eMLR - assumption testing

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Last updated: 2021-03-14

Checks: 7 0

Knit directory: emlr_mod_v_XXX/

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---

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

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

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

pair	basin	gamma_slab	mean_r	min_r	max_r
aou + phosphate	Atlantic	(-Inf,26]	0.9339167	0.8861831	0.9749979
aou + phosphate	Atlantic	(26,26.5]	0.8620931	0.8121392	0.8890332
aou + phosphate	Atlantic	(26.5,26.75]	0.9275513	0.8992581	0.9610896
aou + phosphate	Atlantic	(26.75,27]	0.9528420	0.9485651	0.9601405
aou + phosphate	Atlantic	(27,27.25]	0.9235494	0.9094766	0.9320651
aou + phosphate	Atlantic	(27.25,27.5]	0.8977810	0.8764722	0.9243688
aou + phosphate	Atlantic	(27.5,27.75]	0.8029909	0.7075948	0.9024948
aou + phosphate	Atlantic	(27.75,27.85]	0.6839125	0.5112823	0.8594668
aou + phosphate	Atlantic	(27.85,27.95]	0.6935655	0.5440488	0.8162237
aou + phosphate	Atlantic	(27.95,28.05]	0.8253596	0.7154879	0.8951299
aou + phosphate	Atlantic	(28.05,28.1]	0.9477907	0.9272359	0.9604414
aou + phosphate	Atlantic	(28.1,28.15]	0.9722641	0.9670035	0.9788538
aou + phosphate	Atlantic	(28.15,28.2]	0.9790655	0.9664194	0.9897902
aou + phosphate	Atlantic	(28.2, Inf]	0.9176469	0.8613758	0.9596938
aou + phosphate	Indo-Pacific	(-Inf,26]	0.9504373	0.9433381	0.9550804
aou + phosphate	Indo-Pacific	(26,26.5]	0.9570821	0.9528842	0.9611814
aou + phosphate	Indo-Pacific	(26.5,26.75]	0.9636544	0.9558169	0.9738426
aou + phosphate	Indo-Pacific	(26.75,27]	0.9631790	0.9460422	0.9752998
aou + phosphate	Indo-Pacific	(27,27.25]	0.9725663	0.9548140	0.9835769
aou + phosphate	Indo-Pacific	(27.25,27.5]	0.9792479	0.9737972	0.9860420
aou + phosphate	Indo-Pacific	(27.5,27.75]	0.9840011	0.9779085	0.9894279
aou + phosphate	Indo-Pacific	(27.75,27.85]	0.9921220	0.9895319	0.9937596
aou + phosphate	Indo-Pacific	(27.85,27.95]	0.9941779	0.9933025	0.9951298
aou + phosphate	Indo-Pacific	(27.95,28.05]	0.9959540	0.9952680	0.9970570
aou + phosphate	Indo-Pacific	(28.05,28.1]	0.9951091	0.9939650	0.9963544
aou + phosphate	Indo-Pacific	(28.1, Inf]	0.9882023	0.9823308	0.9932366
aou + phosphate_star	Atlantic	(-Inf,26]	0.2932995	0.0327941	0.4950508
aou + phosphate_star	Atlantic	(26,26.5]	0.3623216	0.2842431	0.4243318
aou + phosphate_star	Atlantic	(26.5,26.75]	0.3356861	0.0801234	0.8192456
aou + phosphate_star	Atlantic	(26.75,27]	0.0521599	-0.1451818	0.2961077
aou + phosphate_star	Atlantic	(27,27.25]	0.0603171	0.0258212	0.1052120
aou + phosphate_star	Atlantic	(27.25,27.5]	0.0512083	-0.0398323	0.1437708
aou + phosphate_star	Atlantic	(27.5,27.75]	0.2151797	0.0724091	0.4011929
aou + phosphate_star	Atlantic	(27.75,27.85]	0.2867370	0.0226523	0.6112583
aou + phosphate_star	Atlantic	(27.85,27.95]	0.3609226	0.1723034	0.5495582
aou + phosphate_star	Atlantic	(27.95,28.05]	0.6157414	0.4713467	0.7176197
aou + phosphate_star	Atlantic	(28.05,28.1]	0.8593043	0.8368624	0.8768759
aou + phosphate_star	Atlantic	(28.1,28.15]	0.9150204	0.9095608	0.9230080
aou + phosphate_star	Atlantic	(28.15,28.2]	0.9312552	0.8954013	0.9592144
aou + phosphate_star	Atlantic	(28.2, Inf]	0.8379454	0.7492252	0.8978529
aou + phosphate_star	Indo-Pacific	(-Inf,26]	0.5124921	0.4237458	0.5753585
aou + phosphate_star	Indo-Pacific	(26,26.5]	0.4483327	0.3430047	0.5181948
aou + phosphate_star	Indo-Pacific	(26.5,26.75]	0.4224676	0.3093288	0.6079076
aou + phosphate_star	Indo-Pacific	(26.75,27]	0.5986132	0.4832320	0.6839136
aou + phosphate_star	Indo-Pacific	(27,27.25]	0.6714604	0.6043182	0.7434879
aou + phosphate_star	Indo-Pacific	(27.25,27.5]	0.4712435	0.3442303	0.5492893
aou + phosphate_star	Indo-Pacific	(27.5,27.75]	0.0509995	-0.0553382	0.1109817
aou + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.2373491	-0.2420771	-0.2344243
aou + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.3135698	-0.4190566	-0.1510260
aou + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.3014347	-0.4820040	-0.1054336
aou + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.1806225	-0.3329776	-0.0328146
aou + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.4260229	-0.4926627	-0.3101030
aou + silicate	Atlantic	(-Inf,26]	0.1435423	-0.0955795	0.3705651
aou + silicate	Atlantic	(26,26.5]	0.3440613	0.2008893	0.5384695
aou + silicate	Atlantic	(26.5,26.75]	0.6207845	0.5665940	0.6958205
aou + silicate	Atlantic	(26.75,27]	0.7959353	0.7608808	0.8498971
aou + silicate	Atlantic	(27,27.25]	0.6327960	0.6138355	0.6447848
aou + silicate	Atlantic	(27.25,27.5]	0.6396356	0.5759453	0.6874746
aou + silicate	Atlantic	(27.5,27.75]	0.5497364	0.4235519	0.7291920
aou + silicate	Atlantic	(27.75,27.85]	0.4425381	0.2633242	0.6976282
aou + silicate	Atlantic	(27.85,27.95]	0.4822056	0.3593256	0.6650165
aou + silicate	Atlantic	(27.95,28.05]	0.6735165	0.6154608	0.7542232
aou + silicate	Atlantic	(28.05,28.1]	0.8889751	0.8783757	0.8961812
aou + silicate	Atlantic	(28.1,28.15]	0.9444410	0.9399094	0.9532958
aou + silicate	Atlantic	(28.15,28.2]	0.9481837	0.9374090	0.9653492
aou + silicate	Atlantic	(28.2, Inf]	0.6963430	0.5270609	0.8586750
aou + silicate	Indo-Pacific	(-Inf,26]	0.7997585	0.7453151	0.8687568
aou + silicate	Indo-Pacific	(26,26.5]	0.7903060	0.7598011	0.8083666
aou + silicate	Indo-Pacific	(26.5,26.75]	0.7741750	0.7476745	0.8238175
aou + silicate	Indo-Pacific	(26.75,27]	0.8570278	0.8367098	0.8946676
aou + silicate	Indo-Pacific	(27,27.25]	0.9095480	0.8889162	0.9399155
aou + silicate	Indo-Pacific	(27.25,27.5]	0.9295193	0.9072189	0.9561869
aou + silicate	Indo-Pacific	(27.5,27.75]	0.9433008	0.9325084	0.9629708
aou + silicate	Indo-Pacific	(27.75,27.85]	0.9658583	0.9595010	0.9760728
aou + silicate	Indo-Pacific	(27.85,27.95]	0.9748952	0.9674108	0.9803362
aou + silicate	Indo-Pacific	(27.95,28.05]	0.9825806	0.9746922	0.9868028
aou + silicate	Indo-Pacific	(28.05,28.1]	0.9903780	0.9863109	0.9935907
aou + silicate	Indo-Pacific	(28.1, Inf]	0.8655761	0.8339183	0.8847298
oxygen + aou	Atlantic	(-Inf,26]	-0.9210937	-0.9623276	-0.8848832
oxygen + aou	Atlantic	(26,26.5]	-0.9494298	-0.9605416	-0.9395133
oxygen + aou	Atlantic	(26.5,26.75]	-0.9833241	-0.9858666	-0.9791272
oxygen + aou	Atlantic	(26.75,27]	-0.9908345	-0.9921983	-0.9900523
oxygen + aou	Atlantic	(27,27.25]	-0.9922490	-0.9942281	-0.9893840
oxygen + aou	Atlantic	(27.25,27.5]	-0.9791656	-0.9848834	-0.9727601
oxygen + aou	Atlantic	(27.5,27.75]	-0.9725924	-0.9788016	-0.9654316
