eMLR - assumption testing

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Last updated: 2021-05-27

Checks: 7 0

Knit directory: emlr_mod_v_XXX/

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Rmd	8e8abf5	Jens Müller	2020-12-18	Initial commit

---

1 Required data

Required are:

• cleaned and prepared GLODAP-based synthetic cmorized model subsetting file

GLODAP <-
  read_csv(paste(path_version_data,
                 "GLODAPv2.2020_MLR_fitting_ready.csv",
                 sep = ""))

2 Predictor correlation

The correlation between:

• pairs of seven potential predictor variables and
• C* and seven potential predictor variables

were investigated based on:

• property-property plots and
• calculated correlation coefficients.

2.1 Correlation plots

For an overview, a random subset of data from all eras was plotted separately for both basins, with color indicating neutral density slabs (high density = dark-purple color).

for (i_basin in unique(GLODAP$basin)) {
# i_basin <- unique(GLODAP$basin)[1]

print(
GLODAP %>% 
  filter(basin == i_basin) %>% 
  sample_frac(0.05) %>% 
  ggpairs(columns = c(params_local$MLR_target,
                      params_local$MLR_predictors),
          upper = "blank",
          ggplot2::aes(col = gamma_slab, fill = gamma_slab, alpha = 0.01)) +
      scale_fill_viridis_d(direction = -1) +
      scale_color_viridis_d(direction = -1) +
      labs(title = paste("Basin:", i_basin ,"| era: all | subsample size: 5 % of",
                         nrow(GLODAP %>% filter(basin == i_basin))))
)
}

Past versions of predictor_correlation_per_basin-1.png

Version	Author	Date
a618f02	Donghe-Zhu	2021-05-27
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
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
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4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

Past versions of predictor_correlation_per_basin-2.png

Version	Author	Date
a618f02	Donghe-Zhu	2021-05-27
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
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

