.75,27]	0.3969190	0.3910865	0.4045077
sal + nitrate	Atlantic	(27,27.25]	0.2022046	0.1663933	0.2409801
sal + nitrate	Atlantic	(27.25,27.5]	-0.0555565	-0.0882787	-0.0297039
sal + nitrate	Atlantic	(27.5,27.75]	0.1939312	0.1693207	0.2313731
sal + nitrate	Atlantic	(27.75,27.85]	-0.3459728	-0.3948428	-0.3213578
sal + nitrate	Atlantic	(27.85,27.95]	-0.6150358	-0.6364579	-0.6014542
sal + nitrate	Atlantic	(27.95,28.05]	-0.8388409	-0.8499258	-0.8299390
sal + nitrate	Atlantic	(28.05,28.1]	-0.9182985	-0.9230507	-0.9129713
sal + nitrate	Atlantic	(28.1,28.15]	-0.9563875	-0.9584113	-0.9525318
sal + nitrate	Atlantic	(28.15,28.2]	-0.9500740	-0.9573639	-0.9447738
sal + nitrate	Atlantic	(28.2, Inf]	-0.8492384	-0.8548443	-0.8454510
sal + nitrate	Indo-Pacific	(-Inf,26]	-0.3646014	-0.3712164	-0.3604077
sal + nitrate	Indo-Pacific	(26,26.5]	-0.3931987	-0.3951919	-0.3916981
sal + nitrate	Indo-Pacific	(26.5,26.75]	-0.4339166	-0.4451929	-0.4280287
sal + nitrate	Indo-Pacific	(26.75,27]	-0.5668410	-0.5849351	-0.5518748
sal + nitrate	Indo-Pacific	(27,27.25]	-0.7270926	-0.7310877	-0.7198975
sal + nitrate	Indo-Pacific	(27.25,27.5]	-0.3991864	-0.4508404	-0.3494002
sal + nitrate	Indo-Pacific	(27.5,27.75]	0.3925784	0.3599233	0.4399083
sal + nitrate	Indo-Pacific	(27.75,27.85]	0.7171500	0.6981656	0.7332515
sal + nitrate	Indo-Pacific	(27.85,27.95]	0.7088266	0.7060986	0.7120198
sal + nitrate	Indo-Pacific	(27.95,28.05]	0.7772595	0.7649845	0.7872043
sal + nitrate	Indo-Pacific	(28.05,28.1]	0.7776381	0.7610016	0.7897762
sal + nitrate	Indo-Pacific	(28.1, Inf]	0.2802153	0.2675550	0.2917603
sal + phosphate	Atlantic	(-Inf,26]	-0.2862239	-0.3625113	-0.2235553
sal + phosphate	Atlantic	(26,26.5]	-0.6280801	-0.6374316	-0.6149208
sal + phosphate	Atlantic	(26.5,26.75]	0.0097125	-0.0072925	0.0240897
sal + phosphate	Atlantic	(26.75,27]	0.2803648	0.2743790	0.2901054
sal + phosphate	Atlantic	(27,27.25]	0.0669408	0.0316121	0.1061575
sal + phosphate	Atlantic	(27.25,27.5]	-0.1691964	-0.2020216	-0.1431174
sal + phosphate	Atlantic	(27.5,27.75]	0.0973625	0.0737098	0.1331875
sal + phosphate	Atlantic	(27.75,27.85]	-0.4165694	-0.4628128	-0.3934349
sal + phosphate	Atlantic	(27.85,27.95]	-0.6467511	-0.6680677	-0.6298696
sal + phosphate	Atlantic	(27.95,28.05]	-0.8502524	-0.8603363	-0.8407606
sal + phosphate	Atlantic	(28.05,28.1]	-0.9227508	-0.9276394	-0.9177542
sal + phosphate	Atlantic	(28.1,28.15]	-0.9567791	-0.9587665	-0.9529209
sal + phosphate	Atlantic	(28.15,28.2]	-0.9339100	-0.9428698	-0.9278809
sal + phosphate	Atlantic	(28.2, Inf]	-0.7791119	-0.7869323	-0.7731782
sal + phosphate	Indo-Pacific	(-Inf,26]	-0.3513902	-0.3574756	-0.3453982
sal + phosphate	Indo-Pacific	(26,26.5]	-0.3737528	-0.3799816	-0.3637692
sal + phosphate	Indo-Pacific	(26.5,26.75]	-0.3674104	-0.3759124	-0.3591281
sal + phosphate	Indo-Pacific	(26.75,27]	-0.5149757	-0.5335817	-0.5038476
sal + phosphate	Indo-Pacific	(27,27.25]	-0.6799661	-0.6872203	-0.6697647
sal + phosphate	Indo-Pacific	(27.25,27.5]	-0.3726822	-0.4294836	-0.3185057
sal + phosphate	Indo-Pacific	(27.5,27.75]	0.3947392	0.3588358	0.4422374
sal + phosphate	Indo-Pacific	(27.75,27.85]	0.7104599	0.6967781	0.7235182
sal + phosphate	Indo-Pacific	(27.85,27.95]	0.7172594	0.7142777	0.7217186
sal + phosphate	Indo-Pacific	(27.95,28.05]	0.7939868	0.7833740	0.8025936
sal + phosphate	Indo-Pacific	(28.05,28.1]	0.8043636	0.7894283	0.8154923
sal + phosphate	Indo-Pacific	(28.1, Inf]	0.3457381	0.3335256	0.3573220
sal + phosphate_star	Atlantic	(-Inf,26]	-0.2321148	-0.2912630	-0.1204182
sal + phosphate_star	Atlantic	(26,26.5]	-0.8707186	-0.8883673	-0.8578866
sal + phosphate_star	Atlantic	(26.5,26.75]	-0.7910274	-0.8027440	-0.7757386
sal + phosphate_star	Atlantic	(26.75,27]	-0.7641690	-0.7876489	-0.7505069
sal + phosphate_star	Atlantic	(27,27.25]	-0.8009540	-0.8113728	-0.7932582
sal + phosphate_star	Atlantic	(27.25,27.5]	-0.8594590	-0.8836240	-0.8467189
sal + phosphate_star	Atlantic	(27.5,27.75]	-0.5915751	-0.6113807	-0.5652980
sal + phosphate_star	Atlantic	(27.75,27.85]	-0.8713273	-0.8830779	-0.8624745
sal + phosphate_star	Atlantic	(27.85,27.95]	-0.8663869	-0.8807353	-0.8430876
sal + phosphate_star	Atlantic	(27.95,28.05]	-0.9436404	-0.9495249	-0.9364364
sal + phosphate_star	Atlantic	(28.05,28.1]	-0.9796354	-0.9825233	-0.9757126