oxygen + aou	Atlantic	(27.75,27.85]	-0.9732661	-0.9789778	-0.9660461
oxygen + aou	Atlantic	(27.85,27.95]	-0.9505693	-0.9629555	-0.9324223
oxygen + aou	Atlantic	(27.95,28.05]	-0.9231549	-0.9501939	-0.8702502
oxygen + aou	Atlantic	(28.05,28.1]	-0.9462631	-0.9731442	-0.8948993
oxygen + aou	Atlantic	(28.1,28.15]	-0.9675558	-0.9799740	-0.9535419
oxygen + aou	Atlantic	(28.15,28.2]	-0.9808252	-0.9851716	-0.9738830
oxygen + aou	Atlantic	(28.2, Inf]	-0.9203864	-0.9701413	-0.8730366
oxygen + aou	Indo-Pacific	(-Inf,26]	-0.9449514	-0.9540969	-0.9290709
oxygen + aou	Indo-Pacific	(26,26.5]	-0.9712222	-0.9831385	-0.9571229
oxygen + aou	Indo-Pacific	(26.5,26.75]	-0.9810173	-0.9828121	-0.9791924
oxygen + aou	Indo-Pacific	(26.75,27]	-0.9725806	-0.9766859	-0.9655431
oxygen + aou	Indo-Pacific	(27,27.25]	-0.9842586	-0.9879462	-0.9811845
oxygen + aou	Indo-Pacific	(27.25,27.5]	-0.9940379	-0.9959699	-0.9925445
oxygen + aou	Indo-Pacific	(27.5,27.75]	-0.9963289	-0.9974095	-0.9954690
oxygen + aou	Indo-Pacific	(27.75,27.85]	-0.9977408	-0.9982895	-0.9973627
oxygen + aou	Indo-Pacific	(27.85,27.95]	-0.9981088	-0.9984285	-0.9979434
oxygen + aou	Indo-Pacific	(27.95,28.05]	-0.9987375	-0.9993156	-0.9980091
oxygen + aou	Indo-Pacific	(28.05,28.1]	-0.9988969	-0.9994166	-0.9981335
oxygen + aou	Indo-Pacific	(28.1, Inf]	-0.9985885	-0.9991125	-0.9976600
oxygen + phosphate	Atlantic	(-Inf,26]	-0.8663778	-0.9417279	-0.7412566
oxygen + phosphate	Atlantic	(26,26.5]	-0.7000443	-0.7743355	-0.5778366
oxygen + phosphate	Atlantic	(26.5,26.75]	-0.8611658	-0.8973623	-0.8276934
oxygen + phosphate	Atlantic	(26.75,27]	-0.9197327	-0.9359452	-0.9097534
oxygen + phosphate	Atlantic	(27,27.25]	-0.8831464	-0.8971905	-0.8620409
oxygen + phosphate	Atlantic	(27.25,27.5]	-0.8461260	-0.8813733	-0.8169513
oxygen + phosphate	Atlantic	(27.5,27.75]	-0.7299491	-0.8341974	-0.6171992
oxygen + phosphate	Atlantic	(27.75,27.85]	-0.5371340	-0.7531205	-0.3110316
oxygen + phosphate	Atlantic	(27.85,27.95]	-0.4629708	-0.6341291	-0.2290092
oxygen + phosphate	Atlantic	(27.95,28.05]	-0.5700218	-0.7278694	-0.2996453
oxygen + phosphate	Atlantic	(28.05,28.1]	-0.8036322	-0.8746763	-0.6713297
oxygen + phosphate	Atlantic	(28.1,28.15]	-0.8885758	-0.9106561	-0.8523893
oxygen + phosphate	Atlantic	(28.15,28.2]	-0.9312085	-0.9556937	-0.9180894
oxygen + phosphate	Atlantic	(28.2, Inf]	-0.7429524	-0.8849874	-0.5956059
oxygen + phosphate	Indo-Pacific	(-Inf,26]	-0.8299550	-0.8467802	-0.7973737
oxygen + phosphate	Indo-Pacific	(26,26.5]	-0.8797747	-0.9031572	-0.8384718
oxygen + phosphate	Indo-Pacific	(26.5,26.75]	-0.9170650	-0.9326106	-0.8993907
oxygen + phosphate	Indo-Pacific	(26.75,27]	-0.9205043	-0.9394573	-0.8980119
oxygen + phosphate	Indo-Pacific	(27,27.25]	-0.9493433	-0.9581388	-0.9325483
oxygen + phosphate	Indo-Pacific	(27.25,27.5]	-0.9664324	-0.9761325	-0.9484257
oxygen + phosphate	Indo-Pacific	(27.5,27.75]	-0.9757491	-0.9818321	-0.9650787
oxygen + phosphate	Indo-Pacific	(27.75,27.85]	-0.9887611	-0.9927883	-0.9833529
oxygen + phosphate	Indo-Pacific	(27.85,27.95]	-0.9895497	-0.9937184	-0.9873934
oxygen + phosphate	Indo-Pacific	(27.95,28.05]	-0.9911152	-0.9942622	-0.9883260
oxygen + phosphate	Indo-Pacific	(28.05,28.1]	-0.9907798	-0.9937021	-0.9874576
oxygen + phosphate	Indo-Pacific	(28.1, Inf]	-0.9831728	-0.9908770	-0.9733160
oxygen + phosphate_star	Atlantic	(-Inf,26]	-0.0439548	-0.1888279	0.1750211
oxygen + phosphate_star	Atlantic	(26,26.5]	-0.0937948	-0.1217000	-0.0573360
oxygen + phosphate_star	Atlantic	(26.5,26.75]	-0.1964488	-0.7005227	0.0702429
oxygen + phosphate_star	Atlantic	(26.75,27]	0.0517837	-0.1815692	0.2339684
oxygen + phosphate_star	Atlantic	(27,27.25]	0.0403054	-0.0085985	0.0673417
oxygen + phosphate_star	Atlantic	(27.25,27.5]	0.0795439	-0.0249721	0.1842194
oxygen + phosphate_star	Atlantic	(27.5,27.75]	-0.0793212	-0.2490807	0.0717100
oxygen + phosphate_star	Atlantic	(27.75,27.85]	-0.1018370	-0.4528051	0.2014536
oxygen + phosphate_star	Atlantic	(27.85,27.95]	-0.0819055	-0.3044153	0.1738133
oxygen + phosphate_star	Atlantic	(27.95,28.05]	-0.2941046	-0.4814769	0.0060518
oxygen + phosphate_star	Atlantic	(28.05,28.1]	-0.6620808	-0.7441232	-0.5124915
oxygen + phosphate_star	Atlantic	(28.1,28.15]	-0.7910805	-0.8202049	-0.7489266
oxygen + phosphate_star	Atlantic	(28.15,28.2]	-0.8543341	-0.9002898	-0.8175255
oxygen + phosphate_star	Atlantic	(28.2, Inf]	-0.6118463	-0.7875055	-0.4153590
oxygen + phosphate_star	Indo-Pacific	(-Inf,26]	-0.2382659	-0.3259185	-0.1611179
oxygen + phosphate_star	Indo-Pacific	(26,26.5]	-0.2510340	-0.3103861	-0.1794202
oxygen + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.2771008	-0.4499686	-0.1791139
oxygen + phosphate_star	Indo-Pacific	(26.75,27]	-0.4595021	-0.5530329	-0.2919589
oxygen + phosphate_star	Indo-Pacific	(27,27.25]	-0.5833725	-0.6535896	-0.4592585
oxygen + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.4112376	-0.5079428	-0.2338729
oxygen + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.0006668	-0.1043966	0.1464830
oxygen + phosphate_star	Indo-Pacific	(27.75,27.85]	0.2695589	0.2298494	0.2998597
oxygen + phosphate_star	Indo-Pacific	(27.85,27.95]	0.3547038	0.2112269	0.4615945
oxygen + phosphate_star	Indo-Pacific	(27.95,28.05]	0.3435489	0.1634526	0.5196264
oxygen + phosphate_star	Indo-Pacific	(28.05,28.1]	0.2187510	0.0856698	0.3661542
oxygen + phosphate_star	Indo-Pacific	(28.1, Inf]	0.4567786	0.3569081	0.5137391
oxygen + silicate	Atlantic	(-Inf,26]	-0.0305278	-0.6041686	0.4482681
oxygen + silicate	Atlantic	(26,26.5]	-0.4314745	-0.6878190	-0.2558677
oxygen + silicate	Atlantic	(26.5,26.75]	-0.6315163	-0.6954525	-0.5896978
oxygen + silicate	Atlantic	(26.75,27]	-0.7705197	-0.8139741	-0.7421973
oxygen + silicate	Atlantic	(27,27.25]	-0.5704295	-0.5863540	-0.5551832
oxygen + silicate	Atlantic	(27.25,27.5]	-0.5921970	-0.6366353	-0.5279703
oxygen + silicate	Atlantic	(27.5,27.75]	-0.4641657	-0.6386202	-0.3257792
oxygen + silicate	Atlantic	(27.75,27.85]	-0.2660655	-0.5488116	-0.0474173
oxygen + silicate	Atlantic	(27.85,27.95]	-0.2112856	-0.4335928	-0.0197358
oxygen + silicate	Atlantic	(27.95,28.05]	-0.3605893	-0.5231060	-0.1653692
oxygen + silicate	Atlantic	(28.05,28.1]	-0.7099203	-0.7708889	-0.6165090
oxygen + silicate	Atlantic	(28.1,28.15]	-0.8435616	-0.8618609	-0.8311741
oxygen + silicate	Atlantic	(28.15,28.2]	-0.9197272	-0.9304852	-0.8992364
oxygen + silicate	Atlantic	(28.2, Inf]	-0.5246651	-0.8073352	-0.2746950
oxygen + silicate	Indo-Pacific	(-Inf,26]	-0.6400928	-0.7203731	-0.5618375
oxygen + silicate	Indo-Pacific	(26,26.5]	-0.6731889	-0.7022922	-0.6578994
