eMLR - assumption testing

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Last updated: 2021-03-28

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
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
bf19764	Donghe-Zhu	2021-03-22
3ec9d3d	Donghe-Zhu	2021-03-22
134ace1	Donghe-Zhu	2021-03-22
f6d70a4	Donghe-Zhu	2021-03-22
183443b	Donghe-Zhu	2021-03-21
2e6976b	Donghe-Zhu	2021-03-21
51a42bd	Donghe-Zhu	2021-03-16
f745381	Donghe-Zhu	2021-03-16
aecbf75	Donghe-Zhu	2021-03-14
1b2a0c2	Donghe-Zhu	2021-03-14
6733e48	Donghe-Zhu	2021-03-12
ba71e6a	Donghe-Zhu	2021-03-12
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b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

Past versions of predictor_correlation_per_basin-2.png

Version	Author	Date
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
bf19764	Donghe-Zhu	2021-03-22
3ec9d3d	Donghe-Zhu	2021-03-22
134ace1	Donghe-Zhu	2021-03-22
f6d70a4	Donghe-Zhu	2021-03-22
183443b	Donghe-Zhu	2021-03-21
2e6976b	Donghe-Zhu	2021-03-21
51a42bd	Donghe-Zhu	2021-03-16
f745381	Donghe-Zhu	2021-03-16
aecbf75	Donghe-Zhu	2021-03-14
1b2a0c2	Donghe-Zhu	2021-03-14
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
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
bf19764	Donghe-Zhu	2021-03-22
3ec9d3d	Donghe-Zhu	2021-03-22
134ace1	Donghe-Zhu	2021-03-22
f6d70a4	Donghe-Zhu	2021-03-22
183443b	Donghe-Zhu	2021-03-21
2e6976b	Donghe-Zhu	2021-03-21
51a42bd	Donghe-Zhu	2021-03-16
f745381	Donghe-Zhu	2021-03-16
aecbf75	Donghe-Zhu	2021-03-14
1b2a0c2	Donghe-Zhu	2021-03-14
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 + nitrate	Atlantic	(-Inf,26]	0.8265817	0.5648454	0.9771690
aou + nitrate	Atlantic	(26,26.5]	0.9156001	0.9079887	0.9203537
aou + nitrate	Atlantic	(26.5,26.75]	0.9655480	0.9470463	0.9767440
aou + nitrate	Atlantic	(26.75,27]	0.9844423	0.9813055	0.9872776
aou + nitrate	Atlantic	(27,27.25]	0.9554796	0.9297773	0.9692641
aou + nitrate	Atlantic	(27.25,27.5]	0.8933618	0.8589049	0.9155651
aou + nitrate	Atlantic	(27.5,27.75]	0.8066492	0.7902475	0.8233890
aou + nitrate	Atlantic	(27.75,27.85]	0.6775879	0.6065680	0.7697731
aou + nitrate	Atlantic	(27.85,27.95]	0.8577131	0.7818849	0.9130697
aou + nitrate	Atlantic	(27.95,28.05]	0.7770425	0.6092928	0.9194706
aou + nitrate	Atlantic	(28.05,28.1]	0.8350363	0.7329617	0.9419457
aou + nitrate	Atlantic	(28.1,28.15]	0.9228772	0.8972910	0.9428760
aou + nitrate	Atlantic	(28.15,28.2]	0.9587127	0.9449464	0.9716145
aou + nitrate	Atlantic	(28.2, Inf]	0.9238526	0.8920761	0.9829653
aou + nitrate	Indo-Pacific	(-Inf,26]	0.9119355	0.8772733	0.9489709
aou + nitrate	Indo-Pacific	(26,26.5]	0.8508498	0.7784713	0.9139492
aou + nitrate	Indo-Pacific	(26.5,26.75]	0.8613343	0.8312729	0.8774691
aou + nitrate	Indo-Pacific	(26.75,27]	0.8746194	0.8266487	0.9043012
aou + nitrate	Indo-Pacific	(27,27.25]	0.9276989	0.8879580	0.9548223
aou + nitrate	Indo-Pacific	(27.25,27.5]	0.9399344	0.9068827	0.9588769
aou + nitrate	Indo-Pacific	(27.5,27.75]	0.9576591	0.9281528	0.9769935
aou + nitrate	Indo-Pacific	(27.75,27.85]	0.9767277	0.9564860	0.9936521
aou + nitrate	Indo-Pacific	(27.85,27.95]	0.9817297	0.9682251	0.9923638
aou + nitrate	Indo-Pacific	(27.95,28.05]	0.9882646	0.9797465	0.9958179
aou + nitrate	Indo-Pacific	(28.05,28.1]	0.9888499	0.9819864	0.9951937
aou + nitrate	Indo-Pacific	(28.1, Inf]	0.9868710	0.9777635	0.9939949
aou + phosphate	Atlantic	(-Inf,26]	0.9255286	0.8316125	0.9838505
aou + phosphate	Atlantic	(26,26.5]	0.8809673	0.8634149	0.9011622
aou + phosphate	Atlantic	(26.5,26.75]	0.9123727	0.8627471	0.9482311
aou + phosphate	Atlantic	(26.75,27]	0.9552079	0.9488043	0.9635046
aou + phosphate	Atlantic	(27,27.25]	0.9112921	0.8647182	0.9397625
aou + phosphate	Atlantic	(27.25,27.5]	0.8436826	0.7953797	0.8722742
aou + phosphate	Atlantic	(27.5,27.75]	0.7530166	0.7218500	0.7812546
aou + phosphate	Atlantic	(27.75,27.85]	0.6409502	0.5608101	0.7363873
aou + phosphate	Atlantic	(27.85,27.95]	0.8396019	0.7605357	0.8947929
aou + phosphate	Atlantic	(27.95,28.05]	0.7653329	0.5936408	0.9084086
aou + phosphate	Atlantic	(28.05,28.1]	0.8308233	0.7266257	0.9394349
aou + phosphate	Atlantic	(28.1,28.15]	0.9211392	0.8948442	0.9412751
aou + phosphate	Atlantic	(28.15,28.2]	0.9616686	0.9503839	0.9721325
aou + phosphate	Atlantic	(28.2, Inf]	0.9129215	0.8748782	0.9827699
aou + phosphate	Indo-Pacific	(-Inf,26]	0.9559228	0.9435706	0.9649305
aou + phosphate	Indo-Pacific	(26,26.5]	0.9568738	0.9518593	0.9608937
aou + phosphate	Indo-Pacific	(26.5,26.75]	0.9652276	0.9564028	0.9795783
aou + phosphate	Indo-Pacific	(26.75,27]	0.9642506	0.9450008	0.9810093
aou + phosphate	Indo-Pacific	(27,27.25]	0.9815237	0.9711778	0.9903779
aou + phosphate	Indo-Pacific	(27.25,27.5]	0.9812976	0.9723457	0.9887970
aou + phosphate	Indo-Pacific	(27.5,27.75]	0.9836477	0.9754946	0.9915933
aou + phosphate	Indo-Pacific	(27.75,27.85]	0.9921102	0.9877898	0.9961949
aou + phosphate	Indo-Pacific	(27.85,27.95]	0.9934943	0.9927505	0.9939422
aou + phosphate	Indo-Pacific	(27.95,28.05]	0.9915074	0.9883080	0.9959287
aou + phosphate	Indo-Pacific	(28.05,28.1]	0.9918991	0.9890042	0.9955528
aou + phosphate	Indo-Pacific	(28.1, Inf]	0.9887283	0.9830642	0.9931948
aou + phosphate_star	Atlantic	(-Inf,26]	0.1579622	-0.3124854	0.4820383
aou + phosphate_star	Atlantic	(26,26.5]	0.3068539	0.2252176	0.3621033
aou + phosphate_star	Atlantic	(26.5,26.75]	0.0726581	-0.0114754	0.1278524
aou + phosphate_star	Atlantic	(26.75,27]	-0.0105004	-0.0829445	0.0529926
aou + phosphate_star	Atlantic	(27,27.25]	0.0281948	-0.0038496	0.0690087
aou + phosphate_star	Atlantic	(27.25,27.5]	0.1033971	0.0718413	0.1365419
aou + phosphate_star	Atlantic	(27.5,27.75]	0.0572800	-0.0185744	0.1337144
aou + phosphate_star	Atlantic	(27.75,27.85]	0.2077315	0.0350580	0.3364593
aou + phosphate_star	Atlantic	(27.85,27.95]	0.6103056	0.4834168	0.6759040
aou + phosphate_star	Atlantic	(27.95,28.05]	0.5249422	0.2517125	0.7427269
aou + phosphate_star	Atlantic	(28.05,28.1]	0.6523814	0.4732033	0.8296101
aou + phosphate_star	Atlantic	(28.1,28.15]	0.8010135	0.7534086	0.8336509
aou + phosphate_star	Atlantic	(28.15,28.2]	0.8849290	0.8572607	0.9102530
aou + phosphate_star	Atlantic	(28.2, Inf]	0.8221476	0.7518360	0.9589787
aou + phosphate_star	Indo-Pacific	(-Inf,26]	0.5328297	0.4635119	0.6208501
aou + phosphate_star	Indo-Pacific	(26,26.5]	0.4091167	0.2451949	0.5303910
aou + phosphate_star	Indo-Pacific	(26.5,26.75]	0.4655677	0.3381136	0.6753938
aou + phosphate_star	Indo-Pacific	(26.75,27]	0.6007562	0.4822912	0.6924150
aou + phosphate_star	Indo-Pacific	(27,27.25]	0.7383547	0.6492550	0.8044738
aou + phosphate_star	Indo-Pacific	(27.25,27.5]	0.5197316	0.4169152	0.5760960
aou + phosphate_star	Indo-Pacific	(27.5,27.75]	0.0002594	-0.1110887	0.0766949