sal + phosphate_star	Atlantic	(28.1,28.15]	-0.9884180	-0.9891227	-0.9874308
sal + phosphate_star	Atlantic	(28.15,28.2]	-0.9709220	-0.9764313	-0.9658238
sal + phosphate_star	Atlantic	(28.2, Inf]	-0.8351287	-0.8404134	-0.8288571
sal + phosphate_star	Indo-Pacific	(-Inf,26]	-0.7056151	-0.7127831	-0.6984180
sal + phosphate_star	Indo-Pacific	(26,26.5]	-0.8621934	-0.8690041	-0.8576073
sal + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.8728880	-0.8832908	-0.8642416
sal + phosphate_star	Indo-Pacific	(26.75,27]	-0.8406328	-0.8549887	-0.8269387
sal + phosphate_star	Indo-Pacific	(27,27.25]	-0.8990717	-0.9078325	-0.8921858
sal + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.8081286	-0.8215656	-0.7842766
sal + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.8084081	-0.8193572	-0.7956570
sal + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.8928082	-0.9083573	-0.8817601
sal + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.7427410	-0.7591363	-0.7330972
sal + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.6546483	-0.6644397	-0.6432398
sal + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.5915308	-0.6214966	-0.5700248
sal + phosphate_star	Indo-Pacific	(28.1, Inf]	0.0772496	0.0749918	0.0814688
sal + silicate	Atlantic	(-Inf,26]	-0.7664013	-0.7804567	-0.7518981
sal + silicate	Atlantic	(26,26.5]	0.1514565	0.1422565	0.1686690
sal + silicate	Atlantic	(26.5,26.75]	0.2925639	0.2771633	0.3021140
sal + silicate	Atlantic	(26.75,27]	0.1860178	0.1705827	0.2150245
sal + silicate	Atlantic	(27,27.25]	-0.1068797	-0.1489635	-0.0709970
sal + silicate	Atlantic	(27.25,27.5]	-0.3491261	-0.3769978	-0.3252793
sal + silicate	Atlantic	(27.5,27.75]	-0.1410979	-0.1737435	-0.1033913
sal + silicate	Atlantic	(27.75,27.85]	-0.6952716	-0.7309158	-0.6752774
sal + silicate	Atlantic	(27.85,27.95]	-0.8043909	-0.8300341	-0.7632099
sal + silicate	Atlantic	(27.95,28.05]	-0.8976019	-0.9041820	-0.8885716
sal + silicate	Atlantic	(28.05,28.1]	-0.9164766	-0.9238759	-0.9108807
sal + silicate	Atlantic	(28.1,28.15]	-0.9265464	-0.9315310	-0.9202762
sal + silicate	Atlantic	(28.15,28.2]	-0.7621489	-0.7804573	-0.7513030
sal + silicate	Atlantic	(28.2, Inf]	-0.2742336	-0.2846764	-0.2646341
sal + silicate	Indo-Pacific	(-Inf,26]	-0.5424748	-0.5481085	-0.5335267
sal + silicate	Indo-Pacific	(26,26.5]	-0.5823997	-0.5910750	-0.5748812
sal + silicate	Indo-Pacific	(26.5,26.75]	-0.6121438	-0.6225208	-0.6051388
sal + silicate	Indo-Pacific	(26.75,27]	-0.6616588	-0.6762814	-0.6495248
sal + silicate	Indo-Pacific	(27,27.25]	-0.7564099	-0.7635333	-0.7452513
sal + silicate	Indo-Pacific	(27.25,27.5]	-0.4754120	-0.5259685	-0.4230206
sal + silicate	Indo-Pacific	(27.5,27.75]	0.3276475	0.2893849	0.3790351
sal + silicate	Indo-Pacific	(27.75,27.85]	0.6852197	0.6691906	0.7011884
sal + silicate	Indo-Pacific	(27.85,27.95]	0.7086408	0.7031766	0.7152603
sal + silicate	Indo-Pacific	(27.95,28.05]	0.8055632	0.7925143	0.8153665
sal + silicate	Indo-Pacific	(28.05,28.1]	0.8223816	0.8087901	0.8323045
sal + silicate	Indo-Pacific	(28.1, Inf]	0.6690646	0.6546694	0.6828325
sal + temp	Atlantic	(-Inf,26]	0.6577100	0.6102511	0.7041206
sal + temp	Atlantic	(26,26.5]	0.9574533	0.9522856	0.9606400
sal + temp	Atlantic	(26.5,26.75]	0.9679683	0.9662775	0.9712073
sal + temp	Atlantic	(26.75,27]	0.9703940	0.9695610	0.9716689
sal + temp	Atlantic	(27,27.25]	0.9634429	0.9627460	0.9638967
sal + temp	Atlantic	(27.25,27.5]	0.9718927	0.9703971	0.9740076
sal + temp	Atlantic	(27.5,27.75]	0.9676788	0.9660751	0.9690589
sal + temp	Atlantic	(27.75,27.85]	0.9868167	0.9866815	0.9870521
sal + temp	Atlantic	(27.85,27.95]	0.9790163	0.9724453	0.9823104
sal + temp	Atlantic	(27.95,28.05]	0.9757578	0.9752669	0.9760882
sal + temp	Atlantic	(28.05,28.1]	0.9865282	0.9860285	0.9869171
sal + temp	Atlantic	(28.1,28.15]	0.9833496	0.9826916	0.9838294
sal + temp	Atlantic	(28.15,28.2]	0.9790655	0.9785858	0.9796249
sal + temp	Atlantic	(28.2, Inf]	0.9368372	0.9334609	0.9407334
sal + temp	Indo-Pacific	(-Inf,26]	0.8193234	0.8165499	0.8212675
sal + temp	Indo-Pacific	(26,26.5]	0.9533171	0.9510025	0.9547714
sal + temp	Indo-Pacific	(26.5,26.75]	0.9802245	0.9791721	0.9811028
sal + temp	Indo-Pacific	(26.75,27]	0.9789707	0.9781915	0.9795147
sal + temp	Indo-Pacific	(27,27.25]	0.9747014	0.9739441	0.9751348