oxygen + silicate	Indo-Pacific	(26.5,26.75]	-0.6794356	-0.7224339	-0.6376973
oxygen + silicate	Indo-Pacific	(26.75,27]	-0.7706206	-0.8137081	-0.7221291
oxygen + silicate	Indo-Pacific	(27,27.25]	-0.8616722	-0.8993981	-0.8174159
oxygen + silicate	Indo-Pacific	(27.25,27.5]	-0.9022169	-0.9359748	-0.8532483
oxygen + silicate	Indo-Pacific	(27.5,27.75]	-0.9271109	-0.9496512	-0.8981115
oxygen + silicate	Indo-Pacific	(27.75,27.85]	-0.9597074	-0.9705878	-0.9404557
oxygen + silicate	Indo-Pacific	(27.85,27.95]	-0.9675272	-0.9778114	-0.9521227
oxygen + silicate	Indo-Pacific	(27.95,28.05]	-0.9748711	-0.9818170	-0.9621138
oxygen + silicate	Indo-Pacific	(28.05,28.1]	-0.9853523	-0.9911697	-0.9777965
oxygen + silicate	Indo-Pacific	(28.1, Inf]	-0.8638733	-0.8842951	-0.8255780
phosphate + phosphate_star	Atlantic	(-Inf,26]	0.4956739	0.1663615	0.7540386
phosphate + phosphate_star	Atlantic	(26,26.5]	0.7656584	0.6761316	0.8710073
phosphate + phosphate_star	Atlantic	(26.5,26.75]	0.6408470	0.4773425	0.9435438
phosphate + phosphate_star	Atlantic	(26.75,27]	0.3358179	0.1233900	0.5734317
phosphate + phosphate_star	Atlantic	(27,27.25]	0.4318926	0.3802229	0.4631923
phosphate + phosphate_star	Atlantic	(27.25,27.5]	0.4615751	0.4163382	0.4942829
phosphate + phosphate_star	Atlantic	(27.5,27.75]	0.7334010	0.7178132	0.7418677
phosphate + phosphate_star	Atlantic	(27.75,27.85]	0.8870756	0.8653795	0.9275912
phosphate + phosphate_star	Atlantic	(27.85,27.95]	0.9179548	0.9054938	0.9295679
phosphate + phosphate_star	Atlantic	(27.95,28.05]	0.9496668	0.9453267	0.9522198
phosphate + phosphate_star	Atlantic	(28.05,28.1]	0.9763489	0.9696526	0.9804782
phosphate + phosphate_star	Atlantic	(28.1,28.15]	0.9832776	0.9816655	0.9848834
phosphate + phosphate_star	Atlantic	(28.15,28.2]	0.9848233	0.9788299	0.9885349
phosphate + phosphate_star	Atlantic	(28.2, Inf]	0.9830496	0.9780971	0.9871572
phosphate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7370143	0.6629284	0.7788790
phosphate + phosphate_star	Indo-Pacific	(26,26.5]	0.6764829	0.5945319	0.7464827
phosphate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.6328283	0.5420210	0.7652940
phosphate + phosphate_star	Indo-Pacific	(26.75,27]	0.7681188	0.6829845	0.8163256
phosphate + phosphate_star	Indo-Pacific	(27,27.25]	0.8082275	0.7489981	0.8429185
phosphate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.6289470	0.5300193	0.6828928
phosphate + phosphate_star	Indo-Pacific	(27.5,27.75]	0.2164063	0.1177669	0.2985988
phosphate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.1249186	-0.1417113	-0.1115210
phosphate + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.2186559	-0.3153621	-0.0547606
phosphate + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.2184803	-0.3989298	-0.0112395
phosphate + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.0867832	-0.2396040	0.0727087
phosphate + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.2903208	-0.3934271	-0.1330283
sal + aou	Atlantic	(-Inf,26]	-0.3290726	-0.3994769	-0.2413586
sal + aou	Atlantic	(26,26.5]	-0.4259463	-0.6957853	-0.2194451
sal + aou	Atlantic	(26.5,26.75]	-0.0925723	-0.7220496	0.2435704
sal + aou	Atlantic	(26.75,27]	0.3305151	0.1154712	0.5672571
sal + aou	Atlantic	(27,27.25]	0.3117494	0.2588538	0.4141876
sal + aou	Atlantic	(27.25,27.5]	0.5528251	0.4697440	0.6277144
sal + aou	Atlantic	(27.5,27.75]	0.5323173	0.5049460	0.5827772
sal + aou	Atlantic	(27.75,27.85]	0.3541332	0.1834213	0.4456541
sal + aou	Atlantic	(27.85,27.95]	0.1718742	0.0774087	0.2206727
sal + aou	Atlantic	(27.95,28.05]	-0.2286143	-0.2767580	-0.2007689
sal + aou	Atlantic	(28.05,28.1]	-0.7410776	-0.7584204	-0.7206205
sal + aou	Atlantic	(28.1,28.15]	-0.8726677	-0.8776739	-0.8682162
sal + aou	Atlantic	(28.15,28.2]	-0.8516380	-0.8802360	-0.8215009
sal + aou	Atlantic	(28.2, Inf]	-0.8988927	-0.9544903	-0.8689173
sal + aou	Indo-Pacific	(-Inf,26]	-0.1527464	-0.2785078	0.0512398
sal + aou	Indo-Pacific	(26,26.5]	-0.2344889	-0.3885744	-0.0503267
sal + aou	Indo-Pacific	(26.5,26.75]	-0.1397092	-0.4451865	0.1479270
sal + aou	Indo-Pacific	(26.75,27]	-0.3241188	-0.5810817	-0.0630124
sal + aou	Indo-Pacific	(27,27.25]	-0.5826482	-0.7019751	-0.4940972
sal + aou	Indo-Pacific	(27.25,27.5]	-0.4589364	-0.6201695	-0.2485495
sal + aou	Indo-Pacific	(27.5,27.75]	-0.0009471	-0.1380915	0.1987127
sal + aou	Indo-Pacific	(27.75,27.85]	0.4012011	0.3678549	0.4391210
sal + aou	Indo-Pacific	(27.85,27.95]	0.5942633	0.5524583	0.6624758
sal + aou	Indo-Pacific	(27.95,28.05]	0.7868140	0.6653102	0.8573917
sal + aou	Indo-Pacific	(28.05,28.1]	0.8457796	0.7289826	0.9241315
sal + aou	Indo-Pacific	(28.1, Inf]	0.5357851	0.4915114	0.5677628
sal + oxygen	Atlantic	(-Inf,26]	0.1459896	-0.1885701	0.4357109
sal + oxygen	Atlantic	(26,26.5]	0.1503492	-0.0899063	0.4330307
sal + oxygen	Atlantic	(26.5,26.75]	-0.0645955	-0.4000187	0.5697301
sal + oxygen	Atlantic	(26.75,27]	-0.4497919	-0.6634067	-0.2505270
sal + oxygen	Atlantic	(27,27.25]	-0.4223488	-0.5141722	-0.3604011
sal + oxygen	Atlantic	(27.25,27.5]	-0.7036110	-0.7865526	-0.6319974
sal + oxygen	Atlantic	(27.5,27.75]	-0.7067418	-0.7480410	-0.6674345
sal + oxygen	Atlantic	(27.75,27.85]	-0.5490458	-0.6543253	-0.3911025
sal + oxygen	Atlantic	(27.85,27.95]	-0.4554404	-0.5483015	-0.3543479
sal + oxygen	Atlantic	(27.95,28.05]	-0.1356977	-0.2883012	-0.0149807
sal + oxygen	Atlantic	(28.05,28.1]	0.5036118	0.3948727	0.5676742
sal + oxygen	Atlantic	(28.1,28.15]	0.7301834	0.6914341	0.7721617
sal + oxygen	Atlantic	(28.15,28.2]	0.7501641	0.7289491	0.7617841
sal + oxygen	Atlantic	(28.2, Inf]	0.6982236	0.5700550	0.7772625
sal + oxygen	Indo-Pacific	(-Inf,26]	-0.0924267	-0.2397090	-0.0109321
sal + oxygen	Indo-Pacific	(26,26.5]	0.0157246	-0.1264244	0.1166703
sal + oxygen	Indo-Pacific	(26.5,26.75]	-0.0443081	-0.3304326	0.2578370
sal + oxygen	Indo-Pacific	(26.75,27]	0.1073842	-0.1931265	0.3925593
sal + oxygen	Indo-Pacific	(27,27.25]	0.4350746	0.3328879	0.5867146
sal + oxygen	Indo-Pacific	(27.25,27.5]	0.3684856	0.1348285	0.5542237
sal + oxygen	Indo-Pacific	(27.5,27.75]	-0.0707412	-0.2812893	0.0799248
sal + oxygen	Indo-Pacific	(27.75,27.85]	-0.4579400	-0.4972664	-0.4312423
sal + oxygen	Indo-Pacific	(27.85,27.95]	-0.6378983	-0.6985990	-0.6002620
sal + oxygen	Indo-Pacific	(27.95,28.05]	-0.8102376	-0.8688150	-0.7041139
sal + oxygen	Indo-Pacific	(28.05,28.1]	-0.8662571	-0.9341687	-0.7651189
sal + oxygen	Indo-Pacific	(28.1, Inf]	-0.5544721	-0.5816413	-0.5193127
sal + phosphate	Atlantic	(-Inf,26]	-0.1182969	-0.3269080	0.0983411