Past versions of predictor_correlation_per_basin-3.png

Version	Author	Date
a618f02	Donghe-Zhu	2021-05-27
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
bf19764	Donghe-Zhu	2021-03-22
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
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
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
1fad5f1	Donghe-Zhu	2021-02-07
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
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
a618f02	Donghe-Zhu	2021-05-27
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
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]	0.8295211	0.7918526	0.8840881
aou + nitrate	Atlantic	(26,26.5]	0.8784831	0.8630847	0.8932767
aou + nitrate	Atlantic	(26.5,26.75]	0.9724121	0.9709736	0.9732820
aou + nitrate	Atlantic	(26.75,27]	0.9842336	0.9776756	0.9875339
aou + nitrate	Atlantic	(27,27.25]	0.9734741	0.9673925	0.9783787
aou + nitrate	Atlantic	(27.25,27.5]	0.9600609	0.9573829	0.9651654
aou + nitrate	Atlantic	(27.5,27.75]	0.9449977	0.9431562	0.9465891
aou + nitrate	Atlantic	(27.75,27.85]	0.9175458	0.9076010	0.9271339
aou + nitrate	Atlantic	(27.85,27.95]	0.9432821	0.9330447	0.9517723
aou + nitrate	Atlantic	(27.95,28.05]	0.9717071	0.9711956	0.9720154
aou + nitrate	Atlantic	(28.05,28.1]	0.9883523	0.9872639	0.9889682
aou + nitrate	Atlantic	(28.1,28.15]	0.9885685	0.9847387	0.9907014
aou + nitrate	Atlantic	(28.15,28.2]	0.9854140	0.9840028	0.9876699
aou + nitrate	Atlantic	(28.2, Inf]	0.9846034	0.9782563	0.9891001
aou + nitrate	Indo-Pacific	(-Inf,26]	0.9345690	0.9252417	0.9420626
aou + nitrate	Indo-Pacific	(26,26.5]	0.8665896	0.8655417	0.8686146
aou + nitrate	Indo-Pacific	(26.5,26.75]	0.7562823	0.7285732	0.7846895
aou + nitrate	Indo-Pacific	(26.75,27]	0.7722742	0.7656969	0.7846475
aou + nitrate	Indo-Pacific	(27,27.25]	0.8223420	0.8196179	0.8257799
aou + nitrate	Indo-Pacific	(27.25,27.5]	0.8556215	0.8429061	0.8647853
aou + nitrate	Indo-Pacific	(27.5,27.75]	0.9101696	0.9058471	0.9172545
aou + nitrate	Indo-Pacific	(27.75,27.85]	0.9760783	0.9744465	0.9792317
aou + nitrate	Indo-Pacific	(27.85,27.95]	0.9779302	0.9768062	0.9794565
aou + nitrate	Indo-Pacific	(27.95,28.05]	0.9885835	0.9874733	0.9901146
aou + nitrate	Indo-Pacific	(28.05,28.1]	0.9884424	0.9877719	0.9889198
aou + nitrate	Indo-Pacific	(28.1,28.2]	0.9879500	0.9876455	0.9881143
aou + nitrate	Indo-Pacific	(28.2,28.3]	0.9868257	0.9865775	0.9869997
aou + nitrate	Indo-Pacific	(28.3, Inf]	0.8841281	0.8785498	0.8910506
aou + nitrate	SO	(-Inf,26]	0.0000000	-1.0000000	1.0000000
aou + nitrate	SO	(26,26.5]	0.8494992	0.8154330	0.8789125
aou + nitrate	SO	(26.5,26.75]	0.7065941	0.6946048	0.7279319
aou + nitrate	SO	(26.75,27]	0.7787018	0.7580420	0.8020662
aou + nitrate	SO	(27,27.25]	0.7329486	0.7296571	0.7372634
aou + nitrate	SO	(27.25,27.5]	0.7941167	0.7787876	0.8021711
aou + nitrate	SO	(27.5,27.75]	0.8931483	0.8883566	0.8969904
aou + nitrate	SO	(27.75,27.85]	0.9590457	0.9537006	0.9666071
aou + nitrate	SO	(27.85,27.95]	0.9406415	0.9308952	0.9511229
aou + nitrate	SO	(27.95,28.05]	0.8876818	0.8745279	0.9004593
aou + nitrate	SO	(28.05,28.1]	0.8018391	0.7710029	0.8411629
aou + nitrate	SO	(28.1,28.15]	0.4157552	0.3981045	0.4493681
aou + nitrate	SO	(28.1,28.2]	0.9025531	0.9014121	0.9032452
aou + nitrate	SO	(28.15,28.2]	0.5525665	0.5223945	0.5886066
aou + nitrate	SO	(28.2, Inf]	0.4893114	0.4664354	0.5213732
aou + nitrate	SO	(28.2,28.3]	0.9363560	0.9355729	0.9367507
aou + nitrate	SO	(28.3, Inf]	0.8532624	0.8206947	0.8728768
aou + phosphate	Atlantic	(-Inf,26]	0.9315021	0.8955516	0.9557443
aou + phosphate	Atlantic	(26,26.5]	0.8824325	0.8700300	0.8949111
aou + phosphate	Atlantic	(26.5,26.75]	0.9420478	0.9381129	0.9455095
aou + phosphate	Atlantic	(26.75,27]	0.9673473	0.9647020	0.9700037
aou + phosphate	Atlantic	(27,27.25]	0.9531968	0.9508660	0.9557280
aou + phosphate	Atlantic	(27.25,27.5]	0.9376289	0.9344334	0.9438914
aou + phosphate	Atlantic	(27.5,27.75]	0.9250833	0.9227182	0.9270274
aou + phosphate	Atlantic	(27.75,27.85]	0.8946761	0.8827742	0.9061498
aou + phosphate	Atlantic	(27.85,27.95]	0.9273631	0.9154119	0.9375965
aou + phosphate	Atlantic	(27.95,28.05]	0.9608591	0.9603783	0.9615708
aou + phosphate	Atlantic	(28.05,28.1]	0.9843127	0.9827966	0.9856723
aou + phosphate	Atlantic	(28.1,28.15]	0.9857874	0.9817879	0.9878486
aou + phosphate	Atlantic	(28.15,28.2]	0.9869251	0.9858351	0.9883151
aou + phosphate	Atlantic	(28.2, Inf]	0.9862575	0.9809959	0.9899857
aou + phosphate	Indo-Pacific	(-Inf,26]	0.9663466	0.9634728	0.9678994
aou + phosphate	Indo-Pacific	(26,26.5]	0.9597883	0.9592056	0.9602497
aou + phosphate	Indo-Pacific	(26.5,26.75]	0.9673316	0.9632580	0.9704707
aou + phosphate	Indo-Pacific	(26.75,27]	0.9691616	0.9671745	0.9701688
aou + phosphate	Indo-Pacific	(27,27.25]	0.9767442	0.9756924	0.9785021
aou + phosphate	Indo-Pacific	(27.25,27.5]	0.9816455	0.9811041	0.9825876
aou + phosphate	Indo-Pacific	(27.5,27.75]	0.9845943	0.9839418	0.9850098
aou + phosphate	Indo-Pacific	(27.75,27.85]	0.9940066	0.9936905	0.9942815
aou + phosphate	Indo-Pacific	(27.85,27.95]	0.9945003	0.9941953	0.9948309
aou + phosphate	Indo-Pacific	(27.95,28.05]	0.9971724	0.9970156	0.9973995
aou + phosphate	Indo-Pacific	(28.05,28.1]	0.9982822	0.9981698	0.9983585
aou + phosphate	Indo-Pacific	(28.1,28.2]	0.9979921	0.9977842	0.9981673
aou + phosphate	Indo-Pacific	(28.2,28.3]	0.9962294	0.9960944	0.9963231
aou + phosphate	Indo-Pacific	(28.3, Inf]	0.9477569	0.9439230	0.9523491
aou + phosphate	SO	(-Inf,26]	0.0000000	-1.0000000	1.0000000
aou + phosphate	SO	(26,26.5]	0.7702461	0.7369028	0.8274815
aou + phosphate	SO	(26.5,26.75]	0.6642386	0.6489851	0.6877078
aou + phosphate	SO	(26.75,27]	0.7807192	0.7573753	0.8093779
aou + phosphate	SO	(27,27.25]	0.7262740	0.7197466	0.7326326
aou + phosphate	SO	(27.25,27.5]	0.7797048	0.7619117	0.7890459
aou + phosphate	SO	(27.5,27.75]	0.8910520	0.8857650	0.8944139
aou + phosphate	SO	(27.75,27.85]	0.9544277	0.9482535	0.9623074
aou + phosphate	SO	(27.85,27.95]	0.9347100	0.9248457	0.9459265
aou + phosphate	SO	(27.95,28.05]	0.8841145	0.8711047	0.8975360
aou + phosphate	SO	(28.05,28.1]	0.8078870	0.7780923	0.8445490
aou + phosphate	SO	(28.1,28.15]	0.3849238	0.3624500	0.4229885
aou + phosphate	SO	(28.1,28.2]	0.9109973	0.9099381	0.9117662
aou + phosphate	SO	(28.15,28.2]	0.5393210	0.5093945	0.5782657
aou + phosphate	SO	(28.2, Inf]	0.3834786	0.3643463	0.4164160
aou + phosphate	SO	(28.2,28.3]	0.9496636	0.9490434	0.9500145
aou + phosphate	SO	(28.3, Inf]	0.7618244	0.7201528	0.7832613
aou + phosphate_star	Atlantic	(-Inf,26]	0.1588002	0.1081410	0.1913260
aou + phosphate_star	Atlantic	(26,26.5]	0.3749162	0.3626931	0.3900986
aou + phosphate_star	Atlantic	(26.5,26.75]	0.2406524	0.2271990	0.2532759
aou + phosphate_star	Atlantic	(26.75,27]	0.0965116	0.0491787	0.1338318
aou + phosphate_star	Atlantic	(27,27.25]	0.2944720	0.2865420	0.3095028
aou + phosphate_star	Atlantic	(27.25,27.5]	0.4296784	0.4200340	0.4447041
aou + phosphate_star	Atlantic	(27.5,27.75]	0.4899867	0.4776241	0.5029489
aou + phosphate_star	Atlantic	(27.75,27.85]	0.6039772	0.5669126	0.6228521
aou + phosphate_star	Atlantic	(27.85,27.95]	0.7546356	0.7324225	0.7822758
aou + phosphate_star	Atlantic	(27.95,28.05]	0.8577193	0.8465065	0.8635095
aou + phosphate_star	Atlantic	(28.05,28.1]	0.9389350	0.9349081	0.9454834
aou + phosphate_star	Atlantic	(28.1,28.15]	0.9441694	0.9348076	0.9495005
aou + phosphate_star	Atlantic	(28.15,28.2]	0.9524071	0.9504799	0.9546348
aou + phosphate_star	Atlantic	(28.2, Inf]	0.9694567	0.9625994	0.9746386
aou + phosphate_star	Indo-Pacific	(-Inf,26]	0.6072474	0.5981898	0.6217216
aou + phosphate_star	Indo-Pacific	(26,26.5]	0.4190540	0.4072290	0.4250973
aou + phosphate_star	Indo-Pacific	(26.5,26.75]	0.4174694	0.3833759	0.4451576
aou + phosphate_star	Indo-Pacific	(26.75,27]	0.5339265	0.5221960	0.5482025
aou + phosphate_star	Indo-Pacific	(27,27.25]	0.6360010	0.6274054	0.6479173
aou + phosphate_star	Indo-Pacific	(27.25,27.5]	0.6250127	0.6047408	0.6473934
aou + phosphate_star	Indo-Pacific	(27.5,27.75]	0.4705083	0.4676611	0.4752750
aou + phosphate_star	Indo-Pacific	(27.75,27.85]	0.4090315	0.4012769	0.4148546
aou + phosphate_star	Indo-Pacific	(27.85,27.95]	0.4148940	0.3919350	0.4272593
aou + phosphate_star	Indo-Pacific	(27.95,28.05]	0.4892009	0.4698636	0.5013774
aou + phosphate_star	Indo-Pacific	(28.05,28.1]	0.6585607	0.6416620	0.6826199
aou + phosphate_star	Indo-Pacific	(28.1,28.2]	0.6911303	0.6860665	0.6995435
aou + phosphate_star	Indo-Pacific	(28.2,28.3]	0.4724712	0.4430311	0.4874315
aou + phosphate_star	Indo-Pacific	(28.3, Inf]	-0.5399537	-0.5885653	-0.5048961
aou + phosphate_star	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
aou + phosphate_star	SO	(26,26.5]	-0.6641479	-0.7438901	-0.5891962
aou + phosphate_star	SO	(26.5,26.75]	-0.1513922	-0.2292043	-0.0688183
aou + phosphate_star	SO	(26.75,27]	0.2110691	0.1657275	0.2352077
aou + phosphate_star	SO	(27,27.25]	0.0340801	-0.0074694	0.0640302
aou + phosphate_star	SO	(27.25,27.5]	-0.4327918	-0.4593066	-0.4081867
aou + phosphate_star	SO	(27.5,27.75]	-0.4951006	-0.5321280	-0.4672260
aou + phosphate_star	SO	(27.75,27.85]	-0.7911401	-0.8053780	-0.7746896
aou + phosphate_star	SO	(27.85,27.95]	-0.8066803	-0.8158096	-0.7987816
aou + phosphate_star	SO	(27.95,28.05]	-0.7156633	-0.7240314	-0.7094365
aou + phosphate_star	SO	(28.05,28.1]	-0.6190047	-0.6331863	-0.6057728
aou + phosphate_star	SO	(28.1,28.15]	-0.5039199	-0.5533779	-0.4590304
aou + phosphate_star	SO	(28.1,28.2]	-0.6097849	-0.6326959	-0.5898702
aou + phosphate_star	SO	(28.15,28.2]	-0.2564972	-0.3377075	-0.2087810
aou + phosphate_star	SO	(28.2, Inf]	-0.1620950	-0.2184679	-0.1250720
aou + phosphate_star	SO	(28.2,28.3]	-0.3746932	-0.4037247	-0.3320525
aou + phosphate_star	SO	(28.3, Inf]	-0.7870691	-0.7947310	-0.7785131
aou + silicate	Atlantic	(-Inf,26]	0.1141513	0.0348861	0.1884636
aou + silicate	Atlantic	(26,26.5]	0.2223735	0.1649396	0.2886896
aou + silicate	Atlantic	(26.5,26.75]	0.6034326	0.5758090	0.6529001
aou + silicate	Atlantic	(26.75,27]	0.7636322	0.7489843	0.7733018
aou + silicate	Atlantic	(27,27.25]	0.7239669	0.7007643	0.7457230
aou + silicate	Atlantic	(27.25,27.5]	0.7038179	0.6875596	0.7358151
aou + silicate	Atlantic	(27.5,27.75]	0.6827250	0.6728553	0.6923387
aou + silicate	Atlantic	(27.75,27.85]	0.5849615	0.5464943	0.6102062
aou + silicate	Atlantic	(27.85,27.95]	0.6892755	0.6647995	0.7199227
aou + silicate	Atlantic	(27.95,28.05]	0.8094121	0.7958144	0.8187704
aou + silicate	Atlantic	(28.05,28.1]	0.9062809	0.8966956	0.9155910
aou + silicate	Atlantic	(28.1,28.15]	0.9223057	0.9198265	0.9252042
aou + silicate	Atlantic	(28.15,28.2]	0.9362804	0.9322052	0.9387424
aou + silicate	Atlantic	(28.2, Inf]	0.9609340	0.9584692	0.9628653
aou + silicate	Indo-Pacific	(-Inf,26]	0.8583719	0.8557130	0.8621601
aou + silicate	Indo-Pacific	(26,26.5]	0.7836041	0.7783623	0.7887004
aou + silicate	Indo-Pacific	(26.5,26.75]	0.7539371	0.7438001	0.7663198
aou + silicate	Indo-Pacific	(26.75,27]	0.8062684	0.8024466	0.8121059
aou + silicate	Indo-Pacific	(27,27.25]	0.8723007	0.8685528	0.8743987