sal + temp	Indo-Pacific	(27.25,27.5]	0.9219433	0.9208443	0.9236750
sal + temp	Indo-Pacific	(27.5,27.75]	0.8729165	0.8714067	0.8751015
sal + temp	Indo-Pacific	(27.75,27.85]	0.9709599	0.9688503	0.9728076
sal + temp	Indo-Pacific	(27.85,27.95]	0.9396292	0.9383064	0.9421443
sal + temp	Indo-Pacific	(27.95,28.05]	0.9452022	0.9444019	0.9456393
sal + temp	Indo-Pacific	(28.05,28.1]	0.9752542	0.9742850	0.9766650
sal + temp	Indo-Pacific	(28.1, Inf]	0.4321278	0.4177747	0.4396690
silicate + phosphate	Atlantic	(-Inf,26]	-0.1201918	-0.1871106	-0.0105709
silicate + phosphate	Atlantic	(26,26.5]	0.0420310	-0.0033214	0.0768436
silicate + phosphate	Atlantic	(26.5,26.75]	0.5692930	0.5267699	0.6094678
silicate + phosphate	Atlantic	(26.75,27]	0.8455725	0.8412138	0.8487616
silicate + phosphate	Atlantic	(27,27.25]	0.9033295	0.8980603	0.9084707
silicate + phosphate	Atlantic	(27.25,27.5]	0.8966794	0.8933809	0.8999448
silicate + phosphate	Atlantic	(27.5,27.75]	0.8973208	0.8954957	0.8987404
silicate + phosphate	Atlantic	(27.75,27.85]	0.8779557	0.8769928	0.8791596
silicate + phosphate	Atlantic	(27.85,27.95]	0.9333589	0.9293846	0.9383636
silicate + phosphate	Atlantic	(27.95,28.05]	0.9739638	0.9717384	0.9751022
silicate + phosphate	Atlantic	(28.05,28.1]	0.9861041	0.9854699	0.9867430
silicate + phosphate	Atlantic	(28.1,28.15]	0.9882685	0.9879417	0.9888777
silicate + phosphate	Atlantic	(28.15,28.2]	0.9368551	0.9355696	0.9390769
silicate + phosphate	Atlantic	(28.2, Inf]	0.7957707	0.7886409	0.8011447
silicate + phosphate	Indo-Pacific	(-Inf,26]	0.8853119	0.8821264	0.8871382
silicate + phosphate	Indo-Pacific	(26,26.5]	0.8774083	0.8746092	0.8803686
silicate + phosphate	Indo-Pacific	(26.5,26.75]	0.8647225	0.8619741	0.8666473
silicate + phosphate	Indo-Pacific	(26.75,27]	0.9206240	0.9194705	0.9224168
silicate + phosphate	Indo-Pacific	(27,27.25]	0.9574931	0.9565947	0.9581846
silicate + phosphate	Indo-Pacific	(27.25,27.5]	0.9718106	0.9710258	0.9727629
silicate + phosphate	Indo-Pacific	(27.5,27.75]	0.9806774	0.9803271	0.9810011
silicate + phosphate	Indo-Pacific	(27.75,27.85]	0.9882232	0.9875041	0.9888113
silicate + phosphate	Indo-Pacific	(27.85,27.95]	0.9875380	0.9869697	0.9882884
silicate + phosphate	Indo-Pacific	(27.95,28.05]	0.9936755	0.9933716	0.9941733
silicate + phosphate	Indo-Pacific	(28.05,28.1]	0.9942570	0.9940964	0.9944658
silicate + phosphate	Indo-Pacific	(28.1, Inf]	0.8639024	0.8617357	0.8650030
silicate + phosphate_star	Atlantic	(-Inf,26]	-0.1796221	-0.2796191	-0.0977977
silicate + phosphate_star	Atlantic	(26,26.5]	-0.2860993	-0.3097936	-0.2433535
silicate + phosphate_star	Atlantic	(26.5,26.75]	0.0353120	-0.0182257	0.0632222
silicate + phosphate_star	Atlantic	(26.75,27]	0.1902013	0.1628689	0.2118242
silicate + phosphate_star	Atlantic	(27,27.25]	0.5352384	0.5012842	0.5640689
silicate + phosphate_star	Atlantic	(27.25,27.5]	0.6770535	0.6655986	0.6911380
silicate + phosphate_star	Atlantic	(27.5,27.75]	0.7962541	0.7868394	0.8087129
silicate + phosphate_star	Atlantic	(27.75,27.85]	0.9099321	0.8996131	0.9216170
silicate + phosphate_star	Atlantic	(27.85,27.95]	0.9640543	0.9597557	0.9703444
silicate + phosphate_star	Atlantic	(27.95,28.05]	0.9213871	0.9195399	0.9230980
silicate + phosphate_star	Atlantic	(28.05,28.1]	0.9214602	0.9122906	0.9281586
silicate + phosphate_star	Atlantic	(28.1,28.15]	0.9400062	0.9341096	0.9449413
silicate + phosphate_star	Atlantic	(28.15,28.2]	0.8662181	0.8614187	0.8711313
silicate + phosphate_star	Atlantic	(28.2, Inf]	0.7344863	0.7313678	0.7382491
silicate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7743219	0.7686199	0.7819106
silicate + phosphate_star	Indo-Pacific	(26,26.5]	0.7799444	0.7795876	0.7806553
silicate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.8000844	0.7954841	0.8063179
silicate + phosphate_star	Indo-Pacific	(26.75,27]	0.8217848	0.8150717	0.8255964
silicate + phosphate_star	Indo-Pacific	(27,27.25]	0.8163534	0.8005905	0.8304048
silicate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.5281710	0.4752020	0.5717951
silicate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.1018745	-0.1568491	-0.0584090
silicate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.4785427	-0.4871079	-0.4684741
silicate + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.2664051	-0.2769283	-0.2576822
