eMLR - assumption testing

workflowr

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Last updated: 2021-05-27

Checks: 7 0

Knit directory: emlr_obs_v_XXX/

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File	Version	Author	Date	Message
Rmd	dc8e4e1	jens-daniel-mueller	2021-05-27	optional source of local params implemented
html	25bd183	jens-daniel-mueller	2021-05-26	Build site.
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html	d2a83bc	jens-daniel-mueller	2021-04-16	Build site.
html	c0a47df	jens-daniel-mueller	2021-04-16	Build site.
html	50290e8	jens-daniel-mueller	2021-04-16	overlapping eras
html	a00ec94	jens-daniel-mueller	2021-04-16	Build site.
html	b6fe355	jens-daniel-mueller	2021-04-16	Build site.
html	81b7c6d	jens-daniel-mueller	2021-04-16	Build site.
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html	bb44686	jens-daniel-mueller	2021-04-14	Build site.
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html	9f31fe3	jens-daniel-mueller	2021-04-13	Build site.
Rmd	80e1ee3	jens-daniel-mueller	2021-04-13	rerun post-2000 with model data
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html	a79ca2c	jens-daniel-mueller	2021-04-09	included model data
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Rmd	49be8ed	jens-daniel-mueller	2021-03-26	included model data
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Rmd	da3c481	jens-daniel-mueller	2021-03-24	included model data
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html	6482ed7	jens-daniel-mueller	2021-03-11	Build site.
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html	3c2ec33	jens-daniel-mueller	2021-03-05	Build site.
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html	318609d	jens-daniel-mueller	2020-12-23	adapted more variable predictor selection
html	9d0b2d0	jens-daniel-mueller	2020-12-23	Build site.
html	0aa2b50	jens-daniel-mueller	2020-12-23	remove html before duplication
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html	5d96d3c	jens-daniel-mueller	2020-12-11	Build site.
Rmd	3d33a37	jens-daniel-mueller	2020-12-11	selectable basinmask, try 5
html	b01a367	jens-daniel-mueller	2020-12-09	Build site.
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html	c8c2e7b	jens-daniel-mueller	2020-12-03	Build site.
Rmd	83203db	jens-daniel-mueller	2020-12-03	calculate cant with variable inventory depth
html	090e4d5	jens-daniel-mueller	2020-12-02	Build site.
html	7c25f7a	jens-daniel-mueller	2020-12-02	Build site.
html	ec8dc38	jens-daniel-mueller	2020-12-02	Build site.
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html	f8358f8	jens-daniel-mueller	2020-12-02	Build site.
html	b03ddb8	jens-daniel-mueller	2020-12-02	Build site.
Rmd	9183e8f	jens-daniel-mueller	2020-12-02	revised assignment of era to eras
html	22d0127	jens-daniel-mueller	2020-12-01	Build site.
html	0ff728b	jens-daniel-mueller	2020-12-01	Build site.
html	91435ae	jens-daniel-mueller	2020-12-01	Build site.
Rmd	17d09be	jens-daniel-mueller	2020-12-01	auto eras naming
html	cf19652	jens-daniel-mueller	2020-11-30	Build site.
Rmd	2842970	jens-daniel-mueller	2020-11-30	cleaned for eMLR part only
html	196be51	jens-daniel-mueller	2020-11-30	Build site.
Rmd	7a4b015	jens-daniel-mueller	2020-11-30	first rebuild on ETH server
Rmd	bc61ce3	Jens Müller	2020-11-30	Initial commit
html	bc61ce3	Jens Müller	2020-11-30	Initial commit

---

1 Required data

Required are:

• cleaned and prepared GLODAPv2.2020 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 coeffcients.

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).

plot_fun <- function(df){
  ggpairs(
    data = df,
    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:",
      unique(df$basin),
      "| era: all | random subsample:",
      nrow(df),
      "| data source:",
      unique(df$data_source)
    ))
}

GLODAP %>%
  slice_sample(n = 5e3) %>% 
  group_split(basin, data_source) %>%
  map(plot_fun)

[[1]]

Past versions of predictor_correlation_per_basin-1.png

Version	Author	Date
25bd183	jens-daniel-mueller	2021-05-26
62bd574	jens-daniel-mueller	2021-05-20
7c56c39	jens-daniel-mueller	2021-05-19
52e7583	jens-daniel-mueller	2021-05-12
969e631	jens-daniel-mueller	2021-05-12
d2a83bc	jens-daniel-mueller	2021-04-16
c0a47df	jens-daniel-mueller	2021-04-16
50290e8	jens-daniel-mueller	2021-04-16
a00ec94	jens-daniel-mueller	2021-04-16
b6fe355	jens-daniel-mueller	2021-04-16
81b7c6d	jens-daniel-mueller	2021-04-16
ddec5b7	jens-daniel-mueller	2021-04-15
29edae5	jens-daniel-mueller	2021-04-14
9f31fe3	jens-daniel-mueller	2021-04-13
ea17c90	jens-daniel-mueller	2021-04-09
338dd3c	jens-daniel-mueller	2021-04-09
a79ca2c	jens-daniel-mueller	2021-04-09
eb827c9	jens-daniel-mueller	2021-04-07
ab5c8cf	jens-daniel-mueller	2021-03-24
03b6009	jens-daniel-mueller	2021-03-23
98d4a6d	jens-daniel-mueller	2021-03-23
83a13de	jens-daniel-mueller	2021-03-20
cf98c6d	jens-daniel-mueller	2021-03-16
a1d52ff	jens-daniel-mueller	2021-03-15
0bade3b	jens-daniel-mueller	2021-03-15
27c1f4b	jens-daniel-mueller	2021-03-14
af75ebf	jens-daniel-mueller	2021-03-14
5017709	jens-daniel-mueller	2021-03-11
585b07f	jens-daniel-mueller	2021-03-11
85a5ed2	jens-daniel-mueller	2021-03-10
6c0bec6	jens-daniel-mueller	2021-03-05
af70b94	jens-daniel-mueller	2021-03-04
7b672f7	jens-daniel-mueller	2021-01-11
33ba23c	jens-daniel-mueller	2021-01-07
318609d	jens-daniel-mueller	2020-12-23
9d0b2d0	jens-daniel-mueller	2020-12-23
0aa2b50	jens-daniel-mueller	2020-12-23
2886da0	jens-daniel-mueller	2020-12-19
02f0ee9	jens-daniel-mueller	2020-12-18
7bcb4eb	jens-daniel-mueller	2020-12-18
158fe26	jens-daniel-mueller	2020-12-15
7a9a4cb	jens-daniel-mueller	2020-12-15
61b263c	jens-daniel-mueller	2020-12-15
4d612dd	jens-daniel-mueller	2020-12-15
984697e	jens-daniel-mueller	2020-12-12
3ebff89	jens-daniel-mueller	2020-12-12
5d96d3c	jens-daniel-mueller	2020-12-11

[[2]]

Past versions of predictor_correlation_per_basin-2.png

Version	Author	Date
25bd183	jens-daniel-mueller	2021-05-26
62bd574	jens-daniel-mueller	2021-05-20
7c56c39	jens-daniel-mueller	2021-05-19
52e7583	jens-daniel-mueller	2021-05-12
969e631	jens-daniel-mueller	2021-05-12
d2a83bc	jens-daniel-mueller	2021-04-16
c0a47df	jens-daniel-mueller	2021-04-16
50290e8	jens-daniel-mueller	2021-04-16
a00ec94	jens-daniel-mueller	2021-04-16
b6fe355	jens-daniel-mueller	2021-04-16
81b7c6d	jens-daniel-mueller	2021-04-16
ddec5b7	jens-daniel-mueller	2021-04-15
29edae5	jens-daniel-mueller	2021-04-14
9f31fe3	jens-daniel-mueller	2021-04-13
ea17c90	jens-daniel-mueller	2021-04-09
338dd3c	jens-daniel-mueller	2021-04-09
a79ca2c	jens-daniel-mueller	2021-04-09
eb827c9	jens-daniel-mueller	2021-04-07
ab5c8cf	jens-daniel-mueller	2021-03-24
03b6009	jens-daniel-mueller	2021-03-23
98d4a6d	jens-daniel-mueller	2021-03-23
83a13de	jens-daniel-mueller	2021-03-20
cf98c6d	jens-daniel-mueller	2021-03-16
a1d52ff	jens-daniel-mueller	2021-03-15
0bade3b	jens-daniel-mueller	2021-03-15
27c1f4b	jens-daniel-mueller	2021-03-14
af75ebf	jens-daniel-mueller	2021-03-14
5017709	jens-daniel-mueller	2021-03-11
585b07f	jens-daniel-mueller	2021-03-11
85a5ed2	jens-daniel-mueller	2021-03-10
6c0bec6	jens-daniel-mueller	2021-03-05
af70b94	jens-daniel-mueller	2021-03-04
7b672f7	jens-daniel-mueller	2021-01-11
33ba23c	jens-daniel-mueller	2021-01-07
318609d	jens-daniel-mueller	2020-12-23
9d0b2d0	jens-daniel-mueller	2020-12-23
0aa2b50	jens-daniel-mueller	2020-12-23
2886da0	jens-daniel-mueller	2020-12-19
02f0ee9	jens-daniel-mueller	2020-12-18
7bcb4eb	jens-daniel-mueller	2020-12-18
158fe26	jens-daniel-mueller	2020-12-15
7a9a4cb	jens-daniel-mueller	2020-12-15
61b263c	jens-daniel-mueller	2020-12-15
4d612dd	jens-daniel-mueller	2020-12-15
984697e	jens-daniel-mueller	2020-12-12
3ebff89	jens-daniel-mueller	2020-12-12
5d96d3c	jens-daniel-mueller	2020-12-11

[[3]]

Past versions of predictor_correlation_per_basin-3.png

Version	Author	Date
25bd183	jens-daniel-mueller	2021-05-26
62bd574	jens-daniel-mueller	2021-05-20
7c56c39	jens-daniel-mueller	2021-05-19
52e7583	jens-daniel-mueller	2021-05-12
969e631	jens-daniel-mueller	2021-05-12
d2a83bc	jens-daniel-mueller	2021-04-16
c0a47df	jens-daniel-mueller	2021-04-16
50290e8	jens-daniel-mueller	2021-04-16
a00ec94	jens-daniel-mueller	2021-04-16
b6fe355	jens-daniel-mueller	2021-04-16
81b7c6d	jens-daniel-mueller	2021-04-16
ddec5b7	jens-daniel-mueller	2021-04-15
29edae5	jens-daniel-mueller	2021-04-14
099d566	jens-daniel-mueller	2021-04-14
bb44686	jens-daniel-mueller	2021-04-14
bf40480	jens-daniel-mueller	2021-04-13
9f31fe3	jens-daniel-mueller	2021-04-13
ea17c90	jens-daniel-mueller	2021-04-09
338dd3c	jens-daniel-mueller	2021-04-09
a79ca2c	jens-daniel-mueller	2021-04-09
eb827c9	jens-daniel-mueller	2021-04-07
ab5c8cf	jens-daniel-mueller	2021-03-24
0aa2b50	jens-daniel-mueller	2020-12-23
2886da0	jens-daniel-mueller	2020-12-19
02f0ee9	jens-daniel-mueller	2020-12-18
7bcb4eb	jens-daniel-mueller	2020-12-18
158fe26	jens-daniel-mueller	2020-12-15
7a9a4cb	jens-daniel-mueller	2020-12-15
61b263c	jens-daniel-mueller	2020-12-15
4d612dd	jens-daniel-mueller	2020-12-15
984697e	jens-daniel-mueller	2020-12-12
3ebff89	jens-daniel-mueller	2020-12-12
5d96d3c	jens-daniel-mueller	2020-12-11

[[4]]

Past versions of predictor_correlation_per_basin-4.png

Version	Author	Date
25bd183	jens-daniel-mueller	2021-05-26
62bd574	jens-daniel-mueller	2021-05-20
7c56c39	jens-daniel-mueller	2021-05-19
52e7583	jens-daniel-mueller	2021-05-12
969e631	jens-daniel-mueller	2021-05-12
d2a83bc	jens-daniel-mueller	2021-04-16
c0a47df	jens-daniel-mueller	2021-04-16
50290e8	jens-daniel-mueller	2021-04-16
a00ec94	jens-daniel-mueller	2021-04-16
b6fe355	jens-daniel-mueller	2021-04-16
81b7c6d	jens-daniel-mueller	2021-04-16
ddec5b7	jens-daniel-mueller	2021-04-15
29edae5	jens-daniel-mueller	2021-04-14
099d566	jens-daniel-mueller	2021-04-14
bb44686	jens-daniel-mueller	2021-04-14
bf40480	jens-daniel-mueller	2021-04-13
9f31fe3	jens-daniel-mueller	2021-04-13
ea17c90	jens-daniel-mueller	2021-04-09
338dd3c	jens-daniel-mueller	2021-04-09
a79ca2c	jens-daniel-mueller	2021-04-09
eb827c9	jens-daniel-mueller	2021-04-07
ab5c8cf	jens-daniel-mueller	2021-03-24
984697e	jens-daniel-mueller	2020-12-12
3ebff89	jens-daniel-mueller	2020-12-12
5d96d3c	jens-daniel-mueller	2020-12-11