aou + silicate	Indo-Pacific	(27.25,27.5]	0.9045032	0.9018023	0.9090859
aou + silicate	Indo-Pacific	(27.5,27.75]	0.9078479	0.9064974	0.9098583
aou + silicate	Indo-Pacific	(27.75,27.85]	0.9454738	0.9440693	0.9479145
aou + silicate	Indo-Pacific	(27.85,27.95]	0.9388265	0.9357759	0.9414934
aou + silicate	Indo-Pacific	(27.95,28.05]	0.9642662	0.9611912	0.9690372
aou + silicate	Indo-Pacific	(28.05,28.1]	0.9788988	0.9764593	0.9805353
aou + silicate	Indo-Pacific	(28.1,28.2]	0.9423587	0.9360005	0.9469759
aou + silicate	Indo-Pacific	(28.2,28.3]	0.7882475	0.7817446	0.7915227
aou + silicate	Indo-Pacific	(28.3, Inf]	0.9305425	0.9242325	0.9360818
aou + silicate	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
aou + silicate	SO	(26,26.5]	0.8971771	0.8751499	0.9335526
aou + silicate	SO	(26.5,26.75]	0.8752387	0.8452126	0.8918218
aou + silicate	SO	(26.75,27]	0.8684991	0.8641674	0.8745795
aou + silicate	SO	(27,27.25]	0.7664364	0.7649772	0.7679982
aou + silicate	SO	(27.25,27.5]	0.7544154	0.7373753	0.7659014
aou + silicate	SO	(27.5,27.75]	0.8481638	0.8441867	0.8531689
aou + silicate	SO	(27.75,27.85]	0.9164345	0.9058382	0.9279571
aou + silicate	SO	(27.85,27.95]	0.9075731	0.8989984	0.9214252
aou + silicate	SO	(27.95,28.05]	0.8929516	0.8862975	0.9015703
aou + silicate	SO	(28.05,28.1]	0.8705048	0.8539287	0.8930006
aou + silicate	SO	(28.1,28.15]	0.4449636	0.3531781	0.5309752
aou + silicate	SO	(28.1,28.2]	0.9341179	0.9328484	0.9359000
aou + silicate	SO	(28.15,28.2]	0.6743748	0.6389017	0.7154955
aou + silicate	SO	(28.2, Inf]	0.0736660	0.0455213	0.1021536
aou + silicate	SO	(28.2,28.3]	0.9406306	0.9369857	0.9450870
aou + silicate	SO	(28.3, Inf]	0.5285093	0.5126790	0.5442380
nitrate + phosphate	Atlantic	(-Inf,26]	0.6950892	0.5422291	0.8327905
nitrate + phosphate	Atlantic	(26,26.5]	0.7346694	0.7150876	0.7484176
nitrate + phosphate	Atlantic	(26.5,26.75]	0.9542989	0.9496496	0.9598565
nitrate + phosphate	Atlantic	(26.75,27]	0.9766645	0.9717974	0.9793123
nitrate + phosphate	Atlantic	(27,27.25]	0.9855820	0.9816305	0.9881723
nitrate + phosphate	Atlantic	(27.25,27.5]	0.9950301	0.9948137	0.9952414
nitrate + phosphate	Atlantic	(27.5,27.75]	0.9972059	0.9970396	0.9973037
nitrate + phosphate	Atlantic	(27.75,27.85]	0.9984331	0.9983618	0.9985181
nitrate + phosphate	Atlantic	(27.85,27.95]	0.9988289	0.9987468	0.9989160
nitrate + phosphate	Atlantic	(27.95,28.05]	0.9983663	0.9982113	0.9985612
nitrate + phosphate	Atlantic	(28.05,28.1]	0.9992307	0.9991374	0.9993373
nitrate + phosphate	Atlantic	(28.1,28.15]	0.9984210	0.9983633	0.9985017
nitrate + phosphate	Atlantic	(28.15,28.2]	0.9913421	0.9912786	0.9914056
nitrate + phosphate	Atlantic	(28.2, Inf]	0.9965951	0.9962884	0.9969196
nitrate + phosphate	Indo-Pacific	(-Inf,26]	0.9590307	0.9452598	0.9693385
nitrate + phosphate	Indo-Pacific	(26,26.5]	0.8961806	0.8941872	0.8993460
nitrate + phosphate	Indo-Pacific	(26.5,26.75]	0.7763795	0.7523565	0.8028491
nitrate + phosphate	Indo-Pacific	(26.75,27]	0.8030751	0.7971143	0.8134598
nitrate + phosphate	Indo-Pacific	(27,27.25]	0.8405209	0.8375049	0.8437707
nitrate + phosphate	Indo-Pacific	(27.25,27.5]	0.8541614	0.8401187	0.8650696
nitrate + phosphate	Indo-Pacific	(27.5,27.75]	0.9184138	0.9119881	0.9280258
nitrate + phosphate	Indo-Pacific	(27.75,27.85]	0.9807624	0.9786163	0.9846408
nitrate + phosphate	Indo-Pacific	(27.85,27.95]	0.9895372	0.9890285	0.9904188
nitrate + phosphate	Indo-Pacific	(27.95,28.05]	0.9962039	0.9955454	0.9969729
nitrate + phosphate	Indo-Pacific	(28.05,28.1]	0.9944497	0.9944056	0.9945317
nitrate + phosphate	Indo-Pacific	(28.1,28.2]	0.9921703	0.9919582	0.9923102
nitrate + phosphate	Indo-Pacific	(28.2,28.3]	0.9908098	0.9907154	0.9909020
nitrate + phosphate	Indo-Pacific	(28.3, Inf]	0.9737486	0.9727821	0.9747675
nitrate + phosphate	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
nitrate + phosphate	SO	(26,26.5]	0.9689617	0.9541763	0.9765364
nitrate + phosphate	SO	(26.5,26.75]	0.9788813	0.9763482	0.9833701
nitrate + phosphate	SO	(26.75,27]	0.9914161	0.9905875	0.9928460
nitrate + phosphate	SO	(27,27.25]	0.9968717	0.9966207	0.9970418
nitrate + phosphate	SO	(27.25,27.5]	0.9983199	0.9981198	0.9984765
nitrate + phosphate	SO	(27.5,27.75]	0.9988476	0.9987969	0.9989020
nitrate + phosphate	SO	(27.75,27.85]	0.9986696	0.9985213	0.9987454
nitrate + phosphate	SO	(27.85,27.95]	0.9986291	0.9984768	0.9987766
nitrate + phosphate	SO	(27.95,28.05]	0.9986407	0.9985645	0.9987199
nitrate + phosphate	SO	(28.05,28.1]	0.9982225	0.9980214	0.9983296
nitrate + phosphate	SO	(28.1,28.15]	0.9980730	0.9977379	0.9982936
nitrate + phosphate	SO	(28.1,28.2]	0.9981753	0.9981340	0.9982434
nitrate + phosphate	SO	(28.15,28.2]	0.9986416	0.9984835	0.9989069
nitrate + phosphate	SO	(28.2, Inf]	0.9413897	0.9359574	0.9453257
nitrate + phosphate	SO	(28.2,28.3]	0.9960754	0.9956216	0.9963302
nitrate + phosphate	SO	(28.3, Inf]	0.9669942	0.9654000	0.9678773
nitrate + phosphate_star	Atlantic	(-Inf,26]	0.2028386	0.0511046	0.2956378
nitrate + phosphate_star	Atlantic	(26,26.5]	0.2861160	0.2586385	0.3049760
nitrate + phosphate_star	Atlantic	(26.5,26.75]	0.3369771	0.3153203	0.3764495
nitrate + phosphate_star	Atlantic	(26.75,27]	0.1879928	0.1411878	0.2345400
nitrate + phosphate_star	Atlantic	(27,27.25]	0.4605592	0.4538918	0.4664601
nitrate + phosphate_star	Atlantic	(27.25,27.5]	0.6417333	0.6164162	0.6667582
nitrate + phosphate_star	Atlantic	(27.5,27.75]	0.7216178	0.7172276	0.7263273
nitrate + phosphate_star	Atlantic	(27.75,27.85]	0.8670009	0.8567986	0.8784343
nitrate + phosphate_star	Atlantic	(27.85,27.95]	0.9266261	0.9213410	0.9330135
nitrate + phosphate_star	Atlantic	(27.95,28.05]	0.9510670	0.9452135	0.9543733
nitrate + phosphate_star	Atlantic	(28.05,28.1]	0.9773817	0.9759143	0.9802369
nitrate + phosphate_star	Atlantic	(28.1,28.15]	0.9775734	0.9764550	0.9786741
nitrate + phosphate_star	Atlantic	(28.15,28.2]	0.9743050	0.9738153	0.9748251
nitrate + phosphate_star	Atlantic	(28.2, Inf]	0.9917035	0.9916604	0.9917306
nitrate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7614137	0.7508743	0.7768839
nitrate + phosphate_star	Indo-Pacific	(26,26.5]	0.6090630	0.6013571	0.6167904
nitrate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.5411636	0.5221556	0.5615650
nitrate + phosphate_star	Indo-Pacific	(26.75,27]	0.6589778	0.6536732	0.6678127
nitrate + phosphate_star	Indo-Pacific	(27,27.25]	0.7261827	0.7202427	0.7375797
nitrate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.6630313	0.6517026	0.6785121
nitrate + phosphate_star	Indo-Pacific	(27.5,27.75]	0.5862422	0.5751122	0.6024594
nitrate + phosphate_star	Indo-Pacific	(27.75,27.85]	0.5098113	0.5020822	0.5189242
nitrate + phosphate_star	Indo-Pacific	(27.85,27.95]	0.5622568	0.5431702	0.5761787
nitrate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.6059279	0.5925858	0.6147928
nitrate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.7583505	0.7472334	0.7759541
nitrate + phosphate_star	Indo-Pacific	(28.1,28.2]	0.7713348	0.7685346	0.7764749
nitrate + phosphate_star	Indo-Pacific	(28.2,28.3]	0.5679012	0.5422730	0.5807156
nitrate + phosphate_star	Indo-Pacific	(28.3, Inf]	-0.0991560	-0.1459364	-0.0729288
nitrate + phosphate_star	SO	(-Inf,26]	0.0000000	-1.0000000	1.0000000
nitrate + phosphate_star	SO	(26,26.5]	-0.2130067	-0.3296966	-0.0455404
nitrate + phosphate_star	SO	(26.5,26.75]	0.5515983	0.5027786	0.5859353
nitrate + phosphate_star	SO	(26.75,27]	0.7549509	0.7448816	0.7746615
nitrate + phosphate_star	SO	(27,27.25]	0.6979358	0.6714180	0.7203268
nitrate + phosphate_star	SO	(27.25,27.5]	0.2013594	0.1607148	0.2281152
nitrate + phosphate_star	SO	(27.5,27.75]	-0.0536510	-0.1051311	-0.0236386
nitrate + phosphate_star	SO	(27.75,27.85]	-0.5890210	-0.6296432	-0.5523450
nitrate + phosphate_star	SO	(27.85,27.95]	-0.5634554	-0.5880397	-0.5288680
nitrate + phosphate_star	SO	(27.95,28.05]	-0.3188874	-0.3429476	-0.3030435
nitrate + phosphate_star	SO	(28.05,28.1]	-0.0326630	-0.0984632	0.0010372
nitrate + phosphate_star	SO	(28.1,28.15]	0.5724328	0.5416614	0.6285914
nitrate + phosphate_star	SO	(28.1,28.2]	-0.2142121	-0.2444234	-0.1902732
nitrate + phosphate_star	SO	(28.15,28.2]	0.6610157	0.6246702	0.6928278
nitrate + phosphate_star	SO	(28.2, Inf]	0.7532440	0.7313571	0.7742448
nitrate + phosphate_star	SO	(28.2,28.3]	-0.0331772	-0.0656175	0.0148444
nitrate + phosphate_star	SO	(28.3, Inf]	-0.3704415	-0.4065416	-0.2988115
nitrate + silicate	Atlantic	(-Inf,26]	0.5977939	0.5229959	0.6645577
nitrate + silicate	Atlantic	(26,26.5]	0.6071300	0.5976073	0.6231232
nitrate + silicate	Atlantic	(26.5,26.75]	0.7090968	0.6914424	0.7413755
nitrate + silicate	Atlantic	(26.75,27]	0.8280627	0.8176721	0.8377046
nitrate + silicate	Atlantic	(27,27.25]	0.8409172	0.8274918	0.8521207
nitrate + silicate	Atlantic	(27.25,27.5]	0.8673007	0.8603122	0.8804678
nitrate + silicate	Atlantic	(27.5,27.75]	0.8790035	0.8755514	0.8822741
nitrate + silicate	Atlantic	(27.75,27.85]	0.8522813	0.8413436	0.8602407
nitrate + silicate	Atlantic	(27.85,27.95]	0.8767188	0.8707433	0.8857847
nitrate + silicate	Atlantic	(27.95,28.05]	0.9021102	0.8937190	0.9096309
nitrate + silicate	Atlantic	(28.05,28.1]	0.9374852	0.9305634	0.9430174
nitrate + silicate	Atlantic	(28.1,28.15]	0.9354097	0.9343825	0.9361552
nitrate + silicate	Atlantic	(28.15,28.2]	0.9263285	0.9221901	0.9287914
nitrate + silicate	Atlantic	(28.2, Inf]	0.9688946	0.9678006	0.9696156
nitrate + silicate	Indo-Pacific	(-Inf,26]	0.8790922	0.8727675	0.8847342
nitrate + silicate	Indo-Pacific	(26,26.5]	0.8340924	0.8219954	0.8461908
nitrate + silicate	Indo-Pacific	(26.5,26.75]	0.8113905	0.8056420	0.8204286
nitrate + silicate	Indo-Pacific	(26.75,27]	0.8452293	0.8441361	0.8470242
nitrate + silicate	Indo-Pacific	(27,27.25]	0.8916485	0.8884717	0.8959888
nitrate + silicate	Indo-Pacific	(27.25,27.5]	0.9018203	0.8925690	0.9083680
nitrate + silicate	Indo-Pacific	(27.5,27.75]	0.9346035	0.9309675	0.9398760
nitrate + silicate	Indo-Pacific	(27.75,27.85]	0.9645869	0.9635343	0.9665344
nitrate + silicate	Indo-Pacific	(27.85,27.95]	0.9641394	0.9618508	0.9661711
nitrate + silicate	Indo-Pacific	(27.95,28.05]	0.9675539	0.9650688	0.9703362
nitrate + silicate	Indo-Pacific	(28.05,28.1]	0.9674495	0.9637998	0.9714996
nitrate + silicate	Indo-Pacific	(28.1,28.2]	0.9371076	0.9281694	0.9433447
nitrate + silicate	Indo-Pacific	(28.2,28.3]	0.8104212	0.8037149	0.8144979
nitrate + silicate	Indo-Pacific	(28.3, Inf]	0.7912756	0.7873603	0.7949401
nitrate + silicate	SO	(-Inf,26]	0.0000000	-1.0000000	1.0000000
nitrate + silicate	SO	(26,26.5]	0.7993808	0.7274138	0.8407230
nitrate + silicate	SO	(26.5,26.75]	0.6060358	0.5477917	0.6480826
nitrate + silicate	SO	(26.75,27]	0.8009888	0.7940838	0.8056002
nitrate + silicate	SO	(27,27.25]	0.9098115	0.9039609	0.9166253
nitrate + silicate	SO	(27.25,27.5]	0.9630648	0.9614628	0.9639215
nitrate + silicate	SO	(27.5,27.75]	0.9610118	0.9591729	0.9631370
nitrate + silicate	SO	(27.75,27.85]	0.9688446	0.9648639	0.9723568
nitrate + silicate	SO	(27.85,27.95]	0.9722076	0.9686366	0.9764559
nitrate + silicate	SO	(27.95,28.05]	0.9700720	0.9665466	0.9737079
nitrate + silicate	SO	(28.05,28.1]	0.9475453	0.9380646	0.9543296
