eMLR - assumption testing

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Last updated: 2021-03-12

Checks: 7 0

Knit directory: emlr_mod_v_XXX/

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html	ac99ae5	jens-daniel-mueller	2021-01-29	code review
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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
9dbf5bd	Donghe-Zhu	2021-03-11
a49df30	Donghe-Zhu	2021-03-11
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
2b6c392	Donghe-Zhu	2021-03-10
9f58753	Donghe-Zhu	2021-03-10
9d5a62c	Donghe-Zhu	2021-03-10
5d1e70b	Donghe-Zhu	2021-03-10
2093979	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
17f1c4a	Donghe-Zhu	2021-03-09
02f7242	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
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c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
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54d5b5b	Donghe-Zhu	2021-02-27
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5937141	Donghe-Zhu	2021-02-27
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f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
354c224	Donghe-Zhu	2021-02-24
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57f701e	Donghe-Zhu	2021-02-24
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4469a0c	Donghe-Zhu	2021-02-13
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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
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865b582	Donghe-Zhu	2021-01-31
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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
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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
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1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
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
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
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]	0.9390182	0.8861831	0.9765116
aou + phosphate	Atlantic	(26,26.5]	0.8676733	0.8384543	0.8851070
aou + phosphate	Atlantic	(26.5,26.75]	0.9011692	0.8682058	0.9223061
aou + phosphate	Atlantic	(26.75,27]	0.9510434	0.9376133	0.9601405
aou + phosphate	Atlantic	(27,27.25]	0.9236325	0.9136479	0.9320651
aou + phosphate	Atlantic	(27.25,27.5]	0.8931355	0.8811097	0.9057946
aou + phosphate	Atlantic	(27.5,27.75]	0.7873622	0.7244758	0.8387276
aou + phosphate	Atlantic	(27.75,27.85]	0.5923103	0.4807511	0.6809884
aou + phosphate	Atlantic	(27.85,27.95]	0.6164473	0.5154427	0.7204240
aou + phosphate	Atlantic	(27.95,28.05]	0.7763745	0.7311941	0.8654608
aou + phosphate	Atlantic	(28.05,28.1]	0.9327916	0.9153903	0.9556949
aou + phosphate	Atlantic	(28.1,28.15]	0.9656543	0.9548220	0.9712060
aou + phosphate	Atlantic	(28.15,28.2]	0.9755342	0.9664194	0.9849946
aou + phosphate	Atlantic	(28.2, Inf]	0.9070463	0.8583078	0.9596938
aou + phosphate	Indo-Pacific	(-Inf,26]	0.9492707	0.9386235	0.9562952
aou + phosphate	Indo-Pacific	(26,26.5]	0.9563434	0.9550102	0.9571806
aou + phosphate	Indo-Pacific	(26.5,26.75]	0.9647403	0.9544743	0.9784426
aou + phosphate	Indo-Pacific	(26.75,27]	0.9630601	0.9418230	0.9791623
aou + phosphate	Indo-Pacific	(27,27.25]	0.9714907	0.9483979	0.9867663
aou + phosphate	Indo-Pacific	(27.25,27.5]	0.9786314	0.9708069	0.9871829
aou + phosphate	Indo-Pacific	(27.5,27.75]	0.9836939	0.9758763	0.9905384
aou + phosphate	Indo-Pacific	(27.75,27.85]	0.9920107	0.9882475	0.9947099
aou + phosphate	Indo-Pacific	(27.85,27.95]	0.9939645	0.9931333	0.9951298
aou + phosphate	Indo-Pacific	(27.95,28.05]	0.9960385	0.9952680	0.9966815
aou + phosphate	Indo-Pacific	(28.05,28.1]	0.9950733	0.9939650	0.9961238
aou + phosphate	Indo-Pacific	(28.1, Inf]	0.9878825	0.9823308	0.9931032
aou + phosphate_star	Atlantic	(-Inf,26]	0.2409952	0.0907564	0.3520535
aou + phosphate_star	Atlantic	(26,26.5]	0.3225743	0.2376359	0.3783900
aou + phosphate_star	Atlantic	(26.5,26.75]	0.1958178	0.1076892	0.3467163
aou + phosphate_star	Atlantic	(26.75,27]	0.0311130	-0.1451818	0.2786633
aou + phosphate_star	Atlantic	(27,27.25]	0.0707423	0.0169395	0.1694662
aou + phosphate_star	Atlantic	(27.25,27.5]	0.0311351	-0.0375428	0.0812615
aou + phosphate_star	Atlantic	(27.5,27.75]	0.1782702	0.0930599	0.2698135
aou + phosphate_star	Atlantic	(27.75,27.85]	0.1223204	-0.0168719	0.2263003
aou + phosphate_star	Atlantic	(27.85,27.95]	0.2522601	0.1451633	0.3609061
aou + phosphate_star	Atlantic	(27.95,28.05]	0.5464893	0.4825459	0.6582577
aou + phosphate_star	Atlantic	(28.05,28.1]	0.8357769	0.7980795	0.8768759
aou + phosphate_star	Atlantic	(28.1,28.15]	0.9014969	0.8735135	0.9184847
aou + phosphate_star	Atlantic	(28.15,28.2]	0.9219112	0.8954013	0.9489546
aou + phosphate_star	Atlantic	(28.2, Inf]	0.8188522	0.7466988	0.8978529
aou + phosphate_star	Indo-Pacific	(-Inf,26]	0.5074615	0.4237458	0.5944573
aou + phosphate_star	Indo-Pacific	(26,26.5]	0.4312255	0.3430047	0.5328778
aou + phosphate_star	Indo-Pacific	(26.5,26.75]	0.4205944	0.2452898	0.6663270
aou + phosphate_star	Indo-Pacific	(26.75,27]	0.5929532	0.4832320	0.6871381
aou + phosphate_star	Indo-Pacific	(27,27.25]	0.6682739	0.6043182	0.7514471
aou + phosphate_star	Indo-Pacific	(27.25,27.5]	0.4674878	0.3442303	0.5451794
aou + phosphate_star	Indo-Pacific	(27.5,27.75]	0.0505371	-0.0553382	0.1067257
aou + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.2343578	-0.2460814	-0.2214458
aou + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.3365739	-0.5164359	-0.1510260
aou + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.3121834	-0.6400576	-0.1054336
aou + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.1946607	-0.4626091	-0.0328146
aou + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.4287832	-0.5642135	-0.3101030
aou + silicate	Atlantic	(-Inf,26]	0.0971944	-0.0955795	0.2011889
aou + silicate	Atlantic	(26,26.5]	0.3163166	0.2008893	0.4911423
aou + silicate	Atlantic	(26.5,26.75]	0.6095508	0.5757990	0.6529146
aou + silicate	Atlantic	(26.75,27]	0.7950195	0.7608808	0.8258336
aou + silicate	Atlantic	(27,27.25]	0.6434113	0.6138355	0.6738681
aou + silicate	Atlantic	(27.25,27.5]	0.6363892	0.5759453	0.6675014
aou + silicate	Atlantic	(27.5,27.75]	0.5207222	0.4438708	0.6218304
aou + silicate	Atlantic	(27.75,27.85]	0.3416961	0.3208538	0.3666619
aou + silicate	Atlantic	(27.85,27.95]	0.4051858	0.3894662	0.4222746
aou + silicate	Atlantic	(27.95,28.05]	0.6327480	0.6209845	0.6508655
aou + silicate	Atlantic	(28.05,28.1]	0.8765192	0.8578990	0.8932828
aou + silicate	Atlantic	(28.1,28.15]	0.9401433	0.9232320	0.9572885
aou + silicate	Atlantic	(28.15,28.2]	0.9517412	0.9374090	0.9657994