sal + phosphate	Atlantic	(26,26.5]	-0.6622266	-0.9275963	-0.4938026
sal + phosphate	Atlantic	(26.5,26.75]	-0.3595023	-0.8424504	-0.0787438
sal + phosphate	Atlantic	(26.75,27]	0.1324804	-0.1322127	0.4236732
sal + phosphate	Atlantic	(27,27.25]	0.0145051	-0.0740656	0.1514033
sal + phosphate	Atlantic	(27.25,27.5]	0.3253199	0.2253352	0.3990753
sal + phosphate	Atlantic	(27.5,27.75]	0.2382237	0.1344552	0.3672769
sal + phosphate	Atlantic	(27.75,27.85]	-0.2314209	-0.3439333	-0.1678431
sal + phosphate	Atlantic	(27.85,27.95]	-0.4650279	-0.5952070	-0.3819523
sal + phosphate	Atlantic	(27.95,28.05]	-0.6235716	-0.7599067	-0.5519602
sal + phosphate	Atlantic	(28.05,28.1]	-0.8878609	-0.9301148	-0.8594776
sal + phosphate	Atlantic	(28.1,28.15]	-0.9448198	-0.9534895	-0.9362409
sal + phosphate	Atlantic	(28.15,28.2]	-0.8933733	-0.9281705	-0.8718645
sal + phosphate	Atlantic	(28.2, Inf]	-0.9195324	-0.9535991	-0.8912548
sal + phosphate	Indo-Pacific	(-Inf,26]	-0.3038270	-0.4341215	-0.1488436
sal + phosphate	Indo-Pacific	(26,26.5]	-0.4172823	-0.5983539	-0.2779622
sal + phosphate	Indo-Pacific	(26.5,26.75]	-0.2866597	-0.5894216	0.0909481
sal + phosphate	Indo-Pacific	(26.75,27]	-0.3861956	-0.6660000	0.0338688
sal + phosphate	Indo-Pacific	(27,27.25]	-0.6056581	-0.7511763	-0.4345526
sal + phosphate	Indo-Pacific	(27.25,27.5]	-0.4884145	-0.6576529	-0.4029651
sal + phosphate	Indo-Pacific	(27.5,27.75]	-0.0124541	-0.1681631	0.0716404
sal + phosphate	Indo-Pacific	(27.75,27.85]	0.3939406	0.3457083	0.4557764
sal + phosphate	Indo-Pacific	(27.85,27.95]	0.5693411	0.4834446	0.6156549
sal + phosphate	Indo-Pacific	(27.95,28.05]	0.7491316	0.6146316	0.8355202
sal + phosphate	Indo-Pacific	(28.05,28.1]	0.8133817	0.6859437	0.9042569
sal + phosphate	Indo-Pacific	(28.1, Inf]	0.5128434	0.4604009	0.5408937
sal + phosphate_star	Atlantic	(-Inf,26]	-0.1015579	-0.3974519	0.2394851
sal + phosphate_star	Atlantic	(26,26.5]	-0.8213946	-0.8699232	-0.7662047
sal + phosphate_star	Atlantic	(26.5,26.75]	-0.8711234	-0.9346956	-0.8387051
sal + phosphate_star	Atlantic	(26.75,27]	-0.7551948	-0.8075658	-0.6997765
sal + phosphate_star	Atlantic	(27,27.25]	-0.7852341	-0.8637187	-0.7347450
sal + phosphate_star	Atlantic	(27.25,27.5]	-0.5671728	-0.6116643	-0.5299575
sal + phosphate_star	Atlantic	(27.5,27.75]	-0.3566621	-0.4314980	-0.2645581
sal + phosphate_star	Atlantic	(27.75,27.85]	-0.5745236	-0.6960267	-0.4495713
sal + phosphate_star	Atlantic	(27.85,27.95]	-0.7277725	-0.8244826	-0.6394695
sal + phosphate_star	Atlantic	(27.95,28.05]	-0.7819448	-0.8887828	-0.7122211
sal + phosphate_star	Atlantic	(28.05,28.1]	-0.9470143	-0.9728541	-0.9321605
sal + phosphate_star	Atlantic	(28.1,28.15]	-0.9728241	-0.9792613	-0.9677890
sal + phosphate_star	Atlantic	(28.15,28.2]	-0.9184513	-0.9545633	-0.8985193
sal + phosphate_star	Atlantic	(28.2, Inf]	-0.9033796	-0.9260084	-0.8615713
sal + phosphate_star	Indo-Pacific	(-Inf,26]	-0.6456605	-0.7286547	-0.5967453
sal + phosphate_star	Indo-Pacific	(26,26.5]	-0.8344917	-0.9168049	-0.7353517
sal + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.7875867	-0.9249033	-0.5226460
sal + phosphate_star	Indo-Pacific	(26.75,27]	-0.6910209	-0.9406975	-0.2519857
sal + phosphate_star	Indo-Pacific	(27,27.25]	-0.7484875	-0.9421940	-0.4201148
sal + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.6032855	-0.8752603	-0.2042100
sal + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.3367028	-0.8429120	0.3085397
sal + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.4385478	-0.9013520	0.1253020
sal + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.6004023	-0.8058244	-0.2574201
sal + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.6561798	-0.7771225	-0.5501217
sal + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.5089987	-0.6214950	-0.4008796
sal + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.4116777	-0.4726755	-0.3687580
sal + silicate	Atlantic	(-Inf,26]	-0.8653001	-0.9222475	-0.7900439
sal + silicate	Atlantic	(26,26.5]	0.0406219	-0.0688224	0.1778448
sal + silicate	Atlantic	(26.5,26.75]	0.0781675	-0.3674691	0.3202103
sal + silicate	Atlantic	(26.75,27]	0.1402779	-0.0969037	0.3496892
sal + silicate	Atlantic	(27,27.25]	-0.2630910	-0.4297843	-0.1700452
sal + silicate	Atlantic	(27.25,27.5]	0.1512326	0.0313294	0.2785948
sal + silicate	Atlantic	(27.5,27.75]	0.0270695	-0.0708702	0.1638907
sal + silicate	Atlantic	(27.75,27.85]	-0.4800322	-0.5544186	-0.3975201
sal + silicate	Atlantic	(27.85,27.95]	-0.6852633	-0.7547638	-0.5947000
sal + silicate	Atlantic	(27.95,28.05]	-0.7865253	-0.8418038	-0.7304422
sal + silicate	Atlantic	(28.05,28.1]	-0.9442242	-0.9525542	-0.9314768
sal + silicate	Atlantic	(28.1,28.15]	-0.9480982	-0.9502662	-0.9459797
sal + silicate	Atlantic	(28.15,28.2]	-0.7723584	-0.8382391	-0.7180796
sal + silicate	Atlantic	(28.2, Inf]	-0.6620478	-0.7416745	-0.5440987
sal + silicate	Indo-Pacific	(-Inf,26]	-0.5209934	-0.6394908	-0.4316622
sal + silicate	Indo-Pacific	(26,26.5]	-0.5887862	-0.6976435	-0.5135161
sal + silicate	Indo-Pacific	(26.5,26.75]	-0.5381728	-0.7471703	-0.2391930
sal + silicate	Indo-Pacific	(26.75,27]	-0.5552795	-0.7487651	-0.2099512
sal + silicate	Indo-Pacific	(27,27.25]	-0.6894322	-0.7905687	-0.5127082
sal + silicate	Indo-Pacific	(27.25,27.5]	-0.5801404	-0.7103676	-0.4550430
sal + silicate	Indo-Pacific	(27.5,27.75]	-0.0800046	-0.2180939	0.0796954
sal + silicate	Indo-Pacific	(27.75,27.85]	0.3580299	0.2185215	0.4992096
sal + silicate	Indo-Pacific	(27.85,27.95]	0.5395645	0.3800975	0.6423499
sal + silicate	Indo-Pacific	(27.95,28.05]	0.7267629	0.5466113	0.8429111
sal + silicate	Indo-Pacific	(28.05,28.1]	0.8028785	0.6523861	0.9106207
sal + silicate	Indo-Pacific	(28.1, Inf]	0.7638635	0.6872458	0.8237623
sal + temp	Atlantic	(-Inf,26]	0.5758398	0.1109140	0.8704676
sal + temp	Atlantic	(26,26.5]	0.9359533	0.9211262	0.9499563
sal + temp	Atlantic	(26.5,26.75]	0.9791279	0.9720294	0.9882707
sal + temp	Atlantic	(26.75,27]	0.9789337	0.9755486	0.9823861
sal + temp	Atlantic	(27,27.25]	0.9648553	0.9586743	0.9701576
sal + temp	Atlantic	(27.25,27.5]	0.9848859	0.9821868	0.9891053
sal + temp	Atlantic	(27.5,27.75]	0.9697611	0.9622407	0.9777552
sal + temp	Atlantic	(27.75,27.85]	0.9697777	0.9631110	0.9754727
sal + temp	Atlantic	(27.85,27.95]	0.9670747	0.9625950	0.9732117
sal + temp	Atlantic	(27.95,28.05]	0.9456929	0.9235459	0.9706401
sal + temp	Atlantic	(28.05,28.1]	0.9579861	0.9272750	0.9796896
sal + temp	Atlantic	(28.1,28.15]	0.9540762	0.9409461	0.9714544
sal + temp	Atlantic	(28.15,28.2]	0.9404649	0.9215379	0.9704946