nitrate + silicate	SO	(28.1,28.15]	0.8877482	0.8779525	0.8940329
nitrate + silicate	SO	(28.1,28.2]	0.9527801	0.9501442	0.9541584
nitrate + silicate	SO	(28.15,28.2]	0.8710877	0.8528428	0.8963396
nitrate + silicate	SO	(28.2, Inf]	0.5360246	0.5174031	0.5619661
nitrate + silicate	SO	(28.2,28.3]	0.9122557	0.9010134	0.9195877
nitrate + silicate	SO	(28.3, Inf]	0.8080611	0.7910088	0.8342989
phosphate + phosphate_star	Atlantic	(-Inf,26]	0.4329775	0.3456284	0.5213805
phosphate + phosphate_star	Atlantic	(26,26.5]	0.7512425	0.7420152	0.7614433
phosphate + phosphate_star	Atlantic	(26.5,26.75]	0.5460418	0.5335052	0.5670950
phosphate + phosphate_star	Atlantic	(26.75,27]	0.3393504	0.2946157	0.3839321
phosphate + phosphate_star	Atlantic	(27,27.25]	0.5635998	0.5572458	0.5699222
phosphate + phosphate_star	Atlantic	(27.25,27.5]	0.7058028	0.6854010	0.7267705
phosphate + phosphate_star	Atlantic	(27.5,27.75]	0.7680542	0.7636274	0.7735167
phosphate + phosphate_star	Atlantic	(27.75,27.85]	0.8930535	0.8844796	0.9033821
phosphate + phosphate_star	Atlantic	(27.85,27.95]	0.9431742	0.9386107	0.9482534
phosphate + phosphate_star	Atlantic	(27.95,28.05]	0.9640757	0.9594012	0.9664641
phosphate + phosphate_star	Atlantic	(28.05,28.1]	0.9840446	0.9830480	0.9858668
phosphate + phosphate_star	Atlantic	(28.1,28.15]	0.9852295	0.9839002	0.9862577
phosphate + phosphate_star	Atlantic	(28.15,28.2]	0.9885589	0.9878802	0.9892406
phosphate + phosphate_star	Atlantic	(28.2, Inf]	0.9949990	0.9946224	0.9953600
phosphate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7727324	0.7645587	0.7811629
phosphate + phosphate_star	Indo-Pacific	(26,26.5]	0.6518498	0.6432198	0.6565155
phosphate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.6304087	0.6136387	0.6444287
phosphate + phosphate_star	Indo-Pacific	(26.75,27]	0.7216055	0.7166773	0.7303747
phosphate + phosphate_star	Indo-Pacific	(27,27.25]	0.7803957	0.7763134	0.7845483
phosphate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.7574023	0.7423323	0.7728924
phosphate + phosphate_star	Indo-Pacific	(27.5,27.75]	0.6144842	0.6107614	0.6217256
phosphate + phosphate_star	Indo-Pacific	(27.75,27.85]	0.5032827	0.4983145	0.5086015
phosphate + phosphate_star	Indo-Pacific	(27.85,27.95]	0.5056416	0.4837321	0.5200775
phosphate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.5509112	0.5341237	0.5602096
phosphate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.6989178	0.6845380	0.7204394
phosphate + phosphate_star	Indo-Pacific	(28.1,28.2]	0.7319701	0.7269346	0.7419606
phosphate + phosphate_star	Indo-Pacific	(28.2,28.3]	0.5438887	0.5171732	0.5577773
phosphate + phosphate_star	Indo-Pacific	(28.3, Inf]	-0.2537270	-0.2980452	-0.2277494
phosphate + phosphate_star	SO	(-Inf,26]	0.0000000	-1.0000000	1.0000000
phosphate + phosphate_star	SO	(26,26.5]	-0.0510667	-0.1327257	0.1034880
phosphate + phosphate_star	SO	(26.5,26.75]	0.6312041	0.5857082	0.6694007
phosphate + phosphate_star	SO	(26.75,27]	0.7710110	0.7570560	0.7908308
phosphate + phosphate_star	SO	(27,27.25]	0.7099517	0.6872767	0.7307401
phosphate + phosphate_star	SO	(27.25,27.5]	0.2257091	0.1838565	0.2553868
phosphate + phosphate_star	SO	(27.5,27.75]	-0.0489813	-0.0992420	-0.0211274
phosphate + phosphate_star	SO	(27.75,27.85]	-0.5775651	-0.6180426	-0.5391522
phosphate + phosphate_star	SO	(27.85,27.95]	-0.5504419	-0.5754920	-0.5166470
phosphate + phosphate_star	SO	(27.95,28.05]	-0.3131050	-0.3374884	-0.2979025
phosphate + phosphate_star	SO	(28.05,28.1]	-0.0462036	-0.1083402	-0.0136963
phosphate + phosphate_star	SO	(28.1,28.15]	0.5974526	0.5690390	0.6517812
phosphate + phosphate_star	SO	(28.1,28.2]	-0.2367222	-0.2668843	-0.2124424
phosphate + phosphate_star	SO	(28.15,28.2]	0.6706801	0.6343576	0.7053721
phosphate + phosphate_star	SO	(28.2, Inf]	0.8377942	0.8174298	0.8560131
phosphate + phosphate_star	SO	(28.2,28.3]	-0.0725219	-0.1052851	-0.0270717
phosphate + phosphate_star	SO	(28.3, Inf]	-0.2158721	-0.2581801	-0.1405672
sal + aou	Atlantic	(-Inf,26]	-0.3686547	-0.4321404	-0.3296869
sal + aou	Atlantic	(26,26.5]	-0.3414503	-0.3678902	-0.3216532
sal + aou	Atlantic	(26.5,26.75]	0.1420749	0.1208357	0.1755638
sal + aou	Atlantic	(26.75,27]	0.3594042	0.3269317	0.3873816
sal + aou	Atlantic	(27,27.25]	0.1864203	0.1856121	0.1877050
sal + aou	Atlantic	(27.25,27.5]	0.1369660	0.0503016	0.2179257
sal + aou	Atlantic	(27.5,27.75]	0.4628426	0.4004446	0.5039698
sal + aou	Atlantic	(27.75,27.85]	0.0949121	-0.0074982	0.1796210
sal + aou	Atlantic	(27.85,27.95]	-0.1195306	-0.1820411	-0.0138297
sal + aou	Atlantic	(27.95,28.05]	-0.4775469	-0.5216531	-0.4224240
sal + aou	Atlantic	(28.05,28.1]	-0.7902964	-0.8133375	-0.7626964
sal + aou	Atlantic	(28.1,28.15]	-0.9107222	-0.9254978	-0.8863638
sal + aou	Atlantic	(28.15,28.2]	-0.7626915	-0.7775847	-0.7543401
sal + aou	Atlantic	(28.2, Inf]	-0.9449935	-0.9467887	-0.9426864
sal + aou	Indo-Pacific	(-Inf,26]	-0.2781228	-0.2899500	-0.2637932
sal + aou	Indo-Pacific	(26,26.5]	-0.1908303	-0.1985884	-0.1852479
sal + aou	Indo-Pacific	(26.5,26.75]	-0.1890800	-0.2168518	-0.1633204
sal + aou	Indo-Pacific	(26.75,27]	-0.3709357	-0.3836919	-0.3633878
sal + aou	Indo-Pacific	(27,27.25]	-0.4988366	-0.5119155	-0.4866291
sal + aou	Indo-Pacific	(27.25,27.5]	-0.5413054	-0.5570132	-0.5292118
sal + aou	Indo-Pacific	(27.5,27.75]	-0.3711824	-0.3904390	-0.3467828
sal + aou	Indo-Pacific	(27.75,27.85]	-0.1853693	-0.1942890	-0.1772752
sal + aou	Indo-Pacific	(27.85,27.95]	-0.0547895	-0.0789232	-0.0369035
sal + aou	Indo-Pacific	(27.95,28.05]	0.1118829	0.0804136	0.1328029
sal + aou	Indo-Pacific	(28.05,28.1]	0.1398959	0.0850544	0.1702783
sal + aou	Indo-Pacific	(28.1,28.2]	0.0942486	0.0136986	0.1668598
sal + aou	Indo-Pacific	(28.2,28.3]	-0.4107577	-0.4166489	-0.3994068
sal + aou	Indo-Pacific	(28.3, Inf]	0.6920048	0.6677501	0.7234654
sal + aou	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
sal + aou	SO	(26,26.5]	0.6451312	0.6165200	0.6715719
sal + aou	SO	(26.5,26.75]	0.1643421	0.0848425	0.2369936
sal + aou	SO	(26.75,27]	-0.2424844	-0.2769802	-0.1882662
sal + aou	SO	(27,27.25]	-0.0757870	-0.1163143	-0.0416722
sal + aou	SO	(27.25,27.5]	0.5431478	0.5082542	0.6049360
sal + aou	SO	(27.5,27.75]	0.7256346	0.7009015	0.7517578
sal + aou	SO	(27.75,27.85]	0.8508161	0.8402219	0.8626793
sal + aou	SO	(27.85,27.95]	0.8830359	0.8710092	0.8910493
sal + aou	SO	(27.95,28.05]	0.8290531	0.8162247	0.8418429
sal + aou	SO	(28.05,28.1]	0.7047054	0.6839642	0.7258001
sal + aou	SO	(28.1,28.15]	0.2245622	0.2232721	0.2266463
sal + aou	SO	(28.1,28.2]	0.7915576	0.7741663	0.8023010
sal + aou	SO	(28.15,28.2]	0.0197428	-0.0019693	0.0473297
sal + aou	SO	(28.2, Inf]	-0.1562994	-0.2000194	-0.0924481
sal + aou	SO	(28.2,28.3]	0.6928679	0.6832880	0.6978863
sal + aou	SO	(28.3, Inf]	0.8131264	0.7996185	0.8240441
sal + nitrate	Atlantic	(-Inf,26]	-0.6489832	-0.6966747	-0.5872391
sal + nitrate	Atlantic	(26,26.5]	-0.3591438	-0.3752615	-0.3396407
sal + nitrate	Atlantic	(26.5,26.75]	0.0846940	0.0449035	0.1247001
sal + nitrate	Atlantic	(26.75,27]	0.3093528	0.2659828	0.3393275
sal + nitrate	Atlantic	(27,27.25]	0.0826760	0.0654776	0.0970342
sal + nitrate	Atlantic	(27.25,27.5]	-0.0035120	-0.1203416	0.1109076
sal + nitrate	Atlantic	(27.5,27.75]	0.3750874	0.3059900	0.4174591
sal + nitrate	Atlantic	(27.75,27.85]	-0.1628084	-0.2713397	-0.0478722
sal + nitrate	Atlantic	(27.85,27.95]	-0.3294428	-0.4031712	-0.2148063
sal + nitrate	Atlantic	(27.95,28.05]	-0.5333303	-0.5808802	-0.4617602
sal + nitrate	Atlantic	(28.05,28.1]	-0.8070017	-0.8492677	-0.7748965
sal + nitrate	Atlantic	(28.1,28.15]	-0.9096112	-0.9301744	-0.8688119
sal + nitrate	Atlantic	(28.15,28.2]	-0.8209241	-0.8367044	-0.8047002
sal + nitrate	Atlantic	(28.2, Inf]	-0.9656919	-0.9667231	-0.9639618
sal + nitrate	Indo-Pacific	(-Inf,26]	-0.4231489	-0.4391667	-0.3985848
sal + nitrate	Indo-Pacific	(26,26.5]	-0.4651553	-0.4750608	-0.4549373
sal + nitrate	Indo-Pacific	(26.5,26.75]	-0.4863746	-0.4920639	-0.4799325
sal + nitrate	Indo-Pacific	(26.75,27]	-0.6392879	-0.6526106	-0.6285748
sal + nitrate	Indo-Pacific	(27,27.25]	-0.7120277	-0.7217405	-0.7019868
sal + nitrate	Indo-Pacific	(27.25,27.5]	-0.6779104	-0.6871753	-0.6671058
sal + nitrate	Indo-Pacific	(27.5,27.75]	-0.5011327	-0.5222535	-0.4817490
sal + nitrate	Indo-Pacific	(27.75,27.85]	-0.3187602	-0.3248089	-0.3145273
sal + nitrate	Indo-Pacific	(27.85,27.95]	-0.1873316	-0.2151678	-0.1655692
sal + nitrate	Indo-Pacific	(27.95,28.05]	0.0049447	-0.0272603	0.0340259
sal + nitrate	Indo-Pacific	(28.05,28.1]	0.0106090	-0.0496972	0.0476145
sal + nitrate	Indo-Pacific	(28.1,28.2]	0.0058950	-0.0669190	0.0742933
sal + nitrate	Indo-Pacific	(28.2,28.3]	-0.4845510	-0.4993523	-0.4657460
sal + nitrate	Indo-Pacific	(28.3, Inf]	0.2915676	0.2745689	0.3224520
sal + nitrate	SO	(-Inf,26]	0.0000000	-1.0000000	1.0000000
sal + nitrate	SO	(26,26.5]	0.3260113	0.2175891	0.4127290
sal + nitrate	SO	(26.5,26.75]	-0.4561163	-0.4793516	-0.4120498
sal + nitrate	SO	(26.75,27]	-0.6913766	-0.7212901	-0.6646484
sal + nitrate	SO	(27,27.25]	-0.6887714	-0.7195247	-0.6643875
sal + nitrate	SO	(27.25,27.5]	-0.0391689	-0.1038340	0.0489553
sal + nitrate	SO	(27.5,27.75]	0.3743234	0.3282134	0.4173924
sal + nitrate	SO	(27.75,27.85]	0.6935598	0.6676897	0.7258087
sal + nitrate	SO	(27.85,27.95]	0.7089123	0.6746987	0.7347160
sal + nitrate	SO	(27.95,28.05]	0.5357942	0.5051306	0.5816081
sal + nitrate	SO	(28.05,28.1]	0.2379028	0.1873413	0.3237320
sal + nitrate	SO	(28.1,28.15]	-0.7173144	-0.7249614	-0.7090161
sal + nitrate	SO	(28.1,28.2]	0.5537382	0.5308242	0.5708295
sal + nitrate	SO	(28.15,28.2]	-0.7712056	-0.7855280	-0.7570257
sal + nitrate	SO	(28.2, Inf]	-0.4861083	-0.5019897	-0.4545808
sal + nitrate	SO	(28.2,28.3]	0.5016559	0.4682320	0.5252034
sal + nitrate	SO	(28.3, Inf]	0.7681639	0.7301561	0.8043301
sal + phosphate	Atlantic	(-Inf,26]	-0.2775337	-0.3737292	-0.1507372
sal + phosphate	Atlantic	(26,26.5]	-0.5588637	-0.5825013	-0.5370101
sal + phosphate	Atlantic	(26.5,26.75]	-0.1109752	-0.1419156	-0.0740218
sal + phosphate	Atlantic	(26.75,27]	0.1898153	0.1427746	0.2233086
sal + phosphate	Atlantic	(27,27.25]	-0.0264976	-0.0446317	-0.0125830
sal + phosphate	Atlantic	(27.25,27.5]	-0.0838894	-0.1985232	0.0265835
sal + phosphate	Atlantic	(27.5,27.75]	0.3167417	0.2428464	0.3615836
sal + phosphate	Atlantic	(27.75,27.85]	-0.2037296	-0.3121868	-0.0879400
sal + phosphate	Atlantic	(27.85,27.95]	-0.3637244	-0.4388472	-0.2492478
sal + phosphate	Atlantic	(27.95,28.05]	-0.5445703	-0.5923666	-0.4703563
sal + phosphate	Atlantic	(28.05,28.1]	-0.8206281	-0.8632064	-0.7897078
sal + phosphate	Atlantic	(28.1,28.15]	-0.9079324	-0.9297468	-0.8649395
sal + phosphate	Atlantic	(28.15,28.2]	-0.7495083	-0.7660972	-0.7325885
sal + phosphate	Atlantic	(28.2, Inf]	-0.9452632	-0.9459156	-0.9443601
sal + phosphate	Indo-Pacific	(-Inf,26]	-0.3682645	-0.3699029	-0.3652565
sal + phosphate	Indo-Pacific	(26,26.5]	-0.4068932	-0.4159015	-0.4002453
sal + phosphate	Indo-Pacific	(26.5,26.75]	-0.4000494	-0.4146784	-0.3899183
sal + phosphate	Indo-Pacific	(26.75,27]	-0.5555101	-0.5622883	-0.5480836
sal + phosphate	Indo-Pacific	(27,27.25]	-0.6279560	-0.6319171	-0.6221725