aou + silicate	Atlantic	(28.2, Inf]	0.6706149	0.5153662	0.8586750
aou + silicate	Indo-Pacific	(-Inf,26]	0.7923421	0.7453151	0.8688806
aou + silicate	Indo-Pacific	(26,26.5]	0.7879949	0.7598011	0.8156087
aou + silicate	Indo-Pacific	(26.5,26.75]	0.7840187	0.7510331	0.8429442
aou + silicate	Indo-Pacific	(26.75,27]	0.8565482	0.8319142	0.8980245
aou + silicate	Indo-Pacific	(27,27.25]	0.9078227	0.8790912	0.9445648
aou + silicate	Indo-Pacific	(27.25,27.5]	0.9281758	0.9072189	0.9590915
aou + silicate	Indo-Pacific	(27.5,27.75]	0.9425669	0.9293191	0.9658733
aou + silicate	Indo-Pacific	(27.75,27.85]	0.9656588	0.9579936	0.9794819
aou + silicate	Indo-Pacific	(27.85,27.95]	0.9749043	0.9674108	0.9807868
aou + silicate	Indo-Pacific	(27.95,28.05]	0.9830262	0.9746922	0.9893391
aou + silicate	Indo-Pacific	(28.05,28.1]	0.9902117	0.9863109	0.9942351
aou + silicate	Indo-Pacific	(28.1, Inf]	0.8665481	0.8339183	0.8937742
oxygen + aou	Atlantic	(-Inf,26]	-0.9164797	-0.9708297	-0.8848832
oxygen + aou	Atlantic	(26,26.5]	-0.9526147	-0.9615985	-0.9480112
oxygen + aou	Atlantic	(26.5,26.75]	-0.9802398	-0.9872478	-0.9676050
oxygen + aou	Atlantic	(26.75,27]	-0.9906566	-0.9921983	-0.9884354
oxygen + aou	Atlantic	(27,27.25]	-0.9921269	-0.9931350	-0.9907805
oxygen + aou	Atlantic	(27.25,27.5]	-0.9763082	-0.9798534	-0.9716033
oxygen + aou	Atlantic	(27.5,27.75]	-0.9708149	-0.9788016	-0.9639066
oxygen + aou	Atlantic	(27.75,27.85]	-0.9695912	-0.9789778	-0.9579756
oxygen + aou	Atlantic	(27.85,27.95]	-0.9412797	-0.9629555	-0.9167343
oxygen + aou	Atlantic	(27.95,28.05]	-0.9003725	-0.9490205	-0.8652759
oxygen + aou	Atlantic	(28.05,28.1]	-0.9295664	-0.9707459	-0.9003066
oxygen + aou	Atlantic	(28.1,28.15]	-0.9632577	-0.9799740	-0.9548111
oxygen + aou	Atlantic	(28.15,28.2]	-0.9776849	-0.9851716	-0.9720881
oxygen + aou	Atlantic	(28.2, Inf]	-0.9099694	-0.9701413	-0.8729537
oxygen + aou	Indo-Pacific	(-Inf,26]	-0.9434945	-0.9540969	-0.9284093
oxygen + aou	Indo-Pacific	(26,26.5]	-0.9709943	-0.9831385	-0.9554683
oxygen + aou	Indo-Pacific	(26.5,26.75]	-0.9825293	-0.9834989	-0.9812771
oxygen + aou	Indo-Pacific	(26.75,27]	-0.9732499	-0.9786386	-0.9644252
oxygen + aou	Indo-Pacific	(27,27.25]	-0.9835420	-0.9889830	-0.9779982
oxygen + aou	Indo-Pacific	(27.25,27.5]	-0.9938436	-0.9962295	-0.9925445
oxygen + aou	Indo-Pacific	(27.5,27.75]	-0.9962552	-0.9975444	-0.9954690
oxygen + aou	Indo-Pacific	(27.75,27.85]	-0.9977213	-0.9985887	-0.9970049
oxygen + aou	Indo-Pacific	(27.85,27.95]	-0.9982244	-0.9987027	-0.9979434
oxygen + aou	Indo-Pacific	(27.95,28.05]	-0.9987684	-0.9993595	-0.9980091
oxygen + aou	Indo-Pacific	(28.05,28.1]	-0.9989190	-0.9994807	-0.9981335
oxygen + aou	Indo-Pacific	(28.1, Inf]	-0.9985904	-0.9991994	-0.9976600
oxygen + phosphate	Atlantic	(-Inf,26]	-0.8962118	-0.9433473	-0.8291394
oxygen + phosphate	Atlantic	(26,26.5]	-0.7213930	-0.7479607	-0.6793615
oxygen + phosphate	Atlantic	(26.5,26.75]	-0.8137042	-0.8584417	-0.7291392
oxygen + phosphate	Atlantic	(26.75,27]	-0.9163893	-0.9359452	-0.8859341
oxygen + phosphate	Atlantic	(27,27.25]	-0.8829435	-0.8971905	-0.8734803
oxygen + phosphate	Atlantic	(27.25,27.5]	-0.8376979	-0.8408598	-0.8321804
oxygen + phosphate	Atlantic	(27.5,27.75]	-0.7092384	-0.7418656	-0.6473989
oxygen + phosphate	Atlantic	(27.75,27.85]	-0.4142889	-0.5472500	-0.2468835
oxygen + phosphate	Atlantic	(27.85,27.95]	-0.3415957	-0.5257739	-0.1556080
oxygen + phosphate	Atlantic	(27.95,28.05]	-0.4493551	-0.6825508	-0.3115847
oxygen + phosphate	Atlantic	(28.05,28.1]	-0.7436444	-0.8648907	-0.6809747
oxygen + phosphate	Atlantic	(28.1,28.15]	-0.8677946	-0.9106561	-0.8287500
oxygen + phosphate	Atlantic	(28.15,28.2]	-0.9181110	-0.9318463	-0.9043972
oxygen + phosphate	Atlantic	(28.2, Inf]	-0.7078119	-0.8849874	-0.6010665
oxygen + phosphate	Indo-Pacific	(-Inf,26]	-0.8259488	-0.8457110	-0.7869345
oxygen + phosphate	Indo-Pacific	(26,26.5]	-0.8780978	-0.8991240	-0.8374743
oxygen + phosphate	Indo-Pacific	(26.5,26.75]	-0.9208977	-0.9359750	-0.8993907
oxygen + phosphate	Indo-Pacific	(26.75,27]	-0.9189613	-0.9345518	-0.8980119
oxygen + phosphate	Indo-Pacific	(27,27.25]	-0.9477154	-0.9590235	-0.9325483
oxygen + phosphate	Indo-Pacific	(27.25,27.5]	-0.9656416	-0.9743754	-0.9484257
oxygen + phosphate	Indo-Pacific	(27.5,27.75]	-0.9752953	-0.9816193	-0.9650787
oxygen + phosphate	Indo-Pacific	(27.75,27.85]	-0.9885446	-0.9925622	-0.9833529
oxygen + phosphate	Indo-Pacific	(27.85,27.95]	-0.9890506	-0.9919231	-0.9875373
oxygen + phosphate	Indo-Pacific	(27.95,28.05]	-0.9913356	-0.9937530	-0.9883260
oxygen + phosphate	Indo-Pacific	(28.05,28.1]	-0.9908169	-0.9936143	-0.9874576
oxygen + phosphate	Indo-Pacific	(28.1, Inf]	-0.9827780	-0.9912919	-0.9733160
oxygen + phosphate_star	Atlantic	(-Inf,26]	0.0053656	-0.1888279	0.1108646
oxygen + phosphate_star	Atlantic	(26,26.5]	-0.0654240	-0.1217000	0.0152794
oxygen + phosphate_star	Atlantic	(26.5,26.75]	-0.0237763	-0.1142548	0.0409333
oxygen + phosphate_star	Atlantic	(26.75,27]	0.0741791	-0.1483434	0.2339684
oxygen + phosphate_star	Atlantic	(27,27.25]	0.0306376	-0.0579565	0.0825277
oxygen + phosphate_star	Atlantic	(27.25,27.5]	0.1085531	0.0793845	0.1616349
oxygen + phosphate_star	Atlantic	(27.5,27.75]	-0.0384114	-0.0893943	0.0347530
oxygen + phosphate_star	Atlantic	(27.75,27.85]	0.0868812	-0.0541594	0.2708772
oxygen + phosphate_star	Atlantic	(27.85,27.95]	0.0620396	-0.1151145	0.2411670
oxygen + phosphate_star	Atlantic	(27.95,28.05]	-0.1539012	-0.4068889	-0.0134026
oxygen + phosphate_star	Atlantic	(28.05,28.1]	-0.5860747	-0.7441232	-0.4976504
oxygen + phosphate_star	Atlantic	(28.1,28.15]	-0.7605440	-0.8202049	-0.6947368
oxygen + phosphate_star	Atlantic	(28.15,28.2]	-0.8319635	-0.8653331	-0.8130320
oxygen + phosphate_star	Atlantic	(28.2, Inf]	-0.5639532	-0.7875055	-0.4218199
oxygen + phosphate_star	Indo-Pacific	(-Inf,26]	-0.2288529	-0.3391599	-0.1611179
oxygen + phosphate_star	Indo-Pacific	(26,26.5]	-0.2323428	-0.2723981	-0.1794202
oxygen + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.2837919	-0.5197406	-0.1525211
oxygen + phosphate_star	Indo-Pacific	(26.75,27]	-0.4520042	-0.5331769	-0.2919589
oxygen + phosphate_star	Indo-Pacific	(27,27.25]	-0.5777181	-0.6567157	-0.4592585
oxygen + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.4064357	-0.5032951	-0.2338729
oxygen + phosphate_star	Indo-Pacific	(27.5,27.75]	0.0008216	-0.1030078	0.1464830
oxygen + phosphate_star	Indo-Pacific	(27.75,27.85]	0.2668025	0.2113042	0.2998597
oxygen + phosphate_star	Indo-Pacific	(27.85,27.95]	0.3783734	0.2112269	0.5385371
oxygen + phosphate_star	Indo-Pacific	(27.95,28.05]	0.3532396	0.1634526	0.6643583
oxygen + phosphate_star	Indo-Pacific	(28.05,28.1]	0.2318269	0.0856698	0.4862922