silicate + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.2753791	-0.2983751	-0.2465911
silicate + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.1851356	-0.2451996	-0.1376983
silicate + phosphate_star	Indo-Pacific	(28.1, Inf]	0.4380010	0.4224366	0.4479556
temp + aou	Atlantic	(-Inf,26]	-0.6753261	-0.6971214	-0.6452403
temp + aou	Atlantic	(26,26.5]	-0.4242313	-0.4301063	-0.4138864
temp + aou	Atlantic	(26.5,26.75]	0.1393595	0.1284500	0.1555805
temp + aou	Atlantic	(26.75,27]	0.3919855	0.3736314	0.4119048
temp + aou	Atlantic	(27,27.25]	0.3385551	0.3181152	0.3671488
temp + aou	Atlantic	(27.25,27.5]	0.4152591	0.4055251	0.4245455
temp + aou	Atlantic	(27.5,27.75]	0.6659119	0.6587853	0.6787357
temp + aou	Atlantic	(27.75,27.85]	0.6711985	0.6190415	0.6974616
temp + aou	Atlantic	(27.85,27.95]	0.2114253	0.1018053	0.3046406
temp + aou	Atlantic	(27.95,28.05]	0.1709886	0.1087665	0.2445852
temp + aou	Atlantic	(28.05,28.1]	-0.2257305	-0.2876604	-0.1595152
temp + aou	Atlantic	(28.1,28.15]	-0.6588421	-0.7000376	-0.6121731
temp + aou	Atlantic	(28.15,28.2]	-0.7490688	-0.7592276	-0.7298068
temp + aou	Atlantic	(28.2, Inf]	-0.7386961	-0.7453979	-0.7292758
temp + aou	Indo-Pacific	(-Inf,26]	-0.3840648	-0.3886497	-0.3799623
temp + aou	Indo-Pacific	(26,26.5]	-0.2067477	-0.2092411	-0.2041251
temp + aou	Indo-Pacific	(26.5,26.75]	-0.1782305	-0.1796640	-0.1753745
temp + aou	Indo-Pacific	(26.75,27]	-0.3582817	-0.3674920	-0.3511584
temp + aou	Indo-Pacific	(27,27.25]	-0.5582103	-0.5689458	-0.5485797
temp + aou	Indo-Pacific	(27.25,27.5]	-0.2411357	-0.2890585	-0.1955830
temp + aou	Indo-Pacific	(27.5,27.75]	0.4123886	0.3818965	0.4535159
temp + aou	Indo-Pacific	(27.75,27.85]	0.7622556	0.7588278	0.7662483
temp + aou	Indo-Pacific	(27.85,27.95]	0.7386160	0.7375745	0.7394362
temp + aou	Indo-Pacific	(27.95,28.05]	0.7941942	0.7853924	0.8010427
temp + aou	Indo-Pacific	(28.05,28.1]	0.8299025	0.8162313	0.8439240
temp + aou	Indo-Pacific	(28.1, Inf]	0.7908064	0.7835319	0.7978617
temp + nitrate	Atlantic	(-Inf,26]	-0.7472970	-0.7609297	-0.7220306
temp + nitrate	Atlantic	(26,26.5]	-0.4619993	-0.4665482	-0.4538656
temp + nitrate	Atlantic	(26.5,26.75]	0.0610225	0.0529759	0.0743931
temp + nitrate	Atlantic	(26.75,27]	0.3141939	0.3073393	0.3181024
temp + nitrate	Atlantic	(27,27.25]	0.1657088	0.1341487	0.2004915
temp + nitrate	Atlantic	(27.25,27.5]	-0.0161134	-0.0471236	0.0124672
temp + nitrate	Atlantic	(27.5,27.75]	0.1748750	0.1579030	0.2062744
temp + nitrate	Atlantic	(27.75,27.85]	-0.3402692	-0.3817212	-0.3189228
temp + nitrate	Atlantic	(27.85,27.95]	-0.6274165	-0.6422685	-0.6135708
temp + nitrate	Atlantic	(27.95,28.05]	-0.8010848	-0.8066882	-0.7957386
temp + nitrate	Atlantic	(28.05,28.1]	-0.8786900	-0.8829364	-0.8763193
temp + nitrate	Atlantic	(28.1,28.15]	-0.9140507	-0.9169444	-0.9086822
temp + nitrate	Atlantic	(28.15,28.2]	-0.9217837	-0.9288759	-0.9162118
temp + nitrate	Atlantic	(28.2, Inf]	-0.9126046	-0.9195140	-0.9009858
temp + nitrate	Indo-Pacific	(-Inf,26]	-0.5311987	-0.5340926	-0.5276374
temp + nitrate	Indo-Pacific	(26,26.5]	-0.4439644	-0.4506796	-0.4390243
temp + nitrate	Indo-Pacific	(26.5,26.75]	-0.4211102	-0.4315192	-0.4144187
temp + nitrate	Indo-Pacific	(26.75,27]	-0.5286105	-0.5445613	-0.5152458
temp + nitrate	Indo-Pacific	(27,27.25]	-0.7053911	-0.7097714	-0.7018660
temp + nitrate	Indo-Pacific	(27.25,27.5]	-0.4037400	-0.4460309	-0.3603017
temp + nitrate	Indo-Pacific	(27.5,27.75]	0.2674832	0.2390622	0.3109504
temp + nitrate	Indo-Pacific	(27.75,27.85]	0.7107116	0.7035420	0.7206104
temp + nitrate	Indo-Pacific	(27.85,27.95]	0.6728619	0.6685687	0.6751714
temp + nitrate	Indo-Pacific	(27.95,28.05]	0.7175990	0.7059657	0.7251893
temp + nitrate	Indo-Pacific	(28.05,28.1]	0.7574257	0.7401510	0.7743339
temp + nitrate	Indo-Pacific	(28.1, Inf]	0.7222998	0.7115771	0.7319102
temp + phosphate	Atlantic	(-Inf,26]	-0.6910171	-0.7297714	-0.6550155
temp + phosphate	Atlantic	(26,26.5]	-0.6497282	-0.6598407	-0.6445783
temp + phosphate	Atlantic	(26.5,26.75]	-0.0971260	-0.1139526	-0.0802521
temp + phosphate	Atlantic	(26.75,27]	0.2068472	0.2031471	0.2113957
temp + phosphate	Atlantic	(27,27.25]	0.0456619	0.0145096	0.0815781
temp + phosphate	Atlantic	(27.25,27.5]	-0.1225329	-0.1541798	-0.0939133
temp + phosphate	Atlantic	(27.5,27.75]	0.0831912	0.0668231	0.1128644