GLODAP <- GLODAP %>%
  filter(data_source == "obs") %>%
  select(-data_source)

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

/nfs/kryo/work/jenmueller/emlr_cant/observations/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)[5]

      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()
      
    }
  }
}

}

2.2 Correlation assesment

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
25bd183	jens-daniel-mueller	2021-05-26
62bd574	jens-daniel-mueller	2021-05-20
7c56c39	jens-daniel-mueller	2021-05-19
52e7583	jens-daniel-mueller	2021-05-12
969e631	jens-daniel-mueller	2021-05-12
d2a83bc	jens-daniel-mueller	2021-04-16
c0a47df	jens-daniel-mueller	2021-04-16
50290e8	jens-daniel-mueller	2021-04-16
b6fe355	jens-daniel-mueller	2021-04-16
81b7c6d	jens-daniel-mueller	2021-04-16
ddec5b7	jens-daniel-mueller	2021-04-15
29edae5	jens-daniel-mueller	2021-04-14
099d566	jens-daniel-mueller	2021-04-14
bb44686	jens-daniel-mueller	2021-04-14
bf40480	jens-daniel-mueller	2021-04-13
9f31fe3	jens-daniel-mueller	2021-04-13
338dd3c	jens-daniel-mueller	2021-04-09
a79ca2c	jens-daniel-mueller	2021-04-09
eb827c9	jens-daniel-mueller	2021-04-07
19faa17	jens-daniel-mueller	2021-03-24
03b6009	jens-daniel-mueller	2021-03-23
98d4a6d	jens-daniel-mueller	2021-03-23
f155edd	jens-daniel-mueller	2021-03-23
83a13de	jens-daniel-mueller	2021-03-20
cf98c6d	jens-daniel-mueller	2021-03-16
a1d52ff	jens-daniel-mueller	2021-03-15
0bade3b	jens-daniel-mueller	2021-03-15
27c1f4b	jens-daniel-mueller	2021-03-14
af75ebf	jens-daniel-mueller	2021-03-14
5017709	jens-daniel-mueller	2021-03-11
585b07f	jens-daniel-mueller	2021-03-11
85a5ed2	jens-daniel-mueller	2021-03-10
6c0bec6	jens-daniel-mueller	2021-03-05
7b672f7	jens-daniel-mueller	2021-01-11
33ba23c	jens-daniel-mueller	2021-01-07
318609d	jens-daniel-mueller	2020-12-23
9d0b2d0	jens-daniel-mueller	2020-12-23
0aa2b50	jens-daniel-mueller	2020-12-23
2886da0	jens-daniel-mueller	2020-12-19
02f0ee9	jens-daniel-mueller	2020-12-18
158fe26	jens-daniel-mueller	2020-12-15
984697e	jens-daniel-mueller	2020-12-12
3ebff89	jens-daniel-mueller	2020-12-12
5d96d3c	jens-daniel-mueller	2020-12-11
24a632f	jens-daniel-mueller	2020-12-07
6a8004b	jens-daniel-mueller	2020-12-07
70bf1a5	jens-daniel-mueller	2020-12-07
7555355	jens-daniel-mueller	2020-12-07
143d6fa	jens-daniel-mueller	2020-12-07
0ff728b	jens-daniel-mueller	2020-12-01
91435ae	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