oxygen + phosphate_star	Indo-Pacific	(28.1, Inf]	0.4593252	0.3569081	0.5807824
oxygen + silicate	Atlantic	(-Inf,26]	0.1923724	-0.0139010	0.4482681
oxygen + silicate	Atlantic	(26,26.5]	-0.3845332	-0.5542104	-0.2558677
oxygen + silicate	Atlantic	(26.5,26.75]	-0.6288397	-0.6992020	-0.5779186
oxygen + silicate	Atlantic	(26.75,27]	-0.7705622	-0.7890184	-0.7421973
oxygen + silicate	Atlantic	(27,27.25]	-0.5817296	-0.5973786	-0.5551832
oxygen + silicate	Atlantic	(27.25,27.5]	-0.5886670	-0.6327053	-0.5279703
oxygen + silicate	Atlantic	(27.5,27.75]	-0.4298218	-0.5002895	-0.3610781
oxygen + silicate	Atlantic	(27.75,27.85]	-0.1393545	-0.2019675	-0.0694933
oxygen + silicate	Atlantic	(27.85,27.95]	-0.0954773	-0.1805282	-0.0040320
oxygen + silicate	Atlantic	(27.95,28.05]	-0.2544066	-0.3932928	-0.1620046
oxygen + silicate	Atlantic	(28.05,28.1]	-0.6512905	-0.7423632	-0.5890578
oxygen + silicate	Atlantic	(28.1,28.15]	-0.8269359	-0.8618609	-0.7767711
oxygen + silicate	Atlantic	(28.15,28.2]	-0.9166841	-0.9391998	-0.8992364
oxygen + silicate	Atlantic	(28.2, Inf]	-0.4861587	-0.8073352	-0.2644790
oxygen + silicate	Indo-Pacific	(-Inf,26]	-0.6274611	-0.7090276	-0.5352880
oxygen + silicate	Indo-Pacific	(26,26.5]	-0.6696409	-0.6860021	-0.6593752
oxygen + silicate	Indo-Pacific	(26.5,26.75]	-0.6947170	-0.7486722	-0.6376973
oxygen + silicate	Indo-Pacific	(26.75,27]	-0.7701499	-0.8156870	-0.7221291
oxygen + silicate	Indo-Pacific	(27,27.25]	-0.8588826	-0.9012009	-0.8174159
oxygen + silicate	Indo-Pacific	(27.25,27.5]	-0.9003364	-0.9368825	-0.8532483
oxygen + silicate	Indo-Pacific	(27.5,27.75]	-0.9260325	-0.9508058	-0.8981115
oxygen + silicate	Indo-Pacific	(27.75,27.85]	-0.9592428	-0.9716289	-0.9404557
oxygen + silicate	Indo-Pacific	(27.85,27.95]	-0.9669894	-0.9762564	-0.9521227
oxygen + silicate	Indo-Pacific	(27.95,28.05]	-0.9755142	-0.9854262	-0.9621138
oxygen + silicate	Indo-Pacific	(28.05,28.1]	-0.9851997	-0.9919278	-0.9777965
oxygen + silicate	Indo-Pacific	(28.1, Inf]	-0.8643994	-0.8984352	-0.8255780
phosphate + phosphate_star	Atlantic	(-Inf,26]	0.4239666	0.2416047	0.5666217
phosphate + phosphate_star	Atlantic	(26,26.5]	0.7375654	0.7233378	0.7498362
phosphate + phosphate_star	Atlantic	(26.5,26.75]	0.5866244	0.4773425	0.7631914
phosphate + phosphate_star	Atlantic	(26.75,27]	0.3191190	0.1233900	0.5901019
phosphate + phosphate_star	Atlantic	(27,27.25]	0.4405980	0.3802229	0.5284588
phosphate + phosphate_star	Atlantic	(27.25,27.5]	0.4516496	0.4127041	0.4741041
phosphate + phosphate_star	Atlantic	(27.5,27.75]	0.7303959	0.7178132	0.7391919
phosphate + phosphate_star	Atlantic	(27.75,27.85]	0.8681377	0.8653795	0.8730923
phosphate + phosphate_star	Atlantic	(27.85,27.95]	0.9144976	0.9054938	0.9211345
phosphate + phosphate_star	Atlantic	(27.95,28.05]	0.9495875	0.9453267	0.9543091
phosphate + phosphate_star	Atlantic	(28.05,28.1]	0.9768278	0.9727909	0.9789160
phosphate + phosphate_star	Atlantic	(28.1,28.15]	0.9824130	0.9782770	0.9856782
phosphate + phosphate_star	Atlantic	(28.15,28.2]	0.9835934	0.9788299	0.9882185
phosphate + phosphate_star	Atlantic	(28.2, Inf]	0.9815059	0.9781593	0.9838945
phosphate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7350618	0.6629284	0.7894297
phosphate + phosphate_star	Indo-Pacific	(26,26.5]	0.6644251	0.5945319	0.7539379
phosphate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.6278582	0.4907032	0.8017016
phosphate + phosphate_star	Indo-Pacific	(26.75,27]	0.7654460	0.6829845	0.8156762
phosphate + phosphate_star	Indo-Pacific	(27,27.25]	0.8072159	0.7489981	0.8434732
phosphate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.6274852	0.5300193	0.6847620
phosphate + phosphate_star	Indo-Pacific	(27.5,27.75]	0.2171508	0.1177669	0.3027401
phosphate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.1205405	-0.1493553	-0.0907428
phosphate + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.2394501	-0.4273111	-0.0547606
phosphate + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.2315746	-0.5767951	-0.0112395
phosphate + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.1014396	-0.3845965	0.0727087
phosphate + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.2911179	-0.4685275	-0.1330283
sal + aou	Atlantic	(-Inf,26]	-0.3456729	-0.4147025	-0.2413586
sal + aou	Atlantic	(26,26.5]	-0.3589013	-0.5374762	-0.2194451
sal + aou	Atlantic	(26.5,26.75]	0.0641847	-0.2598894	0.2435704
sal + aou	Atlantic	(26.75,27]	0.3103288	-0.0294744	0.5672571
sal + aou	Atlantic	(27,27.25]	0.2659298	0.0107022	0.4141876
sal + aou	Atlantic	(27.25,27.5]	0.5448854	0.4697440	0.6672352
sal + aou	Atlantic	(27.5,27.75]	0.5167003	0.5092287	0.5256826
sal + aou	Atlantic	(27.75,27.85]	0.4228707	0.4062117	0.4333242
sal + aou	Atlantic	(27.85,27.95]	0.2117225	0.2003396	0.2175413
sal + aou	Atlantic	(27.95,28.05]	-0.2159197	-0.2608924	-0.1860978
sal + aou	Atlantic	(28.05,28.1]	-0.7328921	-0.7441918	-0.7175710
sal + aou	Atlantic	(28.1,28.15]	-0.8646919	-0.8776739	-0.8415737
sal + aou	Atlantic	(28.15,28.2]	-0.8514950	-0.8818691	-0.8215009
sal + aou	Atlantic	(28.2, Inf]	-0.8817654	-0.8960093	-0.8689173
sal + aou	Indo-Pacific	(-Inf,26]	-0.1513905	-0.2690403	0.0512398
sal + aou	Indo-Pacific	(26,26.5]	-0.2217355	-0.3938641	-0.0503267
sal + aou	Indo-Pacific	(26.5,26.75]	-0.1449542	-0.5300897	0.2170952
sal + aou	Indo-Pacific	(26.75,27]	-0.3125349	-0.6200017	0.0106594
sal + aou	Indo-Pacific	(27,27.25]	-0.5752995	-0.7113722	-0.4940972
sal + aou	Indo-Pacific	(27.25,27.5]	-0.4524452	-0.6189689	-0.2485495
sal + aou	Indo-Pacific	(27.5,27.75]	0.0092735	-0.1197770	0.1987127
sal + aou	Indo-Pacific	(27.75,27.85]	0.4234159	0.3684049	0.4627219
sal + aou	Indo-Pacific	(27.85,27.95]	0.6142851	0.5524583	0.6649917
sal + aou	Indo-Pacific	(27.95,28.05]	0.7819772	0.6653102	0.9074126
sal + aou	Indo-Pacific	(28.05,28.1]	0.8386331	0.7289826	0.9348972
sal + aou	Indo-Pacific	(28.1, Inf]	0.5375893	0.4915114	0.6154299
sal + oxygen	Atlantic	(-Inf,26]	0.0418010	-0.1885701	0.2035437
sal + oxygen	Atlantic	(26,26.5]	0.0792547	-0.0899063	0.3043585
sal + oxygen	Atlantic	(26.5,26.75]	-0.2488601	-0.4000187	0.0119735
sal + oxygen	Atlantic	(26.75,27]	-0.4299912	-0.6634067	-0.1185883
sal + oxygen	Atlantic	(27,27.25]	-0.3781632	-0.5141722	-0.1287323
sal + oxygen	Atlantic	(27.25,27.5]	-0.7073116	-0.8046245	-0.6319974
sal + oxygen	Atlantic	(27.5,27.75]	-0.6986804	-0.7276837	-0.6674345
sal + oxygen	Atlantic	(27.75,27.85]	-0.6226327	-0.6632882	-0.6017094
sal + oxygen	Atlantic	(27.85,27.95]	-0.5153278	-0.5813158	-0.4636718
sal + oxygen	Atlantic	(27.95,28.05]	-0.2084533	-0.2759606	-0.1038111
sal + oxygen	Atlantic	(28.05,28.1]	0.4437664	0.3764623	0.5676742
sal + oxygen	Atlantic	(28.1,28.15]	0.7069772	0.6492865	0.7721617
sal + oxygen	Atlantic	(28.15,28.2]	0.7377376	0.7160958	0.7681680
