Last updated: 2021-03-26

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Knit directory: emlr_mod_v_XXX/

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Rmd	55cdfe6	Donghe-Zhu	2021-02-05	local rebuild
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html	ac99ae5	jens-daniel-mueller	2021-01-29	code review
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Rmd	d44f36f	Donghe-Zhu	2021-01-13	reorder analysis final
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Rmd	52eff18	Donghe-Zhu	2021-01-09	Implemet model_run and subsetting
html	7cdea0c	jens-daniel-mueller	2021-01-06	Build site.
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html	e5cb81a	Donghe-Zhu	2021-01-05	Build site.
html	a499f10	Donghe-Zhu	2021-01-05	Build site.
Rmd	715bdb4	Donghe-Zhu	2021-01-02	model modification
html	fb8a752	Donghe-Zhu	2020-12-23	Build site.
Rmd	82e3c9c	Donghe-Zhu	2020-12-23	first build after creating model template
html	8fae0b2	Donghe-Zhu	2020-12-21	Build site.
html	c8b76b3	jens-daniel-mueller	2020-12-19	Build site.
Rmd	b5fedce	jens-daniel-mueller	2020-12-19	first build after creating model template
Rmd	8e8abf5	Jens Müller	2020-12-18	Initial commit

1 Required data

Required are:

cleaned and prepared GLODAP-based synthetic cmorized model subsetting file

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

2 Predictor correlation

The correlation between:

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

were investigated based on:

property-property plots and
calculated correlation coefficients.

2.1 Correlation plots

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

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

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

Version	Author	Date
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
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
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f71ae34	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
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ca03c39	Donghe-Zhu	2021-02-07
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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
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b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

Version	Author	Date
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
bf19764	Donghe-Zhu	2021-03-22
3ec9d3d	Donghe-Zhu	2021-03-22
134ace1	Donghe-Zhu	2021-03-22
f6d70a4	Donghe-Zhu	2021-03-22
183443b	Donghe-Zhu	2021-03-21
2e6976b	Donghe-Zhu	2021-03-21
51a42bd	Donghe-Zhu	2021-03-16
f745381	Donghe-Zhu	2021-03-16
aecbf75	Donghe-Zhu	2021-03-14
1b2a0c2	Donghe-Zhu	2021-03-14
6733e48	Donghe-Zhu	2021-03-12
ba71e6a	Donghe-Zhu	2021-03-12
9dbf5bd	Donghe-Zhu	2021-03-11
a49df30	Donghe-Zhu	2021-03-11
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
9d5a62c	Donghe-Zhu	2021-03-10
5d1e70b	Donghe-Zhu	2021-03-10
2093979	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
17f1c4a	Donghe-Zhu	2021-03-09
02f7242	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
058e0a1	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
13666ca	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

Individual correlation plots for each basin, era and neutral density (gamma) slab are available at:

/nfs/kryo/work/jenmueller/emlr_cant/model/v_XXX/figures/Observations_correlation/

if (params_local$plot_all_figures == "y") {
  
  for (i_basin in unique(GLODAP$basin)) {
    for (i_era in unique(GLODAP$era)) {
      #i_basin <- unique(GLODAP$basin)[1]
      #i_era   <- unique(GLODAP$era)[1]
      
      GLODAP_basin_era <- GLODAP %>%
        filter(basin == i_basin,
               era == i_era)
      
      for (i_gamma_slab in unique(GLODAP_basin_era$gamma_slab)) {
        #i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[14]
        
        GLODAP_basin_era_slab <- GLODAP_basin_era %>%
          filter(gamma_slab == i_gamma_slab)
        
        if (nrow(GLODAP_basin_era_slab) > 2) {
          GLODAP_highlight <- GLODAP_basin_era %>%
            mutate(gamma_highlight = if_else(gamma_slab == i_gamma_slab,
                                             "in", "out")) %>%
            arrange(desc(gamma_highlight))
          
          p <- GLODAP_highlight %>%
            ggpairs(
              columns = c(
                params_local$MLR_target,
                params_local$MLR_predictors
              ),
              ggplot2::aes(
                col = gamma_highlight,
                fill = gamma_highlight,
                alpha = 0.01
              )
            ) +
            scale_fill_manual(values = c("red", "grey")) +
            scale_color_manual(values = c("red", "grey")) +
            labs(
              title = paste(
                i_era,
                "|",
                i_basin,
                "| Gamma slab",
                i_gamma_slab,
                "| # obs total",
                nrow(GLODAP_basin_era),
                "| # obs slab",
                nrow(GLODAP_highlight %>%
                       filter(gamma_highlight == "in"))
              )
            )
          
          png(
            filename = paste(
              path_version_figures,
              "Observations_correlation/",
              paste(
                "Predictor_correlation",
                i_era,
                i_basin,
                i_gamma_slab,
                ".png",
                sep = "_"
              ),
              sep = ""
            ),
            width = 12,
            height = 12,
            units = "in",
            res = 300
          )
          
          print(p)
          
          dev.off()
          
        }
      }
    }
  }
  rm(GLODAP_basin_era, GLODAP_basin_era_slab)
}

2.2 Correlation assessment

2.2.1 Calculation of correlation coeffcients

Correlation coefficients were calculated individually within each slabs, era and basin.

for (i_basin in unique(GLODAP$basin)) {
  for (i_era in unique(GLODAP$era)) {
    # i_basin <- unique(GLODAP$basin)[1]
    # i_era   <- unique(GLODAP$era)[1]
    
    GLODAP_basin_era <- GLODAP %>%
      filter(basin == i_basin,
             era == i_era) %>%
      select(basin,
             era,
             gamma_slab,
             params_local$MLR_target,
             params_local$MLR_predictors)
    
    for (i_gamma_slab in unique(GLODAP_basin_era$gamma_slab)) {
      # i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[5]
      print(i_gamma_slab)
      
      GLODAP_basin_era_slab <- GLODAP_basin_era %>%
        filter(gamma_slab == i_gamma_slab)
      
      # calculate correlation table
      cor_target_predictor_temp <- GLODAP_basin_era_slab %>%
        select(-c(basin, era, gamma_slab)) %>%
        correlate() %>%
        focus(params_local$MLR_target) %>%
        mutate(basin = i_basin,
               era = i_era,
               gamma_slab = i_gamma_slab)
      
      if (exists("cor_target_predictor")) {
        cor_target_predictor <-
          bind_rows(cor_target_predictor, cor_target_predictor_temp)
      }
      
      if (!exists("cor_target_predictor")) {
        cor_target_predictor <- cor_target_predictor_temp
      }
      
      
      cor_predictors_temp <- GLODAP_basin_era_slab %>%
        select(-c(basin, era, gamma_slab)) %>%
        correlate() %>%
        shave %>%
        stretch() %>%
        filter(!is.na(r),
               x != params_local$MLR_target,
               y != params_local$MLR_target) %>%
        mutate(pair = paste(x, y, sep = " + ")) %>%
        select(-c(x, y)) %>%
        mutate(basin = i_basin,
               era = i_era,
               gamma_slab = i_gamma_slab)
      
      if (exists("cor_predictors")) {
        cor_predictors <- bind_rows(cor_predictors, cor_predictors_temp)
      }
      
      if (!exists("cor_predictors")) {
        cor_predictors <- cor_predictors_temp
      }
      
      
      
    }
  }
}

rm(cor_predictors_temp, cor_target_predictor_temp,
   i_gamma_slab, i_era, i_basin,
   GLODAP_basin_era, GLODAP_basin_era_slab)

2.2.2 Predictor pairs

Below, the range of correlations coefficients for each predictor pair is plotted per basin (facet) and density slab (color). Note that the range indicates the min and max values of in total 3 calculated coefficients (one per era).

# calculate min, max, mean across all eras
cor_predictors_stats <- cor_predictors %>% 
  group_by(pair, basin, gamma_slab) %>% 
  summarise(mean_r = mean(r),
            min_r = min(r),
            max_r = max(r)) %>% 
  ungroup()

# plot figure
cor_predictors_stats %>% 
  mutate(pair = reorder(pair, mean_r)) %>%
  ggplot() +
  geom_vline(xintercept = c(-0.9, 0.9), col = "red") +
  geom_vline(xintercept = 0) +
  geom_linerange(
    aes(y = pair, xmin = min_r, xmax = max_r, col = gamma_slab),
    position = position_dodge(width = 0.6)) +
  facet_wrap(~basin) +
  scale_color_viridis_d(direction = -1) +
  labs(x = "correlation coefficient", y = "") +
  theme(legend.position = "top")