temp + phosphate	Atlantic	(27.75,27.85]	-0.4097280	-0.4487169	-0.3896630
temp + phosphate	Atlantic	(27.85,27.95]	-0.6587433	-0.6723504	-0.6476151
temp + phosphate	Atlantic	(27.95,28.05]	-0.8140197	-0.8189065	-0.8104428
temp + phosphate	Atlantic	(28.05,28.1]	-0.8831150	-0.8876843	-0.8805297
temp + phosphate	Atlantic	(28.1,28.15]	-0.9150751	-0.9182209	-0.9096293
temp + phosphate	Atlantic	(28.15,28.2]	-0.9124885	-0.9208792	-0.9058975
temp + phosphate	Atlantic	(28.2, Inf]	-0.8782500	-0.8872136	-0.8685309
temp + phosphate	Indo-Pacific	(-Inf,26]	-0.5018814	-0.5046151	-0.4974591
temp + phosphate	Indo-Pacific	(26,26.5]	-0.4263416	-0.4268353	-0.4255255
temp + phosphate	Indo-Pacific	(26.5,26.75]	-0.3505931	-0.3581677	-0.3420504
temp + phosphate	Indo-Pacific	(26.75,27]	-0.4701299	-0.4861536	-0.4600290
temp + phosphate	Indo-Pacific	(27,27.25]	-0.6514602	-0.6550503	-0.6455743
temp + phosphate	Indo-Pacific	(27.25,27.5]	-0.3670642	-0.4143897	-0.3206705
temp + phosphate	Indo-Pacific	(27.5,27.75]	0.2920022	0.2627339	0.3339308
temp + phosphate	Indo-Pacific	(27.75,27.85]	0.7057903	0.7017179	0.7138799
temp + phosphate	Indo-Pacific	(27.85,27.95]	0.6855646	0.6816447	0.6883974
temp + phosphate	Indo-Pacific	(27.95,28.05]	0.7302071	0.7203265	0.7362391
temp + phosphate	Indo-Pacific	(28.05,28.1]	0.7791934	0.7633364	0.7953165
temp + phosphate	Indo-Pacific	(28.1, Inf]	0.7454998	0.7333663	0.7563196
temp + phosphate_star	Atlantic	(-Inf,26]	-0.6716346	-0.6977639	-0.6291922
temp + phosphate_star	Atlantic	(26,26.5]	-0.8599335	-0.8741373	-0.8490834
temp + phosphate_star	Atlantic	(26.5,26.75]	-0.8123705	-0.8247870	-0.8017678
temp + phosphate_star	Atlantic	(26.75,27]	-0.8031642	-0.8243821	-0.7877251
temp + phosphate_star	Atlantic	(27,27.25]	-0.7987173	-0.8106242	-0.7918349
temp + phosphate_star	Atlantic	(27.25,27.5]	-0.8352444	-0.8615981	-0.8192849
temp + phosphate_star	Atlantic	(27.5,27.75]	-0.6073860	-0.6219399	-0.5864090
temp + phosphate_star	Atlantic	(27.75,27.85]	-0.8746498	-0.8822781	-0.8672251
temp + phosphate_star	Atlantic	(27.85,27.95]	-0.8858804	-0.8901137	-0.8826628
temp + phosphate_star	Atlantic	(27.95,28.05]	-0.9550830	-0.9569153	-0.9525360
temp + phosphate_star	Atlantic	(28.05,28.1]	-0.9715519	-0.9727990	-0.9692228
temp + phosphate_star	Atlantic	(28.1,28.15]	-0.9751203	-0.9761189	-0.9744878
temp + phosphate_star	Atlantic	(28.15,28.2]	-0.9722803	-0.9779366	-0.9672889
temp + phosphate_star	Atlantic	(28.2, Inf]	-0.9376020	-0.9446080	-0.9257059
temp + phosphate_star	Indo-Pacific	(-Inf,26]	-0.8441218	-0.8488634	-0.8401306
temp + phosphate_star	Indo-Pacific	(26,26.5]	-0.9094285	-0.9119986	-0.9071871
temp + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.8771146	-0.8866593	-0.8671356
temp + phosphate_star	Indo-Pacific	(26.75,27]	-0.8410597	-0.8549907	-0.8266114
temp + phosphate_star	Indo-Pacific	(27,27.25]	-0.9157976	-0.9246305	-0.9057460
temp + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.9115446	-0.9228617	-0.8944563
temp + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.9382565	-0.9449259	-0.9288207
temp + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.9208430	-0.9286940	-0.9121692
temp + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.8340681	-0.8460430	-0.8270791
temp + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.7752180	-0.7855073	-0.7655203
temp + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.6604612	-0.6834042	-0.6413058
temp + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.3071978	-0.3189902	-0.2939442
temp + silicate	Atlantic	(-Inf,26]	-0.3587674	-0.3871581	-0.3133444
temp + silicate	Atlantic	(26,26.5]	0.1077418	0.0978751	0.1130249
temp + silicate	Atlantic	(26.5,26.75]	0.1909210	0.1724514	0.2055128
temp + silicate	Atlantic	(26.75,27]	0.0740861	0.0584305	0.1003353
temp + silicate	Atlantic	(27,27.25]	-0.1565702	-0.1929239	-0.1263496
temp + silicate	Atlantic	(27.25,27.5]	-0.3039030	-0.3315352	-0.2758741
temp + silicate	Atlantic	(27.5,27.75]	-0.1672730	-0.1890440	-0.1362728
temp + silicate	Atlantic	(27.75,27.85]	-0.6820622	-0.7132730	-0.6640323
temp + silicate	Atlantic	(27.85,27.95]	-0.8113729	-0.8229859	-0.7958905
temp + silicate	Atlantic	(27.95,28.05]	-0.8584041	-0.8623570	-0.8548305
temp + silicate	Atlantic	(28.05,28.1]	-0.8712523	-0.8804848	-0.8605269