sal + oxygen	Atlantic	(28.2, Inf]	0.6499938	0.5831965	0.7473534
sal + oxygen	Indo-Pacific	(-Inf,26]	-0.1021846	-0.2397090	-0.0158649
sal + oxygen	Indo-Pacific	(26,26.5]	0.0022458	-0.1264244	0.1160964
sal + oxygen	Indo-Pacific	(26.5,26.75]	-0.0279298	-0.3835721	0.3601115
sal + oxygen	Indo-Pacific	(26.75,27]	0.1014406	-0.2683079	0.4499101
sal + oxygen	Indo-Pacific	(27,27.25]	0.4240206	0.3328879	0.6027332
sal + oxygen	Indo-Pacific	(27.25,27.5]	0.3604264	0.1348285	0.5550558
sal + oxygen	Indo-Pacific	(27.5,27.75]	-0.0814534	-0.2812893	0.0635906
sal + oxygen	Indo-Pacific	(27.75,27.85]	-0.4792887	-0.5045210	-0.4360786
sal + oxygen	Indo-Pacific	(27.85,27.95]	-0.6553226	-0.6975692	-0.6002620
sal + oxygen	Indo-Pacific	(27.95,28.05]	-0.8054787	-0.9176458	-0.7041139
sal + oxygen	Indo-Pacific	(28.05,28.1]	-0.8592164	-0.9430090	-0.7651189
sal + oxygen	Indo-Pacific	(28.1, Inf]	-0.5558805	-0.6293611	-0.5189678
sal + phosphate	Atlantic	(-Inf,26]	-0.1696551	-0.3507985	0.0983411
sal + phosphate	Atlantic	(26,26.5]	-0.6223796	-0.8228631	-0.4938026
sal + phosphate	Atlantic	(26.5,26.75]	-0.2824236	-0.6561220	-0.0787438
sal + phosphate	Atlantic	(26.75,27]	0.1131170	-0.3104999	0.4236732
sal + phosphate	Atlantic	(27,27.25]	-0.0236985	-0.3280026	0.1514033
sal + phosphate	Atlantic	(27.25,27.5]	0.3185423	0.2253352	0.4552915
sal + phosphate	Atlantic	(27.5,27.75]	0.2051708	0.1721781	0.2303954
sal + phosphate	Atlantic	(27.75,27.85]	-0.2861983	-0.4065500	-0.1824864
sal + phosphate	Atlantic	(27.85,27.95]	-0.5295090	-0.6317168	-0.4179244
sal + phosphate	Atlantic	(27.95,28.05]	-0.6890764	-0.7801293	-0.5588480
sal + phosphate	Atlantic	(28.05,28.1]	-0.9049752	-0.9234715	-0.8739903
sal + phosphate	Atlantic	(28.1,28.15]	-0.9485974	-0.9507158	-0.9447291
sal + phosphate	Atlantic	(28.15,28.2]	-0.9048085	-0.9223402	-0.8800849
sal + phosphate	Atlantic	(28.2, Inf]	-0.9115993	-0.9331790	-0.8878759
sal + phosphate	Indo-Pacific	(-Inf,26]	-0.3060249	-0.4458662	-0.1488436
sal + phosphate	Indo-Pacific	(26,26.5]	-0.4059887	-0.6037070	-0.2779622
sal + phosphate	Indo-Pacific	(26.5,26.75]	-0.2861332	-0.6638783	0.1669842
sal + phosphate	Indo-Pacific	(26.75,27]	-0.3852041	-0.7340134	0.1048566
sal + phosphate	Indo-Pacific	(27,27.25]	-0.6003084	-0.7795500	-0.3901300
sal + phosphate	Indo-Pacific	(27.25,27.5]	-0.4837056	-0.6768247	-0.3713269
sal + phosphate	Indo-Pacific	(27.5,27.75]	-0.0076073	-0.1778043	0.0958219
sal + phosphate	Indo-Pacific	(27.75,27.85]	0.4086241	0.3457083	0.4680756
sal + phosphate	Indo-Pacific	(27.85,27.95]	0.5822933	0.4834446	0.6602704
sal + phosphate	Indo-Pacific	(27.95,28.05]	0.7443753	0.6146316	0.8824051
sal + phosphate	Indo-Pacific	(28.05,28.1]	0.8054994	0.6859437	0.9118193
sal + phosphate	Indo-Pacific	(28.1, Inf]	0.5125010	0.4604009	0.6088308
sal + phosphate_star	Atlantic	(-Inf,26]	-0.2949934	-0.4572826	-0.1467068
sal + phosphate_star	Atlantic	(26,26.5]	-0.8168807	-0.8348406	-0.7877456
sal + phosphate_star	Atlantic	(26.5,26.75]	-0.8612075	-0.9411470	-0.8037705
sal + phosphate_star	Atlantic	(26.75,27]	-0.7619147	-0.8684661	-0.6997765
sal + phosphate_star	Atlantic	(27,27.25]	-0.7837601	-0.9129790	-0.7035563
sal + phosphate_star	Atlantic	(27.25,27.5]	-0.5785670	-0.6125900	-0.5114466
sal + phosphate_star	Atlantic	(27.5,27.75]	-0.3873772	-0.3945867	-0.3739303
sal + phosphate_star	Atlantic	(27.75,27.85]	-0.6514755	-0.7461896	-0.5779727
sal + phosphate_star	Atlantic	(27.85,27.95]	-0.7849166	-0.8496950	-0.7193653
sal + phosphate_star	Atlantic	(27.95,28.05]	-0.8379618	-0.8981579	-0.7448304
sal + phosphate_star	Atlantic	(28.05,28.1]	-0.9586853	-0.9764163	-0.9321605
sal + phosphate_star	Atlantic	(28.1,28.15]	-0.9755528	-0.9809391	-0.9677890
sal + phosphate_star	Atlantic	(28.15,28.2]	-0.9317313	-0.9499883	-0.9022713
sal + phosphate_star	Atlantic	(28.2, Inf]	-0.8963385	-0.9225592	-0.8556037
sal + phosphate_star	Indo-Pacific	(-Inf,26]	-0.6544374	-0.7643272	-0.5874034
sal + phosphate_star	Indo-Pacific	(26,26.5]	-0.8299278	-0.9233852	-0.7150796
sal + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.7819284	-0.9403302	-0.4805517
sal + phosphate_star	Indo-Pacific	(26.75,27]	-0.6969691	-0.9451898	-0.2050201
sal + phosphate_star	Indo-Pacific	(27,27.25]	-0.7537183	-0.9421940	-0.3867592
sal + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.6096590	-0.8752603	-0.1584209
sal + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.3683887	-0.8429120	0.3444184
sal + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.4801332	-0.9013520	0.1907951
sal + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.6523815	-0.8058244	-0.3762233
sal + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.6776927	-0.8072659	-0.5845170
sal + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.5311243	-0.6534879	-0.4352635
sal + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.4223146	-0.4585591	-0.3687580
sal + silicate	Atlantic	(-Inf,26]	-0.8909453	-0.9465867	-0.7900439
sal + silicate	Atlantic	(26,26.5]	0.0612718	-0.0775793	0.1778448
sal + silicate	Atlantic	(26.5,26.75]	0.2112895	0.1482499	0.2817613
sal + silicate	Atlantic	(26.75,27]	0.1433431	-0.1714625	0.3496892
sal + silicate	Atlantic	(27,27.25]	-0.2720942	-0.5728839	-0.0733535
sal + silicate	Atlantic	(27.25,27.5]	0.1624471	0.0313294	0.3320550
sal + silicate	Atlantic	(27.5,27.75]	-0.0109449	-0.0270514	0.0060286
sal + silicate	Atlantic	(27.75,27.85]	-0.5255288	-0.5746315	-0.4881578
sal + silicate	Atlantic	(27.85,27.95]	-0.7323390	-0.7623790	-0.7063260
sal + silicate	Atlantic	(27.95,28.05]	-0.8250514	-0.8664503	-0.7873298
sal + silicate	Atlantic	(28.05,28.1]	-0.9503197	-0.9584367	-0.9399680
sal + silicate	Atlantic	(28.1,28.15]	-0.9502833	-0.9552453	-0.9453383
sal + silicate	Atlantic	(28.15,28.2]	-0.7931545	-0.8260237	-0.7607563
sal + silicate	Atlantic	(28.2, Inf]	-0.6280623	-0.7003702	-0.5435063
sal + silicate	Indo-Pacific	(-Inf,26]	-0.5293540	-0.6527953	-0.4316622
sal + silicate	Indo-Pacific	(26,26.5]	-0.5816952	-0.6962735	-0.5135161
sal + silicate	Indo-Pacific	(26.5,26.75]	-0.5275382	-0.7945915	-0.1598681
sal + silicate	Indo-Pacific	(26.75,27]	-0.5506105	-0.8038133	-0.1408960
sal + silicate	Indo-Pacific	(27,27.25]	-0.6855573	-0.8221102	-0.4695419
sal + silicate	Indo-Pacific	(27.25,27.5]	-0.5776340	-0.7348369	-0.4230545
sal + silicate	Indo-Pacific	(27.5,27.75]	-0.0792022	-0.2409676	0.1049765
sal + silicate	Indo-Pacific	(27.75,27.85]	0.3661066	0.2185215	0.5151238
sal + silicate	Indo-Pacific	(27.85,27.95]	0.5470530	0.3800975	0.6888383
sal + silicate	Indo-Pacific	(27.95,28.05]	0.7196157	0.5466113	0.8869033
sal + silicate	Indo-Pacific	(28.05,28.1]	0.7934399	0.6523861	0.9163075
sal + silicate	Indo-Pacific	(28.1, Inf]	0.7587613	0.6872458	0.8559555