sal + phosphate	Indo-Pacific	(27.25,27.5]	-0.6253438	-0.6371956	-0.6151721
sal + phosphate	Indo-Pacific	(27.5,27.75]	-0.4671234	-0.4857518	-0.4415693
sal + phosphate	Indo-Pacific	(27.75,27.85]	-0.2654444	-0.2745136	-0.2603057
sal + phosphate	Indo-Pacific	(27.85,27.95]	-0.1240393	-0.1528295	-0.1051983
sal + phosphate	Indo-Pacific	(27.95,28.05]	0.0717860	0.0399700	0.0953360
sal + phosphate	Indo-Pacific	(28.05,28.1]	0.1030320	0.0429091	0.1390695
sal + phosphate	Indo-Pacific	(28.1,28.2]	0.0899174	0.0110750	0.1618309
sal + phosphate	Indo-Pacific	(28.2,28.3]	-0.4172908	-0.4295578	-0.4004063
sal + phosphate	Indo-Pacific	(28.3, Inf]	0.4710525	0.4535648	0.4997466
sal + phosphate	SO	(-Inf,26]	0.0000000	-1.0000000	1.0000000
sal + phosphate	SO	(26,26.5]	0.1764349	0.0769525	0.2853448
sal + phosphate	SO	(26.5,26.75]	-0.5488728	-0.5760994	-0.5034420
sal + phosphate	SO	(26.75,27]	-0.7205136	-0.7482622	-0.7004117
sal + phosphate	SO	(27,27.25]	-0.7061137	-0.7345778	-0.6868011
sal + phosphate	SO	(27.25,27.5]	-0.0697062	-0.1377794	0.0196217
sal + phosphate	SO	(27.5,27.75]	0.3680270	0.3214217	0.4097534
sal + phosphate	SO	(27.75,27.85]	0.6885911	0.6616553	0.7205547
sal + phosphate	SO	(27.85,27.95]	0.7036876	0.6705760	0.7293816
sal + phosphate	SO	(27.95,28.05]	0.5364977	0.5058048	0.5813930
sal + phosphate	SO	(28.05,28.1]	0.2603169	0.2110388	0.3431778
sal + phosphate	SO	(28.1,28.15]	-0.7305286	-0.7378733	-0.7199291
sal + phosphate	SO	(28.1,28.2]	0.5855048	0.5634687	0.6026737
sal + phosphate	SO	(28.15,28.2]	-0.7752774	-0.7926868	-0.7586754
sal + phosphate	SO	(28.2, Inf]	-0.2188906	-0.2483154	-0.1697726
sal + phosphate	SO	(28.2,28.3]	0.5636601	0.5353219	0.5842400
sal + phosphate	SO	(28.3, Inf]	0.7870852	0.7342314	0.8324253
sal + phosphate_star	Atlantic	(-Inf,26]	-0.3186484	-0.4403029	-0.1487478
sal + phosphate_star	Atlantic	(26,26.5]	-0.7893625	-0.8202739	-0.7550914
sal + phosphate_star	Atlantic	(26.5,26.75]	-0.7809971	-0.7980871	-0.7660357
sal + phosphate_star	Atlantic	(26.75,27]	-0.7132434	-0.7298108	-0.7002971
sal + phosphate_star	Atlantic	(27,27.25]	-0.7059001	-0.7338113	-0.6804762
sal + phosphate_star	Atlantic	(27.25,27.5]	-0.6474821	-0.7129925	-0.5910588
sal + phosphate_star	Atlantic	(27.5,27.75]	-0.2342911	-0.3055343	-0.1936530
sal + phosphate_star	Atlantic	(27.75,27.85]	-0.5287519	-0.6055379	-0.4332390
sal + phosphate_star	Atlantic	(27.85,27.95]	-0.5840621	-0.6526059	-0.4927828
sal + phosphate_star	Atlantic	(27.95,28.05]	-0.6351492	-0.6753018	-0.5653083
sal + phosphate_star	Atlantic	(28.05,28.1]	-0.8535211	-0.9017972	-0.8257815
sal + phosphate_star	Atlantic	(28.1,28.15]	-0.8950412	-0.9227244	-0.8422491
sal + phosphate_star	Atlantic	(28.15,28.2]	-0.7337687	-0.7500248	-0.7110279
sal + phosphate_star	Atlantic	(28.2, Inf]	-0.9469551	-0.9486817	-0.9454310
sal + phosphate_star	Indo-Pacific	(-Inf,26]	-0.6796595	-0.7023366	-0.6602866
sal + phosphate_star	Indo-Pacific	(26,26.5]	-0.8807758	-0.8854224	-0.8774115
sal + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.9156561	-0.9192413	-0.9136376
sal + phosphate_star	Indo-Pacific	(26.75,27]	-0.9279498	-0.9305866	-0.9257576
sal + phosphate_star	Indo-Pacific	(27,27.25]	-0.9143503	-0.9187733	-0.9064742
sal + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.8288760	-0.8330295	-0.8257272
sal + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.7604677	-0.7754705	-0.7466281
sal + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.8584156	-0.8633340	-0.8502114
sal + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.6850643	-0.7087599	-0.6709810
sal + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.5015004	-0.5222256	-0.4731819
sal + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.5242878	-0.6030361	-0.4492042
sal + phosphate_star	Indo-Pacific	(28.1,28.2]	-0.0639089	-0.0845400	-0.0345933
sal + phosphate_star	Indo-Pacific	(28.2,28.3]	-0.3868015	-0.4421896	-0.3318933
sal + phosphate_star	Indo-Pacific	(28.3, Inf]	-0.9306914	-0.9361566	-0.9266102
sal + phosphate_star	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
sal + phosphate_star	SO	(26,26.5]	-0.8759405	-0.8770908	-0.8739301
sal + phosphate_star	SO	(26.5,26.75]	-0.9380669	-0.9479440	-0.9300186
sal + phosphate_star	SO	(26.75,27]	-0.9216217	-0.9337549	-0.9153918
sal + phosphate_star	SO	(27,27.25]	-0.9587529	-0.9606326	-0.9552780
sal + phosphate_star	SO	(27.25,27.5]	-0.9482844	-0.9518348	-0.9418766
sal + phosphate_star	SO	(27.5,27.75]	-0.8980517	-0.9093597	-0.8824060
sal + phosphate_star	SO	(27.75,27.85]	-0.9475432	-0.9525983	-0.9434573
sal + phosphate_star	SO	(27.85,27.95]	-0.9371574	-0.9393141	-0.9345215
sal + phosphate_star	SO	(27.95,28.05]	-0.9071421	-0.9202869	-0.8986856
sal + phosphate_star	SO	(28.05,28.1]	-0.8897759	-0.8978346	-0.8845376
sal + phosphate_star	SO	(28.1,28.15]	-0.8908575	-0.9038933	-0.8673301
sal + phosphate_star	SO	(28.1,28.2]	-0.7772852	-0.7809060	-0.7712089
sal + phosphate_star	SO	(28.15,28.2]	-0.9177431	-0.9355323	-0.8989410
sal + phosphate_star	SO	(28.2, Inf]	-0.2492113	-0.2628802	-0.2306500
sal + phosphate_star	SO	(28.2,28.3]	-0.6094135	-0.6340431	-0.5878657
sal + phosphate_star	SO	(28.3, Inf]	-0.5242050	-0.5383584	-0.5078758
sal + silicate	Atlantic	(-Inf,26]	-0.8038034	-0.8194349	-0.7759129
sal + silicate	Atlantic	(26,26.5]	0.0942630	0.0272381	0.1861230
sal + silicate	Atlantic	(26.5,26.75]	0.2070681	0.1825272	0.2301711
sal + silicate	Atlantic	(26.75,27]	0.0339790	-0.0157760	0.0764405
sal + silicate	Atlantic	(27,27.25]	-0.2489511	-0.2956070	-0.2165255
sal + silicate	Atlantic	(27.25,27.5]	-0.2281444	-0.3726008	-0.0835567
sal + silicate	Atlantic	(27.5,27.75]	0.1490574	0.0855659	0.1834143
sal + silicate	Atlantic	(27.75,27.85]	-0.5106830	-0.5845976	-0.4049915
sal + silicate	Atlantic	(27.85,27.95]	-0.6645092	-0.7332142	-0.5777624
sal + silicate	Atlantic	(27.95,28.05]	-0.7491364	-0.7811321	-0.6891407
sal + silicate	Atlantic	(28.05,28.1]	-0.9073813	-0.9364701	-0.8872626
sal + silicate	Atlantic	(28.1,28.15]	-0.8638564	-0.8883393	-0.8230762
sal + silicate	Atlantic	(28.15,28.2]	-0.5936442	-0.6030063	-0.5815976
sal + silicate	Atlantic	(28.2, Inf]	-0.9027713	-0.9057087	-0.9008122
sal + silicate	Indo-Pacific	(-Inf,26]	-0.5385816	-0.5473664	-0.5269953
sal + silicate	Indo-Pacific	(26,26.5]	-0.6030965	-0.6045658	-0.6003293
sal + silicate	Indo-Pacific	(26.5,26.75]	-0.6628501	-0.6642614	-0.6607379
sal + silicate	Indo-Pacific	(26.75,27]	-0.7507141	-0.7595289	-0.7436486
sal + silicate	Indo-Pacific	(27,27.25]	-0.7778422	-0.7822532	-0.7726785
sal + silicate	Indo-Pacific	(27.25,27.5]	-0.7604660	-0.7679740	-0.7542305
sal + silicate	Indo-Pacific	(27.5,27.75]	-0.5964197	-0.6148991	-0.5678508
sal + silicate	Indo-Pacific	(27.75,27.85]	-0.4027318	-0.4087252	-0.3945399
sal + silicate	Indo-Pacific	(27.85,27.95]	-0.2071844	-0.2297633	-0.1825750
sal + silicate	Indo-Pacific	(27.95,28.05]	0.0299936	0.0009965	0.0596365
sal + silicate	Indo-Pacific	(28.05,28.1]	0.0865747	0.0289317	0.1199933
sal + silicate	Indo-Pacific	(28.1,28.2]	0.2183249	0.1608295	0.2711940
sal + silicate	Indo-Pacific	(28.2,28.3]	-0.1144369	-0.1574872	-0.0657008
sal + silicate	Indo-Pacific	(28.3, Inf]	0.7401721	0.7138568	0.7740474
sal + silicate	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
sal + silicate	SO	(26,26.5]	0.7284971	0.6797851	0.7645376
sal + silicate	SO	(26.5,26.75]	0.2869073	0.2108348	0.3278900
sal + silicate	SO	(26.75,27]	-0.2362722	-0.2614686	-0.2200941
sal + silicate	SO	(27,27.25]	-0.4671286	-0.4885552	-0.4515375
sal + silicate	SO	(27.25,27.5]	-0.0418406	-0.1022703	0.0410904
sal + silicate	SO	(27.5,27.75]	0.3403453	0.2973818	0.3706468
sal + silicate	SO	(27.75,27.85]	0.6717353	0.6427822	0.7028446
sal + silicate	SO	(27.85,27.95]	0.7115444	0.6882545	0.7346091
sal + silicate	SO	(27.95,28.05]	0.6238687	0.6000365	0.6500162
sal + silicate	SO	(28.05,28.1]	0.4740113	0.4401918	0.5331993
sal + silicate	SO	(28.1,28.15]	-0.4827771	-0.5184464	-0.4496706
sal + silicate	SO	(28.1,28.2]	0.7469274	0.7368667	0.7571360
sal + silicate	SO	(28.15,28.2]	-0.4771740	-0.5329360	-0.4206557
sal + silicate	SO	(28.2, Inf]	0.3643747	0.3191542	0.4145376
sal + silicate	SO	(28.2,28.3]	0.7799450	0.7732951	0.7835626
sal + silicate	SO	(28.3, Inf]	0.7073493	0.6586496	0.7486974
sal + temp	Atlantic	(-Inf,26]	0.6660353	0.5840662	0.7151743
sal + temp	Atlantic	(26,26.5]	0.9466405	0.9437601	0.9502320
sal + temp	Atlantic	(26.5,26.75]	0.9725966	0.9711725	0.9733981
sal + temp	Atlantic	(26.75,27]	0.9677061	0.9659332	0.9699821
sal + temp	Atlantic	(27,27.25]	0.9604848	0.9560566	0.9643949
sal + temp	Atlantic	(27.25,27.5]	0.9692402	0.9652873	0.9739539
sal + temp	Atlantic	(27.5,27.75]	0.9701011	0.9689662	0.9716223
sal + temp	Atlantic	(27.75,27.85]	0.9619725	0.9595648	0.9639881
sal + temp	Atlantic	(27.85,27.95]	0.9265280	0.9180763	0.9308488
sal + temp	Atlantic	(27.95,28.05]	0.8293153	0.8076782	0.8511494
sal + temp	Atlantic	(28.05,28.1]	0.8578804	0.8554728	0.8609488
sal + temp	Atlantic	(28.1,28.15]	0.7358942	0.7204141	0.7513019
sal + temp	Atlantic	(28.15,28.2]	0.7145249	0.7089241	0.7239410
sal + temp	Atlantic	(28.2, Inf]	0.9262537	0.8903653	0.9525552
sal + temp	Indo-Pacific	(-Inf,26]	0.8152033	0.8048552	0.8211340
sal + temp	Indo-Pacific	(26,26.5]	0.9559275	0.9552131	0.9565303
sal + temp	Indo-Pacific	(26.5,26.75]	0.9817753	0.9803532	0.9833070
sal + temp	Indo-Pacific	(26.75,27]	0.9777542	0.9769669	0.9781515
sal + temp	Indo-Pacific	(27,27.25]	0.9762819	0.9743357	0.9778570
sal + temp	Indo-Pacific	(27.25,27.5]	0.9297094	0.9282928	0.9317708
sal + temp	Indo-Pacific	(27.5,27.75]	0.8184596	0.8085330	0.8254148
sal + temp	Indo-Pacific	(27.75,27.85]	0.9445364	0.9402482	0.9475389
sal + temp	Indo-Pacific	(27.85,27.95]	0.7460340	0.7318129	0.7610818
sal + temp	Indo-Pacific	(27.95,28.05]	0.6927440	0.6742308	0.7183887
sal + temp	Indo-Pacific	(28.05,28.1]	0.9291289	0.9200435	0.9363886
sal + temp	Indo-Pacific	(28.1,28.2]	0.2673557	0.1977843	0.3195908
sal + temp	Indo-Pacific	(28.2,28.3]	0.1335046	0.1053990	0.1621546
sal + temp	Indo-Pacific	(28.3, Inf]	0.9664434	0.9612648	0.9711444
sal + temp	SO	(-Inf,26]	0.0000000	-1.0000000	1.0000000
sal + temp	SO	(26,26.5]	0.9462063	0.9373169	0.9530061
sal + temp	SO	(26.5,26.75]	0.9756415	0.9742683	0.9781565
sal + temp	SO	(26.75,27]	0.9660515	0.9625820	0.9715647
sal + temp	SO	(27,27.25]	0.9583432	0.9557309	0.9609116
sal + temp	SO	(27.25,27.5]	0.9275720	0.9257946	0.9284932
sal + temp	SO	(27.5,27.75]	0.8419155	0.8307178	0.8494379
sal + temp	SO	(27.75,27.85]	0.9370590	0.9358389	0.9391212
sal + temp	SO	(27.85,27.95]	0.9444447	0.9429829	0.9452915
sal + temp	SO	(27.95,28.05]	0.9223160	0.9172934	0.9260869
sal + temp	SO	(28.05,28.1]	0.9352406	0.9323129	0.9382919
sal + temp	SO	(28.1,28.15]	0.9161327	0.9086736	0.9210854
sal + temp	SO	(28.1,28.2]	0.8478470	0.8407206	0.8522246
sal + temp	SO	(28.15,28.2]	0.9224676	0.9174421	0.9252127
sal + temp	SO	(28.2, Inf]	0.6204735	0.6148232	0.6303802
sal + temp	SO	(28.2,28.3]	0.8328194	0.8231405	0.8446635
sal + temp	SO	(28.3, Inf]	0.6775438	0.6629483	0.6988075
silicate + phosphate	Atlantic	(-Inf,26]	-0.0690102	-0.2928443	0.0550027
silicate + phosphate	Atlantic	(26,26.5]	-0.0707286	-0.1139974	-0.0261364