temp + silicate	Atlantic	(28.1,28.15]	-0.8793489	-0.8869456	-0.8705583
temp + silicate	Atlantic	(28.15,28.2]	-0.7520274	-0.7680689	-0.7409267
temp + silicate	Atlantic	(28.2, Inf]	-0.5102754	-0.5233802	-0.4999153
temp + silicate	Indo-Pacific	(-Inf,26]	-0.6053279	-0.6140159	-0.5971257
temp + silicate	Indo-Pacific	(26,26.5]	-0.6093894	-0.6153551	-0.6015012
temp + silicate	Indo-Pacific	(26.5,26.75]	-0.6035153	-0.6133982	-0.5952455
temp + silicate	Indo-Pacific	(26.75,27]	-0.6340960	-0.6469170	-0.6230517
temp + silicate	Indo-Pacific	(27,27.25]	-0.7411621	-0.7453295	-0.7332264
temp + silicate	Indo-Pacific	(27.25,27.5]	-0.4661269	-0.5081139	-0.4206542
temp + silicate	Indo-Pacific	(27.5,27.75]	0.2143003	0.1828788	0.2590455
temp + silicate	Indo-Pacific	(27.75,27.85]	0.6785201	0.6732763	0.6873495
temp + silicate	Indo-Pacific	(27.85,27.95]	0.6609288	0.6546982	0.6645386
temp + silicate	Indo-Pacific	(27.95,28.05]	0.7434766	0.7304073	0.7508741
temp + silicate	Indo-Pacific	(28.05,28.1]	0.7996036	0.7854054	0.8139124
temp + silicate	Indo-Pacific	(28.1, Inf]	0.5848756	0.5660064	0.5966594

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")

Past versions of correlation_predictors-1.png

Version	Author	Date
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]	0.2704404	0.2029208	0.3727536
aou	Atlantic	(26,26.5]	0.0181445	-0.0785563	0.1028148
aou	Atlantic	(26.5,26.75]	0.0232720	-0.1332982	0.2189339
aou	Atlantic	(26.75,27]	-0.0659573	-0.2641354	0.1759209
aou	Atlantic	(27,27.25]	-0.3741453	-0.5053259	-0.2063460
aou	Atlantic	(27.25,27.5]	-0.2834868	-0.3923079	-0.1362459
aou	Atlantic	(27.5,27.75]	-0.1458757	-0.1970577	-0.0966336
aou	Atlantic	(27.75,27.85]	-0.0499782	-0.0984148	-0.0121025
aou	Atlantic	(27.85,27.95]	-0.4923327	-0.5520531	-0.4621079
aou	Atlantic	(27.95,28.05]	-0.3139159	-0.3689034	-0.2633149
aou	Atlantic	(28.05,28.1]	-0.5811088	-0.5914597	-0.5706228
aou	Atlantic	(28.1,28.15]	-0.8733493	-0.8801121	-0.8649958
aou	Atlantic	(28.15,28.2]	-0.9227736	-0.9303603	-0.9174951
aou	Atlantic	(28.2, Inf]	-0.8676772	-0.8742667	-0.8595475
aou	Indo-Pacific	(-Inf,26]	-0.0845241	-0.2369019	0.0485964
aou	Indo-Pacific	(26,26.5]	-0.4458456	-0.5800404	-0.2638942
aou	Indo-Pacific	(26.5,26.75]	-0.7377088	-0.8105085	-0.6303491
aou	Indo-Pacific	(26.75,27]	-0.8141051	-0.8694147	-0.7391244
aou	Indo-Pacific	(27,27.25]	-0.8012198	-0.8711847	-0.7103396
aou	Indo-Pacific	(27.25,27.5]	-0.6741321	-0.8286463	-0.4432922
aou	Indo-Pacific	(27.5,27.75]	-0.2896526	-0.7169849	0.3133001
aou	Indo-Pacific	(27.75,27.85]	0.0154065	-0.5047287	0.6679183
aou	Indo-Pacific	(27.85,27.95]	0.2275358	-0.1859985	0.6756475
aou	Indo-Pacific	(27.95,28.05]	0.0947662	-0.2531912	0.5056192
aou	Indo-Pacific	(28.05,28.1]	0.2043607	-0.1128185	0.5495650
aou	Indo-Pacific	(28.1, Inf]	0.5245525	0.4399801	0.6045086
nitrate	Atlantic	(-Inf,26]	0.0095908	-0.1145135	0.1475489
nitrate	Atlantic	(26,26.5]	-0.1711709	-0.2804386	-0.0722348
nitrate	Atlantic	(26.5,26.75]	-0.1178939	-0.2792855	0.0883875
nitrate	Atlantic	(26.75,27]	-0.1810290	-0.3723681	0.0521788
nitrate	Atlantic	(27,27.25]	-0.5726279	-0.6765298	-0.4348922
nitrate	Atlantic	(27.25,27.5]	-0.7076909	-0.7741864	-0.6175593
nitrate	Atlantic	(27.5,27.75]	-0.8477928	-0.8746805	-0.8178162
nitrate	Atlantic	(27.75,27.85]	-0.9104604	-0.9234403	-0.8934878
nitrate	Atlantic	(27.85,27.95]	-0.9652120	-0.9703273	-0.9560045
nitrate	Atlantic	(27.95,28.05]	-0.9439583	-0.9455833	-0.9425480
nitrate	Atlantic	(28.05,28.1]	-0.9901320	-0.9915612	-0.9886287
nitrate	Atlantic	(28.1,28.15]	-0.9934422	-0.9944964	-0.9914168
nitrate	Atlantic	(28.15,28.2]	-0.9945425	-0.9973172	-0.9907166
nitrate	Atlantic	(28.2, Inf]	-0.9770442	-0.9801506	-0.9724557
nitrate	Indo-Pacific	(-Inf,26]	-0.1016137	-0.2484821	0.0321007
nitrate	Indo-Pacific	(26,26.5]	-0.4285924	-0.5533687	-0.2771491
nitrate	Indo-Pacific	(26.5,26.75]	-0.6516220	-0.7144799	-0.5586761
nitrate	Indo-Pacific	(26.75,27]	-0.7043745	-0.7428821	-0.6353569
nitrate	Indo-Pacific	(27,27.25]	-0.7534230	-0.8210624	-0.6700819
nitrate	Indo-Pacific	(27.25,27.5]	-0.6720839	-0.8139417	-0.4583919
nitrate	Indo-Pacific	(27.5,27.75]	-0.3153538	-0.7277288	0.2670270
nitrate	Indo-Pacific	(27.75,27.85]	0.0442855	-0.4699716	0.6780655
nitrate	Indo-Pacific	(27.85,27.95]	0.2819428	-0.1204106	0.7058078
nitrate	Indo-Pacific	(27.95,28.05]	0.1702147	-0.1621939	0.5594907