sal + temp	Atlantic	(-Inf,26]	0.7395071	0.6474700	0.8704676
sal + temp	Atlantic	(26,26.5]	0.9323964	0.9183549	0.9499563
sal + temp	Atlantic	(26.5,26.75]	0.9759598	0.9703983	0.9803975
sal + temp	Atlantic	(26.75,27]	0.9787858	0.9740294	0.9823861
sal + temp	Atlantic	(27,27.25]	0.9652869	0.9578811	0.9722457
sal + temp	Atlantic	(27.25,27.5]	0.9865150	0.9833656	0.9881525
sal + temp	Atlantic	(27.5,27.75]	0.9688562	0.9622407	0.9775069
sal + temp	Atlantic	(27.75,27.85]	0.9743222	0.9707496	0.9804915
sal + temp	Atlantic	(27.85,27.95]	0.9712166	0.9654174	0.9807476
sal + temp	Atlantic	(27.95,28.05]	0.9600960	0.9428927	0.9703123
sal + temp	Atlantic	(28.05,28.1]	0.9726974	0.9669938	0.9784097
sal + temp	Atlantic	(28.1,28.15]	0.9603964	0.9498280	0.9709340
sal + temp	Atlantic	(28.15,28.2]	0.9507568	0.9215379	0.9683660
sal + temp	Atlantic	(28.2, Inf]	0.9397465	0.9150301	0.9601927
sal + temp	Indo-Pacific	(-Inf,26]	0.6981959	0.5369646	0.8184095
sal + temp	Indo-Pacific	(26,26.5]	0.9434716	0.9056297	0.9651128
sal + temp	Indo-Pacific	(26.5,26.75]	0.9803772	0.9697683	0.9863972
sal + temp	Indo-Pacific	(26.75,27]	0.9815617	0.9780469	0.9836962
sal + temp	Indo-Pacific	(27,27.25]	0.9795474	0.9731162	0.9835574
sal + temp	Indo-Pacific	(27.25,27.5]	0.9291530	0.9143296	0.9437114
sal + temp	Indo-Pacific	(27.5,27.75]	0.8344054	0.7919536	0.8918152
sal + temp	Indo-Pacific	(27.75,27.85]	0.9430629	0.9189333	0.9554213
sal + temp	Indo-Pacific	(27.85,27.95]	0.9308584	0.9237322	0.9371483
sal + temp	Indo-Pacific	(27.95,28.05]	0.9070390	0.8755223	0.9365201
sal + temp	Indo-Pacific	(28.05,28.1]	0.9429198	0.9312596	0.9530366
sal + temp	Indo-Pacific	(28.1, Inf]	0.6232161	0.5558983	0.6894751
silicate + phosphate	Atlantic	(-Inf,26]	-0.0864116	-0.4925249	0.1832264
silicate + phosphate	Atlantic	(26,26.5]	0.0159843	-0.1075953	0.1729903
silicate + phosphate	Atlantic	(26.5,26.75]	0.4963992	0.4744332	0.5216207
silicate + phosphate	Atlantic	(26.75,27]	0.8567564	0.8449088	0.8771842
silicate + phosphate	Atlantic	(27,27.25]	0.8617157	0.8382968	0.8777701
silicate + phosphate	Atlantic	(27.25,27.5]	0.8949700	0.8629531	0.9195839
silicate + phosphate	Atlantic	(27.5,27.75]	0.9155918	0.8966419	0.9334253
silicate + phosphate	Atlantic	(27.75,27.85]	0.9297806	0.9083667	0.9534456
silicate + phosphate	Atlantic	(27.85,27.95]	0.9404903	0.9077022	0.9664744
silicate + phosphate	Atlantic	(27.95,28.05]	0.9494170	0.9158866	0.9682849
silicate + phosphate	Atlantic	(28.05,28.1]	0.9731237	0.9562167	0.9826823
silicate + phosphate	Atlantic	(28.1,28.15]	0.9810012	0.9715407	0.9878349
silicate + phosphate	Atlantic	(28.15,28.2]	0.9669116	0.9630665	0.9724745
silicate + phosphate	Atlantic	(28.2, Inf]	0.8678781	0.8361488	0.9048679
silicate + phosphate	Indo-Pacific	(-Inf,26]	0.8688649	0.8195417	0.9309255
silicate + phosphate	Indo-Pacific	(26,26.5]	0.8810287	0.8729555	0.8957502
silicate + phosphate	Indo-Pacific	(26.5,26.75]	0.8699972	0.8426332	0.9006041
silicate + phosphate	Indo-Pacific	(26.75,27]	0.9126012	0.8875168	0.9320186
silicate + phosphate	Indo-Pacific	(27,27.25]	0.9459232	0.9318404	0.9608538
silicate + phosphate	Indo-Pacific	(27.25,27.5]	0.9605180	0.9486442	0.9752814
silicate + phosphate	Indo-Pacific	(27.5,27.75]	0.9718429	0.9620068	0.9817783
silicate + phosphate	Indo-Pacific	(27.75,27.85]	0.9818206	0.9750288	0.9874261
silicate + phosphate	Indo-Pacific	(27.85,27.95]	0.9857510	0.9787833	0.9893541
silicate + phosphate	Indo-Pacific	(27.95,28.05]	0.9882910	0.9826899	0.9926894
silicate + phosphate	Indo-Pacific	(28.05,28.1]	0.9939289	0.9915108	0.9967800
silicate + phosphate	Indo-Pacific	(28.1, Inf]	0.8890560	0.8741244	0.9039373
silicate + phosphate_star	Atlantic	(-Inf,26]	0.1797300	-0.2851561	0.5091057
silicate + phosphate_star	Atlantic	(26,26.5]	-0.3564894	-0.4159496	-0.2857836
silicate + phosphate_star	Atlantic	(26.5,26.75]	-0.0031708	-0.0373070	0.0556853
silicate + phosphate_star	Atlantic	(26.75,27]	0.3201949	0.2224700	0.4969301
silicate + phosphate_star	Atlantic	(27,27.25]	0.7244298	0.6704641	0.7716757
silicate + phosphate_star	Atlantic	(27.25,27.5]	0.6663312	0.5972584	0.7287848
silicate + phosphate_star	Atlantic	(27.5,27.75]	0.8827158	0.8798997	0.8852601
silicate + phosphate_star	Atlantic	(27.75,27.85]	0.9436496	0.9112508	0.9627883
silicate + phosphate_star	Atlantic	(27.85,27.95]	0.9604603	0.9479250	0.9699454
silicate + phosphate_star	Atlantic	(27.95,28.05]	0.9657189	0.9599119	0.9692698
silicate + phosphate_star	Atlantic	(28.05,28.1]	0.9751617	0.9705065	0.9800747
silicate + phosphate_star	Atlantic	(28.1,28.15]	0.9731136	0.9653828	0.9774691
silicate + phosphate_star	Atlantic	(28.15,28.2]	0.9384001	0.9331995	0.9470968
silicate + phosphate_star	Atlantic	(28.2, Inf]	0.8848556	0.8798125	0.8877844
silicate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7456433	0.6204997	0.8242474
silicate + phosphate_star	Indo-Pacific	(26,26.5]	0.7546650	0.7387399	0.7794730
silicate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.7575725	0.6384563	0.8601389
silicate + phosphate_star	Indo-Pacific	(26.75,27]	0.8103919	0.7973098	0.8296503
silicate + phosphate_star	Indo-Pacific	(27,27.25]	0.8329573	0.8248176	0.8489052
silicate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.6831149	0.6271091	0.7277114
silicate + phosphate_star	Indo-Pacific	(27.5,27.75]	0.3066287	0.2281570	0.3990907
silicate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.0445732	-0.1084519	-0.0069726
silicate + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.1849591	-0.3863614	0.0381551
silicate + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.2006780	-0.5648064	0.0487079
silicate + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.1050844	-0.3957359	0.0801666
silicate + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.2197396	-0.4394159	-0.0073490
temp + aou	Atlantic	(-Inf,26]	-0.6024686	-0.7534250	-0.3763824
temp + aou	Atlantic	(26,26.5]	-0.4446546	-0.5930104	-0.3175104
temp + aou	Atlantic	(26.5,26.75]	-0.0105557	-0.2990118	0.1482724
temp + aou	Atlantic	(26.75,27]	0.2442811	-0.0983045	0.4993581
temp + aou	Atlantic	(27,27.25]	0.2389273	-0.0026070	0.3607660
temp + aou	Atlantic	(27.25,27.5]	0.5579270	0.4852878	0.6701791
temp + aou	Atlantic	(27.5,27.75]	0.5240929	0.5104988	0.5396147
temp + aou	Atlantic	(27.75,27.85]	0.4148604	0.4056070	0.4213962
temp + aou	Atlantic	(27.85,27.95]	0.2309561	0.2279671	0.2363394
temp + aou	Atlantic	(27.95,28.05]	-0.1246364	-0.1865685	-0.0871703
temp + aou	Atlantic	(28.05,28.1]	-0.6189210	-0.6429755	-0.5849537
temp + aou	Atlantic	(28.1,28.15]	-0.7511527	-0.7895302	-0.7070466
temp + aou	Atlantic	(28.15,28.2]	-0.8029966	-0.8431168	-0.7647553
temp + aou	Atlantic	(28.2, Inf]	-0.8227917	-0.8525598	-0.7651767