Version	Author	Date
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]	0.8539996	0.8337449	0.8721740
aou + nitrate	Atlantic	(26,26.5]	0.9219152	0.9163060	0.9260555
aou + nitrate	Atlantic	(26.5,26.75]	0.9750054	0.9735736	0.9764151
aou + nitrate	Atlantic	(26.75,27]	0.9829954	0.9805709	0.9849864
aou + nitrate	Atlantic	(27,27.25]	0.9630191	0.9596579	0.9659782
aou + nitrate	Atlantic	(27.25,27.5]	0.8470213	0.8377983	0.8544825
aou + nitrate	Atlantic	(27.5,27.75]	0.6022753	0.5833137	0.6189707
aou + nitrate	Atlantic	(27.75,27.85]	0.4000283	0.3758873	0.4324710
aou + nitrate	Atlantic	(27.85,27.95]	0.5795205	0.5267075	0.6714969
aou + nitrate	Atlantic	(27.95,28.05]	0.3726452	0.3298328	0.4221763
aou + nitrate	Atlantic	(28.05,28.1]	0.6121429	0.5709694	0.6609940
aou + nitrate	Atlantic	(28.1,28.15]	0.8861455	0.8585279	0.9096156
aou + nitrate	Atlantic	(28.15,28.2]	0.9365923	0.9274880	0.9427450
aou + nitrate	Atlantic	(28.2, Inf]	0.9221890	0.9195968	0.9253084
aou + nitrate	Indo-Pacific	(-Inf,26]	0.9338420	0.9319173	0.9364410
aou + nitrate	Indo-Pacific	(26,26.5]	0.8498465	0.8454755	0.8548378
aou + nitrate	Indo-Pacific	(26.5,26.75]	0.7785180	0.7751969	0.7834042
aou + nitrate	Indo-Pacific	(26.75,27]	0.8414666	0.8331695	0.8562191
aou + nitrate	Indo-Pacific	(27,27.25]	0.9240958	0.9196208	0.9286780
aou + nitrate	Indo-Pacific	(27.25,27.5]	0.9495064	0.9472474	0.9511063
aou + nitrate	Indo-Pacific	(27.5,27.75]	0.9721841	0.9711244	0.9729792
aou + nitrate	Indo-Pacific	(27.75,27.85]	0.9909520	0.9900537	0.9916770
aou + nitrate	Indo-Pacific	(27.85,27.95]	0.9898636	0.9888538	0.9910977
aou + nitrate	Indo-Pacific	(27.95,28.05]	0.9892431	0.9887682	0.9897236
aou + nitrate	Indo-Pacific	(28.05,28.1]	0.9895004	0.9893748	0.9897376
aou + nitrate	Indo-Pacific	(28.1, Inf]	0.9907949	0.9903537	0.9910400
aou + phosphate	Atlantic	(-Inf,26]	0.9275177	0.9208787	0.9364758
aou + phosphate	Atlantic	(26,26.5]	0.8975622	0.8923019	0.9012484
aou + phosphate	Atlantic	(26.5,26.75]	0.9521915	0.9483738	0.9543411
aou + phosphate	Atlantic	(26.75,27]	0.9642582	0.9605810	0.9662870
aou + phosphate	Atlantic	(27,27.25]	0.9233225	0.9211369	0.9259521
aou + phosphate	Atlantic	(27.25,27.5]	0.7838030	0.7728788	0.7925527
aou + phosphate	Atlantic	(27.5,27.75]	0.5309532	0.5094180	0.5497214
aou + phosphate	Atlantic	(27.75,27.85]	0.3297158	0.3031706	0.3646367
aou + phosphate	Atlantic	(27.85,27.95]	0.5451519	0.4886340	0.6418639
aou + phosphate	Atlantic	(27.95,28.05]	0.3541773	0.3098426	0.4041694
aou + phosphate	Atlantic	(28.05,28.1]	0.6063021	0.5659595	0.6552057
aou + phosphate	Atlantic	(28.1,28.15]	0.8859282	0.8581683	0.9093648
aou + phosphate	Atlantic	(28.15,28.2]	0.9429991	0.9342831	0.9495258
aou + phosphate	Atlantic	(28.2, Inf]	0.9274937	0.9262941	0.9282332
aou + phosphate	Indo-Pacific	(-Inf,26]	0.9675032	0.9661941	0.9689138
aou + phosphate	Indo-Pacific	(26,26.5]	0.9601275	0.9587663	0.9615415
aou + phosphate	Indo-Pacific	(26.5,26.75]	0.9734610	0.9731984	0.9738210
aou + phosphate	Indo-Pacific	(26.75,27]	0.9754896	0.9747171	0.9765779
aou + phosphate	Indo-Pacific	(27,27.25]	0.9853911	0.9850195	0.9855795
aou + phosphate	Indo-Pacific	(27.25,27.5]	0.9862247	0.9855648	0.9866854
aou + phosphate	Indo-Pacific	(27.5,27.75]	0.9889465	0.9888853	0.9890555
aou + phosphate	Indo-Pacific	(27.75,27.85]	0.9945372	0.9943528	0.9947320
aou + phosphate	Indo-Pacific	(27.85,27.95]	0.9950599	0.9947632	0.9955307
aou + phosphate	Indo-Pacific	(27.95,28.05]	0.9909839	0.9906928	0.9914801
aou + phosphate	Indo-Pacific	(28.05,28.1]	0.9926191	0.9923357	0.9928446
aou + phosphate	Indo-Pacific	(28.1, Inf]	0.9915266	0.9907817	0.9920333
aou + phosphate_star	Atlantic	(-Inf,26]	0.2343014	0.1773169	0.2914419
aou + phosphate_star	Atlantic	(26,26.5]	0.4014983	0.3869422	0.4106725
aou + phosphate_star	Atlantic	(26.5,26.75]	0.1744297	0.1705344	0.1767591
aou + phosphate_star	Atlantic	(26.75,27]	-0.1165694	-0.1324455	-0.0937991
aou + phosphate_star	Atlantic	(27,27.25]	-0.0393635	-0.0573705	-0.0166542
aou + phosphate_star	Atlantic	(27.25,27.5]	-0.1431666	-0.1652679	-0.1318557
aou + phosphate_star	Atlantic	(27.5,27.75]	-0.3190763	-0.3456087	-0.3014228
aou + phosphate_star	Atlantic	(27.75,27.85]	-0.3377089	-0.3931007	-0.2792479
aou + phosphate_star	Atlantic	(27.85,27.95]	0.1835669	0.0905650	0.3284824
aou + phosphate_star	Atlantic	(27.95,28.05]	-0.0362034	-0.0879969	0.0195755
aou + phosphate_star	Atlantic	(28.05,28.1]	0.3209687	0.2630120	0.3881855
aou + phosphate_star	Atlantic	(28.1,28.15]	0.7515569	0.7005310	0.7936524
aou + phosphate_star	Atlantic	(28.15,28.2]	0.8494418	0.8332297	0.8613788
aou + phosphate_star	Atlantic	(28.2, Inf]	0.8206304	0.8158551	0.8257788
aou + phosphate_star	Indo-Pacific	(-Inf,26]	0.5932519	0.5742852	0.6112392
aou + phosphate_star	Indo-Pacific	(26,26.5]	0.4246656	0.4191969	0.4296565
aou + phosphate_star	Indo-Pacific	(26.5,26.75]	0.4849822	0.4804049	0.4937869
aou + phosphate_star	Indo-Pacific	(26.75,27]	0.6183414	0.6031291	0.6425682
aou + phosphate_star	Indo-Pacific	(27,27.25]	0.6935425	0.6806725	0.7059659
aou + phosphate_star	Indo-Pacific	(27.25,27.5]	0.3402554	0.2833872	0.3939682
aou + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.2965598	-0.3470591	-0.2609715
aou + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.5773267	-0.5828573	-0.5668090
aou + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.3700240	-0.3900127	-0.3522534
aou + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.3767467	-0.3952475	-0.3512158
aou + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.2625899	-0.3169807	-0.2098694
aou + phosphate_star	Indo-Pacific	(28.1, Inf]	0.1526034	0.1354604	0.1681204
aou + silicate	Atlantic	(-Inf,26]	0.1166259	0.0475477	0.2038802
aou + silicate	Atlantic	(26,26.5]	0.2809930	0.2305885	0.3099438
aou + silicate	Atlantic	(26.5,26.75]	0.6211257	0.5923042	0.6422019
aou + silicate	Atlantic	(26.75,27]	0.8014521	0.7940141	0.8107774
aou + silicate	Atlantic	(27,27.25]	0.7402228	0.7358695	0.7456733
aou + silicate	Atlantic	(27.25,27.5]	0.5303981	0.5259119	0.5354855
aou + silicate	Atlantic	(27.5,27.75]	0.2193113	0.2061384	0.2298616
aou + silicate	Atlantic	(27.75,27.85]	-0.0540491	-0.0746598	-0.0257134
aou + silicate	Atlantic	(27.85,27.95]	0.2884105	0.2124736	0.4057111
aou + silicate	Atlantic	(27.95,28.05]	0.3016595	0.2532119	0.3502460
aou + silicate	Atlantic	(28.05,28.1]	0.6338185	0.6057920	0.6734265
aou + silicate	Atlantic	(28.1,28.15]	0.9148682	0.8936382	0.9313956
aou + silicate	Atlantic	(28.15,28.2]	0.9451117	0.9409549	0.9476109
aou + silicate	Atlantic	(28.2, Inf]	0.7317862	0.7167609	0.7504772
aou + silicate	Indo-Pacific	(-Inf,26]	0.8367981	0.8319698	0.8401885
aou + silicate	Indo-Pacific	(26,26.5]	0.7713874	0.7693904	0.7723980
aou + silicate	Indo-Pacific	(26.5,26.75]	0.7844131	0.7794818	0.7892034
aou + silicate	Indo-Pacific	(26.75,27]	0.8751538	0.8711259	0.8796911
aou + silicate	Indo-Pacific	(27,27.25]	0.9404590	0.9389672	0.9414032
aou + silicate	Indo-Pacific	(27.25,27.5]	0.9544523	0.9534444	0.9557590
aou + silicate	Indo-Pacific	(27.5,27.75]	0.9652525	0.9647776	0.9656431
aou + silicate	Indo-Pacific	(27.75,27.85]	0.9829598	0.9824985	0.9835509
aou + silicate	Indo-Pacific	(27.85,27.95]	0.9822141	0.9815895	0.9826522
aou + silicate	Indo-Pacific	(27.95,28.05]	0.9875473	0.9868837	0.9879067
aou + silicate	Indo-Pacific	(28.05,28.1]	0.9908856	0.9904809	0.9912524
aou + silicate	Indo-Pacific	(28.1, Inf]	0.8242875	0.8222584	0.8267403
nitrate + phosphate	Atlantic	(-Inf,26]	0.6859495	0.6459149	0.7362682
nitrate + phosphate	Atlantic	(26,26.5]	0.8349062	0.8268436	0.8506486
nitrate + phosphate	Atlantic	(26.5,26.75]	0.9681061	0.9661897	0.9696718
nitrate + phosphate	Atlantic	(26.75,27]	0.9799298	0.9789120	0.9809894
nitrate + phosphate	Atlantic	(27,27.25]	0.9866466	0.9863415	0.9870864
nitrate + phosphate	Atlantic	(27.25,27.5]	0.9917502	0.9916603	0.9918717
nitrate + phosphate	Atlantic	(27.5,27.75]	0.9944337	0.9941708	0.9945725
nitrate + phosphate	Atlantic	(27.75,27.85]	0.9965342	0.9964012	0.9966409