aou + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.3290987	-0.4748629	-0.2467676
aou + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.2833663	-0.4809345	-0.1588251
aou + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.3928038	-0.5046097	-0.3182849
aou + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.4147135	-0.4910375	-0.3651102
aou + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.1316930	-0.1741356	-0.1077480
aou + silicate	Atlantic	(-Inf,26]	0.3030888	-0.0148651	0.4730080
aou + silicate	Atlantic	(26,26.5]	0.3984742	0.2888179	0.4822887
aou + silicate	Atlantic	(26.5,26.75]	0.6417685	0.6101098	0.6979706
aou + silicate	Atlantic	(26.75,27]	0.7827510	0.7693232	0.7962105
aou + silicate	Atlantic	(27,27.25]	0.7088217	0.6728475	0.7426258
aou + silicate	Atlantic	(27.25,27.5]	0.5873356	0.5442860	0.6129828
aou + silicate	Atlantic	(27.5,27.75]	0.5038282	0.4874534	0.5127248
aou + silicate	Atlantic	(27.75,27.85]	0.4032484	0.2932883	0.4875235
aou + silicate	Atlantic	(27.85,27.95]	0.6499668	0.5595254	0.7422896
aou + silicate	Atlantic	(27.95,28.05]	0.6632724	0.5138078	0.7480680
aou + silicate	Atlantic	(28.05,28.1]	0.8090863	0.7184907	0.8872718
aou + silicate	Atlantic	(28.1,28.15]	0.9204783	0.9022494	0.9342061
aou + silicate	Atlantic	(28.15,28.2]	0.9400682	0.9296875	0.9543127
aou + silicate	Atlantic	(28.2, Inf]	0.7026573	0.6144712	0.8619425
aou + silicate	Indo-Pacific	(-Inf,26]	0.7854391	0.7350916	0.8668213
aou + silicate	Indo-Pacific	(26,26.5]	0.7744659	0.7240596	0.8067525
aou + silicate	Indo-Pacific	(26.5,26.75]	0.7796853	0.7299634	0.8320276
aou + silicate	Indo-Pacific	(26.75,27]	0.8607472	0.8344572	0.9020921
aou + silicate	Indo-Pacific	(27,27.25]	0.9228427	0.9075518	0.9525004
aou + silicate	Indo-Pacific	(27.25,27.5]	0.9394959	0.9221673	0.9654658
aou + silicate	Indo-Pacific	(27.5,27.75]	0.9477479	0.9343620	0.9719092
aou + silicate	Indo-Pacific	(27.75,27.85]	0.9709386	0.9596374	0.9857235
aou + silicate	Indo-Pacific	(27.85,27.95]	0.9767175	0.9661928	0.9831283
aou + silicate	Indo-Pacific	(27.95,28.05]	0.9822444	0.9752749	0.9895131
aou + silicate	Indo-Pacific	(28.05,28.1]	0.9891326	0.9866434	0.9930665
aou + silicate	Indo-Pacific	(28.1, Inf]	0.8210073	0.7948025	0.8394201
nitrate + phosphate	Atlantic	(-Inf,26]	0.6497340	0.0763535	0.9706257
nitrate + phosphate	Atlantic	(26,26.5]	0.8089502	0.7851676	0.8208542
nitrate + phosphate	Atlantic	(26.5,26.75]	0.9462000	0.9167525	0.9622061
nitrate + phosphate	Atlantic	(26.75,27]	0.9810026	0.9775493	0.9860976
nitrate + phosphate	Atlantic	(27,27.25]	0.9848607	0.9765752	0.9906450
nitrate + phosphate	Atlantic	(27.25,27.5]	0.9918427	0.9894137	0.9941962
nitrate + phosphate	Atlantic	(27.5,27.75]	0.9929299	0.9902383	0.9952323
nitrate + phosphate	Atlantic	(27.75,27.85]	0.9980744	0.9972833	0.9985823
nitrate + phosphate	Atlantic	(27.85,27.95]	0.9989869	0.9987753	0.9991488
nitrate + phosphate	Atlantic	(27.95,28.05]	0.9992754	0.9989209	0.9995274
nitrate + phosphate	Atlantic	(28.05,28.1]	0.9996525	0.9994343	0.9997957
nitrate + phosphate	Atlantic	(28.1,28.15]	0.9995734	0.9993359	0.9997027
nitrate + phosphate	Atlantic	(28.15,28.2]	0.9970553	0.9960282	0.9977828
nitrate + phosphate	Atlantic	(28.2, Inf]	0.9917419	0.9895397	0.9929864
nitrate + phosphate	Indo-Pacific	(-Inf,26]	0.9562818	0.9351055	0.9883794
nitrate + phosphate	Indo-Pacific	(26,26.5]	0.8880079	0.8016461	0.9458475
nitrate + phosphate	Indo-Pacific	(26.5,26.75]	0.8987448	0.8689047	0.9267637
nitrate + phosphate	Indo-Pacific	(26.75,27]	0.9161004	0.8937863	0.9400922
nitrate + phosphate	Indo-Pacific	(27,27.25]	0.9441406	0.9090311	0.9769389
nitrate + phosphate	Indo-Pacific	(27.25,27.5]	0.9549017	0.9269322	0.9750151
nitrate + phosphate	Indo-Pacific	(27.5,27.75]	0.9760925	0.9596413	0.9872838
nitrate + phosphate	Indo-Pacific	(27.75,27.85]	0.9908166	0.9856014	0.9958838
nitrate + phosphate	Indo-Pacific	(27.85,27.95]	0.9934311	0.9863513	0.9981150
nitrate + phosphate	Indo-Pacific	(27.95,28.05]	0.9979251	0.9948922	0.9997105
nitrate + phosphate	Indo-Pacific	(28.05,28.1]	0.9981899	0.9958943	0.9996720
nitrate + phosphate	Indo-Pacific	(28.1, Inf]	0.9947665	0.9904130	0.9973846
nitrate + phosphate_star	Atlantic	(-Inf,26]	0.1413333	-0.1612385	0.6176727
nitrate + phosphate_star	Atlantic	(26,26.5]	0.2973330	0.2226237	0.3652856
nitrate + phosphate_star	Atlantic	(26.5,26.75]	0.2161884	0.0973413	0.3043666
nitrate + phosphate_star	Atlantic	(26.75,27]	0.1166059	0.0453124	0.1834824
nitrate + phosphate_star	Atlantic	(27,27.25]	0.2829670	0.2230403	0.3329000
nitrate + phosphate_star	Atlantic	(27.25,27.5]	0.5163130	0.4979752	0.5504586
nitrate + phosphate_star	Atlantic	(27.5,27.75]	0.6076689	0.5627497	0.6501170
nitrate + phosphate_star	Atlantic	(27.75,27.85]	0.8526288	0.8114281	0.8899680
nitrate + phosphate_star	Atlantic	(27.85,27.95]	0.9256602	0.9144945	0.9411602
nitrate + phosphate_star	Atlantic	(27.95,28.05]	0.9358378	0.9177778	0.9487074
nitrate + phosphate_star	Atlantic	(28.05,28.1]	0.9577007	0.9445736	0.9650961
nitrate + phosphate_star	Atlantic	(28.1,28.15]	0.9675455	0.9648643	0.9708694
nitrate + phosphate_star	Atlantic	(28.15,28.2]	0.9766030	0.9754066	0.9787053
nitrate + phosphate_star	Atlantic	(28.2, Inf]	0.9685012	0.9604701	0.9845245
nitrate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7379474	0.6369776	0.8101727
nitrate + phosphate_star	Indo-Pacific	(26,26.5]	0.5969875	0.4380055	0.7343848
nitrate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.6359343	0.5617198	0.7760316
nitrate + phosphate_star	Indo-Pacific	(26.75,27]	0.7442857	0.6819895	0.7902659
nitrate + phosphate_star	Indo-Pacific	(27,27.25]	0.8202340	0.7903573	0.8524881
nitrate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.6432080	0.6014284	0.6790326
nitrate + phosphate_star	Indo-Pacific	(27.5,27.75]	0.1796813	0.0977792	0.2920514
nitrate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.1890104	-0.2854615	-0.1077500
nitrate + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.1491921	-0.3443431	0.0000312
nitrate + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.2620632	-0.4283237	-0.1770454
nitrate + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.2850391	-0.4073697	-0.2172656
nitrate + phosphate_star	Indo-Pacific	(28.1, Inf]	0.0036125	-0.0799768	0.0662539
nitrate + silicate	Atlantic	(-Inf,26]	0.6911112	0.5751513	0.8089248
nitrate + silicate	Atlantic	(26,26.5]	0.6781988	0.6169108	0.7374897
nitrate + silicate	Atlantic	(26.5,26.75]	0.7290469	0.6960856	0.7927647
nitrate + silicate	Atlantic	(26.75,27]	0.8475451	0.8401838	0.8529079
nitrate + silicate	Atlantic	(27,27.25]	0.8637728	0.8421834	0.8771712
nitrate + silicate	Atlantic	(27.25,27.5]	0.8588747	0.8270149	0.8973778