sal + temp	Atlantic	(28.2, Inf]	0.9438473	0.9226141	0.9649111
sal + temp	Indo-Pacific	(-Inf,26]	0.6844698	0.5369646	0.7814926
sal + temp	Indo-Pacific	(26,26.5]	0.9446384	0.9118903	0.9623525
sal + temp	Indo-Pacific	(26.5,26.75]	0.9809310	0.9723981	0.9854290
sal + temp	Indo-Pacific	(26.75,27]	0.9818448	0.9792904	0.9833019
sal + temp	Indo-Pacific	(27,27.25]	0.9795876	0.9737071	0.9835574
sal + temp	Indo-Pacific	(27.25,27.5]	0.9302225	0.9186805	0.9437114
sal + temp	Indo-Pacific	(27.5,27.75]	0.8358912	0.7976381	0.8918152
sal + temp	Indo-Pacific	(27.75,27.85]	0.9449838	0.9275242	0.9548340
sal + temp	Indo-Pacific	(27.85,27.95]	0.9341081	0.9300429	0.9371483
sal + temp	Indo-Pacific	(27.95,28.05]	0.9025169	0.8695710	0.9289049
sal + temp	Indo-Pacific	(28.05,28.1]	0.9441753	0.9439388	0.9444632
sal + temp	Indo-Pacific	(28.1, Inf]	0.6254871	0.6242750	0.6268831
silicate + phosphate	Atlantic	(-Inf,26]	-0.1111137	-0.4925249	0.0984044
silicate + phosphate	Atlantic	(26,26.5]	0.0268716	-0.1075953	0.1476823
silicate + phosphate	Atlantic	(26.5,26.75]	0.5417620	0.4279994	0.6756658
silicate + phosphate	Atlantic	(26.75,27]	0.8607136	0.8290069	0.9082251
silicate + phosphate	Atlantic	(27,27.25]	0.8553455	0.8382968	0.8727719
silicate + phosphate	Atlantic	(27.25,27.5]	0.8931892	0.8629531	0.9163478
silicate + phosphate	Atlantic	(27.5,27.75]	0.9191341	0.8966419	0.9452025
silicate + phosphate	Atlantic	(27.75,27.85]	0.9313727	0.9083667	0.9518107
silicate + phosphate	Atlantic	(27.85,27.95]	0.9399944	0.9077022	0.9592549
silicate + phosphate	Atlantic	(27.95,28.05]	0.9439650	0.9158866	0.9671040
silicate + phosphate	Atlantic	(28.05,28.1]	0.9692540	0.9562167	0.9843505
silicate + phosphate	Atlantic	(28.1,28.15]	0.9791355	0.9715407	0.9882152
silicate + phosphate	Atlantic	(28.15,28.2]	0.9645295	0.9561091	0.9744129
silicate + phosphate	Atlantic	(28.2, Inf]	0.8799348	0.8355209	0.9048679
silicate + phosphate	Indo-Pacific	(-Inf,26]	0.8741010	0.8195417	0.9322975
silicate + phosphate	Indo-Pacific	(26,26.5]	0.8822908	0.8729555	0.8942966
silicate + phosphate	Indo-Pacific	(26.5,26.75]	0.8641198	0.8339559	0.8916494
silicate + phosphate	Indo-Pacific	(26.75,27]	0.9120776	0.8894684	0.9284962
silicate + phosphate	Indo-Pacific	(27,27.25]	0.9466308	0.9356332	0.9591838
silicate + phosphate	Indo-Pacific	(27.25,27.5]	0.9610411	0.9486442	0.9744575
silicate + phosphate	Indo-Pacific	(27.5,27.75]	0.9721024	0.9620068	0.9815004
silicate + phosphate	Indo-Pacific	(27.75,27.85]	0.9819287	0.9750288	0.9869474
silicate + phosphate	Indo-Pacific	(27.85,27.95]	0.9856590	0.9787833	0.9896059
silicate + phosphate	Indo-Pacific	(27.95,28.05]	0.9880148	0.9826899	0.9916898
silicate + phosphate	Indo-Pacific	(28.05,28.1]	0.9940366	0.9915108	0.9954863
silicate + phosphate	Indo-Pacific	(28.1, Inf]	0.8880189	0.8741244	0.8988960
silicate + phosphate_star	Atlantic	(-Inf,26]	-0.1032946	-0.5012973	0.4765695
silicate + phosphate_star	Atlantic	(26,26.5]	-0.3314717	-0.4159496	-0.2340227
silicate + phosphate_star	Atlantic	(26.5,26.75]	0.1314958	-0.1482347	0.5706126
silicate + phosphate_star	Atlantic	(26.75,27]	0.3494046	0.2411847	0.5450518
silicate + phosphate_star	Atlantic	(27,27.25]	0.7287576	0.6868519	0.7682711
silicate + phosphate_star	Atlantic	(27.25,27.5]	0.6864247	0.5969089	0.7335803
silicate + phosphate_star	Atlantic	(27.5,27.75]	0.8836956	0.8823853	0.8852601
silicate + phosphate_star	Atlantic	(27.75,27.85]	0.9596252	0.9377831	0.9783040
silicate + phosphate_star	Atlantic	(27.85,27.95]	0.9670229	0.9561398	0.9749835
silicate + phosphate_star	Atlantic	(27.95,28.05]	0.9693501	0.9607249	0.9780557
silicate + phosphate_star	Atlantic	(28.05,28.1]	0.9743724	0.9705065	0.9768908
silicate + phosphate_star	Atlantic	(28.1,28.15]	0.9739853	0.9653828	0.9795962
silicate + phosphate_star	Atlantic	(28.15,28.2]	0.9399644	0.9349042	0.9479015
silicate + phosphate_star	Atlantic	(28.2, Inf]	0.8980784	0.8749915	0.9314591
silicate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7459018	0.6204997	0.8096140
silicate + phosphate_star	Indo-Pacific	(26,26.5]	0.7622860	0.7457820	0.7798440
silicate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.7664070	0.6839074	0.8411911
silicate + phosphate_star	Indo-Pacific	(26.75,27]	0.8137898	0.7973098	0.8248314
silicate + phosphate_star	Indo-Pacific	(27,27.25]	0.8341491	0.8251492	0.8454096
silicate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.6838291	0.6271091	0.7217930
silicate + phosphate_star	Indo-Pacific	(27.5,27.75]	0.3054127	0.2281570	0.3876940
silicate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.0498080	-0.0930031	-0.0182950
silicate + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.1635113	-0.2852075	0.0381551
silicate + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.1858453	-0.3831649	0.0487079
silicate + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.0913942	-0.2439654	0.0801666
silicate + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.2173036	-0.3426413	-0.0073490
temp + aou	Atlantic	(-Inf,26]	-0.6390034	-0.8454485	-0.3763824
temp + aou	Atlantic	(26,26.5]	-0.5032456	-0.7321050	-0.3175104
temp + aou	Atlantic	(26.5,26.75]	-0.1609547	-0.7449285	0.1482724
temp + aou	Atlantic	(26.75,27]	0.2573988	0.0214790	0.4993581
temp + aou	Atlantic	(27,27.25]	0.2796218	0.2227568	0.3607660
temp + aou	Atlantic	(27.25,27.5]	0.5677253	0.4852878	0.6327484
temp + aou	Atlantic	(27.5,27.75]	0.5413865	0.5015854	0.6004088
temp + aou	Atlantic	(27.75,27.85]	0.3207883	0.0891778	0.4556092
temp + aou	Atlantic	(27.85,27.95]	0.1772833	0.0415634	0.2539471
temp + aou	Atlantic	(27.95,28.05]	-0.1366965	-0.1999250	-0.0871703
temp + aou	Atlantic	(28.05,28.1]	-0.5928811	-0.6690707	-0.4807386
temp + aou	Atlantic	(28.1,28.15]	-0.7499504	-0.7838902	-0.7090798
temp + aou	Atlantic	(28.15,28.2]	-0.7991069	-0.8412690	-0.7647553
temp + aou	Atlantic	(28.2, Inf]	-0.8401601	-0.8953837	-0.7744580
temp + aou	Indo-Pacific	(-Inf,26]	-0.3992296	-0.5203184	-0.2310820
temp + aou	Indo-Pacific	(26,26.5]	-0.2585358	-0.3890213	-0.0834556
temp + aou	Indo-Pacific	(26.5,26.75]	-0.1229597	-0.4312569	0.1698839
temp + aou	Indo-Pacific	(26.75,27]	-0.2824832	-0.5302140	-0.0150048
temp + aou	Indo-Pacific	(27,27.25]	-0.5560927	-0.6732665	-0.4819731
temp + aou	Indo-Pacific	(27.25,27.5]	-0.4315781	-0.5771739	-0.2521126
temp + aou	Indo-Pacific	(27.5,27.75]	0.0105261	-0.1028657	0.1756704
temp + aou	Indo-Pacific	(27.75,27.85]	0.4227127	0.4006283	0.4605944
temp + aou	Indo-Pacific	(27.85,27.95]	0.5980328	0.5205243	0.6488925