# 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]	0.8993730	0.8885367	0.9102092
aou + nitrate	Atlantic	(26,26.5]	0.8616309	0.8568734	0.8663885
aou + nitrate	Atlantic	(26.5,26.75]	0.9398057	0.9376146	0.9419969
aou + nitrate	Atlantic	(26.75,27]	0.9253103	0.9241592	0.9264615
aou + nitrate	Atlantic	(27,27.25]	0.8735001	0.8704157	0.8765846
aou + nitrate	Atlantic	(27.25,27.5]	0.7780149	0.7533747	0.8026550
aou + nitrate	Atlantic	(27.5,27.75]	0.8718670	0.8706856	0.8730484
aou + nitrate	Atlantic	(27.75,27.85]	0.9430703	0.9306298	0.9555108
aou + nitrate	Atlantic	(27.85,27.95]	0.9460112	0.9329024	0.9591200
aou + nitrate	Atlantic	(27.95,28.05]	0.9477022	0.9413352	0.9540691
aou + nitrate	Atlantic	(28.05,28.1]	0.9538015	0.9477285	0.9598746
aou + nitrate	Atlantic	(28.1,28.15]	0.9708257	0.9610346	0.9806167
aou + nitrate	Atlantic	(28.15,28.2]	0.9775857	0.9647381	0.9904334
aou + nitrate	Atlantic	(28.2, Inf]	0.8445235	0.8031860	0.8858611
aou + nitrate	Indo-Pacific	(-Inf,26]	0.8995320	0.8900122	0.9090517
aou + nitrate	Indo-Pacific	(26,26.5]	0.9001612	0.8968934	0.9034291
aou + nitrate	Indo-Pacific	(26.5,26.75]	0.9238796	0.9205198	0.9272394
aou + nitrate	Indo-Pacific	(26.75,27]	0.9465317	0.9431285	0.9499349
aou + nitrate	Indo-Pacific	(27,27.25]	0.9673634	0.9641156	0.9706112
aou + nitrate	Indo-Pacific	(27.25,27.5]	0.9728733	0.9725486	0.9731980
aou + nitrate	Indo-Pacific	(27.5,27.75]	0.9754859	0.9718677	0.9791042
aou + nitrate	Indo-Pacific	(27.75,27.85]	0.9827823	0.9792212	0.9863433
aou + nitrate	Indo-Pacific	(27.85,27.95]	0.9804507	0.9742942	0.9866071
aou + nitrate	Indo-Pacific	(27.95,28.05]	0.9672427	0.9583067	0.9761788
aou + nitrate	Indo-Pacific	(28.05,28.1]	0.9629495	0.9518849	0.9740141
aou + nitrate	Indo-Pacific	(28.1,28.2]	0.9304025	0.9117967	0.9490084
aou + nitrate	Indo-Pacific	(28.2,28.3]	0.3415687	0.2670487	0.4160887
aou + nitrate	Indo-Pacific	(28.3,28.4]	0.2175929	-0.0056036	0.4407893
aou + phosphate	Atlantic	(-Inf,26]	0.3596503	0.1082822	0.6110185
aou + phosphate	Atlantic	(26,26.5]	0.6555108	0.6550123	0.6560093
aou + phosphate	Atlantic	(26.5,26.75]	0.8565332	0.8547368	0.8583296
aou + phosphate	Atlantic	(26.75,27]	0.8570607	0.8548245	0.8592968
aou + phosphate	Atlantic	(27,27.25]	0.8167544	0.8095331	0.8239757
aou + phosphate	Atlantic	(27.25,27.5]	0.7239162	0.6865167	0.7613157
aou + phosphate	Atlantic	(27.5,27.75]	0.8471653	0.8454850	0.8488457
aou + phosphate	Atlantic	(27.75,27.85]	0.9302214	0.9127443	0.9476985
aou + phosphate	Atlantic	(27.85,27.95]	0.9391123	0.9248375	0.9533871
aou + phosphate	Atlantic	(27.95,28.05]	0.9429681	0.9354979	0.9504383
aou + phosphate	Atlantic	(28.05,28.1]	0.9469560	0.9409158	0.9529963
aou + phosphate	Atlantic	(28.1,28.15]	0.9668494	0.9571041	0.9765947
aou + phosphate	Atlantic	(28.15,28.2]	0.9772298	0.9642552	0.9902045
aou + phosphate	Atlantic	(28.2, Inf]	0.8422800	0.8012924	0.8832675
aou + phosphate	Indo-Pacific	(-Inf,26]	0.9217018	0.9045677	0.9388360
aou + phosphate	Indo-Pacific	(26,26.5]	0.9535211	0.9519641	0.9550781
aou + phosphate	Indo-Pacific	(26.5,26.75]	0.9548123	0.9522289	0.9573957
aou + phosphate	Indo-Pacific	(26.75,27]	0.9527109	0.9485408	0.9568810
aou + phosphate	Indo-Pacific	(27,27.25]	0.9732809	0.9680951	0.9784667
aou + phosphate	Indo-Pacific	(27.25,27.5]	0.9796357	0.9788960	0.9803754
aou + phosphate	Indo-Pacific	(27.5,27.75]	0.9807638	0.9806036	0.9809241
aou + phosphate	Indo-Pacific	(27.75,27.85]	0.9844203	0.9835235	0.9853172
aou + phosphate	Indo-Pacific	(27.85,27.95]	0.9815936	0.9776876	0.9854996
aou + phosphate	Indo-Pacific	(27.95,28.05]	0.9702785	0.9652694	0.9752875
aou + phosphate	Indo-Pacific	(28.05,28.1]	0.9631157	0.9553548	0.9708765
aou + phosphate	Indo-Pacific	(28.1,28.2]	0.9214110	0.9046402	0.9381818
aou + phosphate	Indo-Pacific	(28.2,28.3]	0.2245362	0.0208042	0.4282682
aou + phosphate	Indo-Pacific	(28.3,28.4]	0.2913664	0.0638833	0.5188495
aou + phosphate_star	Atlantic	(-Inf,26]	-0.4697241	-0.6074818	-0.3319665
aou + phosphate_star	Atlantic	(26,26.5]	0.1837109	0.1823045	0.1851173
aou + phosphate_star	Atlantic	(26.5,26.75]	0.4311096	0.4261488	0.4360703
aou + phosphate_star	Atlantic	(26.75,27]	0.2478166	0.2288807	0.2667524
aou + phosphate_star	Atlantic	(27,27.25]	0.2380075	0.1627354	0.3132796
aou + phosphate_star	Atlantic	(27.25,27.5]	0.2219752	0.1217105	0.3222400
aou + phosphate_star	Atlantic	(27.5,27.75]	0.5370597	0.5331099	0.5410095
aou + phosphate_star	Atlantic	(27.75,27.85]	0.6854624	0.6261025	0.7448223
aou + phosphate_star	Atlantic	(27.85,27.95]	0.6673104	0.6187065	0.7159144
aou + phosphate_star	Atlantic	(27.95,28.05]	0.7713525	0.7484281	0.7942770
aou + phosphate_star	Atlantic	(28.05,28.1]	0.8131243	0.7954986	0.8307500
aou + phosphate_star	Atlantic	(28.1,28.15]	0.8785822	0.8459324	0.9112319
aou + phosphate_star	Atlantic	(28.15,28.2]	0.9157145	0.8652685	0.9661605
aou + phosphate_star	Atlantic	(28.2, Inf]	0.5738770	0.4615252	0.6862287
aou + phosphate_star	Indo-Pacific	(-Inf,26]	0.6105543	0.5265894	0.6945192
aou + phosphate_star	Indo-Pacific	(26,26.5]	0.6461591	0.6391192	0.6531990
aou + phosphate_star	Indo-Pacific	(26.5,26.75]	0.5964988	0.5916885	0.6013091
aou + phosphate_star	Indo-Pacific	(26.75,27]	0.4929805	0.4864365	0.4995245
aou + phosphate_star	Indo-Pacific	(27,27.25]	0.1975209	0.1185213	0.2765206
aou + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.3949042	-0.4189116	-0.3708969
aou + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.6112807	-0.6435483	-0.5790130
aou + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.4918840	-0.5788940	-0.4048740
aou + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.1466944	-0.1898948	-0.1034941
aou + phosphate_star	Indo-Pacific	(27.95,28.05]	0.2187250	0.2034935	0.2339564
aou + phosphate_star	Indo-Pacific	(28.05,28.1]	0.4267904	0.3622598	0.4913210
aou + phosphate_star	Indo-Pacific	(28.1,28.2]	-0.0843446	-0.0855739	-0.0831153
aou + phosphate_star	Indo-Pacific	(28.2,28.3]	-0.7973324	-0.8268678	-0.7677969
aou + phosphate_star	Indo-Pacific	(28.3,28.4]	-0.8387817	-0.8509295	-0.8266340
aou + silicate	Atlantic	(-Inf,26]	0.0741815	-0.0860532	0.2344162
aou + silicate	Atlantic	(26,26.5]	0.5818827	0.5817964	0.5819691
aou + silicate	Atlantic	(26.5,26.75]	0.8082427	0.7487060	0.8677795
aou + silicate	Atlantic	(26.75,27]	0.8406853	0.8228203	0.8585503
aou + silicate	Atlantic	(27,27.25]	0.7764371	0.7634134	0.7894609
aou + silicate	Atlantic	(27.25,27.5]	0.5246504	0.4541577	0.5951432
aou + silicate	Atlantic	(27.5,27.75]	0.6523529	0.6147284	0.6899774
aou + silicate	Atlantic	(27.75,27.85]	0.8443071	0.8363867	0.8522276
aou + silicate	Atlantic	(27.85,27.95]	0.8786672	0.8613685	0.8959660
aou + silicate	Atlantic	(27.95,28.05]	0.9259964	0.9223223	0.9296705
aou + silicate	Atlantic	(28.05,28.1]	0.9552130	0.9513021	0.9591238
aou + silicate	Atlantic	(28.1,28.15]	0.9719425	0.9681759	0.9757090
aou + silicate	Atlantic	(28.15,28.2]	0.9854754	0.9787716	0.9921792
aou + silicate	Atlantic	(28.2, Inf]	0.8459789	0.7993967	0.8925611
aou + silicate	Indo-Pacific	(-Inf,26]	0.6857047	0.6803605	0.6910488
aou + silicate	Indo-Pacific	(26,26.5]	0.6605881	0.6242090	0.6969671
aou + silicate	Indo-Pacific	(26.5,26.75]	0.6887352	0.6767401	0.7007303
aou + silicate	Indo-Pacific	(26.75,27]	0.7687588	0.7518396	0.7856780
aou + silicate	Indo-Pacific	(27,27.25]	0.8969451	0.8866561	0.9072340
aou + silicate	Indo-Pacific	(27.25,27.5]	0.9256141	0.9148252	0.9364031
aou + silicate	Indo-Pacific	(27.5,27.75]	0.9452511	0.9381373	0.9523648
aou + silicate	Indo-Pacific	(27.75,27.85]	0.9725255	0.9705763	0.9744747
aou + silicate	Indo-Pacific	(27.85,27.95]	0.9676402	0.9657870	0.9694934
aou + silicate	Indo-Pacific	(27.95,28.05]	0.9535600	0.9493207	0.9577993
aou + silicate	Indo-Pacific	(28.05,28.1]	0.9545667	0.9538717	0.9552617
aou + silicate	Indo-Pacific	(28.1,28.2]	0.8832807	0.8815063	0.8850552
aou + silicate	Indo-Pacific	(28.2,28.3]	0.5598639	0.4688612	0.6508666
aou + silicate	Indo-Pacific	(28.3,28.4]	0.4411126	0.2956785	0.5865467
nitrate + phosphate	Atlantic	(-Inf,26]	0.6087076	0.4069093	0.8105059
nitrate + phosphate	Atlantic	(26,26.5]	0.9134053	0.9112268	0.9155837
nitrate + phosphate	Atlantic	(26.5,26.75]	0.9724362	0.9712600	0.9736124
nitrate + phosphate	Atlantic	(26.75,27]	0.9828126	0.9815650	0.9840601
nitrate + phosphate	Atlantic	(27,27.25]	0.9886512	0.9876039	0.9896986
nitrate + phosphate	Atlantic	(27.25,27.5]	0.9919008	0.9913988	0.9924028
nitrate + phosphate	Atlantic	(27.5,27.75]	0.9926608	0.9902137	0.9951080
nitrate + phosphate	Atlantic	(27.75,27.85]	0.9937240	0.9920637	0.9953843
nitrate + phosphate	Atlantic	(27.85,27.95]	0.9903849	0.9874154	0.9933545
nitrate + phosphate	Atlantic	(27.95,28.05]	0.9917075	0.9896167	0.9937983
nitrate + phosphate	Atlantic	(28.05,28.1]	0.9921169	0.9906769	0.9935569
nitrate + phosphate	Atlantic	(28.1,28.15]	0.9961360	0.9956770	0.9965951
nitrate + phosphate	Atlantic	(28.15,28.2]	0.9974012	0.9967622	0.9980401
nitrate + phosphate	Atlantic	(28.2, Inf]	0.9952474	0.9946906	0.9958041
nitrate + phosphate	Indo-Pacific	(-Inf,26]	0.9577539	0.9541281	0.9613797
nitrate + phosphate	Indo-Pacific	(26,26.5]	0.9554857	0.9525171	0.9584543
nitrate + phosphate	Indo-Pacific	(26.5,26.75]	0.9692190	0.9670810	0.9713570
nitrate + phosphate	Indo-Pacific	(26.75,27]	0.9879930	0.9876991	0.9882868
nitrate + phosphate	Indo-Pacific	(27,27.25]	0.9908601	0.9903914	0.9913288
nitrate + phosphate	Indo-Pacific	(27.25,27.5]	0.9927197	0.9925622	0.9928771
nitrate + phosphate	Indo-Pacific	(27.5,27.75]	0.9923298	0.9909167	0.9937429
nitrate + phosphate	Indo-Pacific	(27.75,27.85]	0.9919421	0.9902197	0.9936645
nitrate + phosphate	Indo-Pacific	(27.85,27.95]	0.9920068	0.9894015	0.9946120
nitrate + phosphate	Indo-Pacific	(27.95,28.05]	0.9873603	0.9815714	0.9931492
nitrate + phosphate	Indo-Pacific	(28.05,28.1]	0.9849395	0.9808934	0.9889856
nitrate + phosphate	Indo-Pacific	(28.1,28.2]	0.9707687	0.9658645	0.9756728
nitrate + phosphate	Indo-Pacific	(28.2,28.3]	0.5838982	0.5323056	0.6354908
nitrate + phosphate	Indo-Pacific	(28.3,28.4]	0.6779272	0.6587239	0.6971306
nitrate + phosphate_star	Atlantic	(-Inf,26]	-0.1546370	-0.2941794	-0.0150947
nitrate + phosphate_star	Atlantic	(26,26.5]	0.6129730	0.6099246	0.6160213
nitrate + phosphate_star	Atlantic	(26.5,26.75]	0.6967819	0.6864185	0.7071453
nitrate + phosphate_star	Atlantic	(26.75,27]	0.5866640	0.5688818	0.6044462
nitrate + phosphate_star	Atlantic	(27,27.25]	0.6701889	0.6104429	0.7299349
nitrate + phosphate_star	Atlantic	(27.25,27.5]	0.7755821	0.7361561	0.8150080
nitrate + phosphate_star	Atlantic	(27.5,27.75]	0.8670583	0.8645996	0.8695169
nitrate + phosphate_star	Atlantic	(27.75,27.85]	0.8749756	0.8548873	0.8950638
nitrate + phosphate_star	Atlantic	(27.85,27.95]	0.8533018	0.8376526	0.8689510
nitrate + phosphate_star	Atlantic	(27.95,28.05]	0.9184029	0.9102240	0.9265818