nitrate	Indo-Pacific	(28.05,28.1]	0.2836302	-0.0128005	0.6048314
nitrate	Indo-Pacific	(28.1, Inf]	0.5512201	0.4814472	0.6155932
phosphate	Atlantic	(-Inf,26]	0.3296878	0.2446378	0.4324765
phosphate	Atlantic	(26,26.5]	0.0413983	-0.0192254	0.0886197
phosphate	Atlantic	(26.5,26.75]	-0.1098421	-0.2509647	0.0807645
phosphate	Atlantic	(26.75,27]	-0.2121431	-0.3917126	-0.0031170
phosphate	Atlantic	(27,27.25]	-0.6174961	-0.7111505	-0.4918391
phosphate	Atlantic	(27.25,27.5]	-0.7543295	-0.8101962	-0.6791779
phosphate	Atlantic	(27.5,27.75]	-0.8724827	-0.8935128	-0.8483783
phosphate	Atlantic	(27.75,27.85]	-0.9332809	-0.9417641	-0.9207806
phosphate	Atlantic	(27.85,27.95]	-0.9672000	-0.9735805	-0.9562305
phosphate	Atlantic	(27.95,28.05]	-0.9463901	-0.9501588	-0.9437095
phosphate	Atlantic	(28.05,28.1]	-0.9900510	-0.9918420	-0.9882917
phosphate	Atlantic	(28.1,28.15]	-0.9933860	-0.9944060	-0.9914426
phosphate	Atlantic	(28.15,28.2]	-0.9931556	-0.9958650	-0.9910499
phosphate	Atlantic	(28.2, Inf]	-0.9835484	-0.9861104	-0.9819919
phosphate	Indo-Pacific	(-Inf,26]	-0.1299288	-0.2846849	0.0073516
phosphate	Indo-Pacific	(26,26.5]	-0.5700440	-0.6967606	-0.3985838
phosphate	Indo-Pacific	(26.5,26.75]	-0.8068385	-0.8681585	-0.7105009
phosphate	Indo-Pacific	(26.75,27]	-0.8489624	-0.8927695	-0.7870925
phosphate	Indo-Pacific	(27,27.25]	-0.8384168	-0.8961368	-0.7646556
phosphate	Indo-Pacific	(27.25,27.5]	-0.7271932	-0.8604420	-0.5248697
phosphate	Indo-Pacific	(27.5,27.75]	-0.3194078	-0.7246477	0.2562017
phosphate	Indo-Pacific	(27.75,27.85]	0.0528198	-0.4547157	0.6800385
phosphate	Indo-Pacific	(27.85,27.95]	0.2666694	-0.1331061	0.6948503
phosphate	Indo-Pacific	(27.95,28.05]	0.1598187	-0.1715451	0.5479612
phosphate	Indo-Pacific	(28.05,28.1]	0.2562313	-0.0411580	0.5785562
phosphate	Indo-Pacific	(28.1, Inf]	0.5054864	0.4292430	0.5754895
phosphate_star	Atlantic	(-Inf,26]	0.0548914	-0.0884803	0.1335635
phosphate_star	Atlantic	(26,26.5]	0.1172735	0.0940845	0.1290111
phosphate_star	Atlantic	(26.5,26.75]	-0.3202164	-0.3581125	-0.2937108
phosphate_star	Atlantic	(26.75,27]	-0.4437951	-0.5489695	-0.3817872
phosphate_star	Atlantic	(27,27.25]	-0.6149873	-0.6820128	-0.5379193
phosphate_star	Atlantic	(27.25,27.5]	-0.7575564	-0.8252249	-0.6937650
phosphate_star	Atlantic	(27.5,27.75]	-0.7923756	-0.8311501	-0.7509106
phosphate_star	Atlantic	(27.75,27.85]	-0.8823716	-0.9252756	-0.8398921
phosphate_star	Atlantic	(27.85,27.95]	-0.8965003	-0.9270801	-0.8599359
phosphate_star	Atlantic	(27.95,28.05]	-0.8679999	-0.8982382	-0.8450359
phosphate_star	Atlantic	(28.05,28.1]	-0.9390030	-0.9603876	-0.9161619
phosphate_star	Atlantic	(28.1,28.15]	-0.9641547	-0.9767456	-0.9497612
phosphate_star	Atlantic	(28.15,28.2]	-0.9760584	-0.9839746	-0.9655078
phosphate_star	Atlantic	(28.2, Inf]	-0.9795060	-0.9851572	-0.9718650
phosphate_star	Indo-Pacific	(-Inf,26]	-0.0033852	-0.1243921	0.1015262
phosphate_star	Indo-Pacific	(26,26.5]	-0.5583013	-0.6137363	-0.4915867
phosphate_star	Indo-Pacific	(26.5,26.75]	-0.6215326	-0.6569403	-0.5780931
phosphate_star	Indo-Pacific	(26.75,27]	-0.5741934	-0.5942024	-0.5435384
phosphate_star	Indo-Pacific	(27,27.25]	-0.6820300	-0.7074270	-0.6619716
phosphate_star	Indo-Pacific	(27.25,27.5]	-0.5372013	-0.5513550	-0.5281225
phosphate_star	Indo-Pacific	(27.5,27.75]	-0.1317191	-0.4246202	0.0782993
phosphate_star	Indo-Pacific	(27.75,27.85]	0.3343908	-0.2091417	0.7102854
phosphate_star	Indo-Pacific	(27.85,27.95]	0.3526555	0.0446412	0.6063070
phosphate_star	Indo-Pacific	(27.95,28.05]	0.5209055	0.2422695	0.7253676
phosphate_star	Indo-Pacific	(28.05,28.1]	0.4913997	0.2503272	0.6889204
phosphate_star	Indo-Pacific	(28.1, Inf]	0.0930018	0.0233089	0.1440405
sal	Atlantic	(-Inf,26]	0.5298165	0.3851302	0.6174168
sal	Atlantic	(26,26.5]	-0.1049529	-0.1165322	-0.0986233
sal	Atlantic	(26.5,26.75]	-0.0102875	-0.0772009	0.0777502
sal	Atlantic	(26.75,27]	-0.0293042	-0.1401247	0.1808949
sal	Atlantic	(27,27.25]	0.0697151	-0.0312888	0.1825765
sal	Atlantic	(27.25,27.5]	0.3489672	0.2420785	0.4897179
sal	Atlantic	(27.5,27.75]	-0.0069499	-0.1041620	0.0814487
sal	Atlantic	(27.75,27.85]	0.5514140	0.4723157	0.6493535
sal	Atlantic	(27.85,27.95]	0.5872946	0.5357188	0.6477012
sal	Atlantic	(27.95,28.05]	0.7359906	0.6919235	0.7839404