nitrate + silicate	Atlantic	(27.5,27.75]	0.8827138	0.8742402	0.8932452
nitrate + silicate	Atlantic	(27.75,27.85]	0.9096953	0.8857120	0.9470460
nitrate + silicate	Atlantic	(27.85,27.95]	0.9226619	0.8861905	0.9513271
nitrate + silicate	Atlantic	(27.95,28.05]	0.9418163	0.9025237	0.9640242
nitrate + silicate	Atlantic	(28.05,28.1]	0.9663376	0.9416993	0.9800589
nitrate + silicate	Atlantic	(28.1,28.15]	0.9720244	0.9566378	0.9805076
nitrate + silicate	Atlantic	(28.15,28.2]	0.9254262	0.9096246	0.9427077
nitrate + silicate	Atlantic	(28.2, Inf]	0.7654008	0.6985478	0.8487381
nitrate + silicate	Indo-Pacific	(-Inf,26]	0.8511332	0.7666912	0.9333740
nitrate + silicate	Indo-Pacific	(26,26.5]	0.8530932	0.7566793	0.9088696
nitrate + silicate	Indo-Pacific	(26.5,26.75]	0.8684796	0.8259461	0.8901295
nitrate + silicate	Indo-Pacific	(26.75,27]	0.9122491	0.9023984	0.9233289
nitrate + silicate	Indo-Pacific	(27,27.25]	0.9489540	0.9338793	0.9588028
nitrate + silicate	Indo-Pacific	(27.25,27.5]	0.9618424	0.9510079	0.9682788
nitrate + silicate	Indo-Pacific	(27.5,27.75]	0.9759042	0.9725946	0.9814491
nitrate + silicate	Indo-Pacific	(27.75,27.85]	0.9874925	0.9811619	0.9916166
nitrate + silicate	Indo-Pacific	(27.85,27.95]	0.9861501	0.9834640	0.9904961
nitrate + silicate	Indo-Pacific	(27.95,28.05]	0.9902229	0.9877760	0.9923542
nitrate + silicate	Indo-Pacific	(28.05,28.1]	0.9929453	0.9917324	0.9942608
nitrate + silicate	Indo-Pacific	(28.1, Inf]	0.8271532	0.8119735	0.8387584
phosphate + phosphate_star	Atlantic	(-Inf,26]	0.3543657	-0.1703184	0.6546973
phosphate + phosphate_star	Atlantic	(26,26.5]	0.7070726	0.6537501	0.7528999
phosphate + phosphate_star	Atlantic	(26.5,26.75]	0.4577808	0.3028372	0.6046981
phosphate + phosphate_star	Atlantic	(26.75,27]	0.2786280	0.1798715	0.3591393
phosphate + phosphate_star	Atlantic	(27,27.25]	0.4226968	0.3604828	0.5072360
phosphate + phosphate_star	Atlantic	(27.25,27.5]	0.6097528	0.5832313	0.6522007
phosphate + phosphate_star	Atlantic	(27.5,27.75]	0.6866102	0.6617717	0.7124309
phosphate + phosphate_star	Atlantic	(27.75,27.85]	0.8793118	0.8451868	0.9098229
phosphate + phosphate_star	Atlantic	(27.85,27.95]	0.9397727	0.9322474	0.9523252
phosphate + phosphate_star	Atlantic	(27.95,28.05]	0.9442649	0.9265087	0.9540711
phosphate + phosphate_star	Atlantic	(28.05,28.1]	0.9612179	0.9483014	0.9695194
phosphate + phosphate_star	Atlantic	(28.1,28.15]	0.9699083	0.9671324	0.9722577
phosphate + phosphate_star	Atlantic	(28.15,28.2]	0.9777763	0.9741764	0.9808683
phosphate + phosphate_star	Atlantic	(28.2, Inf]	0.9790435	0.9709024	0.9934736
phosphate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7428926	0.6801143	0.7945588
phosphate + phosphate_star	Indo-Pacific	(26,26.5]	0.6436617	0.5238454	0.7453284
phosphate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.6626218	0.5850053	0.8069830
phosphate + phosphate_star	Indo-Pacific	(26.75,27]	0.7681984	0.6867076	0.8163534
phosphate + phosphate_star	Indo-Pacific	(27,27.25]	0.8397589	0.7738741	0.8751574
phosphate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.6628846	0.5749770	0.7329976
phosphate + phosphate_star	Indo-Pacific	(27.5,27.75]	0.1683280	0.0667166	0.2759158
phosphate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.2199671	-0.3498191	-0.1465534
phosphate + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.1801695	-0.3944461	-0.0418488
phosphate + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.2753053	-0.4274899	-0.1860869
phosphate + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.3003929	-0.4094353	-0.2405122
phosphate + phosphate_star	Indo-Pacific	(28.1, Inf]	0.0095857	-0.0648941	0.0644290
sal + aou	Atlantic	(-Inf,26]	-0.4880278	-0.6297458	-0.2911549
sal + aou	Atlantic	(26,26.5]	-0.3010765	-0.3947796	-0.2525794
sal + aou	Atlantic	(26.5,26.75]	0.2761758	0.1499132	0.3972617
sal + aou	Atlantic	(26.75,27]	0.3679505	0.2435178	0.5069035
sal + aou	Atlantic	(27,27.25]	0.4172024	0.3385285	0.4787338
sal + aou	Atlantic	(27.25,27.5]	0.3450243	0.2909075	0.4498068
sal + aou	Atlantic	(27.5,27.75]	0.6514551	0.6057180	0.7300843
sal + aou	Atlantic	(27.75,27.85]	0.4788323	0.4402425	0.5110942
sal + aou	Atlantic	(27.85,27.95]	0.1649079	0.0800366	0.3098657
sal + aou	Atlantic	(27.95,28.05]	-0.1635266	-0.2337764	-0.0983594
sal + aou	Atlantic	(28.05,28.1]	-0.5519284	-0.6505962	-0.4113192
sal + aou	Atlantic	(28.1,28.15]	-0.7569924	-0.7812825	-0.7262446
sal + aou	Atlantic	(28.15,28.2]	-0.8159010	-0.8282104	-0.7965459
sal + aou	Atlantic	(28.2, Inf]	-0.7732037	-0.9135663	-0.6860810
sal + aou	Indo-Pacific	(-Inf,26]	-0.1269951	-0.2352406	0.0836627
sal + aou	Indo-Pacific	(26,26.5]	-0.1591308	-0.3682360	0.0597003
sal + aou	Indo-Pacific	(26.5,26.75]	-0.1023540	-0.5257701	0.2966579
sal + aou	Indo-Pacific	(26.75,27]	-0.3282503	-0.5978567	-0.0616514
sal + aou	Indo-Pacific	(27,27.25]	-0.6146385	-0.7465237	-0.5122575
sal + aou	Indo-Pacific	(27.25,27.5]	-0.4703025	-0.6269523	-0.3010905
sal + aou	Indo-Pacific	(27.5,27.75]	0.1129651	0.0350890	0.2527742
sal + aou	Indo-Pacific	(27.75,27.85]	0.5524680	0.4931705	0.6039984
sal + aou	Indo-Pacific	(27.85,27.95]	0.6531728	0.5562537	0.7076165
sal + aou	Indo-Pacific	(27.95,28.05]	0.8211297	0.7320345	0.9169192
sal + aou	Indo-Pacific	(28.05,28.1]	0.8745179	0.7948951	0.9512835
sal + aou	Indo-Pacific	(28.1, Inf]	0.4199145	0.3765607	0.4695770
sal + nitrate	Atlantic	(-Inf,26]	-0.7805850	-0.8853444	-0.7251922
sal + nitrate	Atlantic	(26,26.5]	-0.3356223	-0.4364730	-0.2645410
sal + nitrate	Atlantic	(26.5,26.75]	0.1780714	0.0295967	0.3220833
sal + nitrate	Atlantic	(26.75,27]	0.3055998	0.1922103	0.4512933
sal + nitrate	Atlantic	(27,27.25]	0.2805926	0.1874691	0.3584915
sal + nitrate	Atlantic	(27.25,27.5]	0.0532450	-0.0036474	0.1136587
sal + nitrate	Atlantic	(27.5,27.75]	0.3977458	0.3336298	0.4996230
sal + nitrate	Atlantic	(27.75,27.85]	-0.1506164	-0.2590104	-0.0275256
sal + nitrate	Atlantic	(27.85,27.95]	-0.2621525	-0.4941231	0.0009658
sal + nitrate	Atlantic	(27.95,28.05]	-0.5738144	-0.7407552	-0.3646502
sal + nitrate	Atlantic	(28.05,28.1]	-0.8588069	-0.9039084	-0.7796718
sal + nitrate	Atlantic	(28.1,28.15]	-0.9207758	-0.9396723	-0.9035569
sal + nitrate	Atlantic	(28.15,28.2]	-0.9217372	-0.9385118	-0.8969298
sal + nitrate	Atlantic	(28.2, Inf]	-0.8757703	-0.9333853	-0.8410973
sal + nitrate	Indo-Pacific	(-Inf,26]	-0.2888893	-0.4722432	-0.0235043
sal + nitrate	Indo-Pacific	(26,26.5]	-0.3998758	-0.6130265	-0.2925442
sal + nitrate	Indo-Pacific	(26.5,26.75]	-0.2922906	-0.7066533	0.2453023
sal + nitrate	Indo-Pacific	(26.75,27]	-0.4605347	-0.7596125	-0.0357359
sal + nitrate	Indo-Pacific	(27,27.25]	-0.6906100	-0.8357859	-0.5541331
sal + nitrate	Indo-Pacific	(27.25,27.5]	-0.5318816	-0.7205798	-0.3766574