nitrate + phosphate_star	Atlantic	(28.05,28.1]	0.9375629	0.9326590	0.9424668
nitrate + phosphate_star	Atlantic	(28.1,28.15]	0.9599329	0.9524368	0.9674290
nitrate + phosphate_star	Atlantic	(28.15,28.2]	0.9743183	0.9604321	0.9882044
nitrate + phosphate_star	Atlantic	(28.2, Inf]	0.9140866	0.8901069	0.9380663
nitrate + phosphate_star	Indo-Pacific	(-Inf,26]	0.8486834	0.8053600	0.8920068
nitrate + phosphate_star	Indo-Pacific	(26,26.5]	0.8451038	0.8393370	0.8508705
nitrate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.7988306	0.7964520	0.8012093
nitrate + phosphate_star	Indo-Pacific	(26.75,27]	0.7161766	0.7123180	0.7200352
nitrate + phosphate_star	Indo-Pacific	(27,27.25]	0.4027592	0.3460122	0.4595062
nitrate + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.2046812	-0.2255381	-0.1838242
nitrate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.4485066	-0.4990788	-0.3979344
nitrate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.3553253	-0.4643993	-0.2462513
nitrate + phosphate_star	Indo-Pacific	(27.85,27.95]	0.0121540	-0.0565963	0.0809043
nitrate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.4130763	0.4120997	0.4140528
nitrate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.6120974	0.5806307	0.6435642
nitrate + phosphate_star	Indo-Pacific	(28.1,28.2]	0.2232468	0.1784666	0.2680269
nitrate + phosphate_star	Indo-Pacific	(28.2,28.3]	0.0701604	0.0252591	0.1150618
nitrate + phosphate_star	Indo-Pacific	(28.3,28.4]	0.1528311	-0.0509209	0.3565831
nitrate + silicate	Atlantic	(-Inf,26]	0.3403276	0.2227035	0.4579517
nitrate + silicate	Atlantic	(26,26.5]	0.8387488	0.8378263	0.8396714
nitrate + silicate	Atlantic	(26.5,26.75]	0.9152855	0.8629696	0.9676013
nitrate + silicate	Atlantic	(26.75,27]	0.9296613	0.9091560	0.9501666
nitrate + silicate	Atlantic	(27,27.25]	0.9352450	0.9314503	0.9390396
nitrate + silicate	Atlantic	(27.25,27.5]	0.8817822	0.8579692	0.9055952
nitrate + silicate	Atlantic	(27.5,27.75]	0.8837011	0.8691354	0.8982669
nitrate + silicate	Atlantic	(27.75,27.85]	0.9467012	0.9423996	0.9510028
nitrate + silicate	Atlantic	(27.85,27.95]	0.9676464	0.9666904	0.9686023
nitrate + silicate	Atlantic	(27.95,28.05]	0.9804534	0.9794012	0.9815056
nitrate + silicate	Atlantic	(28.05,28.1]	0.9887203	0.9881900	0.9892506
nitrate + silicate	Atlantic	(28.1,28.15]	0.9911283	0.9902442	0.9920124
nitrate + silicate	Atlantic	(28.15,28.2]	0.9917716	0.9880999	0.9954433
nitrate + silicate	Atlantic	(28.2, Inf]	0.9779970	0.9740911	0.9819028
nitrate + silicate	Indo-Pacific	(-Inf,26]	0.8640604	0.8638286	0.8642923
nitrate + silicate	Indo-Pacific	(26,26.5]	0.8275048	0.8173459	0.8376637
nitrate + silicate	Indo-Pacific	(26.5,26.75]	0.8357122	0.8292256	0.8421988
nitrate + silicate	Indo-Pacific	(26.75,27]	0.8482888	0.8348489	0.8617288
nitrate + silicate	Indo-Pacific	(27,27.25]	0.9046575	0.8876576	0.9216575
nitrate + silicate	Indo-Pacific	(27.25,27.5]	0.8981121	0.8777067	0.9185175
nitrate + silicate	Indo-Pacific	(27.5,27.75]	0.9097832	0.8998572	0.9197091
nitrate + silicate	Indo-Pacific	(27.75,27.85]	0.9553798	0.9540990	0.9566606
nitrate + silicate	Indo-Pacific	(27.85,27.95]	0.9645397	0.9620226	0.9670568
nitrate + silicate	Indo-Pacific	(27.95,28.05]	0.9532507	0.9397630	0.9667383
nitrate + silicate	Indo-Pacific	(28.05,28.1]	0.9560182	0.9487829	0.9632534
nitrate + silicate	Indo-Pacific	(28.1,28.2]	0.9105552	0.8990645	0.9220459
nitrate + silicate	Indo-Pacific	(28.2,28.3]	0.4996163	0.4574838	0.5417488
nitrate + silicate	Indo-Pacific	(28.3,28.4]	0.7129061	0.7039657	0.7218465
phosphate + phosphate_star	Atlantic	(-Inf,26]	0.6208747	0.5295054	0.7122440
phosphate + phosphate_star	Atlantic	(26,26.5]	0.8606507	0.8596392	0.8616621
phosphate + phosphate_star	Atlantic	(26.5,26.75]	0.8337220	0.8281434	0.8393006
phosphate + phosphate_star	Atlantic	(26.75,27]	0.7109278	0.7003545	0.7215011
phosphate + phosphate_star	Atlantic	(27,27.25]	0.7530507	0.7105254	0.7955760
phosphate + phosphate_star	Atlantic	(27.25,27.5]	0.8309875	0.8037573	0.8582177
phosphate + phosphate_star	Atlantic	(27.5,27.75]	0.9002526	0.8997541	0.9007511
phosphate + phosphate_star	Atlantic	(27.75,27.85]	0.9022797	0.8879605	0.9165988
phosphate + phosphate_star	Atlantic	(27.85,27.95]	0.8802208	0.8687331	0.8917084
phosphate + phosphate_star	Atlantic	(27.95,28.05]	0.9373109	0.9324523	0.9421695
phosphate + phosphate_star	Atlantic	(28.05,28.1]	0.9559601	0.9526642	0.9592560
phosphate + phosphate_star	Atlantic	(28.1,28.15]	0.9707399	0.9635878	0.9778920
phosphate + phosphate_star	Atlantic	(28.15,28.2]	0.9795427	0.9667844	0.9923011
phosphate + phosphate_star	Atlantic	(28.2, Inf]	0.9227258	0.8993649	0.9460868
phosphate + phosphate_star	Indo-Pacific	(-Inf,26]	0.8521529	0.8197990	0.8845068
phosphate + phosphate_star	Indo-Pacific	(26,26.5]	0.8436643	0.8416699	0.8456586
phosphate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.8062329	0.8046527	0.8078132
phosphate + phosphate_star	Indo-Pacific	(26.75,27]	0.7319283	0.7275877	0.7362690
phosphate + phosphate_star	Indo-Pacific	(27,27.25]	0.4118250	0.3601023	0.4635476
phosphate + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.2136032	-0.2330874	-0.1941190
phosphate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.4590429	-0.4977890	-0.4202969
phosphate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.3420391	-0.4424460	-0.2416321
phosphate + phosphate_star	Indo-Pacific	(27.85,27.95]	0.0353720	-0.0291231	0.0998671
phosphate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.4427904	0.4381884	0.4473924
phosphate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.6510249	0.6188367	0.6832131
phosphate + phosphate_star	Indo-Pacific	(28.1,28.2]	0.3030185	0.2605906	0.3454464
phosphate + phosphate_star	Indo-Pacific	(28.2,28.3]	0.3834257	0.2414058	0.5254455
phosphate + phosphate_star	Indo-Pacific	(28.3,28.4]	0.2585790	0.0495039	0.4676541
sal + aou	Atlantic	(-Inf,26]	0.3954918	0.2462661	0.5447176
sal + aou	Atlantic	(26,26.5]	-0.0717422	-0.0941269	-0.0493576
sal + aou	Atlantic	(26.5,26.75]	-0.3219294	-0.3252642	-0.3185945
sal + aou	Atlantic	(26.75,27]	-0.1999273	-0.2110902	-0.1887643
sal + aou	Atlantic	(27,27.25]	-0.2488909	-0.3243942	-0.1733875
sal + aou	Atlantic	(27.25,27.5]	-0.2002969	-0.2951871	-0.1054066
sal + aou	Atlantic	(27.5,27.75]	-0.3804113	-0.4063521	-0.3544704
sal + aou	Atlantic	(27.75,27.85]	-0.3994046	-0.4610646	-0.3377445
sal + aou	Atlantic	(27.85,27.95]	-0.3261637	-0.3874581	-0.2648693
sal + aou	Atlantic	(27.95,28.05]	-0.5819704	-0.6186902	-0.5452506
sal + aou	Atlantic	(28.05,28.1]	-0.6689741	-0.6927211	-0.6452270
sal + aou	Atlantic	(28.1,28.15]	-0.7803349	-0.8192473	-0.7414225
sal + aou	Atlantic	(28.15,28.2]	-0.8569973	-0.9348596	-0.7791350
sal + aou	Atlantic	(28.2, Inf]	-0.6238223	-0.6992362	-0.5484085
sal + aou	Indo-Pacific	(-Inf,26]	-0.0666050	-0.0821837	-0.0510264
sal + aou	Indo-Pacific	(26,26.5]	-0.2584087	-0.2651019	-0.2517154
sal + aou	Indo-Pacific	(26.5,26.75]	-0.3720506	-0.3852598	-0.3588415
sal + aou	Indo-Pacific	(26.75,27]	-0.3459834	-0.3562637	-0.3357032
sal + aou	Indo-Pacific	(27,27.25]	-0.2027819	-0.2580650	-0.1474989
sal + aou	Indo-Pacific	(27.25,27.5]	0.0274539	-0.0455009	0.1004086
sal + aou	Indo-Pacific	(27.5,27.75]	-0.0565261	-0.1046311	-0.0084211
sal + aou	Indo-Pacific	(27.75,27.85]	-0.2590451	-0.2762374	-0.2418529
sal + aou	Indo-Pacific	(27.85,27.95]	-0.3952793	-0.4608860	-0.3296726
sal + aou	Indo-Pacific	(27.95,28.05]	-0.4468407	-0.5202120	-0.3734694
sal + aou	Indo-Pacific	(28.05,28.1]	-0.5080599	-0.6481025	-0.3680173
sal + aou	Indo-Pacific	(28.1,28.2]	-0.1755996	-0.3233632	-0.0278359
sal + aou	Indo-Pacific	(28.2,28.3]	0.8578628	0.8473885	0.8683371
sal + aou	Indo-Pacific	(28.3,28.4]	0.8215938	0.7690624	0.8741252
sal + nitrate	Atlantic	(-Inf,26]	0.1212363	0.0157012	0.2267714
sal + nitrate	Atlantic	(26,26.5]	-0.4764578	-0.4796399	-0.4732758
sal + nitrate	Atlantic	(26.5,26.75]	-0.5893422	-0.5974739	-0.5812105
sal + nitrate	Atlantic	(26.75,27]	-0.5338999	-0.5435840	-0.5242157
sal + nitrate	Atlantic	(27,27.25]	-0.6660547	-0.7250056	-0.6071039
sal + nitrate	Atlantic	(27.25,27.5]	-0.7378301	-0.7816163	-0.6940438
sal + nitrate	Atlantic	(27.5,27.75]	-0.7107866	-0.7370844	-0.6844887
sal + nitrate	Atlantic	(27.75,27.85]	-0.6102386	-0.6211071	-0.5993701
sal + nitrate	Atlantic	(27.85,27.95]	-0.5576532	-0.5830437	-0.5322628
sal + nitrate	Atlantic	(27.95,28.05]	-0.7615557	-0.7736590	-0.7494525
sal + nitrate	Atlantic	(28.05,28.1]	-0.8257024	-0.8330004	-0.8184044
sal + nitrate	Atlantic	(28.1,28.15]	-0.8807413	-0.8892997	-0.8721828
sal + nitrate	Atlantic	(28.15,28.2]	-0.9257951	-0.9542716	-0.8973186
sal + nitrate	Atlantic	(28.2, Inf]	-0.9261444	-0.9356953	-0.9165936
sal + nitrate	Indo-Pacific	(-Inf,26]	-0.3558677	-0.3708021	-0.3409333
sal + nitrate	Indo-Pacific	(26,26.5]	-0.5699106	-0.5707062	-0.5691150
sal + nitrate	Indo-Pacific	(26.5,26.75]	-0.6396116	-0.6529113	-0.6263120
sal + nitrate	Indo-Pacific	(26.75,27]	-0.5723559	-0.5918399	-0.5528719
sal + nitrate	Indo-Pacific	(27,27.25]	-0.3497564	-0.3772814	-0.3222313
sal + nitrate	Indo-Pacific	(27.25,27.5]	-0.0470471	-0.0827522	-0.0113421
sal + nitrate	Indo-Pacific	(27.5,27.75]	-0.1266628	-0.1291121	-0.1242135
sal + nitrate	Indo-Pacific	(27.75,27.85]	-0.3320036	-0.3771267	-0.2868805
sal + nitrate	Indo-Pacific	(27.85,27.95]	-0.4903034	-0.5182503	-0.4623565
sal + nitrate	Indo-Pacific	(27.95,28.05]	-0.5947949	-0.6363882	-0.5532016
sal + nitrate	Indo-Pacific	(28.05,28.1]	-0.6747741	-0.7654173	-0.5841310
sal + nitrate	Indo-Pacific	(28.1,28.2]	-0.4419298	-0.5386703	-0.3451893
sal + nitrate	Indo-Pacific	(28.2,28.3]	0.1428655	0.0196352	0.2660957
sal + nitrate	Indo-Pacific	(28.3,28.4]	0.0533531	-0.1957543	0.3024605
sal + phosphate	Atlantic	(-Inf,26]	-0.5219551	-0.5694228	-0.4744874
sal + phosphate	Atlantic	(26,26.5]	-0.7668228	-0.7757120	-0.7579335
sal + phosphate	Atlantic	(26.5,26.75]	-0.7462551	-0.7521116	-0.7403986
sal + phosphate	Atlantic	(26.75,27]	-0.6647979	-0.6681360	-0.6614598
sal + phosphate	Atlantic	(27,27.25]	-0.7475059	-0.7883102	-0.7067016
sal + phosphate	Atlantic	(27.25,27.5]	-0.7926123	-0.8213359	-0.7638887
sal + phosphate	Atlantic	(27.5,27.75]	-0.7535660	-0.7755067	-0.7316252
sal + phosphate	Atlantic	(27.75,27.85]	-0.6467223	-0.6588864	-0.6345583
sal + phosphate	Atlantic	(27.85,27.95]	-0.5772090	-0.6081700	-0.5462480
sal + phosphate	Atlantic	(27.95,28.05]	-0.7748333	-0.7899761	-0.7596904
sal + phosphate	Atlantic	(28.05,28.1]	-0.8402575	-0.8490502	-0.8314649
sal + phosphate	Atlantic	(28.1,28.15]	-0.8937119	-0.9042010	-0.8832228
sal + phosphate	Atlantic	(28.15,28.2]	-0.9313089	-0.9598666	-0.9027512
sal + phosphate	Atlantic	(28.2, Inf]	-0.9306764	-0.9395544	-0.9217985
sal + phosphate	Indo-Pacific	(-Inf,26]	-0.1791533	-0.1975944	-0.1607123
sal + phosphate	Indo-Pacific	(26,26.5]	-0.4831733	-0.5004951	-0.4658514