temp + aou	Indo-Pacific	(27.95,28.05]	0.7353071	0.6236233	0.7958146
temp + aou	Indo-Pacific	(28.05,28.1]	0.7789163	0.6726369	0.8433574
temp + aou	Indo-Pacific	(28.1, Inf]	0.8412592	0.7817126	0.8762637
temp + oxygen	Atlantic	(-Inf,26]	0.3124020	-0.0979425	0.5606286
temp + oxygen	Atlantic	(26,26.5]	0.2169032	0.0002856	0.4550598
temp + oxygen	Atlantic	(26.5,26.75]	-0.0004492	-0.3117351	0.5938990
temp + oxygen	Atlantic	(26.75,27]	-0.3827743	-0.6033005	-0.1615508
temp + oxygen	Atlantic	(27,27.25]	-0.3954055	-0.4672399	-0.3259920
temp + oxygen	Atlantic	(27.25,27.5]	-0.7197843	-0.7941757	-0.6492402
temp + oxygen	Atlantic	(27.5,27.75]	-0.7203844	-0.7666412	-0.6853154
temp + oxygen	Atlantic	(27.75,27.85]	-0.5243777	-0.6699598	-0.3091469
temp + oxygen	Atlantic	(27.85,27.95]	-0.4690581	-0.5861225	-0.3315914
temp + oxygen	Atlantic	(27.95,28.05]	-0.2426764	-0.3816975	-0.1152043
temp + oxygen	Atlantic	(28.05,28.1]	0.3189876	0.2660265	0.4238103
temp + oxygen	Atlantic	(28.1,28.15]	0.5618570	0.5134652	0.6116530
temp + oxygen	Atlantic	(28.15,28.2]	0.6689849	0.6429771	0.6965912
temp + oxygen	Atlantic	(28.2, Inf]	0.5702771	0.3677020	0.6977596
temp + oxygen	Indo-Pacific	(-Inf,26]	0.0839881	-0.0674335	0.2340291
temp + oxygen	Indo-Pacific	(26,26.5]	0.0279467	-0.0997953	0.1064593
temp + oxygen	Indo-Pacific	(26.5,26.75]	-0.0651560	-0.3572904	0.2394110
temp + oxygen	Indo-Pacific	(26.75,27]	0.0589581	-0.2454450	0.3311933
temp + oxygen	Indo-Pacific	(27,27.25]	0.4018579	0.3166788	0.5509922
temp + oxygen	Indo-Pacific	(27.25,27.5]	0.3322748	0.1323931	0.5017342
temp + oxygen	Indo-Pacific	(27.5,27.75]	-0.0947217	-0.2684271	0.0311223
temp + oxygen	Indo-Pacific	(27.75,27.85]	-0.4823014	-0.5212952	-0.4595799
temp + oxygen	Indo-Pacific	(27.85,27.95]	-0.6459797	-0.6904836	-0.5741650
temp + oxygen	Indo-Pacific	(27.95,28.05]	-0.7680060	-0.8176465	-0.6716608
temp + oxygen	Indo-Pacific	(28.05,28.1]	-0.8071665	-0.8612133	-0.7165645
temp + oxygen	Indo-Pacific	(28.1, Inf]	-0.8685081	-0.8957338	-0.8224643
temp + phosphate	Atlantic	(-Inf,26]	-0.5699845	-0.9580271	-0.0776522
temp + phosphate	Atlantic	(26,26.5]	-0.7196642	-0.9551255	-0.5460465
temp + phosphate	Atlantic	(26.5,26.75]	-0.4171077	-0.8555004	-0.1654889
temp + phosphate	Atlantic	(26.75,27]	0.0667756	-0.2067637	0.3562171
temp + phosphate	Atlantic	(27,27.25]	-0.0046599	-0.0956262	0.1057343
temp + phosphate	Atlantic	(27.25,27.5]	0.3546403	0.2598729	0.4168450
temp + phosphate	Atlantic	(27.5,27.75]	0.2486772	0.1308680	0.3832213
temp + phosphate	Atlantic	(27.75,27.85]	-0.3071331	-0.3873187	-0.2380866
temp + phosphate	Atlantic	(27.85,27.95]	-0.4967174	-0.6006474	-0.4293527
temp + phosphate	Atlantic	(27.95,28.05]	-0.6040039	-0.7363812	-0.5119046
temp + phosphate	Atlantic	(28.05,28.1]	-0.7927537	-0.8840353	-0.6906137
temp + phosphate	Atlantic	(28.1,28.15]	-0.8654373	-0.9016464	-0.8261654
temp + phosphate	Atlantic	(28.15,28.2]	-0.8739708	-0.9103587	-0.8445536
temp + phosphate	Atlantic	(28.2, Inf]	-0.9140087	-0.9559646	-0.8702178
temp + phosphate	Indo-Pacific	(-Inf,26]	-0.5622781	-0.6702276	-0.4122422
temp + phosphate	Indo-Pacific	(26,26.5]	-0.4536751	-0.6094595	-0.3176882
temp + phosphate	Indo-Pacific	(26.5,26.75]	-0.2680444	-0.5772518	0.1233390
temp + phosphate	Indo-Pacific	(26.75,27]	-0.3514037	-0.6258011	0.0793061
temp + phosphate	Indo-Pacific	(27,27.25]	-0.5882412	-0.7322018	-0.4065868
temp + phosphate	Indo-Pacific	(27.25,27.5]	-0.4880361	-0.6416341	-0.3974423
temp + phosphate	Indo-Pacific	(27.5,27.75]	-0.0463311	-0.1755285	0.0204813
temp + phosphate	Indo-Pacific	(27.75,27.85]	0.4016590	0.3645046	0.4675731
temp + phosphate	Indo-Pacific	(27.85,27.95]	0.5566122	0.4445223	0.6396262
temp + phosphate	Indo-Pacific	(27.95,28.05]	0.6848493	0.5597556	0.7593920
temp + phosphate	Indo-Pacific	(28.05,28.1]	0.7322468	0.6126445	0.8079060
temp + phosphate	Indo-Pacific	(28.1, Inf]	0.7952984	0.7062364	0.8531979
temp + phosphate_star	Atlantic	(-Inf,26]	-0.6142777	-0.8686990	-0.3915735
temp + phosphate_star	Atlantic	(26,26.5]	-0.8389632	-0.8902166	-0.8103952
temp + phosphate_star	Atlantic	(26.5,26.75]	-0.8801883	-0.9376572	-0.8464685
temp + phosphate_star	Atlantic	(26.75,27]	-0.7655867	-0.8085722	-0.7166361
temp + phosphate_star	Atlantic	(27,27.25]	-0.7742349	-0.8441042	-0.7389696
temp + phosphate_star	Atlantic	(27.25,27.5]	-0.5386176	-0.5761862	-0.4980366
temp + phosphate_star	Atlantic	(27.5,27.75]	-0.3544264	-0.4398433	-0.2591732
temp + phosphate_star	Atlantic	(27.75,27.85]	-0.6551057	-0.7489018	-0.5767096
temp + phosphate_star	Atlantic	(27.85,27.95]	-0.7719512	-0.8453226	-0.7249545
temp + phosphate_star	Atlantic	(27.95,28.05]	-0.8030793	-0.8940231	-0.7429685
temp + phosphate_star	Atlantic	(28.05,28.1]	-0.8968530	-0.9533581	-0.8401615
temp + phosphate_star	Atlantic	(28.1,28.15]	-0.9346160	-0.9569522	-0.9139186
temp + phosphate_star	Atlantic	(28.15,28.2]	-0.9300930	-0.9560712	-0.9065541
temp + phosphate_star	Atlantic	(28.2, Inf]	-0.9316974	-0.9605304	-0.8901830
temp + phosphate_star	Indo-Pacific	(-Inf,26]	-0.8856695	-0.9152386	-0.8570228
temp + phosphate_star	Indo-Pacific	(26,26.5]	-0.8902311	-0.9489332	-0.8303391
temp + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.7821229	-0.9313500	-0.4972881
temp + phosphate_star	Indo-Pacific	(26.75,27]	-0.6895507	-0.9524123	-0.2320812
temp + phosphate_star	Indo-Pacific	(27,27.25]	-0.7653195	-0.9588750	-0.4369571
temp + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.7157998	-0.9494557	-0.3563752
temp + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.6149934	-0.9569331	-0.1234111
temp + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.5642187	-0.9339285	-0.0672973
temp + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.7482470	-0.8819837	-0.5055034
temp + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.8042693	-0.8754713	-0.7536959
temp + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.6618956	-0.7308722	-0.5943587
temp + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.6808255	-0.6861892	-0.6773514
temp + silicate	Atlantic	(-Inf,26]	-0.4175413	-0.6747236	0.0554046
temp + silicate	Atlantic	(26,26.5]	0.0638480	-0.0209373	0.1225077
temp + silicate	Atlantic	(26.5,26.75]	-0.0070891	-0.4645273	0.2479046
temp + silicate	Atlantic	(26.75,27]	0.0583399	-0.1834712	0.2720436
temp + silicate	Atlantic	(27,27.25]	-0.2910968	-0.4576438	-0.1916495
temp + silicate	Atlantic	(27.25,27.5]	0.1858028	0.0765657	0.3005595
temp + silicate	Atlantic	(27.5,27.75]	0.0410478	-0.0703305	0.1824811