nitrate + phosphate	Atlantic	(27.85,27.95]	0.9986687	0.9985373	0.9987923
nitrate + phosphate	Atlantic	(27.95,28.05]	0.9993706	0.9992755	0.9994368
nitrate + phosphate	Atlantic	(28.05,28.1]	0.9997900	0.9997700	0.9998081
nitrate + phosphate	Atlantic	(28.1,28.15]	0.9998169	0.9998118	0.9998243
nitrate + phosphate	Atlantic	(28.15,28.2]	0.9977357	0.9975518	0.9978937
nitrate + phosphate	Atlantic	(28.2, Inf]	0.9897612	0.9892552	0.9900416
nitrate + phosphate	Indo-Pacific	(-Inf,26]	0.9548403	0.9519468	0.9587212
nitrate + phosphate	Indo-Pacific	(26,26.5]	0.8637657	0.8569199	0.8699755
nitrate + phosphate	Indo-Pacific	(26.5,26.75]	0.7957396	0.7925463	0.8021025
nitrate + phosphate	Indo-Pacific	(26.75,27]	0.8625923	0.8538498	0.8796121
nitrate + phosphate	Indo-Pacific	(27,27.25]	0.9344338	0.9299662	0.9390265
nitrate + phosphate	Indo-Pacific	(27.25,27.5]	0.9543761	0.9522953	0.9558404
nitrate + phosphate	Indo-Pacific	(27.5,27.75]	0.9786837	0.9774582	0.9801991
nitrate + phosphate	Indo-Pacific	(27.75,27.85]	0.9946020	0.9942185	0.9948427
nitrate + phosphate	Indo-Pacific	(27.85,27.95]	0.9966527	0.9961935	0.9971692
nitrate + phosphate	Indo-Pacific	(27.95,28.05]	0.9987675	0.9986832	0.9988742
nitrate + phosphate	Indo-Pacific	(28.05,28.1]	0.9981186	0.9979339	0.9982967
nitrate + phosphate	Indo-Pacific	(28.1, Inf]	0.9951063	0.9949502	0.9952195
nitrate + phosphate_star	Atlantic	(-Inf,26]	0.1315064	0.0377457	0.1878968
nitrate + phosphate_star	Atlantic	(26,26.5]	0.4048312	0.3654127	0.4485492
nitrate + phosphate_star	Atlantic	(26.5,26.75]	0.2901218	0.2875565	0.2940596
nitrate + phosphate_star	Atlantic	(26.75,27]	0.0005581	-0.0130219	0.0162897
nitrate + phosphate_star	Atlantic	(27,27.25]	0.2083193	0.1810863	0.2389114
nitrate + phosphate_star	Atlantic	(27.25,27.5]	0.3941573	0.3907062	0.4005304
nitrate + phosphate_star	Atlantic	(27.5,27.75]	0.5478217	0.5434254	0.5538292
nitrate + phosphate_star	Atlantic	(27.75,27.85]	0.7241629	0.7015396	0.7422893
nitrate + phosphate_star	Atlantic	(27.85,27.95]	0.9045844	0.8921246	0.9185495
nitrate + phosphate_star	Atlantic	(27.95,28.05]	0.9115592	0.9089631	0.9130733
nitrate + phosphate_star	Atlantic	(28.05,28.1]	0.9439636	0.9410869	0.9468017
nitrate + phosphate_star	Atlantic	(28.1,28.15]	0.9706387	0.9663840	0.9737060
nitrate + phosphate_star	Atlantic	(28.15,28.2]	0.9779381	0.9770841	0.9786873
nitrate + phosphate_star	Atlantic	(28.2, Inf]	0.9693525	0.9683255	0.9702146
nitrate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7313137	0.7222308	0.7424242
nitrate + phosphate_star	Indo-Pacific	(26,26.5]	0.5551957	0.5440921	0.5623941
nitrate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.5715395	0.5598295	0.5779508
nitrate + phosphate_star	Indo-Pacific	(26.75,27]	0.7035581	0.6842760	0.7326384
nitrate + phosphate_star	Indo-Pacific	(27,27.25]	0.7729837	0.7615904	0.7832824
nitrate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.4517879	0.4015931	0.4947797
nitrate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.1638691	-0.2176310	-0.1251818
nitrate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.5034122	-0.5078548	-0.4964583
nitrate + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.2621093	-0.2804584	-0.2484827
nitrate + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.2440680	-0.2629360	-0.2140440
nitrate + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.1285518	-0.1828088	-0.0742665
nitrate + phosphate_star	Indo-Pacific	(28.1, Inf]	0.2610561	0.2423200	0.2752412
nitrate + silicate	Atlantic	(-Inf,26]	0.5955623	0.5397606	0.6350915
nitrate + silicate	Atlantic	(26,26.5]	0.5646288	0.5365965	0.5881954
nitrate + silicate	Atlantic	(26.5,26.75]	0.7021674	0.6787024	0.7214472
nitrate + silicate	Atlantic	(26.75,27]	0.8572737	0.8524478	0.8631620
nitrate + silicate	Atlantic	(27,27.25]	0.8718003	0.8705428	0.8737429
nitrate + silicate	Atlantic	(27.25,27.5]	0.8559344	0.8539525	0.8592122
nitrate + silicate	Atlantic	(27.5,27.75]	0.8605330	0.8576496	0.8626956
nitrate + silicate	Atlantic	(27.75,27.85]	0.8381888	0.8359767	0.8395080
nitrate + silicate	Atlantic	(27.85,27.95]	0.9145322	0.9069745	0.9224982
nitrate + silicate	Atlantic	(27.95,28.05]	0.9674991	0.9643386	0.9690809
nitrate + silicate	Atlantic	(28.05,28.1]	0.9835332	0.9819848	0.9844230
nitrate + silicate	Atlantic	(28.1,28.15]	0.9859806	0.9853328	0.9870205
nitrate + silicate	Atlantic	(28.15,28.2]	0.9148360	0.9122445	0.9192187
nitrate + silicate	Atlantic	(28.2, Inf]	0.7044617	0.6953985	0.7128603
nitrate + silicate	Indo-Pacific	(-Inf,26]	0.8582979	0.8557252	0.8598416
nitrate + silicate	Indo-Pacific	(26,26.5]	0.7837137	0.7711298	0.7959583
nitrate + silicate	Indo-Pacific	(26.5,26.75]	0.8216718	0.8193835	0.8255393
nitrate + silicate	Indo-Pacific	(26.75,27]	0.8742725	0.8684167	0.8853916
nitrate + silicate	Indo-Pacific	(27,27.25]	0.9378975	0.9343655	0.9410904
nitrate + silicate	Indo-Pacific	(27.25,27.5]	0.9599365	0.9591099	0.9609334
nitrate + silicate	Indo-Pacific	(27.5,27.75]	0.9791776	0.9789367	0.9795859
nitrate + silicate	Indo-Pacific	(27.75,27.85]	0.9897250	0.9892626	0.9899674
nitrate + silicate	Indo-Pacific	(27.85,27.95]	0.9892449	0.9888415	0.9896358
nitrate + silicate	Indo-Pacific	(27.95,28.05]	0.9915514	0.9910711	0.9921902
nitrate + silicate	Indo-Pacific	(28.05,28.1]	0.9900710	0.9897189	0.9902963
nitrate + silicate	Indo-Pacific	(28.1, Inf]	0.8348689	0.8318703	0.8364787
phosphate + phosphate_star	Atlantic	(-Inf,26]	0.5252052	0.4804012	0.5835295
phosphate + phosphate_star	Atlantic	(26,26.5]	0.7522836	0.7389296	0.7673299
phosphate + phosphate_star	Atlantic	(26.5,26.75]	0.4622369	0.4529156	0.4747860
phosphate + phosphate_star	Atlantic	(26.75,27]	0.1454216	0.1326814	0.1593913
phosphate + phosphate_star	Atlantic	(27,27.25]	0.3425959	0.3192607	0.3686057
phosphate + phosphate_star	Atlantic	(27.25,27.5]	0.4975827	0.4942277	0.5038074
phosphate + phosphate_star	Atlantic	(27.5,27.75]	0.6245263	0.6219571	0.6295549
phosphate + phosphate_star	Atlantic	(27.75,27.85]	0.7749788	0.7553272	0.7906373
phosphate + phosphate_star	Atlantic	(27.85,27.95]	0.9221559	0.9119139	0.9339702
phosphate + phosphate_star	Atlantic	(27.95,28.05]	0.9203069	0.9185377	0.9211956
phosphate + phosphate_star	Atlantic	(28.05,28.1]	0.9467716	0.9434571	0.9497091
phosphate + phosphate_star	Atlantic	(28.1,28.15]	0.9710887	0.9668975	0.9742451
phosphate + phosphate_star	Atlantic	(28.15,28.2]	0.9759542	0.9747531	0.9766249
phosphate + phosphate_star	Atlantic	(28.2, Inf]	0.9718810	0.9709702	0.9731182
phosphate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7623812	0.7502787	0.7735069
phosphate + phosphate_star	Indo-Pacific	(26,26.5]	0.6555058	0.6543728	0.6561606
phosphate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.6654202	0.6618561	0.6707528
phosphate + phosphate_star	Indo-Pacific	(26.75,27]	0.7637209	0.7521981	0.7796796
phosphate + phosphate_star	Indo-Pacific	(27,27.25]	0.8011132	0.7921312	0.8102411
phosphate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.4877015	0.4376881	0.5355175
phosphate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.1542858	-0.2061579	-0.1171994
phosphate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.4917581	-0.4978488	-0.4817676
phosphate + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.2796479	-0.2970816	-0.2657056
phosphate + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.2527690	-0.2704159	-0.2240643
phosphate + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.1470436	-0.2005550	-0.0936779
phosphate + phosphate_star	Indo-Pacific	(28.1, Inf]	0.2747508	0.2541623	0.2880727
sal + aou	Atlantic	(-Inf,26]	-0.4023770	-0.4764244	-0.3519192
sal + aou	Atlantic	(26,26.5]	-0.3724843	-0.3928244	-0.3618407
sal + aou	Atlantic	(26.5,26.75]	0.2596958	0.2413590	0.2770323
sal + aou	Atlantic	(26.75,27]	0.4572106	0.4369862	0.4724062
sal + aou	Atlantic	(27,27.25]	0.3663224	0.3382596	0.3964080
sal + aou	Atlantic	(27.25,27.5]	0.3861628	0.3825692	0.3907518
sal + aou	Atlantic	(27.5,27.75]	0.6709651	0.6618790	0.6855430
sal + aou	Atlantic	(27.75,27.85]	0.6561219	0.5960155	0.6950700