silicate + phosphate	Atlantic	(26.5,26.75]	0.5430043	0.4987052	0.6044684
silicate + phosphate	Atlantic	(26.75,27]	0.8355397	0.8308175	0.8408277
silicate + phosphate	Atlantic	(27,27.25]	0.8876381	0.8771332	0.8972393
silicate + phosphate	Atlantic	(27.25,27.5]	0.8987487	0.8934722	0.9091453
silicate + phosphate	Atlantic	(27.5,27.75]	0.9036023	0.9007554	0.9064121
silicate + phosphate	Atlantic	(27.75,27.85]	0.8792285	0.8699463	0.8865677
silicate + phosphate	Atlantic	(27.85,27.95]	0.8976587	0.8920278	0.9053783
silicate + phosphate	Atlantic	(27.95,28.05]	0.9188037	0.9129577	0.9249244
silicate + phosphate	Atlantic	(28.05,28.1]	0.9495966	0.9440666	0.9547663
silicate + phosphate	Atlantic	(28.1,28.15]	0.9522199	0.9507289	0.9533150
silicate + phosphate	Atlantic	(28.15,28.2]	0.9648835	0.9622317	0.9667510
silicate + phosphate	Atlantic	(28.2, Inf]	0.9826450	0.9811913	0.9837209
silicate + phosphate	Indo-Pacific	(-Inf,26]	0.8900134	0.8895228	0.8905950
silicate + phosphate	Indo-Pacific	(26,26.5]	0.8820088	0.8793029	0.8859515
silicate + phosphate	Indo-Pacific	(26.5,26.75]	0.8510490	0.8485229	0.8550086
silicate + phosphate	Indo-Pacific	(26.75,27]	0.8827349	0.8783524	0.8863058
silicate + phosphate	Indo-Pacific	(27,27.25]	0.9161425	0.9140553	0.9193423
silicate + phosphate	Indo-Pacific	(27.25,27.5]	0.9293330	0.9272430	0.9328252
silicate + phosphate	Indo-Pacific	(27.5,27.75]	0.9369736	0.9363801	0.9380456
silicate + phosphate	Indo-Pacific	(27.75,27.85]	0.9531867	0.9509679	0.9563394
silicate + phosphate	Indo-Pacific	(27.85,27.95]	0.9520774	0.9485455	0.9545733
silicate + phosphate	Indo-Pacific	(27.95,28.05]	0.9690586	0.9663749	0.9728684
silicate + phosphate	Indo-Pacific	(28.05,28.1]	0.9774114	0.9746965	0.9799758
silicate + phosphate	Indo-Pacific	(28.1,28.2]	0.9459662	0.9387934	0.9512806
silicate + phosphate	Indo-Pacific	(28.2,28.3]	0.8154094	0.8099151	0.8187833
silicate + phosphate	Indo-Pacific	(28.3, Inf]	0.9018327	0.8999652	0.9028136
silicate + phosphate	SO	(-Inf,26]	0.0000000	-1.0000000	1.0000000
silicate + phosphate	SO	(26,26.5]	0.7307218	0.6589880	0.7794353
silicate + phosphate	SO	(26.5,26.75]	0.5544401	0.4906210	0.5989045
silicate + phosphate	SO	(26.75,27]	0.7868595	0.7815566	0.7923158
silicate + phosphate	SO	(27,27.25]	0.9056797	0.9006089	0.9112399
silicate + phosphate	SO	(27.25,27.5]	0.9664645	0.9655110	0.9674305
silicate + phosphate	SO	(27.5,27.75]	0.9710865	0.9693265	0.9729665
silicate + phosphate	SO	(27.75,27.85]	0.9789439	0.9761806	0.9816363
silicate + phosphate	SO	(27.85,27.95]	0.9812153	0.9788485	0.9841413
silicate + phosphate	SO	(27.95,28.05]	0.9781826	0.9754010	0.9814850
silicate + phosphate	SO	(28.05,28.1]	0.9609149	0.9535259	0.9661263
silicate + phosphate	SO	(28.1,28.15]	0.9029162	0.8975175	0.9066109
silicate + phosphate	SO	(28.1,28.2]	0.9665577	0.9640944	0.9679418
silicate + phosphate	SO	(28.15,28.2]	0.8854049	0.8698238	0.9055233
silicate + phosphate	SO	(28.2, Inf]	0.7878530	0.7798503	0.7996540
silicate + phosphate	SO	(28.2,28.3]	0.9411538	0.9336720	0.9463328
silicate + phosphate	SO	(28.3, Inf]	0.9213268	0.9122549	0.9368858
silicate + phosphate_star	Atlantic	(-Inf,26]	0.0360270	-0.2803149	0.2218961
silicate + phosphate_star	Atlantic	(26,26.5]	-0.3800845	-0.3988828	-0.3666509
silicate + phosphate_star	Atlantic	(26.5,26.75]	0.0629549	-0.0030670	0.1306554
silicate + phosphate_star	Atlantic	(26.75,27]	0.4579381	0.3934024	0.5360283
silicate + phosphate_star	Atlantic	(27,27.25]	0.8145668	0.8068047	0.8299091
silicate + phosphate_star	Atlantic	(27.25,27.5]	0.8747487	0.8388485	0.9034898
silicate + phosphate_star	Atlantic	(27.5,27.75]	0.9121981	0.9080445	0.9151499
silicate + phosphate_star	Atlantic	(27.75,27.85]	0.9877508	0.9866626	0.9899140
silicate + phosphate_star	Atlantic	(27.85,27.95]	0.9792740	0.9782243	0.9811828
silicate + phosphate_star	Atlantic	(27.95,28.05]	0.9735669	0.9721922	0.9750599
silicate + phosphate_star	Atlantic	(28.05,28.1]	0.9747489	0.9708560	0.9810308
silicate + phosphate_star	Atlantic	(28.1,28.15]	0.9659505	0.9616600	0.9696337
silicate + phosphate_star	Atlantic	(28.15,28.2]	0.9683136	0.9671513	0.9693964
silicate + phosphate_star	Atlantic	(28.2, Inf]	0.9864950	0.9849910	0.9876097
silicate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7567771	0.7519699	0.7662074
silicate + phosphate_star	Indo-Pacific	(26,26.5]	0.7638423	0.7621592	0.7656941
silicate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.7827621	0.7719306	0.7903859
silicate + phosphate_star	Indo-Pacific	(26.75,27]	0.8164528	0.8121968	0.8236455
silicate + phosphate_star	Indo-Pacific	(27,27.25]	0.8373172	0.8360522	0.8387236
silicate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.7933154	0.7780338	0.8068570
silicate + phosphate_star	Indo-Pacific	(27.5,27.75]	0.6936163	0.6823691	0.7021372
silicate + phosphate_star	Indo-Pacific	(27.75,27.85]	0.5529633	0.5406812	0.5617525
silicate + phosphate_star	Indo-Pacific	(27.85,27.95]	0.5903742	0.5711733	0.6014341
silicate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.5919643	0.5810119	0.6038955
silicate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.6713669	0.6529033	0.6873426
silicate + phosphate_star	Indo-Pacific	(28.1,28.2]	0.7577820	0.7543964	0.7634254
silicate + phosphate_star	Indo-Pacific	(28.2,28.3]	0.6796702	0.6526740	0.6948795
silicate + phosphate_star	Indo-Pacific	(28.3, Inf]	-0.5118283	-0.5679653	-0.4695152
silicate + phosphate_star	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
silicate + phosphate_star	SO	(26,26.5]	-0.5983111	-0.6392413	-0.5508165
silicate + phosphate_star	SO	(26.5,26.75]	-0.1947980	-0.2304445	-0.1361603
silicate + phosphate_star	SO	(26.75,27]	0.3337445	0.3241312	0.3452297
silicate + phosphate_star	SO	(27,27.25]	0.5321469	0.5131682	0.5461362
silicate + phosphate_star	SO	(27.25,27.5]	0.2189728	0.1734569	0.2480518
silicate + phosphate_star	SO	(27.5,27.75]	-0.0179822	-0.0565503	0.0042792
silicate + phosphate_star	SO	(27.75,27.85]	-0.5293571	-0.5705421	-0.4872330
silicate + phosphate_star	SO	(27.85,27.95]	-0.5279711	-0.5523425	-0.5035228
silicate + phosphate_star	SO	(27.95,28.05]	-0.3733751	-0.3844769	-0.3674182
silicate + phosphate_star	SO	(28.05,28.1]	-0.2251781	-0.2694786	-0.1929105
silicate + phosphate_star	SO	(28.1,28.15]	0.4318395	0.3568916	0.4729910
silicate + phosphate_star	SO	(28.1,28.2]	-0.3687834	-0.3897217	-0.3554367
silicate + phosphate_star	SO	(28.15,28.2]	0.3983220	0.3630761	0.4653958
silicate + phosphate_star	SO	(28.2, Inf]	0.7244855	0.6982985	0.7452235
silicate + phosphate_star	SO	(28.2,28.3]	-0.2347416	-0.2606227	-0.2057823
silicate + phosphate_star	SO	(28.3, Inf]	0.0601371	0.0270903	0.0941932
temp + aou	Atlantic	(-Inf,26]	-0.5762651	-0.5821752	-0.5669336
temp + aou	Atlantic	(26,26.5]	-0.3914740	-0.4076048	-0.3789347
temp + aou	Atlantic	(26.5,26.75]	0.0471604	0.0319660	0.0733441
temp + aou	Atlantic	(26.75,27]	0.2677269	0.2382763	0.3008521
temp + aou	Atlantic	(27,27.25]	0.1822674	0.1782758	0.1852849
temp + aou	Atlantic	(27.25,27.5]	0.1698127	0.0873073	0.2393914
temp + aou	Atlantic	(27.5,27.75]	0.4731344	0.4197694	0.5054127
temp + aou	Atlantic	(27.75,27.85]	0.1255924	0.0024299	0.2119870
temp + aou	Atlantic	(27.85,27.95]	-0.0691392	-0.1344468	0.0381099
temp + aou	Atlantic	(27.95,28.05]	-0.1924337	-0.2448963	-0.1544010
temp + aou	Atlantic	(28.05,28.1]	-0.5100519	-0.5312308	-0.4784088
temp + aou	Atlantic	(28.1,28.15]	-0.5942455	-0.6364155	-0.5394756
temp + aou	Atlantic	(28.15,28.2]	-0.7946079	-0.8072417	-0.7766476
temp + aou	Atlantic	(28.2, Inf]	-0.9013614	-0.9248043	-0.8688452
temp + aou	Indo-Pacific	(-Inf,26]	-0.3914880	-0.4002429	-0.3788638
temp + aou	Indo-Pacific	(26,26.5]	-0.2336011	-0.2393558	-0.2279939
temp + aou	Indo-Pacific	(26.5,26.75]	-0.1826873	-0.2063267	-0.1578044
temp + aou	Indo-Pacific	(26.75,27]	-0.3290629	-0.3407199	-0.3232234
temp + aou	Indo-Pacific	(27,27.25]	-0.4819989	-0.4977032	-0.4674185
temp + aou	Indo-Pacific	(27.25,27.5]	-0.5337402	-0.5529436	-0.5226770
temp + aou	Indo-Pacific	(27.5,27.75]	-0.3436101	-0.3593740	-0.3267269
temp + aou	Indo-Pacific	(27.75,27.85]	-0.1550543	-0.1707065	-0.1418803
temp + aou	Indo-Pacific	(27.85,27.95]	-0.0656695	-0.0785841	-0.0570824
temp + aou	Indo-Pacific	(27.95,28.05]	0.0309119	0.0247760	0.0382607
temp + aou	Indo-Pacific	(28.05,28.1]	0.0937967	0.0549575	0.1235019
temp + aou	Indo-Pacific	(28.1,28.2]	0.1856843	0.1646991	0.1993226
temp + aou	Indo-Pacific	(28.2,28.3]	0.5054387	0.4971316	0.5164518
temp + aou	Indo-Pacific	(28.3, Inf]	0.6832179	0.6449484	0.7220209
temp + aou	SO	(-Inf,26]	0.0000000	-1.0000000	1.0000000
temp + aou	SO	(26,26.5]	0.6404887	0.6329560	0.6484212
temp + aou	SO	(26.5,26.75]	0.1703086	0.0793433	0.2439288
temp + aou	SO	(26.75,27]	-0.2248774	-0.2565060	-0.1771159
temp + aou	SO	(27,27.25]	-0.0576937	-0.0883045	-0.0179270
temp + aou	SO	(27.25,27.5]	0.3540273	0.3293154	0.3918555
temp + aou	SO	(27.5,27.75]	0.3744897	0.3492820	0.4135244
temp + aou	SO	(27.75,27.85]	0.7565099	0.7461685	0.7662593
temp + aou	SO	(27.85,27.95]	0.8167530	0.8058894	0.8291217
temp + aou	SO	(27.95,28.05]	0.7870442	0.7755787	0.7948395
temp + aou	SO	(28.05,28.1]	0.7251891	0.7169757	0.7368652
temp + aou	SO	(28.1,28.15]	0.2172020	0.1714348	0.2434624
temp + aou	SO	(28.1,28.2]	0.7634054	0.7607961	0.7685145
temp + aou	SO	(28.15,28.2]	-0.0353799	-0.0800633	-0.0015470
temp + aou	SO	(28.2, Inf]	-0.0074499	-0.0490770	0.0148853
temp + aou	SO	(28.2,28.3]	0.7672559	0.7671690	0.7674152
temp + aou	SO	(28.3, Inf]	0.5715261	0.5340058	0.6065478
temp + nitrate	Atlantic	(-Inf,26]	-0.7515380	-0.7709628	-0.7332952
temp + nitrate	Atlantic	(26,26.5]	-0.4048971	-0.4125316	-0.3941982
temp + nitrate	Atlantic	(26.5,26.75]	-0.0165941	-0.0544906	0.0133395
temp + nitrate	Atlantic	(26.75,27]	0.2028369	0.1652101	0.2366549
temp + nitrate	Atlantic	(27,27.25]	0.0674364	0.0518314	0.0816969
temp + nitrate	Atlantic	(27.25,27.5]	0.0350192	-0.0801897	0.1404241
temp + nitrate	Atlantic	(27.5,27.75]	0.3744024	0.3166712	0.4054385
temp + nitrate	Atlantic	(27.75,27.85]	-0.1518802	-0.2786388	-0.0347681
temp + nitrate	Atlantic	(27.85,27.95]	-0.3087486	-0.3774831	-0.1941723
temp + nitrate	Atlantic	(27.95,28.05]	-0.3268816	-0.3828746	-0.2899504
temp + nitrate	Atlantic	(28.05,28.1]	-0.5780549	-0.6206926	-0.5426174
temp + nitrate	Atlantic	(28.1,28.15]	-0.6325101	-0.6812249	-0.5566452
temp + nitrate	Atlantic	(28.15,28.2]	-0.8297209	-0.8539779	-0.8139784
temp + nitrate	Atlantic	(28.2, Inf]	-0.8969242	-0.9388840	-0.8374746
temp + nitrate	Indo-Pacific	(-Inf,26]	-0.5535451	-0.5636074	-0.5353759
temp + nitrate	Indo-Pacific	(26,26.5]	-0.5125678	-0.5177772	-0.5079354
temp + nitrate	Indo-Pacific	(26.5,26.75]	-0.4864284	-0.4884811	-0.4847834
temp + nitrate	Indo-Pacific	(26.75,27]	-0.6172336	-0.6323333	-0.6014236
temp + nitrate	Indo-Pacific	(27,27.25]	-0.7138781	-0.7283064	-0.7008235
temp + nitrate	Indo-Pacific	(27.25,27.5]	-0.7120339	-0.7237599	-0.7035908
temp + nitrate	Indo-Pacific	(27.5,27.75]	-0.5550290	-0.5703032	-0.5386476
temp + nitrate	Indo-Pacific	(27.75,27.85]	-0.2961128	-0.3072665	-0.2847543
temp + nitrate	Indo-Pacific	(27.85,27.95]	-0.2348718	-0.2518667	-0.2201170