temp + aou	Indo-Pacific	(-Inf,26]	-0.3902579	-0.5344789	-0.2310820
temp + aou	Indo-Pacific	(26,26.5]	-0.2459347	-0.3969076	-0.0834556
temp + aou	Indo-Pacific	(26.5,26.75]	-0.1325402	-0.5169811	0.2268667
temp + aou	Indo-Pacific	(26.75,27]	-0.2730800	-0.5723894	0.0553803
temp + aou	Indo-Pacific	(27,27.25]	-0.5498820	-0.6843029	-0.4819731
temp + aou	Indo-Pacific	(27.25,27.5]	-0.4256443	-0.5758476	-0.2521126
temp + aou	Indo-Pacific	(27.5,27.75]	0.0181648	-0.0914485	0.1756704
temp + aou	Indo-Pacific	(27.75,27.85]	0.4370384	0.4004351	0.4605944
temp + aou	Indo-Pacific	(27.85,27.95]	0.6150171	0.5205243	0.6971354
temp + aou	Indo-Pacific	(27.95,28.05]	0.7301519	0.6236233	0.8793730
temp + aou	Indo-Pacific	(28.05,28.1]	0.7754842	0.6726369	0.8941568
temp + aou	Indo-Pacific	(28.1, Inf]	0.8409275	0.7817126	0.8932391
temp + oxygen	Atlantic	(-Inf,26]	0.2514703	-0.0979425	0.5746064
temp + oxygen	Atlantic	(26,26.5]	0.1544919	0.0002856	0.3496632
temp + oxygen	Atlantic	(26.5,26.75]	-0.1795611	-0.3117351	0.0485359
temp + oxygen	Atlantic	(26.75,27]	-0.3697672	-0.6033005	-0.0534270
temp + oxygen	Atlantic	(27,27.25]	-0.3562419	-0.4816297	-0.1198563
temp + oxygen	Atlantic	(27.25,27.5]	-0.7217550	-0.8108794	-0.6492402
temp + oxygen	Atlantic	(27.5,27.75]	-0.7111286	-0.7436444	-0.6853154
temp + oxygen	Atlantic	(27.75,27.85]	-0.6223910	-0.6636469	-0.5940265
temp + oxygen	Atlantic	(27.85,27.95]	-0.5412121	-0.5977693	-0.4894604
temp + oxygen	Atlantic	(27.95,28.05]	-0.3109503	-0.3708205	-0.2311273
temp + oxygen	Atlantic	(28.05,28.1]	0.2946252	0.2145067	0.4238103
temp + oxygen	Atlantic	(28.1,28.15]	0.5495282	0.4649617	0.6116530
temp + oxygen	Atlantic	(28.15,28.2]	0.6621759	0.6383943	0.7051564
temp + oxygen	Atlantic	(28.2, Inf]	0.5221099	0.3539822	0.6977596
temp + oxygen	Indo-Pacific	(-Inf,26]	0.0698526	-0.0674335	0.2386776
temp + oxygen	Indo-Pacific	(26,26.5]	0.0145029	-0.0997953	0.1093853
temp + oxygen	Indo-Pacific	(26.5,26.75]	-0.0446482	-0.3989965	0.3426404
temp + oxygen	Indo-Pacific	(26.75,27]	0.0553645	-0.3170729	0.3920405
temp + oxygen	Indo-Pacific	(27,27.25]	0.3920494	0.2903602	0.5691092
temp + oxygen	Indo-Pacific	(27.25,27.5]	0.3246084	0.1323931	0.5028453
temp + oxygen	Indo-Pacific	(27.5,27.75]	-0.1030615	-0.2684271	0.0215336
temp + oxygen	Indo-Pacific	(27.75,27.85]	-0.4960642	-0.5212952	-0.4700598
temp + oxygen	Indo-Pacific	(27.85,27.95]	-0.6603696	-0.7407450	-0.5741650
temp + oxygen	Indo-Pacific	(27.95,28.05]	-0.7625599	-0.8958316	-0.6716608
temp + oxygen	Indo-Pacific	(28.05,28.1]	-0.8035340	-0.9081154	-0.7165645
temp + oxygen	Indo-Pacific	(28.1, Inf]	-0.8681709	-0.9104653	-0.8224643
temp + phosphate	Atlantic	(-Inf,26]	-0.5110792	-0.7508680	-0.0776522
temp + phosphate	Atlantic	(26,26.5]	-0.6830954	-0.8605555	-0.5460465
temp + phosphate	Atlantic	(26.5,26.75]	-0.3428727	-0.6745652	-0.1654889
temp + phosphate	Atlantic	(26.75,27]	0.0518755	-0.3667448	0.3562171
temp + phosphate	Atlantic	(27,27.25]	-0.0391974	-0.3263063	0.1057343
temp + phosphate	Atlantic	(27.25,27.5]	0.3463734	0.2598729	0.4698615
temp + phosphate	Atlantic	(27.5,27.75]	0.2131320	0.1696238	0.2378300
temp + phosphate	Atlantic	(27.75,27.85]	-0.3400474	-0.4623955	-0.2380866
temp + phosphate	Atlantic	(27.85,27.95]	-0.5426064	-0.6478568	-0.4293527
temp + phosphate	Atlantic	(27.95,28.05]	-0.6609022	-0.7656475	-0.5119046
temp + phosphate	Atlantic	(28.05,28.1]	-0.8406140	-0.8667799	-0.8036122
temp + phosphate	Atlantic	(28.1,28.15]	-0.8797230	-0.8981657	-0.8685002
temp + phosphate	Atlantic	(28.15,28.2]	-0.8877416	-0.9030752	-0.8670001
temp + phosphate	Atlantic	(28.2, Inf]	-0.9081920	-0.9563227	-0.8524097
temp + phosphate	Indo-Pacific	(-Inf,26]	-0.5551603	-0.6728486	-0.4122422
temp + phosphate	Indo-Pacific	(26,26.5]	-0.4439475	-0.6166928	-0.3176882
temp + phosphate	Indo-Pacific	(26.5,26.75]	-0.2723559	-0.6546398	0.1877925
temp + phosphate	Indo-Pacific	(26.75,27]	-0.3535257	-0.6983089	0.1454479
temp + phosphate	Indo-Pacific	(27,27.25]	-0.5845576	-0.7624793	-0.3652585
temp + phosphate	Indo-Pacific	(27.25,27.5]	-0.4846987	-0.6603256	-0.3687387
temp + phosphate	Indo-Pacific	(27.5,27.75]	-0.0424323	-0.1851071	0.0417562
temp + phosphate	Indo-Pacific	(27.75,27.85]	0.4102342	0.3645046	0.4789772
temp + phosphate	Indo-Pacific	(27.85,27.95]	0.5657578	0.4445223	0.6996538
temp + phosphate	Indo-Pacific	(27.95,28.05]	0.6805198	0.5597556	0.8464668
temp + phosphate	Indo-Pacific	(28.05,28.1]	0.7289792	0.6126445	0.8633740
temp + phosphate	Indo-Pacific	(28.1, Inf]	0.7938421	0.7062364	0.8755188
temp + phosphate_star	Atlantic	(-Inf,26]	-0.5922266	-0.8126184	-0.3915735
temp + phosphate_star	Atlantic	(26,26.5]	-0.8312043	-0.8435698	-0.8162778
temp + phosphate_star	Atlantic	(26.5,26.75]	-0.8678535	-0.9333979	-0.8137235
temp + phosphate_star	Atlantic	(26.75,27]	-0.7748009	-0.8749689	-0.7166361
temp + phosphate_star	Atlantic	(27,27.25]	-0.7744727	-0.8936867	-0.6901004
temp + phosphate_star	Atlantic	(27.25,27.5]	-0.5512147	-0.5816666	-0.4957913
temp + phosphate_star	Atlantic	(27.5,27.75]	-0.3880088	-0.4000594	-0.3642626
temp + phosphate_star	Atlantic	(27.75,27.85]	-0.7104762	-0.8018496	-0.6397057
temp + phosphate_star	Atlantic	(27.85,27.95]	-0.8102709	-0.8720351	-0.7455766
temp + phosphate_star	Atlantic	(27.95,28.05]	-0.8436258	-0.9097483	-0.7429685
temp + phosphate_star	Atlantic	(28.05,28.1]	-0.9291525	-0.9455738	-0.8970393
temp + phosphate_star	Atlantic	(28.1,28.15]	-0.9452593	-0.9536325	-0.9329773
temp + phosphate_star	Atlantic	(28.15,28.2]	-0.9425119	-0.9499562	-0.9276537
temp + phosphate_star	Atlantic	(28.2, Inf]	-0.9272967	-0.9625291	-0.8749822
temp + phosphate_star	Indo-Pacific	(-Inf,26]	-0.8835005	-0.9102047	-0.8570228
temp + phosphate_star	Indo-Pacific	(26,26.5]	-0.8889541	-0.9543172	-0.8211241
temp + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.7796026	-0.9471442	-0.4603135
temp + phosphate_star	Indo-Pacific	(26.75,27]	-0.6990578	-0.9537638	-0.1909974
temp + phosphate_star	Indo-Pacific	(27,27.25]	-0.7720932	-0.9588750	-0.4068911
temp + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.7241148	-0.9494557	-0.3195758
temp + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.6347065	-0.9569331	-0.0878710
temp + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.5922489	-0.9339285	0.0003415
temp + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.7965717	-0.8819837	-0.6321427
temp + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.8150814	-0.8882764	-0.7733269
temp + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.6724854	-0.7431939	-0.6138065
temp + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.6816266	-0.6958077	-0.6717208
temp + silicate	Atlantic	(-Inf,26]	-0.6124989	-0.6747236	-0.5509122