sal + phosphate	Indo-Pacific	(26.5,26.75]	-0.5973743	-0.6132974	-0.5814511
sal + phosphate	Indo-Pacific	(26.75,27]	-0.5789533	-0.5989884	-0.5589183
sal + phosphate	Indo-Pacific	(27,27.25]	-0.3561627	-0.3812802	-0.3310451
sal + phosphate	Indo-Pacific	(27.25,27.5]	-0.0317279	-0.0705996	0.0071438
sal + phosphate	Indo-Pacific	(27.5,27.75]	-0.0841590	-0.0980711	-0.0702469
sal + phosphate	Indo-Pacific	(27.75,27.85]	-0.2844220	-0.3163879	-0.2524561
sal + phosphate	Indo-Pacific	(27.85,27.95]	-0.4639577	-0.5023305	-0.4255849
sal + phosphate	Indo-Pacific	(27.95,28.05]	-0.5873057	-0.6363120	-0.5382993
sal + phosphate	Indo-Pacific	(28.05,28.1]	-0.6682699	-0.7651532	-0.5713867
sal + phosphate	Indo-Pacific	(28.1,28.2]	-0.4429692	-0.5455132	-0.3404253
sal + phosphate	Indo-Pacific	(28.2,28.3]	0.0327184	-0.2270413	0.2924782
sal + phosphate	Indo-Pacific	(28.3,28.4]	0.1050501	-0.1623827	0.3724830
sal + phosphate_star	Atlantic	(-Inf,26]	-0.8937154	-0.9057678	-0.8816630
sal + phosphate_star	Atlantic	(26,26.5]	-0.9626886	-0.9649171	-0.9604601
sal + phosphate_star	Atlantic	(26.5,26.75]	-0.9727714	-0.9765172	-0.9690256
sal + phosphate_star	Atlantic	(26.75,27]	-0.9818861	-0.9838439	-0.9799282
sal + phosphate_star	Atlantic	(27,27.25]	-0.9820618	-0.9830230	-0.9811005
sal + phosphate_star	Atlantic	(27.25,27.5]	-0.9703127	-0.9733057	-0.9673198
sal + phosphate_star	Atlantic	(27.5,27.75]	-0.9192105	-0.9283854	-0.9100356
sal + phosphate_star	Atlantic	(27.75,27.85]	-0.8608015	-0.8700906	-0.8515124
sal + phosphate_star	Atlantic	(27.85,27.95]	-0.8385338	-0.8540975	-0.8229702
sal + phosphate_star	Atlantic	(27.95,28.05]	-0.9034537	-0.9073223	-0.8995851
sal + phosphate_star	Atlantic	(28.05,28.1]	-0.9351917	-0.9388920	-0.9314915
sal + phosphate_star	Atlantic	(28.1,28.15]	-0.9576686	-0.9578514	-0.9574857
sal + phosphate_star	Atlantic	(28.15,28.2]	-0.9709626	-0.9741943	-0.9677309
sal + phosphate_star	Atlantic	(28.2, Inf]	-0.9762508	-0.9798457	-0.9726558
sal + phosphate_star	Indo-Pacific	(-Inf,26]	-0.4588164	-0.5071572	-0.4104756
sal + phosphate_star	Indo-Pacific	(26,26.5]	-0.8101862	-0.8312887	-0.7890838
sal + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.9106337	-0.9135276	-0.9077398
sal + phosphate_star	Indo-Pacific	(26.75,27]	-0.9221547	-0.9276667	-0.9166427
sal + phosphate_star	Indo-Pacific	(27,27.25]	-0.8239512	-0.8470684	-0.8008339
sal + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.5075050	-0.6303475	-0.3846625
sal + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.2634083	-0.4317679	-0.0950487
sal + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.2464555	-0.3243795	-0.1685315
sal + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.4724578	-0.5952462	-0.3496695
sal + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.7736831	-0.8063240	-0.7410421
sal + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.8624586	-0.8757549	-0.8491622
sal + phosphate_star	Indo-Pacific	(28.1,28.2]	-0.7509865	-0.7858798	-0.7160932
sal + phosphate_star	Indo-Pacific	(28.2,28.3]	-0.7844648	-0.8541054	-0.7148242
sal + phosphate_star	Indo-Pacific	(28.3,28.4]	-0.7594076	-0.8600786	-0.6587366
sal + silicate	Atlantic	(-Inf,26]	-0.7400384	-0.7535041	-0.7265727
sal + silicate	Atlantic	(26,26.5]	-0.7306766	-0.7459767	-0.7153765
sal + silicate	Atlantic	(26.5,26.75]	-0.6801875	-0.6831965	-0.6771785
sal + silicate	Atlantic	(26.75,27]	-0.5583109	-0.5601711	-0.5564506
sal + silicate	Atlantic	(27,27.25]	-0.7096778	-0.7473412	-0.6720144
sal + silicate	Atlantic	(27.25,27.5]	-0.8137707	-0.8353034	-0.7922381
sal + silicate	Atlantic	(27.5,27.75]	-0.7470084	-0.7809765	-0.7130403
sal + silicate	Atlantic	(27.75,27.85]	-0.6811050	-0.7174361	-0.6447738
sal + silicate	Atlantic	(27.85,27.95]	-0.6599926	-0.6917100	-0.6282752
sal + silicate	Atlantic	(27.95,28.05]	-0.8071639	-0.8279774	-0.7863504
sal + silicate	Atlantic	(28.05,28.1]	-0.8351853	-0.8479123	-0.8224583
sal + silicate	Atlantic	(28.1,28.15]	-0.8821954	-0.9038279	-0.8605628
sal + silicate	Atlantic	(28.15,28.2]	-0.8967757	-0.9442434	-0.8493081
sal + silicate	Atlantic	(28.2, Inf]	-0.8884979	-0.8952332	-0.8817626
sal + silicate	Indo-Pacific	(-Inf,26]	-0.5665042	-0.5863932	-0.5466153
sal + silicate	Indo-Pacific	(26,26.5]	-0.6885872	-0.7251906	-0.6519838
sal + silicate	Indo-Pacific	(26.5,26.75]	-0.8097201	-0.8166903	-0.8027499
sal + silicate	Indo-Pacific	(26.75,27]	-0.7638036	-0.7777591	-0.7498481
sal + silicate	Indo-Pacific	(27,27.25]	-0.5267144	-0.5803860	-0.4730428
sal + silicate	Indo-Pacific	(27.25,27.5]	-0.2068558	-0.2888448	-0.1248667
sal + silicate	Indo-Pacific	(27.5,27.75]	-0.1053565	-0.1401727	-0.0705402
sal + silicate	Indo-Pacific	(27.75,27.85]	-0.2886061	-0.3040942	-0.2731180
sal + silicate	Indo-Pacific	(27.85,27.95]	-0.4178663	-0.4518052	-0.3839274
sal + silicate	Indo-Pacific	(27.95,28.05]	-0.4894224	-0.5361199	-0.4427248
sal + silicate	Indo-Pacific	(28.05,28.1]	-0.5707065	-0.6788054	-0.4626076
sal + silicate	Indo-Pacific	(28.1,28.2]	-0.2705261	-0.4099499	-0.1311023
sal + silicate	Indo-Pacific	(28.2,28.3]	0.5512084	0.4657754	0.6366415
sal + silicate	Indo-Pacific	(28.3,28.4]	0.2300268	0.0519373	0.4081162
sal + temp	Atlantic	(-Inf,26]	0.9170998	0.8865719	0.9476277
sal + temp	Atlantic	(26,26.5]	0.9687990	0.9678258	0.9697721
sal + temp	Atlantic	(26.5,26.75]	0.9897806	0.9892941	0.9902672
sal + temp	Atlantic	(26.75,27]	0.9816126	0.9808680	0.9823572
sal + temp	Atlantic	(27,27.25]	0.9805019	0.9788081	0.9821957
sal + temp	Atlantic	(27.25,27.5]	0.9752513	0.9730337	0.9774688
sal + temp	Atlantic	(27.5,27.75]	0.9670347	0.9629537	0.9711156
sal + temp	Atlantic	(27.75,27.85]	0.9805520	0.9786900	0.9824141
sal + temp	Atlantic	(27.85,27.95]	0.9450195	0.9432308	0.9468082
sal + temp	Atlantic	(27.95,28.05]	0.9295043	0.9281767	0.9308319
sal + temp	Atlantic	(28.05,28.1]	0.9678206	0.9676760	0.9679653
sal + temp	Atlantic	(28.1,28.15]	0.9631455	0.9620675	0.9642236
sal + temp	Atlantic	(28.15,28.2]	0.8931372	0.8785679	0.9077064
sal + temp	Atlantic	(28.2, Inf]	0.2818663	0.1650707	0.3986620
sal + temp	Indo-Pacific	(-Inf,26]	0.7162867	0.6982399	0.7343335
sal + temp	Indo-Pacific	(26,26.5]	0.9379959	0.9295085	0.9464833
sal + temp	Indo-Pacific	(26.5,26.75]	0.9820283	0.9810072	0.9830493
sal + temp	Indo-Pacific	(26.75,27]	0.9775718	0.9758877	0.9792559
sal + temp	Indo-Pacific	(27,27.25]	0.9371319	0.9292050	0.9450588
sal + temp	Indo-Pacific	(27.25,27.5]	0.8287850	0.8006107	0.8569594
sal + temp	Indo-Pacific	(27.5,27.75]	0.6008256	0.5087746	0.6928765
sal + temp	Indo-Pacific	(27.75,27.85]	0.7970746	0.7706885	0.8234607
sal + temp	Indo-Pacific	(27.85,27.95]	0.7054111	0.6419653	0.7688569
sal + temp	Indo-Pacific	(27.95,28.05]	0.6830762	0.6167190	0.7494333
sal + temp	Indo-Pacific	(28.05,28.1]	0.6606147	0.5478768	0.7733527
sal + temp	Indo-Pacific	(28.1,28.2]	0.3455164	0.1571611	0.5338717
sal + temp	Indo-Pacific	(28.2,28.3]	0.8214481	0.7751364	0.8677599
sal + temp	Indo-Pacific	(28.3,28.4]	0.8125054	0.7672489	0.8577618
silicate + phosphate	Atlantic	(-Inf,26]	0.7384347	0.6864052	0.7904643
silicate + phosphate	Atlantic	(26,26.5]	0.9176409	0.9038101	0.9314717
silicate + phosphate	Atlantic	(26.5,26.75]	0.9259596	0.8786445	0.9732747
silicate + phosphate	Atlantic	(26.75,27]	0.9342741	0.9145626	0.9539855
silicate + phosphate	Atlantic	(27,27.25]	0.9506912	0.9501986	0.9511838
silicate + phosphate	Atlantic	(27.25,27.5]	0.9094136	0.8932589	0.9255682
silicate + phosphate	Atlantic	(27.5,27.75]	0.9025456	0.8894416	0.9156496
silicate + phosphate	Atlantic	(27.75,27.85]	0.9541811	0.9517877	0.9565745
silicate + phosphate	Atlantic	(27.85,27.95]	0.9700419	0.9677455	0.9723383
silicate + phosphate	Atlantic	(27.95,28.05]	0.9812179	0.9799386	0.9824973
silicate + phosphate	Atlantic	(28.05,28.1]	0.9877822	0.9862785	0.9892859
silicate + phosphate	Atlantic	(28.1,28.15]	0.9924300	0.9909547	0.9939053
silicate + phosphate	Atlantic	(28.15,28.2]	0.9905620	0.9860520	0.9950719
silicate + phosphate	Atlantic	(28.2, Inf]	0.9770011	0.9727833	0.9812188
silicate + phosphate	Indo-Pacific	(-Inf,26]	0.7505463	0.7489257	0.7521669
silicate + phosphate	Indo-Pacific	(26,26.5]	0.7583065	0.7308641	0.7857488
silicate + phosphate	Indo-Pacific	(26.5,26.75]	0.8024904	0.7894888	0.8154919
silicate + phosphate	Indo-Pacific	(26.75,27]	0.8516980	0.8354149	0.8679811
silicate + phosphate	Indo-Pacific	(27,27.25]	0.9122538	0.8944403	0.9300673
silicate + phosphate	Indo-Pacific	(27.25,27.5]	0.9039919	0.8825030	0.9254807
silicate + phosphate	Indo-Pacific	(27.5,27.75]	0.9096290	0.8948885	0.9243694
silicate + phosphate	Indo-Pacific	(27.75,27.85]	0.9568541	0.9527669	0.9609412
silicate + phosphate	Indo-Pacific	(27.85,27.95]	0.9686792	0.9685558	0.9688025
silicate + phosphate	Indo-Pacific	(27.95,28.05]	0.9625250	0.9595607	0.9654892
silicate + phosphate	Indo-Pacific	(28.05,28.1]	0.9592308	0.9576473	0.9608144
silicate + phosphate	Indo-Pacific	(28.1,28.2]	0.8995809	0.8915744	0.9075875
silicate + phosphate	Indo-Pacific	(28.2,28.3]	0.3898519	0.2498047	0.5298992
silicate + phosphate	Indo-Pacific	(28.3,28.4]	0.6462452	0.6462155	0.6462749
silicate + phosphate_star	Atlantic	(-Inf,26]	0.6898087	0.6452316	0.7343858
silicate + phosphate_star	Atlantic	(26,26.5]	0.8054439	0.7878853	0.8230024
silicate + phosphate_star	Atlantic	(26.5,26.75]	0.7638742	0.7485636	0.7791849
silicate + phosphate_star	Atlantic	(26.75,27]	0.6117757	0.6105069	0.6130445
silicate + phosphate_star	Atlantic	(27,27.25]	0.7194245	0.6852507	0.7535983
silicate + phosphate_star	Atlantic	(27.25,27.5]	0.8712781	0.8559445	0.8866117
silicate + phosphate_star	Atlantic	(27.5,27.75]	0.9081958	0.8984530	0.9179386
silicate + phosphate_star	Atlantic	(27.75,27.85]	0.9162321	0.8927884	0.9396758
silicate + phosphate_star	Atlantic	(27.85,27.95]	0.9085623	0.8953832	0.9217414
silicate + phosphate_star	Atlantic	(27.95,28.05]	0.9302731	0.9201677	0.9403786
silicate + phosphate_star	Atlantic	(28.05,28.1]	0.9317963	0.9242968	0.9392959
silicate + phosphate_star	Atlantic	(28.1,28.15]	0.9537369	0.9382552	0.9692186
silicate + phosphate_star	Atlantic	(28.15,28.2]	0.9536018	0.9261391	0.9810645
silicate + phosphate_star	Atlantic	(28.2, Inf]	0.8873189	0.8628795	0.9117583
silicate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7498692	0.7131422	0.7865963
silicate + phosphate_star	Indo-Pacific	(26,26.5]	0.7905679	0.7837685	0.7973672
silicate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.8382593	0.8376121	0.8389066
silicate + phosphate_star	Indo-Pacific	(26.75,27]	0.7633403	0.7568108	0.7698697
silicate + phosphate_star	Indo-Pacific	(27,27.25]	0.4099103	0.3622723	0.4575483
silicate + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.2741960	-0.2762226	-0.2721694
silicate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.5620118	-0.6084743	-0.5155493