temp + silicate	Atlantic	(27.75,27.85]	-0.5481282	-0.5873553	-0.5196312
temp + silicate	Atlantic	(27.85,27.95]	-0.7074080	-0.7503912	-0.6600326
temp + silicate	Atlantic	(27.95,28.05]	-0.7829536	-0.8224309	-0.7600735
temp + silicate	Atlantic	(28.05,28.1]	-0.8739728	-0.9108100	-0.8018133
temp + silicate	Atlantic	(28.1,28.15]	-0.8981396	-0.9084739	-0.8784256
temp + silicate	Atlantic	(28.15,28.2]	-0.7976159	-0.8374968	-0.7409979
temp + silicate	Atlantic	(28.2, Inf]	-0.7491024	-0.8060946	-0.6536930
temp + silicate	Indo-Pacific	(-Inf,26]	-0.6218557	-0.7464407	-0.3754710
temp + silicate	Indo-Pacific	(26,26.5]	-0.6074102	-0.6965488	-0.5404634
temp + silicate	Indo-Pacific	(26.5,26.75]	-0.5121589	-0.7347531	-0.1791839
temp + silicate	Indo-Pacific	(26.75,27]	-0.5176616	-0.7086407	-0.1511081
temp + silicate	Indo-Pacific	(27,27.25]	-0.6768735	-0.7778597	-0.4867589
temp + silicate	Indo-Pacific	(27.25,27.5]	-0.5892959	-0.7055242	-0.4608314
temp + silicate	Indo-Pacific	(27.5,27.75]	-0.1425860	-0.2550541	-0.0239390
temp + silicate	Indo-Pacific	(27.75,27.85]	0.3493755	0.2280404	0.4873779
temp + silicate	Indo-Pacific	(27.85,27.95]	0.5056668	0.3253505	0.6408443
temp + silicate	Indo-Pacific	(27.95,28.05]	0.6350465	0.4745349	0.7213501
temp + silicate	Indo-Pacific	(28.05,28.1]	0.7197196	0.5821944	0.8086801
temp + silicate	Indo-Pacific	(28.1, Inf]	0.7150899	0.5797126	0.8069641

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

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

predictor	basin	gamma_slab	mean_r	min_r	max_r
aou	Atlantic	(-Inf,26]	0.5025183	0.3050261	0.6561475
aou	Atlantic	(26,26.5]	0.0558734	-0.3912624	0.3452699
aou	Atlantic	(26.5,26.75]	-0.2437283	-0.7891694	0.1770023
aou	Atlantic	(26.75,27]	-0.2411295	-0.4165799	-0.1462945
aou	Atlantic	(27,27.25]	-0.3719552	-0.5132103	-0.2321419
aou	Atlantic	(27.25,27.5]	-0.6702907	-0.7736238	-0.5248834
aou	Atlantic	(27.5,27.75]	-0.6199805	-0.8263956	-0.5087385
aou	Atlantic	(27.75,27.85]	-0.5388105	-0.7881223	-0.3538527
aou	Atlantic	(27.85,27.95]	-0.6247160	-0.7948499	-0.4816567
aou	Atlantic	(27.95,28.05]	-0.7809180	-0.8732162	-0.6898621
aou	Atlantic	(28.05,28.1]	-0.9425359	-0.9560940	-0.9282471
aou	Atlantic	(28.1,28.15]	-0.9653623	-0.9751159	-0.9573290
aou	Atlantic	(28.15,28.2]	-0.9622952	-0.9773435	-0.9386641
aou	Atlantic	(28.2, Inf]	-0.8488809	-0.9194834	-0.7604665
aou	Indo-Pacific	(-Inf,26]	0.2032781	0.0850779	0.3700245
aou	Indo-Pacific	(26,26.5]	-0.4049987	-0.4901350	-0.3489173
aou	Indo-Pacific	(26.5,26.75]	-0.6484576	-0.6897751	-0.6175291
aou	Indo-Pacific	(26.75,27]	-0.7764993	-0.8111794	-0.7115555
aou	Indo-Pacific	(27,27.25]	-0.6739221	-0.6983362	-0.6333866
aou	Indo-Pacific	(27.25,27.5]	-0.5237136	-0.6271177	-0.4455132
aou	Indo-Pacific	(27.5,27.75]	-0.0495093	-0.3651922	0.2730302
aou	Indo-Pacific	(27.75,27.85]	0.3675223	0.0729375	0.6782235
aou	Indo-Pacific	(27.85,27.95]	0.4297749	0.2271932	0.6896083
aou	Indo-Pacific	(27.95,28.05]	0.4077192	0.2636192	0.5529089
aou	Indo-Pacific	(28.05,28.1]	0.4434167	0.3556504	0.4954099
aou	Indo-Pacific	(28.1, Inf]	0.5981260	0.4716443	0.6735665
oxygen	Atlantic	(-Inf,26]	-0.3955423	-0.4479404	-0.3693225
oxygen	Atlantic	(26,26.5]	0.0342118	-0.2866940	0.5312249
oxygen	Atlantic	(26.5,26.75]	0.2423655	-0.1678045	0.7591468
oxygen	Atlantic	(26.75,27]	0.2877735	0.1965265	0.4481575
oxygen	Atlantic	(27,27.25]	0.3491801	0.2090848	0.4621045
oxygen	Atlantic	(27.25,27.5]	0.6986344	0.5554230	0.7872953
oxygen	Atlantic	(27.5,27.75]	0.6151080	0.5034151	0.8287535
oxygen	Atlantic	(27.75,27.85]	0.4059100	0.1770110	0.6987305
oxygen	Atlantic	(27.85,27.95]	0.4078471	0.1868290	0.6365777
oxygen	Atlantic	(27.95,28.05]	0.5696495	0.3418162	0.7382647
oxygen	Atlantic	(28.05,28.1]	0.8139982	0.6979162	0.8853967
oxygen	Atlantic	(28.1,28.15]	0.8967274	0.8673913	0.9203335
oxygen	Atlantic	(28.15,28.2]	0.9161278	0.8887331	0.9468453
oxygen	Atlantic	(28.2, Inf]	0.6613878	0.4949399	0.8335619
oxygen	Indo-Pacific	(-Inf,26]	-0.0673780	-0.2254860	0.0267807
oxygen	Indo-Pacific	(26,26.5]	0.3861286	0.3193256	0.4661231
oxygen	Indo-Pacific	(26.5,26.75]	0.6247018	0.5596000	0.6654031
oxygen	Indo-Pacific	(26.75,27]	0.8150151	0.7909237	0.8288054
oxygen	Indo-Pacific	(27,27.25]	0.7286246	0.7166591	0.7395073
oxygen	Indo-Pacific	(27.25,27.5]	0.5294857	0.4203439	0.6632588
oxygen	Indo-Pacific	(27.5,27.75]	0.0462167	-0.2860214	0.3653704
oxygen	Indo-Pacific	(27.75,27.85]	-0.3676628	-0.6514852	-0.1080366
oxygen	Indo-Pacific	(27.85,27.95]	-0.4226136	-0.6571067	-0.2586651
oxygen	Indo-Pacific	(27.95,28.05]	-0.3739238	-0.5134794	-0.2368247
oxygen	Indo-Pacific	(28.05,28.1]	-0.4118034	-0.4672475	-0.3308334
oxygen	Indo-Pacific	(28.1, Inf]	-0.5835233	-0.6645487	-0.4489996
phosphate	Atlantic	(-Inf,26]	0.5736416	0.3770938	0.8549668
phosphate	Atlantic	(26,26.5]	0.1282632	-0.1192021	0.3098939
phosphate	Atlantic	(26.5,26.75]	-0.3737507	-0.8580520	-0.0103808
phosphate	Atlantic	(26.75,27]	-0.3501704	-0.5009967	-0.2611875
phosphate	Atlantic	(27,27.25]	-0.6150217	-0.7377704	-0.5074174
phosphate	Atlantic	(27.25,27.5]	-0.8452437	-0.8877460	-0.7741359
phosphate	Atlantic	(27.5,27.75]	-0.9126173	-0.9325350	-0.8966072
phosphate	Atlantic	(27.75,27.85]	-0.9652039	-0.9754349	-0.9568619
phosphate	Atlantic	(27.85,27.95]	-0.9810470	-0.9840491	-0.9771752
phosphate	Atlantic	(27.95,28.05]	-0.9553258	-0.9764974	-0.9430715
phosphate	Atlantic	(28.05,28.1]	-0.9919144	-0.9939382	-0.9902100
phosphate	Atlantic	(28.1,28.15]	-0.9914991	-0.9932035	-0.9893319
phosphate	Atlantic	(28.15,28.2]	-0.9908626	-0.9933056	-0.9882826
phosphate	Atlantic	(28.2, Inf]	-0.9826491	-0.9851704	-0.9781664
phosphate	Indo-Pacific	(-Inf,26]	0.1547554	0.0179743	0.3544091
phosphate	Indo-Pacific	(26,26.5]	-0.5266397	-0.5720366	-0.4643326
phosphate	Indo-Pacific	(26.5,26.75]	-0.7672022	-0.7714885	-0.7599401
phosphate	Indo-Pacific	(26.75,27]	-0.8464956	-0.8526171	-0.8421268
phosphate	Indo-Pacific	(27,27.25]	-0.7384085	-0.7629892	-0.7234317
phosphate	Indo-Pacific	(27.25,27.5]	-0.6018204	-0.7012236	-0.5448925
phosphate	Indo-Pacific	(27.5,27.75]	-0.0788533	-0.3620165	0.2023391
phosphate	Indo-Pacific	(27.75,27.85]	0.4339501	0.1902505	0.6987907
phosphate	Indo-Pacific	(27.85,27.95]	0.4894347	0.3102494	0.7179951
phosphate	Indo-Pacific	(27.95,28.05]	0.4452001	0.2983135	0.5843271
phosphate	Indo-Pacific	(28.05,28.1]	0.4754715	0.3892621	0.5305109
phosphate	Indo-Pacific	(28.1, Inf]	0.5790783	0.4254737	0.6604632
phosphate_star	Atlantic	(-Inf,26]	0.3775007	-0.2093641	0.9033950
phosphate_star	Atlantic	(26,26.5]	0.1594682	0.1488130	0.1744758