temp + silicate	Atlantic	(26,26.5]	0.0869621	-0.0443935	0.1827721
temp + silicate	Atlantic	(26.5,26.75]	0.1286058	0.0617077	0.1953555
temp + silicate	Atlantic	(26.75,27]	0.0610925	-0.2619300	0.2720436
temp + silicate	Atlantic	(27,27.25]	-0.2973877	-0.5799637	-0.0882024
temp + silicate	Atlantic	(27.25,27.5]	0.1966853	0.0765657	0.3498742
temp + silicate	Atlantic	(27.5,27.75]	0.0005459	-0.0256967	0.0163417
temp + silicate	Atlantic	(27.75,27.85]	-0.5694615	-0.6113362	-0.5373981
temp + silicate	Atlantic	(27.85,27.95]	-0.7368360	-0.7679847	-0.7118002
temp + silicate	Atlantic	(27.95,28.05]	-0.8098133	-0.8616778	-0.7663565
temp + silicate	Atlantic	(28.05,28.1]	-0.9043033	-0.9108100	-0.8951192
temp + silicate	Atlantic	(28.1,28.15]	-0.9053589	-0.9075192	-0.9029017
temp + silicate	Atlantic	(28.15,28.2]	-0.8135901	-0.8248060	-0.8016116
temp + silicate	Atlantic	(28.2, Inf]	-0.7275400	-0.7875195	-0.6436334
temp + silicate	Indo-Pacific	(-Inf,26]	-0.6215691	-0.7633206	-0.3754710
temp + silicate	Indo-Pacific	(26,26.5]	-0.6025242	-0.6960821	-0.5404634
temp + silicate	Indo-Pacific	(26.5,26.75]	-0.5067446	-0.7866597	-0.1110342
temp + silicate	Indo-Pacific	(26.75,27]	-0.5154424	-0.7708283	-0.0822629
temp + silicate	Indo-Pacific	(27,27.25]	-0.6746367	-0.8122837	-0.4456244
temp + silicate	Indo-Pacific	(27.25,27.5]	-0.5882705	-0.7289638	-0.4343156
temp + silicate	Indo-Pacific	(27.5,27.75]	-0.1415793	-0.2720838	-0.0038894
temp + silicate	Indo-Pacific	(27.75,27.85]	0.3529328	0.2280404	0.5013145
temp + silicate	Indo-Pacific	(27.85,27.95]	0.5098727	0.3253505	0.6959792
temp + silicate	Indo-Pacific	(27.95,28.05]	0.6322143	0.4745349	0.8251533
temp + silicate	Indo-Pacific	(28.05,28.1]	0.7151613	0.5821944	0.8641523
temp + silicate	Indo-Pacific	(28.1, Inf]	0.7106894	0.5797126	0.8470150

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
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]	0.3376165	0.0682823	0.5463812
aou	Atlantic	(26,26.5]	0.1742168	0.1363539	0.2136126
aou	Atlantic	(26.5,26.75]	-0.1302402	-0.4007860	0.1770023
aou	Atlantic	(26.75,27]	-0.2237868	-0.3255695	-0.1462945
aou	Atlantic	(27,27.25]	-0.3739949	-0.4878346	-0.2321419
aou	Atlantic	(27.25,27.5]	-0.6618294	-0.7448520	-0.5248834
aou	Atlantic	(27.5,27.75]	-0.5953063	-0.7473603	-0.5137511
aou	Atlantic	(27.75,27.85]	-0.4397521	-0.4744565	-0.3974482
aou	Atlantic	(27.85,27.95]	-0.5503422	-0.5976415	-0.5119808
aou	Atlantic	(27.95,28.05]	-0.7289744	-0.7796757	-0.6973888
aou	Atlantic	(28.05,28.1]	-0.9319912	-0.9432667	-0.9261316
aou	Atlantic	(28.1,28.15]	-0.9615417	-0.9655902	-0.9573290
aou	Atlantic	(28.15,28.2]	-0.9606792	-0.9728677	-0.9386641
aou	Atlantic	(28.2, Inf]	-0.8364449	-0.9194834	-0.7494290
aou	Indo-Pacific	(-Inf,26]	0.1943967	0.0752612	0.4228509
aou	Indo-Pacific	(26,26.5]	-0.3974151	-0.5172153	-0.2990861
aou	Indo-Pacific	(26.5,26.75]	-0.6546451	-0.7278649	-0.5980017
aou	Indo-Pacific	(26.75,27]	-0.7930938	-0.8461442	-0.7219577
aou	Indo-Pacific	(27,27.25]	-0.6744695	-0.7128894	-0.6121829
aou	Indo-Pacific	(27.25,27.5]	-0.5164612	-0.5977130	-0.4455132
aou	Indo-Pacific	(27.5,27.75]	-0.0486825	-0.3386058	0.2730302
aou	Indo-Pacific	(27.75,27.85]	0.3815525	0.1035583	0.6782235
aou	Indo-Pacific	(27.85,27.95]	0.4311942	0.1533453	0.6896083
aou	Indo-Pacific	(27.95,28.05]	0.3456040	-0.0891414	0.5730443
aou	Indo-Pacific	(28.05,28.1]	0.4137766	0.1812177	0.5809223
aou	Indo-Pacific	(28.1, Inf]	0.5879581	0.4716443	0.6513340
oxygen	Atlantic	(-Inf,26]	-0.3806802	-0.5004442	-0.2722738
oxygen	Atlantic	(26,26.5]	-0.1163834	-0.1574804	-0.0497741
oxygen	Atlantic	(26.5,26.75]	0.1334936	-0.1678045	0.4058381
oxygen	Atlantic	(26.75,27]	0.2708905	0.1965265	0.3599205
oxygen	Atlantic	(27,27.25]	0.3499053	0.2090848	0.4313783
oxygen	Atlantic	(27.25,27.5]	0.6977186	0.5554230	0.7894340
oxygen	Atlantic	(27.5,27.75]	0.5895768	0.5099083	0.7456666
oxygen	Atlantic	(27.75,27.85]	0.2785551	0.1988314	0.3419886
oxygen	Atlantic	(27.85,27.95]	0.2907263	0.1863145	0.4001347
oxygen	Atlantic	(27.95,28.05]	0.4603340	0.3650154	0.6288675
oxygen	Atlantic	(28.05,28.1]	0.7621929	0.7053060	0.8586818
oxygen	Atlantic	(28.1,28.15]	0.8797609	0.8602524	0.9024575
oxygen	Atlantic	(28.15,28.2]	0.9058731	0.8887331	0.9222537
oxygen	Atlantic	(28.2, Inf]	0.6298992	0.4936421	0.8335619
oxygen	Indo-Pacific	(-Inf,26]	-0.0568795	-0.2654056	0.0679865
oxygen	Indo-Pacific	(26,26.5]	0.3812247	0.3193256	0.5044289
oxygen	Indo-Pacific	(26.5,26.75]	0.6332467	0.5596000	0.6937701
oxygen	Indo-Pacific	(26.75,27]	0.8232290	0.7909237	0.8450341
oxygen	Indo-Pacific	(27,27.25]	0.7295434	0.7166591	0.7402184
oxygen	Indo-Pacific	(27.25,27.5]	0.5224520	0.4203439	0.6400010
oxygen	Indo-Pacific	(27.5,27.75]	0.0452711	-0.2860214	0.3389495
oxygen	Indo-Pacific	(27.75,27.85]	-0.3788277	-0.6514852	-0.1449505
oxygen	Indo-Pacific	(27.85,27.95]	-0.4187402	-0.6571067	-0.1787047
oxygen	Indo-Pacific	(27.95,28.05]	-0.3135290	-0.5444887	0.1173812
oxygen	Indo-Pacific	(28.05,28.1]	-0.3833238	-0.5554055	-0.1572368
oxygen	Indo-Pacific	(28.1, Inf]	-0.5732557	-0.6388491	-0.4489996
phosphate	Atlantic	(-Inf,26]	0.3942636	0.2666326	0.4888643
phosphate	Atlantic	(26,26.5]	0.1838370	0.1775733	0.1940978
phosphate	Atlantic	(26.5,26.75]	-0.2684025	-0.4508758	-0.0103808
phosphate	Atlantic	(26.75,27]	-0.3277133	-0.3813161	-0.2883268
phosphate	Atlantic	(27,27.25]	-0.6157528	-0.7058340	-0.5074174
phosphate	Atlantic	(27.25,27.5]	-0.8389488	-0.8894505	-0.7741359
phosphate	Atlantic	(27.5,27.75]	-0.9080793	-0.9146808	-0.8966072
phosphate	Atlantic	(27.75,27.85]	-0.9624619	-0.9673089	-0.9568619
phosphate	Atlantic	(27.85,27.95]	-0.9800271	-0.9823313	-0.9771752
phosphate	Atlantic	(27.95,28.05]	-0.9417851	-0.9580152	-0.9242685
phosphate	Atlantic	(28.05,28.1]	-0.9919654	-0.9939382	-0.9906868
phosphate	Atlantic	(28.1,28.15]	-0.9916012	-0.9932035	-0.9898168
phosphate	Atlantic	(28.15,28.2]	-0.9913467	-0.9931449	-0.9882826
phosphate	Atlantic	(28.2, Inf]	-0.9818693	-0.9846104	-0.9765726
phosphate	Indo-Pacific	(-Inf,26]	0.1434081	0.0054915	0.4067585
phosphate	Indo-Pacific	(26,26.5]	-0.5174915	-0.5782891	-0.4306352
phosphate	Indo-Pacific	(26.5,26.75]	-0.7692176	-0.7839119	-0.7522524
phosphate	Indo-Pacific	(26.75,27]	-0.8554500	-0.8636071	-0.8421268
phosphate	Indo-Pacific	(27,27.25]	-0.7377419	-0.7526840	-0.7234317
phosphate	Indo-Pacific	(27.25,27.5]	-0.5952867	-0.6774685	-0.5448925
phosphate	Indo-Pacific	(27.5,27.75]	-0.0775297	-0.3319062	0.2023391
phosphate	Indo-Pacific	(27.75,27.85]	0.4459877	0.2298577	0.6987907
phosphate	Indo-Pacific	(27.85,27.95]	0.4910810	0.2462773	0.7179951
phosphate	Indo-Pacific	(27.95,28.05]	0.3815448	-0.0394745	0.5997818
phosphate	Indo-Pacific	(28.05,28.1]	0.4458707	0.2267545	0.6042160