temp + nitrate	Indo-Pacific	(27.95,28.05]	-0.0913290	-0.0997284	-0.0748657
temp + nitrate	Indo-Pacific	(28.05,28.1]	-0.0317081	-0.0743400	-0.0040645
temp + nitrate	Indo-Pacific	(28.1,28.2]	0.0663890	0.0509152	0.0781768
temp + nitrate	Indo-Pacific	(28.2,28.3]	0.3812955	0.3737357	0.3905143
temp + nitrate	Indo-Pacific	(28.3, Inf]	0.3110547	0.2794352	0.3487939
temp + nitrate	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
temp + nitrate	SO	(26,26.5]	0.2503771	0.1633697	0.3249904
temp + nitrate	SO	(26.5,26.75]	-0.4650427	-0.4986101	-0.4244434
temp + nitrate	SO	(26.75,27]	-0.6966126	-0.7202818	-0.6753965
temp + nitrate	SO	(27,27.25]	-0.6890606	-0.7106363	-0.6641498
temp + nitrate	SO	(27.25,27.5]	-0.2773198	-0.3154545	-0.2268860
temp + nitrate	SO	(27.5,27.75]	-0.0728642	-0.1108003	-0.0216507
temp + nitrate	SO	(27.75,27.85]	0.5683679	0.5434047	0.6001801
temp + nitrate	SO	(27.85,27.95]	0.6159687	0.5833696	0.6365804
temp + nitrate	SO	(27.95,28.05]	0.4787037	0.4559959	0.5133841
temp + nitrate	SO	(28.05,28.1]	0.2569443	0.1994673	0.3338017
temp + nitrate	SO	(28.1,28.15]	-0.7377341	-0.7800552	-0.6956088
temp + nitrate	SO	(28.1,28.2]	0.4973435	0.4866250	0.5077313
temp + nitrate	SO	(28.15,28.2]	-0.8038608	-0.8387465	-0.7634999
temp + nitrate	SO	(28.2, Inf]	-0.7242340	-0.7597036	-0.6946426
temp + nitrate	SO	(28.2,28.3]	0.5548371	0.5400480	0.5649557
temp + nitrate	SO	(28.3, Inf]	0.4985650	0.4882659	0.5171430
temp + phosphate	Atlantic	(-Inf,26]	-0.6117621	-0.6685354	-0.5249537
temp + phosphate	Atlantic	(26,26.5]	-0.5951394	-0.6162486	-0.5722677
temp + phosphate	Atlantic	(26.5,26.75]	-0.1937080	-0.2222417	-0.1677564
temp + phosphate	Atlantic	(26.75,27]	0.0990394	0.0590032	0.1359869
temp + phosphate	Atlantic	(27,27.25]	-0.0240692	-0.0379167	-0.0102210
temp + phosphate	Atlantic	(27.25,27.5]	-0.0381601	-0.1508316	0.0627431
temp + phosphate	Atlantic	(27.5,27.75]	0.3184083	0.2565388	0.3511461
temp + phosphate	Atlantic	(27.75,27.85]	-0.1945819	-0.3203075	-0.0767631
temp + phosphate	Atlantic	(27.85,27.95]	-0.3460615	-0.4155211	-0.2324174
temp + phosphate	Atlantic	(27.95,28.05]	-0.3539730	-0.4093124	-0.3132948
temp + phosphate	Atlantic	(28.05,28.1]	-0.6063760	-0.6497930	-0.5724542
temp + phosphate	Atlantic	(28.1,28.15]	-0.6653876	-0.7150904	-0.5867899
temp + phosphate	Atlantic	(28.15,28.2]	-0.8467966	-0.8703334	-0.8311638
temp + phosphate	Atlantic	(28.2, Inf]	-0.8941147	-0.9331460	-0.8385074
temp + phosphate	Indo-Pacific	(-Inf,26]	-0.4931429	-0.5024145	-0.4820593
temp + phosphate	Indo-Pacific	(26,26.5]	-0.4543708	-0.4609662	-0.4481614
temp + phosphate	Indo-Pacific	(26.5,26.75]	-0.3987164	-0.4098475	-0.3893369
temp + phosphate	Indo-Pacific	(26.75,27]	-0.5251714	-0.5312875	-0.5169592
temp + phosphate	Indo-Pacific	(27,27.25]	-0.6224047	-0.6276212	-0.6135040
temp + phosphate	Indo-Pacific	(27.25,27.5]	-0.6442542	-0.6583267	-0.6355501
temp + phosphate	Indo-Pacific	(27.5,27.75]	-0.4764519	-0.4948956	-0.4595495
temp + phosphate	Indo-Pacific	(27.75,27.85]	-0.2374203	-0.2535058	-0.2221426
temp + phosphate	Indo-Pacific	(27.85,27.95]	-0.1536002	-0.1707769	-0.1428253
temp + phosphate	Indo-Pacific	(27.95,28.05]	-0.0270405	-0.0337688	-0.0170930
temp + phosphate	Indo-Pacific	(28.05,28.1]	0.0576359	0.0147166	0.0866915
temp + phosphate	Indo-Pacific	(28.1,28.2]	0.1533653	0.1334522	0.1664208
temp + phosphate	Indo-Pacific	(28.2,28.3]	0.4607083	0.4524527	0.4705638
temp + phosphate	Indo-Pacific	(28.3, Inf]	0.4860581	0.4541208	0.5206169
temp + phosphate	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
temp + phosphate	SO	(26,26.5]	0.0917639	0.0142260	0.1898078
temp + phosphate	SO	(26.5,26.75]	-0.5592946	-0.5984018	-0.5154554
temp + phosphate	SO	(26.75,27]	-0.7242753	-0.7473751	-0.7096125
temp + phosphate	SO	(27,27.25]	-0.7014910	-0.7212993	-0.6803096
temp + phosphate	SO	(27.25,27.5]	-0.2999066	-0.3404445	-0.2486023
temp + phosphate	SO	(27.5,27.75]	-0.0734969	-0.1122687	-0.0234579
temp + phosphate	SO	(27.75,27.85]	0.5653738	0.5395280	0.5962511
temp + phosphate	SO	(27.85,27.95]	0.6112326	0.5806258	0.6311794
temp + phosphate	SO	(27.95,28.05]	0.4819821	0.4593208	0.5156791
temp + phosphate	SO	(28.05,28.1]	0.2832094	0.2276387	0.3566824
temp + phosphate	SO	(28.1,28.15]	-0.7438055	-0.7853180	-0.6997012
temp + phosphate	SO	(28.1,28.2]	0.5276686	0.5163933	0.5376175
temp + phosphate	SO	(28.15,28.2]	-0.7990975	-0.8386542	-0.7549445
temp + phosphate	SO	(28.2, Inf]	-0.6142391	-0.6494760	-0.5919600
temp + phosphate	SO	(28.2,28.3]	0.5978825	0.5862263	0.6071302
temp + phosphate	SO	(28.3, Inf]	0.5223566	0.5054258	0.5415220
temp + phosphate_star	Atlantic	(-Inf,26]	-0.7197283	-0.8239503	-0.5605038
temp + phosphate_star	Atlantic	(26,26.5]	-0.8040287	-0.8246287	-0.7797082
temp + phosphate_star	Atlantic	(26.5,26.75]	-0.7959254	-0.8121319	-0.7839174
temp + phosphate_star	Atlantic	(26.75,27]	-0.7440165	-0.7501471	-0.7409071
temp + phosphate_star	Atlantic	(27,27.25]	-0.6995499	-0.7242262	-0.6736929
temp + phosphate_star	Atlantic	(27.25,27.5]	-0.6084779	-0.6771813	-0.5536326
temp + phosphate_star	Atlantic	(27.5,27.75]	-0.2499393	-0.3078691	-0.2192085
temp + phosphate_star	Atlantic	(27.75,27.85]	-0.5427346	-0.6295840	-0.4457716
temp + phosphate_star	Atlantic	(27.85,27.95]	-0.5978272	-0.6573891	-0.5104682
temp + phosphate_star	Atlantic	(27.95,28.05]	-0.5466285	-0.5910931	-0.4969590
temp + phosphate_star	Atlantic	(28.05,28.1]	-0.7155998	-0.7673645	-0.6854418
temp + phosphate_star	Atlantic	(28.1,28.15]	-0.7524342	-0.8020987	-0.6646402
temp + phosphate_star	Atlantic	(28.15,28.2]	-0.8945656	-0.9234509	-0.8774979
temp + phosphate_star	Atlantic	(28.2, Inf]	-0.9110595	-0.9493910	-0.8562898
temp + phosphate_star	Indo-Pacific	(-Inf,26]	-0.8244339	-0.8425540	-0.7987813
temp + phosphate_star	Indo-Pacific	(26,26.5]	-0.9221460	-0.9249775	-0.9192969
temp + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.9312536	-0.9340835	-0.9296407
temp + phosphate_star	Indo-Pacific	(26.75,27]	-0.9420471	-0.9445675	-0.9396674
temp + phosphate_star	Indo-Pacific	(27,27.25]	-0.9397618	-0.9425231	-0.9362924
temp + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.9221939	-0.9236379	-0.9204149
temp + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.9335150	-0.9380551	-0.9299828
temp + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.8781101	-0.8849940	-0.8723073
temp + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.8804456	-0.8873094	-0.8744797
temp + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.7811640	-0.7944548	-0.7670360
temp + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.5718571	-0.6273176	-0.5235536
temp + phosphate_star	Indo-Pacific	(28.1,28.2]	-0.4424742	-0.4529071	-0.4278836
temp + phosphate_star	Indo-Pacific	(28.2,28.3]	-0.3573803	-0.3762490	-0.3447273
temp + phosphate_star	Indo-Pacific	(28.3, Inf]	-0.8992804	-0.9095512	-0.8932606
temp + phosphate_star	SO	(-Inf,26]	0.0000000	-1.0000000	1.0000000
temp + phosphate_star	SO	(26,26.5]	-0.9531101	-0.9602270	-0.9479166
temp + phosphate_star	SO	(26.5,26.75]	-0.9592214	-0.9629561	-0.9548669
temp + phosphate_star	SO	(26.75,27]	-0.9474607	-0.9547155	-0.9423345
temp + phosphate_star	SO	(27,27.25]	-0.9774799	-0.9785878	-0.9765307
temp + phosphate_star	SO	(27.25,27.5]	-0.9899884	-0.9911689	-0.9893378
temp + phosphate_star	SO	(27.5,27.75]	-0.9810509	-0.9833778	-0.9788800
temp + phosphate_star	SO	(27.75,27.85]	-0.9655088	-0.9676740	-0.9621544
temp + phosphate_star	SO	(27.85,27.95]	-0.9593365	-0.9624605	-0.9549733
temp + phosphate_star	SO	(27.95,28.05]	-0.9332732	-0.9399790	-0.9284492
temp + phosphate_star	SO	(28.05,28.1]	-0.9105792	-0.9211921	-0.9049005
temp + phosphate_star	SO	(28.1,28.15]	-0.9150530	-0.9192162	-0.9087841
temp + phosphate_star	SO	(28.1,28.2]	-0.8672674	-0.8728537	-0.8583923
temp + phosphate_star	SO	(28.15,28.2]	-0.9164789	-0.9223852	-0.9056545
temp + phosphate_star	SO	(28.2, Inf]	-0.7583453	-0.7685506	-0.7410073
temp + phosphate_star	SO	(28.2,28.3]	-0.7631610	-0.7636307	-0.7622394
temp + phosphate_star	SO	(28.3, Inf]	-0.5036371	-0.5426954	-0.4628067
temp + silicate	Atlantic	(-Inf,26]	-0.4679069	-0.5301045	-0.4250668
temp + silicate	Atlantic	(26,26.5]	0.0800088	0.0530149	0.1236372
temp + silicate	Atlantic	(26.5,26.75]	0.1179351	0.0901104	0.1468771
temp + silicate	Atlantic	(26.75,27]	-0.0941428	-0.1242728	-0.0562920
temp + silicate	Atlantic	(27,27.25]	-0.2615700	-0.3016619	-0.2305449
temp + silicate	Atlantic	(27.25,27.5]	-0.1799827	-0.3248943	-0.0402564
temp + silicate	Atlantic	(27.5,27.75]	0.1479784	0.0984544	0.1772591
temp + silicate	Atlantic	(27.75,27.85]	-0.5060244	-0.5875281	-0.4019081
temp + silicate	Atlantic	(27.85,27.95]	-0.6376535	-0.6968997	-0.5504981
temp + silicate	Atlantic	(27.95,28.05]	-0.6414414	-0.6736815	-0.6035804
temp + silicate	Atlantic	(28.05,28.1]	-0.7977466	-0.8293875	-0.7768729
temp + silicate	Atlantic	(28.1,28.15]	-0.8074489	-0.8520275	-0.7370562
temp + silicate	Atlantic	(28.15,28.2]	-0.8524510	-0.8661716	-0.8447524
temp + silicate	Atlantic	(28.2, Inf]	-0.9058067	-0.9334004	-0.8663914
temp + silicate	Indo-Pacific	(-Inf,26]	-0.5951896	-0.5997620	-0.5865200
temp + silicate	Indo-Pacific	(26,26.5]	-0.6275219	-0.6297896	-0.6240773
temp + silicate	Indo-Pacific	(26.5,26.75]	-0.6654943	-0.6689925	-0.6620359
temp + silicate	Indo-Pacific	(26.75,27]	-0.7336534	-0.7421168	-0.7257160
temp + silicate	Indo-Pacific	(27,27.25]	-0.7864160	-0.7945870	-0.7790412
temp + silicate	Indo-Pacific	(27.25,27.5]	-0.8007843	-0.8090277	-0.7964848
temp + silicate	Indo-Pacific	(27.5,27.75]	-0.6617549	-0.6767019	-0.6522559
temp + silicate	Indo-Pacific	(27.75,27.85]	-0.4030245	-0.4146508	-0.3942174
temp + silicate	Indo-Pacific	(27.85,27.95]	-0.3334961	-0.3434836	-0.3202310
temp + silicate	Indo-Pacific	(27.95,28.05]	-0.1477360	-0.1642532	-0.1210746
temp + silicate	Indo-Pacific	(28.05,28.1]	0.0136987	-0.0285558	0.0421687
temp + silicate	Indo-Pacific	(28.1,28.2]	-0.0244003	-0.0525476	-0.0047891
temp + silicate	Indo-Pacific	(28.2,28.3]	0.1770004	0.1730857	0.1847663
temp + silicate	Indo-Pacific	(28.3, Inf]	0.7425080	0.7063291	0.7793486
temp + silicate	SO	(-Inf,26]	0.0000000	-1.0000000	1.0000000
temp + silicate	SO	(26,26.5]	0.6512373	0.6113642	0.6872338
temp + silicate	SO	(26.5,26.75]	0.2549853	0.1957325	0.2883594
temp + silicate	SO	(26.75,27]	-0.2844223	-0.2981128	-0.2732629
temp + silicate	SO	(27,27.25]	-0.5315212	-0.5472660	-0.5160641
temp + silicate	SO	(27.25,27.5]	-0.2965505	-0.3377648	-0.2390734
temp + silicate	SO	(27.5,27.75]	-0.0857606	-0.1241218	-0.0480223
temp + silicate	SO	(27.75,27.85]	0.5444389	0.5166713	0.5740819
temp + silicate	SO	(27.85,27.95]	0.6094991	0.5899890	0.6271717
temp + silicate	SO	(27.95,28.05]	0.5502171	0.5337674	0.5696789
temp + silicate	SO	(28.05,28.1]	0.4823145	0.4496768	0.5348473
temp + silicate	SO	(28.1,28.15]	-0.5151381	-0.5562436	-0.4357652
temp + silicate	SO	(28.1,28.2]	0.6422651	0.6413184	0.6441169
temp + silicate	SO	(28.15,28.2]	-0.5050223	-0.5957440	-0.4061620
temp + silicate	SO	(28.2, Inf]	-0.2316770	-0.2615824	-0.1891093
temp + silicate	SO	(28.2,28.3]	0.7016708	0.6982552	0.7039754
temp + silicate	SO	(28.3, Inf]	0.4070746	0.3992682	0.4162560