silicate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.4444988	-0.5370071	-0.3519905
silicate + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.0179761	-0.0795014	0.0435491
silicate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.3819136	0.3775900	0.3862371
silicate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.5563184	0.5014088	0.6112280
silicate + phosphate_star	Indo-Pacific	(28.1,28.2]	0.1773672	0.1735640	0.1811703
silicate + phosphate_star	Indo-Pacific	(28.2,28.3]	-0.2375703	-0.2909672	-0.1841734
silicate + phosphate_star	Indo-Pacific	(28.3,28.4]	-0.0732824	-0.2398605	0.0932957
temp + aou	Atlantic	(-Inf,26]	0.3615195	0.2181185	0.5049204
temp + aou	Atlantic	(26,26.5]	-0.1240721	-0.1270423	-0.1211019
temp + aou	Atlantic	(26.5,26.75]	-0.3335390	-0.3358210	-0.3312569
temp + aou	Atlantic	(26.75,27]	-0.1851674	-0.1882938	-0.1820410
temp + aou	Atlantic	(27,27.25]	-0.1876371	-0.2673828	-0.1078913
temp + aou	Atlantic	(27.25,27.5]	-0.1579055	-0.2633296	-0.0524814
temp + aou	Atlantic	(27.5,27.75]	-0.3451975	-0.3520762	-0.3383187
temp + aou	Atlantic	(27.75,27.85]	-0.3937798	-0.4458327	-0.3417269
temp + aou	Atlantic	(27.85,27.95]	-0.3089728	-0.3682788	-0.2496668
temp + aou	Atlantic	(27.95,28.05]	-0.5008934	-0.5100228	-0.4917640
temp + aou	Atlantic	(28.05,28.1]	-0.5352463	-0.5641080	-0.5063847
temp + aou	Atlantic	(28.1,28.15]	-0.6323113	-0.6815089	-0.5831136
temp + aou	Atlantic	(28.15,28.2]	-0.6132743	-0.7664852	-0.4600634
temp + aou	Atlantic	(28.2, Inf]	0.3933228	0.3927233	0.3939222
temp + aou	Indo-Pacific	(-Inf,26]	-0.2725977	-0.3525022	-0.1926932
temp + aou	Indo-Pacific	(26,26.5]	-0.3179838	-0.3223951	-0.3135724
temp + aou	Indo-Pacific	(26.5,26.75]	-0.3421740	-0.3535099	-0.3308382
temp + aou	Indo-Pacific	(26.75,27]	-0.3396666	-0.3523433	-0.3269899
temp + aou	Indo-Pacific	(27,27.25]	-0.2608929	-0.3313726	-0.1904132
temp + aou	Indo-Pacific	(27.25,27.5]	-0.0240389	-0.0867412	0.0386633
temp + aou	Indo-Pacific	(27.5,27.75]	0.0133162	0.0036823	0.0229501
temp + aou	Indo-Pacific	(27.75,27.85]	-0.0711216	-0.1333751	-0.0088681
temp + aou	Indo-Pacific	(27.85,27.95]	-0.0588243	-0.0784507	-0.0391980
temp + aou	Indo-Pacific	(27.95,28.05]	0.0455024	0.0279189	0.0630860
temp + aou	Indo-Pacific	(28.05,28.1]	0.1541485	0.1174132	0.1908838
temp + aou	Indo-Pacific	(28.1,28.2]	0.7419404	0.7144988	0.7693820
temp + aou	Indo-Pacific	(28.2,28.3]	0.7939850	0.7394855	0.8484846
temp + aou	Indo-Pacific	(28.3,28.4]	0.9528431	0.9431488	0.9625373
temp + nitrate	Atlantic	(-Inf,26]	0.1358015	0.0023072	0.2692959
temp + nitrate	Atlantic	(26,26.5]	-0.5519714	-0.5554529	-0.5484899
temp + nitrate	Atlantic	(26.5,26.75]	-0.6055665	-0.6170835	-0.5940495
temp + nitrate	Atlantic	(26.75,27]	-0.5284436	-0.5327288	-0.5241585
temp + nitrate	Atlantic	(27,27.25]	-0.6233777	-0.6870011	-0.5597542
temp + nitrate	Atlantic	(27.25,27.5]	-0.7077908	-0.7589842	-0.6565974
temp + nitrate	Atlantic	(27.5,27.75]	-0.6842396	-0.6934877	-0.6749916
temp + nitrate	Atlantic	(27.75,27.85]	-0.6156368	-0.6197827	-0.6114908
temp + nitrate	Atlantic	(27.85,27.95]	-0.5446443	-0.5651054	-0.5241833
temp + nitrate	Atlantic	(27.95,28.05]	-0.6886586	-0.6936316	-0.6836855
temp + nitrate	Atlantic	(28.05,28.1]	-0.7236793	-0.7307358	-0.7166228
temp + nitrate	Atlantic	(28.1,28.15]	-0.7560109	-0.7661045	-0.7459173
temp + nitrate	Atlantic	(28.15,28.2]	-0.7064143	-0.7849300	-0.6278986
temp + nitrate	Atlantic	(28.2, Inf]	0.0023389	-0.0800516	0.0847294
temp + nitrate	Indo-Pacific	(-Inf,26]	-0.5845966	-0.6386011	-0.5305921
temp + nitrate	Indo-Pacific	(26,26.5]	-0.6359458	-0.6408602	-0.6310314
temp + nitrate	Indo-Pacific	(26.5,26.75]	-0.6239279	-0.6356079	-0.6122479
temp + nitrate	Indo-Pacific	(26.75,27]	-0.5853872	-0.6056119	-0.5651625
temp + nitrate	Indo-Pacific	(27,27.25]	-0.4390824	-0.4831131	-0.3950518
temp + nitrate	Indo-Pacific	(27.25,27.5]	-0.1463295	-0.1817361	-0.1109230
temp + nitrate	Indo-Pacific	(27.5,27.75]	-0.0715047	-0.1004281	-0.0425814
temp + nitrate	Indo-Pacific	(27.75,27.85]	-0.1444637	-0.2331229	-0.0558045
temp + nitrate	Indo-Pacific	(27.85,27.95]	-0.1508889	-0.1691949	-0.1325828
temp + nitrate	Indo-Pacific	(27.95,28.05]	-0.1146534	-0.1240931	-0.1052136
temp + nitrate	Indo-Pacific	(28.05,28.1]	-0.0371995	-0.0462440	-0.0281551
temp + nitrate	Indo-Pacific	(28.1,28.2]	0.5274139	0.4534963	0.6013315
temp + nitrate	Indo-Pacific	(28.2,28.3]	0.0433610	-0.0880001	0.1747221
temp + nitrate	Indo-Pacific	(28.3,28.4]	0.2123273	-0.0560689	0.4807234
temp + phosphate	Atlantic	(-Inf,26]	-0.4765204	-0.5225588	-0.4304820
temp + phosphate	Atlantic	(26,26.5]	-0.7915290	-0.7974159	-0.7856421
temp + phosphate	Atlantic	(26.5,26.75]	-0.7529524	-0.7623489	-0.7435560
temp + phosphate	Atlantic	(26.75,27]	-0.6523348	-0.6607732	-0.6438964
temp + phosphate	Atlantic	(27,27.25]	-0.7043011	-0.7495881	-0.6590140
temp + phosphate	Atlantic	(27.25,27.5]	-0.7671260	-0.8026133	-0.7316388
temp + phosphate	Atlantic	(27.5,27.75]	-0.7282828	-0.7360570	-0.7205086
temp + phosphate	Atlantic	(27.75,27.85]	-0.6513336	-0.6567032	-0.6459639
temp + phosphate	Atlantic	(27.85,27.95]	-0.5629883	-0.5891280	-0.5368487
temp + phosphate	Atlantic	(27.95,28.05]	-0.7035674	-0.7045694	-0.7025655
temp + phosphate	Atlantic	(28.05,28.1]	-0.7403208	-0.7490266	-0.7316150
temp + phosphate	Atlantic	(28.1,28.15]	-0.7737133	-0.7858619	-0.7615647
temp + phosphate	Atlantic	(28.15,28.2]	-0.7161974	-0.7948141	-0.6375806
temp + phosphate	Atlantic	(28.2, Inf]	-0.0121314	-0.0966462	0.0723834
temp + phosphate	Indo-Pacific	(-Inf,26]	-0.4750403	-0.5235765	-0.4265041
temp + phosphate	Indo-Pacific	(26,26.5]	-0.5560421	-0.5658258	-0.5462584
temp + phosphate	Indo-Pacific	(26.5,26.75]	-0.5806733	-0.5951026	-0.5662441
temp + phosphate	Indo-Pacific	(26.75,27]	-0.5861431	-0.6070502	-0.5652361
temp + phosphate	Indo-Pacific	(27,27.25]	-0.4341832	-0.4731397	-0.3952267
temp + phosphate	Indo-Pacific	(27.25,27.5]	-0.1226465	-0.1579622	-0.0873309
temp + phosphate	Indo-Pacific	(27.5,27.75]	-0.0228369	-0.0426074	-0.0030663
temp + phosphate	Indo-Pacific	(27.75,27.85]	-0.0983507	-0.1731901	-0.0235114
temp + phosphate	Indo-Pacific	(27.85,27.95]	-0.1261253	-0.1396384	-0.1126123
temp + phosphate	Indo-Pacific	(27.95,28.05]	-0.1055130	-0.1118161	-0.0992099
temp + phosphate	Indo-Pacific	(28.05,28.1]	-0.0266407	-0.0298894	-0.0233920
temp + phosphate	Indo-Pacific	(28.1,28.2]	0.5265977	0.4647329	0.5884625
temp + phosphate	Indo-Pacific	(28.2,28.3]	0.0374034	-0.1671613	0.2419681
temp + phosphate	Indo-Pacific	(28.3,28.4]	0.2735732	0.0043779	0.5427686
temp + phosphate_star	Atlantic	(-Inf,26]	-0.8507841	-0.8539379	-0.8476304
temp + phosphate_star	Atlantic	(26,26.5]	-0.9676410	-0.9720966	-0.9631853
temp + phosphate_star	Atlantic	(26.5,26.75]	-0.9750696	-0.9826103	-0.9675288
temp + phosphate_star	Atlantic	(26.75,27]	-0.9826568	-0.9875522	-0.9777615
temp + phosphate_star	Atlantic	(27,27.25]	-0.9830043	-0.9853207	-0.9806880
temp + phosphate_star	Atlantic	(27.25,27.5]	-0.9740205	-0.9759338	-0.9721072
temp + phosphate_star	Atlantic	(27.5,27.75]	-0.9163144	-0.9197108	-0.9129181
temp + phosphate_star	Atlantic	(27.75,27.85]	-0.8770161	-0.8882538	-0.8657784
temp + phosphate_star	Atlantic	(27.85,27.95]	-0.8423127	-0.8511594	-0.8334659
temp + phosphate_star	Atlantic	(27.95,28.05]	-0.8678451	-0.8689517	-0.8667386
temp + phosphate_star	Atlantic	(28.05,28.1]	-0.8815320	-0.8816387	-0.8814253
temp + phosphate_star	Atlantic	(28.1,28.15]	-0.8775563	-0.8840450	-0.8710675
temp + phosphate_star	Atlantic	(28.15,28.2]	-0.8049931	-0.8279275	-0.7820587
temp + phosphate_star	Atlantic	(28.2, Inf]	-0.3271348	-0.4599840	-0.1942856
temp + phosphate_star	Indo-Pacific	(-Inf,26]	-0.7984555	-0.8080067	-0.7889044
temp + phosphate_star	Indo-Pacific	(26,26.5]	-0.8875824	-0.8949995	-0.8801653
temp + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.9231467	-0.9250227	-0.9212707
temp + phosphate_star	Indo-Pacific	(26.75,27]	-0.9527911	-0.9552333	-0.9503490
temp + phosphate_star	Indo-Pacific	(27,27.25]	-0.9153517	-0.9296937	-0.9010096
temp + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.6861335	-0.7619264	-0.6103407
temp + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.4610748	-0.5586576	-0.3634921
temp + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.4042182	-0.4292784	-0.3791579
temp + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.5869739	-0.6935792	-0.4803686
temp + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.7307979	-0.7613278	-0.7002679
temp + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.5935244	-0.6695064	-0.5175424
temp + phosphate_star	Indo-Pacific	(28.1,28.2]	-0.5165841	-0.5384263	-0.4947418
temp + phosphate_star	Indo-Pacific	(28.2,28.3]	-0.7842990	-0.7889883	-0.7796096
temp + phosphate_star	Indo-Pacific	(28.3,28.4]	-0.8047014	-0.8383157	-0.7710871
temp + silicate	Atlantic	(-Inf,26]	-0.6916032	-0.7333410	-0.6498655
temp + silicate	Atlantic	(26,26.5]	-0.7435516	-0.7580112	-0.7290919
temp + silicate	Atlantic	(26.5,26.75]	-0.6995305	-0.7012716	-0.6977894
temp + silicate	Atlantic	(26.75,27]	-0.5652749	-0.5785404	-0.5520095
temp + silicate	Atlantic	(27,27.25]	-0.6864265	-0.7221925	-0.6506605
temp + silicate	Atlantic	(27.25,27.5]	-0.8415752	-0.8580313	-0.8251190
temp + silicate	Atlantic	(27.5,27.75]	-0.7824075	-0.8146873	-0.7501277
temp + silicate	Atlantic	(27.75,27.85]	-0.7108753	-0.7423837	-0.6793669
temp + silicate	Atlantic	(27.85,27.95]	-0.6664605	-0.6918558	-0.6410652
temp + silicate	Atlantic	(27.95,28.05]	-0.7604714	-0.7636880	-0.7572548
temp + silicate	Atlantic	(28.05,28.1]	-0.7350108	-0.7500987	-0.7199228
temp + silicate	Atlantic	(28.1,28.15]	-0.7606816	-0.7892771	-0.7320861
temp + silicate	Atlantic	(28.15,28.2]	-0.6618646	-0.7695467	-0.5541826
temp + silicate	Atlantic	(28.2, Inf]	0.0262509	-0.0658739	0.1183758
temp + silicate	Indo-Pacific	(-Inf,26]	-0.6460396	-0.7009042	-0.5911750
temp + silicate	Indo-Pacific	(26,26.5]	-0.7267022	-0.7635649	-0.6898394
temp + silicate	Indo-Pacific	(26.5,26.75]	-0.8010323	-0.8051713	-0.7968933
temp + silicate	Indo-Pacific	(26.75,27]	-0.7528344	-0.7628989	-0.7427700
temp + silicate	Indo-Pacific	(27,27.25]	-0.5713365	-0.6366081	-0.5060649
temp + silicate	Indo-Pacific	(27.25,27.5]	-0.3071512	-0.3850799	-0.2292225
temp + silicate	Indo-Pacific	(27.5,27.75]	-0.2128129	-0.2450875	-0.1805383
temp + silicate	Indo-Pacific	(27.75,27.85]	-0.1796906	-0.2304678	-0.1289135
temp + silicate	Indo-Pacific	(27.85,27.95]	-0.1873430	-0.1911510	-0.1835350
temp + silicate	Indo-Pacific	(27.95,28.05]	-0.1345844	-0.1346351	-0.1345337
temp + silicate	Indo-Pacific	(28.05,28.1]	0.0425316	0.0357449	0.0493183
temp + silicate	Indo-Pacific	(28.1,28.2]	0.5373244	0.5105125	0.5641363
temp + silicate	Indo-Pacific	(28.2,28.3]	0.3610641	0.1929176	0.5292106
temp + silicate	Indo-Pacific	(28.3,28.4]	0.4695122	0.2919996	0.6470248