phosphate	Indo-Pacific	(28.1, Inf]	0.5697942	0.4254737	0.6533527
phosphate_star	Atlantic	(-Inf,26]	0.0998239	-0.1814879	0.4384713
phosphate_star	Atlantic	(26,26.5]	0.1526565	0.0937760	0.2153805
phosphate_star	Atlantic	(26.5,26.75]	-0.3242375	-0.3936886	-0.2713198
phosphate_star	Atlantic	(26.75,27]	-0.1981822	-0.2422276	-0.1657712
phosphate_star	Atlantic	(27,27.25]	-0.6493973	-0.7084534	-0.5322804
phosphate_star	Atlantic	(27.25,27.5]	-0.3855793	-0.5210292	-0.2819600
phosphate_star	Atlantic	(27.5,27.75]	-0.7158440	-0.7973849	-0.6036054
phosphate_star	Atlantic	(27.75,27.85]	-0.9036680	-0.9368101	-0.8582678
phosphate_star	Atlantic	(27.85,27.95]	-0.9180231	-0.9415181	-0.8899506
phosphate_star	Atlantic	(27.95,28.05]	-0.8830139	-0.8981268	-0.8578145
phosphate_star	Atlantic	(28.05,28.1]	-0.9616347	-0.9733751	-0.9497683
phosphate_star	Atlantic	(28.1,28.15]	-0.9673298	-0.9774866	-0.9535192
phosphate_star	Atlantic	(28.15,28.2]	-0.9774873	-0.9820607	-0.9734368
phosphate_star	Atlantic	(28.2, Inf]	-0.9818892	-0.9832664	-0.9795203
phosphate_star	Indo-Pacific	(-Inf,26]	0.1877405	0.0708149	0.4111385
phosphate_star	Indo-Pacific	(26,26.5]	-0.4792730	-0.6308621	-0.3951581
phosphate_star	Indo-Pacific	(26.5,26.75]	-0.6324130	-0.7038122	-0.5119824
phosphate_star	Indo-Pacific	(26.75,27]	-0.5960569	-0.6437217	-0.5175782
phosphate_star	Indo-Pacific	(27,27.25]	-0.5397311	-0.5958914	-0.4647284
phosphate_star	Indo-Pacific	(27.25,27.5]	-0.5300403	-0.5468004	-0.5142675
phosphate_star	Indo-Pacific	(27.5,27.75]	-0.1573157	-0.3201803	-0.0349680
phosphate_star	Indo-Pacific	(27.75,27.85]	0.3861044	0.1099466	0.6597349
phosphate_star	Indo-Pacific	(27.85,27.95]	0.3478091	0.2902077	0.3909862
phosphate_star	Indo-Pacific	(27.95,28.05]	0.4466961	0.3316113	0.5948240
phosphate_star	Indo-Pacific	(28.05,28.1]	0.4138522	0.3373326	0.4696826
phosphate_star	Indo-Pacific	(28.1, Inf]	-0.2351681	-0.3414090	-0.1568461
sal	Atlantic	(-Inf,26]	0.4933462	-0.0222728	0.8535559
sal	Atlantic	(26,26.5]	-0.0431931	-0.0964058	0.0195947
sal	Atlantic	(26.5,26.75]	0.0236348	0.0000831	0.0390862
sal	Atlantic	(26.75,27]	-0.3675493	-0.4679929	-0.2494773
sal	Atlantic	(27,27.25]	0.1018143	-0.2044131	0.4134346
sal	Atlantic	(27.25,27.5]	-0.5109817	-0.6133524	-0.3467463
sal	Atlantic	(27.5,27.75]	-0.3476509	-0.4874822	-0.2492680
sal	Atlantic	(27.75,27.85]	0.2869086	0.2625501	0.3212450
sal	Atlantic	(27.85,27.95]	0.4992223	0.4553734	0.5342134
sal	Atlantic	(27.95,28.05]	0.5332560	0.4252812	0.5917091
sal	Atlantic	(28.05,28.1]	0.8670444	0.8406652	0.8837832
sal	Atlantic	(28.1,28.15]	0.9160351	0.9096715	0.9196092
sal	Atlantic	(28.15,28.2]	0.9020289	0.8840205	0.9190706
sal	Atlantic	(28.2, Inf]	0.8676315	0.8070309	0.9195349
sal	Indo-Pacific	(-Inf,26]	0.0453056	-0.2427263	0.3944294
sal	Indo-Pacific	(26,26.5]	0.2357872	0.0728725	0.3704701
sal	Indo-Pacific	(26.5,26.75]	0.2266943	-0.3292418	0.5244788
sal	Indo-Pacific	(26.75,27]	0.1017507	-0.4986093	0.4863185
sal	Indo-Pacific	(27,27.25]	0.1169009	-0.2349227	0.3549704
sal	Indo-Pacific	(27.25,27.5]	0.0657208	-0.1740929	0.1986374
sal	Indo-Pacific	(27.5,27.75]	-0.1674323	-0.3183457	0.0157012
sal	Indo-Pacific	(27.75,27.85]	0.1225828	-0.2010999	0.5893976
sal	Indo-Pacific	(27.85,27.95]	0.1557988	-0.1121452	0.5859954
sal	Indo-Pacific	(27.95,28.05]	-0.1356834	-0.4064770	0.0731019
sal	Indo-Pacific	(28.05,28.1]	0.0010170	-0.1187160	0.2103274
sal	Indo-Pacific	(28.1, Inf]	0.1983512	0.0773075	0.2685763
silicate	Atlantic	(-Inf,26]	-0.5740457	-0.8869849	-0.0650397
silicate	Atlantic	(26,26.5]	-0.4883022	-0.5918467	-0.4119186
silicate	Atlantic	(26.5,26.75]	-0.4421614	-0.7010116	-0.2494123
silicate	Atlantic	(26.75,27]	-0.5680234	-0.6080829	-0.5343462
silicate	Atlantic	(27,27.25]	-0.8385928	-0.8669024	-0.8111622
silicate	Atlantic	(27.25,27.5]	-0.8949437	-0.9195038	-0.8644862
silicate	Atlantic	(27.5,27.75]	-0.8987557	-0.9293232	-0.8551913
silicate	Atlantic	(27.75,27.85]	-0.9369840	-0.9442668	-0.9227944
silicate	Atlantic	(27.85,27.95]	-0.9288130	-0.9387460	-0.9234110
silicate	Atlantic	(27.95,28.05]	-0.8668947	-0.9005518	-0.8464735
silicate	Atlantic	(28.05,28.1]	-0.9495094	-0.9628970	-0.9313483
silicate	Atlantic	(28.1,28.15]	-0.9591735	-0.9719874	-0.9463790
silicate	Atlantic	(28.15,28.2]	-0.9473306	-0.9581767	-0.9315237
silicate	Atlantic	(28.2, Inf]	-0.8862429	-0.9239394	-0.8516166
silicate	Indo-Pacific	(-Inf,26]	0.0487022	-0.2498371	0.3670975
silicate	Indo-Pacific	(26,26.5]	-0.6048272	-0.6407573	-0.5690975
silicate	Indo-Pacific	(26.5,26.75]	-0.7535569	-0.7790768	-0.7325666
silicate	Indo-Pacific	(26.75,27]	-0.7342807	-0.7539699	-0.7217796
silicate	Indo-Pacific	(27,27.25]	-0.6015496	-0.6239661	-0.5648707
silicate	Indo-Pacific	(27.25,27.5]	-0.4565709	-0.5320926	-0.3927353
silicate	Indo-Pacific	(27.5,27.75]	0.0203692	-0.2046026	0.2895039
silicate	Indo-Pacific	(27.75,27.85]	0.5198319	0.3443739	0.7578697
silicate	Indo-Pacific	(27.85,27.95]	0.5461336	0.3136997	0.7780642
silicate	Indo-Pacific	(27.95,28.05]	0.4208268	-0.0170414	0.6531144
silicate	Indo-Pacific	(28.05,28.1]	0.4799509	0.2396191	0.6350955
silicate	Indo-Pacific	(28.1, Inf]	0.5595348	0.4532329	0.6639551
temp	Atlantic	(-Inf,26]	-0.0939946	-0.4679999	0.2265461
temp	Atlantic	(26,26.5]	-0.2366854	-0.3006464	-0.1486496
temp	Atlantic	(26.5,26.75]	0.0141563	-0.0027618	0.0472862
temp	Atlantic	(26.75,27]	-0.3502228	-0.4548516	-0.1979432
temp	Atlantic	(27,27.25]	0.1124461	-0.1972049	0.4291212
temp	Atlantic	(27.25,27.5]	-0.5378934	-0.6274277	-0.3898671
temp	Atlantic	(27.5,27.75]	-0.3449835	-0.4752647	-0.2652682
temp	Atlantic	(27.75,27.85]	0.3596881	0.3346066	0.3945050
temp	Atlantic	(27.85,27.95]	0.5278882	0.4835914	0.5642572
temp	Atlantic	(27.95,28.05]	0.5334083	0.4160899	0.5938818
temp	Atlantic	(28.05,28.1]	0.8004515	0.7769034	0.8215986
temp	Atlantic	(28.1,28.15]	0.8391591	0.8190288	0.8568330
temp	Atlantic	(28.15,28.2]	0.8706521	0.8521273	0.8874728
temp	Atlantic	(28.2, Inf]	0.8732128	0.7855024	0.9259429
temp	Indo-Pacific	(-Inf,26]	-0.4840475	-0.5933412	-0.4062865
temp	Indo-Pacific	(26,26.5]	0.1639907	-0.0161430	0.3098112
temp	Indo-Pacific	(26.5,26.75]	0.1743179	-0.4105355	0.4849721
temp	Indo-Pacific	(26.75,27]	0.0532497	-0.5479352	0.4314414
temp	Indo-Pacific	(27,27.25]	0.1060023	-0.2477335	0.3422296
temp	Indo-Pacific	(27.25,27.5]	0.1823325	-0.0584426	0.3115099
temp	Indo-Pacific	(27.5,27.75]	0.0633588	-0.0116899	0.2110808
temp	Indo-Pacific	(27.75,27.85]	0.1009685	-0.2136193	0.5171634
temp	Indo-Pacific	(27.85,27.95]	0.0566881	-0.1681575	0.3883416
temp	Indo-Pacific	(27.95,28.05]	-0.2067946	-0.4505845	-0.0427414
temp	Indo-Pacific	(28.05,28.1]	-0.0980046	-0.1747524	0.0485640
temp	Indo-Pacific	(28.1, Inf]	0.3555015	0.1694128	0.4800643

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