phosphate_star	Atlantic	(26.5,26.75]	-0.4551938	-0.8177440	-0.2401334
phosphate_star	Atlantic	(26.75,27]	-0.2241091	-0.3023366	-0.1277630
phosphate_star	Atlantic	(27,27.25]	-0.6493011	-0.7204391	-0.5190109
phosphate_star	Atlantic	(27.25,27.5]	-0.4175848	-0.5210292	-0.3018699
phosphate_star	Atlantic	(27.5,27.75]	-0.7164569	-0.7973849	-0.6300053
phosphate_star	Atlantic	(27.75,27.85]	-0.9208012	-0.9368101	-0.9004077
phosphate_star	Atlantic	(27.85,27.95]	-0.9226269	-0.9415181	-0.9087507
phosphate_star	Atlantic	(27.95,28.05]	-0.8991409	-0.9167477	-0.8825482
phosphate_star	Atlantic	(28.05,28.1]	-0.9624983	-0.9733751	-0.9504331
phosphate_star	Atlantic	(28.1,28.15]	-0.9687742	-0.9774866	-0.9591083
phosphate_star	Atlantic	(28.15,28.2]	-0.9791949	-0.9808560	-0.9769643
phosphate_star	Atlantic	(28.2, Inf]	-0.9849563	-0.9921452	-0.9794571
phosphate_star	Indo-Pacific	(-Inf,26]	0.1931525	0.0708149	0.3640215
phosphate_star	Indo-Pacific	(26,26.5]	-0.4908262	-0.6308621	-0.3981005
phosphate_star	Indo-Pacific	(26.5,26.75]	-0.6340639	-0.7038122	-0.5127913
phosphate_star	Indo-Pacific	(26.75,27]	-0.5928651	-0.6442962	-0.5175782
phosphate_star	Indo-Pacific	(27,27.25]	-0.5460146	-0.6180228	-0.4647284
phosphate_star	Indo-Pacific	(27.25,27.5]	-0.5358448	-0.5502667	-0.5104672
phosphate_star	Indo-Pacific	(27.5,27.75]	-0.1594939	-0.3201803	-0.0574489
phosphate_star	Indo-Pacific	(27.75,27.85]	0.3872288	0.1099466	0.6489299
phosphate_star	Indo-Pacific	(27.85,27.95]	0.3273475	0.2902077	0.3554941
phosphate_star	Indo-Pacific	(27.95,28.05]	0.4080450	0.3419015	0.4685807
phosphate_star	Indo-Pacific	(28.05,28.1]	0.3992030	0.3020756	0.4609918
phosphate_star	Indo-Pacific	(28.1, Inf]	-0.2448297	-0.3288179	-0.1984223
sal	Atlantic	(-Inf,26]	0.3510057	-0.0222728	0.7131786
sal	Atlantic	(26,26.5]	-0.0273917	-0.1046881	0.1189186
sal	Atlantic	(26.5,26.75]	0.1812899	-0.1171095	0.6292443
sal	Atlantic	(26.75,27]	-0.3603694	-0.4469446	-0.2489857
sal	Atlantic	(27,27.25]	0.0867467	-0.1386413	0.3024599
sal	Atlantic	(27.25,27.5]	-0.4934994	-0.6122420	-0.3467463
sal	Atlantic	(27.5,27.75]	-0.3760498	-0.5772040	-0.2492680
sal	Atlantic	(27.75,27.85]	0.2267417	0.0882568	0.3294182
sal	Atlantic	(27.85,27.95]	0.4296814	0.2816427	0.5520281
sal	Atlantic	(27.95,28.05]	0.4765639	0.3996373	0.6047733
sal	Atlantic	(28.05,28.1]	0.8450675	0.8006553	0.8938818
sal	Atlantic	(28.1,28.15]	0.9103366	0.8887199	0.9234653
sal	Atlantic	(28.15,28.2]	0.8924450	0.8691655	0.9241490
sal	Atlantic	(28.2, Inf]	0.8818783	0.8139010	0.9195349
sal	Indo-Pacific	(-Inf,26]	0.0670918	-0.1947065	0.3944294
sal	Indo-Pacific	(26,26.5]	0.2512179	0.0843724	0.3704701
sal	Indo-Pacific	(26.5,26.75]	0.2279591	-0.2845319	0.4848458
sal	Indo-Pacific	(26.75,27]	0.0681430	-0.4549299	0.3418159
sal	Indo-Pacific	(27,27.25]	0.1139338	-0.1678838	0.2790301
sal	Indo-Pacific	(27.25,27.5]	0.0706883	-0.1084004	0.1986374
sal	Indo-Pacific	(27.5,27.75]	-0.1637963	-0.3102739	0.0157012
sal	Indo-Pacific	(27.75,27.85]	0.1929901	-0.0205494	0.5299647
sal	Indo-Pacific	(27.85,27.95]	0.2426994	-0.0064537	0.6642341
sal	Indo-Pacific	(27.95,28.05]	-0.0819930	-0.1213950	-0.0509088
sal	Indo-Pacific	(28.05,28.1]	0.0342075	-0.1187160	0.1458514
sal	Indo-Pacific	(28.1, Inf]	0.2104314	0.0773075	0.2809502
silicate	Atlantic	(-Inf,26]	-0.4448072	-0.8146090	-0.0650397
silicate	Atlantic	(26,26.5]	-0.5322229	-0.7479114	-0.4119186
silicate	Atlantic	(26.5,26.75]	-0.4399795	-0.6074193	-0.2494123
silicate	Atlantic	(26.75,27]	-0.5757934	-0.6496925	-0.5160466
silicate	Atlantic	(27,27.25]	-0.8389724	-0.8973829	-0.8083721
silicate	Atlantic	(27.25,27.5]	-0.9010815	-0.9016283	-0.9007752
silicate	Atlantic	(27.5,27.75]	-0.9039621	-0.9293232	-0.8867997
silicate	Atlantic	(27.75,27.85]	-0.9399890	-0.9438907	-0.9380102
silicate	Atlantic	(27.85,27.95]	-0.9294655	-0.9368952	-0.9242819
silicate	Atlantic	(27.95,28.05]	-0.8765542	-0.8963248	-0.8464735
silicate	Atlantic	(28.05,28.1]	-0.9435952	-0.9649523	-0.9313483
silicate	Atlantic	(28.1,28.15]	-0.9558885	-0.9724503	-0.9463790
silicate	Atlantic	(28.15,28.2]	-0.9431496	-0.9615813	-0.9315237
silicate	Atlantic	(28.2, Inf]	-0.8945622	-0.9471051	-0.8516166
silicate	Indo-Pacific	(-Inf,26]	0.0509929	-0.2498371	0.2971217
silicate	Indo-Pacific	(26,26.5]	-0.6181200	-0.6407573	-0.5935675
silicate	Indo-Pacific	(26.5,26.75]	-0.7565962	-0.7790768	-0.7345416
silicate	Indo-Pacific	(26.75,27]	-0.7247068	-0.7382447	-0.7140962
silicate	Indo-Pacific	(27,27.25]	-0.6051600	-0.6368986	-0.5648707
silicate	Indo-Pacific	(27.25,27.5]	-0.4656681	-0.5634370	-0.3927353
silicate	Indo-Pacific	(27.5,27.75]	0.0177767	-0.2416977	0.2895039
silicate	Indo-Pacific	(27.75,27.85]	0.5102277	0.2990799	0.7578697
silicate	Indo-Pacific	(27.85,27.95]	0.5459649	0.3773763	0.7780642
silicate	Indo-Pacific	(27.95,28.05]	0.4857583	0.3269805	0.6531144
silicate	Indo-Pacific	(28.05,28.1]	0.5091712	0.4054824	0.5651383
silicate	Indo-Pacific	(28.1, Inf]	0.5694604	0.4532329	0.6460178
temp	Atlantic	(-Inf,26]	-0.4009866	-0.8755378	0.1405779
temp	Atlantic	(26,26.5]	-0.2144872	-0.3136847	-0.0690166
temp	Atlantic	(26.5,26.75]	0.1668599	-0.1194224	0.6220576
temp	Atlantic	(26.75,27]	-0.3531624	-0.4253686	-0.2362453
temp	Atlantic	(27,27.25]	0.0963823	-0.1386305	0.3223554
temp	Atlantic	(27.25,27.5]	-0.5205563	-0.6281083	-0.3898671
temp	Atlantic	(27.5,27.75]	-0.3758486	-0.5745607	-0.2652682
temp	Atlantic	(27.75,27.85]	0.3210245	0.2336377	0.3948292
temp	Atlantic	(27.85,27.95]	0.4792520	0.3814111	0.5727536
temp	Atlantic	(27.95,28.05]	0.4939448	0.4160899	0.6023274
temp	Atlantic	(28.05,28.1]	0.7505979	0.6327533	0.8421370
temp	Atlantic	(28.1,28.15]	0.8223982	0.7637722	0.8618071
temp	Atlantic	(28.15,28.2]	0.8569736	0.8234563	0.8953372
temp	Atlantic	(28.2, Inf]	0.8840470	0.8086601	0.9352880
temp	Indo-Pacific	(-Inf,26]	-0.4828186	-0.5513790	-0.4445620
temp	Indo-Pacific	(26,26.5]	0.1772769	-0.0057334	0.3098112
temp	Indo-Pacific	(26.5,26.75]	0.1710268	-0.3712350	0.4485173
temp	Indo-Pacific	(26.75,27]	0.0165363	-0.5081548	0.2815208
temp	Indo-Pacific	(27,27.25]	0.1008421	-0.1839161	0.2629317
temp	Indo-Pacific	(27.25,27.5]	0.1836989	-0.0020025	0.3115099
temp	Indo-Pacific	(27.5,27.75]	0.0628341	-0.0209449	0.2110808
temp	Indo-Pacific	(27.75,27.85]	0.1571779	-0.0006385	0.4558519
temp	Indo-Pacific	(27.85,27.95]	0.1455379	-0.0501197	0.5181938
temp	Indo-Pacific	(27.95,28.05]	-0.1596594	-0.2198444	-0.1270579
temp	Indo-Pacific	(28.05,28.1]	-0.0787150	-0.1747524	0.0249726
temp	Indo-Pacific	(28.1, Inf]	0.3657952	0.1694128	0.4945522

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