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
25bd183	jens-daniel-mueller	2021-05-26
62bd574	jens-daniel-mueller	2021-05-20
7c56c39	jens-daniel-mueller	2021-05-19
52e7583	jens-daniel-mueller	2021-05-12
969e631	jens-daniel-mueller	2021-05-12
d2a83bc	jens-daniel-mueller	2021-04-16
c0a47df	jens-daniel-mueller	2021-04-16
50290e8	jens-daniel-mueller	2021-04-16
a00ec94	jens-daniel-mueller	2021-04-16
b6fe355	jens-daniel-mueller	2021-04-16
81b7c6d	jens-daniel-mueller	2021-04-16
ddec5b7	jens-daniel-mueller	2021-04-15
29edae5	jens-daniel-mueller	2021-04-14
099d566	jens-daniel-mueller	2021-04-14
bb44686	jens-daniel-mueller	2021-04-14
bf40480	jens-daniel-mueller	2021-04-13
9f31fe3	jens-daniel-mueller	2021-04-13
338dd3c	jens-daniel-mueller	2021-04-09
a79ca2c	jens-daniel-mueller	2021-04-09
eb827c9	jens-daniel-mueller	2021-04-07
19faa17	jens-daniel-mueller	2021-03-24
03b6009	jens-daniel-mueller	2021-03-23
98d4a6d	jens-daniel-mueller	2021-03-23
f155edd	jens-daniel-mueller	2021-03-23
83a13de	jens-daniel-mueller	2021-03-20
cf98c6d	jens-daniel-mueller	2021-03-16
a1d52ff	jens-daniel-mueller	2021-03-15
0bade3b	jens-daniel-mueller	2021-03-15
27c1f4b	jens-daniel-mueller	2021-03-14
af75ebf	jens-daniel-mueller	2021-03-14
5017709	jens-daniel-mueller	2021-03-11
585b07f	jens-daniel-mueller	2021-03-11
85a5ed2	jens-daniel-mueller	2021-03-10
6c0bec6	jens-daniel-mueller	2021-03-05
3c2ec33	jens-daniel-mueller	2021-03-05
af70b94	jens-daniel-mueller	2021-03-04
7b672f7	jens-daniel-mueller	2021-01-11
33ba23c	jens-daniel-mueller	2021-01-07
318609d	jens-daniel-mueller	2020-12-23
9d0b2d0	jens-daniel-mueller	2020-12-23
0aa2b50	jens-daniel-mueller	2020-12-23
2886da0	jens-daniel-mueller	2020-12-19
02f0ee9	jens-daniel-mueller	2020-12-18
7bcb4eb	jens-daniel-mueller	2020-12-18
158fe26	jens-daniel-mueller	2020-12-15
7a9a4cb	jens-daniel-mueller	2020-12-15
61b263c	jens-daniel-mueller	2020-12-15
984697e	jens-daniel-mueller	2020-12-12
3ebff89	jens-daniel-mueller	2020-12-12
5d96d3c	jens-daniel-mueller	2020-12-11
24a632f	jens-daniel-mueller	2020-12-07
6a8004b	jens-daniel-mueller	2020-12-07
70bf1a5	jens-daniel-mueller	2020-12-07
7555355	jens-daniel-mueller	2020-12-07
143d6fa	jens-daniel-mueller	2020-12-07
090e4d5	jens-daniel-mueller	2020-12-02
0ff728b	jens-daniel-mueller	2020-12-01
91435ae	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