sal + nitrate	Indo-Pacific	(27.5,27.75]	0.0819446	-0.0436609	0.2224781
sal + nitrate	Indo-Pacific	(27.75,27.85]	0.5344423	0.3441320	0.7098014
sal + nitrate	Indo-Pacific	(27.85,27.95]	0.6273011	0.4279930	0.8124964
sal + nitrate	Indo-Pacific	(27.95,28.05]	0.7527457	0.6075705	0.8998300
sal + nitrate	Indo-Pacific	(28.05,28.1]	0.8092628	0.6823630	0.9312762
sal + nitrate	Indo-Pacific	(28.1, Inf]	0.3497861	0.3073480	0.4343115
sal + phosphate	Atlantic	(-Inf,26]	-0.2634699	-0.5704451	0.1905488
sal + phosphate	Atlantic	(26,26.5]	-0.6016458	-0.7008117	-0.5071761
sal + phosphate	Atlantic	(26.5,26.75]	-0.0679592	-0.2769129	0.1268859
sal + phosphate	Atlantic	(26.75,27]	0.1509119	0.0107349	0.3358454
sal + phosphate	Atlantic	(27,27.25]	0.1313552	0.0493750	0.2441184
sal + phosphate	Atlantic	(27.25,27.5]	-0.0584410	-0.1009308	-0.0069251
sal + phosphate	Atlantic	(27.5,27.75]	0.2965439	0.2296461	0.3854752
sal + phosphate	Atlantic	(27.75,27.85]	-0.2026870	-0.3165910	-0.0795108
sal + phosphate	Atlantic	(27.85,27.95]	-0.2990234	-0.5257715	-0.0436517
sal + phosphate	Atlantic	(27.95,28.05]	-0.5925047	-0.7556068	-0.3934297
sal + phosphate	Atlantic	(28.05,28.1]	-0.8680728	-0.9089384	-0.7958198
sal + phosphate	Atlantic	(28.1,28.15]	-0.9237993	-0.9423463	-0.9091900
sal + phosphate	Atlantic	(28.15,28.2]	-0.8997568	-0.9191029	-0.8692714
sal + phosphate	Atlantic	(28.2, Inf]	-0.8218095	-0.8959124	-0.7804053
sal + phosphate	Indo-Pacific	(-Inf,26]	-0.2899994	-0.4325524	-0.0927175
sal + phosphate	Indo-Pacific	(26,26.5]	-0.3486475	-0.5766554	-0.1878796
sal + phosphate	Indo-Pacific	(26.5,26.75]	-0.2366586	-0.6650635	0.2795816
sal + phosphate	Indo-Pacific	(26.75,27]	-0.4113744	-0.7225031	0.0209019
sal + phosphate	Indo-Pacific	(27,27.25]	-0.6467305	-0.8018616	-0.5058038
sal + phosphate	Indo-Pacific	(27.25,27.5]	-0.4951411	-0.6945937	-0.3599335
sal + phosphate	Indo-Pacific	(27.5,27.75]	0.0866513	-0.0343705	0.1800686
sal + phosphate	Indo-Pacific	(27.75,27.85]	0.5248911	0.3994596	0.6244096
sal + phosphate	Indo-Pacific	(27.85,27.95]	0.6213048	0.4816447	0.7354224
sal + phosphate	Indo-Pacific	(27.95,28.05]	0.7746624	0.6632506	0.8991955
sal + phosphate	Indo-Pacific	(28.05,28.1]	0.8315074	0.7318982	0.9340767
sal + phosphate	Indo-Pacific	(28.1, Inf]	0.4124783	0.3613395	0.4838194
sal + phosphate_star	Atlantic	(-Inf,26]	-0.0080585	-0.2669527	0.1672582
sal + phosphate_star	Atlantic	(26,26.5]	-0.8788261	-0.9018191	-0.8393845
sal + phosphate_star	Atlantic	(26.5,26.75]	-0.8529400	-0.8563035	-0.8499332
sal + phosphate_star	Atlantic	(26.75,27]	-0.7892723	-0.8323985	-0.7363805
sal + phosphate_star	Atlantic	(27,27.25]	-0.7131602	-0.8014383	-0.6641904
sal + phosphate_star	Atlantic	(27.25,27.5]	-0.7180929	-0.7575358	-0.6678732
sal + phosphate_star	Atlantic	(27.5,27.75]	-0.3825368	-0.4419758	-0.3502262
sal + phosphate_star	Atlantic	(27.75,27.85]	-0.5869567	-0.7364439	-0.4835761
sal + phosphate_star	Atlantic	(27.85,27.95]	-0.5675892	-0.7716905	-0.3591151
sal + phosphate_star	Atlantic	(27.95,28.05]	-0.7458864	-0.8902573	-0.5788050
sal + phosphate_star	Atlantic	(28.05,28.1]	-0.9351628	-0.9740254	-0.8701098
sal + phosphate_star	Atlantic	(28.1,28.15]	-0.9651252	-0.9840005	-0.9493398
sal + phosphate_star	Atlantic	(28.15,28.2]	-0.9327978	-0.9623435	-0.8884342
sal + phosphate_star	Atlantic	(28.2, Inf]	-0.8372059	-0.8902166	-0.8090015
sal + phosphate_star	Indo-Pacific	(-Inf,26]	-0.6557842	-0.7971967	-0.5315460
sal + phosphate_star	Indo-Pacific	(26,26.5]	-0.8251754	-0.9225691	-0.7012456
sal + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.7383916	-0.9485642	-0.3491374
sal + phosphate_star	Indo-Pacific	(26.75,27]	-0.7382609	-0.9594995	-0.3073270
sal + phosphate_star	Indo-Pacific	(27,27.25]	-0.8091789	-0.9379150	-0.5549451
sal + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.6235508	-0.8698473	-0.1624851
sal + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.3992599	-0.8296891	0.3523663
sal + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.6285446	-0.8909010	-0.2048442
sal + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.5908703	-0.7572140	-0.3874508
sal + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.6615690	-0.7136928	-0.6222811
sal + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.6732852	-0.7307761	-0.6333426
sal + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.1919914	-0.2480392	-0.1047810
sal + silicate	Atlantic	(-Inf,26]	-0.9259519	-0.9691366	-0.8776774
sal + silicate	Atlantic	(26,26.5]	0.1320626	0.1082798	0.1696112
sal + silicate	Atlantic	(26.5,26.75]	0.3318140	0.2881364	0.3629333
sal + silicate	Atlantic	(26.75,27]	0.1413918	0.0912378	0.2401179
sal + silicate	Atlantic	(27,27.25]	-0.0369493	-0.1684586	0.0505342
sal + silicate	Atlantic	(27.25,27.5]	-0.2363134	-0.3512697	-0.1082805
sal + silicate	Atlantic	(27.5,27.75]	0.0665141	-0.0157102	0.1644681
sal + silicate	Atlantic	(27.75,27.85]	-0.4498937	-0.5521069	-0.3899805
sal + silicate	Atlantic	(27.85,27.95]	-0.5508854	-0.7204985	-0.4049927
sal + silicate	Atlantic	(27.95,28.05]	-0.7549946	-0.8456543	-0.6710346
sal + silicate	Atlantic	(28.05,28.1]	-0.9150576	-0.9273671	-0.9026387
sal + silicate	Atlantic	(28.1,28.15]	-0.9116977	-0.9243727	-0.8973534
sal + silicate	Atlantic	(28.15,28.2]	-0.7479332	-0.7835241	-0.7234840
sal + silicate	Atlantic	(28.2, Inf]	-0.4304280	-0.6653972	-0.2598631
sal + silicate	Indo-Pacific	(-Inf,26]	-0.5303713	-0.6545488	-0.4191205
sal + silicate	Indo-Pacific	(26,26.5]	-0.5439923	-0.6889962	-0.4525285
sal + silicate	Indo-Pacific	(26.5,26.75]	-0.4909205	-0.8067729	-0.0582296
sal + silicate	Indo-Pacific	(26.75,27]	-0.5719876	-0.7924604	-0.2096826
sal + silicate	Indo-Pacific	(27,27.25]	-0.7328873	-0.8425644	-0.5889818
sal + silicate	Indo-Pacific	(27.25,27.5]	-0.5949773	-0.7557692	-0.4303808
sal + silicate	Indo-Pacific	(27.5,27.75]	0.0063161	-0.1034892	0.1691363
sal + silicate	Indo-Pacific	(27.75,27.85]	0.4738031	0.2707217	0.6442502
sal + silicate	Indo-Pacific	(27.85,27.95]	0.5844419	0.3839527	0.7482499
sal + silicate	Indo-Pacific	(27.95,28.05]	0.7614749	0.6213084	0.9063630
sal + silicate	Indo-Pacific	(28.05,28.1]	0.8308323	0.7226196	0.9406741
sal + silicate	Indo-Pacific	(28.1, Inf]	0.7148457	0.6642123	0.8003979
sal + temp	Atlantic	(-Inf,26]	0.7176934	0.6325095	0.8004715
sal + temp	Atlantic	(26,26.5]	0.9512797	0.9392136	0.9651984
sal + temp	Atlantic	(26.5,26.75]	0.9677032	0.9656763	0.9704285
sal + temp	Atlantic	(26.75,27]	0.9721944	0.9681713	0.9777094
sal + temp	Atlantic	(27,27.25]	0.9670385	0.9583124	0.9762348
sal + temp	Atlantic	(27.25,27.5]	0.9698169	0.9631870	0.9745583
sal + temp	Atlantic	(27.5,27.75]	0.9700390	0.9636051	0.9765809
sal + temp	Atlantic	(27.75,27.85]	0.9756905	0.9711434	0.9815830