sal + aou	Atlantic	(27.85,27.95]	0.1961485	0.0755069	0.3000725
sal + aou	Atlantic	(27.95,28.05]	0.0454901	-0.0135670	0.0948029
sal + aou	Atlantic	(28.05,28.1]	-0.3189975	-0.3799902	-0.2698606
sal + aou	Atlantic	(28.1,28.15]	-0.7426370	-0.7823808	-0.6940863
sal + aou	Atlantic	(28.15,28.2]	-0.8032404	-0.8171511	-0.7872309
sal + aou	Atlantic	(28.2, Inf]	-0.6747256	-0.6821564	-0.6669929
sal + aou	Indo-Pacific	(-Inf,26]	-0.2339492	-0.2509786	-0.2196460
sal + aou	Indo-Pacific	(26,26.5]	-0.1590581	-0.1652459	-0.1558981
sal + aou	Indo-Pacific	(26.5,26.75]	-0.1961591	-0.2019904	-0.1887900
sal + aou	Indo-Pacific	(26.75,27]	-0.4121978	-0.4288881	-0.3967160
sal + aou	Indo-Pacific	(27,27.25]	-0.5958924	-0.6069560	-0.5840517
sal + aou	Indo-Pacific	(27.25,27.5]	-0.2650966	-0.3220948	-0.2134858
sal + aou	Indo-Pacific	(27.5,27.75]	0.4961865	0.4625722	0.5442114
sal + aou	Indo-Pacific	(27.75,27.85]	0.7638056	0.7575338	0.7706096
sal + aou	Indo-Pacific	(27.85,27.95]	0.7607208	0.7523373	0.7653473
sal + aou	Indo-Pacific	(27.95,28.05]	0.8400754	0.8298925	0.8481163
sal + aou	Indo-Pacific	(28.05,28.1]	0.8459645	0.8326430	0.8572607
sal + aou	Indo-Pacific	(28.1, Inf]	0.3265640	0.3122432	0.3353889
sal + nitrate	Atlantic	(-Inf,26]	-0.6752384	-0.7100478	-0.6428508
sal + nitrate	Atlantic	(26,26.5]	-0.4116203	-0.4350754	-0.3804370
sal + nitrate	Atlantic	(26.5,26.75]	0.1876446	0.1742716	0.2037123
sal + nitrate	Atlantic	(26.75,27]	0.3961182	0.3823121	0.4096479
sal + nitrate	Atlantic	(27,27.25]	0.2001717	0.1647547	0.2402727
sal + nitrate	Atlantic	(27.25,27.5]	-0.0559929	-0.0936838	-0.0267671
sal + nitrate	Atlantic	(27.5,27.75]	0.1912108	0.1724136	0.2239303
sal + nitrate	Atlantic	(27.75,27.85]	-0.3479890	-0.3937641	-0.3242360
sal + nitrate	Atlantic	(27.85,27.95]	-0.6151628	-0.6401372	-0.5988381
sal + nitrate	Atlantic	(27.95,28.05]	-0.8394471	-0.8498146	-0.8313579
sal + nitrate	Atlantic	(28.05,28.1]	-0.9186692	-0.9222346	-0.9136985
sal + nitrate	Atlantic	(28.1,28.15]	-0.9560345	-0.9603249	-0.9522925
sal + nitrate	Atlantic	(28.15,28.2]	-0.9502404	-0.9574699	-0.9454324
sal + nitrate	Atlantic	(28.2, Inf]	-0.8496086	-0.8543386	-0.8437597
sal + nitrate	Indo-Pacific	(-Inf,26]	-0.3640465	-0.3776946	-0.3536205
sal + nitrate	Indo-Pacific	(26,26.5]	-0.3925487	-0.3956050	-0.3888476
sal + nitrate	Indo-Pacific	(26.5,26.75]	-0.4324714	-0.4485661	-0.4165321
sal + nitrate	Indo-Pacific	(26.75,27]	-0.5680918	-0.5743671	-0.5565613
sal + nitrate	Indo-Pacific	(27,27.25]	-0.7262524	-0.7293605	-0.7220035
sal + nitrate	Indo-Pacific	(27.25,27.5]	-0.3958996	-0.4469378	-0.3471002
sal + nitrate	Indo-Pacific	(27.5,27.75]	0.3945986	0.3634128	0.4426376
sal + nitrate	Indo-Pacific	(27.75,27.85]	0.7165504	0.6989048	0.7328339
sal + nitrate	Indo-Pacific	(27.85,27.95]	0.7086496	0.7047446	0.7134861
sal + nitrate	Indo-Pacific	(27.95,28.05]	0.7772054	0.7634308	0.7864911
sal + nitrate	Indo-Pacific	(28.05,28.1]	0.7767840	0.7599518	0.7911227
sal + nitrate	Indo-Pacific	(28.1, Inf]	0.2797281	0.2655586	0.2887949
sal + phosphate	Atlantic	(-Inf,26]	-0.2860781	-0.3882781	-0.2251075
sal + phosphate	Atlantic	(26,26.5]	-0.6272801	-0.6400341	-0.6091912
sal + phosphate	Atlantic	(26.5,26.75]	0.0141185	-0.0129190	0.0399822
sal + phosphate	Atlantic	(26.75,27]	0.2795016	0.2680738	0.2950770
sal + phosphate	Atlantic	(27,27.25]	0.0649527	0.0301074	0.1062517
sal + phosphate	Atlantic	(27.25,27.5]	-0.1697005	-0.2069645	-0.1399386
sal + phosphate	Atlantic	(27.5,27.75]	0.0947317	0.0766965	0.1255477
sal + phosphate	Atlantic	(27.75,27.85]	-0.4185991	-0.4615248	-0.3971267
sal + phosphate	Atlantic	(27.85,27.95]	-0.6469048	-0.6712580	-0.6345042
sal + phosphate	Atlantic	(27.95,28.05]	-0.8508933	-0.8601016	-0.8422566
sal + phosphate	Atlantic	(28.05,28.1]	-0.9231323	-0.9268673	-0.9186066
sal + phosphate	Atlantic	(28.1,28.15]	-0.9564038	-0.9609303	-0.9527363
sal + phosphate	Atlantic	(28.15,28.2]	-0.9340957	-0.9431186	-0.9285577
sal + phosphate	Atlantic	(28.2, Inf]	-0.7798702	-0.7857020	-0.7747939
sal + phosphate	Indo-Pacific	(-Inf,26]	-0.3505652	-0.3656057	-0.3398402
sal + phosphate	Indo-Pacific	(26,26.5]	-0.3728072	-0.3809128	-0.3655666
sal + phosphate	Indo-Pacific	(26.5,26.75]	-0.3661922	-0.3787922	-0.3583971
sal + phosphate	Indo-Pacific	(26.75,27]	-0.5157390	-0.5232057	-0.5015476
sal + phosphate	Indo-Pacific	(27,27.25]	-0.6788680	-0.6843198	-0.6720251
sal + phosphate	Indo-Pacific	(27.25,27.5]	-0.3690668	-0.4251067	-0.3158867
sal + phosphate	Indo-Pacific	(27.5,27.75]	0.3968051	0.3622543	0.4452387
sal + phosphate	Indo-Pacific	(27.75,27.85]	0.7099620	0.6980176	0.7226798
sal + phosphate	Indo-Pacific	(27.85,27.95]	0.7170970	0.7106186	0.7231330
sal + phosphate	Indo-Pacific	(27.95,28.05]	0.7939575	0.7820365	0.8020706
sal + phosphate	Indo-Pacific	(28.05,28.1]	0.8034619	0.7889220	0.8160377
sal + phosphate	Indo-Pacific	(28.1, Inf]	0.3452629	0.3315183	0.3544634
sal + phosphate_star	Atlantic	(-Inf,26]	-0.2329152	-0.2971674	-0.1166975
sal + phosphate_star	Atlantic	(26,26.5]	-0.8713749	-0.8888172	-0.8605740
sal + phosphate_star	Atlantic	(26.5,26.75]	-0.7906931	-0.8038187	-0.7724329
sal + phosphate_star	Atlantic	(26.75,27]	-0.7654344	-0.7863426	-0.7491980
sal + phosphate_star	Atlantic	(27,27.25]	-0.8021557	-0.8084513	-0.7905337
sal + phosphate_star	Atlantic	(27.25,27.5]	-0.8599140	-0.8862084	-0.8418794
sal + phosphate_star	Atlantic	(27.5,27.75]	-0.5929519	-0.6117562	-0.5684548
sal + phosphate_star	Atlantic	(27.75,27.85]	-0.8717785	-0.8822592	-0.8578849
sal + phosphate_star	Atlantic	(27.85,27.95]	-0.8662511	-0.8780367	-0.8456425
sal + phosphate_star	Atlantic	(27.95,28.05]	-0.9441220	-0.9492494	-0.9376120
sal + phosphate_star	Atlantic	(28.05,28.1]	-0.9797839	-0.9821852	-0.9761840
sal + phosphate_star	Atlantic	(28.1,28.15]	-0.9880893	-0.9902502	-0.9861958
sal + phosphate_star	Atlantic	(28.15,28.2]	-0.9710904	-0.9761683	-0.9665904
sal + phosphate_star	Atlantic	(28.2, Inf]	-0.8353105	-0.8403419	-0.8273290
sal + phosphate_star	Indo-Pacific	(-Inf,26]	-0.7051061	-0.7097153	-0.6993047
sal + phosphate_star	Indo-Pacific	(26,26.5]	-0.8618272	-0.8682763	-0.8574359
sal + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.8723193	-0.8850662	-0.8641781
sal + phosphate_star	Indo-Pacific	(26.75,27]	-0.8409404	-0.8521516	-0.8340020
sal + phosphate_star	Indo-Pacific	(27,27.25]	-0.8984562	-0.9013925	-0.8932149
sal + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.8074484	-0.8229342	-0.7820636
sal + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.8088402	-0.8208941	-0.8026724
sal + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.8921001	-0.9126632	-0.8730666
sal + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.7418731	-0.7609053	-0.7288047
sal + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.6543497	-0.6605512	-0.6421964
sal + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.5910909	-0.6145171	-0.5656040
sal + phosphate_star	Indo-Pacific	(28.1, Inf]	0.0777446	0.0746061	0.0803781
sal + silicate	Atlantic	(-Inf,26]	-0.7669340	-0.7777704	-0.7519958
sal + silicate	Atlantic	(26,26.5]	0.1562159	0.1401592	0.1709700
sal + silicate	Atlantic	(26.5,26.75]	0.2960866	0.2873938	0.3104845
sal + silicate	Atlantic	(26.75,27]	0.1854654	0.1730892	0.1979203
sal + silicate	Atlantic	(27,27.25]	-0.1100898	-0.1451001	-0.0645132
sal + silicate	Atlantic	(27.25,27.5]	-0.3489331	-0.3823259	-0.3229611
sal + silicate	Atlantic	(27.5,27.75]	-0.1437447	-0.1724806	-0.1089496
sal + silicate	Atlantic	(27.75,27.85]	-0.6969075	-0.7305180	-0.6777454
sal + silicate	Atlantic	(27.85,27.95]	-0.8047918	-0.8309036	-0.7666934
sal + silicate	Atlantic	(27.95,28.05]	-0.8981276	-0.9040032	-0.8897013
sal + silicate	Atlantic	(28.05,28.1]	-0.9171217	-0.9230994	-0.9119603
sal + silicate	Atlantic	(28.1,28.15]	-0.9261217	-0.9341953	-0.9193864
sal + silicate	Atlantic	(28.15,28.2]	-0.7625502	-0.7826602	-0.7514873
sal + silicate	Atlantic	(28.2, Inf]	-0.2753959	-0.2889884	-0.2584516
sal + silicate	Indo-Pacific	(-Inf,26]	-0.5418607	-0.5543015	-0.5335664