sal	Atlantic	(28.05,28.1]	0.8948744	0.8755737	0.9234004
sal	Atlantic	(28.1,28.15]	0.9378751	0.9198607	0.9517678
sal	Atlantic	(28.15,28.2]	0.9383697	0.9117990	0.9527333
sal	Atlantic	(28.2, Inf]	0.7727641	0.7439610	0.7927416
sal	Indo-Pacific	(-Inf,26]	-0.0592616	-0.1137541	0.0095953
sal	Indo-Pacific	(26,26.5]	0.3028684	0.2762824	0.3419177
sal	Indo-Pacific	(26.5,26.75]	0.3012015	0.2557407	0.3333440
sal	Indo-Pacific	(26.75,27]	0.2168745	0.1752040	0.2724733
sal	Indo-Pacific	(27,27.25]	0.4478499	0.4028983	0.4925923
sal	Indo-Pacific	(27.25,27.5]	0.2213383	0.1682336	0.2696591
sal	Indo-Pacific	(27.5,27.75]	-0.1536209	-0.3983676	0.2205147
sal	Indo-Pacific	(27.75,27.85]	-0.2760047	-0.7294150	0.3107687
sal	Indo-Pacific	(27.85,27.95]	-0.1076956	-0.5029489	0.3116381
sal	Indo-Pacific	(27.95,28.05]	-0.2760337	-0.5887248	0.1164981
sal	Indo-Pacific	(28.05,28.1]	-0.1970964	-0.4970750	0.1388378
sal	Indo-Pacific	(28.1, Inf]	0.0208895	-0.1137082	0.1574943
silicate	Atlantic	(-Inf,26]	-0.4876457	-0.6111841	-0.3539109
silicate	Atlantic	(26,26.5]	-0.4317826	-0.5168974	-0.3572984
silicate	Atlantic	(26.5,26.75]	-0.3304388	-0.4603099	-0.1645943
silicate	Atlantic	(26.75,27]	-0.4307317	-0.6131245	-0.2305504
silicate	Atlantic	(27,27.25]	-0.7755315	-0.8410058	-0.6830487
silicate	Atlantic	(27.25,27.5]	-0.8669242	-0.8980823	-0.8203382
silicate	Atlantic	(27.5,27.75]	-0.9072011	-0.9086858	-0.9056847
silicate	Atlantic	(27.75,27.85]	-0.9248339	-0.9364130	-0.9111660
silicate	Atlantic	(27.85,27.95]	-0.9016774	-0.9227689	-0.8729954
silicate	Atlantic	(27.95,28.05]	-0.9002377	-0.9123324	-0.8931193
silicate	Atlantic	(28.05,28.1]	-0.9685372	-0.9705942	-0.9670517
silicate	Atlantic	(28.1,28.15]	-0.9789231	-0.9812520	-0.9749480
silicate	Atlantic	(28.15,28.2]	-0.9154816	-0.9233084	-0.9020564
silicate	Atlantic	(28.2, Inf]	-0.7761046	-0.7963016	-0.7443615
silicate	Indo-Pacific	(-Inf,26]	-0.1118756	-0.2589759	0.0060733
silicate	Indo-Pacific	(26,26.5]	-0.6421472	-0.7428428	-0.5069954
silicate	Indo-Pacific	(26.5,26.75]	-0.7466627	-0.7973763	-0.6572571
silicate	Indo-Pacific	(26.75,27]	-0.7032996	-0.7508379	-0.6365417
silicate	Indo-Pacific	(27,27.25]	-0.7075717	-0.7776910	-0.6204924
silicate	Indo-Pacific	(27.25,27.5]	-0.6274069	-0.7705907	-0.4160029
silicate	Indo-Pacific	(27.5,27.75]	-0.2658703	-0.6751932	0.3059208
silicate	Indo-Pacific	(27.75,27.85]	0.0785539	-0.4301101	0.7030062
silicate	Indo-Pacific	(27.85,27.95]	0.2767494	-0.1244350	0.7076195
silicate	Indo-Pacific	(27.95,28.05]	0.1530211	-0.1868608	0.5537769
silicate	Indo-Pacific	(28.05,28.1]	0.2504700	-0.0539172	0.5803506
silicate	Indo-Pacific	(28.1, Inf]	0.4864907	0.3828554	0.5839611
temp	Atlantic	(-Inf,26]	-0.0122761	-0.1320866	0.0487016
temp	Atlantic	(26,26.5]	-0.2304004	-0.2433141	-0.2190977
temp	Atlantic	(26.5,26.75]	-0.0290598	-0.0832906	0.0335913
temp	Atlantic	(26.75,27]	0.0383021	-0.0794712	0.2226877
temp	Atlantic	(27,27.25]	0.0982470	0.0137328	0.1924178
temp	Atlantic	(27.25,27.5]	0.3061622	0.1972689	0.4435800
temp	Atlantic	(27.5,27.75]	0.0162912	-0.0695735	0.0918892
temp	Atlantic	(27.75,27.85]	0.5540992	0.4805414	0.6444074
temp	Atlantic	(27.85,27.95]	0.6063769	0.5492225	0.6577454
temp	Atlantic	(27.95,28.05]	0.7143538	0.6755055	0.7625566
temp	Atlantic	(28.05,28.1]	0.8539951	0.8265456	0.8863301
temp	Atlantic	(28.1,28.15]	0.8924848	0.8690778	0.9113753
temp	Atlantic	(28.15,28.2]	0.9106097	0.8817747	0.9251613
temp	Atlantic	(28.2, Inf]	0.8788584	0.8677881	0.8921360
temp	Indo-Pacific	(-Inf,26]	-0.3637038	-0.4361860	-0.2765845
temp	Indo-Pacific	(26,26.5]	0.2636813	0.2226682	0.3118170
temp	Indo-Pacific	(26.5,26.75]	0.2633673	0.2092832	0.3007472
temp	Indo-Pacific	(26.75,27]	0.1513359	0.1081918	0.2062554
temp	Indo-Pacific	(27,27.25]	0.4167129	0.3784577	0.4558421
temp	Indo-Pacific	(27.25,27.5]	0.3210810	0.3034961	0.3403319
temp	Indo-Pacific	(27.5,27.75]	0.0546977	-0.1736936	0.3795492
temp	Indo-Pacific	(27.75,27.85]	-0.2810693	-0.7288596	0.3143164
temp	Indo-Pacific	(27.85,27.95]	-0.1632212	-0.5428316	0.2524431
temp	Indo-Pacific	(27.95,28.05]	-0.3524826	-0.6608081	0.0386346
temp	Indo-Pacific	(28.05,28.1]	-0.2178884	-0.5222939	0.1352314
temp	Indo-Pacific	(28.1, Inf]	0.2097030	0.1025634	0.3208700

rm(cor_target_predictor, cor_target_predictor_stats)

Session information

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