sal + temp	Atlantic	(27.85,27.95]	0.9661002	0.9597387	0.9756005
sal + temp	Atlantic	(27.95,28.05]	0.9547466	0.9368552	0.9723336
sal + temp	Atlantic	(28.05,28.1]	0.9744509	0.9602941	0.9831751
sal + temp	Atlantic	(28.1,28.15]	0.9652008	0.9510802	0.9755045
sal + temp	Atlantic	(28.15,28.2]	0.9544313	0.9193150	0.9746313
sal + temp	Atlantic	(28.2, Inf]	0.9149607	0.8730451	0.9385911
sal + temp	Indo-Pacific	(-Inf,26]	0.6677727	0.4122404	0.8571435
sal + temp	Indo-Pacific	(26,26.5]	0.9445798	0.9062663	0.9649812
sal + temp	Indo-Pacific	(26.5,26.75]	0.9815215	0.9735333	0.9857695
sal + temp	Indo-Pacific	(26.75,27]	0.9831866	0.9789510	0.9861871
sal + temp	Indo-Pacific	(27,27.25]	0.9774517	0.9676047	0.9835457
sal + temp	Indo-Pacific	(27.25,27.5]	0.9292637	0.9136833	0.9493216
sal + temp	Indo-Pacific	(27.5,27.75]	0.8246747	0.7818913	0.8917702
sal + temp	Indo-Pacific	(27.75,27.85]	0.9491526	0.9280029	0.9634177
sal + temp	Indo-Pacific	(27.85,27.95]	0.9223148	0.8987582	0.9341278
sal + temp	Indo-Pacific	(27.95,28.05]	0.9297484	0.9114307	0.9393087
sal + temp	Indo-Pacific	(28.05,28.1]	0.9720807	0.9652904	0.9765410
sal + temp	Indo-Pacific	(28.1, Inf]	0.5639799	0.5011195	0.6098757
silicate + phosphate	Atlantic	(-Inf,26]	0.0811897	-0.5060898	0.3899519
silicate + phosphate	Atlantic	(26,26.5]	0.1441628	0.0143240	0.2463422
silicate + phosphate	Atlantic	(26.5,26.75]	0.5498100	0.5382184	0.5696591
silicate + phosphate	Atlantic	(26.75,27]	0.8426104	0.8266489	0.8506491
silicate + phosphate	Atlantic	(27,27.25]	0.9049260	0.8895043	0.9187348
silicate + phosphate	Atlantic	(27.25,27.5]	0.8991908	0.8698228	0.9344398
silicate + phosphate	Atlantic	(27.5,27.75]	0.9207969	0.9114171	0.9387673
silicate + phosphate	Atlantic	(27.75,27.85]	0.9307042	0.9098987	0.9610751
silicate + phosphate	Atlantic	(27.85,27.95]	0.9383140	0.9074176	0.9624730
silicate + phosphate	Atlantic	(27.95,28.05]	0.9518115	0.9192322	0.9697930
silicate + phosphate	Atlantic	(28.05,28.1]	0.9721902	0.9519964	0.9832978
silicate + phosphate	Atlantic	(28.1,28.15]	0.9774730	0.9654534	0.9842592
silicate + phosphate	Atlantic	(28.15,28.2]	0.9487906	0.9345768	0.9604843
silicate + phosphate	Atlantic	(28.2, Inf]	0.8382060	0.7914193	0.9042189
silicate + phosphate	Indo-Pacific	(-Inf,26]	0.8725481	0.8263810	0.9310530
silicate + phosphate	Indo-Pacific	(26,26.5]	0.8793153	0.8600021	0.8919918
silicate + phosphate	Indo-Pacific	(26.5,26.75]	0.8718143	0.8588209	0.8971028
silicate + phosphate	Indo-Pacific	(26.75,27]	0.9164540	0.8896558	0.9372115
silicate + phosphate	Indo-Pacific	(27,27.25]	0.9504863	0.9355750	0.9652388
silicate + phosphate	Indo-Pacific	(27.25,27.5]	0.9652037	0.9564391	0.9774451
silicate + phosphate	Indo-Pacific	(27.5,27.75]	0.9748440	0.9659599	0.9837796
silicate + phosphate	Indo-Pacific	(27.75,27.85]	0.9848428	0.9762454	0.9900466
silicate + phosphate	Indo-Pacific	(27.85,27.95]	0.9863765	0.9793376	0.9903277
silicate + phosphate	Indo-Pacific	(27.95,28.05]	0.9900556	0.9868203	0.9926068
silicate + phosphate	Indo-Pacific	(28.05,28.1]	0.9944837	0.9936799	0.9959203
silicate + phosphate	Indo-Pacific	(28.1, Inf]	0.8577185	0.8444851	0.8689625
silicate + phosphate_star	Atlantic	(-Inf,26]	-0.0335806	-0.3488916	0.2782834
silicate + phosphate_star	Atlantic	(26,26.5]	-0.2806392	-0.3446276	-0.2213767
silicate + phosphate_star	Atlantic	(26.5,26.75]	-0.0443064	-0.0475298	-0.0388830
silicate + phosphate_star	Atlantic	(26.75,27]	0.3012369	0.2822694	0.3223912
silicate + phosphate_star	Atlantic	(27,27.25]	0.6320884	0.6068861	0.6487657
silicate + phosphate_star	Atlantic	(27.25,27.5]	0.7890331	0.7532558	0.8220966
silicate + phosphate_star	Atlantic	(27.5,27.75]	0.8387576	0.8052466	0.8648111
silicate + phosphate_star	Atlantic	(27.75,27.85]	0.9465806	0.9236947	0.9734911
silicate + phosphate_star	Atlantic	(27.85,27.95]	0.9781410	0.9730656	0.9843509
silicate + phosphate_star	Atlantic	(27.95,28.05]	0.9508612	0.9339749	0.9608625
silicate + phosphate_star	Atlantic	(28.05,28.1]	0.9433903	0.9336499	0.9508591
silicate + phosphate_star	Atlantic	(28.1,28.15]	0.9408314	0.9356371	0.9439806
silicate + phosphate_star	Atlantic	(28.15,28.2]	0.9008763	0.8666544	0.9254849
silicate + phosphate_star	Atlantic	(28.2, Inf]	0.8263454	0.7583185	0.9073848
silicate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7836498	0.6954147	0.8423909
silicate + phosphate_star	Indo-Pacific	(26,26.5]	0.7628260	0.7188706	0.7970002
silicate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.8039845	0.7432946	0.8802671
silicate + phosphate_star	Indo-Pacific	(26.75,27]	0.8140259	0.7931428	0.8359998
silicate + phosphate_star	Indo-Pacific	(27,27.25]	0.8666090	0.8531051	0.8806521
silicate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.7071863	0.6668058	0.7580596
silicate + phosphate_star	Indo-Pacific	(27.5,27.75]	0.2481209	0.1804491	0.3564092
silicate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.1609524	-0.2996659	-0.0439014
silicate + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.1386766	-0.3633378	0.0356451
silicate + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.2691568	-0.4294628	-0.1842509
silicate + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.3158820	-0.4242981	-0.2563730
silicate + phosphate_star	Indo-Pacific	(28.1, Inf]	0.1451558	0.0659435	0.2201958
temp + aou	Atlantic	(-Inf,26]	-0.6324802	-0.7781285	-0.3478207
temp + aou	Atlantic	(26,26.5]	-0.3945204	-0.4782837	-0.3489134
temp + aou	Atlantic	(26.5,26.75]	0.1570894	0.0453774	0.2747107
temp + aou	Atlantic	(26.75,27]	0.2852153	0.1650138	0.4250416
temp + aou	Atlantic	(27,27.25]	0.3913423	0.3195195	0.4298693
temp + aou	Atlantic	(27.25,27.5]	0.3719559	0.3213901	0.4693318
temp + aou	Atlantic	(27.5,27.75]	0.6342125	0.5955682	0.6872084
temp + aou	Atlantic	(27.75,27.85]	0.4617035	0.4225335	0.4982035
temp + aou	Atlantic	(27.85,27.95]	0.1357834	0.0573182	0.2918144
temp + aou	Atlantic	(27.95,28.05]	-0.0865304	-0.1746778	-0.0016714
temp + aou	Atlantic	(28.05,28.1]	-0.4264101	-0.5103509	-0.2891597
temp + aou	Atlantic	(28.1,28.15]	-0.6337310	-0.6488711	-0.6036335
temp + aou	Atlantic	(28.15,28.2]	-0.7520327	-0.7768854	-0.7255727
temp + aou	Atlantic	(28.2, Inf]	-0.7697744	-0.9166369	-0.6598601
temp + aou	Indo-Pacific	(-Inf,26]	-0.3891114	-0.5210176	-0.2613588
temp + aou	Indo-Pacific	(26,26.5]	-0.1851338	-0.3783161	0.0299976
temp + aou	Indo-Pacific	(26.5,26.75]	-0.0952191	-0.5072291	0.2964849
temp + aou	Indo-Pacific	(26.75,27]	-0.2892748	-0.5467683	-0.0177338
temp + aou	Indo-Pacific	(27,27.25]	-0.5932284	-0.7215968	-0.5090461
temp + aou	Indo-Pacific	(27.25,27.5]	-0.4419143	-0.5679629	-0.3146156
temp + aou	Indo-Pacific	(27.5,27.75]	0.1109351	0.0511335	0.2240068
temp + aou	Indo-Pacific	(27.75,27.85]	0.5598072	0.5141965	0.5989387