sal + silicate	Indo-Pacific	(26,26.5]	-0.5820047	-0.5883576	-0.5762382
sal + silicate	Indo-Pacific	(26.5,26.75]	-0.6109009	-0.6269710	-0.5984955
sal + silicate	Indo-Pacific	(26.75,27]	-0.6623207	-0.6680915	-0.6548737
sal + silicate	Indo-Pacific	(27,27.25]	-0.7553520	-0.7618186	-0.7471437
sal + silicate	Indo-Pacific	(27.25,27.5]	-0.4721150	-0.5237858	-0.4204689
sal + silicate	Indo-Pacific	(27.5,27.75]	0.3300370	0.2930687	0.3816435
sal + silicate	Indo-Pacific	(27.75,27.85]	0.6847302	0.6702908	0.7015501
sal + silicate	Indo-Pacific	(27.85,27.95]	0.7086155	0.7031290	0.7168525
sal + silicate	Indo-Pacific	(27.95,28.05]	0.8052849	0.7915347	0.8148604
sal + silicate	Indo-Pacific	(28.05,28.1]	0.8216273	0.8081274	0.8335062
sal + silicate	Indo-Pacific	(28.1, Inf]	0.6684578	0.6529064	0.6809806
sal + temp	Atlantic	(-Inf,26]	0.6533306	0.6235546	0.6773337
sal + temp	Atlantic	(26,26.5]	0.9575253	0.9543267	0.9605834
sal + temp	Atlantic	(26.5,26.75]	0.9679778	0.9658378	0.9715268
sal + temp	Atlantic	(26.75,27]	0.9704035	0.9695052	0.9717815
sal + temp	Atlantic	(27,27.25]	0.9635114	0.9627514	0.9642889
sal + temp	Atlantic	(27.25,27.5]	0.9720218	0.9705993	0.9739551
sal + temp	Atlantic	(27.5,27.75]	0.9677821	0.9660694	0.9690139
sal + temp	Atlantic	(27.75,27.85]	0.9867679	0.9861661	0.9874373
sal + temp	Atlantic	(27.85,27.95]	0.9790278	0.9730015	0.9820994
sal + temp	Atlantic	(27.95,28.05]	0.9758172	0.9752633	0.9762068
sal + temp	Atlantic	(28.05,28.1]	0.9866070	0.9861970	0.9869327
sal + temp	Atlantic	(28.1,28.15]	0.9833975	0.9823447	0.9841544
sal + temp	Atlantic	(28.15,28.2]	0.9790556	0.9786433	0.9793904
sal + temp	Atlantic	(28.2, Inf]	0.9363467	0.9346552	0.9386755
sal + temp	Indo-Pacific	(-Inf,26]	0.8190513	0.8173359	0.8205515
sal + temp	Indo-Pacific	(26,26.5]	0.9532410	0.9509653	0.9544536
sal + temp	Indo-Pacific	(26.5,26.75]	0.9802175	0.9794069	0.9808559
sal + temp	Indo-Pacific	(26.75,27]	0.9789994	0.9780406	0.9796129
sal + temp	Indo-Pacific	(27,27.25]	0.9746726	0.9739315	0.9752025
sal + temp	Indo-Pacific	(27.25,27.5]	0.9220855	0.9203319	0.9239271
sal + temp	Indo-Pacific	(27.5,27.75]	0.8726379	0.8694912	0.8765441
sal + temp	Indo-Pacific	(27.75,27.85]	0.9710373	0.9686466	0.9730119
sal + temp	Indo-Pacific	(27.85,27.95]	0.9395464	0.9381197	0.9415013
sal + temp	Indo-Pacific	(27.95,28.05]	0.9453177	0.9438740	0.9476103
sal + temp	Indo-Pacific	(28.05,28.1]	0.9752401	0.9740998	0.9766582
sal + temp	Indo-Pacific	(28.1, Inf]	0.4319147	0.4153504	0.4450054
silicate + phosphate	Atlantic	(-Inf,26]	-0.1157788	-0.1876232	0.0065717
silicate + phosphate	Atlantic	(26,26.5]	0.0436837	-0.0046121	0.0793459
silicate + phosphate	Atlantic	(26.5,26.75]	0.5732853	0.5239996	0.6075956
silicate + phosphate	Atlantic	(26.75,27]	0.8459486	0.8422182	0.8491304
silicate + phosphate	Atlantic	(27,27.25]	0.9031867	0.9006933	0.9051932
silicate + phosphate	Atlantic	(27.25,27.5]	0.8969579	0.8949067	0.8992622
silicate + phosphate	Atlantic	(27.5,27.75]	0.8973713	0.8951219	0.8986721
silicate + phosphate	Atlantic	(27.75,27.85]	0.8779468	0.8763315	0.8789535
silicate + phosphate	Atlantic	(27.85,27.95]	0.9332662	0.9274030	0.9395083
silicate + phosphate	Atlantic	(27.95,28.05]	0.9739506	0.9718151	0.9750430
silicate + phosphate	Atlantic	(28.05,28.1]	0.9861694	0.9850040	0.9868005
silicate + phosphate	Atlantic	(28.1,28.15]	0.9882516	0.9876269	0.9891589
silicate + phosphate	Atlantic	(28.15,28.2]	0.9369130	0.9353037	0.9398871
silicate + phosphate	Atlantic	(28.2, Inf]	0.7956474	0.7870170	0.8048855
silicate + phosphate	Indo-Pacific	(-Inf,26]	0.8851073	0.8805735	0.8875387
silicate + phosphate	Indo-Pacific	(26,26.5]	0.8771628	0.8751912	0.8784333
silicate + phosphate	Indo-Pacific	(26.5,26.75]	0.8646415	0.8638147	0.8655294
silicate + phosphate	Indo-Pacific	(26.75,27]	0.9206090	0.9194353	0.9223107
silicate + phosphate	Indo-Pacific	(27,27.25]	0.9575162	0.9563250	0.9584401
silicate + phosphate	Indo-Pacific	(27.25,27.5]	0.9717630	0.9707731	0.9729001
silicate + phosphate	Indo-Pacific	(27.5,27.75]	0.9806798	0.9801821	0.9810397
silicate + phosphate	Indo-Pacific	(27.75,27.85]	0.9881949	0.9873941	0.9888966
silicate + phosphate	Indo-Pacific	(27.85,27.95]	0.9874611	0.9869473	0.9883722
silicate + phosphate	Indo-Pacific	(27.95,28.05]	0.9936569	0.9933595	0.9942484
silicate + phosphate	Indo-Pacific	(28.05,28.1]	0.9942659	0.9941395	0.9943905
silicate + phosphate	Indo-Pacific	(28.1, Inf]	0.8639156	0.8611961	0.8653344
silicate + phosphate_star	Atlantic	(-Inf,26]	-0.1742171	-0.2861979	-0.0974407
silicate + phosphate_star	Atlantic	(26,26.5]	-0.2874313	-0.3154072	-0.2350458
silicate + phosphate_star	Atlantic	(26.5,26.75]	0.0355418	-0.0243430	0.0723174
silicate + phosphate_star	Atlantic	(26.75,27]	0.1913500	0.1792724	0.2111644
silicate + phosphate_star	Atlantic	(27,27.25]	0.5370016	0.5089965	0.5643976
silicate + phosphate_star	Atlantic	(27.25,27.5]	0.6762683	0.6664176	0.6817218
silicate + phosphate_star	Atlantic	(27.5,27.75]	0.7972022	0.7882706	0.8078992
silicate + phosphate_star	Atlantic	(27.75,27.85]	0.9103751	0.8963716	0.9222550
silicate + phosphate_star	Atlantic	(27.85,27.95]	0.9643561	0.9609665	0.9706619
silicate + phosphate_star	Atlantic	(27.95,28.05]	0.9212573	0.9198144	0.9233196
silicate + phosphate_star	Atlantic	(28.05,28.1]	0.9222318	0.9144100	0.9273196
silicate + phosphate_star	Atlantic	(28.1,28.15]	0.9400449	0.9326244	0.9458218
silicate + phosphate_star	Atlantic	(28.15,28.2]	0.8665781	0.8618291	0.8726217
silicate + phosphate_star	Atlantic	(28.2, Inf]	0.7350623	0.7312008	0.7393992
silicate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7734776	0.7630648	0.7836476
silicate + phosphate_star	Indo-Pacific	(26,26.5]	0.7797963	0.7789912	0.7802074
silicate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.7990182	0.7922333	0.8069402
silicate + phosphate_star	Indo-Pacific	(26.75,27]	0.8219351	0.8136946	0.8321058
silicate + phosphate_star	Indo-Pacific	(27,27.25]	0.8154021	0.8004342	0.8291380
silicate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.5247037	0.4747768	0.5709459
silicate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.1046484	-0.1594677	-0.0639792
silicate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.4780369	-0.4846184	-0.4659688
silicate + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.2662201	-0.2800375	-0.2550534
silicate + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.2746701	-0.2923205	-0.2442445
silicate + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.1829548	-0.2337577	-0.1313883
silicate + phosphate_star	Indo-Pacific	(28.1, Inf]	0.4389974	0.4249003	0.4477623
temp + aou	Atlantic	(-Inf,26]	-0.6733863	-0.6914021	-0.6483187
temp + aou	Atlantic	(26,26.5]	-0.4224434	-0.4299952	-0.4169814
temp + aou	Atlantic	(26.5,26.75]	0.1421728	0.1196718	0.1562913
temp + aou	Atlantic	(26.75,27]	0.3921182	0.3670725	0.4133339
temp + aou	Atlantic	(27,27.25]	0.3384864	0.3117948	0.3636700
temp + aou	Atlantic	(27.25,27.5]	0.4150383	0.4094352	0.4202730
temp + aou	Atlantic	(27.5,27.75]	0.6647289	0.6540495	0.6775879
temp + aou	Atlantic	(27.75,27.85]	0.6694154	0.6161014	0.7066547
temp + aou	Atlantic	(27.85,27.95]	0.2083945	0.0832725	0.3066726
temp + aou	Atlantic	(27.95,28.05]	0.1676750	0.1137440	0.2184870
temp + aou	Atlantic	(28.05,28.1]	-0.2294707	-0.2903847	-0.1744636
temp + aou	Atlantic	(28.1,28.15]	-0.6602073	-0.7042175	-0.6042746
temp + aou	Atlantic	(28.15,28.2]	-0.7503597	-0.7610057	-0.7334520
temp + aou	Atlantic	(28.2, Inf]	-0.7394613	-0.7444418	-0.7340520
temp + aou	Indo-Pacific	(-Inf,26]	-0.3830600	-0.3951899	-0.3718747
temp + aou	Indo-Pacific	(26,26.5]	-0.2063534	-0.2117801	-0.2005794
temp + aou	Indo-Pacific	(26.5,26.75]	-0.1769595	-0.1827169	-0.1688407
temp + aou	Indo-Pacific	(26.75,27]	-0.3596209	-0.3786044	-0.3449435
temp + aou	Indo-Pacific	(27,27.25]	-0.5572514	-0.5641753	-0.5496268
temp + aou	Indo-Pacific	(27.25,27.5]	-0.2380167	-0.2868448	-0.1935446
temp + aou	Indo-Pacific	(27.5,27.75]	0.4143057	0.3861919	0.4556570
temp + aou	Indo-Pacific	(27.75,27.85]	0.7620436	0.7581197	0.7645451