# 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]	0.5327809	0.5047679	0.5607939
aou	Atlantic	(26,26.5]	0.0521377	-0.0125722	0.1168476
aou	Atlantic	(26.5,26.75]	-0.3458588	-0.4372102	-0.2545075
aou	Atlantic	(26.75,27]	-0.3250189	-0.3491683	-0.3008696
aou	Atlantic	(27,27.25]	-0.4490207	-0.5095252	-0.3885163
aou	Atlantic	(27.25,27.5]	-0.4946969	-0.5516654	-0.4377284
aou	Atlantic	(27.5,27.75]	-0.7814359	-0.7964627	-0.7664091
aou	Atlantic	(27.75,27.85]	-0.8982824	-0.9296946	-0.8668702
aou	Atlantic	(27.85,27.95]	-0.9075207	-0.9342328	-0.8808087
aou	Atlantic	(27.95,28.05]	-0.8549414	-0.8647488	-0.8451340
aou	Atlantic	(28.05,28.1]	-0.8310189	-0.8377721	-0.8242657
aou	Atlantic	(28.1,28.15]	-0.8523728	-0.8650095	-0.8397361
aou	Atlantic	(28.15,28.2]	-0.9421861	-0.9614601	-0.9229120
aou	Atlantic	(28.2, Inf]	-0.7251608	-0.8056089	-0.6447127
aou	Indo-Pacific	(-Inf,26]	-0.0865970	-0.1502887	-0.0229054
aou	Indo-Pacific	(26,26.5]	-0.7460867	-0.7697224	-0.7224510
aou	Indo-Pacific	(26.5,26.75]	-0.7875728	-0.8207042	-0.7544414
aou	Indo-Pacific	(26.75,27]	-0.7465235	-0.7962764	-0.6967706
aou	Indo-Pacific	(27,27.25]	0.0487132	0.0053329	0.0920936
aou	Indo-Pacific	(27.25,27.5]	0.6035432	0.5752790	0.6318073
aou	Indo-Pacific	(27.5,27.75]	0.7556888	0.7443933	0.7669844
aou	Indo-Pacific	(27.75,27.85]	0.8046818	0.7995620	0.8098016
aou	Indo-Pacific	(27.85,27.95]	0.7520226	0.7289458	0.7750995
aou	Indo-Pacific	(27.95,28.05]	0.5205571	0.4558804	0.5852338
aou	Indo-Pacific	(28.05,28.1]	0.2439172	0.1596372	0.3281972
aou	Indo-Pacific	(28.1,28.2]	0.2351459	0.0847658	0.3855260
aou	Indo-Pacific	(28.2,28.3]	0.0915623	0.0095467	0.1735779
aou	Indo-Pacific	(28.3,28.4]	0.1411430	-0.0131830	0.2954690
aou	Indo-Pacific	(28.4, Inf]	NA	NA	NA
nitrate	Atlantic	(-Inf,26]	0.3308243	0.2938502	0.3677984
nitrate	Atlantic	(26,26.5]	-0.3624637	-0.4231766	-0.3017507
nitrate	Atlantic	(26.5,26.75]	-0.5839588	-0.6819745	-0.4859431
nitrate	Atlantic	(26.75,27]	-0.6209808	-0.6383098	-0.6036517
nitrate	Atlantic	(27,27.25]	-0.7983277	-0.8398664	-0.7567889
nitrate	Atlantic	(27.25,27.5]	-0.9137182	-0.9253636	-0.9020729
nitrate	Atlantic	(27.5,27.75]	-0.9677149	-0.9737803	-0.9616496
nitrate	Atlantic	(27.75,27.85]	-0.9591072	-0.9637756	-0.9544389
nitrate	Atlantic	(27.85,27.95]	-0.9269033	-0.9369019	-0.9169047
nitrate	Atlantic	(27.95,28.05]	-0.8964265	-0.9009884	-0.8918646
nitrate	Atlantic	(28.05,28.1]	-0.8737316	-0.8749963	-0.8724668
nitrate	Atlantic	(28.1,28.15]	-0.8922920	-0.8936716	-0.8909123
nitrate	Atlantic	(28.15,28.2]	-0.9776813	-0.9786467	-0.9767159
nitrate	Atlantic	(28.2, Inf]	-0.9607578	-0.9749543	-0.9465614
nitrate	Indo-Pacific	(-Inf,26]	-0.1021381	-0.1676312	-0.0366451
nitrate	Indo-Pacific	(26,26.5]	-0.8492593	-0.8646325	-0.8338860
nitrate	Indo-Pacific	(26.5,26.75]	-0.8914165	-0.9112234	-0.8716097
nitrate	Indo-Pacific	(26.75,27]	-0.8577101	-0.8805098	-0.8349103
nitrate	Indo-Pacific	(27,27.25]	-0.0421185	-0.0594003	-0.0248367
nitrate	Indo-Pacific	(27.25,27.5]	0.5248600	0.4878736	0.5618464
nitrate	Indo-Pacific	(27.5,27.75]	0.6838603	0.6697554	0.6979652
nitrate	Indo-Pacific	(27.75,27.85]	0.7551197	0.7447437	0.7654957
nitrate	Indo-Pacific	(27.85,27.95]	0.6909757	0.6574030	0.7245483
nitrate	Indo-Pacific	(27.95,28.05]	0.4286280	0.3458443	0.5114117
nitrate	Indo-Pacific	(28.05,28.1]	0.1616214	0.0464481	0.2767946
nitrate	Indo-Pacific	(28.1,28.2]	0.1123285	-0.0807292	0.3053863
nitrate	Indo-Pacific	(28.2,28.3]	-0.2959212	-0.3443579	-0.2474844
nitrate	Indo-Pacific	(28.3,28.4]	-0.6053687	-0.6503392	-0.5603982
nitrate	Indo-Pacific	(28.4, Inf]	NA	NA	NA
phosphate	Atlantic	(-Inf,26]	-0.0110337	-0.1190879	0.0970206
phosphate	Atlantic	(26,26.5]	-0.5826412	-0.6589412	-0.5063412
phosphate	Atlantic	(26.5,26.75]	-0.6985415	-0.7839470	-0.6131360
phosphate	Atlantic	(26.75,27]	-0.7330733	-0.7422832	-0.7238634
phosphate	Atlantic	(27,27.25]	-0.8648332	-0.8914379	-0.8382284
phosphate	Atlantic	(27.25,27.5]	-0.9460392	-0.9528588	-0.9392196
phosphate	Atlantic	(27.5,27.75]	-0.9802885	-0.9822403	-0.9783367
phosphate	Atlantic	(27.75,27.85]	-0.9688952	-0.9710510	-0.9667393
phosphate	Atlantic	(27.85,27.95]	-0.9403834	-0.9404318	-0.9403350
phosphate	Atlantic	(27.95,28.05]	-0.9075756	-0.9111627	-0.9039885
phosphate	Atlantic	(28.05,28.1]	-0.8846670	-0.8884998	-0.8808342
phosphate	Atlantic	(28.1,28.15]	-0.8947485	-0.8965672	-0.8929298
phosphate	Atlantic	(28.15,28.2]	-0.9809647	-0.9815813	-0.9803481
phosphate	Atlantic	(28.2, Inf]	-0.9678123	-0.9806112	-0.9550135
phosphate	Indo-Pacific	(-Inf,26]	-0.0898636	-0.1574407	-0.0222864
phosphate	Indo-Pacific	(26,26.5]	-0.8641651	-0.8778664	-0.8504638
phosphate	Indo-Pacific	(26.5,26.75]	-0.9080544	-0.9238347	-0.8922741
phosphate	Indo-Pacific	(26.75,27]	-0.8669562	-0.8869829	-0.8469294
phosphate	Indo-Pacific	(27,27.25]	-0.0518251	-0.0676089	-0.0360413
phosphate	Indo-Pacific	(27.25,27.5]	0.5192034	0.4816014	0.5568055
phosphate	Indo-Pacific	(27.5,27.75]	0.6633804	0.6448565	0.6819043
phosphate	Indo-Pacific	(27.75,27.85]	0.7252421	0.7156376	0.7348466
phosphate	Indo-Pacific	(27.85,27.95]	0.6618482	0.6255994	0.6980971
phosphate	Indo-Pacific	(27.95,28.05]	0.3866338	0.2946101	0.4786574
phosphate	Indo-Pacific	(28.05,28.1]	0.0930973	-0.0318766	0.2180712
phosphate	Indo-Pacific	(28.1,28.2]	-0.0016107	-0.2057015	0.2024800
phosphate	Indo-Pacific	(28.2,28.3]	-0.6988225	-0.7242163	-0.6734286
phosphate	Indo-Pacific	(28.3,28.4]	-0.7243200	-0.7536601	-0.6949798
phosphate	Indo-Pacific	(28.4, Inf]	NA	NA	NA
phosphate_star	Atlantic	(-Inf,26]	-0.3946207	-0.4402459	-0.3489954
phosphate_star	Atlantic	(26,26.5]	-0.7735553	-0.8350852	-0.7120255
phosphate_star	Atlantic	(26.5,26.75]	-0.8349849	-0.8981909	-0.7717789
phosphate_star	Atlantic	(26.75,27]	-0.9293889	-0.9401361	-0.9186418
phosphate_star	Atlantic	(27,27.25]	-0.9426252	-0.9456942	-0.9395561
phosphate_star	Atlantic	(27.25,27.5]	-0.9356811	-0.9519886	-0.9193736
phosphate_star	Atlantic	(27.5,27.75]	-0.9167170	-0.9267156	-0.9067183
phosphate_star	Atlantic	(27.75,27.85]	-0.8711643	-0.8784842	-0.8638444
phosphate_star	Atlantic	(27.85,27.95]	-0.7855631	-0.7950161	-0.7761100
phosphate_star	Atlantic	(27.95,28.05]	-0.8393973	-0.8458274	-0.8329672
phosphate_star	Atlantic	(28.05,28.1]	-0.8403686	-0.8470042	-0.8337330
phosphate_star	Atlantic	(28.1,28.15]	-0.8692417	-0.8711688	-0.8673146
phosphate_star	Atlantic	(28.15,28.2]	-0.9717694	-0.9756964	-0.9678425
phosphate_star	Atlantic	(28.2, Inf]	-0.9569146	-0.9702415	-0.9435876
phosphate_star	Indo-Pacific	(-Inf,26]	0.0500986	0.0035077	0.0966896
phosphate_star	Indo-Pacific	(26,26.5]	-0.8545544	-0.8566775	-0.8524313
phosphate_star	Indo-Pacific	(26.5,26.75]	-0.8806853	-0.8936474	-0.8677232
phosphate_star	Indo-Pacific	(26.75,27]	-0.7830353	-0.8259699	-0.7401008
phosphate_star	Indo-Pacific	(27,27.25]	-0.2644626	-0.3709717	-0.1579535
phosphate_star	Indo-Pacific	(27.25,27.5]	-0.3568296	-0.3599916	-0.3536675
phosphate_star	Indo-Pacific	(27.5,27.75]	-0.6083375	-0.6426230	-0.5740520
phosphate_star	Indo-Pacific	(27.75,27.85]	-0.6054838	-0.6445060	-0.5664616
phosphate_star	Indo-Pacific	(27.85,27.95]	-0.3892534	-0.4148459	-0.3636609
phosphate_star	Indo-Pacific	(27.95,28.05]	-0.2662741	-0.3535023	-0.1790460
phosphate_star	Indo-Pacific	(28.05,28.1]	-0.3111139	-0.4651760	-0.1570518
phosphate_star	Indo-Pacific	(28.1,28.2]	-0.5253492	-0.6085351	-0.4421632
phosphate_star	Indo-Pacific	(28.2,28.3]	-0.4910253	-0.5188601	-0.4631904
phosphate_star	Indo-Pacific	(28.3,28.4]	-0.5553534	-0.6610904	-0.4496165
phosphate_star	Indo-Pacific	(28.4, Inf]	NA	NA	NA
sal	Atlantic	(-Inf,26]	0.2903646	0.1941204	0.3866087
sal	Atlantic	(26,26.5]	0.7112010	0.6174006	0.8050015
sal	Atlantic	(26.5,26.75]	0.7707216	0.6781612	0.8632820
sal	Atlantic	(26.75,27]	0.8985783	0.8830115	0.9141451
sal	Atlantic	(27,27.25]	0.9201696	0.9172546	0.9230845
sal	Atlantic	(27.25,27.5]	0.8938763	0.8722624	0.9154902
sal	Atlantic	(27.5,27.75]	0.7762166	0.7670948	0.7853385
sal	Atlantic	(27.75,27.85]	0.6101905	0.5923774	0.6280036
sal	Atlantic	(27.85,27.95]	0.4202418	0.4180121	0.4224714
sal	Atlantic	(27.95,28.05]	0.5917665	0.5821719	0.6013612
sal	Atlantic	(28.05,28.1]	0.6526920	0.6401073	0.6652767
sal	Atlantic	(28.1,28.15]	0.7373841	0.7284028	0.7463653
sal	Atlantic	(28.15,28.2]	0.9068058	0.8959755	0.9176360
sal	Atlantic	(28.2, Inf]	0.9363828	0.9227084	0.9500571
sal	Indo-Pacific	(-Inf,26]	0.0249664	-0.0125795	0.0625124
sal	Indo-Pacific	(26,26.5]	0.6223176	0.6104815	0.6341537
sal	Indo-Pacific	(26.5,26.75]	0.7135991	0.6916148	0.7355833
sal	Indo-Pacific	(26.75,27]	0.5859845	0.5209826	0.6509865
sal	Indo-Pacific	(27,27.25]	-0.2069122	-0.3569087	-0.0569156
sal	Indo-Pacific	(27.25,27.5]	-0.4121078	-0.5363159	-0.2878996
sal	Indo-Pacific	(27.5,27.75]	-0.2818656	-0.3598544	-0.2038768
sal	Indo-Pacific	(27.75,27.85]	-0.3876972	-0.4126473	-0.3627471
sal	Indo-Pacific	(27.85,27.95]	-0.3285514	-0.4022670	-0.2548359
sal	Indo-Pacific	(27.95,28.05]	-0.0856642	-0.1876236	0.0162952
sal	Indo-Pacific	(28.05,28.1]	0.0395775	-0.1186249	0.1977798
sal	Indo-Pacific	(28.1,28.2]	0.1080983	-0.0320997	0.2482962
sal	Indo-Pacific	(28.2,28.3]	0.1593334	0.0754657	0.2432011
sal	Indo-Pacific	(28.3,28.4]	0.2423141	0.1211884	0.3634398
sal	Indo-Pacific	(28.4, Inf]	NA	NA	NA
silicate	Atlantic	(-Inf,26]	0.0100661	-0.0167017	0.0368340
silicate	Atlantic	(26,26.5]	-0.5375888	-0.6307759	-0.4444017
silicate	Atlantic	(26.5,26.75]	-0.6174124	-0.7389727	-0.4958521
silicate	Atlantic	(26.75,27]	-0.6504055	-0.6525472	-0.6482639
silicate	Atlantic	(27,27.25]	-0.8309291	-0.8498803	-0.8119780
silicate	Atlantic	(27.25,27.5]	-0.9070321	-0.9197453	-0.8943189
silicate	Atlantic	(27.5,27.75]	-0.8789018	-0.8938601	-0.8639435
silicate	Atlantic	(27.75,27.85]	-0.8869695	-0.8986660	-0.8752731
silicate	Atlantic	(27.85,27.95]	-0.8661051	-0.8690834	-0.8631268
silicate	Atlantic	(27.95,28.05]	-0.8529551	-0.8598589	-0.8460513
silicate	Atlantic	(28.05,28.1]	-0.8480011	-0.8526654	-0.8433368
silicate	Atlantic	(28.1,28.15]	-0.8746713	-0.8751272	-0.8742153
silicate	Atlantic	(28.15,28.2]	-0.9660197	-0.9723491	-0.9596904
silicate	Atlantic	(28.2, Inf]	-0.9383334	-0.9582949	-0.9183719
silicate	Indo-Pacific	(-Inf,26]	-0.1234444	-0.1835789	-0.0633098
silicate	Indo-Pacific	(26,26.5]	-0.7341708	-0.7380068	-0.7303348
silicate	Indo-Pacific	(26.5,26.75]	-0.7669700	-0.7672548	-0.7666852
silicate	Indo-Pacific	(26.75,27]	-0.6550914	-0.6687658	-0.6414169
silicate	Indo-Pacific	(27,27.25]	0.2542531	0.2161228	0.2923835
silicate	Indo-Pacific	(27.25,27.5]	0.7875740	0.7817321	0.7934159
silicate	Indo-Pacific	(27.5,27.75]	0.8665021	0.8608971	0.8721070
silicate	Indo-Pacific	(27.75,27.85]	0.8320291	0.8174773	0.8465809
silicate	Indo-Pacific	(27.85,27.95]	0.7395825	0.7119577	0.7672073
silicate	Indo-Pacific	(27.95,28.05]	0.4873006	0.4121635	0.5624377
silicate	Indo-Pacific	(28.05,28.1]	0.1976846	0.1019896	0.2933796
silicate	Indo-Pacific	(28.1,28.2]	0.1317711	-0.0241970	0.2877391
silicate	Indo-Pacific	(28.2,28.3]	-0.1342209	-0.1780845	-0.0903573
silicate	Indo-Pacific	(28.3,28.4]	-0.4977471	-0.5018989	-0.4935953
silicate	Indo-Pacific	(28.4, Inf]	NA	NA	NA
temp	Atlantic	(-Inf,26]	0.1214337	0.0629488	0.1799186
temp	Atlantic	(26,26.5]	0.6923700	0.6264023	0.7583377
temp	Atlantic	(26.5,26.75]	0.7532683	0.6473059	0.8592307
temp	Atlantic	(26.75,27]	0.8782500	0.8509054	0.9055945
temp	Atlantic	(27,27.25]	0.8940156	0.8938100	0.8942211
temp	Atlantic	(27.25,27.5]	0.8700264	0.8453260	0.8947267
temp	Atlantic	(27.5,27.75]	0.7395245	0.7365863	0.7424627
temp	Atlantic	(27.75,27.85]	0.6070865	0.5819733	0.6321998
temp	Atlantic	(27.85,27.95]	0.4328087	0.4278804	0.4377371
temp	Atlantic	(27.95,28.05]	0.5569369	0.5359775	0.5778963
temp	Atlantic	(28.05,28.1]	0.5639815	0.5460163	0.5819466
temp	Atlantic	(28.1,28.15]	0.5929758	0.5685883	0.6173633
temp	Atlantic	(28.15,28.2]	0.6708303	0.6291227	0.7125379
temp	Atlantic	(28.2, Inf]	0.1259406	0.0285975	0.2232836
temp	Indo-Pacific	(-Inf,26]	-0.3504862	-0.3646109	-0.3363614
temp	Indo-Pacific	(26,26.5]	0.6185209	0.6144010	0.6226408
temp	Indo-Pacific	(26.5,26.75]	0.6922768	0.6683143	0.7162394
temp	Indo-Pacific	(26.75,27]	0.6105939	0.5474323	0.6737556
temp	Indo-Pacific	(27,27.25]	-0.0616801	-0.2059347	0.0825745
temp	Indo-Pacific	(27.25,27.5]	-0.3675363	-0.4694193	-0.2656533
temp	Indo-Pacific	(27.5,27.75]	-0.3352284	-0.3901970	-0.2802599
temp	Indo-Pacific	(27.75,27.85]	-0.3122690	-0.3318803	-0.2926577
temp	Indo-Pacific	(27.85,27.95]	-0.2255186	-0.2727687	-0.1782685
temp	Indo-Pacific	(27.95,28.05]	-0.0008739	-0.0561414	0.0543936
temp	Indo-Pacific	(28.05,28.1]	0.1536201	0.0898507	0.2173894
temp	Indo-Pacific	(28.1,28.2]	0.2775819	0.1569471	0.3982168
temp	Indo-Pacific	(28.2,28.3]	0.1013018	0.0412741	0.1613295
temp	Indo-Pacific	(28.3,28.4]	0.1321866	-0.0630278	0.3274010
temp	Indo-Pacific	(28.4, Inf]	NA	NA	NA

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_1.4-1         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_2.1.0               
[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_0.0.2           jsonlite_1.7.1           zip_2.1.1               
[40] car_3.0-10               magrittr_1.5             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_0.10.1.2.0 data.table_1.13.2       
[67] modelr_0.1.8             vctrs_0.3.5              httpuv_1.5.4            
[70] cellranger_1.1.0         gtable_0.3.0             reshape_0.8.8           
[73] assertthat_0.2.1         xfun_0.18                openxlsx_4.2.3          
[76] RcppEigen_0.3.3.7.0      later_1.1.0.1            viridisLite_0.3.0       
[79] ellipsis_0.3.1           here_0.1