temp + aou	Indo-Pacific	(27.85,27.95]	0.6435878	0.5491733	0.7439118
temp + aou	Indo-Pacific	(27.95,28.05]	0.7820714	0.7250123	0.8715762
temp + aou	Indo-Pacific	(28.05,28.1]	0.8398813	0.7808380	0.9135234
temp + aou	Indo-Pacific	(28.1, Inf]	0.8204350	0.7656620	0.8772004
temp + nitrate	Atlantic	(-Inf,26]	-0.8816868	-0.9020774	-0.8666467
temp + nitrate	Atlantic	(26,26.5]	-0.4036392	-0.4956430	-0.3115011
temp + nitrate	Atlantic	(26.5,26.75]	0.0507386	-0.0778271	0.1898725
temp + nitrate	Atlantic	(26.75,27]	0.2089678	0.0985661	0.3572085
temp + nitrate	Atlantic	(27,27.25]	0.2482441	0.1647595	0.2981806
temp + nitrate	Atlantic	(27.25,27.5]	0.0945857	0.0419817	0.1496231
temp + nitrate	Atlantic	(27.5,27.75]	0.3732176	0.3138532	0.4600792
temp + nitrate	Atlantic	(27.75,27.85]	-0.2086477	-0.2978102	-0.0885080
temp + nitrate	Atlantic	(27.85,27.95]	-0.3150976	-0.5268646	-0.0510393
temp + nitrate	Atlantic	(27.95,28.05]	-0.5749483	-0.7207541	-0.3613450
temp + nitrate	Atlantic	(28.05,28.1]	-0.7928289	-0.8540910	-0.6929821
temp + nitrate	Atlantic	(28.1,28.15]	-0.8476119	-0.8729836	-0.8144404
temp + nitrate	Atlantic	(28.15,28.2]	-0.8821700	-0.8988521	-0.8553330
temp + nitrate	Atlantic	(28.2, Inf]	-0.8742988	-0.9302068	-0.7654703
temp + nitrate	Indo-Pacific	(-Inf,26]	-0.5974751	-0.7062170	-0.4556109
temp + nitrate	Indo-Pacific	(26,26.5]	-0.4215421	-0.6257891	-0.3126565
temp + nitrate	Indo-Pacific	(26.5,26.75]	-0.2777736	-0.6941098	0.2809113
temp + nitrate	Indo-Pacific	(26.75,27]	-0.4296258	-0.7248316	0.0027949
temp + nitrate	Indo-Pacific	(27,27.25]	-0.6817534	-0.8271200	-0.5333551
temp + nitrate	Indo-Pacific	(27.25,27.5]	-0.5369550	-0.6931369	-0.3838438
temp + nitrate	Indo-Pacific	(27.5,27.75]	0.0154254	-0.0839480	0.1240119
temp + nitrate	Indo-Pacific	(27.75,27.85]	0.5213374	0.3643604	0.6976795
temp + nitrate	Indo-Pacific	(27.85,27.95]	0.5924468	0.4144015	0.8004996
temp + nitrate	Indo-Pacific	(27.95,28.05]	0.6994975	0.5924207	0.8392940
temp + nitrate	Indo-Pacific	(28.05,28.1]	0.7673190	0.6652057	0.8853700
temp + nitrate	Indo-Pacific	(28.1, Inf]	0.7517291	0.6476722	0.8507986
temp + phosphate	Atlantic	(-Inf,26]	-0.4998347	-0.8170835	0.1126926
temp + phosphate	Atlantic	(26,26.5]	-0.6583229	-0.7384239	-0.5686594
temp + phosphate	Atlantic	(26.5,26.75]	-0.1734017	-0.3592577	0.0073612
temp + phosphate	Atlantic	(26.75,27]	0.0659141	-0.0669493	0.2470463
temp + phosphate	Atlantic	(27,27.25]	0.1128330	0.0431398	0.1947227
temp + phosphate	Atlantic	(27.25,27.5]	-0.0089122	-0.0459314	0.0361043
temp + phosphate	Atlantic	(27.5,27.75]	0.2780706	0.2159665	0.3520269
temp + phosphate	Atlantic	(27.75,27.85]	-0.2604632	-0.3543491	-0.1409983
temp + phosphate	Atlantic	(27.85,27.95]	-0.3517305	-0.5569500	-0.0969425
temp + phosphate	Atlantic	(27.95,28.05]	-0.5957570	-0.7370944	-0.3936887
temp + phosphate	Atlantic	(28.05,28.1]	-0.8039801	-0.8600856	-0.7126415
temp + phosphate	Atlantic	(28.1,28.15]	-0.8549820	-0.8785193	-0.8275898
temp + phosphate	Atlantic	(28.15,28.2]	-0.8752062	-0.8872023	-0.8563895
temp + phosphate	Atlantic	(28.2, Inf]	-0.8554226	-0.9234856	-0.7505551
temp + phosphate	Indo-Pacific	(-Inf,26]	-0.5485100	-0.6669775	-0.4103105
temp + phosphate	Indo-Pacific	(26,26.5]	-0.3851010	-0.5941639	-0.2253328
temp + phosphate	Indo-Pacific	(26.5,26.75]	-0.2237052	-0.6514599	0.3040940
temp + phosphate	Indo-Pacific	(26.75,27]	-0.3830288	-0.6837104	0.0525708
temp + phosphate	Indo-Pacific	(27,27.25]	-0.6366244	-0.7874743	-0.4855602
temp + phosphate	Indo-Pacific	(27.25,27.5]	-0.4972106	-0.6641503	-0.3637204
temp + phosphate	Indo-Pacific	(27.5,27.75]	0.0383841	-0.0568326	0.1120705
temp + phosphate	Indo-Pacific	(27.75,27.85]	0.5184135	0.4162555	0.6337433
temp + phosphate	Indo-Pacific	(27.85,27.95]	0.5941209	0.4619984	0.7500820
temp + phosphate	Indo-Pacific	(27.95,28.05]	0.7181403	0.6372243	0.8402262
temp + phosphate	Indo-Pacific	(28.05,28.1]	0.7871102	0.7085630	0.8883146
temp + phosphate	Indo-Pacific	(28.1, Inf]	0.7778879	0.6939624	0.8647605
temp + phosphate_star	Atlantic	(-Inf,26]	-0.4156022	-0.8296744	-0.1272868
temp + phosphate_star	Atlantic	(26,26.5]	-0.8707027	-0.9096187	-0.8311299
temp + phosphate_star	Atlantic	(26.5,26.75]	-0.8686428	-0.8737552	-0.8656528
temp + phosphate_star	Atlantic	(26.75,27]	-0.8189353	-0.8584123	-0.7761897
temp + phosphate_star	Atlantic	(27,27.25]	-0.7143921	-0.7864797	-0.6673298
temp + phosphate_star	Atlantic	(27.25,27.5]	-0.6780199	-0.7127455	-0.6325976
temp + phosphate_star	Atlantic	(27.5,27.75]	-0.3998117	-0.4667631	-0.3654143
temp + phosphate_star	Atlantic	(27.75,27.85]	-0.6486025	-0.7732987	-0.5525116
temp + phosphate_star	Atlantic	(27.85,27.95]	-0.6266745	-0.8022607	-0.4286911
temp + phosphate_star	Atlantic	(27.95,28.05]	-0.7867158	-0.9097936	-0.6234304
temp + phosphate_star	Atlantic	(28.05,28.1]	-0.9125016	-0.9549665	-0.8337829
temp + phosphate_star	Atlantic	(28.1,28.15]	-0.9396605	-0.9623469	-0.9153032
temp + phosphate_star	Atlantic	(28.15,28.2]	-0.9408770	-0.9605208	-0.9120716
temp + phosphate_star	Atlantic	(28.2, Inf]	-0.8933698	-0.9374072	-0.8095274
temp + phosphate_star	Indo-Pacific	(-Inf,26]	-0.8806945	-0.9304814	-0.8233223
temp + phosphate_star	Indo-Pacific	(26,26.5]	-0.8783450	-0.9525294	-0.7916037
temp + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.7250742	-0.9547833	-0.2938743
temp + phosphate_star	Indo-Pacific	(26.75,27]	-0.7462677	-0.9659611	-0.3124045
temp + phosphate_star	Indo-Pacific	(27,27.25]	-0.8346428	-0.9585721	-0.5879120
temp + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.7458885	-0.9527505	-0.3369728
temp + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.6749821	-0.9610746	-0.1192223
temp + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.7374410	-0.9272579	-0.4047245
temp + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.7444655	-0.8546710	-0.5845315
temp + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.7907788	-0.8247575	-0.7641775
temp + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.7463068	-0.7866755	-0.7122502
temp + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.4536922	-0.5389227	-0.3611435
temp + silicate	Atlantic	(-Inf,26]	-0.6454560	-0.7657778	-0.5790288
temp + silicate	Atlantic	(26,26.5]	0.1118385	0.0546682	0.2045813
temp + silicate	Atlantic	(26.5,26.75]	0.2171482	0.1962322	0.2343576
temp + silicate	Atlantic	(26.75,27]	0.0182839	-0.0307418	0.1160706
temp + silicate	Atlantic	(27,27.25]	-0.0735632	-0.1959726	-0.0041197
temp + silicate	Atlantic	(27.25,27.5]	-0.1853061	-0.2910873	-0.0652781
temp + silicate	Atlantic	(27.5,27.75]	0.0528771	-0.0319743	0.1448985
temp + silicate	Atlantic	(27.75,27.85]	-0.4961480	-0.5726684	-0.4513976
temp + silicate	Atlantic	(27.85,27.95]	-0.5933420	-0.7352075	-0.4594374