temp + aou	Indo-Pacific	(27.85,27.95]	0.7386963	0.7368858	0.7401034
temp + aou	Indo-Pacific	(27.95,28.05]	0.7941870	0.7841629	0.7993298
temp + aou	Indo-Pacific	(28.05,28.1]	0.8291670	0.8152479	0.8422628
temp + aou	Indo-Pacific	(28.1, Inf]	0.7903903	0.7831499	0.7957401
temp + nitrate	Atlantic	(-Inf,26]	-0.7482582	-0.7592554	-0.7263534
temp + nitrate	Atlantic	(26,26.5]	-0.4592328	-0.4728256	-0.4361785
temp + nitrate	Atlantic	(26.5,26.75]	0.0638699	0.0471360	0.0757182
temp + nitrate	Atlantic	(26.75,27]	0.3135244	0.2969704	0.3245540
temp + nitrate	Atlantic	(27,27.25]	0.1644953	0.1304754	0.2004375
temp + nitrate	Atlantic	(27.25,27.5]	-0.0167911	-0.0519303	0.0149653
temp + nitrate	Atlantic	(27.5,27.75]	0.1726585	0.1562356	0.1983166
temp + nitrate	Atlantic	(27.75,27.85]	-0.3423245	-0.3792765	-0.3209580
temp + nitrate	Atlantic	(27.85,27.95]	-0.6276891	-0.6453430	-0.6036223
temp + nitrate	Atlantic	(27.95,28.05]	-0.8014359	-0.8058019	-0.7969780
temp + nitrate	Atlantic	(28.05,28.1]	-0.8793725	-0.8811659	-0.8784275
temp + nitrate	Atlantic	(28.1,28.15]	-0.9138621	-0.9186179	-0.9075336
temp + nitrate	Atlantic	(28.15,28.2]	-0.9220405	-0.9284809	-0.9177013
temp + nitrate	Atlantic	(28.2, Inf]	-0.9114128	-0.9179543	-0.9036329
temp + nitrate	Indo-Pacific	(-Inf,26]	-0.5305238	-0.5385766	-0.5236256
temp + nitrate	Indo-Pacific	(26,26.5]	-0.4436510	-0.4536665	-0.4370851
temp + nitrate	Indo-Pacific	(26.5,26.75]	-0.4194706	-0.4355876	-0.4040356
temp + nitrate	Indo-Pacific	(26.75,27]	-0.5300747	-0.5380363	-0.5186305
temp + nitrate	Indo-Pacific	(27,27.25]	-0.7047826	-0.7083830	-0.7020198
temp + nitrate	Indo-Pacific	(27.25,27.5]	-0.4009673	-0.4435115	-0.3584048
temp + nitrate	Indo-Pacific	(27.5,27.75]	0.2695936	0.2422280	0.3125510
temp + nitrate	Indo-Pacific	(27.75,27.85]	0.7104976	0.7047339	0.7196343
temp + nitrate	Indo-Pacific	(27.85,27.95]	0.6731606	0.6707847	0.6743752
temp + nitrate	Indo-Pacific	(27.95,28.05]	0.7177775	0.7037045	0.7262553
temp + nitrate	Indo-Pacific	(28.05,28.1]	0.7564011	0.7393567	0.7724365
temp + nitrate	Indo-Pacific	(28.1, Inf]	0.7217102	0.7110880	0.7291483
temp + phosphate	Atlantic	(-Inf,26]	-0.6918321	-0.7247040	-0.6500240
temp + phosphate	Atlantic	(26,26.5]	-0.6493700	-0.6622567	-0.6386709
temp + phosphate	Atlantic	(26.5,26.75]	-0.0937210	-0.1213111	-0.0737253
temp + phosphate	Atlantic	(26.75,27]	0.2062343	0.1936635	0.2175902
temp + phosphate	Atlantic	(27,27.25]	0.0444010	0.0112747	0.0821198
temp + phosphate	Atlantic	(27.25,27.5]	-0.1232714	-0.1586050	-0.0908993
temp + phosphate	Atlantic	(27.5,27.75]	0.0810692	0.0655948	0.1048235
temp + phosphate	Atlantic	(27.75,27.85]	-0.4117795	-0.4461342	-0.3928643
temp + phosphate	Atlantic	(27.85,27.95]	-0.6590247	-0.6749037	-0.6386427
temp + phosphate	Atlantic	(27.95,28.05]	-0.8144104	-0.8179640	-0.8117708
temp + phosphate	Atlantic	(28.05,28.1]	-0.8838207	-0.8859749	-0.8821255
temp + phosphate	Atlantic	(28.1,28.15]	-0.9148642	-0.9199967	-0.9086026
temp + phosphate	Atlantic	(28.15,28.2]	-0.9127929	-0.9207532	-0.9073622
temp + phosphate	Atlantic	(28.2, Inf]	-0.8774184	-0.8850868	-0.8705059
temp + phosphate	Indo-Pacific	(-Inf,26]	-0.5010743	-0.5112286	-0.4928823
temp + phosphate	Indo-Pacific	(26,26.5]	-0.4259706	-0.4278262	-0.4230276
temp + phosphate	Indo-Pacific	(26.5,26.75]	-0.3493524	-0.3623151	-0.3412680
temp + phosphate	Indo-Pacific	(26.75,27]	-0.4712098	-0.4800858	-0.4577601
temp + phosphate	Indo-Pacific	(27,27.25]	-0.6505970	-0.6521598	-0.6478024
temp + phosphate	Indo-Pacific	(27.25,27.5]	-0.3639769	-0.4125920	-0.3186375
temp + phosphate	Indo-Pacific	(27.5,27.75]	0.2940172	0.2653576	0.3358035
temp + phosphate	Indo-Pacific	(27.75,27.85]	0.7056736	0.7008334	0.7130559
temp + phosphate	Indo-Pacific	(27.85,27.95]	0.6858201	0.6839548	0.6880871
temp + phosphate	Indo-Pacific	(27.95,28.05]	0.7304217	0.7182804	0.7383440
temp + phosphate	Indo-Pacific	(28.05,28.1]	0.7781278	0.7629991	0.7928447
temp + phosphate	Indo-Pacific	(28.1, Inf]	0.7448388	0.7328314	0.7531671
temp + phosphate_star	Atlantic	(-Inf,26]	-0.6719841	-0.7125632	-0.6156451
temp + phosphate_star	Atlantic	(26,26.5]	-0.8604557	-0.8746947	-0.8508006
temp + phosphate_star	Atlantic	(26.5,26.75]	-0.8128603	-0.8241558	-0.8025852
temp + phosphate_star	Atlantic	(26.75,27]	-0.8040805	-0.8236008	-0.7917072
temp + phosphate_star	Atlantic	(27,27.25]	-0.8002279	-0.8076979	-0.7858486
temp + phosphate_star	Atlantic	(27.25,27.5]	-0.8357799	-0.8647195	-0.8143784
temp + phosphate_star	Atlantic	(27.5,27.75]	-0.6084484	-0.6222880	-0.5899268
temp + phosphate_star	Atlantic	(27.75,27.85]	-0.8750043	-0.8809815	-0.8639531
temp + phosphate_star	Atlantic	(27.85,27.95]	-0.8858482	-0.8868042	-0.8842778
temp + phosphate_star	Atlantic	(27.95,28.05]	-0.9552412	-0.9568131	-0.9533655
temp + phosphate_star	Atlantic	(28.05,28.1]	-0.9717010	-0.9729089	-0.9700225
temp + phosphate_star	Atlantic	(28.1,28.15]	-0.9748237	-0.9761289	-0.9737670
temp + phosphate_star	Atlantic	(28.15,28.2]	-0.9724762	-0.9778437	-0.9680787
temp + phosphate_star	Atlantic	(28.2, Inf]	-0.9365207	-0.9435983	-0.9280003
temp + phosphate_star	Indo-Pacific	(-Inf,26]	-0.8438104	-0.8472474	-0.8409046
temp + phosphate_star	Indo-Pacific	(26,26.5]	-0.9093471	-0.9117169	-0.9073335
temp + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.8766000	-0.8897664	-0.8667229
temp + phosphate_star	Indo-Pacific	(26.75,27]	-0.8413122	-0.8530798	-0.8323721
temp + phosphate_star	Indo-Pacific	(27,27.25]	-0.9154387	-0.9202496	-0.9071168
temp + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.9108800	-0.9242850	-0.8933182
temp + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.9386394	-0.9455432	-0.9330908
temp + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.9199864	-0.9319618	-0.9055819
temp + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.8333174	-0.8476161	-0.8228821
temp + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.7747094	-0.7835516	-0.7653546
temp + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.6601479	-0.6784237	-0.6366274
temp + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.3071964	-0.3199995	-0.2878972
temp + silicate	Atlantic	(-Inf,26]	-0.3580813	-0.3998136	-0.3253640
temp + silicate	Atlantic	(26,26.5]	0.1114116	0.1019378	0.1199230
temp + silicate	Atlantic	(26.5,26.75]	0.1935987	0.1845298	0.2114536
temp + silicate	Atlantic	(26.75,27]	0.0736922	0.0662084	0.0824211
temp + silicate	Atlantic	(27,27.25]	-0.1591661	-0.1900194	-0.1191642
temp + silicate	Atlantic	(27.25,27.5]	-0.3037561	-0.3372043	-0.2739047
temp + silicate	Atlantic	(27.5,27.75]	-0.1692990	-0.1879477	-0.1413779
temp + silicate	Atlantic	(27.75,27.85]	-0.6837547	-0.7120459	-0.6665063
temp + silicate	Atlantic	(27.85,27.95]	-0.8118812	-0.8230221	-0.8019158
temp + silicate	Atlantic	(27.95,28.05]	-0.8587793	-0.8617042	-0.8549848
temp + silicate	Atlantic	(28.05,28.1]	-0.8723702	-0.8787251	-0.8621398
temp + silicate	Atlantic	(28.1,28.15]	-0.8791268	-0.8895125	-0.8690854
temp + silicate	Atlantic	(28.15,28.2]	-0.7526173	-0.7702502	-0.7418305
temp + silicate	Atlantic	(28.2, Inf]	-0.5105510	-0.5177126	-0.4971150
temp + silicate	Indo-Pacific	(-Inf,26]	-0.6048830	-0.6117431	-0.5975781
temp + silicate	Indo-Pacific	(26,26.5]	-0.6094787	-0.6154928	-0.6035465
temp + silicate	Indo-Pacific	(26.5,26.75]	-0.6022462	-0.6184991	-0.5908764
temp + silicate	Indo-Pacific	(26.75,27]	-0.6349451	-0.6388908	-0.6277156
temp + silicate	Indo-Pacific	(27,27.25]	-0.7402266	-0.7427935	-0.7353890
temp + silicate	Indo-Pacific	(27.25,27.5]	-0.4632751	-0.5079393	-0.4188059
temp + silicate	Indo-Pacific	(27.5,27.75]	0.2166002	0.1861815	0.2603923
temp + silicate	Indo-Pacific	(27.75,27.85]	0.6784483	0.6719560	0.6870606
temp + silicate	Indo-Pacific	(27.85,27.95]	0.6612227	0.6576082	0.6644594
temp + silicate	Indo-Pacific	(27.95,28.05]	0.7434314	0.7286671	0.7521209
temp + silicate	Indo-Pacific	(28.05,28.1]	0.7986645	0.7850456	0.8122994
temp + silicate	Indo-Pacific	(28.1, Inf]	0.5839799	0.5655074	0.5948348