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
a618f02	Donghe-Zhu	2021-05-27
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
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]	0.3793090	0.1809333	0.5417091
aou	Atlantic	(26,26.5]	0.0512779	-0.0114017	0.1107732
aou	Atlantic	(26.5,26.75]	-0.0439342	-0.1522657	0.0439041
aou	Atlantic	(26.75,27]	-0.0598633	-0.2331888	0.1374570
aou	Atlantic	(27,27.25]	-0.4849991	-0.5950590	-0.3494265
aou	Atlantic	(27.25,27.5]	-0.6767109	-0.7397046	-0.6151647
aou	Atlantic	(27.5,27.75]	-0.7737466	-0.7825714	-0.7638675
aou	Atlantic	(27.75,27.85]	-0.7477050	-0.7750954	-0.7241851
aou	Atlantic	(27.85,27.95]	-0.8294304	-0.8492742	-0.8104012
aou	Atlantic	(27.95,28.05]	-0.7623341	-0.7834366	-0.7415182
aou	Atlantic	(28.05,28.1]	-0.9588602	-0.9662469	-0.9522395
aou	Atlantic	(28.1,28.15]	-0.9557742	-0.9673664	-0.9355519
aou	Atlantic	(28.15,28.2]	-0.9506788	-0.9625786	-0.9437966
aou	Atlantic	(28.2, Inf]	-0.9625070	-0.9739005	-0.9460938
aou	Indo-Pacific	(-Inf,26]	-0.0944536	-0.1888965	0.0389367
aou	Indo-Pacific	(26,26.5]	-0.4158673	-0.5313106	-0.2475312
aou	Indo-Pacific	(26.5,26.75]	-0.6939285	-0.7568184	-0.5906550
aou	Indo-Pacific	(26.75,27]	-0.8121204	-0.8488665	-0.7516378
aou	Indo-Pacific	(27,27.25]	-0.6298393	-0.7188446	-0.5155279
aou	Indo-Pacific	(27.25,27.5]	-0.3310659	-0.4888284	-0.1237399
aou	Indo-Pacific	(27.5,27.75]	0.2377263	0.0403599	0.4618447
aou	Indo-Pacific	(27.75,27.85]	0.8301790	0.7882903	0.8759759
aou	Indo-Pacific	(27.85,27.95]	0.9054785	0.8875015	0.9248941
aou	Indo-Pacific	(27.95,28.05]	0.9412235	0.9392372	0.9447861
aou	Indo-Pacific	(28.05,28.1]	0.9422113	0.9376173	0.9472599
aou	Indo-Pacific	(28.1,28.2]	0.8800388	0.8686996	0.8897188
aou	Indo-Pacific	(28.2,28.3]	0.6433358	0.6393915	0.6474733
aou	Indo-Pacific	(28.3, Inf]	0.8445733	0.8412107	0.8487452
aou	SO	(-Inf,26]	NA	NA	NA
aou	SO	(26,26.5]	0.3229434	0.1035145	0.5419597
aou	SO	(26.5,26.75]	-0.0469400	-0.1579158	0.0676979
aou	SO	(26.75,27]	-0.4253378	-0.4505841	-0.3832997
aou	SO	(27,27.25]	-0.3976294	-0.4420237	-0.3236252
aou	SO	(27.25,27.5]	-0.2655374	-0.4145012	-0.0298084
aou	SO	(27.5,27.75]	-0.5093903	-0.7195837	-0.1970192
aou	SO	(27.75,27.85]	-0.5780872	-0.8867829	-0.0732449
aou	SO	(27.85,27.95]	-0.5354523	-0.8510106	-0.0242257
aou	SO	(27.95,28.05]	-0.4537495	-0.7770142	-0.0102297
aou	SO	(28.05,28.1]	-0.4849005	-0.7476099	-0.1585053
aou	SO	(28.1,28.15]	-0.2181189	-0.3535428	-0.1061950
aou	SO	(28.1,28.2]	-0.6070810	-0.8481837	-0.2312895
aou	SO	(28.15,28.2]	-0.3794854	-0.4835057	-0.2914479
aou	SO	(28.2, Inf]	0.0537717	0.0420896	0.0755445
aou	SO	(28.2,28.3]	-0.4381803	-0.6905679	-0.0402718
aou	SO	(28.3, Inf]	0.3397526	0.2337813	0.4652374
nitrate	Atlantic	(-Inf,26]	0.1105002	-0.0589555	0.3325999
nitrate	Atlantic	(26,26.5]	-0.1850164	-0.2837129	-0.0754975
nitrate	Atlantic	(26.5,26.75]	-0.2014904	-0.3081504	-0.1157152
nitrate	Atlantic	(26.75,27]	-0.1659328	-0.3340317	0.0243256
nitrate	Atlantic	(27,27.25]	-0.6296897	-0.7189228	-0.5189112
nitrate	Atlantic	(27.25,27.5]	-0.8220695	-0.8549844	-0.7846771
nitrate	Atlantic	(27.5,27.75]	-0.9091051	-0.9139852	-0.9034971
nitrate	Atlantic	(27.75,27.85]	-0.9298319	-0.9339221	-0.9229239
nitrate	Atlantic	(27.85,27.95]	-0.9349680	-0.9433970	-0.9297963
nitrate	Atlantic	(27.95,28.05]	-0.8329958	-0.8502908	-0.8167584
nitrate	Atlantic	(28.05,28.1]	-0.9894049	-0.9926305	-0.9866332
nitrate	Atlantic	(28.1,28.15]	-0.9883778	-0.9922476	-0.9816860
nitrate	Atlantic	(28.15,28.2]	-0.9875748	-0.9913552	-0.9846218
nitrate	Atlantic	(28.2, Inf]	-0.9941106	-0.9956405	-0.9917656
nitrate	Indo-Pacific	(-Inf,26]	-0.0955542	-0.1782272	0.0222838
nitrate	Indo-Pacific	(26,26.5]	-0.4322087	-0.5365623	-0.2744545
nitrate	Indo-Pacific	(26.5,26.75]	-0.6070278	-0.6358553	-0.5537517
nitrate	Indo-Pacific	(26.75,27]	-0.6316158	-0.6623600	-0.5904150
nitrate	Indo-Pacific	(27,27.25]	-0.4234408	-0.5073202	-0.3213874
nitrate	Indo-Pacific	(27.25,27.5]	-0.2170744	-0.3633477	-0.0360134
nitrate	Indo-Pacific	(27.5,27.75]	0.2080685	0.0214275	0.4380030
nitrate	Indo-Pacific	(27.75,27.85]	0.8177225	0.7748730	0.8644644
nitrate	Indo-Pacific	(27.85,27.95]	0.8952240	0.8774933	0.9156372
nitrate	Indo-Pacific	(27.95,28.05]	0.9412941	0.9382417	0.9463024
nitrate	Indo-Pacific	(28.05,28.1]	0.9445311	0.9409917	0.9470135
nitrate	Indo-Pacific	(28.1,28.2]	0.8975333	0.8828204	0.9093233
nitrate	Indo-Pacific	(28.2,28.3]	0.7130465	0.7096943	0.7166042
nitrate	Indo-Pacific	(28.3, Inf]	0.6353190	0.6084405	0.6651582
nitrate	SO	(-Inf,26]	NA	NA	NA
nitrate	SO	(26,26.5]	0.1982453	-0.0401609	0.4739332
nitrate	SO	(26.5,26.75]	-0.5038274	-0.6621706	-0.3482554
nitrate	SO	(26.75,27]	-0.8017875	-0.8428041	-0.7296968
nitrate	SO	(27,27.25]	-0.8719674	-0.8961337	-0.8329304
nitrate	SO	(27.25,27.5]	-0.7537459	-0.8620241	-0.5871902
nitrate	SO	(27.5,27.75]	-0.7760892	-0.9140115	-0.5607676
nitrate	SO	(27.75,27.85]	-0.6392633	-0.8810992	-0.2283586
nitrate	SO	(27.85,27.95]	-0.5533113	-0.8013576	-0.1581614
nitrate	SO	(27.95,28.05]	-0.5465274	-0.7517377	-0.2158960
nitrate	SO	(28.05,28.1]	-0.6158311	-0.7512989	-0.4349061
nitrate	SO	(28.1,28.15]	-0.7879130	-0.8238375	-0.7623494
nitrate	SO	(28.1,28.2]	-0.5721359	-0.6862106	-0.3796376
nitrate	SO	(28.15,28.2]	-0.8665086	-0.8782505	-0.8466289
nitrate	SO	(28.2, Inf]	-0.7069298	-0.7569424	-0.6603492
nitrate	SO	(28.2,28.3]	-0.4139690	-0.5375018	-0.2032217
nitrate	SO	(28.3, Inf]	-0.0432397	-0.1070228	0.0101574
phosphate	Atlantic	(-Inf,26]	0.4292565	0.2498270	0.5525408
phosphate	Atlantic	(26,26.5]	0.0773860	0.0551682	0.1064018
phosphate	Atlantic	(26.5,26.75]	-0.2033244	-0.2757239	-0.1573561
phosphate	Atlantic	(26.75,27]	-0.2090216	-0.3578250	-0.0395351
phosphate	Atlantic	(27,27.25]	-0.6563656	-0.7367204	-0.5578753
phosphate	Atlantic	(27.25,27.5]	-0.8265943	-0.8489565	-0.7991169
phosphate	Atlantic	(27.5,27.75]	-0.9076398	-0.9120339	-0.9021972
phosphate	Atlantic	(27.75,27.85]	-0.9405732	-0.9444802	-0.9345011
phosphate	Atlantic	(27.85,27.95]	-0.9384253	-0.9471763	-0.9333501
phosphate	Atlantic	(27.95,28.05]	-0.8484175	-0.8637266	-0.8338625
phosphate	Atlantic	(28.05,28.1]	-0.9898236	-0.9932471	-0.9870454
phosphate	Atlantic	(28.1,28.15]	-0.9880481	-0.9917854	-0.9818873
phosphate	Atlantic	(28.15,28.2]	-0.9790178	-0.9844579	-0.9759661
phosphate	Atlantic	(28.2, Inf]	-0.9899767	-0.9920294	-0.9869733
phosphate	Indo-Pacific	(-Inf,26]	-0.1355788	-0.2478673	0.0080384
phosphate	Indo-Pacific	(26,26.5]	-0.5482652	-0.6609938	-0.3882209
phosphate	Indo-Pacific	(26.5,26.75]	-0.7907749	-0.8474089	-0.6987049
phosphate	Indo-Pacific	(26.75,27]	-0.8450283	-0.8793348	-0.7900553
phosphate	Indo-Pacific	(27,27.25]	-0.6619938	-0.7429504	-0.5633932
phosphate	Indo-Pacific	(27.25,27.5]	-0.4332606	-0.5753849	-0.2430493
phosphate	Indo-Pacific	(27.5,27.75]	0.1285071	-0.0647985	0.3552434
phosphate	Indo-Pacific	(27.75,27.85]	0.8017367	0.7594067	0.8471525
phosphate	Indo-Pacific	(27.85,27.95]	0.8968435	0.8794911	0.9154288
phosphate	Indo-Pacific	(27.95,28.05]	0.9400181	0.9374482	0.9445366
phosphate	Indo-Pacific	(28.05,28.1]	0.9397274	0.9340608	0.9452501
phosphate	Indo-Pacific	(28.1,28.2]	0.8775529	0.8639925	0.8889080
phosphate	Indo-Pacific	(28.2,28.3]	0.6585094	0.6523560	0.6631228
phosphate	Indo-Pacific	(28.3, Inf]	0.7041817	0.6808980	0.7312345
phosphate	SO	(-Inf,26]	NA	NA	NA
phosphate	SO	(26,26.5]	0.0226639	-0.1991302	0.2594533
phosphate	SO	(26.5,26.75]	-0.6113806	-0.7381300	-0.4761858
phosphate	SO	(26.75,27]	-0.8180240	-0.8559837	-0.7517210
phosphate	SO	(27,27.25]	-0.8792529	-0.9032423	-0.8411915
phosphate	SO	(27.25,27.5]	-0.7684318	-0.8746341	-0.6063863
phosphate	SO	(27.5,27.75]	-0.7816079	-0.9179036	-0.5687248
phosphate	SO	(27.75,27.85]	-0.6484118	-0.8825378	-0.2467348
phosphate	SO	(27.85,27.95]	-0.5612679	-0.8008585	-0.1782570
phosphate	SO	(27.95,28.05]	-0.5519211	-0.7509436	-0.2236921
phosphate	SO	(28.05,28.1]	-0.6192531	-0.7568471	-0.4340915
phosphate	SO	(28.1,28.15]	-0.8085397	-0.8442798	-0.7833743
phosphate	SO	(28.1,28.2]	-0.5790592	-0.6998055	-0.3736953
phosphate	SO	(28.15,28.2]	-0.8842015	-0.8934296	-0.8671138
phosphate	SO	(28.2, Inf]	-0.8452891	-0.8603936	-0.8276743
phosphate	SO	(28.2,28.3]	-0.4226738	-0.5605588	-0.1894140
phosphate	SO	(28.3, Inf]	-0.2134332	-0.2856868	-0.1539938
phosphate_star	Atlantic	(-Inf,26]	0.0433642	0.0055653	0.0633094
phosphate_star	Atlantic	(26,26.5]	0.1591527	0.1274304	0.2051817
phosphate_star	Atlantic	(26.5,26.75]	-0.3616493	-0.4331479	-0.3143079
phosphate_star	Atlantic	(26.75,27]	-0.4681082	-0.4820311	-0.4568216
phosphate_star	Atlantic	(27,27.25]	-0.6487261	-0.6901078	-0.6236294
phosphate_star	Atlantic	(27.25,27.5]	-0.6660845	-0.7378958	-0.5827516
phosphate_star	Atlantic	(27.5,27.75]	-0.6997843	-0.7054611	-0.6926215
phosphate_star	Atlantic	(27.75,27.85]	-0.9060531	-0.9262676	-0.8931384
phosphate_star	Atlantic	(27.85,27.95]	-0.8997021	-0.9146809	-0.8867381
phosphate_star	Atlantic	(27.95,28.05]	-0.8268904	-0.8421071	-0.8102766
phosphate_star	Atlantic	(28.05,28.1]	-0.9824333	-0.9843820	-0.9785748
phosphate_star	Atlantic	(28.1,28.15]	-0.9850495	-0.9861001	-0.9830003
phosphate_star	Atlantic	(28.15,28.2]	-0.9812395	-0.9844225	-0.9792751
phosphate_star	Atlantic	(28.2, Inf]	-0.9896838	-0.9917857	-0.9867642
phosphate_star	Indo-Pacific	(-Inf,26]	0.0386201	-0.0653236	0.1502565
phosphate_star	Indo-Pacific	(26,26.5]	-0.5552370	-0.6108080	-0.4841004
phosphate_star	Indo-Pacific	(26.5,26.75]	-0.6615476	-0.6750355	-0.6465222
phosphate_star	Indo-Pacific	(26.75,27]	-0.5609006	-0.5795155	-0.5260739
phosphate_star	Indo-Pacific	(27,27.25]	-0.4236875	-0.4793328	-0.3831664
phosphate_star	Indo-Pacific	(27.25,27.5]	-0.5142355	-0.5790801	-0.4246298
phosphate_star	Indo-Pacific	(27.5,27.75]	-0.3128135	-0.4060859	-0.1850616
phosphate_star	Indo-Pacific	(27.75,27.85]	0.2491950	0.2307437	0.2602463
phosphate_star	Indo-Pacific	(27.85,27.95]	0.4146512	0.3976197	0.4257648
phosphate_star	Indo-Pacific	(27.95,28.05]	0.5429687	0.5281586	0.5630833
phosphate_star	Indo-Pacific	(28.05,28.1]	0.6842490	0.6705368	0.6982658
phosphate_star	Indo-Pacific	(28.1,28.2]	0.7140083	0.6950885	0.7307881
phosphate_star	Indo-Pacific	(28.2,28.3]	0.5791680	0.5443653	0.6014799
phosphate_star	Indo-Pacific	(28.3, Inf]	-0.7033247	-0.7636937	-0.6488352
phosphate_star	SO	(-Inf,26]	NA	NA	NA
phosphate_star	SO	(26,26.5]	-0.4317411	-0.4724012	-0.3965118
phosphate_star	SO	(26.5,26.75]	-0.7244524	-0.7833613	-0.6903879
phosphate_star	SO	(26.75,27]	-0.8222407	-0.8461056	-0.7893212
phosphate_star	SO	(27,27.25]	-0.8566356	-0.8861299	-0.8247276
phosphate_star	SO	(27.25,27.5]	-0.6912971	-0.8192449	-0.5942092
phosphate_star	SO	(27.5,27.75]	-0.3652116	-0.6655785	-0.1731376
phosphate_star	SO	(27.75,27.85]	0.3040734	-0.2419408	0.6682141
phosphate_star	SO	(27.85,27.95]	0.3800123	-0.1736939	0.7205973
phosphate_star	SO	(27.95,28.05]	0.1378269	-0.2841250	0.4982538
phosphate_star	SO	(28.05,28.1]	0.0010870	-0.3293717	0.2632122
phosphate_star	SO	(28.1,28.15]	-0.5400518	-0.6873312	-0.3550778
phosphate_star	SO	(28.1,28.2]	0.3529590	-0.1456324	0.6975479
phosphate_star	SO	(28.15,28.2]	-0.6562819	-0.7802138	-0.4839592
phosphate_star	SO	(28.2, Inf]	-0.9102312	-0.9552897	-0.8573891
phosphate_star	SO	(28.2,28.3]	0.1194316	-0.4602956	0.5179069
phosphate_star	SO	(28.3, Inf]	-0.7171930	-0.8137817	-0.6416814
sal	Atlantic	(-Inf,26]	0.5795914	0.4728849	0.6564090
sal	Atlantic	(26,26.5]	-0.1447748	-0.1751268	-0.1202938
sal	Atlantic	(26.5,26.75]	-0.0395653	-0.1069107	0.0742908
sal	Atlantic	(26.75,27]	-0.0563734	-0.1220598	0.0364466
sal	Atlantic	(27,27.25]	-0.0366091	-0.1055946	0.0807116
sal	Atlantic	(27.25,27.5]	-0.1137110	-0.2975214	0.0751331
sal	Atlantic	(27.5,27.75]	-0.5218526	-0.5679851	-0.4488811
sal	Atlantic	(27.75,27.85]	0.1353175	-0.0074000	0.2739246
sal	Atlantic	(27.85,27.95]	0.2316662	0.0953214	0.3091330
sal	Atlantic	(27.95,28.05]	0.2007531	0.0821180	0.2755124
sal	Atlantic	(28.05,28.1]	0.7637809	0.7142000	0.8328872
sal	Atlantic	(28.1,28.15]	0.8686112	0.7940953	0.9086154
sal	Atlantic	(28.15,28.2]	0.8087075	0.7741170	0.8310568
sal	Atlantic	(28.2, Inf]	0.9516833	0.9447590	0.9556173
sal	Indo-Pacific	(-Inf,26]	-0.1198937	-0.1701737	-0.0940286
sal	Indo-Pacific	(26,26.5]	0.3210364	0.2785108	0.3500424
sal	Indo-Pacific	(26.5,26.75]	0.4317274	0.4094083	0.4515562
sal	Indo-Pacific	(26.75,27]	0.3461672	0.3133521	0.3655226
sal	Indo-Pacific	(27,27.25]	0.1288855	0.0665473	0.2022971
sal	Indo-Pacific	(27.25,27.5]	0.0941294	-0.0030805	0.1689720
sal	Indo-Pacific	(27.5,27.75]	-0.0507493	-0.1066710	0.0117668
sal	Indo-Pacific	(27.75,27.85]	-0.2656354	-0.2839198	-0.2313962
sal	Indo-Pacific	(27.85,27.95]	-0.1962426	-0.2186432	-0.1727768
sal	Indo-Pacific	(27.95,28.05]	-0.0713836	-0.0907748	-0.0567910
sal	Indo-Pacific	(28.05,28.1]	-0.0719575	-0.1044426	-0.0517336
sal	Indo-Pacific	(28.1,28.2]	0.0132587	-0.0335167	0.0539500
sal	Indo-Pacific	(28.2,28.3]	-0.2838554	-0.3313340	-0.2312854
sal	Indo-Pacific	(28.3, Inf]	0.7173882	0.6833923	0.7552950
sal	SO	(-Inf,26]	NA	NA	NA
sal	SO	(26,26.5]	0.3196269	0.2423554	0.3845186
sal	SO	(26.5,26.75]	0.6307272	0.5882428	0.7046433
sal	SO	(26.75,27]	0.7116709	0.6780277	0.7476820
sal	SO	(27,27.25]	0.8215806	0.7895399	0.8441298
sal	SO	(27.25,27.5]	0.5696883	0.4902124	0.6768734
sal	SO	(27.5,27.75]	0.0475511	-0.1427391	0.3651622
sal	SO	(27.75,27.85]	-0.4178566	-0.7743508	0.1318020
sal	SO	(27.85,27.95]	-0.4603897	-0.8182140	0.1132638
sal	SO	(27.95,28.05]	-0.1637721	-0.5711211	0.3326544
sal	SO	(28.05,28.1]	0.0195154	-0.2729506	0.3614894
sal	SO	(28.1,28.15]	0.7431441	0.6215109	0.8476904
sal	SO	(28.1,28.2]	-0.3658700	-0.6998616	0.1399300
sal	SO	(28.15,28.2]	0.7995182	0.6897019	0.8654858
sal	SO	(28.2, Inf]	-0.0202823	-0.1516980	0.1163102
sal	SO	(28.2,28.3]	-0.1500919	-0.4311983	0.3069839
sal	SO	(28.3, Inf]	0.1803375	0.0089821	0.3603295
silicate	Atlantic	(-Inf,26]	-0.5461411	-0.5994005	-0.4752647
silicate	Atlantic	(26,26.5]	-0.4283756	-0.5055127	-0.3422796
silicate	Atlantic	(26.5,26.75]	-0.3729039	-0.4686073	-0.2527608
silicate	Atlantic	(26.75,27]	-0.4965684	-0.6250768	-0.3536836
silicate	Atlantic	(27,27.25]	-0.8430846	-0.8705080	-0.8113878
silicate	Atlantic	(27.25,27.5]	-0.9116986	-0.9171724	-0.9038740
silicate	Atlantic	(27.5,27.75]	-0.9084408	-0.9160533	-0.9002045
silicate	Atlantic	(27.75,27.85]	-0.9023131	-0.9235483	-0.8892539
silicate	Atlantic	(27.85,27.95]	-0.8378809	-0.8619133	-0.8227918
silicate	Atlantic	(27.95,28.05]	-0.7410167	-0.7615869	-0.7087220
silicate	Atlantic	(28.05,28.1]	-0.9264398	-0.9403636	-0.9155134
silicate	Atlantic	(28.1,28.15]	-0.9236375	-0.9315036	-0.9141066
silicate	Atlantic	(28.15,28.2]	-0.9146714	-0.9200233	-0.9102466
silicate	Atlantic	(28.2, Inf]	-0.9622513	-0.9677722	-0.9546802
silicate	Indo-Pacific	(-Inf,26]	-0.0870781	-0.1670430	0.0310265
silicate	Indo-Pacific	(26,26.5]	-0.6131149	-0.7052461	-0.4776795
silicate	Indo-Pacific	(26.5,26.75]	-0.7468443	-0.7835985	-0.6803632
silicate	Indo-Pacific	(26.75,27]	-0.6721907	-0.7086499	-0.6169562
silicate	Indo-Pacific	(27,27.25]	-0.4301586	-0.5254768	-0.3207245
silicate	Indo-Pacific	(27.25,27.5]	-0.2224652	-0.3697852	-0.0260697
silicate	Indo-Pacific	(27.5,27.75]	0.2494277	0.0724861	0.4625687
silicate	Indo-Pacific	(27.75,27.85]	0.8704769	0.8339151	0.9107804
silicate	Indo-Pacific	(27.85,27.95]	0.9281136	0.9104010	0.9478875
silicate	Indo-Pacific	(27.95,28.05]	0.9673207	0.9624024	0.9718017
silicate	Indo-Pacific	(28.05,28.1]	0.9657132	0.9609333	0.9716416
silicate	Indo-Pacific	(28.1,28.2]	0.9377081	0.9328330	0.9407358
silicate	Indo-Pacific	(28.2,28.3]	0.8570258	0.8534012	0.8604328
silicate	Indo-Pacific	(28.3, Inf]	0.7902727	0.7851250	0.7985873
silicate	SO	(-Inf,26]	NA	NA	NA
silicate	SO	(26,26.5]	0.2228425	0.0523275	0.3507374
silicate	SO	(26.5,26.75]	-0.0408002	-0.1720303	0.1277238
silicate	SO	(26.75,27]	-0.5373732	-0.5952441	-0.4501783
silicate	SO	(27,27.25]	-0.7647648	-0.8038075	-0.7170944
silicate	SO	(27.25,27.5]	-0.7373424	-0.8455060	-0.5801152
silicate	SO	(27.5,27.75]	-0.7996115	-0.9247286	-0.6027940
silicate	SO	(27.75,27.85]	-0.6847843	-0.8928121	-0.3141888
silicate	SO	(27.85,27.95]	-0.5919082	-0.8203321	-0.2220087
silicate	SO	(27.95,28.05]	-0.5239024	-0.7463100	-0.1573533
silicate	SO	(28.05,28.1]	-0.5598646	-0.7481708	-0.3207957
silicate	SO	(28.1,28.15]	-0.7469636	-0.7827523	-0.7260501
silicate	SO	(28.1,28.2]	-0.5542966	-0.7306576	-0.2615914
silicate	SO	(28.15,28.2]	-0.8170771	-0.8748952	-0.7573345
silicate	SO	(28.2, Inf]	-0.8424483	-0.8693983	-0.8028796
silicate	SO	(28.2,28.3]	-0.3833215	-0.5966296	-0.0425891
silicate	SO	(28.3, Inf]	-0.4616790	-0.5518670	-0.3699942
temp	Atlantic	(-Inf,26]	-0.0810448	-0.2914966	0.0302528
temp	Atlantic	(26,26.5]	-0.3004997	-0.3101600	-0.2842775
temp	Atlantic	(26.5,26.75]	-0.0534399	-0.1168752	0.0414545
temp	Atlantic	(26.75,27]	-0.0084228	-0.0262124	0.0195836
temp	Atlantic	(27,27.25]	-0.0165667	-0.0708078	0.0817043
temp	Atlantic	(27.25,27.5]	-0.1589976	-0.3300299	0.0212344
temp	Atlantic	(27.5,27.75]	-0.5045329	-0.5331069	-0.4499078
temp	Atlantic	(27.75,27.85]	0.1556690	0.0107956	0.3027674
temp	Atlantic	(27.85,27.95]	0.2433296	0.1142497	0.3107667
temp	Atlantic	(27.95,28.05]	0.0916524	0.0012718	0.1633021
temp	Atlantic	(28.05,28.1]	0.5758479	0.5236785	0.6454783
temp	Atlantic	(28.1,28.15]	0.6313426	0.5192766	0.6941087
temp	Atlantic	(28.15,28.2]	0.8423034	0.8130939	0.8875912
temp	Atlantic	(28.2, Inf]	0.8662049	0.7834655	0.9243624
temp	Indo-Pacific	(-Inf,26]	-0.4469331	-0.5053259	-0.3976872
temp	Indo-Pacific	(26,26.5]	0.2704062	0.2122573	0.3154156
temp	Indo-Pacific	(26.5,26.75]	0.4090515	0.3922951	0.4199728
temp	Indo-Pacific	(26.75,27]	0.2991559	0.2581622	0.3246153
temp	Indo-Pacific	(27,27.25]	0.1229767	0.0666390	0.1964596
temp	Indo-Pacific	(27.25,27.5]	0.1956576	0.0966065	0.2717608
temp	Indo-Pacific	(27.5,27.75]	0.1155200	0.0128180	0.1861528
temp	Indo-Pacific	(27.75,27.85]	-0.2446937	-0.2650317	-0.2274346
temp	Indo-Pacific	(27.85,27.95]	-0.2201031	-0.2253174	-0.2146902
temp	Indo-Pacific	(27.95,28.05]	-0.1640395	-0.1786384	-0.1426314
temp	Indo-Pacific	(28.05,28.1]	-0.1308632	-0.1492854	-0.1045956
temp	Indo-Pacific	(28.1,28.2]	-0.1763969	-0.2079840	-0.1512061
temp	Indo-Pacific	(28.2,28.3]	-0.0722731	-0.0760623	-0.0653843
temp	Indo-Pacific	(28.3, Inf]	0.7402774	0.7059430	0.7780330
temp	SO	(-Inf,26]	NA	NA	NA
temp	SO	(26,26.5]	0.2760552	0.2435119	0.3212760
temp	SO	(26.5,26.75]	0.5982148	0.5563163	0.6700970
temp	SO	(26.75,27]	0.6800132	0.6388560	0.7212916
temp	SO	(27,27.25]	0.7899898	0.7615902	0.8169099
temp	SO	(27.25,27.5]	0.7169965	0.6414620	0.8221104
temp	SO	(27.5,27.75]	0.4434108	0.2901887	0.6898836
temp	SO	(27.75,27.85]	-0.3560056	-0.6670725	0.1174581
temp	SO	(27.85,27.95]	-0.4693529	-0.7724050	0.0315201
temp	SO	(27.95,28.05]	-0.2996348	-0.6427419	0.1268767
temp	SO	(28.05,28.1]	-0.1829650	-0.4545091	0.1430282
temp	SO	(28.1,28.15]	0.5528327	0.4053742	0.6705782
temp	SO	(28.1,28.2]	-0.5263827	-0.7992181	-0.0984855
temp	SO	(28.15,28.2]	0.6723547	0.5554909	0.7324232
temp	SO	(28.2, Inf]	0.5660576	0.4713307	0.6559198
temp	SO	(28.2,28.3]	-0.2486246	-0.5683773	0.2489529
temp	SO	(28.3, Inf]	0.1835008	0.0545569	0.3274974

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