temp + silicate	Atlantic	(27.95,28.05]	-0.7565319	-0.8235092	-0.6810118
temp + silicate	Atlantic	(28.05,28.1]	-0.8568288	-0.8759931	-0.8388308
temp + silicate	Atlantic	(28.1,28.15]	-0.8546820	-0.8645379	-0.8377091
temp + silicate	Atlantic	(28.15,28.2]	-0.7595987	-0.7893107	-0.7202722
temp + silicate	Atlantic	(28.2, Inf]	-0.6132891	-0.8036823	-0.5088342
temp + silicate	Indo-Pacific	(-Inf,26]	-0.6274492	-0.7565382	-0.4101698
temp + silicate	Indo-Pacific	(26,26.5]	-0.5672626	-0.6937956	-0.4810487
temp + silicate	Indo-Pacific	(26.5,26.75]	-0.4723560	-0.7986756	-0.0062082
temp + silicate	Indo-Pacific	(26.75,27]	-0.5368691	-0.7550475	-0.1535766
temp + silicate	Indo-Pacific	(27,27.25]	-0.7279504	-0.8352499	-0.5750642
temp + silicate	Indo-Pacific	(27.25,27.5]	-0.6007822	-0.7302663	-0.4474948
temp + silicate	Indo-Pacific	(27.5,27.75]	-0.0641433	-0.1394131	0.0463259
temp + silicate	Indo-Pacific	(27.75,27.85]	0.4590533	0.2837173	0.6348512
temp + silicate	Indo-Pacific	(27.85,27.95]	0.5408378	0.3532845	0.7362707
temp + silicate	Indo-Pacific	(27.95,28.05]	0.6939496	0.5930890	0.8301091
temp + silicate	Indo-Pacific	(28.05,28.1]	0.7867108	0.7040190	0.8922580
temp + silicate	Indo-Pacific	(28.1, Inf]	0.6577338	0.5233098	0.8047545

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
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
bf19764	Donghe-Zhu	2021-03-22
3ec9d3d	Donghe-Zhu	2021-03-22
134ace1	Donghe-Zhu	2021-03-22
f6d70a4	Donghe-Zhu	2021-03-22
183443b	Donghe-Zhu	2021-03-21
2e6976b	Donghe-Zhu	2021-03-21
51a42bd	Donghe-Zhu	2021-03-16
f745381	Donghe-Zhu	2021-03-16
aecbf75	Donghe-Zhu	2021-03-14
1b2a0c2	Donghe-Zhu	2021-03-14
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]	0.1939092	0.0567936	0.3201461
aou	Atlantic	(26,26.5]	0.1273187	0.0921751	0.1974841
aou	Atlantic	(26.5,26.75]	-0.0728793	-0.3720434	0.3412244
aou	Atlantic	(26.75,27]	-0.1356466	-0.2761780	-0.0628141
aou	Atlantic	(27,27.25]	-0.5027904	-0.5574376	-0.4638464
aou	Atlantic	(27.25,27.5]	-0.5461762	-0.6407361	-0.3943111
aou	Atlantic	(27.5,27.75]	-0.5825266	-0.6163819	-0.5356891
aou	Atlantic	(27.75,27.85]	-0.5368735	-0.5955008	-0.4608950
aou	Atlantic	(27.85,27.95]	-0.8278011	-0.8728736	-0.7553501
aou	Atlantic	(27.95,28.05]	-0.7371271	-0.8440265	-0.5886437
aou	Atlantic	(28.05,28.1]	-0.8302666	-0.9175245	-0.7480919
aou	Atlantic	(28.1,28.15]	-0.9103317	-0.9145537	-0.9027905
aou	Atlantic	(28.15,28.2]	-0.9423221	-0.9444326	-0.9383951
aou	Atlantic	(28.2, Inf]	-0.8520611	-0.9523090	-0.7947379
aou	Indo-Pacific	(-Inf,26]	0.1654032	-0.0168846	0.4080635
aou	Indo-Pacific	(26,26.5]	-0.4041439	-0.4446846	-0.3705251
aou	Indo-Pacific	(26.5,26.75]	-0.6869975	-0.7422812	-0.6456969
aou	Indo-Pacific	(26.75,27]	-0.8146824	-0.8682078	-0.7504969
aou	Indo-Pacific	(27,27.25]	-0.7253673	-0.7421565	-0.7021976
aou	Indo-Pacific	(27.25,27.5]	-0.5635902	-0.6120229	-0.5059096
aou	Indo-Pacific	(27.5,27.75]	-0.0170241	-0.2572497	0.2993845
aou	Indo-Pacific	(27.75,27.85]	0.3830486	-0.0151391	0.7331920
aou	Indo-Pacific	(27.85,27.95]	0.4796788	0.1492045	0.6862893
aou	Indo-Pacific	(27.95,28.05]	0.2959716	0.0911123	0.3998470
aou	Indo-Pacific	(28.05,28.1]	0.2391783	0.0454678	0.3482730
aou	Indo-Pacific	(28.1, Inf]	0.4934624	0.3532745	0.5709571
nitrate	Atlantic	(-Inf,26]	0.0276479	-0.1461526	0.2327361
nitrate	Atlantic	(26,26.5]	-0.1365661	-0.1881883	-0.0752285
nitrate	Atlantic	(26.5,26.75]	-0.2311055	-0.5424120	0.2080959
nitrate	Atlantic	(26.75,27]	-0.2621286	-0.3818566	-0.1949438
nitrate	Atlantic	(27,27.25]	-0.6932895	-0.7803223	-0.6478797
nitrate	Atlantic	(27.25,27.5]	-0.8178751	-0.9056429	-0.7167108
nitrate	Atlantic	(27.5,27.75]	-0.9244217	-0.9459528	-0.9013126
nitrate	Atlantic	(27.75,27.85]	-0.9673300	-0.9766160	-0.9621788
nitrate	Atlantic	(27.85,27.95]	-0.9832907	-0.9866592	-0.9806066
nitrate	Atlantic	(27.95,28.05]	-0.9425942	-0.9431479	-0.9416221
nitrate	Atlantic	(28.05,28.1]	-0.9920074	-0.9923049	-0.9916390
nitrate	Atlantic	(28.1,28.15]	-0.9920729	-0.9934783	-0.9905714
nitrate	Atlantic	(28.15,28.2]	-0.9925717	-0.9959100	-0.9890716
nitrate	Atlantic	(28.2, Inf]	-0.9733039	-0.9896072	-0.9604728
nitrate	Indo-Pacific	(-Inf,26]	0.1419891	-0.0798582	0.3886846
nitrate	Indo-Pacific	(26,26.5]	-0.4928416	-0.5470538	-0.4005533
nitrate	Indo-Pacific	(26.5,26.75]	-0.7267807	-0.8003339	-0.6452254
nitrate	Indo-Pacific	(26.75,27]	-0.7589811	-0.7760844	-0.7462001
nitrate	Indo-Pacific	(27,27.25]	-0.6650846	-0.6986064	-0.6319798
nitrate	Indo-Pacific	(27.25,27.5]	-0.5509696	-0.5619765	-0.5291691
nitrate	Indo-Pacific	(27.5,27.75]	-0.0199859	-0.1717116	0.2179533
nitrate	Indo-Pacific	(27.75,27.85]	0.4762686	0.2272803	0.7488525
nitrate	Indo-Pacific	(27.85,27.95]	0.5739483	0.3648584	0.7230686
nitrate	Indo-Pacific	(27.95,28.05]	0.3621806	0.1296422	0.4882054
nitrate	Indo-Pacific	(28.05,28.1]	0.3189042	0.0971133	0.4531229
nitrate	Indo-Pacific	(28.1, Inf]	0.5289200	0.4013126	0.5943152
phosphate	Atlantic	(-Inf,26]	0.2765676	0.2097066	0.4063562
phosphate	Atlantic	(26,26.5]	0.1499276	0.0778316	0.2279471
phosphate	Atlantic	(26.5,26.75]	-0.1874969	-0.4390032	0.1998007
phosphate	Atlantic	(26.75,27]	-0.2677841	-0.3983846	-0.1926126
phosphate	Atlantic	(27,27.25]	-0.7067102	-0.7657589	-0.6683710
phosphate	Atlantic	(27.25,27.5]	-0.8315312	-0.9060221	-0.7534399
phosphate	Atlantic	(27.5,27.75]	-0.9282289	-0.9474735	-0.9118803
phosphate	Atlantic	(27.75,27.85]	-0.9713416	-0.9759169	-0.9680413
phosphate	Atlantic	(27.85,27.95]	-0.9820051	-0.9835305	-0.9795846
phosphate	Atlantic	(27.95,28.05]	-0.9438062	-0.9441811	-0.9433515
phosphate	Atlantic	(28.05,28.1]	-0.9904573	-0.9910741	-0.9899112
phosphate	Atlantic	(28.1,28.15]	-0.9912203	-0.9926449	-0.9904347
phosphate	Atlantic	(28.15,28.2]	-0.9913344	-0.9950333	-0.9860153
phosphate	Atlantic	(28.2, Inf]	-0.9837119	-0.9847037	-0.9824422
phosphate	Indo-Pacific	(-Inf,26]	0.1041443	-0.1003222	0.4015458
phosphate	Indo-Pacific	(26,26.5]	-0.5203066	-0.5279130	-0.5081041
phosphate	Indo-Pacific	(26.5,26.75]	-0.7898488	-0.8159864	-0.7661553
phosphate	Indo-Pacific	(26.75,27]	-0.8383949	-0.8484849	-0.8193133
phosphate	Indo-Pacific	(27,27.25]	-0.7486024	-0.7564879	-0.7393201
phosphate	Indo-Pacific	(27.25,27.5]	-0.6208098	-0.6706620	-0.5676989
phosphate	Indo-Pacific	(27.5,27.75]	-0.0407401	-0.2405232	0.2351208
phosphate	Indo-Pacific	(27.75,27.85]	0.4431406	0.1180500	0.7523678
phosphate	Indo-Pacific	(27.85,27.95]	0.5273533	0.2342279	0.7111802
phosphate	Indo-Pacific	(27.95,28.05]	0.3499946	0.1339974	0.4626453
phosphate	Indo-Pacific	(28.05,28.1]	0.2954387	0.0972152	0.3970355
phosphate	Indo-Pacific	(28.1, Inf]	0.4809596	0.3141368	0.5669917
phosphate_star	Atlantic	(-Inf,26]	0.2068372	0.0725513	0.3425477
phosphate_star	Atlantic	(26,26.5]	0.1762216	0.1026484	0.2249387