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")

Version	Author	Date
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]	0.3699969	0.3142534	0.4330489
aou	Atlantic	(26,26.5]	0.0228752	-0.0665109	0.1374984
aou	Atlantic	(26.5,26.75]	0.0346633	-0.1298991	0.2296781
aou	Atlantic	(26.75,27]	-0.0500847	-0.2354168	0.1912858
aou	Atlantic	(27,27.25]	-0.3682828	-0.5017221	-0.2135966
aou	Atlantic	(27.25,27.5]	-0.2780015	-0.3940222	-0.1343829
aou	Atlantic	(27.5,27.75]	-0.1436712	-0.1814234	-0.0944664
aou	Atlantic	(27.75,27.85]	-0.0436034	-0.0643492	-0.0164465
aou	Atlantic	(27.85,27.95]	-0.4918093	-0.5670778	-0.4476164
aou	Atlantic	(27.95,28.05]	-0.3142288	-0.3541433	-0.2782250
aou	Atlantic	(28.05,28.1]	-0.5806992	-0.5947999	-0.5701453
aou	Atlantic	(28.1,28.15]	-0.8728723	-0.8840608	-0.8595606
aou	Atlantic	(28.15,28.2]	-0.9234968	-0.9314384	-0.9194423
aou	Atlantic	(28.2, Inf]	-0.8674456	-0.8721107	-0.8599806
aou	Indo-Pacific	(-Inf,26]	-0.0783353	-0.2183958	0.0570850
aou	Indo-Pacific	(26,26.5]	-0.4539507	-0.5828842	-0.2909152
aou	Indo-Pacific	(26.5,26.75]	-0.7509771	-0.8108020	-0.6618035
aou	Indo-Pacific	(26.75,27]	-0.8214107	-0.8677877	-0.7557996
aou	Indo-Pacific	(27,27.25]	-0.8076885	-0.8693404	-0.7289012
aou	Indo-Pacific	(27.25,27.5]	-0.6831446	-0.8268717	-0.4664881
aou	Indo-Pacific	(27.5,27.75]	-0.2668894	-0.7092982	0.3778430
aou	Indo-Pacific	(27.75,27.85]	0.0541965	-0.4667062	0.7250736
aou	Indo-Pacific	(27.85,27.95]	0.2540795	-0.1538175	0.6972147
aou	Indo-Pacific	(27.95,28.05]	0.1174048	-0.2149306	0.5199428
aou	Indo-Pacific	(28.05,28.1]	0.2296352	-0.0742283	0.5720567
aou	Indo-Pacific	(28.1, Inf]	0.5311251	0.4571407	0.6089173
nitrate	Atlantic	(-Inf,26]	0.0301450	0.0044862	0.0758708
nitrate	Atlantic	(26,26.5]	-0.1966481	-0.2909343	-0.0820989
nitrate	Atlantic	(26.5,26.75]	-0.1174439	-0.2845440	0.0790399
nitrate	Atlantic	(26.75,27]	-0.1723059	-0.3502020	0.0565846
nitrate	Atlantic	(27,27.25]	-0.5718075	-0.6760606	-0.4459918
nitrate	Atlantic	(27.25,27.5]	-0.7065243	-0.7738043	-0.6207884
nitrate	Atlantic	(27.5,27.75]	-0.8474524	-0.8724410	-0.8175643
nitrate	Atlantic	(27.75,27.85]	-0.9098508	-0.9188292	-0.8939087
nitrate	Atlantic	(27.85,27.95]	-0.9662719	-0.9713037	-0.9565645
nitrate	Atlantic	(27.95,28.05]	-0.9453921	-0.9458676	-0.9449505
nitrate	Atlantic	(28.05,28.1]	-0.9909010	-0.9921248	-0.9902472
nitrate	Atlantic	(28.1,28.15]	-0.9938140	-0.9955193	-0.9926714
nitrate	Atlantic	(28.15,28.2]	-0.9949585	-0.9975033	-0.9915447
nitrate	Atlantic	(28.2, Inf]	-0.9776626	-0.9805041	-0.9735832
nitrate	Indo-Pacific	(-Inf,26]	-0.0968827	-0.2325742	0.0403306
nitrate	Indo-Pacific	(26,26.5]	-0.4373208	-0.5555122	-0.3064422
nitrate	Indo-Pacific	(26.5,26.75]	-0.6642863	-0.7161570	-0.5825956
nitrate	Indo-Pacific	(26.75,27]	-0.7110573	-0.7494098	-0.6452636
nitrate	Indo-Pacific	(27,27.25]	-0.7590907	-0.8193002	-0.6870477
nitrate	Indo-Pacific	(27.25,27.5]	-0.6799804	-0.8112245	-0.4791727
nitrate	Indo-Pacific	(27.5,27.75]	-0.2933214	-0.7223094	0.3288192
nitrate	Indo-Pacific	(27.75,27.85]	0.0859240	-0.4315265	0.7361894
nitrate	Indo-Pacific	(27.85,27.95]	0.3091551	-0.0879106	0.7264487
nitrate	Indo-Pacific	(27.95,28.05]	0.1926984	-0.1239144	0.5756165
nitrate	Indo-Pacific	(28.05,28.1]	0.3080770	0.0242022	0.6261546
nitrate	Indo-Pacific	(28.1, Inf]	0.5566553	0.4961477	0.6199845
phosphate	Atlantic	(-Inf,26]	0.4437982	0.3732588	0.5359697
phosphate	Atlantic	(26,26.5]	0.0459785	-0.0135235	0.1109366
phosphate	Atlantic	(26.5,26.75]	-0.1091851	-0.2536214	0.0706933
phosphate	Atlantic	(26.75,27]	-0.2051431	-0.3698430	-0.0001716
phosphate	Atlantic	(27,27.25]	-0.6178739	-0.7102932	-0.5024120
phosphate	Atlantic	(27.25,27.5]	-0.7540395	-0.8093556	-0.6833296
phosphate	Atlantic	(27.5,27.75]	-0.8724205	-0.8922121	-0.8484280
phosphate	Atlantic	(27.75,27.85]	-0.9331428	-0.9392966	-0.9212591
phosphate	Atlantic	(27.85,27.95]	-0.9683942	-0.9742537	-0.9572155
phosphate	Atlantic	(27.95,28.05]	-0.9478501	-0.9504567	-0.9462639
phosphate	Atlantic	(28.05,28.1]	-0.9908487	-0.9923709	-0.9899658
phosphate	Atlantic	(28.1,28.15]	-0.9937585	-0.9952981	-0.9926745
phosphate	Atlantic	(28.15,28.2]	-0.9934876	-0.9960508	-0.9917062
phosphate	Atlantic	(28.2, Inf]	-0.9838347	-0.9862575	-0.9824245
phosphate	Indo-Pacific	(-Inf,26]	-0.1257890	-0.2660286	0.0139320
phosphate	Indo-Pacific	(26,26.5]	-0.5835509	-0.7008541	-0.4326088
phosphate	Indo-Pacific	(26.5,26.75]	-0.8222013	-0.8712450	-0.7441858
phosphate	Indo-Pacific	(26.75,27]	-0.8570317	-0.8917485	-0.8044362
phosphate	Indo-Pacific	(27,27.25]	-0.8459725	-0.8951010	-0.7836822
phosphate	Indo-Pacific	(27.25,27.5]	-0.7379857	-0.8594647	-0.5519642
phosphate	Indo-Pacific	(27.5,27.75]	-0.2988323	-0.7187782	0.3159473
phosphate	Indo-Pacific	(27.75,27.85]	0.0939237	-0.4150972	0.7388529
phosphate	Indo-Pacific	(27.85,27.95]	0.2933551	-0.1000313	0.7157492
phosphate	Indo-Pacific	(27.95,28.05]	0.1821099	-0.1337422	0.5633747
phosphate	Indo-Pacific	(28.05,28.1]	0.2803422	-0.0038746	0.5991699
phosphate	Indo-Pacific	(28.1, Inf]	0.5111610	0.4448350	0.5801292
phosphate_star	Atlantic	(-Inf,26]	0.1042002	0.0516706	0.1954765
phosphate_star	Atlantic	(26,26.5]	0.1282250	0.1004274	0.1593659
phosphate_star	Atlantic	(26.5,26.75]	-0.3460645	-0.3754014	-0.3205325
phosphate_star	Atlantic	(26.75,27]	-0.4703938	-0.5827713	-0.4070446
phosphate_star	Atlantic	(27,27.25]	-0.6281390	-0.6910563	-0.5503344
phosphate_star	Atlantic	(27.25,27.5]	-0.7640967	-0.8345740	-0.7025050
phosphate_star	Atlantic	(27.5,27.75]	-0.7956182	-0.8326402	-0.7588799
phosphate_star	Atlantic	(27.75,27.85]	-0.8871323	-0.9280074	-0.8477959
phosphate_star	Atlantic	(27.85,27.95]	-0.8992693	-0.9277667	-0.8639567
phosphate_star	Atlantic	(27.95,28.05]	-0.8705701	-0.8972547	-0.8495385
phosphate_star	Atlantic	(28.05,28.1]	-0.9414398	-0.9613994	-0.9219952
phosphate_star	Atlantic	(28.1,28.15]	-0.9652784	-0.9780363	-0.9517904
phosphate_star	Atlantic	(28.15,28.2]	-0.9767725	-0.9843547	-0.9672578