phosphate_star	Atlantic	(26.5,26.75]	-0.2696596	-0.3434372	-0.1669030
phosphate_star	Atlantic	(26.75,27]	-0.3353279	-0.3909133	-0.2525281
phosphate_star	Atlantic	(27,27.25]	-0.5324832	-0.6085773	-0.4422637
phosphate_star	Atlantic	(27.25,27.5]	-0.6722648	-0.7806344	-0.6106122
phosphate_star	Atlantic	(27.5,27.75]	-0.7056700	-0.7894496	-0.6383548
phosphate_star	Atlantic	(27.75,27.85]	-0.8947119	-0.9260042	-0.8564261
phosphate_star	Atlantic	(27.85,27.95]	-0.9118630	-0.9247628	-0.8991265
phosphate_star	Atlantic	(27.95,28.05]	-0.8666970	-0.8867074	-0.8459281
phosphate_star	Atlantic	(28.05,28.1]	-0.9437690	-0.9605106	-0.9212655
phosphate_star	Atlantic	(28.1,28.15]	-0.9586311	-0.9679692	-0.9479207
phosphate_star	Atlantic	(28.15,28.2]	-0.9754403	-0.9795158	-0.9695847
phosphate_star	Atlantic	(28.2, Inf]	-0.9774270	-0.9856129	-0.9706217
phosphate_star	Indo-Pacific	(-Inf,26]	0.1246755	-0.0282566	0.4139270
phosphate_star	Indo-Pacific	(26,26.5]	-0.4448006	-0.5278925	-0.3482196
phosphate_star	Indo-Pacific	(26.5,26.75]	-0.6232278	-0.6669765	-0.5622479
phosphate_star	Indo-Pacific	(26.75,27]	-0.4923976	-0.5409162	-0.4010207
phosphate_star	Indo-Pacific	(27,27.25]	-0.5154256	-0.5865801	-0.4469483
phosphate_star	Indo-Pacific	(27.25,27.5]	-0.5119566	-0.5604222	-0.4525957
phosphate_star	Indo-Pacific	(27.5,27.75]	-0.1380472	-0.2993626	0.0102078
phosphate_star	Indo-Pacific	(27.75,27.85]	0.3608601	0.0715435	0.6725259
phosphate_star	Indo-Pacific	(27.85,27.95]	0.3182672	0.2421506	0.4086417
phosphate_star	Indo-Pacific	(27.95,28.05]	0.4258558	0.3471244	0.5002877
phosphate_star	Indo-Pacific	(28.05,28.1]	0.4587738	0.3315723	0.5678710
phosphate_star	Indo-Pacific	(28.1, Inf]	-0.0057038	-0.0735058	0.1017891
sal	Atlantic	(-Inf,26]	0.5235576	0.3430976	0.7758945
sal	Atlantic	(26,26.5]	-0.1365873	-0.1583089	-0.1072133
sal	Atlantic	(26.5,26.75]	-0.0419140	-0.2743512	0.1503040
sal	Atlantic	(26.75,27]	-0.1745827	-0.2681319	-0.0843045
sal	Atlantic	(27,27.25]	-0.1793878	-0.3492129	-0.0298980
sal	Atlantic	(27.25,27.5]	-0.0051781	-0.1347363	0.1983661
sal	Atlantic	(27.5,27.75]	-0.3671384	-0.4844372	-0.2828167
sal	Atlantic	(27.75,27.85]	0.1826716	0.1228331	0.2936606
sal	Atlantic	(27.85,27.95]	0.2003045	-0.0160862	0.4255779
sal	Atlantic	(27.95,28.05]	0.3903411	0.1959060	0.5762345
sal	Atlantic	(28.05,28.1]	0.8117445	0.7281793	0.8604420
sal	Atlantic	(28.1,28.15]	0.8853524	0.8732148	0.9065890
sal	Atlantic	(28.15,28.2]	0.8979424	0.8683308	0.9200042
sal	Atlantic	(28.2, Inf]	0.7813062	0.7189026	0.8967255
sal	Indo-Pacific	(-Inf,26]	0.1078231	-0.1813043	0.5195593
sal	Indo-Pacific	(26,26.5]	0.1567072	0.0638279	0.2405139
sal	Indo-Pacific	(26.5,26.75]	0.1458058	-0.4667034	0.5151665
sal	Indo-Pacific	(26.75,27]	0.0441516	-0.4762590	0.4016720
sal	Indo-Pacific	(27,27.25]	0.1680323	-0.0653258	0.3818479
sal	Indo-Pacific	(27.25,27.5]	0.0770814	-0.1034815	0.2579540
sal	Indo-Pacific	(27.5,27.75]	-0.1857552	-0.3600080	-0.0297983
sal	Indo-Pacific	(27.75,27.85]	0.0322820	-0.2632920	0.3388148
sal	Indo-Pacific	(27.85,27.95]	0.1444822	-0.0260117	0.4688022
sal	Indo-Pacific	(27.95,28.05]	-0.1486796	-0.2085094	-0.0660088
sal	Indo-Pacific	(28.05,28.1]	-0.1475627	-0.1889458	-0.0762992
sal	Indo-Pacific	(28.1, Inf]	-0.0101481	-0.0800379	0.0250300
silicate	Atlantic	(-Inf,26]	-0.5413136	-0.7948139	-0.2069324
silicate	Atlantic	(26,26.5]	-0.5086799	-0.5717708	-0.4548248
silicate	Atlantic	(26.5,26.75]	-0.4576512	-0.5784652	-0.2270845
silicate	Atlantic	(26.75,27]	-0.5329269	-0.6460815	-0.4699403
silicate	Atlantic	(27,27.25]	-0.8446833	-0.8529629	-0.8400207
silicate	Atlantic	(27.25,27.5]	-0.9073665	-0.9137926	-0.9000058
silicate	Atlantic	(27.5,27.75]	-0.9086458	-0.9286694	-0.8983597
silicate	Atlantic	(27.75,27.85]	-0.9290536	-0.9364918	-0.9224933
silicate	Atlantic	(27.85,27.95]	-0.9083100	-0.9163718	-0.8948887
silicate	Atlantic	(27.95,28.05]	-0.8575681	-0.8788574	-0.8241589
silicate	Atlantic	(28.05,28.1]	-0.9424167	-0.9599852	-0.9089704
silicate	Atlantic	(28.1,28.15]	-0.9550012	-0.9704868	-0.9300112
silicate	Atlantic	(28.15,28.2]	-0.9258395	-0.9449094	-0.9129458
silicate	Atlantic	(28.2, Inf]	-0.8415033	-0.8510421	-0.8287792
silicate	Indo-Pacific	(-Inf,26]	-0.0009395	-0.2594104	0.3399756
silicate	Indo-Pacific	(26,26.5]	-0.6011897	-0.6384245	-0.5344884
silicate	Indo-Pacific	(26.5,26.75]	-0.7577840	-0.7746423	-0.7440526
silicate	Indo-Pacific	(26.75,27]	-0.7104246	-0.7412178	-0.6881082
silicate	Indo-Pacific	(27,27.25]	-0.6124492	-0.6423795	-0.5900114
silicate	Indo-Pacific	(27.25,27.5]	-0.4754283	-0.5125516	-0.4083837
silicate	Indo-Pacific	(27.5,27.75]	0.0490791	-0.1255349	0.3130330
silicate	Indo-Pacific	(27.75,27.85]	0.4996612	0.1997687	0.8064419
silicate	Indo-Pacific	(27.85,27.95]	0.5702547	0.2743325	0.7725990
silicate	Indo-Pacific	(27.95,28.05]	0.3800372	0.1496017	0.5094628
silicate	Indo-Pacific	(28.05,28.1]	0.3183942	0.1079063	0.4351506
silicate	Indo-Pacific	(28.1, Inf]	0.4275815	0.3222720	0.5257074
temp	Atlantic	(-Inf,26]	-0.1373169	-0.2541771	0.0532240
temp	Atlantic	(26,26.5]	-0.2872855	-0.2924073	-0.2806774
temp	Atlantic	(26.5,26.75]	-0.0333984	-0.2301086	0.0960821
temp	Atlantic	(26.75,27]	-0.1184390	-0.2178692	-0.0053359
temp	Atlantic	(27,27.25]	-0.1579538	-0.3458933	-0.0108612
temp	Atlantic	(27.25,27.5]	-0.0566691	-0.1805588	0.1323789
temp	Atlantic	(27.5,27.75]	-0.3470938	-0.4621605	-0.2758752
temp	Atlantic	(27.75,27.85]	0.2560935	0.2000737	0.3424005
temp	Atlantic	(27.85,27.95]	0.2695701	0.0582558	0.4652645
temp	Atlantic	(27.95,28.05]	0.4256955	0.2343442	0.5801718
temp	Atlantic	(28.05,28.1]	0.7510743	0.6573393	0.8142645
temp	Atlantic	(28.1,28.15]	0.8162747	0.7962807	0.8353957
temp	Atlantic	(28.15,28.2]	0.8643545	0.8371299	0.8800193
temp	Atlantic	(28.2, Inf]	0.8136747	0.6746238	0.9016948
temp	Indo-Pacific	(-Inf,26]	-0.4357013	-0.5654492	-0.3138807
temp	Indo-Pacific	(26,26.5]	0.0878110	-0.0198292	0.1789587
temp	Indo-Pacific	(26.5,26.75]	0.0935900	-0.5480314	0.4730420
temp	Indo-Pacific	(26.75,27]	-0.0011868	-0.5138477	0.3411896
temp	Indo-Pacific	(27,27.25]	0.1621804	-0.0831927	0.3743847
temp	Indo-Pacific	(27.25,27.5]	0.2032731	0.0133208	0.3764562
temp	Indo-Pacific	(27.5,27.75]	0.0823223	-0.0031883	0.2171040
temp	Indo-Pacific	(27.75,27.85]	0.0048966	-0.2463192	0.2002183
temp	Indo-Pacific	(27.85,27.95]	0.0758260	-0.0683423	0.3271845
temp	Indo-Pacific	(27.95,28.05]	-0.2309651	-0.3110882	-0.1872501
temp	Indo-Pacific	(28.05,28.1]	-0.2157717	-0.2753866	-0.1816707
temp	Indo-Pacific	(28.1, Inf]	0.2405607	0.0256889	0.4299582

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_1.0.5      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_1.0.0          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