phosphate_star	Atlantic	(28.2, Inf]	-0.9803031	-0.9855388	-0.9736532
phosphate_star	Indo-Pacific	(-Inf,26]	0.0032686	-0.1046380	0.1141210
phosphate_star	Indo-Pacific	(26,26.5]	-0.5767779	-0.6206612	-0.5257640
phosphate_star	Indo-Pacific	(26.5,26.75]	-0.6330450	-0.6531244	-0.6056487
phosphate_star	Indo-Pacific	(26.75,27]	-0.5807751	-0.6097227	-0.5483395
phosphate_star	Indo-Pacific	(27,27.25]	-0.6891335	-0.7050759	-0.6767214
phosphate_star	Indo-Pacific	(27.25,27.5]	-0.5452517	-0.5764644	-0.5285423
phosphate_star	Indo-Pacific	(27.5,27.75]	-0.1495347	-0.4685563	0.0699167
phosphate_star	Indo-Pacific	(27.75,27.85]	0.3338391	-0.2202116	0.7088281
phosphate_star	Indo-Pacific	(27.85,27.95]	0.3479766	0.0420454	0.6043154
phosphate_star	Indo-Pacific	(27.95,28.05]	0.5161839	0.2462848	0.7150883
phosphate_star	Indo-Pacific	(28.05,28.1]	0.4775960	0.2427917	0.6696945
phosphate_star	Indo-Pacific	(28.1, Inf]	0.0869163	0.0256137	0.1329714
sal	Atlantic	(-Inf,26]	0.6301580	0.5967221	0.6787106
sal	Atlantic	(26,26.5]	-0.1160151	-0.1435965	-0.0843350
sal	Atlantic	(26.5,26.75]	-0.0049338	-0.0853702	0.0867339
sal	Atlantic	(26.75,27]	-0.0228623	-0.1244960	0.1795001
sal	Atlantic	(27,27.25]	0.0783613	-0.0377676	0.1746954
sal	Atlantic	(27.25,27.5]	0.3561322	0.2411331	0.5048701
sal	Atlantic	(27.5,27.75]	-0.0014998	-0.0893958	0.0826720
sal	Atlantic	(27.75,27.85]	0.5597104	0.4962844	0.6522596
sal	Atlantic	(27.85,27.95]	0.5913422	0.5373199	0.6482527
sal	Atlantic	(27.95,28.05]	0.7402268	0.7014792	0.7818662
sal	Atlantic	(28.05,28.1]	0.8976575	0.8819533	0.9235227
sal	Atlantic	(28.1,28.15]	0.9382382	0.9237176	0.9566391
sal	Atlantic	(28.15,28.2]	0.9396244	0.9148891	0.9530748
sal	Atlantic	(28.2, Inf]	0.7751973	0.7523670	0.7909388
sal	Indo-Pacific	(-Inf,26]	-0.0656937	-0.1248989	-0.0010372
sal	Indo-Pacific	(26,26.5]	0.3136190	0.2960003	0.3441786
sal	Indo-Pacific	(26.5,26.75]	0.3042066	0.2692456	0.3275747
sal	Indo-Pacific	(26.75,27]	0.2184717	0.1651768	0.2533455
sal	Indo-Pacific	(27,27.25]	0.4500968	0.4156733	0.4860088
sal	Indo-Pacific	(27.25,27.5]	0.2168740	0.1656598	0.2616390
sal	Indo-Pacific	(27.5,27.75]	-0.1487316	-0.3975800	0.2474715
sal	Indo-Pacific	(27.75,27.85]	-0.2634332	-0.7225937	0.3282293
sal	Indo-Pacific	(27.85,27.95]	-0.0909289	-0.4875153	0.3205268
sal	Indo-Pacific	(27.95,28.05]	-0.2628412	-0.5629561	0.1194491
sal	Indo-Pacific	(28.05,28.1]	-0.1789093	-0.4660927	0.1538975
sal	Indo-Pacific	(28.1, Inf]	0.0300463	-0.0940005	0.1602717
silicate	Atlantic	(-Inf,26]	-0.6170727	-0.6760381	-0.5811847
silicate	Atlantic	(26,26.5]	-0.4906641	-0.5462562	-0.4256814
silicate	Atlantic	(26.5,26.75]	-0.3462163	-0.4712667	-0.1975607
silicate	Atlantic	(26.75,27]	-0.4370608	-0.6019692	-0.2474469
silicate	Atlantic	(27,27.25]	-0.7817661	-0.8453642	-0.6956457
silicate	Atlantic	(27.25,27.5]	-0.8686313	-0.8991166	-0.8258481
silicate	Atlantic	(27.5,27.75]	-0.9086598	-0.9103216	-0.9078130
silicate	Atlantic	(27.75,27.85]	-0.9263047	-0.9378517	-0.9154470
silicate	Atlantic	(27.85,27.95]	-0.9039599	-0.9230357	-0.8751985
silicate	Atlantic	(27.95,28.05]	-0.9020047	-0.9124562	-0.8967404
silicate	Atlantic	(28.05,28.1]	-0.9693573	-0.9723080	-0.9676185
silicate	Atlantic	(28.1,28.15]	-0.9790797	-0.9808752	-0.9760272
silicate	Atlantic	(28.15,28.2]	-0.9154999	-0.9228854	-0.9015338
silicate	Atlantic	(28.2, Inf]	-0.7749718	-0.7978574	-0.7430729
silicate	Indo-Pacific	(-Inf,26]	-0.1095453	-0.2421212	0.0088653
silicate	Indo-Pacific	(26,26.5]	-0.6611027	-0.7501908	-0.5482540
silicate	Indo-Pacific	(26.5,26.75]	-0.7606798	-0.8030241	-0.6881811
silicate	Indo-Pacific	(26.75,27]	-0.7096096	-0.7471744	-0.6508651
silicate	Indo-Pacific	(27,27.25]	-0.7128578	-0.7750192	-0.6347523
silicate	Indo-Pacific	(27.25,27.5]	-0.6348143	-0.7679664	-0.4374457
silicate	Indo-Pacific	(27.5,27.75]	-0.2420773	-0.6676017	0.3705983
silicate	Indo-Pacific	(27.75,27.85]	0.1207002	-0.3888215	0.7614079
silicate	Indo-Pacific	(27.85,27.95]	0.3039334	-0.0913776	0.7271294
silicate	Indo-Pacific	(27.95,28.05]	0.1756062	-0.1500179	0.5686265
silicate	Indo-Pacific	(28.05,28.1]	0.2744892	-0.0171183	0.6007492
silicate	Indo-Pacific	(28.1, Inf]	0.4937660	0.4004983	0.5890654
temp	Atlantic	(-Inf,26]	-0.0621812	-0.1229914	-0.0094889
temp	Atlantic	(26,26.5]	-0.2569733	-0.2887979	-0.2215122
temp	Atlantic	(26.5,26.75]	-0.0241788	-0.0859070	0.0407507
temp	Atlantic	(26.75,27]	0.0482404	-0.0624640	0.2264649
temp	Atlantic	(27,27.25]	0.1068697	0.0059433	0.1823371
temp	Atlantic	(27.25,27.5]	0.3128899	0.1969779	0.4593385
temp	Atlantic	(27.5,27.75]	0.0209505	-0.0551186	0.0927190
temp	Atlantic	(27.75,27.85]	0.5623339	0.5028054	0.6466036
temp	Atlantic	(27.85,27.95]	0.6105009	0.5495791	0.6575334
temp	Atlantic	(27.95,28.05]	0.7184415	0.6842691	0.7606153
temp	Atlantic	(28.05,28.1]	0.8574133	0.8340251	0.8857391
temp	Atlantic	(28.1,28.15]	0.8932893	0.8725252	0.9156733
temp	Atlantic	(28.15,28.2]	0.9121245	0.8861180	0.9253878
temp	Atlantic	(28.2, Inf]	0.8785367	0.8635869	0.8912433
temp	Indo-Pacific	(-Inf,26]	-0.3837405	-0.4668542	-0.2998787
temp	Indo-Pacific	(26,26.5]	0.2730723	0.2394479	0.3130584
temp	Indo-Pacific	(26.5,26.75]	0.2652555	0.2202511	0.2938763
temp	Indo-Pacific	(26.75,27]	0.1527198	0.0965151	0.1875541
temp	Indo-Pacific	(27,27.25]	0.4197209	0.3912536	0.4496733
temp	Indo-Pacific	(27.25,27.5]	0.3226335	0.3139964	0.3373754
temp	Indo-Pacific	(27.5,27.75]	0.0713482	-0.1648825	0.4220091
temp	Indo-Pacific	(27.75,27.85]	-0.2702242	-0.7208683	0.3287545
temp	Indo-Pacific	(27.85,27.95]	-0.1485052	-0.5274000	0.2584974
temp	Indo-Pacific	(27.95,28.05]	-0.3403055	-0.6359908	0.0401772
temp	Indo-Pacific	(28.05,28.1]	-0.1987897	-0.4921282	0.1516189
temp	Indo-Pacific	(28.1, Inf]	0.2179404	0.1217440	0.3241880

rm(cor_target_predictor, cor_target_predictor_stats)

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

eMLR - assumption testing

Jens Daniel Müller and Donghe Zhu

26 March, 2021